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Your data matches 2 different statistics following compositions of up to 3 maps.
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Matching statistic: St000032
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(load all 3 compositions to match this statistic)
Mp00199: Dyck paths —prime Dyck path⟶ Dyck paths
St000032: Dyck paths ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
St000032: Dyck paths ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
[1,0]
=> [1,1,0,0]
=> 2
[1,0,1,0]
=> [1,1,0,1,0,0]
=> 3
[1,1,0,0]
=> [1,1,1,0,0,0]
=> 5
[1,0,1,0,1,0]
=> [1,1,0,1,0,1,0,0]
=> 4
[1,0,1,1,0,0]
=> [1,1,0,1,1,0,0,0]
=> 7
[1,1,0,0,1,0]
=> [1,1,1,0,0,1,0,0]
=> 7
[1,1,0,1,0,0]
=> [1,1,1,0,1,0,0,0]
=> 9
[1,1,1,0,0,0]
=> [1,1,1,1,0,0,0,0]
=> 14
[1,0,1,0,1,0,1,0]
=> [1,1,0,1,0,1,0,1,0,0]
=> 5
[1,0,1,0,1,1,0,0]
=> [1,1,0,1,0,1,1,0,0,0]
=> 9
[1,0,1,1,0,0,1,0]
=> [1,1,0,1,1,0,0,1,0,0]
=> 9
[1,0,1,1,0,1,0,0]
=> [1,1,0,1,1,0,1,0,0,0]
=> 12
[1,0,1,1,1,0,0,0]
=> [1,1,0,1,1,1,0,0,0,0]
=> 19
[1,1,0,0,1,0,1,0]
=> [1,1,1,0,0,1,0,1,0,0]
=> 9
[1,1,0,0,1,1,0,0]
=> [1,1,1,0,0,1,1,0,0,0]
=> 16
[1,1,0,1,0,0,1,0]
=> [1,1,1,0,1,0,0,1,0,0]
=> 12
[1,1,0,1,0,1,0,0]
=> [1,1,1,0,1,0,1,0,0,0]
=> 14
[1,1,0,1,1,0,0,0]
=> [1,1,1,0,1,1,0,0,0,0]
=> 23
[1,1,1,0,0,0,1,0]
=> [1,1,1,1,0,0,0,1,0,0]
=> 19
[1,1,1,0,0,1,0,0]
=> [1,1,1,1,0,0,1,0,0,0]
=> 23
[1,1,1,0,1,0,0,0]
=> [1,1,1,1,0,1,0,0,0,0]
=> 28
[1,1,1,1,0,0,0,0]
=> [1,1,1,1,1,0,0,0,0,0]
=> 42
[1,0,1,0,1,0,1,0,1,0]
=> [1,1,0,1,0,1,0,1,0,1,0,0]
=> 6
[1,0,1,0,1,0,1,1,0,0]
=> [1,1,0,1,0,1,0,1,1,0,0,0]
=> 11
[1,0,1,0,1,1,0,0,1,0]
=> [1,1,0,1,0,1,1,0,0,1,0,0]
=> 11
[1,0,1,0,1,1,0,1,0,0]
=> [1,1,0,1,0,1,1,0,1,0,0,0]
=> 15
[1,0,1,0,1,1,1,0,0,0]
=> [1,1,0,1,0,1,1,1,0,0,0,0]
=> 24
[1,0,1,1,0,0,1,0,1,0]
=> [1,1,0,1,1,0,0,1,0,1,0,0]
=> 11
[1,0,1,1,0,0,1,1,0,0]
=> [1,1,0,1,1,0,0,1,1,0,0,0]
=> 20
[1,0,1,1,0,1,0,0,1,0]
=> [1,1,0,1,1,0,1,0,0,1,0,0]
=> 15
[1,0,1,1,0,1,0,1,0,0]
=> [1,1,0,1,1,0,1,0,1,0,0,0]
=> 18
[1,0,1,1,0,1,1,0,0,0]
=> [1,1,0,1,1,0,1,1,0,0,0,0]
=> 30
[1,0,1,1,1,0,0,0,1,0]
=> [1,1,0,1,1,1,0,0,0,1,0,0]
=> 24
[1,0,1,1,1,0,0,1,0,0]
=> [1,1,0,1,1,1,0,0,1,0,0,0]
=> 30
[1,0,1,1,1,0,1,0,0,0]
=> [1,1,0,1,1,1,0,1,0,0,0,0]
=> 37
[1,0,1,1,1,1,0,0,0,0]
=> [1,1,0,1,1,1,1,0,0,0,0,0]
=> 56
[1,1,0,0,1,0,1,0,1,0]
=> [1,1,1,0,0,1,0,1,0,1,0,0]
=> 11
[1,1,0,0,1,0,1,1,0,0]
=> [1,1,1,0,0,1,0,1,1,0,0,0]
=> 20
[1,1,0,0,1,1,0,0,1,0]
=> [1,1,1,0,0,1,1,0,0,1,0,0]
=> 20
[1,1,0,0,1,1,0,1,0,0]
=> [1,1,1,0,0,1,1,0,1,0,0,0]
=> 27
[1,1,0,0,1,1,1,0,0,0]
=> [1,1,1,0,0,1,1,1,0,0,0,0]
=> 43
[1,1,0,1,0,0,1,0,1,0]
=> [1,1,1,0,1,0,0,1,0,1,0,0]
=> 15
[1,1,0,1,0,0,1,1,0,0]
=> [1,1,1,0,1,0,0,1,1,0,0,0]
=> 27
[1,1,0,1,0,1,0,0,1,0]
=> [1,1,1,0,1,0,1,0,0,1,0,0]
=> 18
[1,1,0,1,0,1,0,1,0,0]
=> [1,1,1,0,1,0,1,0,1,0,0,0]
=> 20
[1,1,0,1,0,1,1,0,0,0]
=> [1,1,1,0,1,0,1,1,0,0,0,0]
=> 34
[1,1,0,1,1,0,0,0,1,0]
=> [1,1,1,0,1,1,0,0,0,1,0,0]
=> 30
[1,1,0,1,1,0,0,1,0,0]
=> [1,1,1,0,1,1,0,0,1,0,0,0]
=> 34
[1,1,0,1,1,0,1,0,0,0]
=> [1,1,1,0,1,1,0,1,0,0,0,0]
=> 43
[1,1,0,1,1,1,0,0,0,0]
=> [1,1,1,0,1,1,1,0,0,0,0,0]
=> 66
Description
The number of elements smaller than the given Dyck path in the Tamari Order.
Matching statistic: St000082
Mp00199: Dyck paths —prime Dyck path⟶ Dyck paths
Mp00029: Dyck paths —to binary tree: left tree, up step, right tree, down step⟶ Binary trees
St000082: Binary trees ⟶ ℤResult quality: 33% ●values known / values provided: 33%●distinct values known / distinct values provided: 43%
Mp00029: Dyck paths —to binary tree: left tree, up step, right tree, down step⟶ Binary trees
St000082: Binary trees ⟶ ℤResult quality: 33% ●values known / values provided: 33%●distinct values known / distinct values provided: 43%
Values
[1,0]
=> [1,1,0,0]
=> [.,[.,.]]
=> 2
[1,0,1,0]
=> [1,1,0,1,0,0]
=> [.,[[.,.],.]]
=> 3
[1,1,0,0]
=> [1,1,1,0,0,0]
=> [.,[.,[.,.]]]
=> 5
[1,0,1,0,1,0]
=> [1,1,0,1,0,1,0,0]
=> [.,[[[.,.],.],.]]
=> 4
[1,0,1,1,0,0]
=> [1,1,0,1,1,0,0,0]
=> [.,[[.,.],[.,.]]]
=> 7
[1,1,0,0,1,0]
=> [1,1,1,0,0,1,0,0]
=> [.,[[.,[.,.]],.]]
=> 7
[1,1,0,1,0,0]
=> [1,1,1,0,1,0,0,0]
=> [.,[.,[[.,.],.]]]
=> 9
[1,1,1,0,0,0]
=> [1,1,1,1,0,0,0,0]
=> [.,[.,[.,[.,.]]]]
=> 14
[1,0,1,0,1,0,1,0]
=> [1,1,0,1,0,1,0,1,0,0]
=> [.,[[[[.,.],.],.],.]]
=> 5
[1,0,1,0,1,1,0,0]
=> [1,1,0,1,0,1,1,0,0,0]
=> [.,[[[.,.],.],[.,.]]]
=> 9
[1,0,1,1,0,0,1,0]
=> [1,1,0,1,1,0,0,1,0,0]
=> [.,[[[.,.],[.,.]],.]]
=> 9
[1,0,1,1,0,1,0,0]
=> [1,1,0,1,1,0,1,0,0,0]
=> [.,[[.,.],[[.,.],.]]]
=> 12
[1,0,1,1,1,0,0,0]
=> [1,1,0,1,1,1,0,0,0,0]
=> [.,[[.,.],[.,[.,.]]]]
=> 19
[1,1,0,0,1,0,1,0]
=> [1,1,1,0,0,1,0,1,0,0]
=> [.,[[[.,[.,.]],.],.]]
=> 9
[1,1,0,0,1,1,0,0]
=> [1,1,1,0,0,1,1,0,0,0]
=> [.,[[.,[.,.]],[.,.]]]
=> 16
[1,1,0,1,0,0,1,0]
=> [1,1,1,0,1,0,0,1,0,0]
=> [.,[[.,[[.,.],.]],.]]
=> 12
[1,1,0,1,0,1,0,0]
=> [1,1,1,0,1,0,1,0,0,0]
=> [.,[.,[[[.,.],.],.]]]
=> 14
[1,1,0,1,1,0,0,0]
=> [1,1,1,0,1,1,0,0,0,0]
=> [.,[.,[[.,.],[.,.]]]]
=> 23
[1,1,1,0,0,0,1,0]
=> [1,1,1,1,0,0,0,1,0,0]
=> [.,[[.,[.,[.,.]]],.]]
=> 19
[1,1,1,0,0,1,0,0]
=> [1,1,1,1,0,0,1,0,0,0]
=> [.,[.,[[.,[.,.]],.]]]
=> 23
[1,1,1,0,1,0,0,0]
=> [1,1,1,1,0,1,0,0,0,0]
=> [.,[.,[.,[[.,.],.]]]]
=> 28
[1,1,1,1,0,0,0,0]
=> [1,1,1,1,1,0,0,0,0,0]
=> [.,[.,[.,[.,[.,.]]]]]
=> 42
[1,0,1,0,1,0,1,0,1,0]
=> [1,1,0,1,0,1,0,1,0,1,0,0]
=> [.,[[[[[.,.],.],.],.],.]]
=> 6
[1,0,1,0,1,0,1,1,0,0]
=> [1,1,0,1,0,1,0,1,1,0,0,0]
=> [.,[[[[.,.],.],.],[.,.]]]
=> 11
[1,0,1,0,1,1,0,0,1,0]
=> [1,1,0,1,0,1,1,0,0,1,0,0]
=> [.,[[[[.,.],.],[.,.]],.]]
=> 11
[1,0,1,0,1,1,0,1,0,0]
=> [1,1,0,1,0,1,1,0,1,0,0,0]
=> [.,[[[.,.],.],[[.,.],.]]]
=> 15
[1,0,1,0,1,1,1,0,0,0]
=> [1,1,0,1,0,1,1,1,0,0,0,0]
=> [.,[[[.,.],.],[.,[.,.]]]]
=> 24
[1,0,1,1,0,0,1,0,1,0]
=> [1,1,0,1,1,0,0,1,0,1,0,0]
=> [.,[[[[.,.],[.,.]],.],.]]
=> 11
[1,0,1,1,0,0,1,1,0,0]
=> [1,1,0,1,1,0,0,1,1,0,0,0]
=> [.,[[[.,.],[.,.]],[.,.]]]
=> 20
[1,0,1,1,0,1,0,0,1,0]
=> [1,1,0,1,1,0,1,0,0,1,0,0]
=> [.,[[[.,.],[[.,.],.]],.]]
=> 15
[1,0,1,1,0,1,0,1,0,0]
=> [1,1,0,1,1,0,1,0,1,0,0,0]
=> [.,[[.,.],[[[.,.],.],.]]]
=> 18
[1,0,1,1,0,1,1,0,0,0]
=> [1,1,0,1,1,0,1,1,0,0,0,0]
=> [.,[[.,.],[[.,.],[.,.]]]]
=> 30
[1,0,1,1,1,0,0,0,1,0]
=> [1,1,0,1,1,1,0,0,0,1,0,0]
=> [.,[[[.,.],[.,[.,.]]],.]]
=> 24
[1,0,1,1,1,0,0,1,0,0]
=> [1,1,0,1,1,1,0,0,1,0,0,0]
=> [.,[[.,.],[[.,[.,.]],.]]]
=> 30
[1,0,1,1,1,0,1,0,0,0]
=> [1,1,0,1,1,1,0,1,0,0,0,0]
=> [.,[[.,.],[.,[[.,.],.]]]]
=> 37
[1,0,1,1,1,1,0,0,0,0]
=> [1,1,0,1,1,1,1,0,0,0,0,0]
=> [.,[[.,.],[.,[.,[.,.]]]]]
=> 56
[1,1,0,0,1,0,1,0,1,0]
=> [1,1,1,0,0,1,0,1,0,1,0,0]
=> [.,[[[[.,[.,.]],.],.],.]]
=> 11
[1,1,0,0,1,0,1,1,0,0]
=> [1,1,1,0,0,1,0,1,1,0,0,0]
=> [.,[[[.,[.,.]],.],[.,.]]]
=> 20
[1,1,0,0,1,1,0,0,1,0]
=> [1,1,1,0,0,1,1,0,0,1,0,0]
=> [.,[[[.,[.,.]],[.,.]],.]]
=> 20
[1,1,0,0,1,1,0,1,0,0]
=> [1,1,1,0,0,1,1,0,1,0,0,0]
=> [.,[[.,[.,.]],[[.,.],.]]]
=> 27
[1,1,0,0,1,1,1,0,0,0]
=> [1,1,1,0,0,1,1,1,0,0,0,0]
=> [.,[[.,[.,.]],[.,[.,.]]]]
=> 43
[1,1,0,1,0,0,1,0,1,0]
=> [1,1,1,0,1,0,0,1,0,1,0,0]
=> [.,[[[.,[[.,.],.]],.],.]]
=> 15
[1,1,0,1,0,0,1,1,0,0]
=> [1,1,1,0,1,0,0,1,1,0,0,0]
=> [.,[[.,[[.,.],.]],[.,.]]]
=> 27
[1,1,0,1,0,1,0,0,1,0]
=> [1,1,1,0,1,0,1,0,0,1,0,0]
=> [.,[[.,[[[.,.],.],.]],.]]
=> 18
[1,1,0,1,0,1,0,1,0,0]
=> [1,1,1,0,1,0,1,0,1,0,0,0]
=> [.,[.,[[[[.,.],.],.],.]]]
=> 20
[1,1,0,1,0,1,1,0,0,0]
=> [1,1,1,0,1,0,1,1,0,0,0,0]
=> [.,[.,[[[.,.],.],[.,.]]]]
=> 34
[1,1,0,1,1,0,0,0,1,0]
=> [1,1,1,0,1,1,0,0,0,1,0,0]
=> [.,[[.,[[.,.],[.,.]]],.]]
=> 30
[1,1,0,1,1,0,0,1,0,0]
=> [1,1,1,0,1,1,0,0,1,0,0,0]
=> [.,[.,[[[.,.],[.,.]],.]]]
=> 34
[1,1,0,1,1,0,1,0,0,0]
=> [1,1,1,0,1,1,0,1,0,0,0,0]
=> [.,[.,[[.,.],[[.,.],.]]]]
=> 43
[1,1,0,1,1,1,0,0,0,0]
=> [1,1,1,0,1,1,1,0,0,0,0,0]
=> [.,[.,[[.,.],[.,[.,.]]]]]
=> 66
[1,0,1,0,1,0,1,0,1,0,1,0]
=> [1,1,0,1,0,1,0,1,0,1,0,1,0,0]
=> [.,[[[[[[.,.],.],.],.],.],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,0,1,0,1,0,1,1,0,0]
=> [1,1,0,1,0,1,0,1,0,1,1,0,0,0]
=> [.,[[[[[.,.],.],.],.],[.,.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,0,1,0,1,1,0,0,1,0]
=> [1,1,0,1,0,1,0,1,1,0,0,1,0,0]
=> [.,[[[[[.,.],.],.],[.,.]],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,0,1,0,1,1,0,1,0,0]
=> [1,1,0,1,0,1,0,1,1,0,1,0,0,0]
=> [.,[[[[.,.],.],.],[[.,.],.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,0,1,0,1,1,1,0,0,0]
=> [1,1,0,1,0,1,0,1,1,1,0,0,0,0]
=> [.,[[[[.,.],.],.],[.,[.,.]]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,0,1,1,0,0,1,0,1,0]
=> [1,1,0,1,0,1,1,0,0,1,0,1,0,0]
=> [.,[[[[[.,.],.],[.,.]],.],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,0,1,1,0,0,1,1,0,0]
=> [1,1,0,1,0,1,1,0,0,1,1,0,0,0]
=> [.,[[[[.,.],.],[.,.]],[.,.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,0,1,1,0,1,0,0,1,0]
=> [1,1,0,1,0,1,1,0,1,0,0,1,0,0]
=> [.,[[[[.,.],.],[[.,.],.]],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,0,1,1,0,1,0,1,0,0]
=> [1,1,0,1,0,1,1,0,1,0,1,0,0,0]
=> [.,[[[.,.],.],[[[.,.],.],.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,0,1,1,0,1,1,0,0,0]
=> [1,1,0,1,0,1,1,0,1,1,0,0,0,0]
=> [.,[[[.,.],.],[[.,.],[.,.]]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,0,1,1,1,0,0,0,1,0]
=> [1,1,0,1,0,1,1,1,0,0,0,1,0,0]
=> [.,[[[[.,.],.],[.,[.,.]]],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,0,1,1,1,0,0,1,0,0]
=> [1,1,0,1,0,1,1,1,0,0,1,0,0,0]
=> [.,[[[.,.],.],[[.,[.,.]],.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,0,1,1,1,0,1,0,0,0]
=> [1,1,0,1,0,1,1,1,0,1,0,0,0,0]
=> [.,[[[.,.],.],[.,[[.,.],.]]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,0,1,1,1,1,0,0,0,0]
=> [1,1,0,1,0,1,1,1,1,0,0,0,0,0]
=> [.,[[[.,.],.],[.,[.,[.,.]]]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,0,0,1,0,1,0,1,0]
=> [1,1,0,1,1,0,0,1,0,1,0,1,0,0]
=> [.,[[[[[.,.],[.,.]],.],.],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,0,0,1,0,1,1,0,0]
=> [1,1,0,1,1,0,0,1,0,1,1,0,0,0]
=> [.,[[[[.,.],[.,.]],.],[.,.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,0,0,1,1,0,0,1,0]
=> [1,1,0,1,1,0,0,1,1,0,0,1,0,0]
=> [.,[[[[.,.],[.,.]],[.,.]],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,0,0,1,1,0,1,0,0]
=> [1,1,0,1,1,0,0,1,1,0,1,0,0,0]
=> [.,[[[.,.],[.,.]],[[.,.],.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,0,0,1,1,1,0,0,0]
=> [1,1,0,1,1,0,0,1,1,1,0,0,0,0]
=> [.,[[[.,.],[.,.]],[.,[.,.]]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,0,1,0,0,1,0,1,0]
=> [1,1,0,1,1,0,1,0,0,1,0,1,0,0]
=> [.,[[[[.,.],[[.,.],.]],.],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,0,1,0,0,1,1,0,0]
=> [1,1,0,1,1,0,1,0,0,1,1,0,0,0]
=> [.,[[[.,.],[[.,.],.]],[.,.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,0,1,0,1,0,0,1,0]
=> [1,1,0,1,1,0,1,0,1,0,0,1,0,0]
=> [.,[[[.,.],[[[.,.],.],.]],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,0,1,0,1,0,1,0,0]
=> [1,1,0,1,1,0,1,0,1,0,1,0,0,0]
=> [.,[[.,.],[[[[.,.],.],.],.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,0,1,0,1,1,0,0,0]
=> [1,1,0,1,1,0,1,0,1,1,0,0,0,0]
=> [.,[[.,.],[[[.,.],.],[.,.]]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,0,1,1,0,0,0,1,0]
=> [1,1,0,1,1,0,1,1,0,0,0,1,0,0]
=> [.,[[[.,.],[[.,.],[.,.]]],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,0,1,1,0,0,1,0,0]
=> [1,1,0,1,1,0,1,1,0,0,1,0,0,0]
=> [.,[[.,.],[[[.,.],[.,.]],.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,0,1,1,0,1,0,0,0]
=> [1,1,0,1,1,0,1,1,0,1,0,0,0,0]
=> [.,[[.,.],[[.,.],[[.,.],.]]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,0,1,1,1,0,0,0,0]
=> [1,1,0,1,1,0,1,1,1,0,0,0,0,0]
=> [.,[[.,.],[[.,.],[.,[.,.]]]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,1,0,0,0,1,0,1,0]
=> [1,1,0,1,1,1,0,0,0,1,0,1,0,0]
=> [.,[[[[.,.],[.,[.,.]]],.],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,1,0,0,0,1,1,0,0]
=> [1,1,0,1,1,1,0,0,0,1,1,0,0,0]
=> [.,[[[.,.],[.,[.,.]]],[.,.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,1,0,0,1,0,0,1,0]
=> [1,1,0,1,1,1,0,0,1,0,0,1,0,0]
=> [.,[[[.,.],[[.,[.,.]],.]],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,1,0,0,1,0,1,0,0]
=> [1,1,0,1,1,1,0,0,1,0,1,0,0,0]
=> [.,[[.,.],[[[.,[.,.]],.],.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,1,0,0,1,1,0,0,0]
=> [1,1,0,1,1,1,0,0,1,1,0,0,0,0]
=> [.,[[.,.],[[.,[.,.]],[.,.]]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,1,0,1,0,0,0,1,0]
=> [1,1,0,1,1,1,0,1,0,0,0,1,0,0]
=> [.,[[[.,.],[.,[[.,.],.]]],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,1,0,1,0,0,1,0,0]
=> [1,1,0,1,1,1,0,1,0,0,1,0,0,0]
=> [.,[[.,.],[[.,[[.,.],.]],.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,1,0,1,0,1,0,0,0]
=> [1,1,0,1,1,1,0,1,0,1,0,0,0,0]
=> [.,[[.,.],[.,[[[.,.],.],.]]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,1,0,1,1,0,0,0,0]
=> [1,1,0,1,1,1,0,1,1,0,0,0,0,0]
=> [.,[[.,.],[.,[[.,.],[.,.]]]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,1,1,0,0,0,0,1,0]
=> [1,1,0,1,1,1,1,0,0,0,0,1,0,0]
=> [.,[[[.,.],[.,[.,[.,.]]]],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,1,1,0,0,0,1,0,0]
=> [1,1,0,1,1,1,1,0,0,0,1,0,0,0]
=> [.,[[.,.],[[.,[.,[.,.]]],.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,1,1,0,0,1,0,0,0]
=> [1,1,0,1,1,1,1,0,0,1,0,0,0,0]
=> [.,[[.,.],[.,[[.,[.,.]],.]]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,1,1,0,1,0,0,0,0]
=> [1,1,0,1,1,1,1,0,1,0,0,0,0,0]
=> [.,[[.,.],[.,[.,[[.,.],.]]]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,0,1,1,1,1,1,0,0,0,0,0]
=> [1,1,0,1,1,1,1,1,0,0,0,0,0,0]
=> [.,[[.,.],[.,[.,[.,[.,.]]]]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,1,0,0,1,0,1,0,1,0,1,0]
=> [1,1,1,0,0,1,0,1,0,1,0,1,0,0]
=> [.,[[[[[.,[.,.]],.],.],.],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,1,0,0,1,0,1,0,1,1,0,0]
=> [1,1,1,0,0,1,0,1,0,1,1,0,0,0]
=> [.,[[[[.,[.,.]],.],.],[.,.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,1,0,0,1,0,1,1,0,0,1,0]
=> [1,1,1,0,0,1,0,1,1,0,0,1,0,0]
=> [.,[[[[.,[.,.]],.],[.,.]],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,1,0,0,1,0,1,1,0,1,0,0]
=> [1,1,1,0,0,1,0,1,1,0,1,0,0,0]
=> [.,[[[.,[.,.]],.],[[.,.],.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,1,0,0,1,0,1,1,1,0,0,0]
=> [1,1,1,0,0,1,0,1,1,1,0,0,0,0]
=> [.,[[[.,[.,.]],.],[.,[.,.]]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,1,0,0,1,1,0,0,1,0,1,0]
=> [1,1,1,0,0,1,1,0,0,1,0,1,0,0]
=> [.,[[[[.,[.,.]],[.,.]],.],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,1,0,0,1,1,0,0,1,1,0,0]
=> [1,1,1,0,0,1,1,0,0,1,1,0,0,0]
=> [.,[[[.,[.,.]],[.,.]],[.,.]]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
[1,1,0,0,1,1,0,1,0,0,1,0]
=> [1,1,1,0,0,1,1,0,1,0,0,1,0,0]
=> [.,[[[.,[.,.]],[[.,.],.]],.]]
=> ? ∊ {7,13,13,13,13,13,18,18,18,18,22,22,22,24,24,24,24,24,24,25,25,27,29,29,29,29,33,33,33,33,33,33,37,37,37,37,37,37,40,40,43,43,43,43,43,43,44,45,46,46,46,47,47,47,47,53,53,53,53,53,53,55,55,55,55,61,61,61,62,62,67,67,67,67,70,70,70,70,70,72,72,73,73,75,81,81,81,83,83,85,85,85,85,95,95,95,99,99,99,99,104,104,113,113,113,113,115,118,118,123,123,123,126,126,136,136,151,151,161,161,165,174,174,199,202,202,227,227,255,255,297,429}
Description
The number of elements smaller than a binary tree in Tamari order.
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