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"question": {
"questionId": "3174",
"questionFrontendId": "2914",
"categoryTitle": "Algorithms",
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"title": "Minimum Number of Changes to Make Binary String Beautiful",
"titleSlug": "minimum-number-of-changes-to-make-binary-string-beautiful",
"content": "<p>You are given a <strong>0-indexed</strong> binary string <code>s</code> having an even length.</p>\n\n<p>A string is <strong>beautiful</strong> if it&#39;s possible to partition it into one or more substrings such that:</p>\n\n<ul>\n\t<li>Each substring has an <strong>even length</strong>.</li>\n\t<li>Each substring contains <strong>only</strong> <code>1</code>&#39;s or <strong>only</strong> <code>0</code>&#39;s.</li>\n</ul>\n\n<p>You can change any character in <code>s</code> to <code>0</code> or <code>1</code>.</p>\n\n<p>Return <em>the <strong>minimum</strong> number of changes required to make the string </em><code>s</code> <em>beautiful</em>.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;1001&quot;\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> We change s[1] to 1 and s[3] to 0 to get string &quot;1100&quot;.\nIt can be seen that the string &quot;1100&quot; is beautiful because we can partition it into &quot;11|00&quot;.\nIt can be proven that 2 is the minimum number of changes needed to make the string beautiful.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;10&quot;\n<strong>Output:</strong> 1\n<strong>Explanation:</strong> We change s[1] to 1 to get string &quot;11&quot;.\nIt can be seen that the string &quot;11&quot; is beautiful because we can partition it into &quot;11&quot;.\nIt can be proven that 1 is the minimum number of changes needed to make the string beautiful.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;0000&quot;\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> We don&#39;t need to make any changes as the string &quot;0000&quot; is beautiful already.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= s.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>s</code> has an even length.</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": "使二进制字符串变美丽的最少修改次数",
"translatedContent": "<p>给你一个长度为偶数下标从 <strong>0</strong>&nbsp;开始的二进制字符串&nbsp;<code>s</code>&nbsp;。</p>\n\n<p>如果可以将一个字符串分割成一个或者更多满足以下条件的子字符串,那么我们称这个字符串是 <strong>美丽的</strong>&nbsp;</p>\n\n<ul>\n\t<li>每个子字符串的长度都是 <strong>偶数</strong>&nbsp;。</li>\n\t<li>每个子字符串都 <strong>只</strong>&nbsp;包含 <code>1</code>&nbsp;或 <strong>只</strong>&nbsp;包含 <code>0</code>&nbsp;。</li>\n</ul>\n\n<p>你可以将 <code>s</code>&nbsp;中任一字符改成&nbsp;<code>0</code>&nbsp;或者&nbsp;<code>1</code>&nbsp;。</p>\n\n<p>请你返回让字符串 <code>s</code>&nbsp;美丽的<strong>&nbsp;最少</strong>&nbsp;字符修改次数。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<pre>\n<b>输入:</b>s = \"1001\"\n<b>输出:</b>2\n<b>解释:</b>我们将 s[1] 改为 1 ,且将 s[3] 改为 0 ,得到字符串 \"1100\" 。\n字符串 \"1100\" 是美丽的,因为我们可以将它分割成 \"11|00\" 。\n将字符串变美丽最少需要 2 次修改。\n</pre>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<pre>\n<b>输入:</b>s = \"10\"\n<b>输出:</b>1\n<b>解释:</b>我们将 s[1] 改为 1 ,得到字符串 \"11\" 。\n字符串 \"11\" 是美丽的,因为它已经是美丽的。\n将字符串变美丽最少需要 1 次修改。\n</pre>\n\n<p><strong class=\"example\">示例 3</strong></p>\n\n<pre>\n<b>输入:</b>s = \"0000\"\n<b>输出:</b>0\n<b>解释:</b>不需要进行任何修改,字符串 \"0000\" 已经是美丽字符串。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>2 &lt;= s.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>s</code>&nbsp;的长度为偶数。</li>\n\t<li><code>s[i]</code>&nbsp;要么是&nbsp;<code>'0'</code>&nbsp;,要么是&nbsp;<code>'1'</code> 。</li>\n</ul>\n",
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"hints": [
"For any valid partition, since each part consists of an even number of the same characters, we can further partition each part into lengths of exactly <code>2</code>.",
"After noticing the first hint, we can decompose the whole string into disjoint blocks of size <code>2</code> and find the minimum number of changes required to make those blocks beautiful."
],
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