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D. Constellation

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputA star map in Berland is a checked field *n* × *m* squares. In each square there is or there is not a star. The favourite constellation of all Berland's astronomers is the constellation of the Cross. This constellation can be formed by any 5 stars so, that for some integer *x* (radius of the constellation) the following is true:

- the 2nd is on the same vertical line as the 1st, but
*x*squares up - the 3rd is on the same vertical line as the 1st, but
*x*squares down - the 4th is on the same horizontal line as the 1st, but
*x*squares left - the 5th is on the same horizontal line as the 1st, but
*x*squares right

Such constellations can be very numerous, that's why they are numbered with integers from 1 on the following principle: when two constellations are compared, the one with a smaller radius gets a smaller index; if their radii are equal — the one, whose central star if higher than the central star of the other one; if their central stars are at the same level — the one, whose central star is to the left of the central star of the other one.

Your task is to find the constellation with index *k* by the given Berland's star map.

Input

The first line contains three integers *n*, *m* and *k* (1 ≤ *n*, *m* ≤ 300, 1 ≤ *k* ≤ 3·10^{7}) — height and width of the map and index of the required constellation respectively. The upper-left corner has coordinates (1, 1), and the lower-right — (*n*, *m*). Then there follow *n* lines, *m* characters each — description of the map. *j*-th character in *i*-th line is «*», if there is a star in the corresponding square, and «.» if this square is empty.

Output

If the number of the constellations is less than *k*, output -1. Otherwise output 5 lines, two integers each — coordinates of the required constellation. Output the stars in the following order: central, upper, lower, left, right.

Examples

Input

5 6 1

....*.

...***

....*.

..*...

.***..

Output

2 5

1 5

3 5

2 4

2 6

Input

5 6 2

....*.

...***

....*.

..*...

.***..

Output

-1

Input

7 7 2

...*...

.......

...*...

*.***.*

...*...

.......

...*...

Output

4 4

1 4

7 4

4 1

4 7

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

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