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Límite de tiempo: 5 s Límite de memoria: 512 MB Puntuación total: 100

#1428. Grp

Estadísticas

将 $\{a, b, c, \dots\}$(前 $n$ 个小写英文字母)中所有大小不超过 $k$ 的非空子集分配到尽可能少的组中,需满足以下条件:

  • 每个子集必须恰好属于一个组;
  • 属于同一组的子集必须没有公共元素;
  • 属于同一组的子集的总大小必须不超过 $k$。

输入格式

仅一行,包含两个整数 $n$ 和 $k$ ($1 \le k \le n \le 17$)。

输出格式

输出最少的组数 $g$,随后输出 $g$ 个组的描述。 第 $i$ 个组的描述必须包含一个整数 $s_i$,随后是 $s_i$ 个子集的描述。每个子集的描述必须是一个包含子集元素的字符串,元素顺序不限,且不含空格。

样例

输入 1

3 2

输出 1

5
1 ab
1 ac
1 bc
1 b
2 c a

输入 2

3 3

输出 2

4
1 abc
2 ab c
2 ac b
2 bc a

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