zoukankan      html  css  js  c++  java
  • 【背包专题】F

    We all know that English is very important, so Ahui strive for this in order to learn more English words. To know that word has its value and complexity of writing (the length of each word does not exceed 10 by only lowercase letters), Ahui wrote the complexity of the total is less than or equal to C. 
    Question: the maximum value Ahui can get. 
    Note: input words will not be the same.

    InputThe first line of each test case are two integer N , C, representing the number of Ahui’s words and the total complexity of written words. (1 ≤ N ≤ 100000, 1 ≤ C ≤ 10000) 
    Each of the next N line are a string and two integer, representing the word, the value(Vi ) and the complexity(Ci ). (0 ≤ Vi , Ci ≤ 10) 
    OutputOutput the maximum value in a single line for each test case. 
    Sample Input

    5 20
    go 5 8
    think 3 7
    big 7 4
    read 2 6
    write 3 5

    Sample Output

    15
    
            
     

    Hint

    Input data is huge,please use “scanf(“%s”,s)”
    

     题意:给你n个物品的价值和费用,在给定的总费用内输出最大价值。

    思路:数据过大,01背包tle,由于题目给出了(0 ≤ Vi , Ci ≤ 10)这一条件,说明有大量价值和费用重复,我们可以考虑多重背包,也可以用二进制数优化后转为01背包,数量的存储可以用一个二维数组进行存储。

    #include<stdio.h>
    #include<string.h>
    #include<algorithm>
    using namespace std;
    #define inf 0x3f3f3f3f
    #define N 10010
    int dp[N],w2[N],v2[N],value[N*10],weight[N*10],num[20][20];
    char ch[20];
    int n,v;
    int main()
    {
        int i,k,j,ans,x,y;
        while(scanf("%d%d",&n,&v)!=EOF)
        {
            memset(num,0,sizeof(num));
            for(i = 1; i <= n; i ++)
            {
                scanf("%s%d%d",ch,&value[i],&weight[i]);
                num[value[i]][weight[i]]++;
            }
            memset(dp,0,sizeof(dp));
            ans = 0;
            for(i = 1; i <= n; i ++)
            {
                x = value[i],y = weight[i];
                for(j = 1; num[x][y]>0; j*=2)
                {
                    k = min(j,num[x][y]);
                    w2[++ans] = k*y;
                    v2[ans] = k*x;
                    num[x][y]-= k;
                } 
            }
            for(i = 1; i <= ans; i ++)
            {
                for(j = v; j >= w2[i]; j --)
                    dp[j] = max(dp[j],dp[j-w2[i]]+v2[i]);
            }
            printf("%d
    ",dp[v]);
        }
        return 0;
     } 
  • 相关阅读:
    符瑞艺 160809228_C语言程序设计实验2 选择结构程序设计
    页面布局class常见命名规范
    CSS学习笔记
    HTML学习笔记
    虚拟机Centos7设置ip地址,并ping真机ip
    vue单页面开发和多页面开发的概念,及优缺点?
    传统的DOM渲染方式?
    面试题
    通过电脑chrome调试手机真机打开的微信H5页面,调试电脑微信H5页面(转载自 乐乐熊小妹)
    常见前端面试题及答案
  • 原文地址:https://www.cnblogs.com/hellocheng/p/7434922.html
Copyright © 2011-2022 走看看