Yellowstar likes integers so much that he listed all positive integers in ascending order,but he hates those numbers which can be written as a^b (a, b are positive integers,2<=b<=r),so he removed them all.Yellowstar calls the sequence that formed by the rest integers“Y sequence”.When r=3,The first few items of it are:
2,3,5,6,7,10......
Given positive integers n and r,you should output Y(n)(the n-th number of Y sequence.It is obvious that Y(1)=2 whatever r is).