mirror of
https://gitee.com/coder-xiaomo/leetcode-problemset
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186 lines
19 KiB
JSON
186 lines
19 KiB
JSON
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"title": "Distribute Elements Into Two Arrays II",
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"content": "<p>You are given a <strong>1-indexed</strong> array of integers <code>nums</code> of length <code>n</code>.</p>\n\n<p>We define a function <code>greaterCount</code> such that <code>greaterCount(arr, val)</code> returns the number of elements in <code>arr</code> that are <strong>strictly greater</strong> than <code>val</code>.</p>\n\n<p>You need to distribute all the elements of <code>nums</code> between two arrays <code>arr1</code> and <code>arr2</code> using <code>n</code> operations. In the first operation, append <code>nums[1]</code> to <code>arr1</code>. In the second operation, append <code>nums[2]</code> to <code>arr2</code>. Afterwards, in the <code>i<sup>th</sup></code> operation:</p>\n\n<ul>\n\t<li>If <code>greaterCount(arr1, nums[i]) > greaterCount(arr2, nums[i])</code>, append <code>nums[i]</code> to <code>arr1</code>.</li>\n\t<li>If <code>greaterCount(arr1, nums[i]) < greaterCount(arr2, nums[i])</code>, append <code>nums[i]</code> to <code>arr2</code>.</li>\n\t<li>If <code>greaterCount(arr1, nums[i]) == greaterCount(arr2, nums[i])</code>, append <code>nums[i]</code> to the array with a <strong>lesser</strong> number of elements.</li>\n\t<li>If there is still a tie, append <code>nums[i]</code> to <code>arr1</code>.</li>\n</ul>\n\n<p>The array <code>result</code> is formed by concatenating the arrays <code>arr1</code> and <code>arr2</code>. For example, if <code>arr1 == [1,2,3]</code> and <code>arr2 == [4,5,6]</code>, then <code>result = [1,2,3,4,5,6]</code>.</p>\n\n<p>Return <em>the integer array</em> <code>result</code>.</p>\n\n<p> </p>\n<p><strong class=\"example\">Example 1:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [2,1,3,3]\n<strong>Output:</strong> [2,3,1,3]\n<strong>Explanation:</strong> After the first 2 operations, arr1 = [2] and arr2 = [1].\nIn the 3<sup>rd</sup> operation, the number of elements greater than 3 is zero in both arrays. Also, the lengths are equal, hence, append nums[3] to arr1.\nIn the 4<sup>th</sup> operation, the number of elements greater than 3 is zero in both arrays. As the length of arr2 is lesser, hence, append nums[4] to arr2.\nAfter 4 operations, arr1 = [2,3] and arr2 = [1,3].\nHence, the array result formed by concatenation is [2,3,1,3].\n</pre>\n\n<p><strong class=\"example\">Example 2:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [5,14,3,1,2]\n<strong>Output:</strong> [5,3,1,2,14]\n<strong>Explanation:</strong> After the first 2 operations, arr1 = [5] and arr2 = [14].\nIn the 3<sup>rd</sup> operation, the number of elements greater than 3 is one in both arrays. Also, the lengths are equal, hence, append nums[3] to arr1.\nIn the 4<sup>th</sup> operation, the number of elements greater than 1 is greater in arr1 than arr2 (2 > 1). Hence, append nums[4] to arr1.\nIn the 5<sup>th</sup> operation, the number of elements greater than 2 is greater in arr1 than arr2 (2 > 1). Hence, append nums[5] to arr1.\nAfter 5 operations, arr1 = [5,3,1,2] and arr2 = [14].\nHence, the array result formed by concatenation is [5,3,1,2,14].\n</pre>\n\n<p><strong class=\"example\">Example 3:</strong></p>\n\n<pre>\n<strong>Input:</strong> nums = [3,3,3,3]\n<strong>Output:</strong> [3,3,3,3]\n<strong>Explanation:</strong> At the end of 4 operations, arr1 = [3,3] and arr2 = [3,3].\nHence, the array result formed by concatenation is [3,3,3,3].\n</pre>\n\n<p> </p>\n<p><strong>Constraints:</strong></p>\n\n<ul>\n\t<li><code>3 <= n <= 10<sup>5</sup></code></li>\n\t<li><code>1 <= nums[i] <= 10<sup>9</sup></code></li>\n</ul>\n",
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"We need a data structure that counts the number of integers greater than a given value <code>x</code> and supports insertion.",
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