#include <cmath>
#include <cstdio>
#include <vector>
#include <iostream>
#include <algorithm>
using namespace std;

int solve_sol(int i, int k){
  //  cout << i << " " << k << endl;
    if(k ==0 )
        return 1;
    if(k> i/2 +1 && i!=1)
        return 0;
    if(i <= 0)
        return 0;
    if(k < 0)
        return 0;
    else{
        int n = solve_sol(i-2, k-1) + solve_sol(i-1, k);
        if(n >100003){
            int ans = n%100003;
            return ans;
        }
        else
            return n;
    }
}

int main() {

    /* Enter your code here. Read input from STDIN. Print output to STDOUT */    
    int N;
    cin >> N;
    
    for(int i = 0; i < N; ++i){
        int n, k;
        cin >> n>> k;
        
        int ans = solve_sol(n, k);
        
        cout << ans << endl;
    }
    return 0;
}