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 106+3.
Constraints:
1 <= T <= 105
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Subtask 1: (20 points)
1 <= N, X <= 105 -
Subtask 2: (80 points)
1 <= N, X <= 1018
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 1*1 = 1. In Chamber K=2, the number of particle became 2*1 = 2.
