Identifier
- St000198: Binary trees ⟶ ℤ
Values
=>
Cc0010;cc-rep
.=>0
[.,.]=>2
[.,[.,.]]=>10
[[.,.],.]=>12
[.,[.,[.,.]]]=>42
[.,[[.,.],.]]=>44
[[.,.],[.,.]]=>50
[[.,[.,.]],.]=>52
[[[.,.],.],.]=>56
[.,[.,[.,[.,.]]]]=>170
[.,[.,[[.,.],.]]]=>172
[.,[[.,.],[.,.]]]=>178
[.,[[.,[.,.]],.]]=>180
[.,[[[.,.],.],.]]=>184
[[.,.],[.,[.,.]]]=>202
[[.,.],[[.,.],.]]=>204
[[.,[.,.]],[.,.]]=>210
[[[.,.],.],[.,.]]=>226
[[.,[.,[.,.]]],.]=>212
[[.,[[.,.],.]],.]=>216
[[[.,.],[.,.]],.]=>228
[[[.,[.,.]],.],.]=>232
[[[[.,.],.],.],.]=>240
[.,[.,[.,[.,[.,.]]]]]=>682
[.,[.,[.,[[.,.],.]]]]=>684
[.,[.,[[.,.],[.,.]]]]=>690
[.,[.,[[.,[.,.]],.]]]=>692
[.,[.,[[[.,.],.],.]]]=>696
[.,[[.,.],[.,[.,.]]]]=>714
[.,[[.,.],[[.,.],.]]]=>716
[.,[[.,[.,.]],[.,.]]]=>722
[.,[[[.,.],.],[.,.]]]=>738
[.,[[.,[.,[.,.]]],.]]=>724
[.,[[.,[[.,.],.]],.]]=>728
[.,[[[.,.],[.,.]],.]]=>740
[.,[[[.,[.,.]],.],.]]=>744
[.,[[[[.,.],.],.],.]]=>752
[[.,.],[.,[.,[.,.]]]]=>810
[[.,.],[.,[[.,.],.]]]=>812
[[.,.],[[.,.],[.,.]]]=>818
[[.,.],[[.,[.,.]],.]]=>820
[[.,.],[[[.,.],.],.]]=>824
[[.,[.,.]],[.,[.,.]]]=>842
[[.,[.,.]],[[.,.],.]]=>844
[[[.,.],.],[.,[.,.]]]=>906
[[[.,.],.],[[.,.],.]]=>908
[[.,[.,[.,.]]],[.,.]]=>850
[[.,[[.,.],.]],[.,.]]=>866
[[[.,.],[.,.]],[.,.]]=>914
[[[.,[.,.]],.],[.,.]]=>930
[[[[.,.],.],.],[.,.]]=>962
[[.,[.,[.,[.,.]]]],.]=>852
[[.,[.,[[.,.],.]]],.]=>856
[[.,[[.,.],[.,.]]],.]=>868
[[.,[[.,[.,.]],.]],.]=>872
[[.,[[[.,.],.],.]],.]=>880
[[[.,.],[.,[.,.]]],.]=>916
[[[.,.],[[.,.],.]],.]=>920
[[[.,[.,.]],[.,.]],.]=>932
[[[[.,.],.],[.,.]],.]=>964
[[[.,[.,[.,.]]],.],.]=>936
[[[.,[[.,.],.]],.],.]=>944
[[[[.,.],[.,.]],.],.]=>968
[[[[.,[.,.]],.],.],.]=>976
[[[[[.,.],.],.],.],.]=>992
[.,[.,[.,[.,[.,[.,.]]]]]]=>2730
[.,[.,[.,[.,[[.,.],.]]]]]=>2732
[.,[.,[.,[[.,.],[.,.]]]]]=>2738
[.,[.,[.,[[.,[.,.]],.]]]]=>2740
[.,[.,[.,[[[.,.],.],.]]]]=>2744
[.,[.,[[.,.],[.,[.,.]]]]]=>2762
[.,[.,[[.,.],[[.,.],.]]]]=>2764
[.,[.,[[.,[.,.]],[.,.]]]]=>2770
[.,[.,[[[.,.],.],[.,.]]]]=>2786
[.,[.,[[.,[.,[.,.]]],.]]]=>2772
[.,[.,[[.,[[.,.],.]],.]]]=>2776
[.,[.,[[[.,.],[.,.]],.]]]=>2788
[.,[.,[[[.,[.,.]],.],.]]]=>2792
[.,[.,[[[[.,.],.],.],.]]]=>2800
[.,[[.,.],[.,[.,[.,.]]]]]=>2858
[.,[[.,.],[.,[[.,.],.]]]]=>2860
[.,[[.,.],[[.,.],[.,.]]]]=>2866
[.,[[.,.],[[.,[.,.]],.]]]=>2868
[.,[[.,.],[[[.,.],.],.]]]=>2872
[.,[[.,[.,.]],[.,[.,.]]]]=>2890
[.,[[.,[.,.]],[[.,.],.]]]=>2892
[.,[[[.,.],.],[.,[.,.]]]]=>2954
[.,[[[.,.],.],[[.,.],.]]]=>2956
[.,[[.,[.,[.,.]]],[.,.]]]=>2898
[.,[[.,[[.,.],.]],[.,.]]]=>2914
[.,[[[.,.],[.,.]],[.,.]]]=>2962
[.,[[[.,[.,.]],.],[.,.]]]=>2978
[.,[[[[.,.],.],.],[.,.]]]=>3010
[.,[[.,[.,[.,[.,.]]]],.]]=>2900
[.,[[.,[.,[[.,.],.]]],.]]=>2904
[.,[[.,[[.,.],[.,.]]],.]]=>2916
[.,[[.,[[.,[.,.]],.]],.]]=>2920
[.,[[.,[[[.,.],.],.]],.]]=>2928
[.,[[[.,.],[.,[.,.]]],.]]=>2964
[.,[[[.,.],[[.,.],.]],.]]=>2968
[.,[[[.,[.,.]],[.,.]],.]]=>2980
[.,[[[[.,.],.],[.,.]],.]]=>3012
[.,[[[.,[.,[.,.]]],.],.]]=>2984
[.,[[[.,[[.,.],.]],.],.]]=>2992
[.,[[[[.,.],[.,.]],.],.]]=>3016
[.,[[[[.,[.,.]],.],.],.]]=>3024
[.,[[[[[.,.],.],.],.],.]]=>3040
[[.,.],[.,[.,[.,[.,.]]]]]=>3242
[[.,.],[.,[.,[[.,.],.]]]]=>3244
[[.,.],[.,[[.,.],[.,.]]]]=>3250
[[.,.],[.,[[.,[.,.]],.]]]=>3252
[[.,.],[.,[[[.,.],.],.]]]=>3256
[[.,.],[[.,.],[.,[.,.]]]]=>3274
[[.,.],[[.,.],[[.,.],.]]]=>3276
[[.,.],[[.,[.,.]],[.,.]]]=>3282
[[.,.],[[[.,.],.],[.,.]]]=>3298
[[.,.],[[.,[.,[.,.]]],.]]=>3284
[[.,.],[[.,[[.,.],.]],.]]=>3288
[[.,.],[[[.,.],[.,.]],.]]=>3300
[[.,.],[[[.,[.,.]],.],.]]=>3304
[[.,.],[[[[.,.],.],.],.]]=>3312
[[.,[.,.]],[.,[.,[.,.]]]]=>3370
[[.,[.,.]],[.,[[.,.],.]]]=>3372
[[.,[.,.]],[[.,.],[.,.]]]=>3378
[[.,[.,.]],[[.,[.,.]],.]]=>3380
[[.,[.,.]],[[[.,.],.],.]]=>3384
[[[.,.],.],[.,[.,[.,.]]]]=>3626
[[[.,.],.],[.,[[.,.],.]]]=>3628
[[[.,.],.],[[.,.],[.,.]]]=>3634
[[[.,.],.],[[.,[.,.]],.]]=>3636
[[[.,.],.],[[[.,.],.],.]]=>3640
[[.,[.,[.,.]]],[.,[.,.]]]=>3402
[[.,[.,[.,.]]],[[.,.],.]]=>3404
[[.,[[.,.],.]],[.,[.,.]]]=>3466
[[.,[[.,.],.]],[[.,.],.]]=>3468
[[[.,.],[.,.]],[.,[.,.]]]=>3658
[[[.,.],[.,.]],[[.,.],.]]=>3660
[[[.,[.,.]],.],[.,[.,.]]]=>3722
[[[.,[.,.]],.],[[.,.],.]]=>3724
[[[[.,.],.],.],[.,[.,.]]]=>3850
[[[[.,.],.],.],[[.,.],.]]=>3852
[[.,[.,[.,[.,.]]]],[.,.]]=>3410
[[.,[.,[[.,.],.]]],[.,.]]=>3426
[[.,[[.,.],[.,.]]],[.,.]]=>3474
[[.,[[.,[.,.]],.]],[.,.]]=>3490
[[.,[[[.,.],.],.]],[.,.]]=>3522
[[[.,.],[.,[.,.]]],[.,.]]=>3666
[[[.,.],[[.,.],.]],[.,.]]=>3682
[[[.,[.,.]],[.,.]],[.,.]]=>3730
[[[[.,.],.],[.,.]],[.,.]]=>3858
[[[.,[.,[.,.]]],.],[.,.]]=>3746
[[[.,[[.,.],.]],.],[.,.]]=>3778
[[[[.,.],[.,.]],.],[.,.]]=>3874
[[[[.,[.,.]],.],.],[.,.]]=>3906
[[[[[.,.],.],.],.],[.,.]]=>3970
[[.,[.,[.,[.,[.,.]]]]],.]=>3412
[[.,[.,[.,[[.,.],.]]]],.]=>3416
[[.,[.,[[.,.],[.,.]]]],.]=>3428
[[.,[.,[[.,[.,.]],.]]],.]=>3432
[[.,[.,[[[.,.],.],.]]],.]=>3440
[[.,[[.,.],[.,[.,.]]]],.]=>3476
[[.,[[.,.],[[.,.],.]]],.]=>3480
[[.,[[.,[.,.]],[.,.]]],.]=>3492
[[.,[[[.,.],.],[.,.]]],.]=>3524
[[.,[[.,[.,[.,.]]],.]],.]=>3496
[[.,[[.,[[.,.],.]],.]],.]=>3504
[[.,[[[.,.],[.,.]],.]],.]=>3528
[[.,[[[.,[.,.]],.],.]],.]=>3536
[[.,[[[[.,.],.],.],.]],.]=>3552
[[[.,.],[.,[.,[.,.]]]],.]=>3668
[[[.,.],[.,[[.,.],.]]],.]=>3672
[[[.,.],[[.,.],[.,.]]],.]=>3684
[[[.,.],[[.,[.,.]],.]],.]=>3688
[[[.,.],[[[.,.],.],.]],.]=>3696
[[[.,[.,.]],[.,[.,.]]],.]=>3732
[[[.,[.,.]],[[.,.],.]],.]=>3736
[[[[.,.],.],[.,[.,.]]],.]=>3860
[[[[.,.],.],[[.,.],.]],.]=>3864
[[[.,[.,[.,.]]],[.,.]],.]=>3748
[[[.,[[.,.],.]],[.,.]],.]=>3780
[[[[.,.],[.,.]],[.,.]],.]=>3876
[[[[.,[.,.]],.],[.,.]],.]=>3908
[[[[[.,.],.],.],[.,.]],.]=>3972
[[[.,[.,[.,[.,.]]]],.],.]=>3752
[[[.,[.,[[.,.],.]]],.],.]=>3760
[[[.,[[.,.],[.,.]]],.],.]=>3784
[[[.,[[.,[.,.]],.]],.],.]=>3792
[[[.,[[[.,.],.],.]],.],.]=>3808
[[[[.,.],[.,[.,.]]],.],.]=>3880
[[[[.,.],[[.,.],.]],.],.]=>3888
[[[[.,[.,.]],[.,.]],.],.]=>3912
[[[[[.,.],.],[.,.]],.],.]=>3976
[[[[.,[.,[.,.]]],.],.],.]=>3920
[[[[.,[[.,.],.]],.],.],.]=>3936
[[[[[.,.],[.,.]],.],.],.]=>3984
[[[[[.,[.,.]],.],.],.],.]=>4000
[[[[[[.,.],.],.],.],.],.]=>4032
[.,[.,[.,[.,[.,[.,[.,.]]]]]]]=>10922
[.,[.,[.,[.,[.,[[.,.],.]]]]]]=>10924
[.,[.,[.,[.,[[.,.],[.,.]]]]]]=>10930
[.,[.,[.,[.,[[.,[.,.]],.]]]]]=>10932
[.,[.,[.,[.,[[[.,.],.],.]]]]]=>10936
[.,[.,[.,[[.,.],[.,[.,.]]]]]]=>10954
[.,[.,[.,[[.,.],[[.,.],.]]]]]=>10956
[.,[.,[.,[[.,[.,.]],[.,.]]]]]=>10962
[.,[.,[.,[[[.,.],.],[.,.]]]]]=>10978
[.,[.,[.,[[.,[.,[.,.]]],.]]]]=>10964
[.,[.,[.,[[.,[[.,.],.]],.]]]]=>10968
[.,[.,[.,[[[.,.],[.,.]],.]]]]=>10980
[.,[.,[.,[[[.,[.,.]],.],.]]]]=>10984
[.,[.,[.,[[[[.,.],.],.],.]]]]=>10992
[.,[.,[[.,.],[.,[.,[.,.]]]]]]=>11050
[.,[.,[[.,.],[.,[[.,.],.]]]]]=>11052
[.,[.,[[.,.],[[.,.],[.,.]]]]]=>11058
[.,[.,[[.,.],[[.,[.,.]],.]]]]=>11060
[.,[.,[[.,.],[[[.,.],.],.]]]]=>11064
[.,[.,[[.,[.,.]],[.,[.,.]]]]]=>11082
[.,[.,[[.,[.,.]],[[.,.],.]]]]=>11084
[.,[.,[[[.,.],.],[.,[.,.]]]]]=>11146
[.,[.,[[[.,.],.],[[.,.],.]]]]=>11148
[.,[.,[[.,[.,[.,.]]],[.,.]]]]=>11090
[.,[.,[[.,[[.,.],.]],[.,.]]]]=>11106
[.,[.,[[[.,.],[.,.]],[.,.]]]]=>11154
[.,[.,[[[.,[.,.]],.],[.,.]]]]=>11170
[.,[.,[[[[.,.],.],.],[.,.]]]]=>11202
[.,[.,[[.,[.,[.,[.,.]]]],.]]]=>11092
[.,[.,[[.,[.,[[.,.],.]]],.]]]=>11096
[.,[.,[[.,[[.,.],[.,.]]],.]]]=>11108
[.,[.,[[.,[[.,[.,.]],.]],.]]]=>11112
[.,[.,[[.,[[[.,.],.],.]],.]]]=>11120
[.,[.,[[[.,.],[.,[.,.]]],.]]]=>11156
[.,[.,[[[.,.],[[.,.],.]],.]]]=>11160
[.,[.,[[[.,[.,.]],[.,.]],.]]]=>11172
[.,[.,[[[[.,.],.],[.,.]],.]]]=>11204
[.,[.,[[[.,[.,[.,.]]],.],.]]]=>11176
[.,[.,[[[.,[[.,.],.]],.],.]]]=>11184
[.,[.,[[[[.,.],[.,.]],.],.]]]=>11208
[.,[.,[[[[.,[.,.]],.],.],.]]]=>11216
[.,[.,[[[[[.,.],.],.],.],.]]]=>11232
[.,[[.,.],[.,[.,[.,[.,.]]]]]]=>11434
[.,[[.,.],[.,[.,[[.,.],.]]]]]=>11436
[.,[[.,.],[.,[[.,.],[.,.]]]]]=>11442
[.,[[.,.],[.,[[.,[.,.]],.]]]]=>11444
[.,[[.,.],[.,[[[.,.],.],.]]]]=>11448
[.,[[.,.],[[.,.],[.,[.,.]]]]]=>11466
[.,[[.,.],[[.,.],[[.,.],.]]]]=>11468
[.,[[.,.],[[.,[.,.]],[.,.]]]]=>11474
[.,[[.,.],[[[.,.],.],[.,.]]]]=>11490
[.,[[.,.],[[.,[.,[.,.]]],.]]]=>11476
[.,[[.,.],[[.,[[.,.],.]],.]]]=>11480
[.,[[.,.],[[[.,.],[.,.]],.]]]=>11492
[.,[[.,.],[[[.,[.,.]],.],.]]]=>11496
[.,[[.,.],[[[[.,.],.],.],.]]]=>11504
[.,[[.,[.,.]],[.,[.,[.,.]]]]]=>11562
[.,[[.,[.,.]],[.,[[.,.],.]]]]=>11564
[.,[[.,[.,.]],[[.,.],[.,.]]]]=>11570
[.,[[.,[.,.]],[[.,[.,.]],.]]]=>11572
[.,[[.,[.,.]],[[[.,.],.],.]]]=>11576
[.,[[[.,.],.],[.,[.,[.,.]]]]]=>11818
[.,[[[.,.],.],[.,[[.,.],.]]]]=>11820
[.,[[[.,.],.],[[.,.],[.,.]]]]=>11826
[.,[[[.,.],.],[[.,[.,.]],.]]]=>11828
[.,[[[.,.],.],[[[.,.],.],.]]]=>11832
[.,[[.,[.,[.,.]]],[.,[.,.]]]]=>11594
[.,[[.,[.,[.,.]]],[[.,.],.]]]=>11596
[.,[[.,[[.,.],.]],[.,[.,.]]]]=>11658
[.,[[.,[[.,.],.]],[[.,.],.]]]=>11660
[.,[[[.,.],[.,.]],[.,[.,.]]]]=>11850
[.,[[[.,.],[.,.]],[[.,.],.]]]=>11852
[.,[[[.,[.,.]],.],[.,[.,.]]]]=>11914
[.,[[[.,[.,.]],.],[[.,.],.]]]=>11916
[.,[[[[.,.],.],.],[.,[.,.]]]]=>12042
[.,[[[[.,.],.],.],[[.,.],.]]]=>12044
[.,[[.,[.,[.,[.,.]]]],[.,.]]]=>11602
[.,[[.,[.,[[.,.],.]]],[.,.]]]=>11618
[.,[[.,[[.,.],[.,.]]],[.,.]]]=>11666
[.,[[.,[[.,[.,.]],.]],[.,.]]]=>11682
[.,[[.,[[[.,.],.],.]],[.,.]]]=>11714
[.,[[[.,.],[.,[.,.]]],[.,.]]]=>11858
[.,[[[.,.],[[.,.],.]],[.,.]]]=>11874
[.,[[[.,[.,.]],[.,.]],[.,.]]]=>11922
[.,[[[[.,.],.],[.,.]],[.,.]]]=>12050
[.,[[[.,[.,[.,.]]],.],[.,.]]]=>11938
[.,[[[.,[[.,.],.]],.],[.,.]]]=>11970
[.,[[[[.,.],[.,.]],.],[.,.]]]=>12066
[.,[[[[.,[.,.]],.],.],[.,.]]]=>12098
[.,[[[[[.,.],.],.],.],[.,.]]]=>12162
[.,[[.,[.,[.,[.,[.,.]]]]],.]]=>11604
[.,[[.,[.,[.,[[.,.],.]]]],.]]=>11608
[.,[[.,[.,[[.,.],[.,.]]]],.]]=>11620
[.,[[.,[.,[[.,[.,.]],.]]],.]]=>11624
[.,[[.,[.,[[[.,.],.],.]]],.]]=>11632
[.,[[.,[[.,.],[.,[.,.]]]],.]]=>11668
[.,[[.,[[.,.],[[.,.],.]]],.]]=>11672
[.,[[.,[[.,[.,.]],[.,.]]],.]]=>11684
[.,[[.,[[[.,.],.],[.,.]]],.]]=>11716
[.,[[.,[[.,[.,[.,.]]],.]],.]]=>11688
[.,[[.,[[.,[[.,.],.]],.]],.]]=>11696
[.,[[.,[[[.,.],[.,.]],.]],.]]=>11720
[.,[[.,[[[.,[.,.]],.],.]],.]]=>11728
[.,[[.,[[[[.,.],.],.],.]],.]]=>11744
[.,[[[.,.],[.,[.,[.,.]]]],.]]=>11860
[.,[[[.,.],[.,[[.,.],.]]],.]]=>11864
[.,[[[.,.],[[.,.],[.,.]]],.]]=>11876
[.,[[[.,.],[[.,[.,.]],.]],.]]=>11880
[.,[[[.,.],[[[.,.],.],.]],.]]=>11888
[.,[[[.,[.,.]],[.,[.,.]]],.]]=>11924
[.,[[[.,[.,.]],[[.,.],.]],.]]=>11928
[.,[[[[.,.],.],[.,[.,.]]],.]]=>12052
[.,[[[[.,.],.],[[.,.],.]],.]]=>12056
[.,[[[.,[.,[.,.]]],[.,.]],.]]=>11940
[.,[[[.,[[.,.],.]],[.,.]],.]]=>11972
[.,[[[[.,.],[.,.]],[.,.]],.]]=>12068
[.,[[[[.,[.,.]],.],[.,.]],.]]=>12100
[.,[[[[[.,.],.],.],[.,.]],.]]=>12164
[.,[[[.,[.,[.,[.,.]]]],.],.]]=>11944
[.,[[[.,[.,[[.,.],.]]],.],.]]=>11952
[.,[[[.,[[.,.],[.,.]]],.],.]]=>11976
[.,[[[.,[[.,[.,.]],.]],.],.]]=>11984
[.,[[[.,[[[.,.],.],.]],.],.]]=>12000
[.,[[[[.,.],[.,[.,.]]],.],.]]=>12072
[.,[[[[.,.],[[.,.],.]],.],.]]=>12080
[.,[[[[.,[.,.]],[.,.]],.],.]]=>12104
[.,[[[[[.,.],.],[.,.]],.],.]]=>12168
[.,[[[[.,[.,[.,.]]],.],.],.]]=>12112
[.,[[[[.,[[.,.],.]],.],.],.]]=>12128
[.,[[[[[.,.],[.,.]],.],.],.]]=>12176
[.,[[[[[.,[.,.]],.],.],.],.]]=>12192
[.,[[[[[[.,.],.],.],.],.],.]]=>12224
[[.,.],[.,[.,[.,[.,[.,.]]]]]]=>12970
[[.,.],[.,[.,[.,[[.,.],.]]]]]=>12972
[[.,.],[.,[.,[[.,.],[.,.]]]]]=>12978
[[.,.],[.,[.,[[.,[.,.]],.]]]]=>12980
[[.,.],[.,[.,[[[.,.],.],.]]]]=>12984
[[.,.],[.,[[.,.],[.,[.,.]]]]]=>13002
[[.,.],[.,[[.,.],[[.,.],.]]]]=>13004
[[.,.],[.,[[.,[.,.]],[.,.]]]]=>13010
[[.,.],[.,[[[.,.],.],[.,.]]]]=>13026
[[.,.],[.,[[.,[.,[.,.]]],.]]]=>13012
[[.,.],[.,[[.,[[.,.],.]],.]]]=>13016
[[.,.],[.,[[[.,.],[.,.]],.]]]=>13028
[[.,.],[.,[[[.,[.,.]],.],.]]]=>13032
[[.,.],[.,[[[[.,.],.],.],.]]]=>13040
[[.,.],[[.,.],[.,[.,[.,.]]]]]=>13098
[[.,.],[[.,.],[.,[[.,.],.]]]]=>13100
[[.,.],[[.,.],[[.,.],[.,.]]]]=>13106
[[.,.],[[.,.],[[.,[.,.]],.]]]=>13108
[[.,.],[[.,.],[[[.,.],.],.]]]=>13112
[[.,.],[[.,[.,.]],[.,[.,.]]]]=>13130
[[.,.],[[.,[.,.]],[[.,.],.]]]=>13132
[[.,.],[[[.,.],.],[.,[.,.]]]]=>13194
[[.,.],[[[.,.],.],[[.,.],.]]]=>13196
[[.,.],[[.,[.,[.,.]]],[.,.]]]=>13138
[[.,.],[[.,[[.,.],.]],[.,.]]]=>13154
[[.,.],[[[.,.],[.,.]],[.,.]]]=>13202
[[.,.],[[[.,[.,.]],.],[.,.]]]=>13218
[[.,.],[[[[.,.],.],.],[.,.]]]=>13250
[[.,.],[[.,[.,[.,[.,.]]]],.]]=>13140
[[.,.],[[.,[.,[[.,.],.]]],.]]=>13144
[[.,.],[[.,[[.,.],[.,.]]],.]]=>13156
[[.,.],[[.,[[.,[.,.]],.]],.]]=>13160
[[.,.],[[.,[[[.,.],.],.]],.]]=>13168
[[.,.],[[[.,.],[.,[.,.]]],.]]=>13204
[[.,.],[[[.,.],[[.,.],.]],.]]=>13208
[[.,.],[[[.,[.,.]],[.,.]],.]]=>13220
[[.,.],[[[[.,.],.],[.,.]],.]]=>13252
[[.,.],[[[.,[.,[.,.]]],.],.]]=>13224
[[.,.],[[[.,[[.,.],.]],.],.]]=>13232
[[.,.],[[[[.,.],[.,.]],.],.]]=>13256
[[.,.],[[[[.,[.,.]],.],.],.]]=>13264
[[.,.],[[[[[.,.],.],.],.],.]]=>13280
[[.,[.,.]],[.,[.,[.,[.,.]]]]]=>13482
[[.,[.,.]],[.,[.,[[.,.],.]]]]=>13484
[[.,[.,.]],[.,[[.,.],[.,.]]]]=>13490
[[.,[.,.]],[.,[[.,[.,.]],.]]]=>13492
[[.,[.,.]],[.,[[[.,.],.],.]]]=>13496
[[.,[.,.]],[[.,.],[.,[.,.]]]]=>13514
[[.,[.,.]],[[.,.],[[.,.],.]]]=>13516
[[.,[.,.]],[[.,[.,.]],[.,.]]]=>13522
[[.,[.,.]],[[[.,.],.],[.,.]]]=>13538
[[.,[.,.]],[[.,[.,[.,.]]],.]]=>13524
[[.,[.,.]],[[.,[[.,.],.]],.]]=>13528
[[.,[.,.]],[[[.,.],[.,.]],.]]=>13540
[[.,[.,.]],[[[.,[.,.]],.],.]]=>13544
[[.,[.,.]],[[[[.,.],.],.],.]]=>13552
[[[.,.],.],[.,[.,[.,[.,.]]]]]=>14506
[[[.,.],.],[.,[.,[[.,.],.]]]]=>14508
[[[.,.],.],[.,[[.,.],[.,.]]]]=>14514
[[[.,.],.],[.,[[.,[.,.]],.]]]=>14516
[[[.,.],.],[.,[[[.,.],.],.]]]=>14520
[[[.,.],.],[[.,.],[.,[.,.]]]]=>14538
[[[.,.],.],[[.,.],[[.,.],.]]]=>14540
[[[.,.],.],[[.,[.,.]],[.,.]]]=>14546
[[[.,.],.],[[[.,.],.],[.,.]]]=>14562
[[[.,.],.],[[.,[.,[.,.]]],.]]=>14548
[[[.,.],.],[[.,[[.,.],.]],.]]=>14552
[[[.,.],.],[[[.,.],[.,.]],.]]=>14564
[[[.,.],.],[[[.,[.,.]],.],.]]=>14568
[[[.,.],.],[[[[.,.],.],.],.]]=>14576
[[.,[.,[.,.]]],[.,[.,[.,.]]]]=>13610
[[.,[.,[.,.]]],[.,[[.,.],.]]]=>13612
[[.,[.,[.,.]]],[[.,.],[.,.]]]=>13618
[[.,[.,[.,.]]],[[.,[.,.]],.]]=>13620
[[.,[.,[.,.]]],[[[.,.],.],.]]=>13624
[[.,[[.,.],.]],[.,[.,[.,.]]]]=>13866
[[.,[[.,.],.]],[.,[[.,.],.]]]=>13868
[[.,[[.,.],.]],[[.,.],[.,.]]]=>13874
[[.,[[.,.],.]],[[.,[.,.]],.]]=>13876
[[.,[[.,.],.]],[[[.,.],.],.]]=>13880
[[[.,.],[.,.]],[.,[.,[.,.]]]]=>14634
[[[.,.],[.,.]],[.,[[.,.],.]]]=>14636
[[[.,.],[.,.]],[[.,.],[.,.]]]=>14642
[[[.,.],[.,.]],[[.,[.,.]],.]]=>14644
[[[.,.],[.,.]],[[[.,.],.],.]]=>14648
[[[.,[.,.]],.],[.,[.,[.,.]]]]=>14890
[[[.,[.,.]],.],[.,[[.,.],.]]]=>14892
[[[.,[.,.]],.],[[.,.],[.,.]]]=>14898
[[[.,[.,.]],.],[[.,[.,.]],.]]=>14900
[[[.,[.,.]],.],[[[.,.],.],.]]=>14904
[[[[.,.],.],.],[.,[.,[.,.]]]]=>15402
[[[[.,.],.],.],[.,[[.,.],.]]]=>15404
[[[[.,.],.],.],[[.,.],[.,.]]]=>15410
[[[[.,.],.],.],[[.,[.,.]],.]]=>15412
[[[[.,.],.],.],[[[.,.],.],.]]=>15416
[[.,[.,[.,[.,.]]]],[.,[.,.]]]=>13642
[[.,[.,[.,[.,.]]]],[[.,.],.]]=>13644
[[.,[.,[[.,.],.]]],[.,[.,.]]]=>13706
[[.,[.,[[.,.],.]]],[[.,.],.]]=>13708
[[.,[[.,.],[.,.]]],[.,[.,.]]]=>13898
[[.,[[.,.],[.,.]]],[[.,.],.]]=>13900
[[.,[[.,[.,.]],.]],[.,[.,.]]]=>13962
[[.,[[.,[.,.]],.]],[[.,.],.]]=>13964
[[.,[[[.,.],.],.]],[.,[.,.]]]=>14090
[[.,[[[.,.],.],.]],[[.,.],.]]=>14092
[[[.,.],[.,[.,.]]],[.,[.,.]]]=>14666
[[[.,.],[.,[.,.]]],[[.,.],.]]=>14668
[[[.,.],[[.,.],.]],[.,[.,.]]]=>14730
[[[.,.],[[.,.],.]],[[.,.],.]]=>14732
[[[.,[.,.]],[.,.]],[.,[.,.]]]=>14922
[[[.,[.,.]],[.,.]],[[.,.],.]]=>14924
[[[[.,.],.],[.,.]],[.,[.,.]]]=>15434
[[[[.,.],.],[.,.]],[[.,.],.]]=>15436
[[[.,[.,[.,.]]],.],[.,[.,.]]]=>14986
[[[.,[.,[.,.]]],.],[[.,.],.]]=>14988
[[[.,[[.,.],.]],.],[.,[.,.]]]=>15114
[[[.,[[.,.],.]],.],[[.,.],.]]=>15116
[[[[.,.],[.,.]],.],[.,[.,.]]]=>15498
[[[[.,.],[.,.]],.],[[.,.],.]]=>15500
[[[[.,[.,.]],.],.],[.,[.,.]]]=>15626
[[[[.,[.,.]],.],.],[[.,.],.]]=>15628
[[[[[.,.],.],.],.],[.,[.,.]]]=>15882
[[[[[.,.],.],.],.],[[.,.],.]]=>15884
[[.,[.,[.,[.,[.,.]]]]],[.,.]]=>13650
[[.,[.,[.,[[.,.],.]]]],[.,.]]=>13666
[[.,[.,[[.,.],[.,.]]]],[.,.]]=>13714
[[.,[.,[[.,[.,.]],.]]],[.,.]]=>13730
[[.,[.,[[[.,.],.],.]]],[.,.]]=>13762
[[.,[[.,.],[.,[.,.]]]],[.,.]]=>13906
[[.,[[.,.],[[.,.],.]]],[.,.]]=>13922
[[.,[[.,[.,.]],[.,.]]],[.,.]]=>13970
[[.,[[[.,.],.],[.,.]]],[.,.]]=>14098
[[.,[[.,[.,[.,.]]],.]],[.,.]]=>13986
[[.,[[.,[[.,.],.]],.]],[.,.]]=>14018
[[.,[[[.,.],[.,.]],.]],[.,.]]=>14114
[[.,[[[.,[.,.]],.],.]],[.,.]]=>14146
[[.,[[[[.,.],.],.],.]],[.,.]]=>14210
[[[.,.],[.,[.,[.,.]]]],[.,.]]=>14674
[[[.,.],[.,[[.,.],.]]],[.,.]]=>14690
[[[.,.],[[.,.],[.,.]]],[.,.]]=>14738
[[[.,.],[[.,[.,.]],.]],[.,.]]=>14754
[[[.,.],[[[.,.],.],.]],[.,.]]=>14786
[[[.,[.,.]],[.,[.,.]]],[.,.]]=>14930
[[[.,[.,.]],[[.,.],.]],[.,.]]=>14946
[[[[.,.],.],[.,[.,.]]],[.,.]]=>15442
[[[[.,.],.],[[.,.],.]],[.,.]]=>15458
[[[.,[.,[.,.]]],[.,.]],[.,.]]=>14994
[[[.,[[.,.],.]],[.,.]],[.,.]]=>15122
[[[[.,.],[.,.]],[.,.]],[.,.]]=>15506
[[[[.,[.,.]],.],[.,.]],[.,.]]=>15634
[[[[[.,.],.],.],[.,.]],[.,.]]=>15890
[[[.,[.,[.,[.,.]]]],.],[.,.]]=>15010
[[[.,[.,[[.,.],.]]],.],[.,.]]=>15042
[[[.,[[.,.],[.,.]]],.],[.,.]]=>15138
[[[.,[[.,[.,.]],.]],.],[.,.]]=>15170
[[[.,[[[.,.],.],.]],.],[.,.]]=>15234
[[[[.,.],[.,[.,.]]],.],[.,.]]=>15522
[[[[.,.],[[.,.],.]],.],[.,.]]=>15554
[[[[.,[.,.]],[.,.]],.],[.,.]]=>15650
[[[[[.,.],.],[.,.]],.],[.,.]]=>15906
[[[[.,[.,[.,.]]],.],.],[.,.]]=>15682
[[[[.,[[.,.],.]],.],.],[.,.]]=>15746
[[[[[.,.],[.,.]],.],.],[.,.]]=>15938
[[[[[.,[.,.]],.],.],.],[.,.]]=>16002
[[[[[[.,.],.],.],.],.],[.,.]]=>16130
[[.,[.,[.,[.,[.,[.,.]]]]]],.]=>13652
[[.,[.,[.,[.,[[.,.],.]]]]],.]=>13656
[[.,[.,[.,[[.,.],[.,.]]]]],.]=>13668
[[.,[.,[.,[[.,[.,.]],.]]]],.]=>13672
[[.,[.,[.,[[[.,.],.],.]]]],.]=>13680
[[.,[.,[[.,.],[.,[.,.]]]]],.]=>13716
[[.,[.,[[.,.],[[.,.],.]]]],.]=>13720
[[.,[.,[[.,[.,.]],[.,.]]]],.]=>13732
[[.,[.,[[[.,.],.],[.,.]]]],.]=>13764
[[.,[.,[[.,[.,[.,.]]],.]]],.]=>13736
[[.,[.,[[.,[[.,.],.]],.]]],.]=>13744
[[.,[.,[[[.,.],[.,.]],.]]],.]=>13768
[[.,[.,[[[.,[.,.]],.],.]]],.]=>13776
[[.,[.,[[[[.,.],.],.],.]]],.]=>13792
[[.,[[.,.],[.,[.,[.,.]]]]],.]=>13908
[[.,[[.,.],[.,[[.,.],.]]]],.]=>13912
[[.,[[.,.],[[.,.],[.,.]]]],.]=>13924
[[.,[[.,.],[[.,[.,.]],.]]],.]=>13928
[[.,[[.,.],[[[.,.],.],.]]],.]=>13936
[[.,[[.,[.,.]],[.,[.,.]]]],.]=>13972
[[.,[[.,[.,.]],[[.,.],.]]],.]=>13976
[[.,[[[.,.],.],[.,[.,.]]]],.]=>14100
[[.,[[[.,.],.],[[.,.],.]]],.]=>14104
[[.,[[.,[.,[.,.]]],[.,.]]],.]=>13988
[[.,[[.,[[.,.],.]],[.,.]]],.]=>14020
[[.,[[[.,.],[.,.]],[.,.]]],.]=>14116
[[.,[[[.,[.,.]],.],[.,.]]],.]=>14148
[[.,[[[[.,.],.],.],[.,.]]],.]=>14212
[[.,[[.,[.,[.,[.,.]]]],.]],.]=>13992
[[.,[[.,[.,[[.,.],.]]],.]],.]=>14000
[[.,[[.,[[.,.],[.,.]]],.]],.]=>14024
[[.,[[.,[[.,[.,.]],.]],.]],.]=>14032
[[.,[[.,[[[.,.],.],.]],.]],.]=>14048
[[.,[[[.,.],[.,[.,.]]],.]],.]=>14120
[[.,[[[.,.],[[.,.],.]],.]],.]=>14128
[[.,[[[.,[.,.]],[.,.]],.]],.]=>14152
[[.,[[[[.,.],.],[.,.]],.]],.]=>14216
[[.,[[[.,[.,[.,.]]],.],.]],.]=>14160
[[.,[[[.,[[.,.],.]],.],.]],.]=>14176
[[.,[[[[.,.],[.,.]],.],.]],.]=>14224
[[.,[[[[.,[.,.]],.],.],.]],.]=>14240
[[.,[[[[[.,.],.],.],.],.]],.]=>14272
[[[.,.],[.,[.,[.,[.,.]]]]],.]=>14676
[[[.,.],[.,[.,[[.,.],.]]]],.]=>14680
[[[.,.],[.,[[.,.],[.,.]]]],.]=>14692
[[[.,.],[.,[[.,[.,.]],.]]],.]=>14696
[[[.,.],[.,[[[.,.],.],.]]],.]=>14704
[[[.,.],[[.,.],[.,[.,.]]]],.]=>14740
[[[.,.],[[.,.],[[.,.],.]]],.]=>14744
[[[.,.],[[.,[.,.]],[.,.]]],.]=>14756
[[[.,.],[[[.,.],.],[.,.]]],.]=>14788
[[[.,.],[[.,[.,[.,.]]],.]],.]=>14760
[[[.,.],[[.,[[.,.],.]],.]],.]=>14768
[[[.,.],[[[.,.],[.,.]],.]],.]=>14792
[[[.,.],[[[.,[.,.]],.],.]],.]=>14800
[[[.,.],[[[[.,.],.],.],.]],.]=>14816
[[[.,[.,.]],[.,[.,[.,.]]]],.]=>14932
[[[.,[.,.]],[.,[[.,.],.]]],.]=>14936
[[[.,[.,.]],[[.,.],[.,.]]],.]=>14948
[[[.,[.,.]],[[.,[.,.]],.]],.]=>14952
[[[.,[.,.]],[[[.,.],.],.]],.]=>14960
[[[[.,.],.],[.,[.,[.,.]]]],.]=>15444
[[[[.,.],.],[.,[[.,.],.]]],.]=>15448
[[[[.,.],.],[[.,.],[.,.]]],.]=>15460
[[[[.,.],.],[[.,[.,.]],.]],.]=>15464
[[[[.,.],.],[[[.,.],.],.]],.]=>15472
[[[.,[.,[.,.]]],[.,[.,.]]],.]=>14996
[[[.,[.,[.,.]]],[[.,.],.]],.]=>15000
[[[.,[[.,.],.]],[.,[.,.]]],.]=>15124
[[[.,[[.,.],.]],[[.,.],.]],.]=>15128
[[[[.,.],[.,.]],[.,[.,.]]],.]=>15508
[[[[.,.],[.,.]],[[.,.],.]],.]=>15512
[[[[.,[.,.]],.],[.,[.,.]]],.]=>15636
[[[[.,[.,.]],.],[[.,.],.]],.]=>15640
[[[[[.,.],.],.],[.,[.,.]]],.]=>15892
[[[[[.,.],.],.],[[.,.],.]],.]=>15896
[[[.,[.,[.,[.,.]]]],[.,.]],.]=>15012
[[[.,[.,[[.,.],.]]],[.,.]],.]=>15044
[[[.,[[.,.],[.,.]]],[.,.]],.]=>15140
[[[.,[[.,[.,.]],.]],[.,.]],.]=>15172
[[[.,[[[.,.],.],.]],[.,.]],.]=>15236
[[[[.,.],[.,[.,.]]],[.,.]],.]=>15524
[[[[.,.],[[.,.],.]],[.,.]],.]=>15556
[[[[.,[.,.]],[.,.]],[.,.]],.]=>15652
[[[[[.,.],.],[.,.]],[.,.]],.]=>15908
[[[[.,[.,[.,.]]],.],[.,.]],.]=>15684
[[[[.,[[.,.],.]],.],[.,.]],.]=>15748
[[[[[.,.],[.,.]],.],[.,.]],.]=>15940
[[[[[.,[.,.]],.],.],[.,.]],.]=>16004
[[[[[[.,.],.],.],.],[.,.]],.]=>16132
[[[.,[.,[.,[.,[.,.]]]]],.],.]=>15016
[[[.,[.,[.,[[.,.],.]]]],.],.]=>15024
[[[.,[.,[[.,.],[.,.]]]],.],.]=>15048
[[[.,[.,[[.,[.,.]],.]]],.],.]=>15056
[[[.,[.,[[[.,.],.],.]]],.],.]=>15072
[[[.,[[.,.],[.,[.,.]]]],.],.]=>15144
[[[.,[[.,.],[[.,.],.]]],.],.]=>15152
[[[.,[[.,[.,.]],[.,.]]],.],.]=>15176
[[[.,[[[.,.],.],[.,.]]],.],.]=>15240
[[[.,[[.,[.,[.,.]]],.]],.],.]=>15184
[[[.,[[.,[[.,.],.]],.]],.],.]=>15200
[[[.,[[[.,.],[.,.]],.]],.],.]=>15248
[[[.,[[[.,[.,.]],.],.]],.],.]=>15264
[[[.,[[[[.,.],.],.],.]],.],.]=>15296
[[[[.,.],[.,[.,[.,.]]]],.],.]=>15528
[[[[.,.],[.,[[.,.],.]]],.],.]=>15536
[[[[.,.],[[.,.],[.,.]]],.],.]=>15560
[[[[.,.],[[.,[.,.]],.]],.],.]=>15568
[[[[.,.],[[[.,.],.],.]],.],.]=>15584
[[[[.,[.,.]],[.,[.,.]]],.],.]=>15656
[[[[.,[.,.]],[[.,.],.]],.],.]=>15664
[[[[[.,.],.],[.,[.,.]]],.],.]=>15912
[[[[[.,.],.],[[.,.],.]],.],.]=>15920
[[[[.,[.,[.,.]]],[.,.]],.],.]=>15688
[[[[.,[[.,.],.]],[.,.]],.],.]=>15752
[[[[[.,.],[.,.]],[.,.]],.],.]=>15944
[[[[[.,[.,.]],.],[.,.]],.],.]=>16008
[[[[[[.,.],.],.],[.,.]],.],.]=>16136
[[[[.,[.,[.,[.,.]]]],.],.],.]=>15696
[[[[.,[.,[[.,.],.]]],.],.],.]=>15712
[[[[.,[[.,.],[.,.]]],.],.],.]=>15760
[[[[.,[[.,[.,.]],.]],.],.],.]=>15776
[[[[.,[[[.,.],.],.]],.],.],.]=>15808
[[[[[.,.],[.,[.,.]]],.],.],.]=>15952
[[[[[.,.],[[.,.],.]],.],.],.]=>15968
[[[[[.,[.,.]],[.,.]],.],.],.]=>16016
[[[[[[.,.],.],[.,.]],.],.],.]=>16144
[[[[[.,[.,[.,.]]],.],.],.],.]=>16032
[[[[[.,[[.,.],.]],.],.],.],.]=>16064
[[[[[[.,.],[.,.]],.],.],.],.]=>16160
[[[[[[.,[.,.]],.],.],.],.],.]=>16192
[[[[[[[.,.],.],.],.],.],.],.]=>16256
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Description
A decimal representation of a binary tree as a code word.
Code word constructed by mapping a binary tree to its corresponding set of matching parentheses and then replacing every ( with a $1$ and every ) with a $0$. We then convert the resulting binary code word to a decimal number.
Code word constructed by mapping a binary tree to its corresponding set of matching parentheses and then replacing every ( with a $1$ and every ) with a $0$. We then convert the resulting binary code word to a decimal number.
Code
def treeToParenthesis(t): singletonTree = BinaryTree(None) parenthesisRepresentation = '()' if (t ==singletonTree): return None else: if (t[0] == singletonTree and t[1] == singletonTree): return parenthesisRepresentation if (t[0] != singletonTree): parenthesisRepresentation='('+treeToParenthesis(t[0])+')' if (t[1] != singletonTree): parenthesisRepresentation+= treeToParenthesis(t[1]) return parenthesisRepresentation def treeToDecimal(t): parenthesisRepresentation = treeToParenthesis(t) decimalRepresentation = 0 if parenthesisRepresentation == None: return decimalRepresentation length = len(parenthesisRepresentation) for x in range(1,length+1): if parenthesisRepresentation[length-x] == "(": decimalRepresentation += 2**(x-1) return decimalRepresentation def statistic(t): return treeToDecimal(t)
Created
May 16, 2014 at 02:50 by Kyle Ryan
Updated
Dec 30, 2016 at 10:59 by Christian Stump
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