题意:给了一个矩阵图,要求使用回路把图中的树全部吃掉的方案树,没有树的点不能走,吃完了这个点也就没有了,走到哪吃到哪
用插头dp搞
#include <iostream>
#include <algorithm>
#include <cstdio>
#include <vector>
#include <string.h>
using namespace std;
typedef long long LL;
int G[][];
int nrows,ncols;
struct State
{
int up[];
int left;
int encode()const
{
int key=left;
for(int i=; i<ncols; i++)key=key*+up[i];
return key;
}
bool next(int row,int col, int U, int D, int L, int R,State &T)const
{
if(row==nrows- && D!= )return false;
if(col==ncols- && R!= )return false;
int must_left = (col>&&left!=);
int must_up = (row> && up[col]!=);
if( ( must_left!= && L==) || (must_left== && L!=) )return false ;
if( ( must_up != && U== ) || (must_up == && U!= )) return false;
for(int i=; i<ncols; i++)T.up[i]=up[i];
T.up[col]=D;
T.left=R;
return true;
}
};
LL memo[][][<<];
LL rec(int row,int col,const State &S)
{
if(col == ncols ){ col=; row++ ;}
if(row == nrows) return ;
int key=S.encode();
LL &res=memo[row][col][key];
if(res>=)return res;
res=;
State T;
if(G[row][col])
{
if(S.next(row,col,,,,,T))
res+=rec(row,col+,T);
if(S.next(row,col,,,,,T))
res+=rec(row,col+,T);
if(S.next(row,col,,,,,T))
res+=rec(row,col+,T);
if(S.next(row,col,,,,,T))
res+=rec(row,col+,T);
if(S.next(row,col,,,,,T))
res+=rec(row,col+,T);
if(S.next(row,col,,,,,T))
res+=rec(row,col+,T);
}else
{
if(S.next(row,col,,,,,T))
res+=rec(row,col+,T);
}
return res;
}
int main()
{
int cas;
scanf("%d",&cas);
for(int cc=; cc<=cas; cc++)
{
scanf("%d%d",&nrows,&ncols);
for(int i=; i<nrows; i++)
for(int j=; j<ncols ;j++)
scanf("%d",&G[i][j]);
State S;
memset(&S,,sizeof(S));
memset(memo,-,sizeof(memo));
LL ans=rec(,,S);
printf("Case %d: There are %I64d ways to eat the trees.\n",cc,ans);
}
return ;
}