leetcode-problemset/leetcode-cn/originData/count-ways-to-build-good-strings.json

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            "title": "Count Ways To Build Good Strings",
            "titleSlug": "count-ways-to-build-good-strings",
            "content": "<p>Given the integers <code>zero</code>, <code>one</code>, <code>low</code>, and <code>high</code>, we can construct a string by starting with an empty string, and then at each step perform either of the following:</p>\n\n<ul>\n\t<li>Append the character <code>&#39;0&#39;</code> <code>zero</code> times.</li>\n\t<li>Append the character <code>&#39;1&#39;</code> <code>one</code> times.</li>\n</ul>\n\n<p>This can be performed any number of times.</p>\n\n<p>A <strong>good</strong> string is a string constructed by the above process having a <strong>length</strong> between <code>low</code> and <code>high</code> (<strong>inclusive</strong>).</p>\n\n<p>Return <em>the number of <strong>different</strong> good strings that can be constructed satisfying these properties.</em> Since the answer can be large, return it <strong>modulo</strong> <code>10<sup>9</sup> + 7</code>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> low = 3, high = 3, zero = 1, one = 1\n<strong>Output:</strong> 8\n<strong>Explanation:</strong> \nOne possible valid good string is &quot;011&quot;. \nIt can be constructed as follows: &quot;&quot; -&gt; &quot;0&quot; -&gt; &quot;01&quot; -&gt; &quot;011&quot;. \nAll binary strings from &quot;000&quot; to &quot;111&quot; are good strings in this example.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> low = 2, high = 3, zero = 1, one = 2\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> The good strings are &quot;00&quot;, &quot;11&quot;, &quot;000&quot;, &quot;110&quot;, and &quot;011&quot;.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= low&nbsp;&lt;= high&nbsp;&lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= zero, one &lt;= low</code></li>\n</ul>\n",
            "translatedTitle": "统计构造好字符串的方案数",
            "translatedContent": "<p>给你整数&nbsp;<code>zero</code>&nbsp;，<code>one</code>&nbsp;，<code>low</code>&nbsp;和&nbsp;<code>high</code>&nbsp;，我们从空字符串开始构造一个字符串，每一步执行下面操作中的一种：</p>\n\n<ul>\n\t<li>将&nbsp;<code>'0'</code>&nbsp;在字符串末尾添加&nbsp;<code>zero</code>&nbsp; 次。</li>\n\t<li>将&nbsp;<code>'1'</code>&nbsp;在字符串末尾添加&nbsp;<code>one</code>&nbsp;次。</li>\n</ul>\n\n<p>以上操作可以执行任意次。</p>\n\n<p>如果通过以上过程得到一个 <strong>长度</strong>&nbsp;在&nbsp;<code>low</code> 和&nbsp;<code>high</code>&nbsp;之间（包含上下边界）的字符串，那么这个字符串我们称为&nbsp;<strong>好</strong>&nbsp;字符串。</p>\n\n<p>请你返回满足以上要求的 <strong>不同</strong>&nbsp;好字符串数目。由于答案可能很大，请将结果对&nbsp;<code>10<sup>9</sup> + 7</code>&nbsp;<strong>取余</strong>&nbsp;后返回。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><b>输入：</b>low = 3, high = 3, zero = 1, one = 1\n<b>输出：</b>8\n<b>解释：</b>\n一个可能的好字符串是 \"011\" 。\n可以这样构造得到：\"\" -&gt; \"0\" -&gt; \"01\" -&gt; \"011\" 。\n从 \"000\" 到 \"111\" 之间所有的二进制字符串都是好字符串。\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><b>输入：</b>low = 2, high = 3, zero = 1, one = 2\n<b>输出：</b>5\n<b>解释：</b>好字符串为 \"00\" ，\"11\" ，\"000\" ，\"110\" 和 \"011\" 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= low&nbsp;&lt;= high&nbsp;&lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= zero, one &lt;= low</code></li>\n</ul>\n",
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