import java.io.ByteArrayInputStream; import java.io.IOException; import java.io.InputStream; import java.io.PrintWriter; import java.util.Arrays; import java.util.InputMismatchException; public class Solution { static InputStream is; static PrintWriter out; static String INPUT = ""; static int MOD = 100003; static void solve() { int T = ni(); for(int t = 0; t < T; t++){ long n = nl(); long k = nl(); out.println(choose_mod(n-k+1,k,MOD)); } } public static long gcd(long a, long b) { return b==0 ? a : gcd(b, a%b); } static long modPow(long a, long x, long p) { //calculates a^x mod p in logarithmic time. long res = 1; while(x > 0) { if( x % 2 != 0) { res = (res * a) % p; } a = (a * a) % p; x /= 2; } return res; } static long factorial_exponent(long n, long p) { long ex = 0; do { n /= p; ex += n; }while(n > 0); return ex; } // Preconditions: 0 <= k <= n; p > 1 prime static long choose_mod_one(long n, long k, long p) { // For small k, no recursion is necessary if (k < p) return choose_mod_two(n,k,p); long q_n, r_n, q_k, r_k, choose; q_n = n / p; r_n = n % p; q_k = k / p; r_k = k % p; choose = choose_mod_two(r_n, r_k, p); // If the exponent of p in choose(n,k) isn't determined to be 0 // before the calculation gets serious, short-cut here: /* if (choose == 0) return 0; */ choose *= choose_mod_one(q_n, q_k, p); return choose % p; } // Preconditions: 0 <= k <= min(n,p-1); p > 1 prime static long choose_mod_two(long n, long k, long p) { // reduce n modulo p n %= p; // Trivial checks if (n < k) return 0; if (k == 0 || k == n) return 1; // Now 0 < k < n, save a bit of work if k > n/2 if (k > n/2) k = n-k; // calculate numerator and denominator modulo p long num = n, den = 1; for(n = n-1; k > 1; --n, --k) { num = (num * n) % p; den = (den * k) % p; } // Invert denominator modulo p den = modInverse(den,p); return (num * den) % p; } static long modInverse(long a, long n) { long i = n, v = 0, d = 1; while (a>0) { long t = i/a, x = a; a = i % x; i = x; x = d; d = v - t*x; v = x; } v %= n; if (v<0) v = (v+n)%n; return v; } static long choose_mod(long n, long k, long p) { // We deal with the trivial cases first if (k < 0 || n < k) return 0; if (k == 0 || k == n) return 1; // Now check whether choose(n,k) is divisible by p if (factorial_exponent(n,p) > (factorial_exponent(k,p) + factorial_exponent(n-k,p))) return 0; // If it's not divisible, do the generic work return choose_mod_one(n,k,p); } public static void main(String[] args) throws Exception { long S = System.currentTimeMillis(); is = INPUT.isEmpty() ? System.in : new ByteArrayInputStream(INPUT.getBytes()); out = new PrintWriter(System.out); solve(); out.flush(); long G = System.currentTimeMillis(); tr(G-S+"ms"); } private static boolean eof() { if(lenbuf == -1)return true; int lptr = ptrbuf; while(lptr < lenbuf)if(!isSpaceChar(inbuf[lptr++]))return false; try { is.mark(1000); while(true){ int b = is.read(); if(b == -1){ is.reset(); return true; }else if(!isSpaceChar(b)){ is.reset(); return false; } } } catch (IOException e) { return true; } } private static byte[] inbuf = new byte[1024]; static int lenbuf = 0, ptrbuf = 0; private static int readByte() { if(lenbuf == -1)throw new InputMismatchException(); if(ptrbuf >= lenbuf){ ptrbuf = 0; try { lenbuf = is.read(inbuf); } catch (IOException e) { throw new InputMismatchException(); } if(lenbuf <= 0)return -1; } return inbuf[ptrbuf++]; } private static boolean isSpaceChar(int c) { return !(c >= 33 && c <= 126); } private static int skip() { int b; while((b = readByte()) != -1 && isSpaceChar(b)); return b; } private static double nd() { return Double.parseDouble(ns()); } private static char nc() { return (char)skip(); } private static String ns() { int b = skip(); StringBuilder sb = new StringBuilder(); while(!(isSpaceChar(b))){ // when nextLine, (isSpaceChar(b) && b != ' ') sb.appendCodePoint(b); b = readByte(); } return sb.toString(); } private static char[] ns(int n) { char[] buf = new char[n]; int b = skip(), p = 0; while(p < n && !(isSpaceChar(b))){ buf[p++] = (char)b; b = readByte(); } return n == p ? buf : Arrays.copyOf(buf, p); } private static char[][] nm(int n, int m) { char[][] map = new char[n][]; for(int i = 0;i < n;i++)map[i] = ns(m); return map; } private static int[] na(int n) { int[] a = new int[n]; for(int i = 0;i < n;i++)a[i] = ni(); return a; } private static int ni() { int num = 0, b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private static long nl() { long num = 0; int b; boolean minus = false; while((b = readByte()) != -1 && !((b >= '0' && b <= '9') || b == '-')); if(b == '-'){ minus = true; b = readByte(); } while(true){ if(b >= '0' && b <= '9'){ num = num * 10 + (b - '0'); }else{ return minus ? -num : num; } b = readByte(); } } private static void tr(Object... o) { if(INPUT.length() != 0)System.out.println(Arrays.deepToString(o)); } }