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52 lines
2.1 KiB
HTML
52 lines
2.1 KiB
HTML
<p>You are given an integer array <code>nums</code> with a length divisible by 3.</p>
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<p>You want to make the array empty in steps. In each step, you can select any three elements from the array, compute their <strong>median</strong>, and remove the selected elements from the array.</p>
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<p>The <strong>median</strong> of an odd-length sequence is defined as the middle element of the sequence when it is sorted in non-decreasing order.</p>
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<p>Return the <strong>maximum</strong> possible sum of the medians computed from the selected elements.</p>
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<p> </p>
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<p><strong class="example">Example 1:</strong></p>
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<div class="example-block">
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<p><strong>Input:</strong> <span class="example-io">nums = [2,1,3,2,1,3]</span></p>
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<p><strong>Output:</strong> <span class="example-io">5</span></p>
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<p><strong>Explanation:</strong></p>
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<ul>
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<li>In the first step, select elements at indices 2, 4, and 5, which have a median 3. After removing these elements, <code>nums</code> becomes <code>[2, 1, 2]</code>.</li>
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<li>In the second step, select elements at indices 0, 1, and 2, which have a median 2. After removing these elements, <code>nums</code> becomes empty.</li>
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</ul>
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<p>Hence, the sum of the medians is <code>3 + 2 = 5</code>.</p>
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</div>
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<p><strong class="example">Example 2:</strong></p>
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<div class="example-block">
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<p><strong>Input:</strong> <span class="example-io">nums = [1,1,10,10,10,10]</span></p>
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<p><strong>Output:</strong> <span class="example-io">20</span></p>
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<p><strong>Explanation:</strong></p>
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<ul>
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<li>In the first step, select elements at indices 0, 2, and 3, which have a median 10. After removing these elements, <code>nums</code> becomes <code>[1, 10, 10]</code>.</li>
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<li>In the second step, select elements at indices 0, 1, and 2, which have a median 10. After removing these elements, <code>nums</code> becomes empty.</li>
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</ul>
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<p>Hence, the sum of the medians is <code>10 + 10 = 20</code>.</p>
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</div>
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<p> </p>
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<p><strong>Constraints:</strong></p>
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<ul>
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<li><code>1 <= nums.length <= 5 * 10<sup>5</sup></code></li>
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<li><code>nums.length % 3 == 0</code></li>
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<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>
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</ul>
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