A diamond mine is an R-row by C-column grid of 0s and 1s.
A diamond is the boundary of a square made of 1s after the square is rotated by 45 degrees. Diamonds of sizes 1, 2, and 3 look like this:
size 1: size 2: size 3: 1 1 1 1 1 1 1 1 1 1 1 1 1
Write a program that finds the size of the largest diamond that can be formed in the grid.
Input
The first line contains R and C. Both R and C are positive integers no greater than 750. Each of the next R lines describes one row of the diamond mine using 0s and 1s.
Output
Print the size of the largest diamond in the mine. If there is no diamond, print 0.