code: def test_state_methods(self):
      decoder = codecs.getincrementaldecoder("euc_jp")()
  
      # Decode a complete input sequence
      self.assertEqual(decoder.decode(b"\xa4\xa6"), "\u3046")
      pending1, _ = decoder.getstate()
      self.assertEqual(pending1, b"")
  
      # Decode first half of a partial input sequence
      self.assertEqual(decoder.decode(b"\xa4"), "")
      pending2, flags2 = decoder.getstate()
      self.assertEqual(pending2, b"\xa4")
  
      # Decode second half of a partial input sequence
      self.assertEqual(decoder.decode(b"\xa6"), "\u3046")
      pending3, _ = decoder.getstate()
      self.assertEqual(pending3, b"")
  
      # Jump back and decode second half of partial input sequence again
      decoder.setstate((pending2, flags2))
      self.assertEqual(decoder.decode(b"\xa6"), "\u3046")
      pending4, _ = decoder.getstate()
      self.assertEqual(pending4, b"")
  
      # Ensure state values are preserved correctly
      decoder.setstate((b"abc", 123456789))
      self.assertEqual(decoder.getstate(), (b"abc", 123456789))
  
imports: import _multibytecodec
  import codecs
  import io
  import sys
  import textwrap
  import unittest
  from test import support
  from test.support import os_helper
  from test.support.os_helper import TESTFN
label_desc: Use image node_id 5 for calling the Test_IncrementalDecoder obj's underlying member method code with example usage: obj.test_state_methods() without return types