COCI 2007/2008, Contest #2

Task PRVA

Little Ivica solves crossword puzzles every day. In case you haven't seen one, a crossword puzzle starts on a grid of R×C squares, each of which is either empty or blocked. The player's task is to write words in consecutive empty squares vertically (top down) or horizontally (left to right).

Ivica's sister has a strange habit of looking at crosswords Ivica has finished solving, and finding the lexicographically smallest word in it. She only considers words at least 2 characters long.

Write a program that, given a crossword puzzle, finds that word.

Input

The first line contains two integers R and C (2 ≤ R, C ≤ 20), the number of rows and columns in the crossword.

Each of the following R lines contains a string of C characters. Each of those characters is either a lowercase letter of the English alphabet, or the character '#' representing a blocked square.

The input will be such that a solution will always exist.

Output

Output the lexicographically smallest word in the crossword.

Examples

Input

4 4
luka
o#a#
kula
i#a#

Output

kala

Input

4 4
luka
o#a#
kula
i#as

Output

as

Input

4 5
adaca
da##b
abb#b
abbac

Output

abb

All Submissions
Best Solutions


Point Value: 7
Time Limit: 1.00s
Memory Limit: 32M
Added: Jul 30, 2013

Languages Allowed:
C++03, PAS, C, HASK, ASM, RUBY, PYTH2, JAVA, PHP, SCM, CAML, PERL, C#, C++11, PYTH3

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