标签：hdu 1114 piggy-bank 完全背包 dp
Piggy-Bank
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 13792 Accepted Submission(s): 6981
Problem Description
Before ACM can do anything, a budget must be prepared and the necessary financial support obtained. The main income for this action comes from Irreversibly Bound Money (IBM). The idea behind is simple. Whenever some ACM member has any small money, he takes
all the coins and throws them into a piggy-bank. You know that this process is irreversible, the coins cannot be removed without breaking the pig. After a sufficiently long time, there should be enough cash in the piggy-bank to pay everything that needs to
be paid.
But there is a big problem with piggy-banks. It is not possible to determine how much money is inside. So we might break the pig into pieces only to find out that there is not enough money. Clearly, we want to avoid this unpleasant situation. The only possibility
is to weigh the piggy-bank and try to guess how many coins are inside. Assume that we are able to determine the weight of the pig exactly and that we know the weights of all coins of a given currency. Then there is some minimum amount of money in the piggy-bank
that we can guarantee. Your task is to find out this worst case and determine the minimum amount of cash inside the piggy-bank. We need your help. No more prematurely broken pigs!
Input
The input consists of T test cases. The number of them (T) is given on the first line of the input file. Each test case begins with a line containing two integers E and F. They indicate the weight of an empty pig and of the pig filled with coins. Both weights
are given in grams. No pig will weigh more than 10 kg, that means 1 <= E <= F <= 10000. On the second line of each test case, there is an integer number N (1 <= N <= 500) that gives the number of various coins used in the given currency. Following this are
exactly N lines, each specifying one coin type. These lines contain two integers each, Pand W (1 <= P <= 50000, 1 <= W <=10000). P is the value of the coin in monetary units, W is it‘s weight in grams.
Output
Print exactly one line of output for each test case. The line must contain the sentence "The minimum amount of money in the piggy-bank is X." where X is the minimum amount of money that can be achieved using coins with the given total weight. If the weight
cannot be reached exactly, print a line "This is impossible.".
Sample Input
3
10 110
2
1 1
30 50
10 110
2
1 1
50 30
1 6
2
10 3
20 4
Sample Output
The minimum amount of money in the piggy-bank is 60.
The minimum amount of money in the piggy-bank is 100.
This is impossible.
Source
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题意：
有t组数据
每组数据第一行为E,F，F-E即为背包的容量
接下来有n种硬币已知他们的价值P[i],和重量W[i],
求装满背包时，硬币的最小价值总和。
#include<iostream>
#include<cstdio>
#include<cstring>
#include<cmath>
#include<string>
#include<algorithm>
#include<cstdlib>
#include<set>
#include<queue>
#include<stack>
#include<vector>
#include<map>
#define N 55500
#define Mod 10000007
#define lson l,mid,idx<<1
#define rson mid+1,r,idx<<1|1
#define lc idx<<1
#define rc idx<<1|1
const double EPS = 1e-11;
const double PI = acos ( -1.0 );
//const double E = 2.718281828;
typedef long long ll;
const int INF = 100000010;
using namespace std;
int n;
int E,F;
int P[N],W[N];
int dp[N];
int main() {
int t;
cin>>t;
while(t--) {
scanf("%d%d",&E,&F);
E=F-E;
scanf("%d",&n);
for(int i=0; i<n; i++)
scanf("%d%d",&P[i],&W[i]);
fill(dp,dp+N,INF);
dp[0]=0;
for(int i=0; i<n; i++) {
for(int j=W[i]; j<=E; j++)
dp[j]=min(dp[j],dp[j-W[i]]+P[i]);
}
if(dp[E]==INF)
printf("This is impossible.\n");
else
printf("The minimum amount of money in the piggy-bank is %d.\n",dp[E]);
}
return 0;
}
hdu 1114 Piggy-Bank(完全背包)
标签：hdu 1114 piggy-bank 完全背包 dp
原文地址：http://blog.csdn.net/acm_baihuzi/article/details/44503863
