Andrew has just made a breakthrough in computer science: he realized how to quickly find the largest palindrome square on a given rectangle of letters. Can you do the same? A square consisting of n rows of n letters each is a palindrome square of size n if each row and each column of this square is a palindrome string. A string is a palindrome string if its first letter is the same as its last letter, its second letter is the same as its next-to-last letter, and so on.
The first line of the input file contains two integers h and w (1 ≤ h,w ≤ 700) — the height and width of the given rectangle of letters. The next h lines contain w lowercase English letters each — the given rectangle of letters itself.
Output the coordinates of the largest palindrome square that is a part of the given rectangle of letters. Output four integers: the first row of the square, the first column of the square, the last row of the square, the last column of the square. The rows are numbered from 1 to h, the columns are numbered from 1 to w. If there are several solutions, output any.

sample input	sample output
5 10 abccbfghij abccbfghij abccbfghij abccbfghij abcdefghij	1 2 4 5