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Y sequence

Time Limit
1s
Memory Limit
65536KB
Judge Program
Standard
Ratio(Solve/Submit)
16.67%(1/6)
Description:

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).

Input:

The first line of the input contains a single number T:the number of test cases.
Then T cases follow, each contains two positive integer n and r described above.
n<=2*10^18,2<=r<=62,T<=30000.

Output:

For each case,output Y(n).

Sample Input:
2
10 2
10 3
Sample Output:
13
14
Source:

2015 Multi-University Training Contest 1


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