2018-10-10 18:03:03 -04:00
|
|
|
|
---
|
|
|
|
|
id: 5a23c84252665b21eecc7e84
|
2020-12-16 00:37:30 -07:00
|
|
|
|
title: 最重要的后续总和
|
2018-10-10 18:03:03 -04:00
|
|
|
|
challengeType: 5
|
|
|
|
|
videoUrl: ''
|
2021-01-13 03:31:00 +01:00
|
|
|
|
dashedName: greatest-subsequential-sum
|
2018-10-10 18:03:03 -04:00
|
|
|
|
---
|
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
# --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--
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
`maximumSubsequence`应该是一个函数。
|
|
|
|
|
|
|
|
|
|
```js
|
|
|
|
|
assert(typeof maximumSubsequence == 'function');
|
2018-10-10 18:03:03 -04:00
|
|
|
|
```
|
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
`maximumSubsequence("+JSON.stringify(tests[0])+")`应该返回一个数组。
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
```js
|
|
|
|
|
assert(Array.isArray(maximumSubsequence([1, 2, -1, 3, 10, -10])));
|
|
|
|
|
```
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
`maximumSubsequence("+JSON.stringify(tests[0])+")`应返回`"+JSON.stringify(results[0])+"` 。
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
|
|
|
|
```js
|
2020-12-16 00:37:30 -07:00
|
|
|
|
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])+"` 。
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
```js
|
|
|
|
|
assert.deepEqual(maximumSubsequence([0, 8, 10, -2, -4, -1, -5, -3]), [
|
|
|
|
|
0,
|
|
|
|
|
8,
|
|
|
|
|
10
|
|
|
|
|
]);
|
2018-10-10 18:03:03 -04:00
|
|
|
|
```
|
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
`maximumSubsequence("+JSON.stringify(tests[2])+")`应返回`"+JSON.stringify(results[2])+"` 。
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
```js
|
|
|
|
|
assert.deepEqual(maximumSubsequence([9, 9, -10, 1]), [9, 9]);
|
|
|
|
|
```
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
`maximumSubsequence("+JSON.stringify(tests[3])+")`应返回`"+JSON.stringify(results[3])+"` 。
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
|
|
|
|
```js
|
2020-12-16 00:37:30 -07:00
|
|
|
|
assert.deepEqual(maximumSubsequence([7, 1, -5, -3, -8, 1]), [7, 1]);
|
2018-10-10 18:03:03 -04:00
|
|
|
|
```
|
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
`maximumSubsequence("+JSON.stringify(tests[4])+")`应返回`"+JSON.stringify(results[4])+"` 。
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
```js
|
|
|
|
|
assert.deepEqual(maximumSubsequence([-3, 6, -1, 4, -4, -6]), [6, -1, 4]);
|
|
|
|
|
```
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
`maximumSubsequence("+JSON.stringify(tests[5])+")`应返回`"+JSON.stringify(results[5])+"` 。
|
2018-10-10 18:03:03 -04:00
|
|
|
|
|
|
|
|
|
```js
|
2020-12-16 00:37:30 -07:00
|
|
|
|
assert.deepEqual(maximumSubsequence([-1, -2, 3, 5, 6, -2, -1, 4, -4, 2, -1]), [
|
|
|
|
|
3,
|
|
|
|
|
5,
|
|
|
|
|
6,
|
|
|
|
|
-2,
|
|
|
|
|
-1,
|
|
|
|
|
4
|
|
|
|
|
]);
|
2018-10-10 18:03:03 -04:00
|
|
|
|
```
|
2020-08-13 17:24:35 +02:00
|
|
|
|
|
2021-01-13 03:31:00 +01:00
|
|
|
|
# --seed--
|
|
|
|
|
|
|
|
|
|
## --seed-contents--
|
|
|
|
|
|
|
|
|
|
```js
|
|
|
|
|
function maximumSubsequence(population) {
|
|
|
|
|
|
|
|
|
|
}
|
|
|
|
|
```
|
|
|
|
|
|
2020-12-16 00:37:30 -07:00
|
|
|
|
# --solutions--
|
|
|
|
|
|
2021-01-13 03:31:00 +01:00
|
|
|
|
```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;
|
|
|
|
|
}
|
|
|
|
|
```
|