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#7722. 数字分组

الإحصائيات

考虑从 $1$ 到 $n$ 的所有整数集合。将这些整数分成 $k$ 个大小相等的组,使得所有组中整数之和的最大值与最小值之差最小。形式化地,如果 $s_i$ 是第 $i$ 组中整数的和,则应最小化以下值: $$\max_{i=1}^k s_i - \min_{i=1}^k s_i$$

输入格式

第一行包含两个整数 $n$ 和 $k$ ($1 \le n, k \le 100\,000$;$n$ 能被 $k$ 整除)。

输出格式

对于每一组,输出一行,包含该组中所有的整数。如果存在多个最优解,输出其中任意一个即可。

样例

样例输入 1

6 2

样例输出 1

1 4 5
2 3 6

样例输入 2

12 3

样例输出 2

1 7 12 6
10 3 9 4
5 2 8 11

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