return Math.multiplyExact(a, b);
  }

  /**
   * Returns the {@code b} to the {@code k}th power, provided it does not overflow.
   *
   * <p>{@link #pow} may be faster, but does not check for overflow.
   *
   * @throws ArithmeticException if {@code b} to the {@code k}th power overflows in signed {@code
   *     int} arithmetic
   */

      // overflow, return.
      return naiveSum;
    }
    // we did over/under flow, if the sign is negative we should return MAX otherwise MIN
    return Long.MAX_VALUE + ((naiveSum >>> (Long.SIZE - 1)) ^ 1);
  }

  /**
   * Returns the difference of {@code a} and {@code b} unless it would overflow or underflow in

      val increment = (m - n) * (h + 1)
      if (delta > Int.MAX_VALUE - increment) return false // Prevent overflow.
      delta += increment

      n = m

      for (c in input) {
        if (c < n) {
          if (delta == Int.MAX_VALUE) return false // Prevent overflow.
          delta++
        } else if (c == n) {
          var q = delta

*   Fixes an overflow producing a crash in `tf.range`
    ([CVE-2021-41202](https://cve.mitre.org/cgi-bin/cvename.cgi?name=CVE-2021-41202))
*   Fixes an overflow producing a crash in `tf.image.resize` when size is large
    ([CVE-2021-41199](https://cve.mitre.org/cgi-bin/cvename.cgi?name=CVE-2021-41199))
*   Fixes an overflow producing a crash in `tf.tile` when tiling tensor is large

}

.filter-check-item:hover {
    background-color: #f4f5f7;
}

.filter-check-item .filter-check {
    margin: 0;
    flex-shrink: 0;
}

.filter-check-label {
    overflow: hidden;
    text-overflow: ellipsis;
    white-space: nowrap;
}

.filter-dropdown-footer {
    padding: 0.25rem 0.5rem;
    border-top: 1px solid #ebecf0;
    text-align: right;
}

.filter-clear-group {

  }

  public void testOrderedPermutationSetSizeOverflow() {
    // 12 elements won't overflow
    assertEquals(
        479001600 /*12!*/,
        Collections2.orderedPermutations(newArrayList(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12))
            .size());
    // 13 elements overflow an int
    assertEquals(
        Integer.MAX_VALUE,

  }

  public void testOrderedPermutationSetSizeOverflow() {
    // 12 elements won't overflow
    assertEquals(
        479001600 /*12!*/,
        Collections2.orderedPermutations(newArrayList(1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12))
            .size());
    // 13 elements overflow an int
    assertEquals(
        Integer.MAX_VALUE,

  // Exponents to test for the pow() function.
  static final ImmutableList<Integer> EXPONENTS =
      ImmutableList.of(0, 1, 2, 3, 4, 7, 10, 15, 20, 25, 40, 70);

  /*
   * This list contains values that attempt to provoke overflow in integer operations. It contains
   * positive values on or near 2^N for N near multiples of 8 (near byte boundaries).
   */
  static final ImmutableSet<Integer> POSITIVE_INTEGER_CANDIDATES;

	font-size: 120%;
	font-weight: 600;
}

section.content table {
	display: table;
	table-layout: fixed;
	width: 100%;
}

section.content table td {
	display: table-cell;
	word-wrap: break-word;
	overflow-wrap: break-word;
}

section.content table .label {
	color: #fff;
}

textarea.systemInfoData {
	height: 22em;
	line-height: 1.5em;
}

.login-box {
	height: 500px;
}

    }

    RuntimeException multiples(boolean overflow) {
      if (exceptionSupplier != null) {
        throw exceptionSupplier.get();
      }
      StringBuilder sb =
          new StringBuilder().append("expected one element but was: <").append(element);
      for (Object o : extras) {
        sb.append(", ").append(o);
      }
      if (overflow) {
        sb.append(", ...");
      }