+1ΔBMS

复制一次当后继的BMS，即在BMS中修改规则：

展开时每一部分坏根只加一次阶差后不断复制在结尾

其他规则不变，得到的改版。该改版的强度与BMS相同。

分析

0 11 = 0 1 2
0 11 1 = 0 1 2 1
0 11 1 2 = 0 1 2 1 2
0 11 1 2 2 = 0 1 2 2
0 11 1 21 = 0 1 2 3
0 11 1 21 1 21 = 0 1 2 3 1 2 3
0 11 11 = 0 1 2 3 2
0 11 11 1 21 = 0 1 2 3 2 1 2 3
0 11 11 1 21 2 = 0 1 2 3 2 1 2 3 2
0 11 11 1 21 2 2 = 0 1 2 3 2 2
0 11 11 1 21 2 3 = 0 1 2 3 2 3
0 11 11 1 21 2 3 3 = 0 1 2 3 3
0 11 11 1 21 2 31 = 0 1 2 3 4
0 11 11 1 21 2 31 2 31 = 0 1 2 3 4 2 3 4
0 11 11 1 21 21 = 0 1 2 3 4 3
0 11 11 1 21 21 1 21 21 = 0 1 2 3 4 3 1 2 3 4 3
0 11 11 11 = 0 1 2 3 4 3 2
0 11 11 11 1 21 21 2 31 3 41 = 0 1 2 3 4 5
0 11 11 11 11 = 0 1 2 3 4 5 4 3 2
0 111 = 0 11
0 111 1 21 = 0 11 1 2 3
0 111 1 21 21 = 0 11 1 2 3 4 3
0 111 1 211 = 0 11 1 21
0 111 1 211 1 211 = 0 11 1 21 1 21
0 111 11 = 0 11 1 21 2
0 111 11 1 211 = 0 11 1 21 2 1 21
0 111 11 1 211 2 = 0 11 1 21 2 1 21 2
0 111 11 1 211 2 311 = 0 11 1 21 2 31
0 111 11 1 211 21 = 0 11 1 21 2 31 3
0 111 11 11 = 0 11 1 21 2 31 3 2
0 111 11 2 = 0 11 11
0 111 11 2 11 2 = 0 11 11 11
0 111 11 2 2 = 0 11 2
0 111 11 2 311 = 0 11 2 31
0 111 11 2 311 31 = 0 11 2 31 4
0 111 11 21 = 0 11 2 31 4 3
0 111 11 21 11 2 = 0 11 2 31 4 3 11
0 111 11 21 11 2 311 31 41 = 0 11 2 31 4 51 6 5
0 111 11 21 11 2 311 31 41 3 411 = 0 11 2 31 4 51 6 5 3 41
0 111 11 21 11 2 311 31 41 3 411 41 51 = 0 11 2 31 4 51 6 5 3 41 5 61 7 6
0 111 11 21 11 2 311 31 41 31 = 0 11 2 31 4 51 6 5 3 41 5 61 7 6 4
0 111 11 21 11 21 = 0 11 2 31 4 51 6 5 3 41 5 61 7 6 4 3
0 111 11 21 11 21 11 2 311 31 41 31 41 = 0 11 2 31 4 51 6 71 8 7 5 61 7 81 9 8 6 5
0 111 11 21 11 21 11 2 311 31 41 31 41 31 = 0 11 2 31 4 51 6 71 8 7 5 61 7 81 9 8 6 5 3 41 5 61 7 81 9 8 6 71 8 91 A 9 7 6 4
0 111 11 21 11 21 11 21 = 0 11 2 31 4 51 6 71 8 7 5 61 7 81 9 8 6 5 3 41 5 61 7 81 9 8 6 71 8 91 A 9 7 6 4 3
0 111 11 21 2 = 0 11 21
0 111 11 21 2 11 2 = 0 11 21 11
0 111 11 21 2 11 2 311 31 41 4 = 0 11 21 11 2 31 41
0 111 11 21 2 11 2 311 31 41 4 31 = 0 11 21 11 2 31 41 3 41 51 4
0 111 11 21 2 11 21 = 0 11 21 11 2 31 41 3 41 51 4 3
0 111 11 21 2 11 21 11 21 = 0 11 21 11 2 31 41 31 4 51 61 5 61 71 6 5 3 41 51 41 5 61 71 6 71 81 7 6 4 3
0 111 11 21 2 11 21 2 = 0 11 21 11 21
0 111 11 21 2 2 = 0 11 21 2
0 111 11 21 2 311 31 41 = 0 11 21 2 31 4 51 6 5
0 111 11 21 21 = 0 11 21 2 31 4 51 6 5 3
0 111 11 21 21 2 = 0 11 21 21
0 111 11 21 21 21 2 = 0 11 21 21 21
0 111 11 22 = 0 11 21 3
0 111 11 22 2 = 0 11 21 3 2
0 111 11 22 21 3 = 0 11 21 3 21
0 111 11 22 21 31 2 = 0 11 21 31
0 111 11 22 21 32 = 0 11 21 31 4
0 111 11 221 = 0 11 22
0 111 111 = 0 11 22 2
0 1111 = 0 111