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---
id: 5a23c84252665b21eecc7e84
title: 最重要的后续总和
challengeType: 5
videoUrl: ''
dashedName: greatest-subsequential-sum
---
# --description--
给定一个整数序列,找到一个连续的子序列,它最大化其元素的总和,也就是说,没有其他单个子序列的元素加起来大于这一个的值。空子序列被认为具有\\0 \\)的总和;因此,如果所有元素都是负数,则结果必须是空序列。
# --hints--
`maximumSubsequence`应该是一个函数。
```js
assert(typeof maximumSubsequence == 'function');
```
`maximumSubsequence("+JSON.stringify(tests[0])+")`应该返回一个数组。
```js
assert(Array.isArray(maximumSubsequence([1, 2, -1, 3, 10, -10])));
```
`maximumSubsequence("+JSON.stringify(tests[0])+")`应返回`"+JSON.stringify(results[0])+"`
```js
assert.deepEqual(maximumSubsequence([1, 2, -1, 3, 10, -10]), [1, 2, -1, 3, 10]);
```
`maximumSubsequence("+JSON.stringify(tests[1])+")`应返回`"+JSON.stringify(results[1])+"`
```js
assert.deepEqual(maximumSubsequence([0, 8, 10, -2, -4, -1, -5, -3]), [
0,
8,
10
]);
```
`maximumSubsequence("+JSON.stringify(tests[2])+")`应返回`"+JSON.stringify(results[2])+"`
```js
assert.deepEqual(maximumSubsequence([9, 9, -10, 1]), [9, 9]);
```
`maximumSubsequence("+JSON.stringify(tests[3])+")`应返回`"+JSON.stringify(results[3])+"`
```js
assert.deepEqual(maximumSubsequence([7, 1, -5, -3, -8, 1]), [7, 1]);
```
`maximumSubsequence("+JSON.stringify(tests[4])+")`应返回`"+JSON.stringify(results[4])+"`
```js
assert.deepEqual(maximumSubsequence([-3, 6, -1, 4, -4, -6]), [6, -1, 4]);
```
`maximumSubsequence("+JSON.stringify(tests[5])+")`应返回`"+JSON.stringify(results[5])+"`
```js
assert.deepEqual(maximumSubsequence([-1, -2, 3, 5, 6, -2, -1, 4, -4, 2, -1]), [
3,
5,
6,
-2,
-1,
4
]);
```
# --seed--
## --seed-contents--
```js
function maximumSubsequence(population) {
}
```
# --solutions--
```js
function maximumSubsequence(population) {
function sumValues(arr) {
var result = 0;
for (var i = 0, len = arr.length; i < len; i++) {
result += arr[i];
}
return result;
}
var greatest;
var maxValue = 0;
for (var i = 0, len = population.length; i < len; i++) {
for (var j = i; j <= len; j++) {
var subsequence = population.slice(i, j);
var value = sumValues(subsequence);
if (value > maxValue) {
maxValue = value;
greatest = subsequence;
};
}
}
return greatest;
}
```