This is the prompt of the challenge:
$ nc challs.m0lecon.it 10000 Hello! I'll give you a positive integer N, can you give me two positive integers a,b such that a>b and gcd(a,b)+lcm(a,b)=N? You must send the values of a and b separated by a space. You have 1 second for each of the 10 tests.
We can observe that
a = N-1, b = 1 always satisfy