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| 1 | +# 1013. 将数组分成和相等的三个部分 |
| 2 | + |
| 3 | + |
| 4 | + |
| 5 | +[url](https://leetcode-cn.com/problems/partition-array-into-three-parts-with-equal-sum/) |
| 6 | + |
| 7 | + |
| 8 | +## 题目 |
| 9 | +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。 |
| 10 | + |
| 11 | +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。 |
| 12 | + |
| 13 | + |
| 14 | +``` |
| 15 | +输入:[0,2,1,-6,6,-7,9,1,2,0,1] |
| 16 | +输出:true |
| 17 | +解释:0 + 2 + 1 = -6 + 6 - 7 + 9 + 1 = 2 + 0 + 1 |
| 18 | +输入:[0,2,1,-6,6,7,9,-1,2,0,1] |
| 19 | +输出:false |
| 20 | +输入:[3,3,6,5,-2,2,5,1,-9,4] |
| 21 | +输出:true |
| 22 | +解释:3 + 3 = 6 = 5 - 2 + 2 + 5 + 1 - 9 + 4 |
| 23 | +``` |
| 24 | + |
| 25 | + |
| 26 | +## 方法 |
| 27 | + |
| 28 | + |
| 29 | +## code |
| 30 | + |
| 31 | +### js |
| 32 | + |
| 33 | +```js |
| 34 | +let canThreePartsEqualSum = A => { |
| 35 | + let sum = 0; |
| 36 | + // 遍历数组求和 |
| 37 | + A.forEach(num => sum += num); |
| 38 | + // 数组A的和如果不能被3整除直接返回false |
| 39 | + if (sum % 3 !== 0) |
| 40 | + return false; |
| 41 | + // 遍历数组累加,每累加到目标值cnt加1, 表示又找到了1段 |
| 42 | + sum = Math.floor(sum / 3); |
| 43 | + let curSum = 0, cnt = 0; |
| 44 | + for (let val of A) { |
| 45 | + curSum += val; |
| 46 | + if (curSum === sum) { |
| 47 | + cnt++; |
| 48 | + curSum = 0; |
| 49 | + } |
| 50 | + } |
| 51 | + return cnt === 3 || (cnt > 3 && sum === 0); |
| 52 | +}; |
| 53 | +console.log(canThreePartsEqualSum([0,2,1,-6,6,-7,9,1,2,0,1])); |
| 54 | +console.log(canThreePartsEqualSum([0,2,1,-6,6,7,9,-1,2,0,1])); |
| 55 | +console.log(canThreePartsEqualSum([3,3,6,5,-2,2,5,1,-9,4])); |
| 56 | +``` |
| 57 | + |
| 58 | +### go |
| 59 | + |
| 60 | +```go |
| 61 | +func canThreePartsEqualSum(A []int) bool { |
| 62 | + sum := 0 |
| 63 | + // 遍历数组求总和 |
| 64 | + for _, v := range A { |
| 65 | + sum += v |
| 66 | + } |
| 67 | + // 数组A的和如果不能被3整除直接返回false |
| 68 | + if sum%3 != 0 { |
| 69 | + return false |
| 70 | + } |
| 71 | + // 遍历数组累加,每累加到目标值cnt加1,表示又找到1段 |
| 72 | + sum /= 3 |
| 73 | + curSum, cnt := 0, 0 |
| 74 | + for _, v := range A { |
| 75 | + curSum += v |
| 76 | + if curSum == sum { |
| 77 | + cnt++ |
| 78 | + curSum = 0 |
| 79 | + } |
| 80 | + } |
| 81 | + // 最后判断是否找到了3段(注意如果目标值是0的话可以大于3段) |
| 82 | + return cnt == 3 || (cnt > 3 && sum == 0) |
| 83 | +} |
| 84 | +``` |
| 85 | + |
| 86 | +### java |
| 87 | + |
| 88 | +```java |
| 89 | +class Solution { |
| 90 | + public boolean canThreePartsEqualSum(int[] A) { |
| 91 | + int sum = 0; |
| 92 | + // 遍历数组求总和 |
| 93 | + for (int num : A) { |
| 94 | + sum += num; |
| 95 | + } |
| 96 | + // 数组A的和如果不能被3整除直接返回false |
| 97 | + if (sum % 3 != 0) { |
| 98 | + return false; |
| 99 | + } |
| 100 | + // 遍历数组累加,每累加到目标值cnt加1,表示又找到1段 |
| 101 | + sum /= 3; |
| 102 | + int curSum = 0, cnt = 0; |
| 103 | + for (int i = 0; i < A.length; i++) { |
| 104 | + curSum += A[i]; |
| 105 | + if (curSum == sum) { |
| 106 | + cnt++; |
| 107 | + curSum = 0; |
| 108 | + } |
| 109 | + } |
| 110 | + // 最后判断是否找到了3段(注意如果目标值是0的话可以大于3段) |
| 111 | + return cnt == 3 || (cnt > 3 && sum == 0); |
| 112 | + } |
| 113 | +} |
| 114 | +``` |
| 115 | + |
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