A 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.