| Time Limit: 1000MS | Memory Limit: 32768KB | 64bit IO Format: %I64d & %I64u |
Description
Pass a year learning in Hangzhou, yifenfei arrival hometown Ningbo at finally. Leave Ningbo one year, yifenfei have many people to meet. Especially a good friend Merceki.
Yifenfei’s home is at the countryside, but Merceki’s home is in the center of city. So yifenfei made arrangements with Merceki to meet at a KFC. There are many KFC in Ningbo, they want to choose one that let the total time to it be most smallest.
Now give you a Ningbo map, Both yifenfei and Merceki can move up, down ,left, right to the adjacent road by cost 11 minutes.
Yifenfei’s home is at the countryside, but Merceki’s home is in the center of city. So yifenfei made arrangements with Merceki to meet at a KFC. There are many KFC in Ningbo, they want to choose one that let the total time to it be most smallest.
Now give you a Ningbo map, Both yifenfei and Merceki can move up, down ,left, right to the adjacent road by cost 11 minutes.
Input
The input contains multiple test cases.
Each test case include, first two integers n, m. (2<=n,m<=200).
Next n lines, each line included m character.
‘Y’ express yifenfei initial position.
‘M’ express Merceki initial position.
‘#’ forbid road;
‘.’ Road.
‘@’ KCF
Each test case include, first two integers n, m. (2<=n,m<=200).
Next n lines, each line included m character.
‘Y’ express yifenfei initial position.
‘M’ express Merceki initial position.
‘#’ forbid road;
‘.’ Road.
‘@’ KCF
Output
For each test case output the minimum total time that both yifenfei and Merceki to arrival one of KFC.You may sure there is always have a KFC that can let them meet.
Sample Input
4 4
Y.#@
….
.#..
@..M
4 4
Y.#@
….
.#..
@#.M
5 5
Y..@.
.#…
.#…
@..M.
#…#
Sample Output
66
88
66
Source
奋斗的年代
思路：首先确定使用BFS解决，其次是具体实现方式。有两个起点，若干个终点，要从两个起点分别向地图中每个点BFS，求出那两个点到其他所有点的距离，再对每个KFC的距离求和，找出和最小的点就是答案。
地图大小200*200而且是多组数据，时间内存开销都较大，一定要注意去重，否则会TLE或MLE。
AC代码：
#include <cstdio>
#include <cstring>
#include <queue>
#include <algorithm>
using namespace std;
int n, m, ans;
const int dx[] = {0, 0, 1, -1},
dy[] = {1, -1, 0, 0};
struct node
{
int x, y, step;
}start[2];
char map[205][205];
bool vis[205][205];
int dis[2][205][205];
void input()
{
char tmp[210];
for (int i = 0; i < n; i++)
{
scanf("%s", map[i]);
for (int j = 0; j < m; j++)
{
if (map[i][j] == 'Y')
start[0] = (node){i, j, 0};
if (map[i][j] == 'M')
start[1] = (node){i, j, 0};
}
}
}
inline bool check(int x, int y)
{
if (map[x][y] == '#' || vis[x][y] ||
x < 0 || x > n ||
y < 0 || y > m)
return 0;
return 1;
}
void bfs(int s)
{
queue <node> q;
memset(vis, 0, sizeof(vis));
q.push(start[s]);
while (!q.empty())
{
node u = q.front();
q.pop();
int nowx = u.x, nowy = u.y;
if (vis[nowx][nowy])
continue;
vis[nowx][nowy] = 1;
dis[s][nowx][nowy] = u.step;
node next;
for (int i = 0; i < 4; i++)
{
next.x = nowx + dx[i];
next.y = nowy + dy[i];
if (check(next.x, next.y))
{
next.step = u.step + 11;
q.push(next);
}
}
}
}
void solve()
{
int sum;
ans = 0x3f3f3f3f;
memset(dis, 0, sizeof(dis));
bfs(0);
bfs(1);
for (int i = 0; i < n; i++)
for (int j = 0; j < m; j++)
if (map[i][j] == '@' && dis[0][i][j] && dis[1][i][j])
{
sum = dis[0][i][j] + dis[1][i][j];
if (ans > sum)
ans = sum;
}
printf("%d\n", ans);
}
int main()
{
while (scanf("%d%d", &n, &m) == 2)
{
input();
solve();
}
return 0;
}