Tunnels

Problem Description

Bob is travelling in Xi’an. He finds many secret tunnels beneath the city. In his eyes, the city is a grid. He can’t enter a grid with a barrier. In one minute, he can move into an adjacent grid with no barrier. Bob is full of curiosity and he wants to visit all of the secret tunnels beneath the city. To travel in a tunnel, he has to walk to the entrance of the tunnel and go out from the exit after a fabulous visit. He can choose where he starts and he will travel each of the tunnels once and only once. Now he wants to know, how long it will take him to visit all the tunnels (excluding the time when he is in the tunnels).

Input

The input contains mutiple testcases. Please process till EOF.
For each testcase, the first line contains two integers N (1 ≤ N ≤ 15), the side length of the square map and M (1 ≤ M ≤ 15), the number of tunnels.
The map of the city is given in the next N lines. Each line contains exactly N characters. Barrier is represented by “#” and empty grid is represented by “.”.
Then M lines follow. Each line consists of four integers x₁, y₁, x₂, y₂, indicating there is a tunnel with entrence in (x₁, y₁) and exit in (x₂, y₂). It’s guaranteed that (x₁, y₁) and (x₂, y₂) in the map are both empty grid.

Output

For each case, output a integer indicating the minimal time Bob will use in total to walk between tunnels.
If it is impossible for Bob to visit all the tunnels, output -1.

Sample Input

5 4....#...#................2 3 1 41 2 3 52 3 3 15 4 2 1

Sample Output

7
 
记忆化搜索
view code#include <iostream>#include <cstdio>#include <algorithm>#include <cstring>#include <queue>#include <vector>using namespace std;typedef long long ll;const int INF = 0x3f3f3f3f;int dp[15][1<<15];bool vis[15][1<<16];int bit[25], n, m;char str[20][20];int dis[25][25], ans, tot;int dx[4] = {0, 0, -1, 1};int dy[4] = {-1, 1, 0, 0};struct node{    int x, y, dis;    node() {}    node(int x, int y, int dis):x(x),y(y),dis(dis) {}    bool operator == (const node &o){        return x==o.x && y==o.y;    }};struct edge{    node a, b;}sto[20];void init(){    for(int i=0; i<20; i++) bit[i] = 1<<i;}bool is_ok(int x, int y){    if(x<0 || x>=n || y<0 || y>=n || str[x][y]==‘#‘) return 0;    return true;}bool look[20][20];int getdis(node a, node b){    queue<node >q;    q.push(node(a.x, a.y, 0));    memset(look, 0, sizeof(look));    look[a.x][a.y]=1;    while(!q.empty())    {        node o = q.front(); q.pop();        if(o==b) return o.dis;        for(int i=0; i<4; i++)        {            int x = o.x+dx[i], y = o.y+dy[i];            if(!is_ok(x, y) || look[x][y]) continue;            q.push(node(x, y, o.dis+1));            look[x][y] = 1;        }    }    return INF;}int dfs(int u, int s){    if(vis[u][s]) return dp[u][s];    if(s==tot) return 0;    vis[u][s] = 1;    int &res = dp[u][s];    res = INF;    for(int i=0; i<n; i++)    {        if(bit[i]&s || u==i) continue;        res = min(dfs(i, s|bit[i])+dis[u][i], res);    }    return res;}void solve(){    for(int i=0; i<n; i++) scanf("%s", str[i]);    for(int i=0; i<m; i++)    {        scanf("%d%d%d%d", &sto[i].a.x, &sto[i].a.y, &sto[i].b.x, &sto[i].b.y);        sto[i].a.x --; sto[i].a.y--; sto[i].b.x--; sto[i].b.y--;        for(int j=0; j<i; j++)        {            dis[i][j] = getdis(sto[i].b, sto[j].a);            dis[j][i] = getdis(sto[j].b, sto[i].a);        }    }    memset(vis, 0, sizeof(vis));    int ans = INF;    tot = bit[m]-1;    for(int i=0; i<m; i++){        int tmp = dfs(i, bit[i]);        ans = min(tmp, ans);    }    if(ans==INF) ans = -1;    printf("%d\n", ans);}int main(){//    freopen("in.txt", "r", stdin);    init();    while(scanf("%d%d", &n, &m)>0) solve();    return 0;}