leetcode-problemset/leetcode-cn/originData/number-of-ways-to-split-a-string.json

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            "questionId": "1678",
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            "title": "Number of Ways to Split a String",
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            "content": "<p>Given a binary string <code>s</code>, you can split <code>s</code> into 3 <strong>non-empty</strong> strings <code>s1</code>, <code>s2</code>, and <code>s3</code> where <code>s1 + s2 + s3 = s</code>.</p>\n\n<p>Return the number of ways <code>s</code> can be split such that the number of ones is the same in <code>s1</code>, <code>s2</code>, and <code>s3</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> s = &quot;10101&quot;\n<strong>Output:</strong> 4\n<strong>Explanation:</strong> There are four ways to split s in 3 parts where each part contain the same number of letters &#39;1&#39;.\n&quot;1|010|1&quot;\n&quot;1|01|01&quot;\n&quot;10|10|1&quot;\n&quot;10|1|01&quot;\n</pre>\n\n<p><strong>Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;1001&quot;\n<strong>Output:</strong> 0\n</pre>\n\n<p><strong>Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;0000&quot;\n<strong>Output:</strong> 3\n<strong>Explanation:</strong> There are three ways to split s in 3 parts.\n&quot;0|0|00&quot;\n&quot;0|00|0&quot;\n&quot;00|0|0&quot;\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 &lt;= s.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>s[i]</code> is either <code>&#39;0&#39;</code> or <code>&#39;1&#39;</code>.</li>\n</ul>\n",
            "translatedTitle": "分割字符串的方案数",
            "translatedContent": "<p>给你一个二进制串&nbsp;<code>s</code>&nbsp; （一个只包含 0 和 1 的字符串），我们可以将 <code>s</code>&nbsp;分割成 3 个 <strong>非空</strong>&nbsp;字符串 s1, s2, s3 （s1 + s2 + s3 = s）。</p>\n\n<p>请你返回分割&nbsp;<code>s</code>&nbsp;的方案数，满足 s1，s2 和 s3 中字符 &#39;1&#39; 的数目相同。</p>\n\n<p>由于答案可能很大，请将它对 10^9 + 7 取余后返回。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1：</strong></p>\n\n<pre><strong>输入：</strong>s = &quot;10101&quot;\n<strong>输出：</strong>4\n<strong>解释：</strong>总共有 4 种方法将 s 分割成含有 &#39;1&#39; 数目相同的三个子字符串。\n&quot;1|010|1&quot;\n&quot;1|01|01&quot;\n&quot;10|10|1&quot;\n&quot;10|1|01&quot;\n</pre>\n\n<p><strong>示例 2：</strong></p>\n\n<pre><strong>输入：</strong>s = &quot;1001&quot;\n<strong>输出：</strong>0\n</pre>\n\n<p><strong>示例 3：</strong></p>\n\n<pre><strong>输入：</strong>s = &quot;0000&quot;\n<strong>输出：</strong>3\n<strong>解释：</strong>总共有 3 种分割 s 的方法。\n&quot;0|0|00&quot;\n&quot;0|00|0&quot;\n&quot;00|0|0&quot;\n</pre>\n\n<p><strong>示例 4：</strong></p>\n\n<pre><strong>输入：</strong>s = &quot;100100010100110&quot;\n<strong>输出：</strong>12\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示：</strong></p>\n\n<ul>\n\t<li><code>s[i] == &#39;0&#39;</code>&nbsp;或者&nbsp;<code>s[i] == &#39;1&#39;</code></li>\n\t<li><code>3 &lt;= s.length &lt;= 10^5</code></li>\n</ul>\n",
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            "hints": [
                "There is no way if the sum (number of '1's) is not divisible by the number of splits. So sum%3 should be 0.",
                "Preffix s1 , and suffix s3 should have sum/3 characters '1'.",
                "Follow up: Can you generalize the problem with numbers between [-10^9, 10^9] such the sum between subarrays s1, s2, s3 are the same?"
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