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Construct Target Array With Multiple Sums

You are given an array target of n integers.

You are given an array target of n integers. From a starting array arr consisting of n 1's, you may perform the following procedure :

Return true if it is possible to construct the target array from arr, otherwise, return false.

Construct Target Array With Multiple Sums diagram

Example 1

Input: target = [9,3,5]

Output: true

Explanation: Start with arr = [1, 1, 1] [1, 1, 1], sum = 3 choose index 1 [1, 3, 1], sum = 5 choose index 2 [1, 3, 5], sum = 9 choose index 0 [9, 3, 5] Done

Example 2

Input: target = [1,1,1,2]

Output: false

Explanation: Impossible to create target array from [1,1,1,1].

Example 3

Input: target = [8,5]

Output: true

Constraints

  • n == target.length
  • 1 <= n <= 5 * 10^4
  • 1 <= target[i] <= 10^9

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