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Check if it is Possible to Split Array

You are given an array nums of length n and an integer m.

You are given an array nums of length n and an integer m. You need to determine if it is possible to split the array into n arrays of size 1 by performing a series of steps.

An array is called good if:

In each step, you can select an existing array (which may be the result of previous steps) with a length of at least two and split it into two arrays, if both resulting arrays are good.

Return true if you can split the given array into n arrays, otherwise return false.

Check if it is Possible to Split Array diagram

Example 1

Input: nums = [2, 2, 1], m = 4

Output: true

Example 2

Input: nums = [2, 1, 3], m = 5

Output: false

Explanation: The first move has to be either of the following: So as both moves are invalid (they do not divide the array into two good arrays), we are unable to split nums into n arrays of size 1.

Example 3

Input: nums = [2, 3, 3, 2, 3], m = 6

Output: true

Constraints

  • 1 <= n == nums.length <= 100
  • 1 <= nums[i] <= 100
  • 1 <= m <= 200

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