The Target Sum Ways problem requires finding the number of different ways to assign either a '+' or '-' sign to each element in a given integer array such that the resulting expression equals a given target value. Every element must be used exactly once, and the order of elements cannot be changed. The task is to return the total number of possible ways to reach the target.
Example 1
Input: nums = [1,1,1,1,1], target = 3
Output: 5
Explanation: There are five different ways to assign '+' and '-' signs to make the sum equal to 3.
Example 2
Input: nums = [1], target = 1
Output: 1
Explanation: Only one way exists: +1 equals 1.
Example 3
Input: nums = [2,1], target = 1
Output: 1
Explanation: One valid way is +2 -1 = 1. No other sign combination produces the target.
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