The hailstone sequence is formed in the following way:
(1) If n is even, divide it by 2 to get n' (2) If n is odd, multiply it by 3 and add 1 to get n'
It is conjectured that for any positive integer number n, the sequence will always end in the repeating cycle: 4, 2, 1, 4, 2, 1,... Suffice to say , when n == 1, we will say the sequence has ended.
Write a program to determine the largest value in the sequence for a given n.
The first line of input contains a single integer P, (1<= P <= 100000), which is the number of data set s that follow. Each data set should be processed identically and independently.
Each data set consists of a single line of input consisting of two space separated decimal integers. The first integer is the data set number. The second integer is n, (1 <= n <= 100,000), which is the starting value.
For each data set there is a single line of output consisting of the data set number, a single space, and the largest value in the sequence starting at and including n.