给你一个整数数组 A,只有可以将其划分为三个和相等的非空部分时才返回 true,否则返回 false。
形式上,如果可以找出索引 i+1 < j 且满足 A[0] + A[1] + … + A[i] == A[i+1] + A[i+2] + … + A[j-1] == A[j] + A[j-1] + … + A[A.length – 1] 就可以将数组三等分。
示例 1:
输入:[0,2,1,-6,6,-7,9,1,2,0,1]
输出:true
解释:0 + 2 + 1 = -6 + 6 – 7 + 9 + 1 = 2 + 0 + 1
示例 2:
输入:[0,2,1,-6,6,7,9,-1,2,0,1]
输出:false
示例 3:
输入:[3,3,6,5,-2,2,5,1,-9,4]
输出:true
解释:3 + 3 = 6 = 5 – 2 + 2 + 5 + 1 – 9 + 4
提示:
- 3 <= A.length <= 50000
- -10^4 <= A[i] <= 10^4
Python 解答:
class Solution:
def canThreePartsEqualSum(self, arr: List[int]) -> bool:
total = sum(arr)
if total % 3 != 0:
return False
else:
i = 0
count = 0
temp = 0
while i < len(arr):
temp += arr[i]
if temp == (total // 3):
temp = 0
count += 1
if count == 2 and i+1 < len(arr):
return True
i += 1
return False
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