给定一整数序列A1,A2,…,An(可能有负数),求A1到An的一个自序列,使得Ai到Aj的和最大。例如:整数序列-2,11,-4,13,-5,2,-5,-3,12,-9的最大子序列为21(从A2到A9)
最差的方法
- ```
- var a = [-2,11,-4,13,-5,2,-3,12,-9]
- var b = new Set()
-
- for(let n in a){
- let nm = [];
- for(let m = n;m<a.length;m++){
- nm.push(a[m])
- }
- add(...nm)
- }
- function add(...nums){
- nums.reduce((x,y)=>{
- b.add(x+y);
- return x+y;
- })
- }
-
- Math.max(...b)
优化
- ``` var a = [-2,-9] var b = new Set() for(let n in a){ a.reduce((x,y)=>{ b.add(x+y); return x+y; }) a.shift() } Math.max(...b)
ES6
- ```
- var a = [-2,-9]
- var b = new Set()
-
- new class res{
- constructor(){
- a.reduce((x,y)=>{
- b.add(x+y);
- return x+y;
- })
- a.shift()
- if(a.length) new res()
- }
- }
-
-
- Math.max(...b)
最优-动态规划
- var a = [-2,-9]
- function method(data){ var max = 0; var m = data.length; var sum = 0; for(var i=0;i<m;i++){ sum+=data[i]; if(sum>max){ max=sum; }else if(sum<0){ sum = 0; } } return max;
- }
-
- method(a)