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"categoryTitle": "Algorithms",
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"title": "Longest Binary Subsequence Less Than or Equal to K",
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"content": "<p>You are given a binary string <code>s</code> and a positive integer <code>k</code>.</p>\n\n<p>Return <em>the length of the <strong>longest</strong> subsequence of </em><code>s</code><em> that makes up a <strong>binary</strong> number less than or equal to</em> <code>k</code>.</p>\n\n<p>Note:</p>\n\n<ul>\n\t<li>The subsequence can contain <strong>leading zeroes</strong>.</li>\n\t<li>The empty string is considered to be equal to <code>0</code>.</li>\n\t<li>A <strong>subsequence</strong> is a string that can be derived from another string by deleting some or no characters without changing the order of the remaining characters.</li>\n</ul>\n\n<p>&nbsp;</p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;1001010&quot;, k = 5\n<strong>Output:</strong> 5\n<strong>Explanation:</strong> The longest subsequence of s that makes up a binary number less than or equal to 5 is &quot;00010&quot;, as this number is equal to 2 in decimal.\nNote that &quot;00100&quot; and &quot;00101&quot; are also possible, which are equal to 4 and 5 in decimal, respectively.\nThe length of this subsequence is 5, so 5 is returned.\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> s = &quot;00101001&quot;, k = 1\n<strong>Output:</strong> 6\n<strong>Explanation:</strong> &quot;000001&quot; is the longest subsequence of s that makes up a binary number less than or equal to 1, as this number is equal to 1 in decimal.\nThe length of this subsequence is 6, so 6 is returned.\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;= 1000</code></li>\n\t<li><code>s[i]</code> is either <code>&#39;0&#39;</code> or <code>&#39;1&#39;</code>.</li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
"translatedTitle": "小于等于 K 的最长二进制子序列",
"translatedContent": "<p>给你一个二进制字符串&nbsp;<code>s</code>&nbsp;和一个正整数&nbsp;<code>k</code>&nbsp;。</p>\n\n<p>请你返回 <code>s</code>&nbsp;的 <strong>最长</strong>&nbsp;子序列,且该子序列对应的 <strong>二进制</strong>&nbsp;数字小于等于 <code>k</code>&nbsp;。</p>\n\n<p>注意:</p>\n\n<ul>\n\t<li>子序列可以有 <strong>前导 0</strong>&nbsp;。</li>\n\t<li>空字符串视为&nbsp;<code>0</code>&nbsp;。</li>\n\t<li><strong>子序列</strong>&nbsp;是指从一个字符串中删除零个或者多个字符后,不改变顺序得到的剩余字符序列。</li>\n</ul>\n\n<p>&nbsp;</p>\n\n<p><strong>示例 1</strong></p>\n\n<pre><b>输入:</b>s = \"1001010\", k = 5\n<b>输出:</b>5\n<b>解释:</b>s 中小于等于 5 的最长子序列是 \"00010\" ,对应的十进制数字是 2 。\n注意 \"00100\" 和 \"00101\" 也是可行的最长子序列,十进制分别对应 4 和 5 。\n最长子序列的长度为 5 ,所以返回 5 。\n</pre>\n\n<p><strong>示例 2</strong></p>\n\n<pre><b>输入:</b>s = \"00101001\", k = 1\n<b>输出:</b>6\n<b>解释:</b>\"000001\" 是 s 中小于等于 1 的最长子序列,对应的十进制数字是 1 。\n最长子序列的长度为 6 ,所以返回 6 。\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;= 1000</code></li>\n\t<li><code>s[i]</code> 要么是&nbsp;<code>'0'</code>&nbsp;,要么是&nbsp;<code>'1'</code> 。</li>\n\t<li><code>1 &lt;= k &lt;= 10<sup>9</sup></code></li>\n</ul>\n",
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