Merge branch 'new_kth_par_alg' of github.com:programming-team-code/programming_team_code into new_kth_par_alg

Author: lrvideckis

.verify-helper/timestamps.remote.json

@@ -141,8 +141,9 @@
 "tests/library_checker_aizu_tests/trees/hld_lib_checker_path.test.cpp": "2026-04-12 16:21:27 -0600",
 "tests/library_checker_aizu_tests/trees/hld_lib_checker_subtree_edges.test.cpp": "2026-04-12 16:21:27 -0600",
 "tests/library_checker_aizu_tests/trees/hld_lib_checker_subtree_nodes.test.cpp": "2026-04-12 16:21:27 -0600",
-"tests/library_checker_aizu_tests/trees/kth_path_ladder.test.cpp": "2026-04-26 17:47:31 -0600",
-"tests/library_checker_aizu_tests/trees/kth_path_linear.test.cpp": "2026-06-27 11:22:37 -0500",
+"tests/library_checker_aizu_tests/trees/kth_path_hagerup.test.cpp": "2026-06-27 12:35:34 -0500",
+"tests/library_checker_aizu_tests/trees/kth_path_ladder.test.cpp": "2026-06-27 12:35:34 -0500",
+"tests/library_checker_aizu_tests/trees/kth_path_linear.test.cpp": "2026-06-27 12:35:34 -0500",
 "tests/library_checker_aizu_tests/trees/kth_path_tree_lift.test.cpp": "2026-04-26 11:38:07 -0600",
 "tests/library_checker_aizu_tests/trees/lca_all_methods_aizu.test.cpp": "2026-04-26 11:38:07 -0600",
 "tests/library_checker_aizu_tests/trees/lca_all_methods_lib_checker.test.cpp": "2026-04-26 11:38:07 -0600",