Crossword

Vasya trains to compose crossword puzzles. He can only compose crosswords of a very simplе type so far. All of them consist of exactly six words; the words can be read only from top to bottom vertically and from the left to the right horizontally. The words are arranged in the form of a rectangular "eight" or infinity sign, not necessarily symmetrical.

The top-left corner of the crossword coincides with the top-left corner of the rectangle. The same thing is correct for the right-bottom corners. The crossword can't degrade, i.e. it always has exactly four blank areas, two of which are surrounded by letters. Look into the output for the samples for clarification.

Help Vasya — compose a crossword of the described type using the given six words. It is allowed to use the words in any order.

Input

Six lines contain the given words. Every word consists of no more than 30 and no less than 3 uppercase Latin letters.

Output

If it is impossible to solve the problem, print Impossible. Otherwise, print the sought crossword. All the empty squares should be marked as dots.

If there can be several solutions to that problem, print the lexicographically minimum one. I.e. the solution where the first line is less than the first line of other solutions should be printed. If the two lines are equal, compare the second lines and so on. The lexicographical comparison of lines is realized by the < operator in the modern programming languages.

Examples

Input

NOD BAA YARD AIRWAY NEWTON BURN

Output

BAA... U.I... R.R... NEWTON ..A..O ..YARD

Input

AAA AAA AAAAA AAA AAA AAAAA

Output

AAA.. A.A.. AAAAA ..A.A ..AAA

Input

PTC JYNYFDSGI ZGPPC IXEJNDOP JJFS SSXXQOFGJUZ

Output

JJFS.... Y..S.... N..X.... Y..X.... F..Q.... D..O.... S..F.... G..G.... IXEJNDOP ...U...T ...ZGPPC

inputFormat

outputFormat

output for the samples for clarification.

Help Vasya — compose a crossword of the described type using the given six words. It is allowed to use the words in any order.

Input

Six lines contain the given words. Every word consists of no more than 30 and no less than 3 uppercase Latin letters.

Output

If it is impossible to solve the problem, print Impossible. Otherwise, print the sought crossword. All the empty squares should be marked as dots.

If there can be several solutions to that problem, print the lexicographically minimum one. I.e. the solution where the first line is less than the first line of other solutions should be printed. If the two lines are equal, compare the second lines and so on. The lexicographical comparison of lines is realized by the < operator in the modern programming languages.

Examples

Input

NOD BAA YARD AIRWAY NEWTON BURN

Output

BAA... U.I... R.R... NEWTON ..A..O ..YARD

Input

AAA AAA AAAAA AAA AAA AAAAA

Output

AAA.. A.A.. AAAAA ..A.A ..AAA

Input

PTC JYNYFDSGI ZGPPC IXEJNDOP JJFS SSXXQOFGJUZ

Output

JJFS.... Y..S.... N..X.... Y..X.... F..Q.... D..O.... S..F.... G..G.... IXEJNDOP ...U...T ...ZGPPC

样例

NOD
BAA
YARD
AIRWAY
NEWTON
BURN

BAA...
U.I...
R.R...
NEWTON
..A..O
..YARD

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