LintCode Q 1013 - Partition Array Into Three Parts With Equal Sum
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: [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: [0,2,1,-6,6,7,9,-1,2,0,1] ; Output: false
Example 3:Input: [3,3,6,5,-2,2,5,1,-9,4] ; Output: true
Explanation: 3 + 3 = 6 = 5 - 2 + 2 + 5 + 1 - 9 + 4
Note:
- 3 <= A.length <= 50000
- -10000 <= A[i] <= 10000
Solution
Code:
public int partitionDisjoint(int[] A) {
int sum = Arrays.stream(A).sum();
if (sum % 3 != 0) return false;
int currSum = 0, count = 0;
for (int num: A) {
currSum += num;
if (currSum == sum / 3) {
count++;
currSum = 0;
if (count == 3)
return true;
}
}
return false;
}