293. Game with Q an C

time limit per test: 0.25 sec.
memory limit per test: 65536 KB
input: standard
output: standard



Qc and He play the following game.
Each turn He writes one of the two letters "Q" or "C" on the fence. The new letter is added to the end of the string formed by the previous letters. Players move alternately and on his turn Qc can either swap two already written letters, or do nothing (pass). On his first turn Qc obviously passes.
Qc's goal is to play in such way that in each his odd turn (1,3,5,7,...) letters on the fence form a palindrome (word that is reading the same in either direction). Occasionally Qc knows the sequence of letters that He is going to say and now Qc wants to know whether his goal is achievable.
Help Qc to find an appropriate sequence of turns or say that such sequence does not exist.

Input
The first line of the input file contains n (1 <= n <= 2005), n means that He will write 2n-1 letters on the fence. The second line contains the sequence of 2n - 1 letters that He is going to say. Each letter is only "Q" or "C".

Output
On the first line of the output print word "Qc" if the Qc's goal is achievable, otherwise print "He". If the first line is "Qc" then the following lines of the output should each contain two numbers separated by one space. Here "0 0" indicates the doing nothing and "q c" indicates the swapping of letters at positions q and c.
If there are more than one solutions print any one.

Sample test(s)

Input
Test #1
4
QCCQCQQ

Test #2
1
Q

Output
Test #1
Qc
0 0
0 0
1 2
3 4
3 4
0 0
1 4

Test #2
Qc
0 0
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Author:Anton Golubev, Petrazavodsk SU
Resource:Anton Golubev (Hedgehog)'s Contest #2 from Annual Summer Russian Teams Meeting in Petrozavodsk State University
Date:August 26, 2005











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