Why the 2nd sample's answer is Big Bang?

But why realy?
I cant understand

and could you please explain the first test too?

Because the expected sum is 4+3-2*2(sum of the numbers shown on the screen+k-(n+1)*2) while the real sum is 6+x(the sum of the inputed numbers+the number YOU have to input), but they have to be equal:
4+3-2*2=6+x
7-4=6+x
x=-3, but the answer is non-negative, so it is "Big Bang!".
(in first sample you have 3+3+5+6+5+7+5-7*2 as the expected sum, and 1+1+3+5+5+2+x as the real sum:
3+3+5+6+5+7+5-7*2=1+1+3+5+5+2+x
34-14=17+x
x=20-17
x=3
)
X is the output number.
Or at least that is how i understood this problem.

edit: what is the limit of X???

Edited by author 27.10.2012 15:43

Thanks for your answer!

You answer is kick ass. How can you figure out something like that?
I check again and again, and it seems gibberish to me.

I don't understand (n+1)*2. Can you tell me Why do you subtract (n+1)*2;

Cause we subtracted 2        n+1 times