The return type doesn't have to be a Pydantic model, it could be a different type, like a list of integers, or a dict, etc.

### When to use `response_model` instead

If the return type is not the same as the type that you want to use to validate, filter, or serialize, use the `response_model` parameter on the decorator instead.

  static final double INTEGER_MANY_VALUES_MIN = -4444.0;

  // Integers which will overflow if summed (using integer arithmetic):
  static final int[] LARGE_INTEGER_VALUES = {Integer.MAX_VALUE, Integer.MAX_VALUE / 2};
  static final double LARGE_INTEGER_VALUES_MEAN =
      BigInteger.valueOf(Integer.MAX_VALUE)
          .multiply(BigInteger.valueOf(3L))
          .divide(BigInteger.valueOf(4L))

  static final double INTEGER_MANY_VALUES_MIN = -4444.0;

  // Integers which will overflow if summed (using integer arithmetic):
  static final int[] LARGE_INTEGER_VALUES = {Integer.MAX_VALUE, Integer.MAX_VALUE / 2};
  static final double LARGE_INTEGER_VALUES_MEAN =
      BigInteger.valueOf(Integer.MAX_VALUE)
          .multiply(BigInteger.valueOf(3L))
          .divide(BigInteger.valueOf(4L))

   *     <ul>
   *       <li>{@code x} is infinite or NaN
   *       <li>{@code x}, after being rounded to a mathematical integer using the specified rounding
   *           mode, is either less than {@code Integer.MIN_VALUE} or greater than {@code
   *           Integer.MAX_VALUE}
   *       <li>{@code x} is not a mathematical integer and {@code mode} is {@link
   *           RoundingMode#UNNECESSARY}
   *     </ul>
   */

    assertMean(0, 0, 0);
    assertMean(-1, -1, -1);
    assertMean(Integer.MIN_VALUE, Integer.MIN_VALUE, Integer.MIN_VALUE);
    assertMean(Integer.MAX_VALUE, Integer.MAX_VALUE, Integer.MAX_VALUE);

    // Exhaustive checks
    for (int x : ALL_INTEGER_CANDIDATES) {
      for (int y : ALL_INTEGER_CANDIDATES) {
        assertMean(x, y);
      }
    }
  }

    assertMean(0, 0, 0);
    assertMean(-1, -1, -1);
    assertMean(Integer.MIN_VALUE, Integer.MIN_VALUE, Integer.MIN_VALUE);
    assertMean(Integer.MAX_VALUE, Integer.MAX_VALUE, Integer.MAX_VALUE);

    // Exhaustive checks
    for (int x : ALL_INTEGER_CANDIDATES) {
      for (int y : ALL_INTEGER_CANDIDATES) {
        assertMean(x, y);
      }
    }
  }

  }

  private static final class MyIntegerDomain extends DiscreteDomain<Integer> {
    static final DiscreteDomain<Integer> DELEGATE = DiscreteDomain.integers();

    @Override
    public Integer next(Integer value) {
      return DELEGATE.next(value);
    }

    @Override
    public Integer previous(Integer value) {
      return DELEGATE.previous(value);

    }

    return getInet4Address(Ints.toByteArray(coercedHash));
  }

  /**
   * Returns an integer representing an IPv4 address regardless of whether the supplied argument is
   * an IPv4 address or not.
   *
   * <p>IPv6 addresses are <b>coerced</b> to IPv4 addresses before being converted to integers.
   *
   * <p>As long as there are applications that assume that all IP addresses are IPv4 addresses and

import java.util.SortedSet;
import org.jspecify.annotations.Nullable;

/**
 * A range (or "interval") defines the <i>boundaries</i> around a contiguous span of values of some
 * {@code Comparable} type; for example, "integers from 1 to 100 inclusive." Note that it is not
 * possible to <i>iterate</i> over these contained values. To do so, pass this range instance and an
 * appropriate {@link DiscreteDomain} to {@link ContiguousSet#create}.
 *

   * user attempts to add an element to the multiset that violates this constraint (for example, the
   * user attempts to add a string element to a set whose elements are integers), the {@code
   * add(Object)} call will throw a {@code ClassCastException}.
   *
   * <p>The type specification is {@code <E extends Comparable>}, instead of the more specific