// can multiply a number with a fixed other number
// input: S (number)
// output: S (number)
static class LMath2 extends LearnerImpl {
  static boolean debug;
  BigInteger factor;

  public void processInOut(Object _in, Object _out) {
    if (debug)
      print("LMath2: in = " + struct(_in));
    S in = cast _in;
    S out = cast _out;
    BigInteger[] inNumbers = new BigInteger[] {bigint(in)};
    BigInteger[] outNumbers = new BigInteger[] {bigint(out)};
    findOperation(inNumbers, outNumbers);
  }
  
  public void findOperation(BigInteger[] in, BigInteger[] out) {
    if (l(in) != 1 || l(out) != 1) tilt();
    BigInteger f = out[0].divide(in[0]);
    if (!eq(out[0], in[0].multiply(f))) tilt();
    if (factor != null && neq(factor, f)) tilt();
    factor = f;
  }
  
  public String processIn(Object _in) {
    S in = cast _in;
    BigInteger[] inNumbers = new BigInteger[] {bigint(in)};
    ret str(inNumbers[0].multiply(factor));
  }
}