Hdu 1078 FatMouse and Cheese (memory-based search)

Hdu 1078 FatMouse and Cheese (memory-based search)

Problem Description
FatMouse has stored some cheese in a city. the city can be considered as a square grid of dimension n: each grid location is labeled (p, q) where 0 <= p <n and 0 <= q <n. at each grid location Fatmouse has hid between 0 and 100 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.
Input

There are several test cases. Each test case consists

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, n-1), and so on.
The input ends with a pair of-1's.
Output For each test case output in a line the single integer giving the number of blocks of cheese collected.
Sample Input

3 1 1 2 5 10 11 6 12 12 7-1-1
Sample Output

37
Source Zhejiang University Training Contest 2001
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Statistic | Submit | Discuss | Note

The normal search times out and feels that this question is the same as skiing (poj1088, nyoj10 ).

First, attach the timeout code + understanding error (He eats up the cheese where he stands and then runs either horizontally or vertically to another location .)

# Include
 
  
# Include
  
   
Int n, k; int map [105] [105]; bool vis [105] [105]; int dir [4] [2] =, 0,-1}; int max; bool limit (int x1, int y1, int x, int y) {if (vis [x1] [y1] | x1 <0 | y1 <0 | x1> = n | y1> = n | map [x1] [y1] <= map [x] [y]) return false; return true;} void dfs (int x, int y, int sum) {if (sum> max) max = sum; for (int I = 0; I
   
    
N + n) k = n + n; for (int I = 0; I
    
     
It can be understood that we can take any k Steps. Wa should also be
     

     
Memory-based search:
     
 
     
#include 
      
       #include 
       
        #include 
        
         #include 
         
          using namespace std;int n,k,result;int map[105][105];int dp[105][105];int dir[4][2]={1,0,-1,0,0,1,0,-1};struct node{int x,y;};bool limit(int x1,int y1,int x,int y){    if(x1<0||y1<0||x1>=n||y1>=n||map[x1][y1]<=map[x][y])    return false;    return true;}int dfs(int x,int y){if(dp[x][y]) return dp[x][y];for(int i=1;i<=k;i++){for(int j=0;j<4;j++){int x1=x+dir[j][0]*i;int y1=y+dir[j][1]*i;if(limit(x1,y1,x,y)){int z=dfs(x1,y1);if(dp[x][y]