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B. Nice table

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou are given an $$$n \times m$$$ table, consisting of characters «A», «G», «C», «T». Let's call a table nice, if every $$$2 \times 2$$$ square contains all four distinct characters. Your task is to find a nice table (also consisting of «A», «G», «C», «T»), that differs from the given table in the minimum number of characters.

Input

First line contains two positive integers $$$n$$$ and $$$m$$$ — number of rows and columns in the table you are given ($$$2 \leq n, m, n \times m \leq 300\,000$$$). Then, $$$n$$$ lines describing the table follow. Each line contains exactly $$$m$$$ characters «A», «G», «C», «T».

Output

Output $$$n$$$ lines, $$$m$$$ characters each. This table must be nice and differ from the input table in the minimum number of characters.

Examples

Input

2 2 AG CT

Output

AG CT

Input

3 5 AGCAG AGCAG AGCAG

Output

TGCAT CATGC TGCAT

Note

In the first sample, the table is already nice. In the second sample, you can change 9 elements to make the table nice.

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