Use a calculator bro

Computer Science Level 3

Find the last 9 digits of ${ 1 }^{ 2 }{ 3 }^{ 4 }{ 5 }^{ 6 }{ 7 }^{ 8 }{ 9 }^{ 10 }{ 11 }^{ 12 }...{ 97 }^{ 98 }{ 99 }^{ 100 }$ .

1 solution

Arulx Z
Dec 25, 2015

1	`reduce(lambda x,y:xy,[n * (n + 1) for n in xrange(1, 100, 2)]) % 10 ** 9`

I don't know if a better way exists but I calculated the answer directly.

That's the direct approach.

I doubt there is a much better one. We could attempt to study the number mod $2^{10}$ , but it seems unlikely to be useful.