Minimum Heap

Time Limit: 1000 ms Memory Limit: 65536 KiB

Problem Description

Alex is curious about data structures. He is working on binary trees recently and particularly interested in complete binary trees. 


 A complete binary tree satisfies that all levels of the tree, except possibly the last one (deepest) are fully filled, and, if the last level of the tree is not complete, the nodes of that level are filled from left to right.

Alex defines his own complete binary tree: each node has a weight, while father's is always less than or equal to its sons'. He names this complete binary tree as minimum heap.
 
Now he wants to know: With N nodes weighted from 1 to N (each appears once), how many heaps can be created. The answer (represented by Q) may be very large, so please output a number P while P = Q mod M.

Input

The input consists of several test cases. The first line contains a number T, indicating the number of test cases. Each test case is on a single line, and it consists the number N and M.

Technical Specification
1. 1 ≤ T ≤ 10
2. 1 ≤ N ≤ 1000
3. 2 ≤ M ≤ 1000,000,000

Output

For each test case, output the number P on a single line.

Sample Input

2
1 9973
100 9973

Sample Output

1
174

Hint

Source

The 4th Baidu Cup Central China Invitational Programming Contest WHU