Leetcode Problem 416. Partition Equal Subset Sum

416. Partition Equal Subset Sum

Leetcode Solutions

Calculate the total sum of the input array nums.
If the total sum is odd, return false as we cannot partition the array into two subsets with equal sum.
Initialize a boolean array dp with a size of half_sum + 1, where half_sum is half of the total sum. Set dp[0] to true as a subset with sum 0 is always possible (empty subset).
Iterate over the numbers in the input array.
For each number, iterate backwards from half_sum to the number itself.
Update dp[j] to true if dp[j] is true or if dp[j - num] is true, where num is the current number in the array.
If dp[half_sum] is true, return true, indicating that we can partition the array into two subsets with equal sum.
If we finish iterating and dp[half_sum] is false, return false.

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