Arnaldo and Bernaldo are playing within the classroom as follows:
they write initially under a positive integer n. then
alternately, beginning with Arnold, erase the number that is on the table
and
write a new number that can be:
• what has just been erased least the largest power of 2 (with
Ram and Shyam are playing a game of balls.
Ram choose a colour ball say red and shyam chose blue.
Now both of them places the ball in a row with the condition that at
any point the number of Shyam's balls can never be larger than Ram's.
If both of them have equal number of balls say 'n' compute
the result is nth catalan number
http://en.wikipedia.org/wiki/Catalan_number
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