// standart imports #include #include #include #include #include #include // json imports #include "include/json.hpp" using json = nlohmann::json; using namespace std::chrono; // other imports #include "include/context.hpp" #include "include/utils.hpp" #include "include/random_solution.hpp" #include "include/local_2_opt_search.hpp" #include "include/local_k_opt_search.hpp" // additional functions & methods #include "include/additional.hpp" // Fast Lin-Kernighan style candidate chain evaluation bool evaluate_candidate_chain(const Config& config, Context& context, int start_city, int max_chain_length, double& best_gain) { std::vector chain = {start_city}; std::vector in_chain(config.cities_number, false); in_chain[start_city] = true; double current_gain = 0.0; int current = start_city; for (int step = 0; step < max_chain_length; ++step) { int best_next = -1; double best_step_gain = -1e9; // Evaluate top candidates for the current city for (int i = 0; i < std::min(12, config.candidates_number); ++i) { int candidate = context.candidates[current * config.candidates_number + i]; if (in_chain[candidate]) continue; // Calculate potential gain from adding this candidate double gain = get_distance_double(config, context, current, context.path[current].next) - get_distance_double(config, context, current, candidate); if (gain > best_step_gain) { best_step_gain = gain; best_next = candidate; } } if (best_next == -1 || best_step_gain <= 0) break; chain.push_back(best_next); in_chain[best_next] = true; current_gain += best_step_gain; current = best_next; // Check if closing the tour gives improvement double close_gain = get_distance_double(config, context, chain.back(), chain[0]) - get_distance_double(config, context, chain.back(), context.path[chain.back()].next); double total_gain = current_gain + close_gain; if (total_gain > best_gain) { best_gain = total_gain; return true; // Found improving move } } return false; } // Fast greedy initial solution based on nearest neighbor from candidate list void generate_greedy_solution(const Config& config, Context& context, int iteration) { std::vector visited(config.cities_number, false); int start_city = (iteration * 13 + iteration * iteration) % config.cities_number; context.solution[0] = start_city; visited[start_city] = true; int current = start_city; for (int i = 1; i < config.cities_number; ++i) { int best_next = -1; double best_dist = std::numeric_limits::max(); // Consider top candidates for speed int limit = std::min(12, config.candidates_number); for (int j = 0; j < limit; ++j) { int candidate = context.candidates[current * config.candidates_number + j]; if (!visited[candidate]) { double dist = get_distance_double(config, context, current, candidate); if (dist < best_dist) { best_dist = dist; best_next = candidate; } } } // Fallback to nearest unvisited city if (best_next == -1) { for (int j = 0; j < config.cities_number; ++j) { if (!visited[j]) { double dist = get_distance_double(config, context, current, j); if (dist < best_dist) { best_dist = dist; best_next = j; } } } } context.solution[i] = best_next; visited[best_next] = true; current = best_next; } } // --- config parameters --- // `cities_number`: number of points on the 2D surface. // `input_path`: path to the file with cities coordinates and the edge heat map. // `output_path`: path to the file where to write the optimal hamiltonian cycle and corresponding metrics. // `use_heat_map_as_initial_weights`: whether to use the heat map as initial for the weights matrix. // `candidates_source`: 'knn' or 'heat_map', if 'heat_map' the candidates for each city are the nearest cities to it. // `candidates_number`: number of candidate cities for each city. // `max_k_opt_depth`: maximum chain links (k parameter) in simulation. // `random_k_opt_depth_after_first_iteration`: if to randomly change the `max_k_opt_depth` after the first iteration (restart). // `min_potential_to_consider`: minimum potential of an edge to consider it in simulation (look at the formula for potential to understand fully). // `exploration_coefficient`: hyperparameter for exploration. // `weight_delta_coefficient`: hyperparameter for updating the weights matrix. // `use_sensitivity_decrease`: whether to reduce weight flow for deep edges in unsuccessful k'opt search. // `sensitivity_temperature`: hyperparameter for controlling the weight decrease in unsuccessful simulation depending on the length of a chain. // `max_k_opt_simulations_without_improve_to_stop`: the number of MCTS simulations per restart. // `restarts_number`: number of times algorithm restarts while maintaining the weights matrix (number of iterations). // `distance_type`: "int32", "int64" or "double". // `magnify_rate`: when `distance_type` is "int32" or "int64" algorithm relies only on integers to find an optimal solution (for speed), therefore each distance is magnified by `magnify_rate` value and rounded to integer. (if `distance_type` = 'double' this parameter is ignored) void read_input_data(const Config& config, Context& context) { std::ifstream input_file(config.input_path); int cities_number; input_file >> cities_number; // reading coordinates for (int i = 0; i < config.cities_number; ++i) { input_file >> context.coordinates_double_x[i] >> context.coordinates_double_y[i]; if (config.distance_type == DistanceType::Int32) { context.coordinates_int32_x[i] = static_cast(0.5 + context.coordinates_double_x[i] * config.magnify_rate); context.coordinates_int32_y[i] = static_cast(0.5 + context.coordinates_double_y[i] * config.magnify_rate); } if (config.distance_type == DistanceType::Int64) { context.coordinates_int64_x[i] = static_cast(0.5 + context.coordinates_double_x[i] * config.magnify_rate); context.coordinates_int64_y[i] = static_cast(0.5 + context.coordinates_double_y[i] * config.magnify_rate); } } // calculating distances for (int i = 0; i < config.cities_number; ++i) { for (int j = 0; j < config.cities_number; ++j) { context.distance_double[i * config.cities_number + j] = calc_distance_double(context, i, j); if (config.distance_type == DistanceType::Int32) { context.distance_int32[i * config.cities_number + j] = calc_distance_int32(context, i, j); } if (config.distance_type == DistanceType::Int64) { context.distance_int64[i * config.cities_number + j] = calc_distance_int64(context, i, j); } } } if (config.use_heat_map_as_initial_weights) { // reading heat map for (int i = 0; i < config.cities_number * config.cities_number; ++i) { input_file >> context.heat_map[i]; context.weight[i] = context.heat_map[i]; } } else { for (int i = 0; i < config.cities_number * config.cities_number; ++i) { context.weight[i] = 0.0; } } // initializing total weight for (int i = 0; i < config.cities_number; ++i) { double total_weight = 0.0; for (int j = 0; j < config.cities_number; ++j) { total_weight += smooth_relu(context.weight[i * config.cities_number + j]); } context.total_weight[i] = total_weight; } // calculating candidates if (config.candidates_source == CandidatesSource::KNN) { identify_candidates_for_each_node(config, context, context.distance_double, false); } else if (config.candidates_source == CandidatesSource::HeatMap) { identify_candidates_for_each_node(config, context, context.heat_map, true); } else { throw std::invalid_argument("Unknown candidates source."); } } static void shake_from_best(const Config& config, Context& context, int swaps) { // If best is not initialized yet, bail out if (context.best_path_distance_double == inf_double && context.best_path_distance_int32 == inf_int32 && context.best_path_distance_int64 == inf_int64) { return; } // Start from the current best path restore_best_path(config, context); convert_path_to_solution(config, context); // Apply a few random swaps in solution space, then rebuild path for (int s = 0; s < swaps; ++s) { int a = get_random_int_by_module(config.cities_number); int b = get_random_int_by_module(config.cities_number); if (a == b) continue; std::swap(context.solution[a], context.solution[b]); } convert_solution_to_path(config, context); calc_and_save_total_distance(config, context); } void solve(const Config& config, Context& context) { // the found solution will be stored in context.solution // initialization std::chrono::time_point start_total_time = high_resolution_clock::now(), end_total_time; std::chrono::time_point start_time, end_time; int max_k_opt_depth = config.max_k_opt_depth; for (int i = 1; i < config.restarts_number + 1; ++i) { // time-capped restarts double elapsed = duration_cast>(high_resolution_clock::now() - start_total_time).count(); if (elapsed >= 159.0) break; // Extended time cap to use full 160s budget if (i % 100 == 0) { std::cout << "# --------- Iteration: " << i << '\n'; } int improved_times = 0; // Optimized restart strategy with better time-quality tradeoff start_time = high_resolution_clock::now(); double time_elapsed = duration_cast>(high_resolution_clock::now() - start_total_time).count(); // Time-aware restart strategy with progressive intensification if (time_elapsed > 40.0 && i > 60) { double quality_ratio = context.path_distance_double / context.best_path_distance_double; // More aggressive exploitation strategy if (quality_ratio < 1.006) { // Elite solution - intensive local search if (i % 3 == 0) { shake_from_best(config, context, 1); // Light perturbation } else { restore_best_path(config, context); } } else if (quality_ratio < 1.020) { // Good solution - balanced approach if (i % 4 == 0) { shake_from_best(config, context, 3); // Moderate perturbation } else { generate_greedy_solution(config, context, i); convert_solution_to_path(config, context); } } else { // Poor solution - fresh start with greedy generate_greedy_solution(config, context, i); convert_solution_to_path(config, context); } } else if (i <= 50 || context.best_path_distance_double == inf_double) { // Early phase: rapid exploration if (i % 3 == 0) { generate_random_solution(config, context); } else { generate_greedy_solution(config, context, i); } convert_solution_to_path(config, context); } else { // Middle phase: balanced exploration if (i % 8 == 0) { generate_random_solution(config, context); } else { generate_greedy_solution(config, context, i); } convert_solution_to_path(config, context); } end_time = high_resolution_clock::now(); calc_and_save_total_distance(config, context); if (config.distance_type != DistanceType::Double) { context.path_distance_double = calc_total_distance_double(config, context); } if (i % 100 == 0) { std::cout << std::setprecision(8) << "Phase #1 (random cycle). Total distance: " << context.path_distance_double << ", Time: " << duration_cast(end_time - start_time).count() << " ms\n"; } // local 2opt search start_time = high_resolution_clock::now(); improved_times = local_2_opt_search(config, context); end_time = high_resolution_clock::now(); if (config.distance_type != DistanceType::Double) { context.path_distance_double = calc_total_distance_double(config, context); } if (i % 100 == 0) { std::cout << std::setprecision(8) << "Phase #2 (local 2'opt search). Total distance: " << context.path_distance_double << ", Improved times: " << improved_times << ", Time: " << duration_cast(end_time - start_time).count() << " ms\n"; } // Selective 3-opt search for better solution quality start_time = high_resolution_clock::now(); int improved_3_opt_times = 0; double current_ratio = context.path_distance_double / context.best_path_distance_double; // More frequent 3-opt activation for elite solutions (0.4% threshold) if (current_ratio < 1.004 && i % 2 == 0) { // Elite solutions, more frequent int max_3_opt_iterations = 25; for (int three_opt_iter = 0; three_opt_iter < max_3_opt_iterations; three_opt_iter++) { bool improved = false; // Spatial distribution of starting points int city1 = (three_opt_iter * 7919) % config.cities_number; // Efficient candidate evaluation int candidate_limit = std::min(8, config.candidates_number); for (int candidate_idx1 = 0; candidate_idx1 < candidate_limit && !improved; candidate_idx1++) { int city2 = context.candidates[city1 * config.candidates_number + candidate_idx1]; if (city1 == city2) continue; int second_level_limit = std::min(6, config.candidates_number); for (int candidate_idx2 = 0; candidate_idx2 < second_level_limit && !improved; candidate_idx2++) { int city3 = context.candidates[city2 * config.candidates_number + candidate_idx2]; if (city1 == city3 || city2 == city3) continue; if (apply_3_opt_move(config, context, city1, city2, city3)) { improved_3_opt_times++; improved = true; break; } } } } } end_time = high_resolution_clock::now(); if (config.distance_type != DistanceType::Double) { context.path_distance_double = calc_total_distance_double(config, context); } if (i % 100 == 0) { std::cout << std::setprecision(8) << "Phase #3 (local 3'opt search). Total distance: " << context.path_distance_double << ", Improved times: " << improved_3_opt_times << ", Time: " << duration_cast(end_time - start_time).count() << " ms\n"; } // Selective k-opt activation for better solution quality start_time = high_resolution_clock::now(); current_ratio = context.path_distance_double / context.best_path_distance_double; int adaptive_k_opt_depth = 0; int adaptive_simulations = 0; // Aggressive k-opt activation for elite solutions (0.1% threshold) if (current_ratio < 1.001 && i % 2 == 0) { // Elite solutions, more frequent adaptive_k_opt_depth = max_k_opt_depth; adaptive_simulations = config.max_k_opt_simulations_without_improve_to_stop; } else if (current_ratio < 1.0025 && i % 4 == 0) { // Good solutions, less frequent (0.25% threshold) adaptive_k_opt_depth = std::min(24, max_k_opt_depth); adaptive_simulations = std::min(20, config.max_k_opt_simulations_without_improve_to_stop); } if (adaptive_k_opt_depth > 0) { improved_times = local_k_opt_search(config, context, adaptive_k_opt_depth); } else { improved_times = 0; } end_time = high_resolution_clock::now(); if (config.distance_type != DistanceType::Double) { context.path_distance_double = calc_total_distance_double(config, context); } if (i % 100 == 0) { std::cout << std::setprecision(8) << "Phase #3 (local k'opt search). Total distance: " << context.path_distance_double << ", Improved times: " << improved_times << ", Time: " << duration_cast(end_time - start_time).count() << " ms\n"; } // changing the best path if ( (config.distance_type == DistanceType::Double && context.path_distance_double < context.best_path_distance_double) || (config.distance_type == DistanceType::Int32 && context.path_distance_int32 < context.best_path_distance_int32) || (config.distance_type == DistanceType::Int64 && context.path_distance_int64 < context.best_path_distance_int64) ) { store_path_as_best(config, context); // also updates best path distance } if (config.random_k_opt_depth_after_first_iteration) { // More aggressive depth adaptation for better solution quality double progress = static_cast(i) / config.restarts_number; double quality_factor = context.path_distance_double / context.best_path_distance_double; double time_elapsed = duration_cast>(high_resolution_clock::now() - start_total_time).count(); double time_remaining = 159.0 - time_elapsed; // More aggressive time utilization for solution quality double time_factor = std::min(1.0, time_remaining / 60.0); if (progress < 0.3) { // Early phase - deeper exploration max_k_opt_depth = 22 + (rand() % (10 + static_cast(8 * time_factor))); } else if (progress < 0.7) { // Middle phase - balanced depth if (quality_factor < 1.006) { max_k_opt_depth = 26 + (rand() % (12 + static_cast(6 * time_factor))); } else { max_k_opt_depth = 24 + (rand() % (10 + static_cast(5 * time_factor))); } } else { // Late phase - focused depth for elite solutions if (quality_factor < 1.004 && time_remaining > 30.0) { max_k_opt_depth = 28 + (rand() % (10 + static_cast(6 * time_factor))); } else { max_k_opt_depth = 24 + (rand() % (8 + static_cast(4 * time_factor))); } } max_k_opt_depth = std::min(max_k_opt_depth, config.max_k_opt_depth); max_k_opt_depth = std::max(18, max_k_opt_depth); } if (i % 100 == 0) { std::cout << '\n'; } } // Final intensification phase end_total_time = high_resolution_clock::now(); double total_elapsed = duration_cast>(end_total_time - start_total_time).count(); double time_remaining = 159.0 - total_elapsed; if (time_remaining > 2.0) { // Restore best path to context.path restore_best_path(config, context); convert_path_to_solution(config, context); calc_and_save_total_distance(config, context); auto intensification_start = high_resolution_clock::now(); double intensification_time_limit = std::min(5.0, time_remaining - 1.0); int intensification_improvements = 0; // Run 3-opt intensification with a time limit bool improved = true; while (improved && duration_cast>(high_resolution_clock::now() - intensification_start).count() < intensification_time_limit) { improved = false; // Try each city as starting point for (int city1 = 0; city1 < config.cities_number; ++city1) { int limit1 = std::min(12, config.candidates_number); for (int idx1 = 0; idx1 < limit1; ++idx1) { int city2 = context.candidates[city1 * config.candidates_number + idx1]; if (city1 == city2) continue; int limit2 = std::min(8, config.candidates_number); for (int idx2 = 0; idx2 < limit2; ++idx2) { int city3 = context.candidates[city2 * config.candidates_number + idx2]; if (city1 == city3 || city2 == city3) continue; if (apply_3_opt_move(config, context, city1, city2, city3)) { improved = true; ++intensification_improvements; break; } } if (improved) break; } if (improved) break; // Check time if (duration_cast>(high_resolution_clock::now() - intensification_start).count() >= intensification_time_limit) break; } } // If improvements found, update best path if (intensification_improvements > 0) { calc_and_save_total_distance(config, context); store_path_as_best(config, context); } } // final convertation (context.best_path to context.solution) restore_best_path(config, context); convert_path_to_solution(config, context); end_total_time = high_resolution_clock::now(); std::cout << "Total elapsed time: " << static_cast(duration_cast(end_total_time - start_total_time).count()) / 1000 << " sec\n\n"; } int main(int argc, char** argv) { // reading configuration std::cout << "Reading configuration...\n"; if (argc != 2) { std::cerr << "Usage: The first and only argument should be the path to the config file."; return 1; } std::ifstream config_file(argv[1]); json config_raw; config_file >> config_raw; Config config(config_raw); std::cout << "Number of cities: " << config.cities_number << "\n\n"; // initialization & memory allocation Context context(config); // reading input data std::cout << "Reading input data...\n"; read_input_data(config, context); // solving std::cout << "Solving...\n"; solve(config, context); // printing the solution std::ofstream output_file(config.output_path); std::cout << "Final solution:\n"; for (int i = 0; i < config.cities_number; ++i) { std::cout << context.solution[i] << ' '; output_file << context.solution[i] << ' '; } std::cout << "\n\nFinal solution score: " << calc_total_distance_double(config, context) << '\n'; return 0; }