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  • 【DFS深搜初步】HDOJ-2952 Counting Sheep、NYOJ-27 水池数目

    【题目链接:HDOJ-2952

    Counting Sheep

    Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
    Total Submission(s): 2476    Accepted Submission(s): 1621


    Problem Description
    A while ago I had trouble sleeping. I used to lie awake, staring at the ceiling, for hours and hours. Then one day my grandmother suggested I tried counting sheep after I'd gone to bed. As always when my grandmother suggests things, I decided to try it out. The only problem was, there were no sheep around to be counted when I went to bed.


    Creative as I am, that wasn't going to stop me. I sat down and wrote a computer program that made a grid of characters, where # represents a sheep, while . is grass (or whatever you like, just not sheep). To make the counting a little more interesting, I also decided I wanted to count flocks of sheep instead of single sheep. Two sheep are in the same flock if they share a common side (up, down, right or left). Also, if sheep A is in the same flock as sheep B, and sheep B is in the same flock as sheep C, then sheeps A and C are in the same flock.


    Now, I've got a new problem. Though counting these sheep actually helps me fall asleep, I find that it is extremely boring. To solve this, I've decided I need another computer program that does the counting for me. Then I'll be able to just start both these programs before I go to bed, and I'll sleep tight until the morning without any disturbances. I need you to write this program for me.
     
    Input
    The first line of input contains a single number T, the number of test cases to follow.

    Each test case begins with a line containing two numbers, H and W, the height and width of the sheep grid. Then follows H lines, each containing W characters (either # or .), describing that part of the grid.
     
    Output
    For each test case, output a line containing a single number, the amount of sheep flock son that grid according to the rules stated in the problem description.

    Notes and Constraints
    0 < T <= 100
    0 < H,W <= 100
     
    Sample Input
    2
    4 4
    #.#.
    .#.#
    #.##
    .#.#
    3 5
    ###.#
    ..#..
    #.###
     
    Sample Output
    6
    3
    【思路】
      深搜:就是把每种可能都枚举出来,直到找到符合条件的可能。
     1 #include<iostream>
     2 #include<cstring>
     3 using namespace std;
     4 const int MAXN = 105;
     5 int Map[MAXN][MAXN] = {0};
     6 int vis[MAXN][MAXN] = {0};
     7 int dfs(int a,int b){
     8     if(Map[a][b] == 0 || vis[a][b] == 1) return 0;
     9     vis[a][b] = 1;
    10     //环顾四周 
    11     dfs(a - 1,b); //
    12     dfs(a + 1,b); //
    13     dfs(a,b - 1); //
    14     dfs(a,b + 1); //
    15     return 0;
    16 }
    17 int main(){
    18     int n;
    19     cin >> n;
    20     while(n--){
    21         int a,b,i,j,sum = 0;
    22         memset(Map,0,sizeof(Map));
    23         memset(vis,0,sizeof(vis));
    24         cin >> a >> b;
    25         for(i = 0;i < a;i++){      
    26             for(j = 0;j < b;j++){
    27                 char ac;
    28                 cin >> ac; 
    29                 if(ac == '#')
    30                     Map[i][j] = 1;
    31                 else Map[i][j] = 0;                                    
    32             }            
    33         }                
    34         for(i = 0;i < a;i++)
    35         for(j = 0;j < b;j++){
    36             if(Map[i][j] == 0 || vis[i][j] == 1)
    37                 continue;
    38             else{
    39                 
    40                 dfs(i,j);
    41                 sum++;
    42             }
    43         }
    44         cout << sum << endl; 
    45     }
    46     return 0;
    47 }

    【题目链接:NYOJ-27

      可以说两题完全相似。

     1  
     2 #include<iostream>
     3 #include<cstring>
     4 using namespace std;
     5 const int MAXN = 105;
     6 int Map[MAXN][MAXN] = {0};
     7 int vis[MAXN][MAXN] = {0};
     8 int dfs(int a,int b){
     9     if(Map[a][b] == 0 || vis[a][b] == 1) return 0;
    10     vis[a][b] = 1;
    11     //环顾四周 
    12     dfs(a - 1,b); //
    13     dfs(a + 1,b); //
    14     dfs(a,b - 1); //
    15     dfs(a,b + 1); //
    16     return 0;
    17 }
    18 int main(){
    19     int n;
    20     cin >> n;
    21     while(n--){
    22         int a,b,i,j,sum = 0;
    23         memset(Map,0,sizeof(Map));
    24         memset(vis,0,sizeof(vis));
    25         cin >> a >> b;
    26         for(i = 1;i <= a;i++)
    27         for(j = 1;j <= b;j++){
    28                 cin >> Map[i][j];
    29         }
    30         for(i = 1;i <= a;i++)
    31         for(j = 1;j <= b;j++){
    32             if(Map[i][j] == 0 || vis[i][j] == 1)
    33                 continue;
    34             else{
    35                 sum++;
    36                 dfs(i,j);
    37             }
    38         }
    39         cout << sum << endl; 
    40     }
    41     return 0;
    42 }        
     
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  • 原文地址:https://www.cnblogs.com/zhengbin/p/4482992.html
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