Idea
- Use DFS.
- From the problem constraints, starting from the letter in the upper-left corner, there can be at most 26 different letters on the path.
- So we can use a
vis array to record whether a letter has already been used on the current path. If it has been visited, mark it as True.
- Recursively process each cell. At every level, use direction offsets to explore the four neighboring cells: up, down, left, and right.
- Maintain
res to store the maximum number of distinct letters that can be collected. Update it whenever a longer path is found. Once res == 26, the best possible answer has been reached, so we can return early.
- Note that the starting letter must also be marked as visited before the search begins.
Code
#include <bits/stdc++.h>
using namespace std;
const int N = 100;
int n, m, res;
char mp[N][N];
bool vis[N * 3]; // 记录字母 ASCII 码的状态以标记其是否走过
int dx[] = {1, 0, -1, 0}, dy[] = {0, 1, 0, -1};
void dfs(int x, int y, int cnt){
res = max(res, cnt); // 更新最大值
if(res == 26) return; // 达到最大值提前返回
for(int i = 0; i < 4; i ++){
int l = x + dx[i], r = y + dy[i];
if(l >= 0 && l < n && r >= 0 && r < m && !vis[mp[l][r]]){ // 满足在边界内,且没有走过
vis[mp[l][r]] = 1; // 标记为走过
dfs(l, r, cnt + 1); // 递归走下一层
vis[mp[l][r]] = 0; // 恢复现场
}
}
}
void solve(){
cin >> n >> m;
for(int i = 0; i < n; i ++) cin >> mp[i]; // 读入地图,下标从 (0, 0) 开始
vis[mp[0][0]] = 1; // 标记起始点已经走过
dfs(0, 0, 1); // 从 (0, 0) 开始搜索
cout << res << endl;
}
int main(){
solve();
return 0;
}