SPIKES - Spiky Mazes

Jarmtin is interested in cultures and the history behind them. Of course this interest has a reason: as he studies the choivans' past he discovers the hidden entrances of mazes he knows contain valuable information. However there is a catch: the mazes contain spiky traps! Jarmtin is quite the agile type, but there is a limit to everyone, thus he will only be able to avoid a number of traps. This motivates the question can he make it through the mazes?

Input

The first line of a test case contains three integers n, m and j. n (2<=n<=40) the number of rows, m (2<=n<=40) the width of each row and j (0<=j<=20) the number of times Jarmtin can avoid spikes. Then n lines containing m characters; The character 'x' will be used for the place of the treasure, '@' for an entrance (which is also an exit), '#' for walls, '.' for a safe walking tile and 's' for spikes. Note that you cannot walk into walls and the maze is completely surrounded by walls outside what you can see. There is always at least one entrance/exit and always an x where the treasure is.

Output

You should output "SUCCESS" if Jarmtin can make it in and out alive, and "IMPOSSIBLE" if there is no way you can make it out alive.

Sample Input / Output

Example 1:

Input:
3 3 2
#@#
#s#
#x#

Output:
SUCCESS

Example 2:

Input:
4 4 3
####
@.s#
##.#
#xs#

Output:
IMPOSSIBLE

Added by:Laurens
Date:2013-08-10
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64
Resource:Self created problem

hide comments
2019-11-26 18:35:47
Nice problem but weak test cases. Even partially correct solution passes.

Last edit: 2019-11-26 18:36:07
2019-07-18 22:45:52
Here is a hint to a different approach: Use Dijkstra's algorithm.
2019-03-27 07:50:10
Poorly written.Real question is there a path from any @ to x such that number of spikes in that path is less than j/2
2019-03-21 07:33:35
when you done this problem:
also try on this:
6 5 3
#####
@ss#@
##.#.
@ss.s
#####
#####
ans:
SUCCESS.
//happy coding.
2018-11-20 14:00:10
I am getting runtime error (NZEC)...can anyone tell me how to rectify it?
2018-09-28 21:55:13
A must do problem for understanding backtracking in DFS.
2018-06-13 08:57:32
The problem is to find the entrance/exit which is at least spike-distance from the treasure. He will enter as well as exit from the same cell.
2017-09-20 05:38:17
Weak test cases.
2017-07-29 18:29:12
This prob gave me some hope in backtracking :)

Last edit: 2017-07-29 18:38:37
2017-05-23 06:38:24
@andrewfang_21
See last sentence of input paragraph.
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