杭电1242--Rescue（BFS+优先队列）Rescue

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Rescue

Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 20821 Accepted Submission(s): 7429

Problem Description

Angel was caught by the MOLIGPY! He was put in prison by Moligpy. The prison is described as a N * M (N, M <= 200) matrix. There are WALLs, ROADs, and GUARDs in the prison.

Angel's friends want to save Angel. Their task is: approach Angel. We assume that "approach Angel" is to get to the position where Angel stays. When there's a guard in the grid, we must kill him (or her?) to move into the grid. We assume that we moving up, down, right, left takes us 1 unit time, and killing a guard takes 1 unit time, too. And we are strong enough to kill all the guards.

You have to calculate the minimal time to approach Angel. ( We can move only UP, DOWN, LEFT and RIGHT, to the neighbor grid within bound, of course.)

Input

First line contains two integers stand for N and M.

Then N lines follows, every line has M characters. "." stands for road, "a" stands for Angel, and "r" stands for each of Angel's friend.

Process to the end of the file.

Output

For each test case, your program should output a single integer, standing for the minimal time needed. If such a number does no exist, you should output a line containing "Poor ANGEL has to stay in the prison all his life."

Sample Input

7 8

#.#####.

#.a#..r.

#..#x...

..#..#.#

#...##..

.#......

........

Sample Output

13

Author

CHEN, Xue

Source

ZOJ Monthly, October 2003

Recommend

Eddy | We have carefully selected several similar problems for you: 1240 1016 1010 1072 1253

//第一道这样的题，思路大致了解:

　　用最少时间找到天使 → → 天使找到最近朋友用的时间;

复制代码

1 #include <queue>
 2 #include <cstdio>
 3 #include <cstring>
 4 #include <iostream>
 5 using namespace std;
 6
 7
 8 int dir[4][2]={-1, 0, 1, 0, 0, -1, 0, 1};
 9 char map[220][220];
int vis[220][220];
10 int i, j, m, n;
11
12 struct prision
13 {
14
int x, y, time;
15
friend bool operator < (prision x, prision y)
16 
{
17
return x.time > y.time;
//从小
→
大； 
18 
}
19 } current, next;
20
21
22 int BFS(int x,int y)
23 {
24
25
26
priority_queue <prision>q;
27 
prision current,next;
28
memset(vis,0,sizeof(vis));
29
30
current.x=x;
31
current.y=y;
32
current.time=0;
33
vis[current.x][current.y]=1;
34 
q.push(current);
35
36
37
while(!q.empty())
38 
{
39
40
current=q.top();
41 
q.pop();
42
for(int i=0;i<4;i++)
43 
{
44
next.x=current.x+dir[i][0];
45
next.y=current.y+dir[i][1];
46
47
if(next.x>=0&&next.x<n&&next.y>=0&&next.y<m&&map[next.x][next.y]!='#'&&!vis[next.x][next.y])
48 
{
49
50
if(map[next.x][next.y]=='r')
51
return current.time+1;
52
53
if(map[next.x][next.y]=='x')
54
next.time=current.time+2;
55
else
56
next.time=current.time+1;
57
vis[next.x][next.y]=1;
58 
q.push(next);
59 
}
60 
}
61 
}
62
return -1;
63 }
64
65
66 int main()
67 {
68 
prision angle;
69
while(~scanf("%d %d", &n, &m))
70 
{
71
for(i=0; i<n; i++)
72 
{
73
for(j=0; j<m; j++)
74 
{
75
cin >> map[i][j];
76
if(map[i][j] == 'a')
77 
{
78
angle.x = i;
79
angle.y = j;
80 
}
81 
}
82 
}
83
int time = BFS(angle.x, angle.y);
84
85
if(time == -1)
86
cout <<"Poor ANGEL has to stay in the prison all his life."<<endl;
87
else
88
cout <<time<< endl;
89 
}
90
return 0;
91 }

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 1 #include <queue>
 2 #include <cstdio>
 3 #include <cstring>
 4 #include <iostream>
 5 using namespace std;
 6
 7
 8 int dir[4][2]={-1, 0, 1, 0, 0, -1, 0, 1};
 9 char map[220][220];
int vis[220][220];
10 int i, j, m, n;
11
12 struct prision
13 {
14
int x, y, time;
15
friend bool operator < (prision x, prision y)
16 
{
17
return x.time > y.time;
//从小
→
大； 
18 
}
19 } current, next;
20
21
22 int BFS(int x,int y)
23 {
24
25
26
priority_queue <prision>q;
27 
prision current,next;
28
memset(vis,0,sizeof(vis));
29
30
current.x=x;
31
current.y=y;
32
current.time=0;
33
vis[current.x][current.y]=1;
34 
q.push(current);
35
36
37
while(!q.empty())
38 
{
39
40
current=q.top();
41 
q.pop();
42
for(int i=0;i<4;i++)
43 
{
44
next.x=current.x+dir[i][0];
45
next.y=current.y+dir[i][1];
46
47
if(next.x>=0&&next.x<n&&next.y>=0&&next.y<m&&map[next.x][next.y]!='#'&&!vis[next.x][next.y])
48 
{
49
50
if(map[next.x][next.y]=='r')
51
return current.time+1;
52
53
if(map[next.x][next.y]=='x')
54
next.time=current.time+2;
55
else
56
next.time=current.time+1;
57
vis[next.x][next.y]=1;
58 
q.push(next);
59 
}
60 
}
61 
}
62
return -1;
63 }
64
65
66 int main()
67 {
68 
prision angle;
69
while(~scanf("%d %d", &n, &m))
70 
{
71
for(i=0; i<n; i++)
72 
{
73
for(j=0; j<m; j++)
74 
{
75
cin >> map[i][j];
76
if(map[i][j] == 'a')
77 
{
78
angle.x = i;
79
angle.y = j;
80 
}
81 
}
82 
}
83
int time = BFS(angle.x, angle.y);
84
85
if(time == -1)
86
cout <<"Poor ANGEL has to stay in the prison all his life."<<endl;
87
else
88
cout <<time<< endl;
89 
}
90
return 0;
91 }

复制代码

1 #include <queue>

2 #include <cstdio>

3 #include <cstring>

4 #include <iostream>

5 using namespace std;

7 int n, m;

8 //const int maxn = 220;

9 int vis[220][220]; char map[220][220];
 10 int ac[4][2] = {0, 1, 0, -1, -1, 0, 1, 0};
 11
 12 struct male
 13 {
 14
int x, y, step;
 15
friend bool operator < (male x, male y)
 16 
{
 17
return x.step > y.step;
 18 
}
 19 } s, t;
 20
 21 int Bfs(int x, int y)
 22 {
 23 //
int nx, ny;
 24
 25
priority_queue <male> q;
 26
memset(vis, 0, sizeof(vis));
 27
vis[x][y] = 1;
 28
s.x = x; s.y = y; s.step = 0;
 29 
q.push(s);
 30 
male now;
 31
while(!q.empty())
 32 
{
 33
t = q.top(); q.pop();
 34
for(int i=0; i<4; i++)
 35 
{
 36
now.x = t.x + ac[i][0];
 37
now.y = t.y + ac[i][1];
 38
if(now.x >= 0 && now.x < n && now.y >= 0 && now.y < m && !vis[now.x][now.y] && map[now.x][now.y] != '#')
 39 
{
 40
if(map[now.x][now.y] == 'r')
 41
return t.step + 1;
 42
else if(map[now.x][now.y] == '.')
 43
now.step = t.step + 1;
 44
else
 45
now.step = t.step + 2;
 46
vis[now.x][now.y] = 1;
 47 
q.push(now);
 48 
}
 49 
}
 50 
}
 51
return -1;
 52 }
 53 int main()
 54 {
 55 
male angle;
 56
int i, j, x, y;
 57
while(~scanf("%d %d", &n, &m))
 58 
{
 59
for(int i = 0; i < n; i++)
 60 
{
 61
for(int j = 0; j < m; j++)
 62 
{
 63
cin >> map[i][j];
 64
if(map[i][j] == 'a')
 65 
{
 66
angle.x = i;
angle.y = j;
 67 
}
 68 
}
 69 
}
 70
int time = Bfs(angle.x, angle.y);
 71
if(time == -1)
 72
printf("Poor ANGEL has to stay in the prison all his life.n");
 73
else
 74
printf("%dn", time);
 75 
}
 76
return 0;
 77 }
 78
 79 /*#include <queue>
 80 #include <cstdio>
 81 #include <cstring>
 82 #include <iostream>
 83 using namespace std;
 84 const int maxn = 220;
 85 char map[maxn][maxn];
 86 int m, n, vis[maxn][maxn];
 87 int ac[4][2] = {0, 1, 0, -1, -1, 0, 1, 0};
 88
 89 struct male
 90 {
 91 
int x, y, t;
 92 
bool friend operator < (male x, male y)
 93 
{
 94 
return x.t > y.t;
 95 
}
 96 }s, t, now;
 97
 98 int Bfs(int x,int y)
 99 {
100 
memset(vis, 0, sizeof(vis));
101 
priority_queue <male> q;
102 
vis[x][y] = 1;
103 
s.x = x; s.y = y; s.t = 0;
104 
q.push(s);
105 
while(!q.empty())
106 
{
107 
t = q.top(); q.pop();
108 
for(int i = 0; i < 4; i++)
109 
{
110 
now.x = t.x + ac[i][0];
111 
now.y = t.y + ac[i][1];
112 
//
printf("%d %dn", now.x, now.y);
113 
if(now.x >= 0 && now.x < m && now.y >= 0 && now.y < n && !vis[now.x][now.y] && map[now.x][now.y] != '#')
//容易错；
114 
{
115 
if(map[now.x][now.y] == 'r')
116 
return t.t + 1;
117 
else if(map[now.x][now.y] == '.')
118 
now.t = t.t + 1;
119 
else
120 
now.t = t.t + 2;
121 
vis[now.x][now.y] = 1;
// so important ;
122 
q.push(now);
123 
}
124 
}
125 
}
126 
return -1;
127 }
128
129 int main()
130 {
131 
int x, y;
132 
while(~scanf("%d %d", &m, &n))
133 
{
134 
for(int i = 0; i < m; i++)
135 
{
136 
for(int j = 0; j < n; j++)
137 
{
138 
cin >> map[i][j];
139 
if(map[i][j] == 'a')
140 
{
141 
x = i; y = j;
142 
}
143 
}
144 
}
145 
//printf("%d %dn", x, y);
146 
int time = Bfs(x, y);
147 
if(time == -1)
148 
printf("Poor ANGEL has to stay in the prison all his life.n");
149 
else
150 
printf("%dn", time);
151 
}
152 
return 0;
153 }*/

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1 #include <queue>

2 #include <cstdio>

3 #include <cstring>

4 #include <iostream>

5 using namespace std;

6

7 int n, m;

8 //const int maxn = 220;

9 int vis[220][220]; char map[220][220];
 10 int ac[4][2] = {0, 1, 0, -1, -1, 0, 1, 0};
 11
 12 struct male
 13 {
 14
int x, y, step;
 15
friend bool operator < (male x, male y)
 16 
{
 17
return x.step > y.step;
 18 
}
 19 } s, t;
 20
 21 int Bfs(int x, int y)
 22 {
 23 //
int nx, ny;
 24
 25
priority_queue <male> q;
 26
memset(vis, 0, sizeof(vis));
 27
vis[x][y] = 1;
 28
s.x = x; s.y = y; s.step = 0;
 29 
q.push(s);
 30 
male now;
 31
while(!q.empty())
 32 
{
 33
t = q.top(); q.pop();
 34
for(int i=0; i<4; i++)
 35 
{
 36
now.x = t.x + ac[i][0];
 37
now.y = t.y + ac[i][1];
 38
if(now.x >= 0 && now.x < n && now.y >= 0 && now.y < m && !vis[now.x][now.y] && map[now.x][now.y] != '#')
 39 
{
 40
if(map[now.x][now.y] == 'r')
 41
return t.step + 1;
 42
else if(map[now.x][now.y] == '.')
 43
now.step = t.step + 1;
 44
else
 45
now.step = t.step + 2;
 46
vis[now.x][now.y] = 1;
 47 
q.push(now);
 48 
}
 49 
}
 50 
}
 51
return -1;
 52 }
 53 int main()
 54 {
 55 
male angle;
 56
int i, j, x, y;
 57
while(~scanf("%d %d", &n, &m))
 58 
{
 59
for(int i = 0; i < n; i++)
 60 
{
 61
for(int j = 0; j < m; j++)
 62 
{
 63
cin >> map[i][j];
 64
if(map[i][j] == 'a')
 65 
{
 66
angle.x = i;
angle.y = j;
 67 
}
 68 
}
 69 
}
 70
int time = Bfs(angle.x, angle.y);
 71
if(time == -1)
 72
printf("Poor ANGEL has to stay in the prison all his life.n");
 73
else
 74
printf("%dn", time);
 75 
}
 76
return 0;
 77 }
 78
 79 /*#include <queue>
 80 #include <cstdio>
 81 #include <cstring>
 82 #include <iostream>
 83 using namespace std;
 84 const int maxn = 220;
 85 char map[maxn][maxn];
 86 int m, n, vis[maxn][maxn];
 87 int ac[4][2] = {0, 1, 0, -1, -1, 0, 1, 0};
 88
 89 struct male
 90 {
 91 
int x, y, t;
 92 
bool friend operator < (male x, male y)
 93 
{
 94 
return x.t > y.t;
 95 
}
 96 }s, t, now;
 97
 98 int Bfs(int x,int y)
 99 {
100 
memset(vis, 0, sizeof(vis));
101 
priority_queue <male> q;
102 
vis[x][y] = 1;
103 
s.x = x; s.y = y; s.t = 0;
104 
q.push(s);
105 
while(!q.empty())
106 
{
107 
t = q.top(); q.pop();
108 
for(int i = 0; i < 4; i++)
109 
{
110 
now.x = t.x + ac[i][0];
111 
now.y = t.y + ac[i][1];
112 
//
printf("%d %dn", now.x, now.y);
113 
if(now.x >= 0 && now.x < m && now.y >= 0 && now.y < n && !vis[now.x][now.y] && map[now.x][now.y] != '#')
//容易错；
114 
{
115 
if(map[now.x][now.y] == 'r')
116 
return t.t + 1;
117 
else if(map[now.x][now.y] == '.')
118 
now.t = t.t + 1;
119 
else
120 
now.t = t.t + 2;
121 
vis[now.x][now.y] = 1;
// so important ;
122 
q.push(now);
123 
}
124 
}
125 
}
126 
return -1;
127 }
128
129 int main()
130 {
131 
int x, y;
132 
while(~scanf("%d %d", &m, &n))
133 
{
134 
for(int i = 0; i < m; i++)
135 
{
136 
for(int j = 0; j < n; j++)
137 
{
138 
cin >> map[i][j];
139 
if(map[i][j] == 'a')
140 
{
141 
x = i; y = j;
142 
}
143 
}
144 
}
145 
//printf("%d %dn", x, y);
146 
int time = Bfs(x, y);
147 
if(time == -1)
148 
printf("Poor ANGEL has to stay in the prison all his life.n");
149 
else
150 
printf("%dn", time);
151 
}
152 
return 0;
153 }*/