mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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156 lines
15 KiB
JSON
156 lines
15 KiB
JSON
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"title": "Maximum Product Difference Between Two Pairs",
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"content": "<p>The <strong>product difference</strong> between two pairs <code>(a, b)</code> and <code>(c, d)</code> is defined as <code>(a * b) - (c * d)</code>.</p>\r\n\r\n<ul>\r\n\t<li>For example, the product difference between <code>(5, 6)</code> and <code>(2, 7)</code> is <code>(5 * 6) - (2 * 7) = 16</code>.</li>\r\n</ul>\r\n\r\n<p>Given an integer array <code>nums</code>, choose four <strong>distinct</strong> indices <code>w</code>, <code>x</code>, <code>y</code>, and <code>z</code> such that the <strong>product difference</strong> between pairs <code>(nums[w], nums[x])</code> and <code>(nums[y], nums[z])</code> is <strong>maximized</strong>.</p>\r\n\r\n<p>Return <em>the <strong>maximum</strong> such product difference</em>.</p>\r\n\r\n<p> </p>\r\n<p><strong>Example 1:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> nums = [5,6,2,7,4]\r\n<strong>Output:</strong> 34\r\n<strong>Explanation:</strong> We can choose indices 1 and 3 for the first pair (6, 7) and indices 2 and 4 for the second pair (2, 4).\r\nThe product difference is (6 * 7) - (2 * 4) = 34.\r\n</pre>\r\n\r\n<p><strong>Example 2:</strong></p>\r\n\r\n<pre>\r\n<strong>Input:</strong> nums = [4,2,5,9,7,4,8]\r\n<strong>Output:</strong> 64\r\n<strong>Explanation:</strong> We can choose indices 3 and 6 for the first pair (9, 8) and indices 1 and 5 for the second pair (2, 4).\r\nThe product difference is (9 * 8) - (2 * 4) = 64.\r\n</pre>\r\n\r\n<p> </p>\r\n<p><strong>Constraints:</strong></p>\r\n\r\n<ul>\r\n\t<li><code>4 <= nums.length <= 10<sup>4</sup></code></li>\r\n\t<li><code>1 <= nums[i] <= 10<sup>4</sup></code></li>\r\n</ul>",
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"If you only had to find the maximum product of 2 numbers in an array, which 2 numbers should you choose?",
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"We only need to worry about 4 numbers in the array."
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