leetcode-problemset/leetcode-cn/originData/number-of-dice-rolls-with-target-sum.json

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            "questionId": "1263",
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            "categoryTitle": "Algorithms",
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            "title": "Number of Dice Rolls With Target Sum",
            "titleSlug": "number-of-dice-rolls-with-target-sum",
            "content": "<p>You have <code>n</code> dice and each die has <code>k</code> faces numbered from <code>1</code> to <code>k</code>.</p>\n\n<p>Given three integers <code>n</code>, <code>k</code>, and <code>target</code>, return <em>the number of possible ways (out of the </em><code>k<sup>n</sup></code><em> total ways) </em><em>to roll the dice so the sum of the face-up numbers equals </em><code>target</code>. Since the answer may be too large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong>Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 1, k = 6, target = 3\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> You throw one die with 6 faces.\nThere is only one way to get a sum of 3.\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2, k = 6, target = 7\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> 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</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 30, k = 30, target = 500\n<strong>Output:</strong> 222616187\n<strong>Explanation:</strong> The answer must be returned modulo 10<sup>9</sup> + 7.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n, k &lt;= 30</code></li>\n\t<li><code>1 &lt;= target &lt;= 1000</code></li>\n</ul>\n",
            "translatedTitle": "掷骰子的N种方法",
            "translatedContent": "<p>这里有&nbsp;<code>n</code>&nbsp;个一样的骰子，每个骰子上都有&nbsp;<code>k</code>&nbsp;个面，分别标号为&nbsp;<code>1</code>&nbsp;到 <code>k</code> 。</p>\n\n<p>给定三个整数 <code>n</code> ,&nbsp; <code>k</code> 和&nbsp;<code>target</code>&nbsp;，返回可能的方式(从总共<em>&nbsp;</em><code>k<sup>n</sup></code><em>&nbsp;</em>种方式中)滚动骰子的数量，使正面朝上的数字之和等于<em>&nbsp;</em><code>target</code>&nbsp;。</p>\n\n<p>答案可能很大，你需要对&nbsp;<code>10<sup>9</sup>&nbsp;+ 7</code> <strong>取模</strong>&nbsp;。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 1, k = 6, target = 3\n<strong>输出：</strong>1\n<strong>解释：</strong>你扔一个有6张脸的骰子。\n得到3的和只有一种方法。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 2, k = 6, target = 7\n<strong>输出：</strong>6\n<strong>解释：</strong>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</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre>\n<strong>输入：</strong>n = 30, k = 30, target = 500\n<strong>输出：</strong>222616187\n<strong>解释：</strong>返回的结果必须是对 10<sup>9</sup> + 7 取模。</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n, k &lt;= 30</code></li>\n\t<li><code>1 &lt;= target &lt;= 1000</code></li>\n</ul>\n",
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