leetcode-problemset/leetcode-cn/originData/dice-roll-simulation.json

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            "title": "Dice Roll Simulation",
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            "content": "<p>A die simulator generates a random number from <code>1</code> to <code>6</code> for each roll. You introduced a constraint to the generator such that it cannot roll the number <code>i</code> more than <code>rollMax[i]</code> (<strong>1-indexed</strong>) consecutive times.</p>\n\n<p>Given an array of integers <code>rollMax</code> and an integer <code>n</code>, return <em>the number of distinct sequences that can be obtained with exact </em><code>n</code><em> rolls</em>. Since the answer may be too large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>Two sequences are considered different if at least one element differs from each other.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2, rollMax = [1,1,2,2,2,3]\n<strong>Output:</strong> 34\n<strong>Explanation:</strong> There will be 2 rolls of die, if there are no constraints on the die, there are 6 * 6 = 36 possible combinations. In this case, looking at rollMax array, the numbers 1 and 2 appear at most once consecutively, therefore sequences (1,1) and (2,2) cannot occur, so the final answer is 36-2 = 34.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 2, rollMax = [1,1,1,1,1,1]\n<strong>Output:</strong> 30\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> n = 3, rollMax = [1,1,1,2,2,3]\n<strong>Output:</strong> 181\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 5000</code></li>\n\t<li><code>rollMax.length == 6</code></li>\n\t<li><code>1 &lt;= rollMax[i] &lt;= 15</code></li>\n</ul>\n",
            "translatedTitle": "掷骰子模拟",
            "translatedContent": "<p>有一个骰子模拟器会每次投掷的时候生成一个 1 到 6 的随机数。</p>\n\n<p>不过我们在使用它时有个约束，就是使得投掷骰子时，<strong>连续</strong> 掷出数字&nbsp;<code>i</code>&nbsp;的次数不能超过&nbsp;<code>rollMax[i]</code>（<code>i</code>&nbsp;从 1 开始编号）。</p>\n\n<p>现在，给你一个整数数组&nbsp;<code>rollMax</code>&nbsp;和一个整数&nbsp;<code>n</code>，请你来计算掷&nbsp;<code>n</code>&nbsp;次骰子可得到的不同点数序列的数量。</p>\n\n<p>假如两个序列中至少存在一个元素不同，就认为这两个序列是不同的。由于答案可能很大，所以请返回 <strong>模&nbsp;<code>10^9 + 7</code></strong>&nbsp;之后的结果。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>n = 2, rollMax = [1,1,2,2,2,3]\n<strong>输出：</strong>34\n<strong>解释：</strong>我们掷 2 次骰子，如果没有约束的话，共有 6 * 6 = 36 种可能的组合。但是根据 rollMax 数组，数字 1 和 2 最多连续出现一次，所以不会出现序列 (1,1) 和 (2,2)。因此，最终答案是 36-2 = 34。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>n = 2, rollMax = [1,1,1,1,1,1]\n<strong>输出：</strong>30\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><strong>输入：</strong>n = 3, rollMax = [1,1,1,2,2,3]\n<strong>输出：</strong>181\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 5000</code></li>\n\t<li><code>rollMax.length == 6</code></li>\n\t<li><code>1 &lt;= rollMax[i] &lt;= 15</code></li>\n</ul>\n",
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