思考题 in one sentence

Yet Another Easy Problem

Find any positive integer pair a,b so that where k,n are given or -1 -1 if not found.

Examples

Input
K=100 N=268
Output
200 34
Explain
200+34+(200+34)mod 100=234+34=268
Input
K=100 N=101
Output
-1 -1

Constriants

Subtask 1(10%):N,K=100
Subtask 2(10%):N,K<=1000
Subtask 3(10%):N,K<=1e5
Subtask 4(30%): is an integer.
Subtask 5(20%):K is a prime
Subtask 6(20%):1<=N,K<=1e9