SPOJ PIGBANK
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// http://www.spoj.com/problems/PIGBANK/#include<iostream>#include<algorithm>#include<cstring>using namespace std;#define Max 10000// dp(x) means the minimal value of conins with weight x.int dp[Max+1];// temp(x) means whether there is a solution to get minimal value of conins with weight x.bool temp[Max+1];// w(x) the weight of conin x// v(x) the value of conin xint w[500],v[500];int main(){ int T,E,F,N; int i,j; scanf("%d",&T); while(T--) { scanf("%d%d%d",&E,&F,&N); for(i=0;i<N;i++) scanf("%d%d",&v[i],&w[i]); memset(dp,0,sizeof(dp)); memset(temp,0,sizeof(temp)); temp[0]=true; // variable i means the ith coin for(i=0;i<N;i++) { // variable j means weight j, assuming the conin is ordered according to their weights. for(j=w[i];j<=Max;j++) { dp(w) = min(f(w-wi)) if(temp[j-w[i]]&&dp[j]!=0) { // if: weight of (j - w[i]) has a solution and weight of j already has a solution // then: compare current solution and the solution by adding ith coin, choose the smaller one dp[j]=dp[j]<dp[j-w[i]]+v[i]? dp[j]:dp[j-w[i]]+v[i]; temp[j]=true; } else if(temp[j-w[i]]&&dp[j]==0) { // if: weight of (j-w[i]) has a solution, and weight of j does not have a solution so far // then: assign current solution by adding ith conin weight and value. dp[j]=dp[j-w[i]]+v[i]; temp[j]=true; } cout << "dp[" << j << "]=" << dp[j] << endl; } } if(temp[F-E]==false) { printf("This is impossible.\n"); } else { printf("The minimum amount of money in the piggy-bank is %d.\n",dp[F-E]); } } return 0;}
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