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## Page 1

10908
Largest Square
Given a rectangular grid of characters you have to find out the length of a side of the largest square such
that all the characters of the square are same and the center [intersecting point of the two diagonals]
of the square is at location (r, c). The height and width of the grid is M and N respectively. Upper
left corner and lower right corner of the grid will be denoted by (0, 0) and (M −1, N −1) respectively.
Consider the grid of characters given below. Given the location (1, 2) the length of a side of the largest
square is 3.
abbbaaaaaa
abbbaaaaaa
abbbaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaccaaaaaa
aaccaaaaaa
Input
The input starts with a line containing a single integer T (< 21). This is followed by T test cases. The
first line of each of them will contain three integers M, N and Q (< 21) separated by a space where
M, N denotes the dimension of the grid. Next follows M lines each containing N characters. Finally,
there will be Q lines each containing two integers r and c. The value of M and N will be at most 100.
Output
For each test case in the input produce Q + 1 lines of output. In the first line print the value of M, N
and Q in that order separated by single space. In the next Q lines, output the length of a side of the
largest square in the corresponding grid for each (r, c) pair in the input.
Sample Input
1
7 10 4
abbbaaaaaa
abbbaaaaaa
abbbaaaaaa
aaaaaaaaaa
aaaaaaaaaa
aaccaaaaaa
aaccaaaaaa
1 2
2 4
4 6
5 2
Sample Output
7 10 4


## Page 2

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