FatMouse and Cheese
blocks of cheese in a hole. Now he's going to enjoy his favorite food.
FatMouse begins by standing at location (0,0). He eats up the cheese where he stands and then runs either horizontally or vertically to another location. The problem is that there is a super Cat named Top Killer sitting near his hole, so each time he can run
at most k locations to get into the hole before being caught by Top Killer. What is worse -- after eating up the cheese at one location, FatMouse gets fatter. So in order to gain enough energy for his next run, he has to run to a location which have more blocks
of cheese than those that were at the current hole.
Given n, k, and the number of blocks of cheese at each grid location, compute the maximum amount of cheese FatMouse can eat before being unable to move.
a line containing two integers between 1 and 100: n and k
n lines, each with n numbers: the first line contains the number of blocks of cheese at locations (0,0) (0,1) ... (0,n-1); the next line contains the number of blocks of cheese at locations (1,0), (1,1), ... (1,n-1), and so on.
The input ends with a pair of -1's.
3 1 1 2 5 10 11 6 12 12 7 -1 -1
37
#include <iostream> #include <cstdio> #include <cstring> #define maxn 105 using namespace std; int n,m,k,ans; int mp[maxn][maxn]; int dp[maxn][maxn]; int dx[]= {-1,1,0,0}; int dy[]= {0,0,-1,1}; int dfs(int x,int y) { if(dp[x][y]) return dp[x][y]; // 已经搜过 就不用再搜了 int i,j,t,tx,ty,ma=0; for(i=1; i<=k; i++) { for(j=0; j<4; j++) { tx=x+i*dx[j]; ty=y+i*dy[j]; if(tx>=1&&tx<=n&&ty>=1&&ty<=n&&mp[tx][ty]>mp[x][y]) { t=dfs(tx,ty); if(ma<t) ma=t; } } } dp[x][y]=ma+mp[x][y]; return dp[x][y]; } int main() { int i,j,t; while(scanf("%d%d",&n,&k)) { if(n==-1&&k==-1) break ; memset(dp,0,sizeof(dp)); for(i=1; i<=n; i++) { for(j=1; j<=n; j++) { scanf("%d",&mp[i][j]); } } printf("%d\n",dfs(1,1)); } return 0; }