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| 1 | +package com.blankj.myself; |
| 2 | + |
| 3 | +/** |
| 4 | + * Description: |
| 5 | + * Copyright: Copyright (c) 2012 |
| 6 | + * Company: keruyun Technology(Beijing) Chengdu Co. Ltd. |
| 7 | + * |
| 8 | + * @author huangjk |
| 9 | + * @version 1.0 2020/9/28 |
| 10 | + */ |
| 11 | +public class ArrHeaderTailMax { |
| 12 | + |
| 13 | + public static int max(int[] a){ |
| 14 | + int sum = 0; |
| 15 | + for(int i=0;i<a.length;i++){ |
| 16 | + sum = sum + a[i]; |
| 17 | + } |
| 18 | + System.out.println("sum="+sum); |
| 19 | + |
| 20 | + return maxDetail(a,sum,0,a.length-1,0); |
| 21 | + } |
| 22 | + |
| 23 | + public static int maxDetail(int[] a,int sum,int leftIndex,int rightIndex,int max){ |
| 24 | + int chooseNum = 0; |
| 25 | + if(rightIndex-leftIndex>1){ |
| 26 | + int leftMax = sum - maxDetail(a,sum-a[leftIndex],leftIndex+1,rightIndex,max); |
| 27 | + int rightMax = sum - maxDetail(a,sum-a[rightIndex],leftIndex,rightIndex-1,max); |
| 28 | + |
| 29 | + chooseNum = Math.max(leftMax,rightMax); |
| 30 | + return chooseNum; |
| 31 | + }else { |
| 32 | + return Math.max(a[leftIndex],a[rightIndex]); |
| 33 | + } |
| 34 | + } |
| 35 | + |
| 36 | + public static void main(String[] args) { |
| 37 | + int v[] = { 1, 2, 3, 6, 9, 5, 7, 4, 2, 6, 9, 5, 8, 7, 2, 1, 55, 3, 6, 9, 7, 5, 2 }; |
| 38 | + int n = max(v); |
| 39 | + System.out.println(n); |
| 40 | + |
| 41 | + System.out.println(max2_dync(v)); |
| 42 | + } |
| 43 | + |
| 44 | + /** |
| 45 | + * |
| 46 | + * |
| 47 | + * dp[i][j]=sum[i,j]-min(dp[i-1][j],dp[i][j-1]) |
| 48 | + * @param b |
| 49 | + * @return |
| 50 | + */ |
| 51 | + public static int max2_dync(int[] b){ |
| 52 | + int n = b.length; |
| 53 | + int[] a=new int[n+1]; |
| 54 | + int[][] dp=new int[n+1][n+1]; |
| 55 | + int[] sum=new int[n+1]; |
| 56 | + for(int i=1;i<=n;i++){ |
| 57 | + a[i]=b[i-1]; |
| 58 | + sum[i]=sum[i-1]+a[i]; |
| 59 | + dp[i][i]=a[i]; |
| 60 | + } |
| 61 | + |
| 62 | + for(int i=n;i>0;i--){ |
| 63 | + for(int j=i+1;j<=n;j++){ |
| 64 | + dp[i][j]=sum[j]-sum[i-1]-Math.min(dp[i+1][j],dp[i][j-1]); |
| 65 | + } |
| 66 | + } |
| 67 | + int first=dp[1][n]; |
| 68 | + int second=sum[n]-first; |
| 69 | + System.out.println(first+" "+second); |
| 70 | + return first; |
| 71 | + |
| 72 | + } |
| 73 | + |
| 74 | + |
| 75 | + |
| 76 | + |
| 77 | +} |
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