# 1354. Construct Target Array With Multiple Sums

Given an array of integers `target`. From a starting array, `A` consisting of all 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 < target.size` and set the value of `A` 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 `A` otherwise return False.

Example 1:

```Input: target = [9,3,5]
Output: true
[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 <= target.length <= 5 * 10^4`
• `1 <= target[i] <= 10^9`

Hard

Normal

Quora

### Solution(Chinese):

LEETCODE 1354. Construct Target Array With Multiple Sums 解题思路分析