 Number of solutions
##### Submissions: 687   Accuracy: 8.68%   Difficulty: Easy   Marks: 2

Your task is to find the number of integral solutions to x2 = 1 (mod p) in the closed interval [1, b].

Input:
The first line of input contains a single integer T denoting the number of test cases. Then T test cases follow. Each test case consists of one line. There are two space separated integers in this line which denote b and p.

Output:

Corresponding to each test case, in a new line, print the number of integral solution to x2 = 1 (mod p) in the closed interval [1, b].

Constraints:

1 ≤ T ≤ 200

1 ≤ b ≤ 10

1 ≤ p ≤ 105

Example:

Input

3
5 7
8 6
4 3

Output

1
3
3

Explanation

In the interval [1,5] there is only one solution to x2 = 1(mod 7), x = 1

In the interval [1,8] there are three solutions to x2 = 1(mod 6), x = 1,5,7

In the interval [1,4] there are three solutions to x2 = 1(mod 3), x = 1,2,4

#### ** For More Input/Output Examples Use 'Expected Output' option **

Author: Hemang Sarkar

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