@VisibleForTesting
  static int[] biggestBinomials = {
    Integer.MAX_VALUE,
    Integer.MAX_VALUE,
    65536,
    2345,
    477,
    193,
    110,
    75,
    58,
    49,
    43,
    39,
    37,
    35,
    34,
    34,
    33
  };

  /**
   * Returns the arithmetic mean of {@code x} and {@code y}, rounded towards negative infinity. This

      int[] temp =
          new int[] {
            32, 9, 10, 101, 97, 13, 105, 111, 110, 116, 114, 115, 108, 100, 99, 117, 109, 104, 112,
            103, 48, 46, 98, 49, 160, 102, 50, 118, 121, 107, 44, 119, 45, 58, 51, 53, 52, 57, 56,
            106, 54, 122, 55, 47, 41, 40, 124, 120, 1103, 1072, 1086, 113, 1080, 1575, 1077, 1085,
            1090, 12540, 1088, 12398, 95, 1089, 39, 1604, 33, 233, 12290, 30340, 1083, 1074, 12289,

      int[] temp =
          new int[] {
            32, 9, 10, 101, 97, 13, 105, 111, 110, 116, 114, 115, 108, 100, 99, 117, 109, 104, 112,
            103, 48, 46, 98, 49, 160, 102, 50, 118, 121, 107, 44, 119, 45, 58, 51, 53, 52, 57, 56,
            106, 54, 122, 55, 47, 41, 40, 124, 120, 1103, 1072, 1086, 113, 1080, 1575, 1077, 1085,
            1090, 12540, 1088, 12398, 95, 1089, 39, 1604, 33, 233, 12290, 30340, 1083, 1074, 12289,