mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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171 lines
33 KiB
JSON
171 lines
33 KiB
JSON
{
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"data": {
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"question": {
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"questionId": "3955",
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"questionFrontendId": "3636",
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"categoryTitle": "Algorithms",
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"boundTopicId": 3738823,
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"title": "Threshold Majority Queries",
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"titleSlug": "threshold-majority-queries",
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"content": "<p>You are given an integer array <code>nums</code> of length <code>n</code> and an array <code>queries</code>, where <code>queries[i] = [l<sub>i</sub>, r<sub>i</sub>, threshold<sub>i</sub>]</code>.</p>\n\n<p>Return an array of integers <code data-end=\"33\" data-start=\"28\">ans</code> where <code data-end=\"48\" data-start=\"40\">ans[i]</code> is equal to the element in the subarray <code data-end=\"102\" data-start=\"89\">nums[l<sub>i</sub>...r<sub>i</sub>]</code> that appears <strong>at least</strong> <code data-end=\"137\" data-start=\"125\">threshold<sub>i</sub></code> times, selecting the element with the <strong>highest</strong> frequency (choosing the <strong>smallest</strong> in case of a tie), or -1 if no such element <em>exists</em>.</p>\n\n<p> </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\">nums = [1,1,2,2,1,1], queries = [[0,5,4],[0,3,3],[2,3,2]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[1,-1,2]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<table style=\"border: 1px solid black;\">\n\t<thead>\n\t\t<tr>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">Query</th>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">Sub-array</th>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">Threshold</th>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">Frequency table</th>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">Answer</th>\n\t\t</tr>\n\t</thead>\n\t<tbody>\n\t\t<tr>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[0, 5, 4]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[1, 1, 2, 2, 1, 1]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">4</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">1 → 4, 2 → 2</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">1</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[0, 3, 3]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[1, 1, 2, 2]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">3</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">1 → 2, 2 → 2</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">-1</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[2, 3, 2]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[2, 2]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">2</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">2 → 2</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">2</td>\n\t\t</tr>\n\t</tbody>\n</table>\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\">nums = [3,2,3,2,3,2,3], queries = [[0,6,4],[1,5,2],[2,4,1],[3,3,1]]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">[3,2,3,2]</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<table style=\"border: 1px solid black;\">\n\t<thead>\n\t\t<tr>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">Query</th>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">Sub-array</th>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">Threshold</th>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">Frequency table</th>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">Answer</th>\n\t\t</tr>\n\t</thead>\n\t<tbody>\n\t\t<tr>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[0, 6, 4]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[3, 2, 3, 2, 3, 2, 3]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">4</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">3 → 4, 2 → 3</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">3</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[1, 5, 2]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[2, 3, 2, 3, 2]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">2</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">2 → 3, 3 → 2</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">2</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[2, 4, 1]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[3, 2, 3]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">1</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">3 → 2, 2 → 1</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">3</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[3, 3, 1]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[2]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">1</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">2 → 1</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">2</td>\n\t\t</tr>\n\t</tbody>\n</table>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li data-end=\"51\" data-start=\"19\"><code data-end=\"49\" data-start=\"19\">1 <= nums.length == n <= 10<sup>4</sup></code></li>\n\t<li data-end=\"82\" data-start=\"54\"><code data-end=\"80\" data-start=\"54\">1 <= nums[i] <= 10<sup>9</sup></code></li>\n\t<li data-end=\"120\" data-start=\"85\"><code data-end=\"118\" data-start=\"85\">1 <= queries.length <= 5 * 10<sup>4</sup></code></li>\n\t<li data-end=\"195\" data-start=\"123\"><code data-end=\"193\" data-is-only-node=\"\" data-start=\"155\">queries[i] = [l<sub>i</sub>, r<sub>i</sub>, threshold<sub>i</sub>]</code></li>\n\t<li data-end=\"221\" data-start=\"198\"><code data-end=\"219\" data-start=\"198\">0 <= l<sub>i</sub> <= r<sub>i</sub> < n</code></li>\n\t<li data-end=\"259\" data-is-last-node=\"\" data-start=\"224\"><code data-end=\"259\" data-is-last-node=\"\" data-start=\"224\">1 <= threshold<sub>i</sub> <= r<sub>i</sub> - l<sub>i</sub> + 1</code></li>\n</ul>\n",
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"translatedTitle": "查询超过阈值频率最高元素",
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"translatedContent": "<p>给你一个长度为 <code>n</code> 的整数数组 <code>nums</code> 和一个查询数组 <code>queries</code>,其中 <code>queries[i] = [l<sub>i</sub>, r<sub>i</sub>, threshold<sub>i</sub>]</code>。</p>\n\n<p>返回一个整数数组 <code data-end=\"33\" data-start=\"28\">ans</code>,其中 <code data-end=\"48\" data-start=\"40\">ans[i]</code> 等于子数组 <code data-end=\"102\" data-start=\"89\">nums[l<sub>i</sub>...r<sub>i</sub>]</code> 中出现 <strong>至少</strong> <code data-end=\"137\" data-start=\"125\">threshold<sub>i</sub></code> 次的元素,选择频率 <strong>最高 </strong>的元素(如果频率相同则选择 <strong>最小 </strong>的元素),如果不存在这样的元素则返回 -1。</p>\n\n<p> </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\">nums = [1,1,2,2,1,1], queries = [[0,5,4],[0,3,3],[2,3,2]]</span></p>\n\n<p><strong>输出:</strong> <span class=\"example-io\">[1,-1,2]</span></p>\n\n<p><strong>解释:</strong></p>\n\n<table style=\"border: 1px solid black;\">\n\t<thead>\n\t\t<tr>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">查询</th>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">子数组</th>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">阈值</th>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">频率表</th>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">答案</th>\n\t\t</tr>\n\t</thead>\n\t<tbody>\n\t\t<tr>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[0, 5, 4]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[1, 1, 2, 2, 1, 1]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">4</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">1 → 4, 2 → 2</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">1</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[0, 3, 3]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[1, 1, 2, 2]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">3</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">1 → 2, 2 → 2</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">-1</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[2, 3, 2]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[2, 2]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">2</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">2 → 2</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">2</td>\n\t\t</tr>\n\t</tbody>\n</table>\n</div>\n\n<p> </p>\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\">nums = [3,2,3,2,3,2,3], queries = [[0,6,4],[1,5,2],[2,4,1],[3,3,1]]</span></p>\n\n<p><strong>输出:</strong><span class=\"example-io\">[3,2,3,2]</span></p>\n\n<p><strong>解释:</strong></p>\n\n<table style=\"border: 1px solid black;\">\n\t<thead>\n\t\t<tr>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">查询</th>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">子数组</th>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">阈值</th>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">频率表</th>\n\t\t\t<th align=\"left\" style=\"border: 1px solid black;\">答案</th>\n\t\t</tr>\n\t</thead>\n\t<tbody>\n\t\t<tr>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[0, 6, 4]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[3, 2, 3, 2, 3, 2, 3]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">4</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">3 → 4, 2 → 3</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">3</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[1, 5, 2]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[2, 3, 2, 3, 2]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">2</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">2 → 3, 3 → 2</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">2</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[2, 4, 1]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[3, 2, 3]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">1</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">3 → 2, 2 → 1</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">3</td>\n\t\t</tr>\n\t\t<tr>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[3, 3, 1]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">[2]</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">1</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">2 → 1</td>\n\t\t\t<td align=\"left\" style=\"border: 1px solid black;\">2</td>\n\t\t</tr>\n\t</tbody>\n</table>\n</div>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li data-end=\"51\" data-start=\"19\"><code data-end=\"49\" data-start=\"19\">1 <= nums.length == n <= 10<sup>4</sup></code></li>\n\t<li data-end=\"82\" data-start=\"54\"><code data-end=\"80\" data-start=\"54\">1 <= nums[i] <= 10<sup>9</sup></code></li>\n\t<li data-end=\"120\" data-start=\"85\"><code data-end=\"118\" data-start=\"85\">1 <= queries.length <= 5 * 10<sup>4</sup></code></li>\n\t<li data-end=\"195\" data-start=\"123\"><code data-end=\"193\" data-is-only-node=\"\" data-start=\"155\">queries[i] = [l<sub>i</sub>, r<sub>i</sub>, threshold<sub>i</sub>]</code></li>\n\t<li data-end=\"221\" data-start=\"198\"><code data-end=\"219\" data-start=\"198\">0 <= l<sub>i</sub> <= r<sub>i</sub> < n</code></li>\n\t<li data-end=\"259\" data-is-last-node=\"\" data-start=\"224\"><code data-end=\"259\" data-is-last-node=\"\" data-start=\"224\">1 <= threshold<sub>i</sub> <= r<sub>i</sub> - l<sub>i</sub> + 1</code></li>\n</ul>\n",
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"code": "class Solution {\n func subarrayMajority(nums: Array<Int64>, queries: Array<Array<Int64>>): Array<Int64> {\n\n }\n}",
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"__typename": "CodeSnippetNode"
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"hints": [
|
|
"Use sqrt decomposition: let <code>B = int(sqrt(n))</code> and sort queries by <code>(l//B, r)</code>",
|
|
"Maintain window <code>[L,R]</code> with a frequency map <code>cnt</code> and buckets <code>bucket[f]</code> of values at count <code>f</code>",
|
|
"Slide <code>L</code> and <code>R</code> per query, updating <code>cnt</code> and <code>bucket</code>, then scan from <code>threshold</code> to max freq to find the smallest valid value or -1"
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],
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"solution": null,
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"sampleTestCase": "[1,1,2,2,1,1]\n[[0,5,4],[0,3,3],[2,3,2]]",
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"metaData": "{\n \"name\": \"subarrayMajority\",\n \"params\": [\n {\n \"name\": \"nums\",\n \"type\": \"integer[]\"\n },\n {\n \"type\": \"integer[][]\",\n \"name\": \"queries\"\n }\n ],\n \"return\": {\n \"type\": \"integer[]\"\n }\n}",
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