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This puzzle can be solved using the following concepts. Practice using these concepts and improve your skills.

Statement

 Goal

We have a snail race we will have to determine the winner !
- The number of snails is given in the variable numberSnails.
- Each snail has a speed given in the variable speedSnail
- You have a map of the game with a height of mapHeight and a width of mapWidth.

On the map we have:
number that represents a snail from 1 to numberSnails
* which represents a place where the snail can go
# which represents the destination

Snails can go right, left, up, down. Snails cannot go diagonally.
The snail takes the path closest to it.


example of the game :

snail 1 speed 2
snail 2 speed 1

start :

1****#
2****#

time = 1

**1**#
*2***#

time = 2

****1#
**2**#

time=3

*****1
***2*#

End :

return 1

For each race there is only one winner.
Input
Line 1: An integer numberSnails for the number of snails.
Next numberSnails lines: An integer speedSnail for the speed of a snail.
Next line: An integer mapHeight which is the height of the map.
Next line: An integer mapWidth which is the width of the map.
Next mapHeight lines: A string ROW for one line of the map.
Output
A number that represents the winner of the race
Constraints
2 ≤ numberSnails ≤ 6
0 ≤ speedSnail ≤ 6
2 ≤ mapHeight ≤ 6
5 ≤ mapWidth ≤ 9
Example
Input
3
2
3
5
3
6
1****#
2****#
3****#
Output
3

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