Problem Description
Have you seen the National Day military review? That’s very grand!
And now, ALPCs have received a arduous mission——taking a parade at August first.
The traditional order is rectangular, but ALPCs want to make a innovation. They start to research a new triangular order called Yang Hui’s triangle.
Yang Hui’s triangle is known to all:
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
In it the ends of each line is 1, and every other number in each line equals to the sum of the two numbers on the shoulders. It’s obvious that it’s a piece of cake (especially with the help of computer)for us to get value of the C-th number in line R, therefore our problem goes to the opposite: given two Continuous numbers in a same line, please find out their positions in this huge triangle.
Input
The first line of the input is a N indicating the test cases number.
Then follow N lines. Each line includes two positive integers: a, b, and a, b < 2^63. The number a should be aligned on the left of the number b. It’s certain that for every data input there is always a solution.
Output
For each testing data there will be only one line out: R C. which means the C-th number on line R. What’s more, R and C should be separated by a blank space. For multiple solutions, please print out the solution with the minimum R.
Sample Input
3
1 2
3 3
10 5
Sample Output
3 1
4 2
6 4
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