} else {
            NtlmPasswordAuthenticator.cloneInternal(to, from);
        }
    }

    /**
     * Compares two {@code NtlmPasswordAuthentication} objects for
     * equality. Two {@code NtlmPasswordAuthentication} objects are equal if
     * their caseless domain and username fields are equal and either both hashes are external and they are equal or

     */
    public int hashCode() {
        return java.util.Objects.hash(getType(), getProvides());
    } //-- int hashCode()

    /**
     * Checks equality based on {@link #getType()} and {@link #getProvides()} values.
     */
    public boolean equals(Object other) {
        if (this == other) {
            return true;

        // Why? The second half of condition2 requires that nodeV equals other.nodeU.
        // We already know that nodeU equals other.nodeU. Combined with the earlier statement,
        // and the transitive property of equality, this implies that nodeU equals nodeV.
        // If nodeU equals nodeV, condition1 == condition2, so checking condition1 is sufficient.
        return nodeV().equals(other.nodeV());
      }

    }
  }

  public void testEqualsAndHashCode_different() {
    for (CacheBuilder<Object, Object> builder : cacheFactory().buildAllPermutations()) {
      // all caches should be different: instance equality
      new EqualsTester()
          .addEqualityGroup(builder.build(identityLoader()))
          .addEqualityGroup(builder.build(identityLoader()))
          .addEqualityGroup(builder.build(identityLoader()))

      final class ValuesImpl extends Maps.Values<K, Collection<V>> {
        ValuesImpl() {
          super(AsMap.this);
        }

        @Override
        /*
         * For discussion of equality in Multimap value collections, see the suppression for
         * UndefinedEquals in AbstractMapBasedMultimap.
         */
        @SuppressWarnings("UndefinedEquals")
        public boolean remove(@Nullable Object o) {

        assertArrayEquals(permissions, user.getPermissions());
        assertFalse(user.isEditable());
        assertFalse(user.refresh());
    }

    // Helper method to assert array equality
    private void assertArrayEquals(String[] expected, String[] actual) {
        if (expected == null && actual == null) {
            return;
        }

import java.util.Collections;
import java.util.Iterator;
import java.util.List;
import java.util.Set;
import org.jspecify.annotations.Nullable;

/**
 * A collection that supports order-independent equality, like {@link Set}, but may have duplicate
 * elements. A multiset is also sometimes called a <i>bag</i>.
 *
 * <p>Elements of a multiset that are equal to one another are referred to as <i>occurrences</i> of

 *
 * <p>Each of the {@code standard} methods uses the set's comparator (or the natural ordering of the
 * elements, if there is no comparator) to test element equality. As a result, if the comparator is
 * not consistent with equals, some of the standard implementations may violate the {@code Set}
 * contract.
 *

		// a less or equal b
	}
	if bytes.Compare(a, b) > 0 {
		// a greater b
	}
	if bytes.Compare(a, b) >= 0 {
		// a greater or equal b
	}

	// Prefer Equal to Compare for equality comparisons.
	if bytes.Equal(a, b) {
		// a equal b
	}
	if !bytes.Equal(a, b) {
		// a not equal b
	}
}

func ExampleCompare_search() {
	// Binary search to find a matching byte slice.

import java.util.Spliterator;
import java.util.function.Consumer;
import java.util.function.ObjIntConsumer;
import org.jspecify.annotations.Nullable;

/**
 * A collection that supports order-independent equality, like {@link Set}, but may have duplicate
 * elements. A multiset is also sometimes called a <i>bag</i>.
 *
 * <p>Elements of a multiset that are equal to one another are referred to as <i>occurrences</i> of