ALCATRAZ3 - THE HONEYCOMB MAZE


You won the lottery tickets to visit the famous Disneyland HongKong with the Taarak Mehta ka Ulta Chasma family and Subramaniam Iyer gets stuck in the Honey Comb maze. He has a Phone along with him and no one else to help him out. He calls you and asks for help. Chuck the story getting into the problem now , There are N x M blocks of Honey combs in the maze and you are given a starting point. your task is to help Mr. Iyer find out whether or not he can traverse the maze and return to his original position. The constraint being that a honey comb ( Block ) once visited cannot be visited again . Also , he has to make a minimum of 'k' number of moves before returning to the starting point .  The '.' represent the emty blocks whereas the '*' represent the blocks that can't be visited . from a block (x,y) Iyer can move only to blocks (x-1,y)  ,  (x+1,y)  ,  (x,y+1)  ,  (x,y-1) . Help Mr. Iyer return to his original position. 

Input

The first line of the input contains the dimensions  of the maze  ( N x M).

Second line of the input contains 'k' as described above .

The third line denotes the coordinates of the starting point ( 1-n ) , ( 1-m ) .

The next N lines contain the description of the Nth row .

Output

Output "YES" if it's possible . 

Else output "NO" .

Constraints:
1<=N,M<=100

Example

Input:
5 5
14
1 2
. . . * *
* . . . *
* . . . .
. * . . .
. * . . *
Output:
YES

 Explanation of the test case :
1,2 - 2,2 - 3,2 - 3,3 - 4,3 - 5,3 - 5,4 - 4,4 - 4,5 - 3,5 - 3,4 - 2,4 - 2,3 - 1,3 - 1,2

14 moves were made ( No. of dashes ( - )) .
So , its possible . Also , no blocks were repeated .

hide comments
thakur13: 2017-10-14 18:24:05

Input contains spaces.
AC using Dijkstra 0.0 sec

namitp: 2017-09-13 15:29:11

Easy One....
Ac in 2nd Go Spaces in input costed me 1 WA..

namitp: 2017-09-13 15:29:11

Easy One....
Ac in 2nd Go Spaces in input costed me 1 WA..

d_skyhawk: 2017-08-29 12:50:58

Just dfs

deepak_d14: 2017-08-24 09:21:09

AC in first go!!!! Use dfs and flood fill algorithm.

Last edit: 2017-08-24 09:21:24
namtran4194: 2017-07-23 08:47:08

see the testcases in http://spojtoolkit.com/, some testcases are special, i got AC after that

sas1905: 2017-06-20 06:25:21

@Sushovan Sen Input is space separated got many WA's because of that and @Rohit Agarwal for k=0 ans will be yes always..!!

Last edit: 2017-06-26 01:37:24
pranav0123: 2017-05-31 09:44:46

Is there any polynomial time algorithm to solve this problem. I applied an exponential algorithm using dfs and backtracking and it got accepted.

Rohit Agarwal: 2017-05-03 15:05:20

For K = 0 , and starting point being '.' then, the output should be YES. In the spoj toolkit the answer is mentioned as NO. What should be the correct output?

Last edit: 2017-05-03 15:05:51
Robert Lewon: 2017-04-21 13:38:17

I moved the problem to the basics section until improving test cases to disallow exponential solutions to get a correct result.


Added by:Alcatraz
Date:2017-01-29
Time limit:0.100s-1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64 GOSU
Resource:Own Problem