1154 - Problem E: Rubik’s Cube®

Time Limit : 1 Second

Memory Limit : 128 MB

Submission: 6

Solved: 6

You are a secret agent for the Eternally Indebted External
Intelligence Office (EIEIO) of the country of Nomoneo.
Headquarters has disguised your one-time pad for
encrypted communications in the form of a Rubik's
Cube®. (For those of you unfamiliar with the puzzle, a
Rubik's Cube® comes in the form of a cube where each
face is divided into three rows and three columns (nine
“squares”). Any of the six faces of the cube may be
rotated either clockwise or counterclockwise, which also
rotates the three nearest squares on each adjoining face
onto a new face, respectively. When solved (or taken
from the factory packaging), each face of the cube
contains squares of only one color. There is no way to
change the relationship between the colors of the central
squares on each face.) The cube has been pre-scrambled
and you are to apply a certain set of moves to the cube
based on the message you want to return.
This diagram provides the relationship between the sides
of the cube as well as the orientation of the faces for the
purposes of input and output. It should be viewed as an
unfolded cube with the text on the outside. The faces are
indicated by the color of the central subdivision (square)
and are White, Orange, Red, Blue, Green, and Yellow.
The corner with the dot is the top left corner for purposes
of input and output.

Your program should read the input data from the file, which consists of several cases. The first line of
the input will give the number of these input cases (as a decimal integer without any punctuation),
which will be greater than or equal to 1 and less than or equal to 10,000. Each case consists of three
lines giving the initial state of the puzzle cube and one line giving the rotations you must apply to reach
the appropriate final state of the cube.
Each of the three lines giving the initial state of the cube consists of 18 letters with a single space
between each pair of letters. There is no space between the last letter and the end of the line. Each of
the letters is 'W', 'O', 'R', 'B', 'G', or 'Y' indicating the respective color. The faces are listed from left to
right in the order (by central square color) White, Orange, Red, Blue, Green, Yellow. Thus, the first
three columns of letters give the state of the “White” face, and so forth.
The fourth line of the case gives the manipulations that you must apply to the cube. Each manipulation
consists of a single letter as above ('W', 'O', 'R', 'B', 'G', or 'Y') indicating which face (selected by the
color of the center) you should rotate. Each rotation thus indicated is a 90º clockwise rotation of the
face with respect to the rest of the cube, looking at the face to be rotated. At least one and no more
than 1,000 manipulations will be specified.
Print to standard output the state of the cube after the indicated manipulations. Use the same format as
for input: three lines, each containing 18 color letters separated by a single space character. Do not put
a space after the final letter on the line. Print out the faces in the same order, left to right, as for input:
White, Orange, Red, Blue, Green, Yellow. After each output case, print a line containing 35 '='
sample input
W W W O O O R R R B B B G G G Y Y Y 
W W W O O O R R R B B B G G G Y Y Y 
W W W O O O R R R B B B G G G Y Y Y 
Y G G Y G W Y W B R W O R W G B G G 
O W R Y O B G R O R B O Y G R B Y Y 
O W O G O W Y B W B R W B B O R Y R 
sample output
O O O Y Y Y R R R Y Y Y G G G B Y O 
W W W O O O R R R B B B G G G B Y O 
B B B W W W R R R W W W G G G B Y O 
W G R Y B G B R G B O W O R B R W R 
G W B G O R G R R Y B B O G O Y Y B 
G W R Y Y Y W W O G O W O Y B Y W O 
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