# Enter your code here. Read input from STDIN. Print output to STDOUT import math import sys def nCr(n,r): f = math.factorial return f(n) / f(r) / f(n-r) def binomial(n, k): if not 0 <= k <= n: return 0 if k == 0 or k == n: return 1 # calculate n!/k! as one product, avoiding factors that # just get canceled P = k+1 for i in xrange(k+2, n+1): P *= i return P//math.factorial(n-k) test = int(sys.stdin.readline()) for i in range(0,test): s = sys.stdin.readline().split() n = int(s[0]) k = int(s[1]) if (n - 2*k +1 < 0 or k>=100003): print 0 else: print binomial(n-k+1,k) % 100003