NC15665 maze
题目地址:
基本思路:
从题目意思可以看出这是一个最短路问题,所以可以建图跑Dijkstra,但是数据并不大而建图比较麻烦,所以我们可以直接用Bfs模拟spfa算法的过程,把Bfs稍微修改其实就是spfa了。
参考代码:
#pragma GCC optimize(2)
#pragma GCC optimize(3)
#include <bits/stdc++.h>
using namespace std;
#define IO std::ios::sync_with_stdio(false)
#define int long long
#define rep(i, l, r) for (int i = l; i <= r; i++)
#define per(i, l, r) for (int i = l; i >= r; i--)
#define mset(s, _) memset(s, _, sizeof(s))
#define pb push_back
#define pii pair <int, int>
#define mp(a, b) make_pair(a, b)
#define INF 0x3f3f3f3f
inline int read() {
int x = 0, neg = 1; char op = getchar();
while (!isdigit(op)) { if (op == '-') neg = -1; op = getchar(); }
while (isdigit(op)) { x = 10 * x + op - '0'; op = getchar(); }
return neg * x;
}
inline void print(int x) {
if (x < 0) { putchar('-'); x = -x; }
if (x >= 10) print(x / 10);
putchar(x % 10 + '0');
}
const int maxn = 310;
int n,m,q,d[4][2] = {{0,1},{1,0},{0,-1},{-1,0}};
char a[maxn][maxn];
bool vis[maxn][maxn];
int dp[maxn][maxn];
map<pii,vector<pii>> memo;
pii star,ed;
int bfs(){
mset(dp,INF);
mset(vis,false);
queue<pii> que;
dp[star.first][star.second] = 0;
que.push(star);
while(!que.empty()){
int x = que.front().first,y = que.front().second;
que.pop();
vis[x][y] = false;//vis数组是用来防止重复入队的;
if(memo.count({x,y})) {
for(auto it : memo[{x,y}]) {//传送门的情况;
int nx = it.first, ny = it.second;
if (nx >= 1 && nx <= n && ny >= 1 && ny <= m && a[nx][ny] != '#' && !vis[nx][ny]) {
if (dp[x][y] + 3 <= dp[nx][ny]) {
dp[nx][ny] = min(dp[nx][ny], dp[x][y] + 3);
vis[nx][ny] = true;
que.push({nx, ny});
}
}
}
}
for(int i = 0 ; i < 4 ; i++){//直接走的情况;
int nx = x + d[i][0],ny = y + d[i][1];
if(nx >= 1 && nx <= n && ny >= 1 && ny <= m && a[nx][ny] != '#' && !vis[nx][ny]){
if(dp[x][y] + 1 <= dp[nx][ny]){
dp[nx][ny] = min(dp[nx][ny],dp[x][y] + 1);
vis[nx][ny] = true;
que.push({nx,ny});
}
}
}
}
return dp[ed.first][ed.second] >= INF ? -1 : dp[ed.first][ed.second];
}
signed main() {
IO;
while (cin >> n >> m >> q) {
rep(i, 1, n) {
rep(j, 1, m) {
cin >> a[i][j];
if (a[i][j] == 'S') star = {i, j};
if (a[i][j] == 'T') ed = {i, j};
}
}
memo.clear();
rep(i, 1, q) {
int rx, ry, tx, ty;
cin >> rx >> ry >> tx >> ty;
rx++, ry++, tx++, ty++;//输入的数据是从0开始的要改一下;
memo[{rx, ry}].push_back({tx, ty});
}
int ans = bfs();
cout << ans << '\n';
}
return 0;
}
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