1354 - Construct Target Array With Multiple Sums\.

Hard

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 :

• let x be the sum of all elements currently in your array.

• choose index i, such that 0 <= i < n and set the value of arr at index i to x.

• You may repeat this procedure as many times as needed.

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

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

• <code>1 <= n <= 5 * 10⁴</code>

• <code>1 <= targeti<= 10⁹</code>