LeetCode in TypeScript

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:

Solution

function canPartition(nums: number[]): boolean {
    let sums: number = 0
    for (const num of nums) {
        sums += num
    }
    if (sums % 2 === 1) {
        return false
    }
    sums /= 2
    const dp: boolean[] = new Array(sums + 1).fill(false)
    dp[0] = true
    for (const num of nums) {
        for (let sum = sums; sum >= num; sum--) {
            dp[sum] = dp[sum] || dp[sum - num]
        }
    }
    return dp[sums]
}

export { canPartition }