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
harshiscoding: 2021-01-11 14:52:17

i have seen episode, iyer couldn't go in hong kong

sarkybastard: 2020-09-24 23:55:32

The defining feature of a honeycomb is its hexagonal structure, so to call this problem honeycomb maze, and then define it as a square matrix is whatchamacallit... daft.

arnav7060: 2020-09-16 19:48:28

Got accepted in 13th try. If you are a beginner like me in these concepts. Don't worry even one complete question can take your full day but you would get to learn a lot.

father3301: 2020-08-22 05:59:51

what about 1,1 in explanation

sadman15019: 2020-08-19 19:30:23

solved using direction array and basic dfs concept..keep in mind that the cycle can be "greater than" or "equal" to k.

aditop: 2020-06-22 19:51:52

The problem has an exponential time solution. Hint: Try to use backtracking and find the required path (similar to exhaustive search!)

snorlax186: 2020-06-20 21:25:45

Phew, AC in 3rd Go. I forgot the maze was one indexed!

Last edit: 2020-06-20 22:15:18
sajalagrawal14: 2020-01-04 16:33:26

remember
1)it is longest path algorithm in which no polynomial time complexicity algorithm is known . only exponential will work.
2)in certain cases of of longest path algorithm like trees , polynomial tc is known

sofianelew_97: 2019-09-14 10:55:30

can anyone give me the solution, it looks like a dfs is too expensive, isn't it?

Harish Reddy Kolanu: 2019-01-23 14:56:19

Ac using DFS. Easy one


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