算法Day23 简单吃饭（0-1背包）

简单吃饭（0-1背包）

Description

Input

Output

Sample

代码

import java.util.Scanner;
public class Main {
    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        int n = scanner.nextInt();
        int total = scanner.nextInt();
        int price[] = new int[n];
        int high[] = new int[n];
        for(int i =0;i<n;i++){
            price[i] = scanner.nextInt();
            high[i] = scanner.nextInt();
        }
        System.out.println(process(price,high,total));
    }
    public static int process(int price[],int high[],int prices){
        //总计happy
        int dp[][] = new int[price.length+1][prices+1];

        for(int i=1;i<=price.length;i++){
            for(int j=1;j<=prices;j++){
                dp[i][j]=dp[i-1][j];
                if(j>=price[i-1]){
                    dp[i][j]=Math.max(dp[i-1][j],dp[i-1][j-price[i-1]]+high[i-1]);
                }
            }
        }
        return dp[price.length][prices];
    }
}

思路

使用动态规划，与完全吃饭类似

注意的是dpij=dpi-1j

这样是保证选取的食物有序，对食物仅能选取0-1次