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{
"data": {
"question": {
"questionId": "3546",
"questionFrontendId": "3261",
"categoryTitle": "Algorithms",
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"title": "Count Substrings That Satisfy K-Constraint II",
"titleSlug": "count-substrings-that-satisfy-k-constraint-ii",
"content": "<p>You are given a <strong>binary</strong> string <code>s</code> and an integer <code>k</code>.</p>\n\n<p>You are also given a 2D integer array <code>queries</code>, where <code>queries[i] = [l<sub>i</sub>, r<sub>i</sub>]</code>.</p>\n\n<p>A <strong>binary string</strong> satisfies the <strong>k-constraint</strong> if <strong>either</strong> of the following conditions holds:</p>\n\n<ul>\n\t<li>The number of <code>0</code>&#39;s in the string is at most <code>k</code>.</li>\n\t<li>The number of <code>1</code>&#39;s in the string is at most <code>k</code>.</li>\n</ul>\n\n<p>Return an integer array <code>answer</code>, where <code>answer[i]</code> is the number of <span data-keyword=\"substring-nonempty\">substrings</span> of <code>s[l<sub>i</sub>..r<sub>i</sub>]</code> that satisfy the <strong>k-constraint</strong>.</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\">s = &quot;0001111&quot;, k = 2, queries = [[0,6]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[26]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>For the query <code>[0, 6]</code>, all substrings of <code>s[0..6] = &quot;0001111&quot;</code> satisfy the k-constraint except for the substrings <code>s[0..5] = &quot;000111&quot;</code> and <code>s[0..6] = &quot;0001111&quot;</code>.</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\">s = &quot;010101&quot;, k = 1, queries = [[0,5],[1,4],[2,3]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[15,9,3]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<p>The substrings of <code>s</code> with a length greater than 3 do not satisfy the k-constraint.</p>\n</div>\n\n<p>&nbsp;</p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>1 &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\t<li><code>1 &lt;= k &lt;= s.length</code></li>\n\t<li><code>1 &lt;= queries.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>queries[i] == [l<sub>i</sub>, r<sub>i</sub>]</code></li>\n\t<li><code>0 &lt;= l<sub>i</sub> &lt;= r<sub>i</sub> &lt; s.length</code></li>\n\t<li>All queries are distinct.</li>\n</ul>\n",
"translatedTitle": "统计满足 K 约束的子字符串数量 II",
"translatedContent": "<p>给你一个 <strong>二进制</strong> 字符串 <code>s</code> 和一个整数 <code>k</code>。</p>\n\n<p>另给你一个二维整数数组 <code>queries</code> ,其中 <code>queries[i] = [l<sub>i</sub>, r<sub>i</sub>]</code> 。</p>\n\n<p>如果一个 <strong>二进制字符串</strong> 满足以下任一条件,则认为该字符串满足 <strong>k 约束</strong></p>\n\n<ul>\n\t<li>字符串中 <code>0</code> 的数量最多为 <code>k</code>。</li>\n\t<li>字符串中 <code>1</code> 的数量最多为 <code>k</code>。</li>\n</ul>\n\n<p>返回一个整数数组 <code>answer</code> ,其中 <code>answer[i]</code> 表示 <code>s[l<sub>i</sub>..r<sub>i</sub>]</code> 中满足 <strong>k 约束</strong> 的 <span data-keyword=\"substring-nonempty\">子字符串</span> 的数量。</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\">s = \"0001111\", k = 2, queries = [[0,6]]</span></p>\n\n<p><strong>输出:</strong><span class=\"example-io\">[26]</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p>对于查询 <code>[0, 6]</code> <code>s[0..6] = \"0001111\"</code> 的所有子字符串中,除 <code>s[0..5] = \"000111\"</code> 和 <code>s[0..6] = \"0001111\"</code> 外,其余子字符串都满足 k 约束。</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\">s = \"010101\", k = 1, queries = [[0,5],[1,4],[2,3]]</span></p>\n\n<p><strong>输出:</strong><span class=\"example-io\">[15,9,3]</span></p>\n\n<p><strong>解释:</strong></p>\n\n<p><code>s</code> 的所有子字符串中,长度大于 3 的子字符串都不满足 k 约束。</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;= s.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>s[i]</code> 是 <code>'0'</code> 或 <code>'1'</code></li>\n\t<li><code>1 &lt;= k &lt;= s.length</code></li>\n\t<li><code>1 &lt;= queries.length &lt;= 10<sup>5</sup></code></li>\n\t<li><code>queries[i] == [l<sub>i</sub>, r<sub>i</sub>]</code></li>\n\t<li><code>0 &lt;= l<sub>i</sub> &lt;= r<sub>i</sub> &lt; s.length</code></li>\n\t<li>所有查询互不相同</li>\n</ul>\n",
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"Answering online queries is tough. Try to answer them offline since the queries are known beforehand.",
"For each index, how do you calculate the left boundary so that the given condition is satisfied?",
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