Polynomial coefficients

Polynomial coefficients

时间： 1ms        内存：64M

描述：

This problem seeks the coefficients resulting from the expansion of the polynomial

P = (x₁ + x₂ + ... + x_k)ⁿ

输入：

The input will consist of a set of pairs of lines. The first line of the pair consists of two integers n and k separated with space ( 0 < k, n < 13). These integers define the power of the polynomial and the number of variables. The second line in each pair consists of k non-negative integers n1,..., nk, where n1 + ... + nk = n.

输出：

For each input pair of lines the output line should consist of one integer, the coefficient of the monomial x₁^n₁x₂^n₂...x_k^n_k in expansion of the polynomial ((x₁ + x₂ + ... + x_k)ⁿ.

示例输入：

2 2
1 1
2 12
1 0 0 0 0 0 0 0 0 0 1 0

示例输出：

2
2

提示：

参考答案：

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