for(R i=1;i<=n;i++) for(R j=V-(n-i);j>=i;j--) for(R k=j-1;k>=i-1;k--) if(f[i][j]<f[i-1][k]+w[i][j]) ans[i][j]=k,f[i][j]=f[i-1][k]+w[i][j];
由于只访问上一个状态,我们可以理所应当的把它压掉
for(R i=1;i<=n;i++) for(R j=V-(n-i);j>=i;j--) { f[j]=0xcfcfcfcf; for(R k=j-1;k>=i-1;k--) if(f[j]<f[k]+w[i][j]) ans[i][j]=k,f[j]=f[k]+w[i][j]; }
AC代码
二维的:
#include<iostream> #include<cstdio> #include<algorithm> #include<cstring> #define R register int using namespace std; int n,V,pos=109; int w[110][110],f[110][110],ans[110][110]; inline void print(int i,int j) { if(!i) return ; print(i-1,ans[i][j]); printf("%d ",j); } signed main() { //freopen("testdata.in","r",stdin); memset(f,0xcf,sizeof(f)); scanf("%d%d",&n,&V);f[n][109]=0xcfcfcfcf; for(R i=1;i<=n;i++) for(R j=1;j<=V;j++) scanf("%d",&w[i][j]); for(R i=0;i<=V;i++) f[0][i]=0; for(R i=1;i<=n;i++) for(R j=V-(n-i);j>=i;j--) for(R k=j-1;k>=i-1;k--) if(f[i][j]<f[i-1][k]+w[i][j]) ans[i][j]=k,f[i][j]=f[i-1][k]+w[i][j];//,cout<<i<<" "<<j<<" "<<k<<" "<<f[1][1]<<endl; for(R i=V;i>=n;i--) if(f[n][i]>f[n][pos]) pos=i; printf("%d\n",f[n][pos]),print(n,pos); }
一维的:
#include<iostream> #include<cstdio> #include<algorithm> #include<cstring> #define R register int using namespace std; int n,V,pos=109; int w[110][110],f[110],ans[110][110]; inline void print(int i,int j) { if(!i) return ; print(i-1,ans[i][j]); printf("%d ",j); } signed main() { //freopen("testdata.in","r",stdin); //memset(f,0xcf,sizeof(f)); scanf("%d%d",&n,&V);f[109]=0xcfcfcfcf; for(R i=1;i<=n;i++) for(R j=1;j<=V;j++) scanf("%d",&w[i][j]); //for(R i=0;i<=V;i++) f[0][i]=0; for(R i=1;i<=n;i++) for(R j=V-(n-i);j>=i;j--) { f[j]=0xcfcfcfcf; for(R k=j-1;k>=i-1;k--) if(f[j]<f[k]+w[i][j]) ans[i][j]=k,f[j]=f[k]+w[i][j];//,cout<<i<<" "<<j<<" "<<k<<" "<<f[1][1]<<endl; } for(R i=V;i>=n;i--) if(f[i]>f[pos]) pos=i; printf("%d\n",f[pos]),print(n,pos); }
2019.3.3
原文:https://www.cnblogs.com/Jackpei/p/10465868.html