Panda has become a scientist recently. In his laboratory, there are infinite number of chambers where a chamber number K is connected to a chamber number K-1.

The numbering of chambers start from 0. Initially, X number of particles are present in the chamber number 0. The number of particles present in chamber K is K times the number of particles present in chamber K-1. You are supposed to help Panda in finding out the number of particles in a given chamber number N.

Note: The number of particles in chamber K cannot be calculated until the number of particles in chamber K-1 are calculated.

Input Format:

The first line will contain the integer T, the number of test cases. Each test case consists of two space separated integers N and X.

Output Format:

For each test case, output the answer to Panda's query. Since the output can be very large, output the answer modulo 10^6+3.

Constraints:

1 ≤ T ≤ 10^5

Subtask 1: (20 points)
1 ≤ N, X ≤ 10^5

Subtask 2: (80 points)
1 ≤ N, X ≤ 10^18SAMPLE INPUT
2
1 3
2 1

SAMPLE OUTPUT
3
2

Explanation

Case 1: For first test case, initially there were 3 particles.
In Chamber K=1, the number of particles became 1*3 = 3.

Case 2: Initially, there is only 1 particle.
In Chamber K=1, the number of particle became 11 = 1.
In Chamber K=2, the number of particle became 21 = 2.

见题面

见题面