P2871 [USACO07DEC]手链Charm Bracelet

题目描述

Bessie has gone to the mall's jewelry store and spies a charm bracelet. Of course, she'd like to fill it with the best charms possible from the N (1 ≤ N ≤ 3,402) available charms. Each charm i in the supplied list has a weight Wi (1 ≤ Wi ≤ 400), a 'desirability' factor Di (1 ≤ Di ≤ 100), and can be used at most once. Bessie can only support a charm bracelet whose weight is no more than M (1 ≤ M ≤ 12,880).

Given that weight limit as a constraint and a list of the charms with their weights and desirability rating, deduce the maximum possible sum of ratings.

有N件物品和一个容量为V的背包。第i件物品的重量是c[i],价值是w[i]。求解将哪些物品装入背包可使这些物品的重量总和不超过背包容量,且价值总和最大。

输入输出格式

输入格式:

 

* Line 1: Two space-separated integers: N and M

* Lines 2..N+1: Line i+1 describes charm i with two space-separated integers: Wi and Di

第一行:物品个数N和背包大小M

第二行至第N+1行:第i个物品的重量C[i]和价值W[i]

 

输出格式:

 

* Line 1: A single integer that is the greatest sum of charm desirabilities that can be achieved given the weight constraints

输出一行最大价值。

输入输出样例

输入样例#1: 复制
4 6
1 4
2 6
3 12
2 7
输出样例#1: 复制
23

 

 

   01背包模板

这道题用二维会爆,比如:


 1 #include<iostream>
 2 #include<cstdio>
 3 #include<cmath>
 4 #include<algorithm>
 5 #include<cstring>
 6 using namespace std;
 7 
 8 int m,n,w[3403],c[3403],f[3403][12881];
 9 
10 int main()
11 {
12     scanf("%d%d",&n,&m);
13     for (int i=1; i<=n; ++i)
14         scanf("%d%d",&w[i],&c[i]);
15     for (int i=1; i<=n; ++i)
16         for (int j=m; j>0; --j)
17         {
18             if (w[i] <= j)
19                 f[i][j] = max(f[i-1][j],f[i-1][j-w[i]]+c[i]);
20             else f[i][j] = f[i-1][j];
21         }
22     printf("%d",f[n][m]);
23     return 0;
24 }

改一下,

这样就好了

 1 #include <iostream>
 2 #include <cstdio>
 3 using namespace std;
 4 
 5 #define maxn 3403
 6 #define maxm 12881
 7 
 8 int m,n,w[maxn],c[maxn],f[maxm];
 9 int main()
10 {    
11     scanf("%d%d",&n,&m);    
12     for (int i=1;i<=n;++i)        
13         scanf("%d%d",&w[i],&c[i]);    
14     for (int i=1;i<=n;++i)        
15         for (int v=m;v>=w[i];--v)            
16             if (f[v-w[i]] + c[i] > f[v])               
17                 f[v] = f[v-w[i]]+c[i];    
18     printf("%d",f[m]);    
19     return 0;
20 }

看得多了,就自然,理解了,嗯,,,╮(╯▽╰)╭AI~~


如果你不开心,那我就把右边这个帅傻子分享给你吧, 

你看,他这么好看,那么深情的望着你,你还伤心吗? 

真的!这照片盯上他五秒钟就想笑了。 

一切都会过去的。

原文地址:https://www.cnblogs.com/Mary-Sue/p/8980171.html