mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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202 lines
26 KiB
JSON
202 lines
26 KiB
JSON
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"questionId": "3894",
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"categoryTitle": "Algorithms",
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"title": "Maximize Y‑Sum by Picking a Triplet of Distinct X‑Values",
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"content": "<p>You are given two integer arrays <code>x</code> and <code>y</code>, each of length <code>n</code>. You must choose three <strong>distinct</strong> indices <code>i</code>, <code>j</code>, and <code>k</code> such that:</p>\n\n<ul>\n\t<li><code>x[i] != x[j]</code></li>\n\t<li><code>x[j] != x[k]</code></li>\n\t<li><code>x[k] != x[i]</code></li>\n</ul>\n\n<p>Your goal is to <strong>maximize</strong> the value of <code>y[i] + y[j] + y[k]</code> under these conditions. Return the <strong>maximum</strong> possible sum that can be obtained by choosing such a triplet of indices.</p>\n\n<p>If no such triplet exists, return -1.</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\">x = [1,2,1,3,2], y = [5,3,4,6,2]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">14</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>Choose <code>i = 0</code> (<code>x[i] = 1</code>, <code>y[i] = 5</code>), <code>j = 1</code> (<code>x[j] = 2</code>, <code>y[j] = 3</code>), <code>k = 3</code> (<code>x[k] = 3</code>, <code>y[k] = 6</code>).</li>\n\t<li>All three values chosen from <code>x</code> are distinct. <code>5 + 3 + 6 = 14</code> is the maximum we can obtain. Hence, the output is 14.</li>\n</ul>\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\">x = [1,2,1,2], y = [4,5,6,7]</span></p>\n\n<p><strong>Output:</strong> <span class=\"example-io\">-1</span></p>\n\n<p><strong>Explanation:</strong></p>\n\n<ul>\n\t<li>There are only two distinct values in <code>x</code>. Hence, the output is -1.</li>\n</ul>\n</div>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>n == x.length == y.length</code></li>\n\t<li><code>3 <= n <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= x[i], y[i] <= 10<sup>6</sup></code></li>\n</ul>\n",
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"translatedTitle": "选择不同 X 值三元组使 Y 值之和最大",
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"translatedContent": "<p>给你两个整数数组 <code>x</code> 和 <code>y</code>,长度均为 <code>n</code>。你必须选择三个 <strong>不同 </strong>的下标 <code>i</code> ,<code>j</code> 和 <code>k</code>,满足以下条件:</p>\n\n<ul>\n\t<li><code>x[i] != x[j]</code></li>\n\t<li><code>x[j] != x[k]</code></li>\n\t<li><code>x[k] != x[i]</code></li>\n</ul>\n\n<p>你的目标是在满足这些条件下 <strong>最大化</strong> <code>y[i] + y[j] + y[k]</code> 的值。返回通过选择这样一组三元组下标所能获得的 <strong>最大 </strong>可能和。</p>\n\n<p>如果不存在这样的三元组,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\">x = [1,2,1,3,2], y = [5,3,4,6,2]</span></p>\n\n<p><strong>输出:</strong><span class=\"example-io\">14</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li>选择 <code>i = 0</code>(<code>x[i] = 1</code>,<code>y[i] = 5</code>),<code>j = 1</code>(<code>x[j] = 2</code>,<code>y[j] = 3</code>),<code>k = 3</code>(<code>x[k] = 3</code>,<code>y[k] = 6</code>)。</li>\n\t<li>选出的三个 <code>x</code> 中的值互不相同。<code>5 + 3 + 6 = 14</code> 是我们能获得的最大值。因此输出为 14。</li>\n</ul>\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\">x = [1,2,1,2], y = [4,5,6,7]</span></p>\n\n<p><strong>输出:</strong><span class=\"example-io\">-1</span></p>\n\n<p><strong>解释:</strong></p>\n\n<ul>\n\t<li><code>x</code> 中只有两个不同的值。因此输出为 -1。</li>\n</ul>\n</div>\n\n<p> </p>\n\n<p><strong>提示:</strong></p>\n\n<ul>\n\t<li><code>n == x.length == y.length</code></li>\n\t<li><code>3 <= n <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= x[i], y[i] <= 10<sup>6</sup></code></li>\n</ul>\n",
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"For each unique <code>x</code>, keep only the maximum <code>y</code>; all other pairs with the same <code>x</code> are redundant.",
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