# FloodIt

After solving all other problems, XORin, Lu-chan and Golgo decided to relax with a game of FloodIt.

The game is played on a 14×14 square board. There are 6 available colors, numbered from 0 to 5. Initially, each cell contains exactly one color. Your task is to clear the board (that is, reach a configuration where all 196 cells have exactly the same color).

In order to reach the goal, you can make at most 25 steps. A step is defined as choosing one color and applying a four-way Flood fill algorithm on the top-left corner. All cells reached by the flood fill acquire the color you have chosen.

## Input

The input contains the initial configuration of the game, on 14 different lines.

There are 40 tests. You can see the first 39 of them here.

## Output

The output should contain a sequence an of no more than 25 integers. Each integer ai represents the color you choose at step i. Your solution will be accepted only if it clears the entire board. It is guaranteed that at least one solution exists.

## Sample

Input
Output
15254145520131
24303530051050
54411023142542
34124544510531
44340010423531
30454224451500
40335551333131
04313012420550
10114335425520
21133252143100
54400100211055
21524132151352
03145524510153
04533014405330
2 4 1 0 3 5 1 3 0 4 5 1 0 5 2 3 1 2 4 0 1 5
Questions?