Formatted question description: https://leetcode.ca/all/1013.html

1013. Partition Array Into Three Parts With Equal Sum (Easy)

Given an array A of integers, return true if and only if we can partition the array into three non-empty parts with equal sums.

Formally, we can partition the array if we can find indexes i+1 < j with (A[0] + A[1] + ... + A[i] == A[i+1] + A[i+2] + ... + A[j-1] == A[j] + A[j-1] + ... + A[A.length - 1])

 

Example 1:

Input: A = [0,2,1,-6,6,-7,9,1,2,0,1]
Output: true
Explanation: 0 + 2 + 1 = -6 + 6 - 7 + 9 + 1 = 2 + 0 + 1

Example 2:

Input: A = [0,2,1,-6,6,7,9,-1,2,0,1]
Output: false

Example 3:

Input: A = [3,3,6,5,-2,2,5,1,-9,4]
Output: true
Explanation: 3 + 3 = 6 = 5 - 2 + 2 + 5 + 1 - 9 + 4

 

Constraints:

  • 3 <= A.length <= 50000
  • -10^4 <= A[i] <= 10^4

Related Topics:
Array

Solution 1.

// OJ: https://leetcode.com/problems/partition-array-into-three-parts-with-equal-sum/
// Time: O(N)
// Space: O(1)
class Solution {
public:
    bool canThreePartsEqualSum(vector<int>& A) {
        int total = accumulate(begin(A), end(A), 0), cnt = 0, sum = 0;
        if (total % 3) return false;
        total /= 3;
        for (int i = 0; i < A.size() - 1; ++i) {
            sum += A[i];
            if (sum == total) {
                sum = 0;
                ++cnt;
            }
            if (cnt == 2) return true;
        }
        return false;
    }
};

Java

  • class Solution {
        public boolean canThreePartsEqualSum(int[] A) {
            int sum = 0;
            for (int num : A)
                sum += num;
            if (sum % 3 != 0)
                return false;
            int partSum = sum / 3;
            int count = 0;
            int curSum = 0;
            int length = A.length;
            for (int i = 0; i < length; i++) {
                curSum += A[i];
                if (curSum == partSum * (count + 1))
                    count++;
            }
            return count >= 3;
        }
    }
    
  • // OJ: https://leetcode.com/problems/partition-array-into-three-parts-with-equal-sum/
    // Time: O(N)
    // Space: O(1)
    class Solution {
    public:
        bool canThreePartsEqualSum(vector<int>& A) {
            int total = accumulate(begin(A), end(A), 0), cnt = 0, sum = 0;
            if (total % 3) return false;
            total /= 3;
            for (int i = 0; i < A.size() - 1; ++i) {
                sum += A[i];
                if (sum == total) {
                    sum = 0;
                    ++cnt;
                }
                if (cnt == 2) return true;
            }
            return false;
        }
    };
    
  • class Solution(object):
        def numPairsDivisibleBy60(self, time):
            """
            :type time: List[int]
            :rtype: int
            """
            count = collections.Counter(time)
            key = list(count.keys())
            N = len(key)
            res = 0
            for i, t in enumerate(key):
                for j in range(i, N):
                    if (t + key[j]) % 60 == 0:
                        if i == j:
                            res += count[t] * (count[t] - 1) / 2
                        else:
                            res += count[t] * count[key[j]]
            return res
    

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