BZOJ 1618: [Usaco2008 Nov]Buying Hay 购买干草 (完全背包)

1618: [Usaco2008 Nov]Buying Hay 购买干草

Time Limit: 5 Sec  Memory Limit: 64 MB Submit: 906  Solved: 456 [Submit][Status][Discuss]

Description

    约翰的干草库存已经告罄,他打算为奶牛们采购日(1≤日≤50000)磅干草.

    他知道N(1≤N≤100)个干草公司,现在用1到N给它们编号.第i个公司卖的干草包重量为Pi(1≤Pi≤5000)磅,需要的开销为Ci(l≤Ci≤5000)美元.每个干草公司的货源都十分充足,可以卖出无限多的干草包.    帮助约翰找到最小的开销来满足需要,即采购到至少H磅干草.

Input

    第1行输入N和日,之后N行每行输入一个Pi和Ci.

Output

    最小的开销.

Sample Input

2 15 3 2 5 3

Sample Output

9

FJ can buy three packages from the second supplier for a total cost of 9.

思路:完全背包。。。注意是买至少V,可以超过。我的做法是算了两倍,然后取最小值(V..2V)

 1/* ***********************************************
 2Author :111qqz
 3Created Time :2016年04月03日 星期日 19时40分29秒
 4File Name :code/bzoj/1618.cpp
 5************************************************ */
 6
 7#include <cstdio>
 8#include <cstring>
 9#include <iostream>
10#include <algorithm>
11#include <vector>
12#include <queue>
13#include <set>
14#include <map>
15#include <string>
16#include <cmath>
17#include <cstdlib>
18#include <ctime>
19#define fst first
20#define sec second
21#define lson l,m,rt<<1
22#define rson m+1,r,rt<<1|1
23#define ms(a,x) memset(a,x,sizeof(a))
24typedef long long LL;
25#define pi pair < int ,int >
26#define MP make_pair
27
28using namespace std;
29const double eps = 1E-8;
30const int dx4[4]={1,0,0,-1};
31const int dy4[4]={0,-1,1,0};
32const int inf = 0x3f3f3f3f;
33const int N=105;
34int p[N],c[N];
35int n;
36int V;
37int dp[1000005];
38
39void solve (int val,int cost)
40{
41    for ( int i = value ; i <= V ; i++)
42	dp[i] = min(dp[i],dp[i-value]+cost);
43}
44int main()
45{
46	#ifndef  ONLINE_JUDGE 
47	freopen("code/in.txt","r",stdin);
48  #endif
49	cin>>n>>V;
50	V*=2;
51	for  ( int i = 1 ; i <= n ; i++) cin>>p[i]>>c[i];
52
53	ms(dp,0x3f);
54	dp[0]=0;
55	for ( int i = 1 ; i <= n ; i++) solve(p[i],c[i]);
56	int ans = inf;
57	for ( int i = 1 ; i <= n ; i++)  ans = min(ans,dp[i]);
58	cout<<ans<<endl;
59
60  #ifndef ONLINE_JUDGE  
61  fclose(stdin);
62  #endif
63    return 0;
64}