LeetCode-in-All

416. Partition Equal Subset Sum

Medium

Given a non-empty array nums containing only positive integers, find if the array can be partitioned into two subsets such that the sum of elements in both subsets is equal.

Example 1:

Input: nums = [1,5,11,5]

Output: true

Explanation: The array can be partitioned as [1, 5, 5] and [11].

Example 2:

Input: nums = [1,2,3,5]

Output: false

Explanation: The array cannot be partitioned into equal sum subsets.

Constraints:

• 1 <= nums.length <= 200
• 1 <= nums[i] <= 100

Solution

class Solution:
    def canPartition(self, nums: List[int]) -> bool:
        sums = sum(nums)
        if sums % 2 == 1:
            return False
        sums //= 2
        dp = [False] * (sums + 1)
        dp[0] = True
        for num in nums:
            for i in range(sums, num - 1, -1):
                dp[i] = dp[i] or dp[i - num]
        return dp[sums]

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