// Now we check for known false positives using a set of known false positives.
    // (These are all of the false positives under 900.)
    ImmutableSet<Integer> falsePositives =
        ImmutableSet.of(
            49, 51, 59, 163, 199, 321, 325, 363, 367, 469, 545, 561, 727, 769, 773, 781);
    for (int i = 1; i < 900; i += 2) {
      if (!falsePositives.contains(i)) {

    longValues.add(Integer.MAX_VALUE + 1L, Long.MAX_VALUE - 1L, Long.MAX_VALUE);

    // Now add values near 2^N for lots of values of N.
    for (int exponent : asList(32, 33, 39, 40, 41, 47, 48, 49, 55, 56, 57)) {
      long x = 1L << exponent;
      longValues.add(x, x + 1, x - 1);
    }
    longValues.add(194368031998L).add(194368031999L); // sqrt(2^75) rounded up and down

  @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

    longValues.add(Integer.MAX_VALUE + 1L, Long.MAX_VALUE - 1L, Long.MAX_VALUE);

    // Now add values near 2^N for lots of values of N.
    for (int exponent : asList(32, 33, 39, 40, 41, 47, 48, 49, 55, 56, 57)) {
      long x = 1L << exponent;
      longValues.add(x, x + 1, x - 1);
    }
    longValues.add(194368031998L).add(194368031999L); // sqrt(2^75) rounded up and down

    cache.put(3, 20);
    cache.put(6, 2);
    cache.put(98, 45);
    cache.put(56, 76);
    cache.put(23, 84);

    // Replace the two present elements.
    cache.put(23, 20);
    cache.put(56, 49);
    cache.put(23, 2);
    cache.put(56, 4);

    // Expire the two present elements.
    fakeTicker.advance(1001, TimeUnit.MILLISECONDS);

    Integer unused1 = cache.getIfPresent(23);

    // Now we check for known false positives using a set of known false positives.
    // (These are all of the false positives under 900.)
    ImmutableSet<Integer> falsePositives =
        ImmutableSet.of(
            49, 51, 59, 163, 199, 321, 325, 363, 367, 469, 545, 561, 727, 769, 773, 781);
    for (int i = 1; i < 900; i += 2) {
      if (!falsePositives.contains(i)) {

    cache.put(3, 20);
    cache.put(6, 2);
    cache.put(98, 45);
    cache.put(56, 76);
    cache.put(23, 84);

    // Replace the two present elements.
    cache.put(23, 20);
    cache.put(56, 49);
    cache.put(23, 2);
    cache.put(56, 4);

    // Expire the two present elements.
    fakeTicker.advance(1001, TimeUnit.MILLISECONDS);

    cache.getIfPresent(23);
    cache.getIfPresent(56);

      chars = new int[10002];
      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,

          25L, 100L, 0L, 144L, 9L, 121L, 4L, 225L, 169L, 64L, 49L, 16L, 36L, 1L, 81L, 196L);
  private static final ImmutableList<Integer> SIXTEEN_SQUARES_INTEGERS =
      ImmutableList.of(25, 100, 0, 144, 9, 121, 4, 225, 169, 64, 49, 16, 36, 1, 81, 196);
  private static final double SIXTEEN_SQUARES_MIN = 0.0;
  private static final double SIXTEEN_SQUARES_DECILE_1 = 0.5 * (1.0 + 4.0);

          25L, 100L, 0L, 144L, 9L, 121L, 4L, 225L, 169L, 64L, 49L, 16L, 36L, 1L, 81L, 196L);
  private static final ImmutableList<Integer> SIXTEEN_SQUARES_INTEGERS =
      ImmutableList.of(25, 100, 0, 144, 9, 121, 4, 225, 169, 64, 49, 16, 36, 1, 81, 196);
  private static final double SIXTEEN_SQUARES_MIN = 0.0;
  private static final double SIXTEEN_SQUARES_DECILE_1 = 0.5 * (1.0 + 4.0);