Package g3001_3100.s3072_distribute_elements_into_two_arrays_ii

Class Solution

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public final class Solution

    3072 - Distribute Elements Into Two Arrays II\.

    Hard

    You are given a 1-indexed array of integers nums of length n.

    We define a function greaterCount such that greaterCount(arr, val) returns the number of elements in arr that are strictly greater than val.

    You need to distribute all the elements of nums between two arrays arr1 and arr2 using n operations. In the first operation, append nums[1] to arr1. In the second operation, append nums[2] to arr2. Afterwards, in the <code>i<sup>th</sup></code> operation:

    • If greaterCount(arr1, nums[i]) &gt; greaterCount(arr2, nums[i]), append nums[i] to arr1.

    • If greaterCount(arr1, nums[i]) &lt; greaterCount(arr2, nums[i]), append nums[i] to arr2.

    • If greaterCount(arr1, nums[i]) == greaterCount(arr2, nums[i]), append nums[i] to the array with a lesser number of elements.

    • If there is still a tie, append nums[i] to arr1.

    The array result is formed by concatenating the arrays arr1 and arr2. For example, if arr1 == [1,2,3] and arr2 == [4,5,6], then result = [1,2,3,4,5,6].

    Return the integer array result.

    Example 1:

    Input: nums = 2,1,3,3

    Output: 2,3,1,3

    Explanation: After the first 2 operations, arr1 = 2 and arr2 = 1.

    In 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 nums3 to arr1. In 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 nums4 to arr2.

    After 4 operations, arr1 = 2,3 and arr2 = 1,3. Hence, the array result formed by concatenation is 2,3,1,3.

    Example 2:

    Input: nums = 5,14,3,1,2

    Output: 5,3,1,2,14

    Explanation: After the first 2 operations, arr1 = 5 and arr2 = 14.

    In 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 nums3 to arr1.

    In the 4<sup>th</sup> operation, the number of elements greater than 1 is greater in arr1 than arr2 (2 > 1). Hence, append nums4 to arr1. In the 5<sup>th</sup> operation, the number of elements greater than 2 is greater in arr1 than arr2 (2 > 1). Hence, append nums5 to arr1.

    zAfter 5 operations, arr1 = 5,3,1,2 and arr2 = 14. Hence, the array result formed by concatenation is 5,3,1,2,14.

    Example 3:

    Input: nums = 3,3,3,3

    Output: 3,3,3,3

    Explanation: At the end of 4 operations, arr1 = 3,3 and arr2 = 3,3. Hence, the array result formed by concatenation is 3,3,3,3.

    Constraints:

    • <code>3 <= n <= 10<sup>5</sup></code>

    • <code>1 <= numsi<= 10<sup>9</sup></code>

    • Nested Class Summary

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      Modifier and Type Class Description

    • Field Summary

      Fields 
      Modifier and Type Field Description

    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()

    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description

    • Method Summary

      Modifier and Type Method Description
      final IntArray resultArray(IntArray source)

      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait