Piggy-BankTime Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 36261 Accepted Submission(s): 17994 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.
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.
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#include <iostream>
#include <string.h>
const int INF = 0x3F3F3F3F;
int min(int a,int b) {
return a>b?b:a;
}
struct haha{
int x,y;
}we[600];
int dp[20100];
int main(){
int t;
//freopen("in.txt","r",stdin);
scanf("%d",&t);
while(t--){
int e,f;
scanf("%d %d",&e,&f);
int to=f-e;
int n;
scanf("%d",&n);
for(int i=0;i<n;i++){
scanf("%d %d",&we[i].y,&we[i].x);
}
for(int i=0;i<=to;i++){
dp[i]=INF;
}
dp[0]=0;
for(int i=0;i<n;i++){
for(int j=we[i].x;j<=to;j++){
dp[j]=min(dp[j],dp[j-we[i].x]+we[i].y);
}
}
if(dp[to]!=INF){
printf("The minimum amount of money in the piggy-bank is %d.\n",dp[to]);
}
else{
printf("This is impossible.\n");
}
}
}
在不破坏猪存钱罐的情况下,通过已知的空罐重量、满罐重量及各种硬币的重量与价值,确定罐内最小可能金额,避免因资金不足而过早破坏存钱罐。
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