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leetcode-problemset/leetcode-cn/originData/find-the-largest-palindrome-divisible-by-k.json
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{
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"question": {
"questionId": "3552",
"questionFrontendId": "3260",
"categoryTitle": "Algorithms",
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"title": "Find the Largest Palindrome Divisible by K",
"titleSlug": "find-the-largest-palindrome-divisible-by-k",
"content": "<p>You are given two <strong>positive</strong> integers <code>n</code> and <code>k</code>.</p>\n\n<p>An integer <code>x</code> is called <strong>k-palindromic</strong> if:</p>\n\n<ul>\n\t<li><code>x</code> is a <span data-keyword=\"palindrome-integer\">palindrome</span>.</li>\n\t<li><code>x</code> is divisible by <code>k</code>.</li>\n</ul>\n\n<p>Return the<strong> largest</strong> integer having <code>n</code> digits (as a string) that is <strong>k-palindromic</strong>.</p>\n\n<p><strong>Note</strong> that the integer must <strong>not</strong> have leading zeros.</p>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">n = 3, k = 5</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">&quot;595&quot;</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>595 is the largest k-palindromic integer with 3 digits.</p>\n</div>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">n = 1, k = 4</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">&quot;8&quot;</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>4 and 8 are the only k-palindromic integers with 1 digit.</p>\n</div>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<div class=\"example-block\">\n<p><strong>Input:</strong> <span class=\"example-io\">n = 5, k = 6</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">&quot;89898&quot;</span></p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= 9</code></li>\n</ul>\n",
"translatedTitle": "找出最大的 N 位 K 回文数",
"translatedContent": "<p>给你两个 <strong>正整数</strong> <code>n</code> 和 <code>k</code>。</p>\n\n<p>如果整数 <code>x</code> 满足以下全部条件,则该整数是一个 <strong>k 回文数</strong></p>\n\n<ul>\n\t<li><code>x</code> 是一个 <span data-keyword=\"palindrome-integer\">回文数</span>。</li>\n\t<li><code>x</code> 可以被 <code>k</code> 整除。</li>\n</ul>\n\n<p>以字符串形式返回 <strong>最大的&nbsp;</strong> <code>n</code> 位 <strong>k 回文数</strong>。</p>\n\n<p><strong>注意</strong>,该整数 <strong>不 </strong>含前导零。</p>\n\n<p>&nbsp;</p>\n\n<p><strong class=\"example\">示例 1</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">n = 3, k = 5</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">\"595\"</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>595 是最大的 3 位 k 回文数。</p>\n</div>\n\n<p><strong class=\"example\">示例 2</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">n = 1, k = 4</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">\"8\"</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>1 位 k 回文数只有 4 和 8。</p>\n</div>\n\n<p><strong class=\"example\">示例 3</strong></p>\n\n<div class=\"example-block\">\n<p><strong>输入:</strong> <span class=\"example-io\">n = 5, k = 6</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">\"89898\"</span></p>\n</div>\n\n<p>&nbsp;</p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>1 &lt;= n &lt;= 10<sup>5</sup></code></li>\n\t<li><code>1 &lt;= k &lt;= 9</code></li>\n</ul>\n",
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"Use string dp, store modulus along with length of number currently formed.",
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