題目鏈接:hdu1114
大意:給出存錢罐本身的重量和裝錢後的重量,以及存錢罐中錢的面值和重量,求存錢罐裝滿時,錢的總和最小是多少
思路:完全背包解題,每種錢幣都可以裝無限個,注意初始化的值
#include<stdio.h>
#include<algorithm>
#include<string.h>
#define N 1005
#define INF 0xffffffff
using namespace std;
int d[10005],c[505],v[505];
int main()
{
int T,n,V,i,j,E,F;
scanf("%d",&T);
while(T--)
{
scanf("%d%d",&E,&F);
V = F - E;
scanf("%d",&n);
for(i = 0 ; i < n ; i ++)
scanf("%d%d",&v[i],&c[i]);
for(i = 1 ; i <= V ; i ++)
d[i] = 5000000;//初始化為正無窮,如果求錢幣的最大值的話,就初始化為負無窮
d[0] = 0;
for(i = 0 ; i < n ; i ++)
for(j = c[i] ; j <= V ; j ++)
d[j] = min(d[j - c[i]] + v[i],d[j]);
if(d[V] == 5000000)//沒有裝滿
printf("This is impossible.\n");
else
printf("The minimum amount of money in the piggy-bank is %d.\n",d[V]);
}
return 0;
}