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3948. Lexicographically Maximum MEX Array

Description

You are given an integer array nums.

You want to construct an array result by repeatedly performing the following operation until nums becomes empty:

  • Choose an integer k such that 1 <= k <= len(nums).
  • Compute the MEX of the first k elements of nums.
  • Append this MEX to result.
  • Remove the first k elements from nums.

Return the lexicographically maximum array result that can be obtained after performing the operations.

The MEX of an array is the smallest non-negative integer not present in the array.

An array a is lexicographically greater than an array b if in the first position where a and b differ, array a has an element that is greater than the corresponding element in b. If the first min(a.length, b.length) elements do not differ, then the longer array is the lexicographically greater one.

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Example 1:

Input: nums = [0,1,0]

Output: [2,1]

Explanation:

  • Take the first k = 2 elements [0, 1] which has MEX = 2. Current result = [2].
  • Remaining array [0] has MEX = 1. Thus, the final result = [2, 1].

Example 2:

Input: nums = [1,0,2]

Output: [3]

Explanation:

  • Take the first k = 3 elements [1, 0, 2] which has MEX = 3.
  • nums is now empty. Thus, the final result = [3].

Example 3:

Input: nums = [3,1]

Output: [0,0]

Explanation:​​​​​​​

  • Take k = 1, first element [3] has MEX = 0. Current result = [0].
  • Remaining array [1] has MEX = 0. Thus, the final result = [0, 0].

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Constraints:

  • 1 <= nums.length <= 105
  • 0 <= nums[i] <= 105

Solutions

Solution 1

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