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leetcode-problemset/leetcode-cn/problem (English)/查询超过阈值频率最高元素(English) [threshold-majority-queries].html
2025-08-10 21:35:14 +08:00

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<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>
<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>
<p>&nbsp;</p>
<p><strong class="example">Example 1:</strong></p>
<div class="example-block">
<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>
<p><strong>Output:</strong> <span class="example-io">[1,-1,2]</span></p>
<p><strong>Explanation:</strong></p>
<table style="border: 1px solid black;">
<thead>
<tr>
<th align="left" style="border: 1px solid black;">Query</th>
<th align="left" style="border: 1px solid black;">Sub-array</th>
<th align="left" style="border: 1px solid black;">Threshold</th>
<th align="left" style="border: 1px solid black;">Frequency table</th>
<th align="left" style="border: 1px solid black;">Answer</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" style="border: 1px solid black;">[0, 5, 4]</td>
<td align="left" style="border: 1px solid black;">[1, 1, 2, 2, 1, 1]</td>
<td align="left" style="border: 1px solid black;">4</td>
<td align="left" style="border: 1px solid black;">1 &rarr; 4, 2 &rarr; 2</td>
<td align="left" style="border: 1px solid black;">1</td>
</tr>
<tr>
<td align="left" style="border: 1px solid black;">[0, 3, 3]</td>
<td align="left" style="border: 1px solid black;">[1, 1, 2, 2]</td>
<td align="left" style="border: 1px solid black;">3</td>
<td align="left" style="border: 1px solid black;">1 &rarr; 2, 2 &rarr; 2</td>
<td align="left" style="border: 1px solid black;">-1</td>
</tr>
<tr>
<td align="left" style="border: 1px solid black;">[2, 3, 2]</td>
<td align="left" style="border: 1px solid black;">[2, 2]</td>
<td align="left" style="border: 1px solid black;">2</td>
<td align="left" style="border: 1px solid black;">2 &rarr; 2</td>
<td align="left" style="border: 1px solid black;">2</td>
</tr>
</tbody>
</table>
</div>
<p><strong class="example">Example 2:</strong></p>
<div class="example-block">
<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>
<p><strong>Output:</strong> <span class="example-io">[3,2,3,2]</span></p>
<p><strong>Explanation:</strong></p>
<table style="border: 1px solid black;">
<thead>
<tr>
<th align="left" style="border: 1px solid black;">Query</th>
<th align="left" style="border: 1px solid black;">Sub-array</th>
<th align="left" style="border: 1px solid black;">Threshold</th>
<th align="left" style="border: 1px solid black;">Frequency table</th>
<th align="left" style="border: 1px solid black;">Answer</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" style="border: 1px solid black;">[0, 6, 4]</td>
<td align="left" style="border: 1px solid black;">[3, 2, 3, 2, 3, 2, 3]</td>
<td align="left" style="border: 1px solid black;">4</td>
<td align="left" style="border: 1px solid black;">3 &rarr; 4, 2 &rarr; 3</td>
<td align="left" style="border: 1px solid black;">3</td>
</tr>
<tr>
<td align="left" style="border: 1px solid black;">[1, 5, 2]</td>
<td align="left" style="border: 1px solid black;">[2, 3, 2, 3, 2]</td>
<td align="left" style="border: 1px solid black;">2</td>
<td align="left" style="border: 1px solid black;">2 &rarr; 3, 3 &rarr; 2</td>
<td align="left" style="border: 1px solid black;">2</td>
</tr>
<tr>
<td align="left" style="border: 1px solid black;">[2, 4, 1]</td>
<td align="left" style="border: 1px solid black;">[3, 2, 3]</td>
<td align="left" style="border: 1px solid black;">1</td>
<td align="left" style="border: 1px solid black;">3 &rarr; 2, 2 &rarr; 1</td>
<td align="left" style="border: 1px solid black;">3</td>
</tr>
<tr>
<td align="left" style="border: 1px solid black;">[3, 3, 1]</td>
<td align="left" style="border: 1px solid black;">[2]</td>
<td align="left" style="border: 1px solid black;">1</td>
<td align="left" style="border: 1px solid black;">2 &rarr; 1</td>
<td align="left" style="border: 1px solid black;">2</td>
</tr>
</tbody>
</table>
</div>
<p>&nbsp;</p>
<p><strong>Constraints:</strong></p>
<ul>
<li data-end="51" data-start="19"><code data-end="49" data-start="19">1 &lt;= nums.length == n &lt;= 10<sup>4</sup></code></li>
<li data-end="82" data-start="54"><code data-end="80" data-start="54">1 &lt;= nums[i] &lt;= 10<sup>9</sup></code></li>
<li data-end="120" data-start="85"><code data-end="118" data-start="85">1 &lt;= queries.length &lt;= 5 * 10<sup>4</sup></code></li>
<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>
<li data-end="221" data-start="198"><code data-end="219" data-start="198">0 &lt;= l<sub>i</sub> &lt;= r<sub>i</sub> &lt; n</code></li>
<li data-end="259" data-is-last-node="" data-start="224"><code data-end="259" data-is-last-node="" data-start="224">1 &lt;= threshold<sub>i</sub> &lt;= r<sub>i</sub> - l<sub>i</sub> + 1</code></li>
</ul>