final long start = System.nanoTime();
        controller.delayForWaitingNewUrl();
        final long elapsed = (System.nanoTime() - start) / 1000000;

        assertTrue("Expected at least 1000ms delay", elapsed >= 950); // default is 1000ms
    }

    /**
     * Test delayForWaitingNewUrl with custom delay
     */
    public void test_delayForWaitingNewUrl_customDelay() {

        // Test various timeout format strings
        builder.scrollTimeout("1000ms")
                .searchTimeout("1m")
                .indexTimeout("1h")
                .bulkTimeout("1d")
                .indicesTimeout("500")
                .clusterTimeout("10000ms");

        assertEquals("1000ms", builder.timeoutSettings.scrollTimeout);
        assertEquals("1m", builder.timeoutSettings.searchTimeout);

    // Backoff and timing constants (in ms)
    private static final long BASE_POLL_INTERVAL = 1000;
    private static final long MAX_POLL_INTERVAL = 30000;
    private static final long BASE_RETRY_DELAY = 1000;
    private static final long MAX_RETRY_DELAY = 30000;
    private static final int MAX_BACKOFF_SHIFT = 3; // Maximum 8 seconds (2^3 * 1000ms)

    private final DirectoryLeaseManager leaseManager;

    server.webSocket!!.close(1000, "Hello!")
    client.processNextFrame()
    client.listener.assertClosing(1000, "Hello!")
    assertThat(client.webSocket!!.close(1000, "Bye!")).isTrue()
    client.webSocket!!.finishReader()
    taskFaker.runTasks()
    client.listener.assertClosed(1000, "Hello!")
    server.processNextFrame()
    server.listener.assertClosing(1000, "Bye!")
    server.webSocket!!.finishReader()

        // Verify O(1) performance - should be reasonably fast (allowing for JVM overhead)
        assertTrue(avgAllocTimeNs < 10000, "Average allocation should be under 10000ns (O(1) performance)");
        assertTrue(avgReleaseTimeNs < 10000, "Average release should be under 10000ns (O(1) performance)");
        assertEquals(threadCount * operationsPerThread, allocations.get());

	{ETag: "7b976cc68452e003eec7cb0eb631a19a-10000", AWSETag: "7b976cc68452e003eec7cb0eb631a19a-10000"},                                                     // 3
	{ETag: "20000f00db2d90a7b40782d4cff2b41a7799fc1e7ead25972db65150118dfbe2ba76a3c002da28f85c840cd2001a28a9", AWSETag: "ba76a3c002da28f85c840cd2001a28a9"}, // 4
}

    val heldCertificate =
      HeldCertificate
        .Builder()
        .validityInterval(5000L, 10000L)
        .build()
    val certificate = heldCertificate.certificate
    assertThat(certificate.notBefore.time).isEqualTo(5000L)
    assertThat(certificate.notAfter.time).isEqualTo(10000L)
  }

  @Test
  fun customDuration() {
    val now = System.currentTimeMillis()
    val heldCertificate =

        .addEqualityGroup(BloomFilter.create(Funnels.byteArrayFunnel(), 100, 0.02))
        .addEqualityGroup(BloomFilter.create(Funnels.byteArrayFunnel(), 200, 0.01))
        .addEqualityGroup(BloomFilter.create(Funnels.byteArrayFunnel(), 200, 0.02))
        .addEqualityGroup(BloomFilter.create(Funnels.unencodedCharsFunnel(), 100, 0.01))

    taskFaker.advanceUntil(100.µs)
    assertThat(log).containsExactly("run@100000")

    taskFaker.advanceUntil(150.µs)
    assertThat(log).containsExactly("run@100000", "run@150000")

    taskFaker.advanceUntil(299.µs)
    assertThat(log).containsExactly("run@100000", "run@150000")

    taskFaker.advanceUntil(300.µs)
    assertThat(log).containsExactly("run@100000", "run@150000", "run@300000")

    taskFaker.assertNoMoreTasks()

      result[i] = allMatchingChars.charAt(random.nextInt(allMatchingChars.length()));
    }
    // Replace some of chars by non-matching.
    int remaining = (int) ((100 - percentMatching) * result.length / 100.0 + 0.5);
    while (remaining > 0) {
      char c = (char) random.nextInt();
      if (bitSet.get(c)) {
        int pos = random.nextInt(result.length);
        if (bitSet.get(result[pos])) {
          result[pos] = c;