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A Sudoku grid is a 16x16 grid of cells grouped in sixteen 4x4 squares, where some cells are filled with letters from A to P (the first 16 capital letters of the English alphabet), as shown in the figure. The game is to fill all the empty grid cells with letters from A to P such that each letter from the grid occurs once only in the line, the column, and the 4x4 square it occupies. The initial content of the grid satisfies the constraints mentioned above and guarantees a unique solution.

Input:

1
--A----C-----O-I 
-J--A-B-P-CGF-H-
--D--F-I-E----P-
-G-EL-H----M-J--
----E----C--G---
-I--K-GA-B---E-J 
D-GP--J-F----A--
-E---C-B--DP--O-
E--F-M--D--L-K-A 
-C--------O-I-L-
H-P-C--F-A--B---
---G-OD---J----H 
K---J----H-A-P-L 
--B--P--E--K--A-
-H--B--K--FI-C--
--F---C--D--H-N-

Output:

FPAHMJECNLBDKOGI 
OJMIANBDPKCGFLHE 
LNDKGFOIJEAHMBPC 
BGCELKHPOFIMAJDN 
MFHBELPOACKJGNID 
CILNKDGAHBMOPEFJ 
DOGPIHJMFNLECAKB 
JEKAFCNBGIDPLHOM 
EBOFPMIJDGHLNKCA 
NCJDHBAEKMOFIGLP 
HMPLCGKFIAENBDJO 
AKIGNODLBPJCEFMH 
KDEMJIFNCHGAOPBL 
GLBCDPMHEONKJIAF 
PHNOBALKMJFIDCEG 
IAFJOECGLDPBHMNK

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		<a href="/users/thanatipanonda">Thotsaphon Thanatipanonda</a>: 
							<span style="font-size: 10px; color: #666;">2015-12-24 10:41:04</span>
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			<p>Simple and Challenging for my 1000th problems.</p>
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