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WAYS2 - FREE PATHS |
Problem Statement:
Consider a block of m rows and n columns. At each step you can move
one step to the right or one step to bottom or one step to bottom-right.
i.e. if you are currently at (x,y) : x-row, y-column
u can either move to (x,y+1) or (x+1,y) or (x+1,y+1)
You’ve to find the number of possibilities to reach the point (A,B) from (0,0).
Unluckily you cannot step into some places where bombs are placed denoted by “@”.
Input:
The first line consists of 2 integers m and n denotes the number of rows and columns.
Then the description of the m x n block is given.
(‘0’- if the path is free to move and ‘@’-if the path has bombs and u cannot move to that place)
Then an integer t follows which denotes the number of test cases.
Then for next t lines each line consists of 2 integers A and B.
Output:
For each test case print the number of possibilities of reaching (A,B) from (0,0) in separate lines.
Input Constraints:
2<=m<=10
2<=n<=10
m>A>=0
n>B>=0
EXAMPLE:
SAMPLE INPUT:
3 6
000@@@
@@00@@
@@000@
8
0 1
0 4
1 3
2 3
2 4
1 2
2 2
2 5
SAMPLE OUTPUT:
1
0
3
7
10
2
2
0
EXPLANATION OF THE TESTCASE:
From the figure clearly u can see that there are 3 paths to (1,3), 7 paths to (2,3), 10 paths to (2,4) and so..
Note: if u can't see the image clearly goto the following link:
https://docs.google.com/uc?id=0B0rk3iRD6D_JYjAxMzAxNTEtYjU3YS00OWVhLWEyNzgtOWUzN2NmMmRmZDJh&export=download&authkey=CK-7vYoI&hl=en_US
Added by: | cegprakash |
Date: | 2011-05-20 |
Time limit: | 0.100s-1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All |
Resource: | own problem |