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Facebook app development

FB is cool. So better have an app for OSAC or iCode on Fb. May be something like SPOJ or codechef.com can have FB apps where signed up users could compete against each other.
What I mean is that, say there are 2 users user1 and user2, then user1 should be able to challenge user2 on some particular programming problem. If user2 agrees, then they both get to code, the judging is done ny our code. And all this activity is published on their FB stream .
like "user1 challenged user2 on problemno.2"
"user2 accepted the challenge"
"user1 scores 100 and user2 scores 200, hence user2 wins"
We can have something like this for solutions also.
like google code jam. 100 coding problems would be released on a particular date. Each problem has with it, 2 input files and one sample output file. one of the two inputs is a small one, of which corresponding output file is also provided.
what is expected out of the user is that he should code the solution , then test his solution with the input file we have provided and match his output with the output file that is also provided. once he is convinced that his code is producing valid results, then use the second BIG input file to produce a BIG output.
And then send this OUTPUT file as his solution to the problem.
we expect no code, but the output file. We will compare the output with the standard output file that's there with us. If matched, he is accepted as winner, else truncated.

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