You have n dice, and each die has k faces numbered from 1 to k.
Given three integers n, k, and target, return the number of possible ways (out of the kn total ways) to roll the dice, so the sum of the face-up numbers equals target. Since the answer may be too large, return it modulo 109 + 7.
\n
Example 1:
\n\n\nInput: n = 1, k = 6, target = 3\nOutput: 1\nExplanation: You throw one die with 6 faces.\nThere is only one way to get a sum of 3.\n\n\n
Example 2:
\n\n\nInput: n = 2, k = 6, target = 7\nOutput: 6\nExplanation: You throw two dice, each with 6 faces.\nThere are 6 ways to get a sum of 7: 1+6, 2+5, 3+4, 4+3, 5+2, 6+1.\n\n\n
Example 3:
\n\n\nInput: n = 30, k = 30, target = 500\nOutput: 222616187\nExplanation: The answer must be returned modulo 109 + 7.\n\n\n
\n
Constraints:
\n\n1 <= n, k <= 301 <= target <= 1000这里有 n 个一样的骰子，每个骰子上都有 k 个面，分别标号为 1 到 k 。
给定三个整数 n , k 和 target ，返回可能的方式(从总共 kn 种方式中)滚动骰子的数量，使正面朝上的数字之和等于 target 。
答案可能很大，你需要对 109 + 7 取模 。
\n\n
示例 1：
\n\n\n输入：n = 1, k = 6, target = 3\n输出：1\n解释：你扔一个有 6 个面的骰子。\n得到 3 的和只有一种方法。\n\n\n
示例 2：
\n\n\n输入：n = 2, k = 6, target = 7\n输出：6\n解释：你扔两个骰子，每个骰子有 6 个面。\n得到 7 的和有 6 种方法：1+6 2+5 3+4 4+3 5+2 6+1。\n\n\n
示例 3：
\n\n\n输入：n = 30, k = 30, target = 500\n输出：222616187\n解释：返回的结果必须是对 109 + 7 取模。\n\n
\n\n
提示：
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