SUDOKU - Sudoku

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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.


A C O I
J A B P C G F H
D F I E P
G E L H M J
E C G
I K G A B E J
D G P J F A
E C B D P O
E F M D L K A
C O I L
H P C F A B
G O D J H
K J H A P L
B P E K A
H B K F I C
F C D H N

a) Sudoku grid


F P A H M J E C N L B D K O G I
O J M I A N B D P K C G F L H E
L N D K G F O I J E A H M B P C
B G C E L K H P O F I M A J D N
M F H B E L P O A C K J G N I D
C I L N K D G A H B M O P E F J
D O G P I H J M F N L E C A K B
J E K A F C N B G I D P L H O M
E B O F P M I J D G H L N K C A
N C J D H B A E K M O F I G L P
H M P L C G K F I A E N B D J O
A K I G N O D L B P J C E F M H
K D E M J I F N C H G A O P B L
G L B C D P M H E O N K J I A F
P H N O B A L K M J F I D C E G
I A F J O E C G L D P B H M N K

b) Solution

Input

The first line of the input contains an integer K - determining the number of datasets (K<=10). Each data set encodes a grid and contains 16 strings on 16 consecutive lines as shown in the example input below. The ith string stands for the ith line of the grid, is 16 characters long, and starts from the first position of the line. String characters are from the set {A,B,…,P,-}, where – (minus) designates empty grid cells. The data sets are separated by single empty lines.

Output

For each data set in the input print the completed 16x16 Sudoku as specified by the rules above. The program prints the solution of the input encoded grids in the same format and order as used for input. The output for each data set should be separated by single empty lines.

Example

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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Thotsaphon Thanatipanonda: 2015-12-24 10:41:04

Simple and Challenging for my 1000th problems.


Added by:P.Kasthuri RanganĀ­
Date:2006-11-24
Time limit:2.640s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO NODEJS PERL6 VB.NET
Resource:ACM Southeastern European Regional Programming Contest - 2006