Problem F
Encoded Message
Alex wants to send a love poem to his girlfriend Bridget. Unfortunately, she has a nosy friend, Ellen, who might intercept his message and invade their privacy.
To prevent this, Alex has invented a scheme to make his missives indecipherable to Ellen. He arranges the letters into a square, which is rotated a quarter-turn clockwise, and then he puts the resulting letters on a single line again. (For simplicity’s sake, Alex doesn’t use whitespace or punctuation in his poems.)
For example, the text “RosesAreRedVioletsAreBlue”
would be encoded as
“eedARBtVrolsiesuAoReerles” using the following
intermediate steps:
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R |
o |
s |
e |
s |
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A |
r |
e |
R |
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d |
V |
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t |
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A |
r |
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e |
B |
l |
u |
e |
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e |
e |
d |
A |
R |
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B |
t |
V |
r |
o |
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l |
s |
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u |
A |
o |
R |
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e |
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s |
Ellen has intercepted some of Alex’s messages but they make no sense to her. Can you write a program to help her decode them?
Input
On the first line one positive number: the number of test cases, at most 100. After that per test case:
-
one line with an encoded message: a string consisting of upper-case and lower-case letters only. The length of the message is a square between 1 and 10 000 characters.
Output
Per test case:
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one line with the original message.
| Sample Input 1 | Sample Output 1 |
|---|---|
3 RSTEEOTCP eedARBtVrolsiesuAoReerles EarSvyeqeBsuneMa |
TOPSECRET RosesAreRedVioletsAreBlue SquaresMayBeEven |
