Balaji was reading number theory. When reading about primes, he was thinking about numbers which could be expressed as a product of primes. He wanted to know the largest number in a range which could be expressed as a product of primes. Balaji’s maths teacher is not so good at maths and so he was taught that 1 is prime. You, being a good programmer, help him with the task.

Input

The first line of input consists of C, the number of test cases, followed by C lines containing two space separated numbers a and b, the first and last number in the range (inclusive).

1 < C < 100

0 < A < B < 1e12

0 < B - A < 1e6

Output

For each test case, print a single line containing the largest number which can be represented as a product of primes, considering 1 to be prime.

Example

Input:
1
1 4

Output:
4

Explanation of Test Case

4 can be expressed as 2 × 2.