HDU - 5706 GirlCat (dfs)

本题是一道编程挑战题目,要求在给定的字符矩阵中找出并计数特定字符串图案girl和cat出现的次数。通过深度优先搜索算法遍历矩阵,寻找符合定义的图案。

GirlCat

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1020    Accepted Submission(s): 642


Problem Description
As a cute girl, Kotori likes playing ``Hide and Seek'' with cats particularly.
Under the influence of Kotori, many girls and cats are playing ``Hide and Seek'' together.
Koroti shots a photo. The size of this photo is  n\times m, each pixel of the photo is a character of the lowercase(from `a' to `z').
Kotori wants to know how many girls and how many cats are there in the photo.

We define a girl as -- we choose a point as the start, passing by 4 different connected points continuously, and the four characters are exactly ``girl'' in the order.
We define two girls are different if there is at least a point of the two girls are different.
We define a cat as -- we choose a point as the start, passing by 3 different connected points continuously, and the three characters are exactly ``cat'' in the order.
We define two cats are different if there is at least a point of the two cats are different.

Two points are regarded to be connected if and only if they share a common edge.
 

Input
The first line is an integer  T which represents the case number.

As for each case, the first line are two integers  n and  m, which are the height and the width of the photo.
Then there are  n lines followed, and there are  m characters of each line, which are the the details of the photo.

It is guaranteed that:
T is about 50.
1\leq n\leq 1000.
1\leq m\leq 1000.
\sum (n\times m)\leq 2\times 10^6 .
 

Output
As for each case, you need to output a single line.
There should be 2 integers in the line with a blank between them representing the number of girls and cats respectively.

Please make sure that there is no extra blank.

 

Sample Input
  
  
3 1 4 girl 2 3 oto cat 3 4 girl hrlt hlca
 

Sample Output
  
  
1 0 0 2 4 1
 

Source
 

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题意:给一个 n * m 的矩阵,问其中有多少个 "girl" 和 "cat"

#include <bits/stdc++.h>
using namespace std;

int t, n, m;
char a[1003][1003];
int ans1, ans2;
int dx[] = {0, 0, 1, -1};
int dy[] = {1, -1, 0, 0};

int dfs(int i, int j, int k, int f){
    for(int t = 0; t < 4; t++){
        int ii = i + dx[t];
        int jj = j + dy[t];
        if(ii >= 0 &&ii < n && jj >= 0 && jj < m){
            if(f){
                if(k == 1 && a[ii][jj] == 'i'){
                    dfs(ii, jj, 2, f);
                }
                if(k == 2 && a[ii][jj] == 'r'){
                    dfs(ii, jj, 3, f);
                }
                if(k == 3&& a[ii][jj] == 'l'){
                    ans1++;
                }
            }
            else {
                if(k == 1 && a[ii][jj] == 'a'){
                    dfs(ii, jj, 2, f);
                }
                if(k == 2 && a[ii][jj] == 't'){
                    ans2++;
                }
            }
        }
    }
}

int main(){
    scanf("%d", &t);
    while(t--){
        scanf("%d%d", &n, &m);
        for(int i = 0; i < n; i++){
            scanf("%s", a[i]);
        }
        ans1 = 0, ans2 = 0;
        for(int i = 0; i < n; i++){
            for(int j = 0; j < m; j++){
                if(a[i][j] == 'g'){
                    dfs(i, j, 1, 1);
                }
                if(a[i][j] == 'c'){
                    dfs(i, j, 1, 0);
                }
            }
        }
        printf("%d %d\n", ans1, ans2);
    }
}


### 关于HDU - 6609 的题目解析 由于当前未提供具体关于 HDU - 6609 题目的详细描述,以下是基于一般算法竞赛题型可能涉及的内容进行推测和解答。 #### 可能的题目背景 假设该题目属于动态规划类问题(类似于多重背包问题),其核心在于优化资源分配或路径选择。此类问题通常会给出一组物品及其属性(如重量、价值等)以及约束条件(如容量限制)。目标是最优地选取某些物品使得满足特定的目标函数[^2]。 #### 动态转移方程设计 如果此题确实是一个变种的背包问题,则可以采用如下状态定义方法: 设 `dp[i][j]` 表示前 i 种物品,在某种条件下达到 j 值时的最大收益或者最小代价。对于每一种新加入考虑范围内的物体 k ,更新规则可能是这样的形式: ```python for i in range(n): for s in range(V, w[k]-1, -1): dp[s] = max(dp[s], dp[s-w[k]] + v[k]) ``` 这里需要注意边界情况处理以及初始化设置合理值来保证计算准确性。 另外还有一种可能性就是它涉及到组合数学方面知识或者是图论最短路等相关知识点。如果是后者的话那么就需要构建相应的邻接表表示图形结构并通过Dijkstra/Bellman-Ford/Floyd-Warshall等经典算法求解两点间距离等问题了[^4]。 最后按照输出格式要求打印结果字符串"Case #X: Y"[^3]。 #### 示例代码片段 下面展示了一个简单的伪代码框架用于解决上述提到类型的DP问题: ```python def solve(): t=int(input()) res=[] cas=1 while(t>0): n,k=list(map(int,input().split())) # Initialize your data structures here ans=find_min_unhappiness() # Implement function find_min_unhappiness() res.append(f'Case #{cas}: {round(ans)}') cas+=1 t-=1 print("\n".join(res)) solve() ```
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