State = 0
+---------+
|··=······|
|···b·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|······=··|
+---------+
|
State = 1
+---------+
|··=······|
|·········|
|····b····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|······=··|
+---------+
|
State = 2
+---------+
|··=······|
|·········|
|·········|
|·····b···|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|······=··|
+---------+
|
State = 3
+---------+
|··=······|
|·········|
|·········|
|·········|
|······b··|
|·········|
|·········|
|·········|
|·········|
|·········|
|······=··|
+---------+
|
State = 4
+---------+
|··=······|
|·········|
|·········|
|·········|
|·········|
|·······b·|
|·········|
|·········|
|·········|
|·········|
|······=··|
+---------+
|
State = 5
+---------+
|··=······|
|·········|
|·········|
|·········|
|·········|
|·········|
|········b|
|·········|
|·········|
|·········|
|······=··|
+---------+
|
State = 6
+---------+
|··=······|
|·········|
|·········|
|·········|
|·········|
|·········|
|········d|
|·········|
|·········|
|·········|
|······=··|
+---------+
|
State = 7
+---------+
|··=······|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·······d·|
|·········|
|·········|
|······=··|
+---------+
|
State = 8
+---------+
|··=······|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|······d··|
|·········|
|······=··|
+---------+
|
State = 9
+---------+
|··=······|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|······d··|
|·········|
|·····=···|
+---------+
|
State = 10
+---------+
|··=······|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·····d···|
|·····=···|
+---------+
|
State = 11
+---------+
|··=······|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·····d···|
|····=····|
+---------+
|
State = 12
+---------+
|··=······|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|···q·····|
|····=····|
+---------+
|
State = 13
+---------+
|··=······|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|··q······|
|·········|
|····=····|
+---------+
|
State = 14
+---------+
|··=······|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·q·······|
|·········|
|·········|
|····=····|
+---------+
|
State = 15
+---------+
|··=······|
|·········|
|·········|
|·········|
|·········|
|·········|
|q········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 16
+---------+
|··=······|
|·········|
|·········|
|·········|
|·········|
|·········|
|p········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 17
+---------+
|··=······|
|·········|
|·········|
|·········|
|·········|
|·p·······|
|·········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 18
+---------+
|··=······|
|·········|
|·········|
|·········|
|··p······|
|·········|
|·········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 19
+---------+
|···=·····|
|·········|
|·········|
|·········|
|··p······|
|·········|
|·········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 20
+---------+
|···=·····|
|·········|
|·········|
|···p·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 21
+---------+
|····=····|
|·········|
|·········|
|···p·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 22
+---------+
|····=····|
|·········|
|····p····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 23
+---------+
|·····=···|
|·········|
|····p····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 24
+---------+
|·····=···|
|·····p···|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 25
+---------+
|······=··|
|·····p···|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 26
+---------+
|······=··|
|·······b·|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 27
+---------+
|······=··|
|·········|
|········b|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 28
+---------+
|······=··|
|·········|
|········d|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 29
+---------+
|······=··|
|·········|
|·········|
|·······d·|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 30
+---------+
|······=··|
|·········|
|·········|
|·········|
|······d··|
|·········|
|·········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 31
+---------+
|······=··|
|·········|
|·········|
|·········|
|·········|
|·····d···|
|·········|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 32
+---------+
|······=··|
|·········|
|·········|
|·········|
|·········|
|·········|
|····d····|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 33
+---------+
|······=··|
|·········|
|·········|
|·········|
|·········|
|·········|
|····d····|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 34
+---------+
|······=··|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|···d·····|
|·········|
|·········|
|···=·····|
+---------+
|
State = 35
+---------+
|······=··|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|···d·····|
|·········|
|·········|
|··=······|
+---------+
|
State = 36
+---------+
|······=··|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|··d······|
|·········|
|··=······|
+---------+
|
State = 37
+---------+
|······=··|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|··d······|
|·········|
|·=·······|
+---------+
|
State = 38
+---------+
|······=··|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·d·······|
|·=·······|
+---------+
|
State = 39
+---------+
|······=··|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·d·······|
|=········|
+---------+
|
State = 40
+---------+
|······=··|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|q········|
|=········|
+---------+
|
State = 41
+---------+
|······=··|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|p········|
|=········|
+---------+
|
State = 42
+---------+
|······=··|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·p·······|
|·········|
|=········|
+---------+
|
State = 43
+---------+
|······=··|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|··p······|
|·········|
|·········|
|=········|
+---------+
|
State = 44
+---------+
|······=··|
|·········|
|·········|
|·········|
|·········|
|·········|
|···p·····|
|·········|
|·········|
|·········|
|=········|
+---------+
|
State = 45
+---------+
|······=··|
|·········|
|·········|
|·········|
|·········|
|····p····|
|·········|
|·········|
|·········|
|·········|
|=········|
+---------+
|
State = 46
+---------+
|······=··|
|·········|
|·········|
|·········|
|·····p···|
|·········|
|·········|
|·········|
|·········|
|·········|
|=········|
+---------+
|
State = 47
+---------+
|······=··|
|·········|
|·········|
|······p··|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|=········|
+---------+
|
State = 48
+---------+
|·······=·|
|·········|
|·········|
|······p··|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|=········|
+---------+
|
State = 49
+---------+
|·······=·|
|·········|
|·······p·|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|=········|
+---------+
|
State = 50
+---------+
|········=|
|·········|
|·······p·|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|=········|
+---------+
|
State = 51
+---------+
|········=|
|········p|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|=········|
+---------+
|
State = 52
+---------+
|········=|
|········q|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|=········|
+---------+
|
State = 53
+---------+
|·······=·|
|········q|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|=········|
+---------+
|
State = 54
+---------+
|·······=·|
|······d··|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|=········|
+---------+
|
State = 55
+---------+
|·······=·|
|·········|
|·····d···|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|=········|
+---------+
|
State = 56
+---------+
|·······=·|
|·········|
|·········|
|····d····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|=········|
+---------+
|
State = 57
+---------+
|·······=·|
|·········|
|·········|
|·········|
|···d·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|=········|
+---------+
|
State = 58
+---------+
|·······=·|
|·········|
|·········|
|·········|
|·········|
|··d······|
|·········|
|·········|
|·········|
|·········|
|=········|
+---------+
|
State = 59
+---------+
|·······=·|
|·········|
|·········|
|·········|
|·········|
|·········|
|·d·······|
|·········|
|·········|
|·········|
|=········|
+---------+
|
State = 60
+---------+
|·······=·|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|d········|
|·········|
|·········|
|=········|
+---------+
|
State = 61
+---------+
|·······=·|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|b········|
|·········|
|·········|
|=········|
+---------+
|
State = 62
+---------+
|·······=·|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|b········|
|·········|
|·········|
|·=·······|
+---------+
|
State = 63
+---------+
|·······=·|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·b·······|
|·········|
|·=·······|
+---------+
|
State = 64
+---------+
|·······=·|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·b·······|
|·········|
|··=······|
+---------+
|
State = 65
+---------+
|·······=·|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|··b······|
|··=······|
+---------+
|
State = 66
+---------+
|·······=·|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|··b······|
|···=·····|
+---------+
|
State = 67
+---------+
|·······=·|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|····p····|
|···=·····|
+---------+
|
State = 68
+---------+
|·······=·|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·····p···|
|·········|
|···=·····|
+---------+
|
State = 69
+---------+
|·······=·|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|······p··|
|·········|
|·········|
|···=·····|
+---------+
|
State = 70
+---------+
|·······=·|
|·········|
|·········|
|·········|
|·········|
|·········|
|·······p·|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 71
+---------+
|·······=·|
|·········|
|·········|
|·········|
|·········|
|········p|
|·········|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 72
+---------+
|·······=·|
|·········|
|·········|
|·········|
|·········|
|········q|
|·········|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 73
+---------+
|·······=·|
|·········|
|·········|
|·········|
|·······q·|
|·········|
|·········|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 74
+---------+
|······=··|
|·········|
|·········|
|·········|
|·······q·|
|·········|
|·········|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 75
+---------+
|······=··|
|·········|
|·········|
|······q··|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 76
+---------+
|·····=···|
|·········|
|·········|
|······q··|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 77
+---------+
|·····=···|
|·········|
|·····q···|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 78
+---------+
|····=····|
|·········|
|·····q···|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 79
+---------+
|····=····|
|····q····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 80
+---------+
|···=·····|
|····q····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 81
+---------+
|···=·····|
|··d······|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 82
+---------+
|···=·····|
|·········|
|·d·······|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 83
+---------+
|···=·····|
|·········|
|·········|
|d········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 84
+---------+
|···=·····|
|·········|
|·········|
|b········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 85
+---------+
|···=·····|
|·········|
|·········|
|·········|
|·b·······|
|·········|
|·········|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 86
+---------+
|···=·····|
|·········|
|·········|
|·········|
|·········|
|··b······|
|·········|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 87
+---------+
|···=·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|···b·····|
|·········|
|·········|
|·········|
|···=·····|
+---------+
|
State = 88
+---------+
|···=·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|···b·····|
|·········|
|·········|
|·········|
|····=····|
+---------+
|
State = 89
+---------+
|···=·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|····b····|
|·········|
|·········|
|····=····|
+---------+
|
State = 90
+---------+
|···=·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|····b····|
|·········|
|·········|
|·····=···|
+---------+
|
State = 91
+---------+
|···=·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·····b···|
|·········|
|·····=···|
+---------+
|
State = 92
+---------+
|···=·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·····b···|
|·········|
|······=··|
+---------+
|
State = 93
+---------+
|···=·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|······b··|
|······=··|
+---------+
|
State = 94
+---------+
|···=·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|······b··|
|·······=·|
+---------+
|
State = 95
+---------+
|···=·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|········p|
|·······=·|
+---------+
|
State = 96
+---------+
|···=·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|········q|
|·······=·|
+---------+
|
State = 97
+---------+
|···=·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·······q·|
|·········|
|·······=·|
+---------+
|
State = 98
+---------+
|···=·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|······q··|
|·········|
|·········|
|·······=·|
+---------+
|
State = 99
+---------+
|···=·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·····q···|
|·········|
|·········|
|·········|
|·······=·|
+---------+
|
State = 100
+---------+
|···=·····|
|·········|
|·········|
|·········|
|·········|
|····q····|
|·········|
|·········|
|·········|
|·········|
|·······=·|
+---------+
|
State = 101
+---------+
|···=·····|
|·········|
|·········|
|·········|
|···q·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·······=·|
+---------+
|
State = 102
+---------+
|···=·····|
|·········|
|·········|
|··q······|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·······=·|
+---------+
|
State = 103
+---------+
|···=·····|
|·········|
|·q·······|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·······=·|
+---------+
|
State = 104
+---------+
|···=·····|
|q········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·······=·|
+---------+
|
State = 105
+---------+
|···=·····|
|p········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·······=·|
+---------+
|
State = 106
+---------+
|·p·=·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·······=·|
+---------+
|
State = 107
+---------+
|·o·=·····|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·········|
|·······=·|
+---------+
|