HDU 1709 The Balance
题解:因为天平两边都可以放砝码,所以需要再建一个负的砝码值,然后用母函数即可……
#include <cstdio> #include <iostream> using namespace std; int c1[10005],c2[10005],n,sum,res,weight[105]; int main(){ while(scanf("%d",&n)!=EOF){ res=sum=0; for(int i=0;i<n;i++){ scanf("%d",&weight[i]); sum+=weight[i]; weight[n+i]=-weight[i]; } memset(c1,0,sizeof(c1)); memset(c2,0,sizeof(c2)); for(int i=0;i<=weight[0];i+=weight[0])c1[i]=1; for(int i=1;i<2*n;i++){ for(int j=0;j<10005;j++){ if(i<=n-1){ for(int k=0;k<=weight[i];k+=weight[i])c2[j+k]+=c1[j]; }else{ for(int k=weight[i];k<=0;k+=-weight[i]){ if(j+k>=0)c2[j+k]+=c1[j]; } } }for(int j=0;j<10005;j++)c1[j]=c2[j],c2[j]=0; }for(int i=0;i<=sum;i++)if(c1[i]==0)res++; bool flag=false; printf("%d\n",res); if(res!=0){ for(int i=0;i<=sum;i++){ if(c1[i]==0&&flag==false){ printf("%d",i); flag=true; } else if(c1[i]==0&&flag)printf(" %d",i); }printf("\n"); } }return 0; }
愿你出走半生,归来仍是少年