- FindStat

Your data matches 52 different statistics following compositions of up to 3 maps.
(click to perform a complete search on your data)

Matching statistic: St000478

Mapping

Mp00193: Lattices —to poset⟶ Posets
Mp00110: Posets —Greene-Kleitman invariant⟶ Integer partitions
Mp00202: Integer partitions —first row removal⟶ Integer partitions
St000478: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%

Values

([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
 => ([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
 => [3,1,1]
 => [1,1]
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
 => ([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
 => [3,1,1,1]
 => [1,1,1]
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
 => ([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
 => [4,1,1]
 => [1,1]
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
 => ([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
 => [4,1,1]
 => [1,1]
 => 0
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
 => ([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
 => [4,1,1]
 => [1,1]
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
 => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
 => [4,1,1]
 => [1,1]
 => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
 => ([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
 => [4,1,1]
 => [1,1]
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)
 => ([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)
 => [4,2]
 => [2]
 => 1
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => [4,2]
 => [2]
 => 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
 => [3,1,1,1,1]
 => [1,1,1,1]
 => 0
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
 => ([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
 => [4,1,1,1]
 => [1,1,1]
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
 => [4,1,1,1]
 => [1,1,1]
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
 => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
 => [4,1,1,1]
 => [1,1,1]
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
 => ([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
 => [4,1,1,1]
 => [1,1,1]
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
 => ([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
 => [5,1,1]
 => [1,1]
 => 0
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
 => ([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
 => [5,1,1]
 => [1,1]
 => 0
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
 => ([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
 => [5,1,1]
 => [1,1]
 => 0
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
 => ([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
 => [5,1,1]
 => [1,1]
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
 => ([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
 => [5,1,1]
 => [1,1]
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)
 => [5,1,1]
 => [1,1]
 => 0
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)
 => ([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)
 => [5,2]
 => [2]
 => 1
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
 => ([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
 => [5,2]
 => [2]
 => 1
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
 => ([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
 => [5,1,1]
 => [1,1]
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
 => ([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
 => [5,1,1]
 => [1,1]
 => 0
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
 => ([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
 => [5,1,1]
 => [1,1]
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
 => [4,1,1,1]
 => [1,1,1]
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)
 => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)
 => [5,1,1]
 => [1,1]
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => [5,2]
 => [2]
 => 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
 => [4,1,1,1]
 => [1,1,1]
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)
 => ([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)
 => [5,1,1]
 => [1,1]
 => 0
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)
 => ([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)
 => [4,1,1,1]
 => [1,1,1]
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)
 => ([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)
 => [4,2,1]
 => [2,1]
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
 => [4,2,1]
 => [2,1]
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)
 => ([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)
 => [5,1,1]
 => [1,1]
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
 => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
 => [4,2,1]
 => [2,1]
 => 0
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
 => [5,1,1]
 => [1,1]
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
 => [4,2,1]
 => [2,1]
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
 => [4,2,1]
 => [2,1]
 => 0
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
 => ([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
 => [5,2]
 => [2]
 => 1
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
 => ([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
 => [5,2]
 => [2]
 => 1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
 => [5,2]
 => [2]
 => 1
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
 => ([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
 => [4,2,1]
 => [2,1]
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
 => [4,2,1]
 => [2,1]
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
 => [5,1,1]
 => [1,1]
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
 => ([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
 => [5,1,1]
 => [1,1]
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)
 => [4,2,1]
 => [2,1]
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
 => [5,2]
 => [2]
 => 1
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
 => ([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
 => [5,1,1]
 => [1,1]
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)
 => ([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)
 => [5,2]
 => [2]
 => 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
 => ([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
 => [5,2]
 => [2]
 => 1

Description

Another weight of a partition according to Alladi. According to Theorem 3.4 (Alladi 2012) in [1]

$\sum_{\pi\in GG_1(r)} w_1(\pi)$ equals the number of partitions of

$r$ whose odd parts are all distinct.

$GG_1(r)$ is the set of partitions of

$r$ where consecutive entries differ by at least

$2$ , and consecutive even entries differ by at least

$4$ .

Matching statistic: St000095
(load all 2 compositions to match this statistic)

Mapping

Mp00197: Lattices —lattice of congruences⟶ Lattices
Mp00193: Lattices —to poset⟶ Posets
Mp00198: Posets —incomparability graph⟶ Graphs
St000095: Graphs ⟶ ℤResult quality: 25% ●values known / values provided: 41%●distinct values known / distinct values provided: 25%

Values

([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(3,6),(4,5)],7)
 => ? = 1
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(3,6),(4,5)],7)
 => ? = 0
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(2,3),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(4,13),(5,9),(5,12),(6,9),(6,12),(6,13),(7,8),(7,10),(7,11),(8,9),(8,12),(8,13),(9,10),(9,11),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(3,4),(5,8),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,10),(8,9)],11)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(2,3),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(4,13),(5,9),(5,12),(6,9),(6,12),(6,13),(7,8),(7,10),(7,11),(8,9),(8,12),(8,13),(9,10),(9,11),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 0
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 2
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 2
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
 => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
 => ?
 => ?
 => ? = 2
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = -1
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,1),(0,2),(1,12),(2,3),(2,4),(2,5),(2,12),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,9),(5,10),(6,13),(6,14),(7,13),(7,15),(8,14),(8,15),(9,13),(9,16),(10,14),(10,16),(11,15),(11,16),(12,6),(12,7),(12,8),(13,17),(14,17),(15,17),(16,17)],18)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,1),(1,2),(1,3),(1,4),(1,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16)],17)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,9),(1,10),(2,6),(2,8),(3,6),(3,7),(4,1),(4,7),(4,8),(5,2),(5,3),(5,4),(6,12),(7,9),(7,12),(8,10),(8,12),(9,11),(10,11),(12,11)],13)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(2,9),(3,6),(3,9),(4,6),(4,7),(5,2),(5,3),(5,4),(6,10),(7,10),(9,1),(9,10),(10,8)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,2),(5,3),(5,4),(6,9),(7,9),(8,9),(9,1)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = -1
([(0,1),(0,2),(1,11),(2,3),(2,4),(2,11),(3,8),(3,10),(4,5),(4,9),(4,10),(5,6),(5,7),(6,13),(7,13),(8,12),(9,7),(9,12),(10,6),(10,12),(11,8),(11,9),(12,13)],14)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,9),(6,9),(7,10),(8,10),(9,7),(9,8)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0

Description

The number of triangles of a graph. A triangle

$T$ of a graph

$G$ is a collection of three vertices

$\{u,v,w\} \in G$ such that they form

$K_3$ , the complete graph on three vertices.

Matching statistic: St000096

Mapping

Mp00197: Lattices —lattice of congruences⟶ Lattices
Mp00193: Lattices —to poset⟶ Posets
Mp00198: Posets —incomparability graph⟶ Graphs
St000096: Graphs ⟶ ℤResult quality: 25% ●values known / values provided: 41%●distinct values known / distinct values provided: 25%

Values

([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(3,6),(4,5)],7)
 => ? = 1
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(3,6),(4,5)],7)
 => ? = 0
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(2,3),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(4,13),(5,9),(5,12),(6,9),(6,12),(6,13),(7,8),(7,10),(7,11),(8,9),(8,12),(8,13),(9,10),(9,11),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(3,4),(5,8),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,10),(8,9)],11)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(2,3),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(4,13),(5,9),(5,12),(6,9),(6,12),(6,13),(7,8),(7,10),(7,11),(8,9),(8,12),(8,13),(9,10),(9,11),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 0
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 2
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 2
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
 => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
 => ?
 => ?
 => ? = 2
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = -1
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,1),(0,2),(1,12),(2,3),(2,4),(2,5),(2,12),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,9),(5,10),(6,13),(6,14),(7,13),(7,15),(8,14),(8,15),(9,13),(9,16),(10,14),(10,16),(11,15),(11,16),(12,6),(12,7),(12,8),(13,17),(14,17),(15,17),(16,17)],18)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,1),(1,2),(1,3),(1,4),(1,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16)],17)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,9),(1,10),(2,6),(2,8),(3,6),(3,7),(4,1),(4,7),(4,8),(5,2),(5,3),(5,4),(6,12),(7,9),(7,12),(8,10),(8,12),(9,11),(10,11),(12,11)],13)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(2,9),(3,6),(3,9),(4,6),(4,7),(5,2),(5,3),(5,4),(6,10),(7,10),(9,1),(9,10),(10,8)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,2),(5,3),(5,4),(6,9),(7,9),(8,9),(9,1)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = -1
([(0,1),(0,2),(1,11),(2,3),(2,4),(2,11),(3,8),(3,10),(4,5),(4,9),(4,10),(5,6),(5,7),(6,13),(7,13),(8,12),(9,7),(9,12),(10,6),(10,12),(11,8),(11,9),(12,13)],14)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,9),(6,9),(7,10),(8,10),(9,7),(9,8)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0

Description

The number of spanning trees of a graph. A subgraph

$H \subseteq G$ is a spanning tree if

$V(H)=V(G)$ and

$H$ is a tree (i.e.

$H$ is connected and contains no cycles).

Matching statistic: St000261

Mapping

Mp00197: Lattices —lattice of congruences⟶ Lattices
Mp00193: Lattices —to poset⟶ Posets
Mp00198: Posets —incomparability graph⟶ Graphs
St000261: Graphs ⟶ ℤResult quality: 25% ●values known / values provided: 41%●distinct values known / distinct values provided: 25%

Values

([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(3,6),(4,5)],7)
 => ? = 1
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(3,6),(4,5)],7)
 => ? = 0
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(2,3),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(4,13),(5,9),(5,12),(6,9),(6,12),(6,13),(7,8),(7,10),(7,11),(8,9),(8,12),(8,13),(9,10),(9,11),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(3,4),(5,8),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,10),(8,9)],11)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(2,3),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(4,13),(5,9),(5,12),(6,9),(6,12),(6,13),(7,8),(7,10),(7,11),(8,9),(8,12),(8,13),(9,10),(9,11),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 0
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 2
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 2
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
 => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
 => ?
 => ?
 => ? = 2
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = -1
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,1),(0,2),(1,12),(2,3),(2,4),(2,5),(2,12),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,9),(5,10),(6,13),(6,14),(7,13),(7,15),(8,14),(8,15),(9,13),(9,16),(10,14),(10,16),(11,15),(11,16),(12,6),(12,7),(12,8),(13,17),(14,17),(15,17),(16,17)],18)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,1),(1,2),(1,3),(1,4),(1,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16)],17)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,9),(1,10),(2,6),(2,8),(3,6),(3,7),(4,1),(4,7),(4,8),(5,2),(5,3),(5,4),(6,12),(7,9),(7,12),(8,10),(8,12),(9,11),(10,11),(12,11)],13)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(2,9),(3,6),(3,9),(4,6),(4,7),(5,2),(5,3),(5,4),(6,10),(7,10),(9,1),(9,10),(10,8)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,2),(5,3),(5,4),(6,9),(7,9),(8,9),(9,1)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = -1
([(0,1),(0,2),(1,11),(2,3),(2,4),(2,11),(3,8),(3,10),(4,5),(4,9),(4,10),(5,6),(5,7),(6,13),(7,13),(8,12),(9,7),(9,12),(10,6),(10,12),(11,8),(11,9),(12,13)],14)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,9),(6,9),(7,10),(8,10),(9,7),(9,8)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0

Description

The edge connectivity of a graph. This is the minimum number of edges that has to be removed to make the graph disconnected.

Matching statistic: St000262

Mapping

Mp00197: Lattices —lattice of congruences⟶ Lattices
Mp00193: Lattices —to poset⟶ Posets
Mp00198: Posets —incomparability graph⟶ Graphs
St000262: Graphs ⟶ ℤResult quality: 25% ●values known / values provided: 41%●distinct values known / distinct values provided: 25%

Values

([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(3,6),(4,5)],7)
 => ? = 1
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(3,6),(4,5)],7)
 => ? = 0
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(2,3),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(4,13),(5,9),(5,12),(6,9),(6,12),(6,13),(7,8),(7,10),(7,11),(8,9),(8,12),(8,13),(9,10),(9,11),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(3,4),(5,8),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,10),(8,9)],11)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(2,3),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(4,13),(5,9),(5,12),(6,9),(6,12),(6,13),(7,8),(7,10),(7,11),(8,9),(8,12),(8,13),(9,10),(9,11),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 0
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 2
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 2
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
 => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
 => ?
 => ?
 => ? = 2
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = -1
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,1),(0,2),(1,12),(2,3),(2,4),(2,5),(2,12),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,9),(5,10),(6,13),(6,14),(7,13),(7,15),(8,14),(8,15),(9,13),(9,16),(10,14),(10,16),(11,15),(11,16),(12,6),(12,7),(12,8),(13,17),(14,17),(15,17),(16,17)],18)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,1),(1,2),(1,3),(1,4),(1,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16)],17)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,9),(1,10),(2,6),(2,8),(3,6),(3,7),(4,1),(4,7),(4,8),(5,2),(5,3),(5,4),(6,12),(7,9),(7,12),(8,10),(8,12),(9,11),(10,11),(12,11)],13)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(2,9),(3,6),(3,9),(4,6),(4,7),(5,2),(5,3),(5,4),(6,10),(7,10),(9,1),(9,10),(10,8)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,2),(5,3),(5,4),(6,9),(7,9),(8,9),(9,1)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = -1
([(0,1),(0,2),(1,11),(2,3),(2,4),(2,11),(3,8),(3,10),(4,5),(4,9),(4,10),(5,6),(5,7),(6,13),(7,13),(8,12),(9,7),(9,12),(10,6),(10,12),(11,8),(11,9),(12,13)],14)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,9),(6,9),(7,10),(8,10),(9,7),(9,8)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0

Description

The vertex connectivity of a graph. For non-complete graphs, this is the minimum number of vertices that has to be removed to make the graph disconnected.

Matching statistic: St000274

Mapping

Mp00197: Lattices —lattice of congruences⟶ Lattices
Mp00193: Lattices —to poset⟶ Posets
Mp00198: Posets —incomparability graph⟶ Graphs
St000274: Graphs ⟶ ℤResult quality: 25% ●values known / values provided: 41%●distinct values known / distinct values provided: 25%

Values

([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(3,6),(4,5)],7)
 => ? = 1
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(3,6),(4,5)],7)
 => ? = 0
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(2,3),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(4,13),(5,9),(5,12),(6,9),(6,12),(6,13),(7,8),(7,10),(7,11),(8,9),(8,12),(8,13),(9,10),(9,11),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(3,4),(5,8),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,10),(8,9)],11)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(2,3),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(4,13),(5,9),(5,12),(6,9),(6,12),(6,13),(7,8),(7,10),(7,11),(8,9),(8,12),(8,13),(9,10),(9,11),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 0
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 2
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 2
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
 => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
 => ?
 => ?
 => ? = 2
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = -1
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,1),(0,2),(1,12),(2,3),(2,4),(2,5),(2,12),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,9),(5,10),(6,13),(6,14),(7,13),(7,15),(8,14),(8,15),(9,13),(9,16),(10,14),(10,16),(11,15),(11,16),(12,6),(12,7),(12,8),(13,17),(14,17),(15,17),(16,17)],18)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,1),(1,2),(1,3),(1,4),(1,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16)],17)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,9),(1,10),(2,6),(2,8),(3,6),(3,7),(4,1),(4,7),(4,8),(5,2),(5,3),(5,4),(6,12),(7,9),(7,12),(8,10),(8,12),(9,11),(10,11),(12,11)],13)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(2,9),(3,6),(3,9),(4,6),(4,7),(5,2),(5,3),(5,4),(6,10),(7,10),(9,1),(9,10),(10,8)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,2),(5,3),(5,4),(6,9),(7,9),(8,9),(9,1)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = -1
([(0,1),(0,2),(1,11),(2,3),(2,4),(2,11),(3,8),(3,10),(4,5),(4,9),(4,10),(5,6),(5,7),(6,13),(7,13),(8,12),(9,7),(9,12),(10,6),(10,12),(11,8),(11,9),(12,13)],14)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,9),(6,9),(7,10),(8,10),(9,7),(9,8)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0

Description

The number of perfect matchings of a graph. A matching of a graph

$G$ is a subset

$F \subset E(G)$ such that no two edges in

$F$ share a vertex in common. A perfect matching

$F'$ is then a matching such that every vertex in

$V(G)$ is incident with exactly one edge in

$F'$ .

Matching statistic: St000276

Mapping

Mp00197: Lattices —lattice of congruences⟶ Lattices
Mp00193: Lattices —to poset⟶ Posets
Mp00198: Posets —incomparability graph⟶ Graphs
St000276: Graphs ⟶ ℤResult quality: 25% ●values known / values provided: 41%●distinct values known / distinct values provided: 25%

Values

([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(3,6),(4,5)],7)
 => ? = 1
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(3,6),(4,5)],7)
 => ? = 0
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(2,3),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(4,13),(5,9),(5,12),(6,9),(6,12),(6,13),(7,8),(7,10),(7,11),(8,9),(8,12),(8,13),(9,10),(9,11),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(3,4),(5,8),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,10),(8,9)],11)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(2,3),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(4,13),(5,9),(5,12),(6,9),(6,12),(6,13),(7,8),(7,10),(7,11),(8,9),(8,12),(8,13),(9,10),(9,11),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 0
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 2
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 2
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
 => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
 => ?
 => ?
 => ? = 2
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = -1
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,1),(0,2),(1,12),(2,3),(2,4),(2,5),(2,12),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,9),(5,10),(6,13),(6,14),(7,13),(7,15),(8,14),(8,15),(9,13),(9,16),(10,14),(10,16),(11,15),(11,16),(12,6),(12,7),(12,8),(13,17),(14,17),(15,17),(16,17)],18)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,1),(1,2),(1,3),(1,4),(1,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16)],17)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,9),(1,10),(2,6),(2,8),(3,6),(3,7),(4,1),(4,7),(4,8),(5,2),(5,3),(5,4),(6,12),(7,9),(7,12),(8,10),(8,12),(9,11),(10,11),(12,11)],13)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(2,9),(3,6),(3,9),(4,6),(4,7),(5,2),(5,3),(5,4),(6,10),(7,10),(9,1),(9,10),(10,8)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,2),(5,3),(5,4),(6,9),(7,9),(8,9),(9,1)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = -1
([(0,1),(0,2),(1,11),(2,3),(2,4),(2,11),(3,8),(3,10),(4,5),(4,9),(4,10),(5,6),(5,7),(6,13),(7,13),(8,12),(9,7),(9,12),(10,6),(10,12),(11,8),(11,9),(12,13)],14)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,9),(6,9),(7,10),(8,10),(9,7),(9,8)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0

Description

The size of the preimage of the map 'to graph' from Ordered trees to Graphs.

Matching statistic: St000303
(load all 2 compositions to match this statistic)

Mapping

Mp00197: Lattices —lattice of congruences⟶ Lattices
Mp00193: Lattices —to poset⟶ Posets
Mp00198: Posets —incomparability graph⟶ Graphs
St000303: Graphs ⟶ ℤResult quality: 25% ●values known / values provided: 41%●distinct values known / distinct values provided: 25%

Values

([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(3,6),(4,5)],7)
 => ? = 1
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(3,6),(4,5)],7)
 => ? = 0
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(2,3),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(4,13),(5,9),(5,12),(6,9),(6,12),(6,13),(7,8),(7,10),(7,11),(8,9),(8,12),(8,13),(9,10),(9,11),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(3,4),(5,8),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,10),(8,9)],11)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(2,3),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(4,13),(5,9),(5,12),(6,9),(6,12),(6,13),(7,8),(7,10),(7,11),(8,9),(8,12),(8,13),(9,10),(9,11),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 0
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 2
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 2
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
 => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
 => ?
 => ?
 => ? = 2
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = -1
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,1),(0,2),(1,12),(2,3),(2,4),(2,5),(2,12),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,9),(5,10),(6,13),(6,14),(7,13),(7,15),(8,14),(8,15),(9,13),(9,16),(10,14),(10,16),(11,15),(11,16),(12,6),(12,7),(12,8),(13,17),(14,17),(15,17),(16,17)],18)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,1),(1,2),(1,3),(1,4),(1,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16)],17)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,9),(1,10),(2,6),(2,8),(3,6),(3,7),(4,1),(4,7),(4,8),(5,2),(5,3),(5,4),(6,12),(7,9),(7,12),(8,10),(8,12),(9,11),(10,11),(12,11)],13)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(2,9),(3,6),(3,9),(4,6),(4,7),(5,2),(5,3),(5,4),(6,10),(7,10),(9,1),(9,10),(10,8)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,2),(5,3),(5,4),(6,9),(7,9),(8,9),(9,1)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = -1
([(0,1),(0,2),(1,11),(2,3),(2,4),(2,11),(3,8),(3,10),(4,5),(4,9),(4,10),(5,6),(5,7),(6,13),(7,13),(8,12),(9,7),(9,12),(10,6),(10,12),(11,8),(11,9),(12,13)],14)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,9),(6,9),(7,10),(8,10),(9,7),(9,8)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0

Description

The determinant of the product of the incidence matrix and its transpose of a graph divided by

$4$ .

Matching statistic: St000310

Mapping

Mp00197: Lattices —lattice of congruences⟶ Lattices
Mp00193: Lattices —to poset⟶ Posets
Mp00198: Posets —incomparability graph⟶ Graphs
St000310: Graphs ⟶ ℤResult quality: 25% ●values known / values provided: 41%●distinct values known / distinct values provided: 25%

Values

([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(3,6),(4,5)],7)
 => ? = 1
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(3,6),(4,5)],7)
 => ? = 0
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(2,3),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(4,13),(5,9),(5,12),(6,9),(6,12),(6,13),(7,8),(7,10),(7,11),(8,9),(8,12),(8,13),(9,10),(9,11),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = 0
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(2,3)],4)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(2,5),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([],4)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(3,4),(5,8),(5,9),(5,10),(6,7),(6,9),(6,10),(7,8),(7,10),(8,9)],11)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(2,3),(2,8),(2,11),(3,8),(3,10),(4,5),(4,9),(4,13),(5,9),(5,12),(6,9),(6,12),(6,13),(7,8),(7,10),(7,11),(8,9),(8,12),(8,13),(9,10),(9,11),(10,11),(10,12),(10,13),(11,12),(11,13),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(2,9),(3,6),(3,7),(3,8),(4,5),(4,7),(4,8),(5,6),(5,8),(6,7),(6,9),(7,9),(8,9)],10)
 => ? = 0
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 2
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 2
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
 => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
 => ?
 => ?
 => ? = 2
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(2,5),(2,6),(2,7),(3,4),(3,6),(3,7),(4,5),(4,7),(5,6)],8)
 => ? = -1
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 1
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 2
([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(2,5),(2,7),(2,8),(2,9),(2,11),(2,14),(2,15),(3,4),(3,6),(3,7),(3,9),(3,11),(3,13),(3,15),(4,6),(4,7),(4,8),(4,11),(4,12),(4,14),(5,6),(5,8),(5,9),(5,11),(5,12),(5,13),(6,7),(6,10),(6,14),(6,15),(7,10),(7,12),(7,13),(8,9),(8,10),(8,13),(8,15),(9,10),(9,12),(9,14),(10,11),(10,12),(10,13),(10,14),(10,15),(11,12),(11,13),(11,14),(11,15),(12,13),(12,14),(12,15),(13,14),(13,15),(14,15)],16)
 => ? = 0
([(0,1),(0,2),(1,12),(2,3),(2,4),(2,5),(2,12),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,9),(5,10),(6,13),(6,14),(7,13),(7,15),(8,14),(8,15),(9,13),(9,16),(10,14),(10,16),(11,15),(11,16),(12,6),(12,7),(12,8),(13,17),(14,17),(15,17),(16,17)],18)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,1),(1,2),(1,3),(1,4),(1,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16)],17)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,9),(1,10),(2,6),(2,8),(3,6),(3,7),(4,1),(4,7),(4,8),(5,2),(5,3),(5,4),(6,12),(7,9),(7,12),(8,10),(8,12),(9,11),(10,11),(12,11)],13)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(2,9),(3,6),(3,9),(4,6),(4,7),(5,2),(5,3),(5,4),(6,10),(7,10),(9,1),(9,10),(10,8)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,2),(5,3),(5,4),(6,9),(7,9),(8,9),(9,1)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = -1
([(0,1),(0,2),(1,11),(2,3),(2,4),(2,11),(3,8),(3,10),(4,5),(4,9),(4,10),(5,6),(5,7),(6,13),(7,13),(8,12),(9,7),(9,12),(10,6),(10,12),(11,8),(11,9),(12,13)],14)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 1
([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(2,7),(2,8),(2,9),(2,10),(2,11),(2,22),(2,23),(2,24),(2,25),(2,26),(2,27),(2,28),(2,29),(2,30),(2,31),(3,4),(3,5),(3,6),(3,10),(3,11),(3,15),(3,19),(3,20),(3,21),(3,25),(3,26),(3,27),(3,29),(3,30),(3,31),(4,5),(4,6),(4,9),(4,11),(4,14),(4,17),(4,18),(4,21),(4,23),(4,24),(4,27),(4,28),(4,30),(4,31),(5,6),(5,8),(5,11),(5,13),(5,16),(5,18),(5,20),(5,22),(5,24),(5,26),(5,28),(5,29),(5,31),(6,7),(6,11),(6,12),(6,16),(6,17),(6,19),(6,22),(6,23),(6,25),(6,28),(6,29),(6,30),(7,8),(7,9),(7,10),(7,13),(7,14),(7,15),(7,18),(7,20),(7,21),(7,24),(7,26),(7,27),(7,31),(8,9),(8,10),(8,12),(8,14),(8,15),(8,17),(8,19),(8,21),(8,23),(8,25),(8,27),(8,30),(9,10),(9,12),(9,13),(9,15),(9,16),(9,19),(9,20),(9,22),(9,25),(9,26),(9,29),(10,12),(10,13),(10,14),(10,16),(10,17),(10,18),(10,22),(10,23),(10,24),(10,28),(11,12),(11,13),(11,14),(11,15),(11,16),(11,17),(11,18),(11,19),(11,20),(11,21),(12,13),(12,14),(12,15),(12,18),(12,20),(12,21),(12,22),(12,23),(12,24),(12,25),(12,26),(12,27),(12,28),(12,29),(12,30),(12,31),(13,14),(13,15),(13,17),(13,19),(13,21),(13,22),(13,23),(13,24),(13,25),(13,26),(13,27),(13,28),(13,29),(13,30),(13,31),(14,15),(14,16),(14,19),(14,20),(14,22),(14,23),(14,24),(14,25),(14,26),(14,27),(14,28),(14,29),(14,30),(14,31),(15,16),(15,17),(15,18),(15,22),(15,23),(15,24),(15,25),(15,26),(15,27),(15,28),(15,29),(15,30),(15,31),(16,17),(16,18),(16,19),(16,20),(16,21),(16,23),(16,24),(16,25),(16,26),(16,27),(16,28),(16,29),(16,30),(16,31),(17,18),(17,19),(17,20),(17,21),(17,22),(17,24),(17,25),(17,26),(17,27),(17,28),(17,29),(17,30),(17,31),(18,19),(18,20),(18,21),(18,22),(18,23),(18,25),(18,26),(18,27),(18,28),(18,29),(18,30),(18,31),(19,20),(19,21),(19,22),(19,23),(19,24),(19,26),(19,27),(19,28),(19,29),(19,30),(19,31),(20,21),(20,22),(20,23),(20,24),(20,25),(20,27),(20,28),(20,29),(20,30),(20,31),(21,22),(21,23),(21,24),(21,25),(21,26),(21,28),(21,29),(21,30),(21,31),(22,23),(22,24),(22,25),(22,26),(22,27),(22,30),(22,31),(23,24),(23,25),(23,26),(23,27),(23,29),(23,31),(24,25),(24,26),(24,27),(24,29),(24,30),(25,26),(25,27),(25,28),(25,31),(26,27),(26,28),(26,30),(27,28),(27,29),(28,29),(28,30),(28,31),(29,30),(29,31),(30,31)],32)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,9),(6,9),(7,10),(8,10),(9,7),(9,8)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(3,4)],5)
 => 0

Description

The minimal degree of a vertex of a graph.

Matching statistic: St000315

Mapping

Mp00197: Lattices —lattice of congruences⟶ Lattices
Mp00193: Lattices —to poset⟶ Posets
Mp00074: Posets —to graph⟶ Graphs
St000315: Graphs ⟶ ℤResult quality: 25% ●values known / values provided: 41%●distinct values known / distinct values provided: 25%

Values

([(0,1),(0,2),(0,3),(1,4),(2,4),(3,4)],5)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,5)],6)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,5),(3,5),(4,1)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(1,2)],3)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,5),(4,1),(4,2)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(1,2)],3)
 => 0
([(0,4),(1,5),(2,5),(3,5),(4,1),(4,2),(4,3)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,2),(0,3),(1,2),(1,3)],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(4,5)],6)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(1,2)],3)
 => 0
([(0,2),(0,3),(0,4),(2,5),(3,5),(4,5),(5,1)],6)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,2),(0,3),(1,2),(1,3)],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,2),(4,1)],6)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
 => ? = 1
([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6)],8)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => 0
([(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(1,2)],3)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(1,2)],3)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,6),(5,1),(5,2),(5,3),(5,4)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,2),(0,3),(1,2),(1,3)],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
 => 0
([(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(4,3),(5,6)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
 => 0
([(0,5),(1,6),(2,6),(3,6),(5,1),(5,2),(5,3),(6,4)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6)],8)
 => ? = 0
([(0,3),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1),(5,4)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(1,2),(2,3)],4)
 => 0
([(0,5),(1,6),(2,6),(3,6),(4,2),(4,3),(5,1),(5,4)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,4),(0,5),(1,2),(1,3),(2,6),(3,6),(4,6),(5,6)],7)
 => ? = 0
([(0,5),(1,6),(2,6),(3,2),(4,1),(5,3),(5,4)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,8),(2,9),(3,10),(3,11),(4,9),(4,13),(5,8),(5,13),(6,11),(6,13),(7,10),(7,13),(8,12),(9,12),(10,12),(11,12),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,1),(3,5),(4,2),(4,3),(5,6)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,12),(0,13),(0,14),(0,15),(1,5),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,11),(3,5),(3,6),(3,8),(3,10),(4,5),(4,6),(4,7),(4,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14)],16)
 => ? = 1
([(0,2),(0,3),(0,5),(1,6),(2,6),(3,6),(4,1),(5,4)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(1,2),(2,3)],4)
 => 0
([(0,4),(1,6),(2,6),(3,6),(4,5),(5,1),(5,2),(5,3)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6)],8)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(6,1)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(1,2),(2,3)],4)
 => 0
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,6),(6,1),(6,2)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,12),(0,13),(0,14),(0,15),(1,5),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,11),(3,5),(3,6),(3,8),(3,10),(4,5),(4,6),(4,7),(4,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14)],16)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,6),(4,5),(6,5)],7)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(1,2)],3)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,6),(4,6),(5,1),(6,5)],7)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6)],8)
 => ? = 0
([(0,2),(0,3),(0,4),(0,5),(2,6),(3,6),(4,6),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,2),(0,3),(1,2),(1,3)],4)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(1,2),(2,3)],4)
 => 0
([(0,1),(0,2),(0,3),(1,5),(2,4),(3,4),(3,5),(4,6),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(2,6),(3,5),(4,5),(5,6),(6,1)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
 => 0
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,1),(4,6),(6,5)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,2),(0,3),(1,2),(1,3)],4)
 => 0
([(0,3),(0,4),(0,5),(1,6),(3,6),(4,6),(5,1),(6,2)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(0,5),(1,6),(2,6),(3,6),(4,2),(5,1)],7)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,2),(0,3),(2,4),(3,4),(4,1)],5)
 => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 0
([(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => 0
([(0,2),(0,4),(1,6),(2,5),(3,1),(4,3),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,1),(0,9),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(4,8),(5,6),(5,8),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,3),(0,4),(2,6),(3,5),(4,2),(4,5),(5,6),(6,1)],7)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,12),(0,13),(0,14),(0,15),(1,5),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,11),(3,5),(3,6),(3,8),(3,10),(4,5),(4,6),(4,7),(4,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14)],16)
 => ? = 1
([(0,3),(0,4),(1,5),(2,5),(3,6),(4,2),(4,6),(6,1)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,1),(0,9),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(4,8),(5,6),(5,8),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(3,6),(4,3),(5,1),(5,2)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(1,2),(2,3)],4)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,5),(4,1),(4,2),(4,5),(5,6)],7)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,1),(0,2),(1,3),(2,3)],4)
 => ([(0,2),(0,3),(1,2),(1,3)],4)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,5),(4,1),(4,2),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,6),(5,1),(5,2),(6,3)],7)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,2),(0,3),(1,5),(2,4),(3,1),(3,4),(4,5)],6)
 => ([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 0
([(0,3),(0,4),(1,6),(2,5),(3,2),(4,1),(4,5),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,1),(0,9),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(4,8),(5,6),(5,8),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,2),(0,3),(0,4),(1,5),(2,6),(3,5),(4,1),(5,6)],7)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(2,1),(3,2)],4)
 => ([(0,3),(1,2),(2,3)],4)
 => 0
([(0,4),(0,5),(1,6),(2,6),(3,2),(4,3),(5,1)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(3,9),(4,7),(4,9),(5,7),(5,8),(7,10),(8,10),(9,10),(10,1),(10,2)],11)
 => ([(0,2),(0,10),(1,2),(1,10),(3,4),(3,5),(3,6),(4,8),(4,9),(5,7),(5,9),(6,7),(6,8),(7,10),(8,10),(9,10)],11)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,5),(4,3),(5,6)],7)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,1),(0,9),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(4,8),(5,6),(5,8),(6,9),(7,9),(8,9)],10)
 => ? = 1
([(0,4),(0,5),(1,6),(2,6),(4,2),(5,1),(6,3)],7)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,4),(0,5),(1,6),(1,8),(2,6),(2,7),(3,10),(3,11),(4,9),(4,11),(5,9),(5,10),(6,12),(7,12),(8,12),(9,13),(10,13),(11,1),(11,2),(11,13),(13,7),(13,8)],14)
 => ([(0,3),(0,6),(0,7),(1,2),(1,4),(1,5),(2,8),(2,9),(3,10),(3,11),(4,9),(4,13),(5,8),(5,13),(6,11),(6,13),(7,10),(7,13),(8,12),(9,12),(10,12),(11,12),(12,13)],14)
 => ? = 1
([(0,4),(1,6),(2,5),(3,5),(3,6),(4,1),(4,2),(4,3),(5,7),(6,7)],8)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,1),(0,9),(1,8),(2,3),(2,4),(2,5),(3,6),(3,7),(4,7),(4,8),(5,6),(5,8),(6,9),(7,9),(8,9)],10)
 => ? = 0
([(0,5),(1,7),(2,7),(3,6),(4,6),(5,1),(5,2),(7,3),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,6),(5,6),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,7),(2,7),(3,7),(4,7),(5,6),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(1,2)],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,6),(4,7),(5,7),(7,6)],8)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(1,2)],3)
 => 0
([(0,3),(0,4),(1,6),(2,6),(3,7),(4,7),(5,1),(5,2),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 1
([(0,1),(0,2),(0,3),(0,4),(1,6),(2,6),(3,5),(4,5),(5,7),(6,7)],8)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => ([(0,1)],2)
 => 0
([(0,4),(0,5),(1,6),(2,6),(4,7),(5,7),(6,3),(7,1),(7,2)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 1
([(0,2),(0,4),(1,6),(2,5),(3,1),(3,7),(4,3),(4,5),(5,7),(7,6)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,12),(0,13),(0,14),(0,15),(1,5),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,11),(3,5),(3,6),(3,8),(3,10),(4,5),(4,6),(4,7),(4,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14)],16)
 => ? = 2
([(0,3),(0,5),(1,7),(3,6),(4,2),(5,1),(5,6),(6,7),(7,4)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 1
([(0,3),(0,4),(1,6),(2,5),(3,7),(4,2),(4,7),(5,6),(7,1),(7,5)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,12),(0,13),(0,14),(0,15),(1,5),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,11),(3,5),(3,6),(3,8),(3,10),(4,5),(4,6),(4,7),(4,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14)],16)
 => ? = 2
([(0,5),(2,7),(3,6),(4,2),(4,6),(5,3),(5,4),(6,7),(7,1)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 1
([(0,5),(0,6),(1,7),(2,7),(3,2),(4,1),(5,3),(6,4)],8)
 => ([(0,3),(0,4),(0,5),(0,6),(1,7),(2,7),(3,11),(3,12),(3,13),(4,9),(4,10),(4,13),(5,8),(5,10),(5,12),(6,8),(6,9),(6,11),(8,14),(8,17),(9,14),(9,15),(10,14),(10,16),(11,15),(11,17),(12,16),(12,17),(13,15),(13,16),(14,18),(15,18),(16,18),(17,18),(18,1),(18,2)],19)
 => ?
 => ?
 => ? = 2
([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(1,5),(1,6),(2,4),(2,6),(3,4),(3,5),(4,7),(5,7),(6,7)],8)
 => ([(0,5),(0,6),(0,7),(1,2),(1,3),(1,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6)],8)
 => ? = -1
([(0,4),(1,7),(2,6),(3,1),(3,6),(4,5),(5,2),(5,3),(6,7)],8)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 1
([(0,4),(1,6),(1,7),(2,5),(2,7),(3,5),(3,6),(4,1),(4,2),(4,3),(5,8),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,12),(0,13),(0,14),(0,15),(1,5),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,11),(3,5),(3,6),(3,8),(3,10),(4,5),(4,6),(4,7),(4,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,7),(2,6),(3,5),(4,5),(4,6),(5,8),(6,8),(8,7)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(1,2)],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,5),(3,7),(4,6),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(1,5),(2,6),(3,6),(4,5),(4,7),(5,8),(6,7),(7,8)],9)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(1,2)],3)
 => 0
([(0,3),(0,4),(1,7),(2,6),(3,8),(4,8),(5,1),(5,6),(6,7),(8,2),(8,5)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 2
([(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,1),(5,7),(7,8),(8,2),(8,3)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 2
([(0,5),(1,6),(2,7),(3,4),(3,6),(4,2),(4,8),(5,1),(5,3),(6,8),(8,7)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 2
([(0,5),(1,7),(2,8),(3,6),(4,3),(4,8),(5,2),(5,4),(6,7),(8,1),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 2
([(0,3),(0,4),(1,7),(2,6),(3,2),(3,5),(4,1),(4,5),(5,6),(5,7),(6,8),(7,8)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,12),(0,13),(0,14),(0,15),(1,5),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,11),(3,5),(3,6),(3,8),(3,10),(4,5),(4,6),(4,7),(4,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14)],16)
 => ? = 1
([(0,3),(0,5),(2,8),(3,6),(4,2),(4,7),(5,4),(5,6),(6,7),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 2
([(0,4),(0,5),(1,6),(3,7),(4,8),(5,1),(5,8),(6,7),(7,2),(8,3),(8,6)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 2
([(0,2),(0,3),(0,4),(2,6),(2,7),(3,5),(3,7),(4,5),(4,6),(5,8),(6,8),(7,8),(8,1)],9)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,12),(0,13),(0,14),(0,15),(1,5),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,11),(3,5),(3,6),(3,8),(3,10),(4,5),(4,6),(4,7),(4,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14)],16)
 => ? = -1
([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,12),(0,13),(0,14),(0,15),(1,5),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,11),(3,5),(3,6),(3,8),(3,10),(4,5),(4,6),(4,7),(4,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,1),(4,8),(4,9),(5,11),(6,11),(7,10),(8,5),(8,10),(9,6),(9,10),(10,11)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,12),(0,13),(0,14),(0,15),(1,5),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,11),(3,5),(3,6),(3,8),(3,10),(4,5),(4,6),(4,7),(4,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14)],16)
 => ? = 0
([(0,3),(0,4),(1,6),(1,8),(2,6),(2,7),(3,5),(4,1),(4,2),(4,5),(5,7),(5,8),(6,9),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,12),(0,13),(0,14),(0,15),(1,5),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,11),(3,5),(3,6),(3,8),(3,10),(4,5),(4,6),(4,7),(4,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14)],16)
 => ? = 0
([(0,2),(0,3),(0,4),(1,7),(2,6),(2,8),(3,5),(3,8),(4,5),(4,6),(5,9),(6,9),(8,1),(8,9),(9,7)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(1,8),(1,9),(1,10),(2,6),(2,7),(2,10),(3,5),(3,7),(3,9),(4,5),(4,6),(4,8),(5,11),(5,14),(6,11),(6,12),(7,11),(7,13),(8,12),(8,14),(9,13),(9,14),(10,12),(10,13),(11,15),(12,15),(13,15),(14,15)],16)
 => ([(0,12),(0,13),(0,14),(0,15),(1,5),(1,9),(1,10),(1,11),(2,5),(2,7),(2,8),(2,11),(3,5),(3,6),(3,8),(3,10),(4,5),(4,6),(4,7),(4,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14)],16)
 => ? = 0
([(0,1),(0,2),(1,12),(2,3),(2,4),(2,5),(2,12),(3,8),(3,10),(3,11),(4,7),(4,9),(4,11),(5,6),(5,9),(5,10),(6,13),(6,14),(7,13),(7,15),(8,14),(8,15),(9,13),(9,16),(10,14),(10,16),(11,15),(11,16),(12,6),(12,7),(12,8),(13,17),(14,17),(15,17),(16,17)],18)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 0
([(0,1),(1,2),(1,3),(1,4),(1,5),(2,9),(2,10),(2,11),(3,7),(3,8),(3,11),(4,6),(4,8),(4,10),(5,6),(5,7),(5,9),(6,12),(6,15),(7,12),(7,13),(8,12),(8,14),(9,13),(9,15),(10,14),(10,15),(11,13),(11,14),(12,16),(13,16),(14,16),(15,16)],17)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 0
([(0,5),(1,9),(1,10),(2,6),(2,8),(3,6),(3,7),(4,1),(4,7),(4,8),(5,2),(5,3),(5,4),(6,12),(7,9),(7,12),(8,10),(8,12),(9,11),(10,11),(12,11)],13)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(2,9),(3,6),(3,9),(4,6),(4,7),(5,2),(5,3),(5,4),(6,10),(7,10),(9,1),(9,10),(10,8)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 0
([(0,5),(2,7),(2,8),(3,6),(3,8),(4,6),(4,7),(5,2),(5,3),(5,4),(6,9),(7,9),(8,9),(9,1)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = -1
([(0,1),(0,2),(1,11),(2,3),(2,4),(2,11),(3,8),(3,10),(4,5),(4,9),(4,10),(5,6),(5,7),(6,13),(7,13),(8,12),(9,7),(9,12),(10,6),(10,12),(11,8),(11,9),(12,13)],14)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 0
([(0,5),(1,6),(2,7),(2,9),(3,7),(3,8),(4,2),(4,3),(4,6),(5,1),(5,4),(6,8),(6,9),(7,10),(8,10),(9,10)],11)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 0
([(0,4),(0,5),(1,9),(1,10),(2,8),(2,10),(3,7),(4,6),(5,1),(5,2),(5,6),(6,8),(6,9),(8,11),(9,11),(10,3),(10,11),(11,7)],12)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 0
([(0,5),(1,8),(2,7),(3,2),(3,6),(4,1),(4,6),(5,3),(5,4),(6,7),(6,8),(7,9),(8,9)],10)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 1
([(0,3),(0,4),(0,5),(1,6),(1,7),(2,1),(2,9),(2,10),(3,8),(3,12),(4,8),(4,11),(5,2),(5,11),(5,12),(6,14),(7,14),(8,13),(9,6),(9,15),(10,7),(10,15),(11,9),(11,13),(12,10),(12,13),(13,15),(15,14)],16)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(1,13),(1,14),(1,15),(2,9),(2,10),(2,11),(2,15),(3,7),(3,8),(3,11),(3,14),(4,6),(4,8),(4,10),(4,13),(5,6),(5,7),(5,9),(5,12),(6,16),(6,19),(6,22),(7,16),(7,17),(7,20),(8,16),(8,18),(8,21),(9,17),(9,19),(9,23),(10,18),(10,19),(10,24),(11,17),(11,18),(11,25),(12,20),(12,22),(12,23),(13,21),(13,22),(13,24),(14,20),(14,21),(14,25),(15,23),(15,24),(15,25),(16,29),(16,30),(17,26),(17,30),(18,27),(18,30),(19,28),(19,30),(20,26),(20,29),(21,27),(21,29),(22,28),(22,29),(23,26),(23,28),(24,27),(24,28),(25,26),(25,27),(26,31),(27,31),(28,31),(29,31),(30,31)],32)
 => ([(0,27),(0,28),(0,29),(0,30),(0,31),(1,6),(1,13),(1,14),(1,15),(1,16),(2,6),(2,10),(2,11),(2,12),(2,16),(3,6),(3,8),(3,9),(3,12),(3,15),(4,6),(4,7),(4,9),(4,11),(4,14),(5,6),(5,7),(5,8),(5,10),(5,13),(7,17),(7,20),(7,23),(8,17),(8,18),(8,21),(9,17),(9,19),(9,22),(10,18),(10,20),(10,24),(11,19),(11,20),(11,25),(12,18),(12,19),(12,26),(13,21),(13,23),(13,24),(14,22),(14,23),(14,25),(15,21),(15,22),(15,26),(16,24),(16,25),(16,26),(17,30),(17,31),(18,27),(18,31),(19,28),(19,31),(20,29),(20,31),(21,27),(21,30),(22,28),(22,30),(23,29),(23,30),(24,27),(24,29),(25,28),(25,29),(26,27),(26,28)],32)
 => ? = 0
([(0,1),(0,2),(0,3),(0,4),(1,9),(2,8),(3,8),(3,10),(4,9),(4,10),(6,5),(7,5),(8,6),(9,7),(10,6),(10,7)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,12),(2,11),(3,11),(3,14),(4,12),(4,15),(5,14),(5,15),(7,9),(8,10),(9,6),(10,6),(11,7),(12,8),(13,9),(13,10),(14,7),(14,13),(15,8),(15,13)],16)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,11),(2,11),(3,10),(4,9),(4,12),(5,10),(5,12),(7,6),(8,6),(9,7),(10,8),(11,9),(12,7),(12,8)],13)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(1,2)],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,12),(3,12),(4,9),(5,10),(5,11),(7,6),(8,6),(9,8),(10,7),(11,7),(11,8),(12,9),(12,11)],13)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,7),(4,7),(5,6),(5,9),(6,10),(7,8),(8,9),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(1,2)],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,10),(2,9),(3,11),(4,9),(4,10),(5,8),(5,11),(7,8),(8,6),(9,7),(10,7),(11,6)],12)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(1,2)],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,8),(2,6),(3,6),(4,7),(5,7),(6,9),(7,8),(7,9),(8,10),(9,10)],11)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(2,1)],3)
 => ([(0,2),(1,2)],3)
 => 0
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,6),(2,6),(3,8),(4,7),(5,9),(6,9),(7,10),(8,10),(9,7),(9,8)],11)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,3),(1,4),(2,4),(3,1),(3,2)],5)
 => ([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 0

Description

The number of isolated vertices of a graph.

The following 42 statistics, ordered by result quality, also match your data. Click on any of them to see the details.

St000322The skewness of a graph. St000449The number of pairs of vertices of a graph with distance 4. St001572The minimal number of edges to remove to make a graph bipartite. St001573The minimal number of edges to remove to make a graph triangle-free. St001578The minimal number of edges to add or remove to make a graph a line graph. St001690The length of a longest path in a graph such that after removing the paths edges, every vertex of the path has distance two from some other vertex of the path. St001871The number of triconnected components of a graph. St000286The number of connected components of the complement of a graph. St000287The number of connected components of a graph. St001518The number of graphs with the same ordinary spectrum as the given graph. St000181The number of connected components of the Hasse diagram for the poset. St001890The maximum magnitude of the Möbius function of a poset. St001625The Möbius invariant of a lattice. St001677The number of non-degenerate subsets of a lattice whose meet is the bottom element. St001845The number of join irreducibles minus the rank of a lattice. St001613The binary logarithm of the size of the center of a lattice. St001621The number of atoms of a lattice. St001681The number of inclusion-wise minimal subsets of a lattice, whose meet is the bottom element. St001719The number of shortest chains of small intervals from the bottom to the top in a lattice. St001878The projective dimension of the simple modules corresponding to the minimum of L in the incidence algebra of the lattice L. St001881The number of factors of a lattice as a Cartesian product of lattices. St000383The last part of an integer composition. St000657The smallest part of an integer composition. St000264The girth of a graph, which is not a tree. St000741The Colin de Verdière graph invariant. St001626The number of maximal proper sublattices of a lattice. St001095The number of non-isomorphic posets with precisely one further covering relation. St001301The first Betti number of the order complex associated with the poset. St001396Number of triples of incomparable elements in a finite poset. St001964The interval resolution global dimension of a poset. St000908The length of the shortest maximal antichain in a poset. St000914The sum of the values of the Möbius function of a poset. St001532The leading coefficient of the Poincare polynomial of the poset cone. St001533The largest coefficient of the Poincare polynomial of the poset cone. St001634The trace of the Coxeter matrix of the incidence algebra of a poset. St001942The number of loops of the quiver corresponding to the reduced incidence algebra of a poset. St000907The number of maximal antichains of minimal length in a poset. St001877Number of indecomposable injective modules with projective dimension 2. St001630The global dimension of the incidence algebra of the lattice over the rational numbers. St001875The number of simple modules with projective dimension at most 1. St001879The number of indecomposable summands of the top of the first syzygy of the dual of the regular module in the incidence algebra of the lattice. St001880The number of 2-Gorenstein indecomposable injective modules in the incidence algebra of the lattice.