Performance improvements in VRP with service times #4421

JoFriedrich · 2024-10-22T15:32:47Z

JoFriedrich
Oct 22, 2024

Hello everyone,

I have implemented a VRP in which there are 50 vehicles that start at fixed positions and have arbitrary end positions. These 50 vehicles should visit 100 nodes. There are no arcs between the start positions (sys.maxsize in transition matrix). There are arcs between start positions and nodes and between nodes themselves.
In addition, each node to be visited has a service time.
(see code attached)

Code

  import sys
  from ortools.constraint_solver import pywrapcp
  from ortools.constraint_solver import routing_enums_pb2
  from functools import partial
  
  NUM_VEHICLES = 50
  
  SERVICE_TIMES = [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530]
  
  DISTANCE_MATRIX = [
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  ]
  
  def print_solution(data, manager, routing, solution):
      """Prints solution on console."""
      print(f"Objective: {solution.ObjectiveValue()}")
      max_route_distance = 0
      for vehicle_id in range(data["num_vehicles"]):
          index = routing.Start(vehicle_id)
          plan_output = f"Route for vehicle {vehicle_id}:\n"
          route_distance = 0
          while not routing.IsEnd(index):
              plan_output += f" {manager.IndexToNode(index)} -> "
              previous_index = index
              index = solution.Value(routing.NextVar(index))
              route_distance += routing.GetArcCostForVehicle(
                  previous_index, index, vehicle_id
              )
          plan_output += f"{manager.IndexToNode(index)}\n"
          plan_output += f"Distance of the route: {route_distance}m\n"
          print(plan_output)
          max_route_distance = max(route_distance, max_route_distance)
      print(f"Maximum of the route distances: {max_route_distance}m")
  
  def create_data_model():
      data = {}
      data['distance_matrix'] = DISTANCE_MATRIX
      data['num_vehicles'] = NUM_VEHICLES
  
      # fixed vehicle start positions
      data['starts'] = list(range(1, NUM_VEHICLES + 1))
      # arbitrary end positions 
      data['ends'] = [0] * NUM_VEHICLES
  
      return data
  
  def create_distance_evaluator(data):
      def service_time(node):
          return SERVICE_TIMES[node]
  
      def travel_time(data, from_node, to_node):
          return data["distance_matrix"][from_node][to_node]
  
      _total_time = {}
      for from_node in range(len(data["distance_matrix"])):
          _total_time[from_node] = {}
          for to_node in range(len(data["distance_matrix"])):
              _total_time[from_node][to_node] = travel_time(data, from_node, to_node) + service_time(to_node)
  
      def time_evaluator(manager, from_node, to_node):
          return _total_time[manager.IndexToNode(from_node)][manager.IndexToNode(to_node)]
  
      return time_evaluator
  
  def main():
      data = create_data_model()
  
      manager = pywrapcp.RoutingIndexManager(len(data['distance_matrix']), data['num_vehicles'], data['starts'], data['ends'])
  
      routing = pywrapcp.RoutingModel(manager)
  
      transit_callback_index = routing.RegisterTransitCallback(partial(create_distance_evaluator(data), manager))
      routing.SetArcCostEvaluatorOfAllVehicles(transit_callback_index)
  
      dimension_name = "Distance"
      routing.AddDimension(
          transit_callback_index,
          0,  # no slack
          1_000_000,  # vehicle maximum travel distance
          True,  # start cumul to zero
          dimension_name
      )
      distance_dimension = routing.GetDimensionOrDie(dimension_name)
      distance_dimension.SetGlobalSpanCostCoefficient(100)
  
      search_parameters = pywrapcp.DefaultRoutingSearchParameters()
      search_parameters.first_solution_strategy = (
          routing_enums_pb2.FirstSolutionStrategy.AUTOMATIC
      )
      search_parameters.local_search_metaheuristic = routing_enums_pb2.LocalSearchMetaheuristic.GUIDED_LOCAL_SEARCH
  
      search_parameters.time_limit.FromSeconds(10)
  
      # Solve the problem.
      solution = routing.SolveWithParameters(search_parameters)
  
      # Print solution on console.
      if solution:
          print_solution(data, manager, routing, solution)
      else:
          print("No solution found !")
  
  main()

It takes over 60 seconds to find a solution that is acceptable for my use case. And about 120 seconds to get close to the optimum (see figure attached). Is this expected?

This is too long for my use case. I would rather need a close to optimal solution in under 10 seconds. Is this feasible with or-tools for this problem size?
If yes, what options are there to solve the problem faster? Can the implementation of the model be improved? Would you expect the solver to be much faster when implemented in C++ to avoid callback functions and data being passed between C++ and python?

Thanks a lot!

Or-tools version: 9.10.4067

jmarca · 2024-10-22T18:10:58Z

jmarca
Oct 22, 2024

Did you turn on the matrix caching setting? James (edited on github because the email gateway result is terrible)

0 replies

jmarca · 2024-10-22T18:26:26Z

jmarca
Oct 22, 2024

this parameter: https://github.com/google/or-tools/blob/ed94162b910fa58896db99191378d3b71a5313af/ortools/constraint_solver/routing_parameters.proto#L598 Make it safely larger than your number of nodes. The back and forth from c++ to python is dead slow James (edited because the email gateway at github was illegible.)

1 reply

jmarca Oct 22, 2024

example usage:

    routing_parameters = pywrapcp.DefaultRoutingModelParameters()
    routing_parameters.max_callback_cache_size = 2 * num_nodes * num_vehicles  # excessive, but I really want caching
    routing = pywrapcp.RoutingModel(manager, routing_parameters)

JoFriedrich · 2024-10-23T07:44:16Z

JoFriedrich
Oct 23, 2024
Author

Hi James, thanks a lot for your answers!
I have tried setting the max_callback_cache_size before, but it seems I havent set it correctly. I couldnt find any documentation on this parameter except of the forum posts here. Is there any?
With your example the solver gets to an close to optimal solution after 30 seconds which is much better but still not enough for my usecase.

If you have any other suggestions to improve performance that would be much appreciated! Thanks

0 replies

jmarca · 2024-10-23T15:07:39Z

jmarca
Oct 23, 2024

C++ will be faster for sure. There is also the matrix dimension that does the same thing as the caching thing…you just give it a matrix of costs. Finally, you’re setting infinity for some links and there seem to. be a lot of them. That number really only has to be large enough, say the size of the dimension capacity. And you can also go through every impossible pair and remove the downstream node from the set of next nodes. James

3 replies

JoFriedrich Oct 24, 2024
Author

Thanks again.

I tried using lower numbers than infinity before and tried removing arcs like this:

    for i in range(1, len(data['distance_matrix'])):
        for j in range(1, len(data['distance_matrix'])):
            if data['distance_matrix'][i][j] == MAX_DISTANCE:
                i_index = manager.NodeToIndex(i)
                j_index = manager.NodeToIndex(j)
                routing.NextVar(i_index).RemoveValue(j_index)

It did not seem to improve performance.

What exactly do you mean by the matrix dimension? Using routing.RegisterTransitMatrix like this? :

    transit_callback_index = routing.RegisterTransitMatrix(data_model["distance_matrix"]) 
    routing.SetArcCostEvaluatorOfAllVehicles(transit_callback_index)

I will try implementing it in C++ then..

JoFriedrich Oct 24, 2024
Author

Translating the model into C++ did not really make a difference in the solver`s performance compared to python with activated callback cache (see code attached) :

Code

#include <vector>
#include <cstdint>

#include "ortools/constraint_solver/routing.h"
#include "ortools/constraint_solver/routing_enums.pb.h"
#include "ortools/constraint_solver/routing_index_manager.h"
#include "ortools/constraint_solver/routing_parameters.h"

const int64_t MAX_DISTANCE = 1000001;

namespace operations_research {
struct DataModel {
    const std::vector<int64_t> service_times{0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530, 2350, 2360, 2360, 2370, 2370, 2550, 2550, 2540, 2540, 2530};

    const std::vector<std::vector<int64_t>> distance_matrix{
        {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0},
        {0, 0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 2350, 2370, 2390, 2410, 2430, 2610, 2590, 2570, 2550, 2530, 2570, 2590, 2610, 2630, 2650, 2830, 2810, 2790, 2770, 2750, 2790, 2810, 2830, 2850, 2870, 3050, 3030, 3010, 2990, 2970, 3010, 3030, 3050, 3070, 3090, 3270, 3250, 3230, 3210, 3190, 3230, 3250, 3270, 3290, 3310, 3490, 3470, 3450, 3430, 3410, 3450, 3470, 3490, 3510, 3530, 3710, 3690, 3670, 3650, 3630, 3670, 3690, 3710, 3730, 3750, 3930, 3910, 3890, 3870, 3850, 3890, 3910, 3930, 3950, 3970, 4150, 4130, 4110, 4090, 4070, 4110, 4130, 4150, 4170, 4190, 4370, 4350, 4330, 4310, 4290, 4330, 4350, 4370, 4390, 4410, 4590, 4570, 4550, 4530, 4510},
        {0, MAX_DISTANCE, 0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 2340, 2360, 2380, 2400, 2420, 2600, 2580, 2560, 2540, 2520, 2560, 2580, 2600, 2620, 2640, 2820, 2800, 2780, 2760, 2740, 2780, 2800, 2820, 2840, 2860, 3040, 3020, 3000, 2980, 2960, 3000, 3020, 3040, 3060, 3080, 3260, 3240, 3220, 3200, 3180, 3220, 3240, 3260, 3280, 3300, 3480, 3460, 3440, 3420, 3400, 3440, 3460, 3480, 3500, 3520, 3700, 3680, 3660, 3640, 3620, 3660, 3680, 3700, 3720, 3740, 3920, 3900, 3880, 3860, 3840, 3880, 3900, 3920, 3940, 3960, 4140, 4120, 4100, 4080, 4060, 4100, 4120, 4140, 4160, 4180, 4360, 4340, 4320, 4300, 4280, 4320, 4340, 4360, 4380, 4400, 4580, 4560, 4540, 4520, 4500},
        {0, MAX_DISTANCE, MAX_DISTANCE, 0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 2320, 2340, 2360, 2380, 2400, 2580, 2560, 2540, 2520, 2500, 2540, 2560, 2580, 2600, 2620, 2800, 2780, 2760, 2740, 2720, 2760, 2780, 2800, 2820, 2840, 3020, 3000, 2980, 2960, 2940, 2980, 3000, 3020, 3040, 3060, 3240, 3220, 3200, 3180, 3160, 3200, 3220, 3240, 3260, 3280, 3460, 3440, 3420, 3400, 3380, 3420, 3440, 3460, 3480, 3500, 3680, 3660, 3640, 3620, 3600, 3640, 3660, 3680, 3700, 3720, 3900, 3880, 3860, 3840, 3820, 3860, 3880, 3900, 3920, 3940, 4120, 4100, 4080, 4060, 4040, 4080, 4100, 4120, 4140, 4160, 4340, 4320, 4300, 4280, 4260, 4300, 4320, 4340, 4360, 4380, 4560, 4540, 4520, 4500, 4480},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 2310, 2330, 2350, 2370, 2390, 2570, 2550, 2530, 2510, 2490, 2530, 2550, 2570, 2590, 2610, 2790, 2770, 2750, 2730, 2710, 2750, 2770, 2790, 2810, 2830, 3010, 2990, 2970, 2950, 2930, 2970, 2990, 3010, 3030, 3050, 3230, 3210, 3190, 3170, 3150, 3190, 3210, 3230, 3250, 3270, 3450, 3430, 3410, 3390, 3370, 3410, 3430, 3450, 3470, 3490, 3670, 3650, 3630, 3610, 3590, 3630, 3650, 3670, 3690, 3710, 3890, 3870, 3850, 3830, 3810, 3850, 3870, 3890, 3910, 3930, 4110, 4090, 4070, 4050, 4030, 4070, 4090, 4110, 4130, 4150, 4330, 4310, 4290, 4270, 4250, 4290, 4310, 4330, 4350, 4370, 4550, 4530, 4510, 4490, 4470},
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        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 2090, 2110, 2130, 2150, 2170, 2350, 2330, 2310, 2290, 2270, 2310, 2330, 2350, 2370, 2390, 2570, 2550, 2530, 2510, 2490, 2530, 2550, 2570, 2590, 2610, 2790, 2770, 2750, 2730, 2710, 2750, 2770, 2790, 2810, 2830, 3010, 2990, 2970, 2950, 2930, 2970, 2990, 3010, 3030, 3050, 3230, 3210, 3190, 3170, 3150, 3190, 3210, 3230, 3250, 3270, 3450, 3430, 3410, 3390, 3370, 3410, 3430, 3450, 3470, 3490, 3670, 3650, 3630, 3610, 3590, 3630, 3650, 3670, 3690, 3710, 3890, 3870, 3850, 3830, 3810, 3850, 3870, 3890, 3910, 3930, 4110, 4090, 4070, 4050, 4030, 4070, 4090, 4110, 4130, 4150, 4330, 4310, 4290, 4270, 4250},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 2100, 2120, 2140, 2160, 2180, 2360, 2340, 2320, 2300, 2280, 2320, 2340, 2360, 2380, 2400, 2580, 2560, 2540, 2520, 2500, 2540, 2560, 2580, 2600, 2620, 2800, 2780, 2760, 2740, 2720, 2760, 2780, 2800, 2820, 2840, 3020, 3000, 2980, 2960, 2940, 2980, 3000, 3020, 3040, 3060, 3240, 3220, 3200, 3180, 3160, 3200, 3220, 3240, 3260, 3280, 3460, 3440, 3420, 3400, 3380, 3420, 3440, 3460, 3480, 3500, 3680, 3660, 3640, 3620, 3600, 3640, 3660, 3680, 3700, 3720, 3900, 3880, 3860, 3840, 3820, 3860, 3880, 3900, 3920, 3940, 4120, 4100, 4080, 4060, 4040, 4080, 4100, 4120, 4140, 4160, 4340, 4320, 4300, 4280, 4260},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 2120, 2140, 2160, 2180, 2200, 2380, 2360, 2340, 2320, 2300, 2340, 2360, 2380, 2400, 2420, 2600, 2580, 2560, 2540, 2520, 2560, 2580, 2600, 2620, 2640, 2820, 2800, 2780, 2760, 2740, 2780, 2800, 2820, 2840, 2860, 3040, 3020, 3000, 2980, 2960, 3000, 3020, 3040, 3060, 3080, 3260, 3240, 3220, 3200, 3180, 3220, 3240, 3260, 3280, 3300, 3480, 3460, 3440, 3420, 3400, 3440, 3460, 3480, 3500, 3520, 3700, 3680, 3660, 3640, 3620, 3660, 3680, 3700, 3720, 3740, 3920, 3900, 3880, 3860, 3840, 3880, 3900, 3920, 3940, 3960, 4140, 4120, 4100, 4080, 4060, 4100, 4120, 4140, 4160, 4180, 4360, 4340, 4320, 4300, 4280},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 2130, 2150, 2170, 2190, 2210, 2390, 2370, 2350, 2330, 2310, 2350, 2370, 2390, 2410, 2430, 2610, 2590, 2570, 2550, 2530, 2570, 2590, 2610, 2630, 2650, 2830, 2810, 2790, 2770, 2750, 2790, 2810, 2830, 2850, 2870, 3050, 3030, 3010, 2990, 2970, 3010, 3030, 3050, 3070, 3090, 3270, 3250, 3230, 3210, 3190, 3230, 3250, 3270, 3290, 3310, 3490, 3470, 3450, 3430, 3410, 3450, 3470, 3490, 3510, 3530, 3710, 3690, 3670, 3650, 3630, 3670, 3690, 3710, 3730, 3750, 3930, 3910, 3890, 3870, 3850, 3890, 3910, 3930, 3950, 3970, 4150, 4130, 4110, 4090, 4070, 4110, 4130, 4150, 4170, 4190, 4370, 4350, 4330, 4310, 4290},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 1910, 1930, 1950, 1970, 1990, 2170, 2150, 2130, 2110, 2090, 2130, 2150, 2170, 2190, 2210, 2390, 2370, 2350, 2330, 2310, 2350, 2370, 2390, 2410, 2430, 2610, 2590, 2570, 2550, 2530, 2570, 2590, 2610, 2630, 2650, 2830, 2810, 2790, 2770, 2750, 2790, 2810, 2830, 2850, 2870, 3050, 3030, 3010, 2990, 2970, 3010, 3030, 3050, 3070, 3090, 3270, 3250, 3230, 3210, 3190, 3230, 3250, 3270, 3290, 3310, 3490, 3470, 3450, 3430, 3410, 3450, 3470, 3490, 3510, 3530, 3710, 3690, 3670, 3650, 3630, 3670, 3690, 3710, 3730, 3750, 3930, 3910, 3890, 3870, 3850, 3890, 3910, 3930, 3950, 3970, 4150, 4130, 4110, 4090, 4070},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 1900, 1920, 1940, 1960, 1980, 2160, 2140, 2120, 2100, 2080, 2120, 2140, 2160, 2180, 2200, 2380, 2360, 2340, 2320, 2300, 2340, 2360, 2380, 2400, 2420, 2600, 2580, 2560, 2540, 2520, 2560, 2580, 2600, 2620, 2640, 2820, 2800, 2780, 2760, 2740, 2780, 2800, 2820, 2840, 2860, 3040, 3020, 3000, 2980, 2960, 3000, 3020, 3040, 3060, 3080, 3260, 3240, 3220, 3200, 3180, 3220, 3240, 3260, 3280, 3300, 3480, 3460, 3440, 3420, 3400, 3440, 3460, 3480, 3500, 3520, 3700, 3680, 3660, 3640, 3620, 3660, 3680, 3700, 3720, 3740, 3920, 3900, 3880, 3860, 3840, 3880, 3900, 3920, 3940, 3960, 4140, 4120, 4100, 4080, 4060},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 1880, 1900, 1920, 1940, 1960, 2140, 2120, 2100, 2080, 2060, 2100, 2120, 2140, 2160, 2180, 2360, 2340, 2320, 2300, 2280, 2320, 2340, 2360, 2380, 2400, 2580, 2560, 2540, 2520, 2500, 2540, 2560, 2580, 2600, 2620, 2800, 2780, 2760, 2740, 2720, 2760, 2780, 2800, 2820, 2840, 3020, 3000, 2980, 2960, 2940, 2980, 3000, 3020, 3040, 3060, 3240, 3220, 3200, 3180, 3160, 3200, 3220, 3240, 3260, 3280, 3460, 3440, 3420, 3400, 3380, 3420, 3440, 3460, 3480, 3500, 3680, 3660, 3640, 3620, 3600, 3640, 3660, 3680, 3700, 3720, 3900, 3880, 3860, 3840, 3820, 3860, 3880, 3900, 3920, 3940, 4120, 4100, 4080, 4060, 4040},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 1870, 1890, 1910, 1930, 1950, 2130, 2110, 2090, 2070, 2050, 2090, 2110, 2130, 2150, 2170, 2350, 2330, 2310, 2290, 2270, 2310, 2330, 2350, 2370, 2390, 2570, 2550, 2530, 2510, 2490, 2530, 2550, 2570, 2590, 2610, 2790, 2770, 2750, 2730, 2710, 2750, 2770, 2790, 2810, 2830, 3010, 2990, 2970, 2950, 2930, 2970, 2990, 3010, 3030, 3050, 3230, 3210, 3190, 3170, 3150, 3190, 3210, 3230, 3250, 3270, 3450, 3430, 3410, 3390, 3370, 3410, 3430, 3450, 3470, 3490, 3670, 3650, 3630, 3610, 3590, 3630, 3650, 3670, 3690, 3710, 3890, 3870, 3850, 3830, 3810, 3850, 3870, 3890, 3910, 3930, 4110, 4090, 4070, 4050, 4030},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 1850, 1870, 1890, 1910, 1930, 2110, 2090, 2070, 2050, 2030, 2070, 2090, 2110, 2130, 2150, 2330, 2310, 2290, 2270, 2250, 2290, 2310, 2330, 2350, 2370, 2550, 2530, 2510, 2490, 2470, 2510, 2530, 2550, 2570, 2590, 2770, 2750, 2730, 2710, 2690, 2730, 2750, 2770, 2790, 2810, 2990, 2970, 2950, 2930, 2910, 2950, 2970, 2990, 3010, 3030, 3210, 3190, 3170, 3150, 3130, 3170, 3190, 3210, 3230, 3250, 3430, 3410, 3390, 3370, 3350, 3390, 3410, 3430, 3450, 3470, 3650, 3630, 3610, 3590, 3570, 3610, 3630, 3650, 3670, 3690, 3870, 3850, 3830, 3810, 3790, 3830, 3850, 3870, 3890, 3910, 4090, 4070, 4050, 4030, 4010},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 1850, 1870, 1890, 1910, 1930, 2110, 2090, 2070, 2050, 2030, 2070, 2090, 2110, 2130, 2150, 2330, 2310, 2290, 2270, 2250, 2290, 2310, 2330, 2350, 2370, 2550, 2530, 2510, 2490, 2470, 2510, 2530, 2550, 2570, 2590, 2770, 2750, 2730, 2710, 2690, 2730, 2750, 2770, 2790, 2810, 2990, 2970, 2950, 2930, 2910, 2950, 2970, 2990, 3010, 3030, 3210, 3190, 3170, 3150, 3130, 3170, 3190, 3210, 3230, 3250, 3430, 3410, 3390, 3370, 3350, 3390, 3410, 3430, 3450, 3470, 3650, 3630, 3610, 3590, 3570, 3610, 3630, 3650, 3670, 3690, 3870, 3850, 3830, 3810, 3790, 3830, 3850, 3870, 3890, 3910, 4090, 4070, 4050, 4030, 4010},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 1870, 1890, 1910, 1930, 1950, 2130, 2110, 2090, 2070, 2050, 2090, 2110, 2130, 2150, 2170, 2350, 2330, 2310, 2290, 2270, 2310, 2330, 2350, 2370, 2390, 2570, 2550, 2530, 2510, 2490, 2530, 2550, 2570, 2590, 2610, 2790, 2770, 2750, 2730, 2710, 2750, 2770, 2790, 2810, 2830, 3010, 2990, 2970, 2950, 2930, 2970, 2990, 3010, 3030, 3050, 3230, 3210, 3190, 3170, 3150, 3190, 3210, 3230, 3250, 3270, 3450, 3430, 3410, 3390, 3370, 3410, 3430, 3450, 3470, 3490, 3670, 3650, 3630, 3610, 3590, 3630, 3650, 3670, 3690, 3710, 3890, 3870, 3850, 3830, 3810, 3850, 3870, 3890, 3910, 3930, 4110, 4090, 4070, 4050, 4030},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 1880, 1900, 1920, 1940, 1960, 2140, 2120, 2100, 2080, 2060, 2100, 2120, 2140, 2160, 2180, 2360, 2340, 2320, 2300, 2280, 2320, 2340, 2360, 2380, 2400, 2580, 2560, 2540, 2520, 2500, 2540, 2560, 2580, 2600, 2620, 2800, 2780, 2760, 2740, 2720, 2760, 2780, 2800, 2820, 2840, 3020, 3000, 2980, 2960, 2940, 2980, 3000, 3020, 3040, 3060, 3240, 3220, 3200, 3180, 3160, 3200, 3220, 3240, 3260, 3280, 3460, 3440, 3420, 3400, 3380, 3420, 3440, 3460, 3480, 3500, 3680, 3660, 3640, 3620, 3600, 3640, 3660, 3680, 3700, 3720, 3900, 3880, 3860, 3840, 3820, 3860, 3880, 3900, 3920, 3940, 4120, 4100, 4080, 4060, 4040},
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        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 10220, 10240, 10260, 10280, 10300, 10480, 10460, 10440, 10420, 10400, 10440, 10460, 10480, 10500, 10520, 10700, 10680, 10660, 10640, 10620, 10660, 10680, 10700, 10720, 10740, 10920, 10900, 10880, 10860, 10840, 10880, 10900, 10920, 10940, 10960, 11140, 11120, 11100, 11080, 11060, 11100, 11120, 11140, 11160, 11180, 11360, 11340, 0, 11300, 11280, 11320, 11340, 11360, 11380, 11400, 11580, 11560, 11540, 11520, 11500, 11540, 11560, 11580, 11600, 11620, 11800, 11780, 11760, 11740, 11720, 11760, 11780, 11800, 11820, 11840, 12020, 12000, 11980, 11960, 11940, 11980, 12000, 12020, 12040, 12060, 12240, 12220, 12200, 12180, 12160, 12200, 12220, 12240, 12260, 12280, 12460, 12440, 12420, 12400, 12380},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 10240, 10260, 10280, 10300, 10320, 10500, 10480, 10460, 10440, 10420, 10460, 10480, 10500, 10520, 10540, 10720, 10700, 10680, 10660, 10640, 10680, 10700, 10720, 10740, 10760, 10940, 10920, 10900, 10880, 10860, 10900, 10920, 10940, 10960, 10980, 11160, 11140, 11120, 11100, 11080, 11120, 11140, 11160, 11180, 11200, 11380, 11360, 11340, 0, 11300, 11340, 11360, 11380, 11400, 11420, 11600, 11580, 11560, 11540, 11520, 11560, 11580, 11600, 11620, 11640, 11820, 11800, 11780, 11760, 11740, 11780, 11800, 11820, 11840, 11860, 12040, 12020, 12000, 11980, 11960, 12000, 12020, 12040, 12060, 12080, 12260, 12240, 12220, 12200, 12180, 12220, 12240, 12260, 12280, 12300, 12480, 12460, 12440, 12420, 12400},
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        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 10030, 10050, 10070, 10090, 10110, 10290, 10270, 10250, 10230, 10210, 10250, 10270, 10290, 10310, 10330, 10510, 10490, 10470, 10450, 10430, 10470, 10490, 10510, 10530, 10550, 10730, 10710, 10690, 10670, 10650, 10690, 10710, 10730, 10750, 10770, 10950, 10930, 10910, 10890, 10870, 10910, 10930, 10950, 10970, 10990, 11170, 11150, 11130, 11110, 11090, 0, 11150, 11170, 11190, 11210, 11390, 11370, 11350, 11330, 11310, 11350, 11370, 11390, 11410, 11430, 11610, 11590, 11570, 11550, 11530, 11570, 11590, 11610, 11630, 11650, 11830, 11810, 11790, 11770, 11750, 11790, 11810, 11830, 11850, 11870, 12050, 12030, 12010, 11990, 11970, 12010, 12030, 12050, 12070, 12090, 12270, 12250, 12230, 12210, 12190},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 10020, 10040, 10060, 10080, 10100, 10280, 10260, 10240, 10220, 10200, 10240, 10260, 10280, 10300, 10320, 10500, 10480, 10460, 10440, 10420, 10460, 10480, 10500, 10520, 10540, 10720, 10700, 10680, 10660, 10640, 10680, 10700, 10720, 10740, 10760, 10940, 10920, 10900, 10880, 10860, 10900, 10920, 10940, 10960, 10980, 11160, 11140, 11120, 11100, 11080, 11120, 0, 11160, 11180, 11200, 11380, 11360, 11340, 11320, 11300, 11340, 11360, 11380, 11400, 11420, 11600, 11580, 11560, 11540, 11520, 11560, 11580, 11600, 11620, 11640, 11820, 11800, 11780, 11760, 11740, 11780, 11800, 11820, 11840, 11860, 12040, 12020, 12000, 11980, 11960, 12000, 12020, 12040, 12060, 12080, 12260, 12240, 12220, 12200, 12180},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 10000, 10020, 10040, 10060, 10080, 10260, 10240, 10220, 10200, 10180, 10220, 10240, 10260, 10280, 10300, 10480, 10460, 10440, 10420, 10400, 10440, 10460, 10480, 10500, 10520, 10700, 10680, 10660, 10640, 10620, 10660, 10680, 10700, 10720, 10740, 10920, 10900, 10880, 10860, 10840, 10880, 10900, 10920, 10940, 10960, 11140, 11120, 11100, 11080, 11060, 11100, 11120, 0, 11160, 11180, 11360, 11340, 11320, 11300, 11280, 11320, 11340, 11360, 11380, 11400, 11580, 11560, 11540, 11520, 11500, 11540, 11560, 11580, 11600, 11620, 11800, 11780, 11760, 11740, 11720, 11760, 11780, 11800, 11820, 11840, 12020, 12000, 11980, 11960, 11940, 11980, 12000, 12020, 12040, 12060, 12240, 12220, 12200, 12180, 12160},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9990, 10010, 10030, 10050, 10070, 10250, 10230, 10210, 10190, 10170, 10210, 10230, 10250, 10270, 10290, 10470, 10450, 10430, 10410, 10390, 10430, 10450, 10470, 10490, 10510, 10690, 10670, 10650, 10630, 10610, 10650, 10670, 10690, 10710, 10730, 10910, 10890, 10870, 10850, 10830, 10870, 10890, 10910, 10930, 10950, 11130, 11110, 11090, 11070, 11050, 11090, 11110, 11130, 0, 11170, 11350, 11330, 11310, 11290, 11270, 11310, 11330, 11350, 11370, 11390, 11570, 11550, 11530, 11510, 11490, 11530, 11550, 11570, 11590, 11610, 11790, 11770, 11750, 11730, 11710, 11750, 11770, 11790, 11810, 11830, 12010, 11990, 11970, 11950, 11930, 11970, 11990, 12010, 12030, 12050, 12230, 12210, 12190, 12170, 12150},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9970, 9990, 10010, 10030, 10050, 10230, 10210, 10190, 10170, 10150, 10190, 10210, 10230, 10250, 10270, 10450, 10430, 10410, 10390, 10370, 10410, 10430, 10450, 10470, 10490, 10670, 10650, 10630, 10610, 10590, 10630, 10650, 10670, 10690, 10710, 10890, 10870, 10850, 10830, 10810, 10850, 10870, 10890, 10910, 10930, 11110, 11090, 11070, 11050, 11030, 11070, 11090, 11110, 11130, 0, 11330, 11310, 11290, 11270, 11250, 11290, 11310, 11330, 11350, 11370, 11550, 11530, 11510, 11490, 11470, 11510, 11530, 11550, 11570, 11590, 11770, 11750, 11730, 11710, 11690, 11730, 11750, 11770, 11790, 11810, 11990, 11970, 11950, 11930, 11910, 11950, 11970, 11990, 12010, 12030, 12210, 12190, 12170, 12150, 12130},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9970, 9990, 10010, 10030, 10050, 10230, 10210, 10190, 10170, 10150, 10190, 10210, 10230, 10250, 10270, 10450, 10430, 10410, 10390, 10370, 10410, 10430, 10450, 10470, 10490, 10670, 10650, 10630, 10610, 10590, 10630, 10650, 10670, 10690, 10710, 10890, 10870, 10850, 10830, 10810, 10850, 10870, 10890, 10910, 10930, 11110, 11090, 11070, 11050, 11030, 11070, 11090, 11110, 11130, 11150, 0, 11310, 11290, 11270, 11250, 11290, 11310, 11330, 11350, 11370, 11550, 11530, 11510, 11490, 11470, 11510, 11530, 11550, 11570, 11590, 11770, 11750, 11730, 11710, 11690, 11730, 11750, 11770, 11790, 11810, 11990, 11970, 11950, 11930, 11910, 11950, 11970, 11990, 12010, 12030, 12210, 12190, 12170, 12150, 12130},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9990, 10010, 10030, 10050, 10070, 10250, 10230, 10210, 10190, 10170, 10210, 10230, 10250, 10270, 10290, 10470, 10450, 10430, 10410, 10390, 10430, 10450, 10470, 10490, 10510, 10690, 10670, 10650, 10630, 10610, 10650, 10670, 10690, 10710, 10730, 10910, 10890, 10870, 10850, 10830, 10870, 10890, 10910, 10930, 10950, 11130, 11110, 11090, 11070, 11050, 11090, 11110, 11130, 11150, 11170, 11350, 0, 11310, 11290, 11270, 11310, 11330, 11350, 11370, 11390, 11570, 11550, 11530, 11510, 11490, 11530, 11550, 11570, 11590, 11610, 11790, 11770, 11750, 11730, 11710, 11750, 11770, 11790, 11810, 11830, 12010, 11990, 11970, 11950, 11930, 11970, 11990, 12010, 12030, 12050, 12230, 12210, 12190, 12170, 12150},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 10000, 10020, 10040, 10060, 10080, 10260, 10240, 10220, 10200, 10180, 10220, 10240, 10260, 10280, 10300, 10480, 10460, 10440, 10420, 10400, 10440, 10460, 10480, 10500, 10520, 10700, 10680, 10660, 10640, 10620, 10660, 10680, 10700, 10720, 10740, 10920, 10900, 10880, 10860, 10840, 10880, 10900, 10920, 10940, 10960, 11140, 11120, 11100, 11080, 11060, 11100, 11120, 11140, 11160, 11180, 11360, 11340, 0, 11300, 11280, 11320, 11340, 11360, 11380, 11400, 11580, 11560, 11540, 11520, 11500, 11540, 11560, 11580, 11600, 11620, 11800, 11780, 11760, 11740, 11720, 11760, 11780, 11800, 11820, 11840, 12020, 12000, 11980, 11960, 11940, 11980, 12000, 12020, 12040, 12060, 12240, 12220, 12200, 12180, 12160},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 10020, 10040, 10060, 10080, 10100, 10280, 10260, 10240, 10220, 10200, 10240, 10260, 10280, 10300, 10320, 10500, 10480, 10460, 10440, 10420, 10460, 10480, 10500, 10520, 10540, 10720, 10700, 10680, 10660, 10640, 10680, 10700, 10720, 10740, 10760, 10940, 10920, 10900, 10880, 10860, 10900, 10920, 10940, 10960, 10980, 11160, 11140, 11120, 11100, 11080, 11120, 11140, 11160, 11180, 11200, 11380, 11360, 11340, 0, 11300, 11340, 11360, 11380, 11400, 11420, 11600, 11580, 11560, 11540, 11520, 11560, 11580, 11600, 11620, 11640, 11820, 11800, 11780, 11760, 11740, 11780, 11800, 11820, 11840, 11860, 12040, 12020, 12000, 11980, 11960, 12000, 12020, 12040, 12060, 12080, 12260, 12240, 12220, 12200, 12180},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 10030, 10050, 10070, 10090, 10110, 10290, 10270, 10250, 10230, 10210, 10250, 10270, 10290, 10310, 10330, 10510, 10490, 10470, 10450, 10430, 10470, 10490, 10510, 10530, 10550, 10730, 10710, 10690, 10670, 10650, 10690, 10710, 10730, 10750, 10770, 10950, 10930, 10910, 10890, 10870, 10910, 10930, 10950, 10970, 10990, 11170, 11150, 11130, 11110, 11090, 11130, 11150, 11170, 11190, 11210, 11390, 11370, 11350, 11330, 0, 11350, 11370, 11390, 11410, 11430, 11610, 11590, 11570, 11550, 11530, 11570, 11590, 11610, 11630, 11650, 11830, 11810, 11790, 11770, 11750, 11790, 11810, 11830, 11850, 11870, 12050, 12030, 12010, 11990, 11970, 12010, 12030, 12050, 12070, 12090, 12270, 12250, 12230, 12210, 12190},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9810, 9830, 9850, 9870, 9890, 10070, 10050, 10030, 10010, 9990, 10030, 10050, 10070, 10090, 10110, 10290, 10270, 10250, 10230, 10210, 10250, 10270, 10290, 10310, 10330, 10510, 10490, 10470, 10450, 10430, 10470, 10490, 10510, 10530, 10550, 10730, 10710, 10690, 10670, 10650, 10690, 10710, 10730, 10750, 10770, 10950, 10930, 10910, 10890, 10870, 10910, 10930, 10950, 10970, 10990, 11170, 11150, 11130, 11110, 11090, 0, 11150, 11170, 11190, 11210, 11390, 11370, 11350, 11330, 11310, 11350, 11370, 11390, 11410, 11430, 11610, 11590, 11570, 11550, 11530, 11570, 11590, 11610, 11630, 11650, 11830, 11810, 11790, 11770, 11750, 11790, 11810, 11830, 11850, 11870, 12050, 12030, 12010, 11990, 11970},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9800, 9820, 9840, 9860, 9880, 10060, 10040, 10020, 10000, 9980, 10020, 10040, 10060, 10080, 10100, 10280, 10260, 10240, 10220, 10200, 10240, 10260, 10280, 10300, 10320, 10500, 10480, 10460, 10440, 10420, 10460, 10480, 10500, 10520, 10540, 10720, 10700, 10680, 10660, 10640, 10680, 10700, 10720, 10740, 10760, 10940, 10920, 10900, 10880, 10860, 10900, 10920, 10940, 10960, 10980, 11160, 11140, 11120, 11100, 11080, 11120, 0, 11160, 11180, 11200, 11380, 11360, 11340, 11320, 11300, 11340, 11360, 11380, 11400, 11420, 11600, 11580, 11560, 11540, 11520, 11560, 11580, 11600, 11620, 11640, 11820, 11800, 11780, 11760, 11740, 11780, 11800, 11820, 11840, 11860, 12040, 12020, 12000, 11980, 11960},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9780, 9800, 9820, 9840, 9860, 10040, 10020, 10000, 9980, 9960, 10000, 10020, 10040, 10060, 10080, 10260, 10240, 10220, 10200, 10180, 10220, 10240, 10260, 10280, 10300, 10480, 10460, 10440, 10420, 10400, 10440, 10460, 10480, 10500, 10520, 10700, 10680, 10660, 10640, 10620, 10660, 10680, 10700, 10720, 10740, 10920, 10900, 10880, 10860, 10840, 10880, 10900, 10920, 10940, 10960, 11140, 11120, 11100, 11080, 11060, 11100, 11120, 0, 11160, 11180, 11360, 11340, 11320, 11300, 11280, 11320, 11340, 11360, 11380, 11400, 11580, 11560, 11540, 11520, 11500, 11540, 11560, 11580, 11600, 11620, 11800, 11780, 11760, 11740, 11720, 11760, 11780, 11800, 11820, 11840, 12020, 12000, 11980, 11960, 11940},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9770, 9790, 9810, 9830, 9850, 10030, 10010, 9990, 9970, 9950, 9990, 10010, 10030, 10050, 10070, 10250, 10230, 10210, 10190, 10170, 10210, 10230, 10250, 10270, 10290, 10470, 10450, 10430, 10410, 10390, 10430, 10450, 10470, 10490, 10510, 10690, 10670, 10650, 10630, 10610, 10650, 10670, 10690, 10710, 10730, 10910, 10890, 10870, 10850, 10830, 10870, 10890, 10910, 10930, 10950, 11130, 11110, 11090, 11070, 11050, 11090, 11110, 11130, 0, 11170, 11350, 11330, 11310, 11290, 11270, 11310, 11330, 11350, 11370, 11390, 11570, 11550, 11530, 11510, 11490, 11530, 11550, 11570, 11590, 11610, 11790, 11770, 11750, 11730, 11710, 11750, 11770, 11790, 11810, 11830, 12010, 11990, 11970, 11950, 11930},
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        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9800, 9820, 9840, 9860, 9880, 10060, 10040, 10020, 10000, 9980, 10020, 10040, 10060, 10080, 10100, 10280, 10260, 10240, 10220, 10200, 10240, 10260, 10280, 10300, 10320, 10500, 10480, 10460, 10440, 10420, 10460, 10480, 10500, 10520, 10540, 10720, 10700, 10680, 10660, 10640, 10680, 10700, 10720, 10740, 10760, 10940, 10920, 10900, 10880, 10860, 10900, 10920, 10940, 10960, 10980, 11160, 11140, 11120, 11100, 11080, 11120, 11140, 11160, 11180, 11200, 11380, 11360, 11340, 0, 11300, 11340, 11360, 11380, 11400, 11420, 11600, 11580, 11560, 11540, 11520, 11560, 11580, 11600, 11620, 11640, 11820, 11800, 11780, 11760, 11740, 11780, 11800, 11820, 11840, 11860, 12040, 12020, 12000, 11980, 11960},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9810, 9830, 9850, 9870, 9890, 10070, 10050, 10030, 10010, 9990, 10030, 10050, 10070, 10090, 10110, 10290, 10270, 10250, 10230, 10210, 10250, 10270, 10290, 10310, 10330, 10510, 10490, 10470, 10450, 10430, 10470, 10490, 10510, 10530, 10550, 10730, 10710, 10690, 10670, 10650, 10690, 10710, 10730, 10750, 10770, 10950, 10930, 10910, 10890, 10870, 10910, 10930, 10950, 10970, 10990, 11170, 11150, 11130, 11110, 11090, 11130, 11150, 11170, 11190, 11210, 11390, 11370, 11350, 11330, 0, 11350, 11370, 11390, 11410, 11430, 11610, 11590, 11570, 11550, 11530, 11570, 11590, 11610, 11630, 11650, 11830, 11810, 11790, 11770, 11750, 11790, 11810, 11830, 11850, 11870, 12050, 12030, 12010, 11990, 11970},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9590, 9610, 9630, 9650, 9670, 9850, 9830, 9810, 9790, 9770, 9810, 9830, 9850, 9870, 9890, 10070, 10050, 10030, 10010, 9990, 10030, 10050, 10070, 10090, 10110, 10290, 10270, 10250, 10230, 10210, 10250, 10270, 10290, 10310, 10330, 10510, 10490, 10470, 10450, 10430, 10470, 10490, 10510, 10530, 10550, 10730, 10710, 10690, 10670, 10650, 10690, 10710, 10730, 10750, 10770, 10950, 10930, 10910, 10890, 10870, 10910, 10930, 10950, 10970, 10990, 11170, 11150, 11130, 11110, 11090, 0, 11150, 11170, 11190, 11210, 11390, 11370, 11350, 11330, 11310, 11350, 11370, 11390, 11410, 11430, 11610, 11590, 11570, 11550, 11530, 11570, 11590, 11610, 11630, 11650, 11830, 11810, 11790, 11770, 11750},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9580, 9600, 9620, 9640, 9660, 9840, 9820, 9800, 9780, 9760, 9800, 9820, 9840, 9860, 9880, 10060, 10040, 10020, 10000, 9980, 10020, 10040, 10060, 10080, 10100, 10280, 10260, 10240, 10220, 10200, 10240, 10260, 10280, 10300, 10320, 10500, 10480, 10460, 10440, 10420, 10460, 10480, 10500, 10520, 10540, 10720, 10700, 10680, 10660, 10640, 10680, 10700, 10720, 10740, 10760, 10940, 10920, 10900, 10880, 10860, 10900, 10920, 10940, 10960, 10980, 11160, 11140, 11120, 11100, 11080, 11120, 0, 11160, 11180, 11200, 11380, 11360, 11340, 11320, 11300, 11340, 11360, 11380, 11400, 11420, 11600, 11580, 11560, 11540, 11520, 11560, 11580, 11600, 11620, 11640, 11820, 11800, 11780, 11760, 11740},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9560, 9580, 9600, 9620, 9640, 9820, 9800, 9780, 9760, 9740, 9780, 9800, 9820, 9840, 9860, 10040, 10020, 10000, 9980, 9960, 10000, 10020, 10040, 10060, 10080, 10260, 10240, 10220, 10200, 10180, 10220, 10240, 10260, 10280, 10300, 10480, 10460, 10440, 10420, 10400, 10440, 10460, 10480, 10500, 10520, 10700, 10680, 10660, 10640, 10620, 10660, 10680, 10700, 10720, 10740, 10920, 10900, 10880, 10860, 10840, 10880, 10900, 10920, 10940, 10960, 11140, 11120, 11100, 11080, 11060, 11100, 11120, 0, 11160, 11180, 11360, 11340, 11320, 11300, 11280, 11320, 11340, 11360, 11380, 11400, 11580, 11560, 11540, 11520, 11500, 11540, 11560, 11580, 11600, 11620, 11800, 11780, 11760, 11740, 11720},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9550, 9570, 9590, 9610, 9630, 9810, 9790, 9770, 9750, 9730, 9770, 9790, 9810, 9830, 9850, 10030, 10010, 9990, 9970, 9950, 9990, 10010, 10030, 10050, 10070, 10250, 10230, 10210, 10190, 10170, 10210, 10230, 10250, 10270, 10290, 10470, 10450, 10430, 10410, 10390, 10430, 10450, 10470, 10490, 10510, 10690, 10670, 10650, 10630, 10610, 10650, 10670, 10690, 10710, 10730, 10910, 10890, 10870, 10850, 10830, 10870, 10890, 10910, 10930, 10950, 11130, 11110, 11090, 11070, 11050, 11090, 11110, 11130, 0, 11170, 11350, 11330, 11310, 11290, 11270, 11310, 11330, 11350, 11370, 11390, 11570, 11550, 11530, 11510, 11490, 11530, 11550, 11570, 11590, 11610, 11790, 11770, 11750, 11730, 11710},
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        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9330, 9350, 9370, 9390, 9410, 9590, 9570, 9550, 9530, 9510, 9550, 9570, 9590, 9610, 9630, 9810, 9790, 9770, 9750, 9730, 9770, 9790, 9810, 9830, 9850, 10030, 10010, 9990, 9970, 9950, 9990, 10010, 10030, 10050, 10070, 10250, 10230, 10210, 10190, 10170, 10210, 10230, 10250, 10270, 10290, 10470, 10450, 10430, 10410, 10390, 10430, 10450, 10470, 10490, 10510, 10690, 10670, 10650, 10630, 10610, 10650, 10670, 10690, 10710, 10730, 10910, 10890, 10870, 10850, 10830, 10870, 10890, 10910, 10930, 10950, 11130, 11110, 11090, 11070, 11050, 11090, 11110, 11130, 11150, 11170, 11350, 0, 11310, 11290, 11270, 11310, 11330, 11350, 11370, 11390, 11570, 11550, 11530, 11510, 11490},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9340, 9360, 9380, 9400, 9420, 9600, 9580, 9560, 9540, 9520, 9560, 9580, 9600, 9620, 9640, 9820, 9800, 9780, 9760, 9740, 9780, 9800, 9820, 9840, 9860, 10040, 10020, 10000, 9980, 9960, 10000, 10020, 10040, 10060, 10080, 10260, 10240, 10220, 10200, 10180, 10220, 10240, 10260, 10280, 10300, 10480, 10460, 10440, 10420, 10400, 10440, 10460, 10480, 10500, 10520, 10700, 10680, 10660, 10640, 10620, 10660, 10680, 10700, 10720, 10740, 10920, 10900, 10880, 10860, 10840, 10880, 10900, 10920, 10940, 10960, 11140, 11120, 11100, 11080, 11060, 11100, 11120, 11140, 11160, 11180, 11360, 11340, 0, 11300, 11280, 11320, 11340, 11360, 11380, 11400, 11580, 11560, 11540, 11520, 11500},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9360, 9380, 9400, 9420, 9440, 9620, 9600, 9580, 9560, 9540, 9580, 9600, 9620, 9640, 9660, 9840, 9820, 9800, 9780, 9760, 9800, 9820, 9840, 9860, 9880, 10060, 10040, 10020, 10000, 9980, 10020, 10040, 10060, 10080, 10100, 10280, 10260, 10240, 10220, 10200, 10240, 10260, 10280, 10300, 10320, 10500, 10480, 10460, 10440, 10420, 10460, 10480, 10500, 10520, 10540, 10720, 10700, 10680, 10660, 10640, 10680, 10700, 10720, 10740, 10760, 10940, 10920, 10900, 10880, 10860, 10900, 10920, 10940, 10960, 10980, 11160, 11140, 11120, 11100, 11080, 11120, 11140, 11160, 11180, 11200, 11380, 11360, 11340, 0, 11300, 11340, 11360, 11380, 11400, 11420, 11600, 11580, 11560, 11540, 11520},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9370, 9390, 9410, 9430, 9450, 9630, 9610, 9590, 9570, 9550, 9590, 9610, 9630, 9650, 9670, 9850, 9830, 9810, 9790, 9770, 9810, 9830, 9850, 9870, 9890, 10070, 10050, 10030, 10010, 9990, 10030, 10050, 10070, 10090, 10110, 10290, 10270, 10250, 10230, 10210, 10250, 10270, 10290, 10310, 10330, 10510, 10490, 10470, 10450, 10430, 10470, 10490, 10510, 10530, 10550, 10730, 10710, 10690, 10670, 10650, 10690, 10710, 10730, 10750, 10770, 10950, 10930, 10910, 10890, 10870, 10910, 10930, 10950, 10970, 10990, 11170, 11150, 11130, 11110, 11090, 11130, 11150, 11170, 11190, 11210, 11390, 11370, 11350, 11330, 0, 11350, 11370, 11390, 11410, 11430, 11610, 11590, 11570, 11550, 11530},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9150, 9170, 9190, 9210, 9230, 9410, 9390, 9370, 9350, 9330, 9370, 9390, 9410, 9430, 9450, 9630, 9610, 9590, 9570, 9550, 9590, 9610, 9630, 9650, 9670, 9850, 9830, 9810, 9790, 9770, 9810, 9830, 9850, 9870, 9890, 10070, 10050, 10030, 10010, 9990, 10030, 10050, 10070, 10090, 10110, 10290, 10270, 10250, 10230, 10210, 10250, 10270, 10290, 10310, 10330, 10510, 10490, 10470, 10450, 10430, 10470, 10490, 10510, 10530, 10550, 10730, 10710, 10690, 10670, 10650, 10690, 10710, 10730, 10750, 10770, 10950, 10930, 10910, 10890, 10870, 10910, 10930, 10950, 10970, 10990, 11170, 11150, 11130, 11110, 11090, 0, 11150, 11170, 11190, 11210, 11390, 11370, 11350, 11330, 11310},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9140, 9160, 9180, 9200, 9220, 9400, 9380, 9360, 9340, 9320, 9360, 9380, 9400, 9420, 9440, 9620, 9600, 9580, 9560, 9540, 9580, 9600, 9620, 9640, 9660, 9840, 9820, 9800, 9780, 9760, 9800, 9820, 9840, 9860, 9880, 10060, 10040, 10020, 10000, 9980, 10020, 10040, 10060, 10080, 10100, 10280, 10260, 10240, 10220, 10200, 10240, 10260, 10280, 10300, 10320, 10500, 10480, 10460, 10440, 10420, 10460, 10480, 10500, 10520, 10540, 10720, 10700, 10680, 10660, 10640, 10680, 10700, 10720, 10740, 10760, 10940, 10920, 10900, 10880, 10860, 10900, 10920, 10940, 10960, 10980, 11160, 11140, 11120, 11100, 11080, 11120, 0, 11160, 11180, 11200, 11380, 11360, 11340, 11320, 11300},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9120, 9140, 9160, 9180, 9200, 9380, 9360, 9340, 9320, 9300, 9340, 9360, 9380, 9400, 9420, 9600, 9580, 9560, 9540, 9520, 9560, 9580, 9600, 9620, 9640, 9820, 9800, 9780, 9760, 9740, 9780, 9800, 9820, 9840, 9860, 10040, 10020, 10000, 9980, 9960, 10000, 10020, 10040, 10060, 10080, 10260, 10240, 10220, 10200, 10180, 10220, 10240, 10260, 10280, 10300, 10480, 10460, 10440, 10420, 10400, 10440, 10460, 10480, 10500, 10520, 10700, 10680, 10660, 10640, 10620, 10660, 10680, 10700, 10720, 10740, 10920, 10900, 10880, 10860, 10840, 10880, 10900, 10920, 10940, 10960, 11140, 11120, 11100, 11080, 11060, 11100, 11120, 0, 11160, 11180, 11360, 11340, 11320, 11300, 11280},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9110, 9130, 9150, 9170, 9190, 9370, 9350, 9330, 9310, 9290, 9330, 9350, 9370, 9390, 9410, 9590, 9570, 9550, 9530, 9510, 9550, 9570, 9590, 9610, 9630, 9810, 9790, 9770, 9750, 9730, 9770, 9790, 9810, 9830, 9850, 10030, 10010, 9990, 9970, 9950, 9990, 10010, 10030, 10050, 10070, 10250, 10230, 10210, 10190, 10170, 10210, 10230, 10250, 10270, 10290, 10470, 10450, 10430, 10410, 10390, 10430, 10450, 10470, 10490, 10510, 10690, 10670, 10650, 10630, 10610, 10650, 10670, 10690, 10710, 10730, 10910, 10890, 10870, 10850, 10830, 10870, 10890, 10910, 10930, 10950, 11130, 11110, 11090, 11070, 11050, 11090, 11110, 11130, 0, 11170, 11350, 11330, 11310, 11290, 11270},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9090, 9110, 9130, 9150, 9170, 9350, 9330, 9310, 9290, 9270, 9310, 9330, 9350, 9370, 9390, 9570, 9550, 9530, 9510, 9490, 9530, 9550, 9570, 9590, 9610, 9790, 9770, 9750, 9730, 9710, 9750, 9770, 9790, 9810, 9830, 10010, 9990, 9970, 9950, 9930, 9970, 9990, 10010, 10030, 10050, 10230, 10210, 10190, 10170, 10150, 10190, 10210, 10230, 10250, 10270, 10450, 10430, 10410, 10390, 10370, 10410, 10430, 10450, 10470, 10490, 10670, 10650, 10630, 10610, 10590, 10630, 10650, 10670, 10690, 10710, 10890, 10870, 10850, 10830, 10810, 10850, 10870, 10890, 10910, 10930, 11110, 11090, 11070, 11050, 11030, 11070, 11090, 11110, 11130, 0, 11330, 11310, 11290, 11270, 11250},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9090, 9110, 9130, 9150, 9170, 9350, 9330, 9310, 9290, 9270, 9310, 9330, 9350, 9370, 9390, 9570, 9550, 9530, 9510, 9490, 9530, 9550, 9570, 9590, 9610, 9790, 9770, 9750, 9730, 9710, 9750, 9770, 9790, 9810, 9830, 10010, 9990, 9970, 9950, 9930, 9970, 9990, 10010, 10030, 10050, 10230, 10210, 10190, 10170, 10150, 10190, 10210, 10230, 10250, 10270, 10450, 10430, 10410, 10390, 10370, 10410, 10430, 10450, 10470, 10490, 10670, 10650, 10630, 10610, 10590, 10630, 10650, 10670, 10690, 10710, 10890, 10870, 10850, 10830, 10810, 10850, 10870, 10890, 10910, 10930, 11110, 11090, 11070, 11050, 11030, 11070, 11090, 11110, 11130, 11150, 0, 11310, 11290, 11270, 11250},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9110, 9130, 9150, 9170, 9190, 9370, 9350, 9330, 9310, 9290, 9330, 9350, 9370, 9390, 9410, 9590, 9570, 9550, 9530, 9510, 9550, 9570, 9590, 9610, 9630, 9810, 9790, 9770, 9750, 9730, 9770, 9790, 9810, 9830, 9850, 10030, 10010, 9990, 9970, 9950, 9990, 10010, 10030, 10050, 10070, 10250, 10230, 10210, 10190, 10170, 10210, 10230, 10250, 10270, 10290, 10470, 10450, 10430, 10410, 10390, 10430, 10450, 10470, 10490, 10510, 10690, 10670, 10650, 10630, 10610, 10650, 10670, 10690, 10710, 10730, 10910, 10890, 10870, 10850, 10830, 10870, 10890, 10910, 10930, 10950, 11130, 11110, 11090, 11070, 11050, 11090, 11110, 11130, 11150, 11170, 11350, 0, 11310, 11290, 11270},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9120, 9140, 9160, 9180, 9200, 9380, 9360, 9340, 9320, 9300, 9340, 9360, 9380, 9400, 9420, 9600, 9580, 9560, 9540, 9520, 9560, 9580, 9600, 9620, 9640, 9820, 9800, 9780, 9760, 9740, 9780, 9800, 9820, 9840, 9860, 10040, 10020, 10000, 9980, 9960, 10000, 10020, 10040, 10060, 10080, 10260, 10240, 10220, 10200, 10180, 10220, 10240, 10260, 10280, 10300, 10480, 10460, 10440, 10420, 10400, 10440, 10460, 10480, 10500, 10520, 10700, 10680, 10660, 10640, 10620, 10660, 10680, 10700, 10720, 10740, 10920, 10900, 10880, 10860, 10840, 10880, 10900, 10920, 10940, 10960, 11140, 11120, 11100, 11080, 11060, 11100, 11120, 11140, 11160, 11180, 11360, 11340, 0, 11300, 11280},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9140, 9160, 9180, 9200, 9220, 9400, 9380, 9360, 9340, 9320, 9360, 9380, 9400, 9420, 9440, 9620, 9600, 9580, 9560, 9540, 9580, 9600, 9620, 9640, 9660, 9840, 9820, 9800, 9780, 9760, 9800, 9820, 9840, 9860, 9880, 10060, 10040, 10020, 10000, 9980, 10020, 10040, 10060, 10080, 10100, 10280, 10260, 10240, 10220, 10200, 10240, 10260, 10280, 10300, 10320, 10500, 10480, 10460, 10440, 10420, 10460, 10480, 10500, 10520, 10540, 10720, 10700, 10680, 10660, 10640, 10680, 10700, 10720, 10740, 10760, 10940, 10920, 10900, 10880, 10860, 10900, 10920, 10940, 10960, 10980, 11160, 11140, 11120, 11100, 11080, 11120, 11140, 11160, 11180, 11200, 11380, 11360, 11340, 0, 11300},
        {0, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, MAX_DISTANCE, 9150, 9170, 9190, 9210, 9230, 9410, 9390, 9370, 9350, 9330, 9370, 9390, 9410, 9430, 9450, 9630, 9610, 9590, 9570, 9550, 9590, 9610, 9630, 9650, 9670, 9850, 9830, 9810, 9790, 9770, 9810, 9830, 9850, 9870, 9890, 10070, 10050, 10030, 10010, 9990, 10030, 10050, 10070, 10090, 10110, 10290, 10270, 10250, 10230, 10210, 10250, 10270, 10290, 10310, 10330, 10510, 10490, 10470, 10450, 10430, 10470, 10490, 10510, 10530, 10550, 10730, 10710, 10690, 10670, 10650, 10690, 10710, 10730, 10750, 10770, 10950, 10930, 10910, 10890, 10870, 10910, 10930, 10950, 10970, 10990, 11170, 11150, 11130, 11110, 11090, 11130, 11150, 11170, 11190, 11210, 11390, 11370, 11350, 11330, 0},
    };

    const int num_vehicles = 50;

    std::vector<RoutingIndexManager::NodeIndex> starts;
    std::vector<RoutingIndexManager::NodeIndex> ends; 
};

void initializeStarts(std::vector<operations_research::RoutingIndexManager::NodeIndex>& starts, int num_vehicles) {
    for (int i = 0; i < num_vehicles; i++) {
        starts.push_back(operations_research::RoutingIndexManager::NodeIndex(i));
    }
}

void initializeEnds(std::vector<operations_research::RoutingIndexManager::NodeIndex>& ends, int num_vehicles) {
    for (int i = 0; i < num_vehicles; i++) {
        ends.push_back(operations_research::RoutingIndexManager::NodeIndex(0));
    }
}


//! @brief Print the solution.
//! @param[in] data Data of the problem.
//! @param[in] manager Index manager used.
//! @param[in] routing Routing solver used.
//! @param[in] solution Solution found by the solver.
void PrintSolution(const DataModel& data, const RoutingIndexManager& manager,
                   const RoutingModel& routing, const Assignment& solution) {
  int64_t max_route_distance{0};
  for (int vehicle_id = 0; vehicle_id < data.num_vehicles; ++vehicle_id) {
    int64_t index = routing.Start(vehicle_id);
    LOG(INFO) << "Route for Vehicle " << vehicle_id << ":";
    int64_t route_distance{0};
    std::stringstream route;
    while (!routing.IsEnd(index)) {
      route << manager.IndexToNode(index).value() << " -> ";
      const int64_t previous_index = index;
      index = solution.Value(routing.NextVar(index));
      route_distance += routing.GetArcCostForVehicle(previous_index, index,
                                                     int64_t{vehicle_id});
    }
    LOG(INFO) << route.str() << manager.IndexToNode(index).value();
    LOG(INFO) << "Distance of the route: " << route_distance << "m";
    max_route_distance = std::max(route_distance, max_route_distance);
  }
  LOG(INFO) << "Maximum of the route distances: " << max_route_distance << "m";
  LOG(INFO) << "";
  LOG(INFO) << "Problem solved in " << routing.solver()->wall_time() << "ms";
}

void OrderScheduling() {
    DataModel data;
    initializeStarts(data.starts, data.num_vehicles);
    initializeEnds(data.ends, data.num_vehicles);

    RoutingIndexManager manager(data.distance_matrix.size(), data.num_vehicles, data.starts, data.ends);

    RoutingModelParameters parameters = DefaultRoutingModelParameters();
    parameters.set_max_callback_cache_size(2 * data.distance_matrix.size() * data.num_vehicles);

    RoutingModel routing(manager, parameters);

    const int transit_callback_index = routing.RegisterTransitCallback(
        [&data, &manager](int64_t from_index, int64_t to_index) -> int64_t {
            const int from_node = manager.IndexToNode(from_index).value();
            const int to_node = manager.IndexToNode(to_index).value();
            return data.distance_matrix[from_node][to_node] + data.service_times[to_node];
        });

    routing.SetArcCostEvaluatorOfAllVehicles(transit_callback_index);

    routing.AddDimension(transit_callback_index,  // transit callback
                         0,  // no slack
                         1000000,  // maximum distance per vehicle
                         true,  // start cumul to zero
                         "Distance");
    routing.GetMutableDimension("Distance")->SetGlobalSpanCostCoefficient(100);

    RoutingSearchParameters search_parameters = DefaultRoutingSearchParameters();
    search_parameters.set_first_solution_strategy(FirstSolutionStrategy::AUTOMATIC);
    search_parameters.set_local_search_metaheuristic(LocalSearchMetaheuristic::GUIDED_LOCAL_SEARCH);
    search_parameters.mutable_time_limit()->set_seconds(10);

    const Assignment* solution = routing.SolveWithParameters(search_parameters);

    PrintSolution(data, manager, routing, *solution);
}

}  // namespace operations_research



int main(int /*argc*/, char** /*argv*/) {
    operations_research::OrderScheduling();
    return EXIT_SUCCESS;
}

Regista6 Oct 24, 2024

I took your cpp code and just changed first solution strategy to SAVINGS. (v9.8, release mode)

I0000 00:00:1729778857.782938 9040 main.cpp:212] Maximum of the route distances: 19020m
I0000 00:00:1729778857.782977 9040 main.cpp:213]
I0000 00:00:1729778857.783014 9040 main.cpp:214] Problem solved in 10011ms_

jmarca · 2024-10-24T14:06:07Z

jmarca
Oct 24, 2024

AddMatrixDimension: https://github.com/google/or-tools/blob/a533e7ad0f95f042b6aaccd18c9c8247f50ea4db/ortools/constraint_solver/routing.h#L445 https://github.com/google/or-tools/blob/a533e7ad0f95f042b6aaccd18c9c8247f50ea4db/ortools/constraint_solver/python/routing.i#L112 It just caches the matrix directly. There are no callbacks to python. It won’t be much of a speed up. Another thought, try different initial heuristic strategies. Otherwise, try to simplify your problem. Solve a simpler, less accurate problem (tens of minutes, for example)? Or partition the problem? Do you really need all vehicles at once? Or can you split the problem in half or fourths, and solve each sub problem in parallel? James

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