mod = 100003 def ncr(n,r): if n-r < r: r = n-r s = 1 for i in xrange(r): s = ((s*(n-i))/(i+1)) return s%mod def solve(n,k): ex = n-k g = k-1 lft = ex - g g += 2 if lft <= 0: return 0 else: s = ncr(g+lft-1,lft) return s for _ in xrange(input()): n,k = map(int,raw_input().split()) print solve(n,k)