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leetcode-problemset/leetcode-cn/originData/minimum-insertion-steps-to-make-a-string-palindrome.json

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{
"data": {
"question": {
"questionId": "1437",
"questionFrontendId": "1312",
"categoryTitle": "Algorithms",
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"title": "Minimum Insertion Steps to Make a String Palindrome",
"titleSlug": "minimum-insertion-steps-to-make-a-string-palindrome",
"content": "<p>Given a string <code>s</code>. In one step you can insert any character at any index of the string.</p>\n\n<p>Return <em>the minimum number of steps</em> to make <code>s</code>&nbsp;palindrome.</p>\n\n<p>A&nbsp;<b>Palindrome String</b>&nbsp;is one that reads the same backward as well as forward.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;zzazz&quot;\n<strong>Output:</strong> 0\n<strong>Explanation:</strong> The string &quot;zzazz&quot; is already palindrome we do not need any insertions.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;mbadm&quot;\n<strong>Output:</strong> 2\n<strong>Explanation:</strong> String can be &quot;mbdadbm&quot; or &quot;mdbabdm&quot;.\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;leetcode&quot;\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> Inserting 5 characters the string becomes &quot;leetcodocteel&quot;.\n</pre>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length &lt;= 500</code></li>\n\t<li><code>s</code> consists of lowercase English letters.</li>\n</ul>\n",
"translatedTitle": "让字符串成为回文串的最少插入次数",
"translatedContent": "<p>给你一个字符串&nbsp;<code>s</code>&nbsp;,每一次操作你都可以在字符串的任意位置插入任意字符。</p>\n\n<p>请你返回让&nbsp;<code>s</code>&nbsp;成为回文串的&nbsp;<strong>最少操作次数</strong>&nbsp;。</p>\n\n<p>「回文串」是正读和反读都相同的字符串。</p>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre>\n<strong>输入:</strong>s = \"zzazz\"\n<strong>输出:</strong>0\n<strong>解释:</strong>字符串 \"zzazz\" 已经是回文串了,所以不需要做任何插入操作。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre>\n<strong>输入:</strong>s = \"mbadm\"\n<strong>输出:</strong>2\n<strong>解释:</strong>字符串可变为 \"mbdadbm\" 或者 \"mdbabdm\" 。\n</pre>\n\n<p><strong>示例 3</strong></p>\n\n<pre>\n<strong>输入:</strong>s = \"leetcode\"\n<strong>输出:</strong>5\n<strong>解释:</strong>插入 5 个字符后字符串变为 \"leetcodocteel\" 。\n</pre>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= s.length &lt;= 500</code></li>\n\t<li><code>s</code>&nbsp;中所有字符都是小写字母。</li>\n</ul>\n",
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"hints": [
"Is dynamic programming suitable for this problem ?",
"If we know the longest palindromic sub-sequence is x and the length of the string is n then, what is the answer to this problem? It is n - x as we need n - x insertions to make the remaining characters also palindrome."
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