Coins （HDU 2844） —— 多重背包

写这题花了我一天时间，而且还没写出来，故借鉴了别人的文章：http://blog.csdn.net/lyhvoyage/article/details/8777540

基本上就是多重背包的模板了。。

Coins

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 6807    Accepted Submission(s): 2771

Problem Description

Whuacmers use coins.They have coins of value A1,A2,A3...An Silverland dollar. One day Hibix opened purse and found there were some coins. He decided to buy a very nice watch in a nearby shop. He wanted to pay the exact price(without change) and he known the price would not more than m.But he didn't know the exact price of the watch.

You are to write a program which reads n,m,A1,A2,A3...An and C1,C2,C3...Cn corresponding to the number of Tony's coins of value A1,A2,A3...An then calculate how many prices(form 1 to m) Tony can pay use these coins.

 

Input

The input contains several test cases. The first line of each test case contains two integers n(1 ≤ n ≤ 100),m(m ≤ 100000).The second line contains 2n integers, denoting A1,A2,A3...An,C1,C2,C3...Cn (1 ≤ Ai ≤ 100000,1 ≤ Ci ≤ 1000). The last test case is followed by two zeros.

 

Output

For each test case output the answer on a single line.

 

Sample Input

3 101 2 4 2 1 12 51 4 2 10 0

 

Sample Output

84

自己跟着也写了。。

#include<stdio.h>int a[110],c[110],dp[100010];int maxn(int i,int j) {return i > j ? i : j;}void CompletePack(int v,int w,int m){    for(int j=v; j<=m; j++)        dp[j] = maxn(dp[j],dp[j-v]+w);}void ZeroOnePack(int v,int w,int m){    for(int j=m; j>=v; j--)        dp[j] = maxn(dp[j],dp[j-v]+w);}void MultiPack(int v,int w,int m,int c){    if(v*c > m) CompletePack(v,w,m);    else    {        int k = 1;        while(k < c)        {            ZeroOnePack(k*v,k*w,m);            c -= k;            k *= 2;        }        ZeroOnePack(c*v,c*w,m);    }}int main(){    int i,j,n,m;    while(~scanf("%d%d", &n,&m),n+m)    {        for(i=1; i<=m; i++) dp[i] = 0;        for(i=1; i<=n; i++)            scanf("%d", a+i);        for(i=1; i<=n; i++)            scanf("%d", c+i);        for(i=1; i<=n; i++)            MultiPack(a[i],a[i],m,c[i]);        int sum = 0;        for(i=1; i<=m; i++)            if(dp[i] == i) sum++;        printf("%d\n", sum);    }    return 0;}