Integrate A-to-B route planning, turn-by-turn navigation, route optimization, isochrone calculations, location clustering and other tools into your application.
Integrate A-to-B route planning, turn-by-turn navigation, route optimization, isochrone calculations, location clustering and other tools into your application.
Authenticate to the API by passing your key as a query parameter in every request.
You can also try all API parts without registration in our API explorer.
To speed up development and make coding easier, we offer a JavaScript client and a Java client.
You should utilize the SSL session to speed up responses after the initial response or use a library that does this. E.g. for Java the OkHttp library automatically reuses SSL/TLS sessions and also the browser takes care of this automatically. For python you can use the requests library: first you create a session (session = requests.Session()) and then do requests only with this session instead of directly using "requests".
If you create your own client, make sure it supports http/2 and gzipped responses for best speed. If you use the Matrix, the Route Optimization API or the and want to solve large problems, we recommend you to reduce bandwidth by compressing your POST request and specifying the header as follows: Content-Encoding: gzip. This will also avoid the HTTP 413 error "Request Entity Too Large".
The default data source is OpenStreetMap and as an alternative we have also integrated TomTom.
The Route Optimization API can be used to solve traveling salesman or vehicle routing problems. You can use our API Explorer to explore Route Optimization. If you have successfully solved the first problem, we recommend this tutorial - Getting Started with the Optimization API. It shows and describes the essential elements to model your vehicle routing problem.
Further reading:
Start by reading the introduction to the Route Optimization API.
To solve a new vehicle routing problem, make a HTTP POST to this URL
https://graphhopper.com/api/1/vrp?key=<your_key>It returns the solution to this problem in the JSON response.
Please note that this URL is very well suited to solve minor problems. Larger vehicle routing problems, which take longer than 10 seconds to solve, cannot be solved. To solve them, please use the batch mode URL instead.
The request that contains the vehicle routing problem to be solved.
Specifies the available vehicles.
Specifies the ID of the vehicle. Ids must be unique, i.e. if there are two vehicles with the same ID, an error is returned.
The type ID assigns a vehicle type to this vehicle. You can specify types in the array of vehicle types. If you omit the type ID, the default type is used. The default type is a car with a capacity of 0.
If this is omitted AND return_to_depot is true then the vehicle needs to return to its start_address.
If it is false, the algorithm decides where to end the vehicle route. It ends in one of your customers' locations. The end is chosen such that it contributes to the overall objective function, e.g. min transport_time. If it is true, you can either specify a specific end location (which is then regarded as end depot) or you can leave it and the driver returns to its start location.
Earliest start of vehicle in seconds. It is recommended to use the unix timestamp.
Latest end of vehicle in seconds, i.e. the time the vehicle needs to be at its end location at latest.
Array of skills, i.e. array of string (not case sensitive).
Specifies the maximum distance (in meters) a vehicle can go.
Specifies the maximum drive time (in seconds) a vehicle/driver can go, i.e. the maximum time on the road (service and waiting times are not included here)
Specifies the maximum number of jobs a vehicle can load.
Specifies the minimum number of jobs a vehicle should load. This is a soft constraint, i.e. if it is not possible to fulfill “min_jobs”, we will still try to get as close as possible to this constraint.
Specifies the maximum number of activities a vehicle can conduct.
Specifies the available vehicle types. These types can be assigned to vehicles.
Specifies the id of the vehicle type. If a vehicle needs to be of this type, it should refer to this with its type_id attribute.
The routing profile. It determines the network, speed and other physical attributes used when computing the route. See the section about routing profiles for more details and valid profile values.
Specifies an array of capacity dimension values which need to be int values. For example, if there are two dimensions such as volume and weight then it needs to be defined as [ 1000, 300 ] assuming a maximum volume of 1000 and a maximum weight of 300.
Specifies a speed factor for this vehicle type. If the vehicle that uses this type needs to be only half as fast as what is actually calculated with our routing engine then set the speed factor to 0.5.
Specifies a service time factor for this vehicle type. If the vehicle/driver that uses this type is able to conduct the service as double as fast as it is determined in the corresponding service or shipment then set it to 0.5.
BETA feature! Cost parameter per distance unit, here meter is used
BETA feature! Cost parameter per time unit, here second is used
BETA feature! Cost parameter vehicle activation, i.e. fixed costs per vehicle
Specifies whether traffic should be considered. if "tomtom" is used and this is false, free flow travel times from "tomtom" are calculated. If this is true, historical traffic info are used. We do not yet have traffic data for "openstreetmap", thus, setting this true has no effect at all.
Specifies the network data provider. Either use openstreetmap (default) or tomtom (add-on required).
Specifies the orders of the type "service". These are, for example, pick-ups, deliveries or other stops that are to be approached by the specified vehicles. Each of these orders contains only one location.
Specifies the id of the service. Ids need to be unique so there must not be two services/shipments with the same id.
Specifies type of service. This makes a difference if items are loaded or unloaded, i.e. if one of the size dimensions > 0. If it is specified as service or pickup, items are loaded and will stay in the vehicle for the rest of the route (and thus consumes capacity for the rest of the route). If it is a delivery, items are implicitly loaded at the beginning of the route and will stay in the route until delivery (and thus releases capacity for the rest of the route).
Specifies the priority. Can be 1 = high priority to 10 = low priority. Often there are more services/shipments than the available vehicle fleet can handle. Then you can set priorities to differentiate high priority tasks from those that could be left unassigned. I.e. the lower the priority the earlier these tasks are omitted in the solution.
Specifies the duration of the service in seconds, i.e. how long it takes at the customer site.
Specifies the preparation time in seconds. It can be used to model parking lot search time since if you have 3 identical locations in a row, it only falls due once.
Specifies an array of time window objects (see time_window object below). Specify the time either with the recommended Unix time stamp (the number of seconds since 1970-01-01) or you can also count the seconds relative to Monday morning 00:00 and define the whole week in seconds. For example, Monday 9am is then represented by 9hour * 3600sec/hour = 32400. In turn, Wednesday 1pm corresponds to 2day * 24hour/day * 3600sec/hour + 1day * 13hour/day * 3600sec/hour = 219600. See this tutorial for more information.
Size can have multiple dimensions and should be in line with the capacity dimension array of the vehicle type. For example, if the item that needs to be delivered has two size dimension, volume and weight, then specify it as follow [ 20, 5 ] assuming a volume of 20 and a weight of 5.
Specifies an array of required skills, i.e. array of string (not case sensitive). For example, if this service needs to be conducted by a technician having a drilling_machine and a screw_driver then specify the array as follows: ["drilling_machine","screw_driver"]. This means that the service can only be done by a vehicle (technician) that has the skills drilling_machine AND screw_driver in its skill array. Otherwise it remains unassigned.
Specifies an array of allowed vehicles, i.e. array of vehicle ids. For example, if this service can only be conducted EITHER by technician_peter OR technician_stefan specify this as follows: ["technician_peter","technician_stefan"].
Specifies an array of disallowed vehicles, i.e. array of vehicle ids.
Specifies an array of preferred vehicles.
Specifies the maximum time in seconds a delivery can stay in the vehicle. Currently, it only works with services of "type":"delivery".
Group this service belongs to. See the group relation and this post on how to utilize this.
Specifies the available shipments. Each shipment consists of a pickup and a delivery. For a single shipment, the pickup must always occur before the delivery. However, pickups and deliveries from multiple shipments can be sequenced independently.
Specifies the id of the shipment. Ids need to be unique so there must not be two services/shipments with the same id.
Meaningful name for shipment, e.g. "pickup and deliver pizza to Peter".
Specifies the priority. Can be 1 = high priority to 10 = low priority. Often there are more services/shipments than the available vehicle fleet can handle. Then you can set priorities to differentiate high priority tasks from those that could be left unassigned. I.e. the lower the priority the earlier these tasks are omitted in the solution.
Size can have multiple dimensions and should be in line with the capacity dimension array of the vehicle type. For example, if the item that needs to be delivered has two size dimension, volume and weight, then specify it as follow [ 20, 5 ] assuming a volume of 20 and a weight of 5.
Specifies an array of required skills, i.e. array of string (not case sensitive). For example, if this shipment needs to be conducted by a technician having a drilling_machine and a screw_driver then specify the array as follows: ["drilling_machine","screw_driver"]. This means that the service can only be done by a vehicle (technician) that has the skills drilling_machine AND screw_driver in its skill array. Otherwise it remains unassigned.
Specifies an array of allowed vehicles, i.e. array of vehicle ids. For example, if this shipment can only be conducted EITHER by "technician_peter" OR "technician_stefan" specify this as follows: ["technician_peter","technician_stefan"].
Specifies an array of disallowed vehicles, i.e. array of vehicle ids.
Specifies an array of preferred vehicles.
Defines additional relationships between orders.
Specifies the type of relation. It must be either of type in_same_route, not_in_same_route, in_sequence, in_direct_sequence or neighbor.
in_same_route: As the name suggest, it enforces the specified services or shipments to be in the same route. It can be specified as follows:
{
"type": "in_same_route",
"ids": ["serv_i_id","serv_j_id"]
}This enforces service i to be in the same route as service j no matter which vehicle will be employed. If a specific vehicle (driver) is required to conduct this, just add a vehicle_id like this:
{
"type": "in_same_route",
"ids": ["serv_i_id","serv_j_id"],
"vehicle_id": "vehicle1"
}This not only enforce service i and j to be in the same route, but also makes sure that both services are in the route of vehicle1.
Tip: This way initial loads and vehicle routes can be modelled. For example, if your vehicles are already on the road and new orders come in, then vehicles can still be rescheduled subject to the orders that have already been assigned to these vehicles.
not_in_same_route: It ensures that 2 or more orders are not transported by the same vehicle. It can be specified as follows:
{
"type": "not_in_same_route",
"ids": ["serv_i_id","serv_j_id"]
}in_sequence: This relation type enforces n jobs to be in sequence. It can be specified as
{
"type": "in_sequence",
"ids": ["serv_i_id","serv_j_id"]
}which means that service j need to be in the same route as service i AND it needs to occur somewhere after service i. As described above if a specific vehicle needs to conduct this, just add vehicle_id.
in_direct_sequence: This enforces n services or shipments to be in direct sequence. It can be specified as
{
"type": "in_direct_sequence",
"ids": ["serv_i_id","serv_j_id","serv_k_id"]
}yielding service j to occur directly after service i, and service k to occur directly after service j i.e. in strong order. Again, a vehicle can be assigned a priority by adding a vehicle_id to the relation.
neighbor: This specifies a neighbor relationship, i.e., if services i and j are to be neighbors, i must be either immediately before or after j. I can be specified as follows:
{
"type": "neighbor",
"ids": ["serv_i_id","serv_j_id"]
}Special IDs: If you look at the previous example and you want service i to be the first in the route, use the special ID start as follows:
{
"type": "in_direct_sequence",
"ids": ["start","serv_i_id","serv_j_id","serv_k_id"]
}Latter enforces the direct sequence of i, j and k at the beginning of the route. If this sequence should be bound to the end of the route, use the special ID end like this:
{
"type": "in_direct_sequence",
"ids": ["serv_i_id","service_j_id","serv_k_id","end"]
}If you deal with services then you need to use the 'id' of your services in the field 'ids'. To also consider sequences of the pickups and deliveries of your shipments, you need to use a special ID, i.e. use the shipment id plus the keyword _pickup or _delivery. For example, to ensure that the pickup and delivery of the shipment with the id 'my_shipment' are direct neighbors, you need the following specification:
{
"type": "in_direct_sequence",
"ids": ["my_ship_pickup","my_ship_delivery"]
}Specifies an array of shipment and/or service ids that are in relation. If you deal with services then you need to use the id of your services in ids. To also consider sequences of the pickups and deliveries of your shipments, you need to use a special ID, i.e. use your shipment id plus the keyword _pickup or _delivery. If you want to place a service or shipment activity at the beginning of your route, use the special ID start. In turn, use end to place it at the end of the route.
Specifies an objective function. The vehicle routing problem is solved in such a way that this objective function is minimized.
Type of objective function, i.e. min or min-max.
min: Minimizes the objective value.min-max: Minimizes the maximum objective value.For instance, min -> vehicles minimizes the number of employed vehicles. min -> completion_time minimizes the sum of your vehicle routes' completion time.
If you use, for example, min-max -> completion_time, it minimizes the maximum of your vehicle routes' completion time, i.e. it minimizes the overall makespan. This only makes sense if you have more than one vehicle. In case of one vehicle, switching from min to min-max should not have any impact. If you have more than one vehicle, then the algorithm tries to constantly move stops from one vehicle to another such that the completion time of longest vehicle route can be further reduced. For example, if you have one vehicle that takes 8 hours to serve all customers, adding another vehicle (and using min-max) might halve the time to serve all customers to 4 hours. However, this usually comes with higher transport costs.
If you want to minimize vehicles first and, second, completion_time, you can also combine different objectives like this:
"objectives" : [
{
"type": "min",
"value": "vehicles"
},
{
"type": "min",
"value": "completion_time"
}
]If you want to balance activities or the number of stops among all employed drivers, you need to specify it as follows:
"objectives" : [
{
"type": "min-max",
"value": "completion_time"
},
{
"type": "min-max",
"value": "activities"
}
]The value of the objective function. The objective value transport_time solely considers the time your drivers spend on the road, i.e. transport time. In contrary to transport_time, completion_time also takes waiting times at customer sites into account. The completion_time of a route is defined as the time from starting to ending the route, i.e. the route's transport time, the sum of waiting times plus the sum of activity durations. The completion_time_last_stop, on the other hand, refers to the completion time of the very last order in a tour or, in other words, the completion time without the last section from the last stop to the end of the tour. This is typically used if the orders are to be processed as quickly as possible. The objective value vehicles can only be used along with min and minimizes vehicles.
Specifies your own tranport time and distance matrices.
Specifies general configurations.
curl -X POST -H "Content-Type: application/json" "https://graphhopper.com/api/1/vrp?key=api_key" -d '{
"vehicles": [
{
"vehicle_id": "my_vehicle",
"start_address": {
"location_id": "berlin",
"lon": 13.406,
"lat": 52.537
}
}
],
"services": [
{
"id": "hamburg",
"name": "visit_hamburg",
"address": {
"location_id": "hamburg",
"lon": 9.999,
"lat": 53.552
}
},
{
"id": "munich",
"name": "visit_munich",
"address": {
"location_id": "munich",
"lon": 11.57,
"lat": 48.145
}
}
]}'A response containing the solution
The number of seconds that you have to wait before a reset of the credit count is done.
Indicates the current status of the job
Processing time in ms. If job is still waiting in queue, processing_time is 0
Only available if status field indicates finished.
Overall distance travelled in meter, i.e. the sum of each route's transport distance
Overall time travelled in seconds, i.e. the sum of each route's transport time.
Overall completion time in seconds, i.e. the sum of each routes/drivers operation time.
Number of jobs that could not be assigned to final solution.
{ "copyrights": [ "GraphHopper", "OpenStreetMap contributors" ], "job_id": "d62fcadd-c84a-4298-90b5-28550125bec5", "status": "finished", "waiting_time_in_queue": 0, "processing_time": 459, "solution": { "costs": 438, "distance": 17994, "time": 4094, "transport_time": 4094, "completion_time": 4172, "max_operation_time": 2465, "waiting_time": 78, "service_duration": 0, "preparation_time": 0, "no_vehicles": 2, "no_unassigned": 0, "routes": [ { "vehicle_id": "vehicle-2", "distance": 10618, "transport_time": 2465, "completion_time": 2465, "waiting_time": 0, "service_duration": 0, "preparation_time": 0, "points": [ { "coordinates": [ [ 13.40608, 52.53701 ], [ 13.40643, 52.53631 ], [ 13.40554, 52.53616 ], [ 13.4054, 52.53608 ], [ 13.40445, 52.53513 ], [ 13.40436, 52.53509 ], [ 13.40428, 52.53508 ], [ 13.40463, 52.53419 ], [ 13.40451, 52.53419 ], [ 13.4034, 52.53401 ], [ 13.403, 52.53359 ], [ 13.40291, 52.53354 ], [ 13.40268, 52.53347 ], [ 13.39888, 52.53259 ], [ 13.39839, 52.53253 ], [ 13.39812, 52.53251 ], [ 13.39616, 52.53243 ], [ 13.39579, 52.5324 ], [ 13.38973, 52.53173 ], [ 13.39163, 52.53025 ], [ 13.38797, 52.52935 ], [ 13.38763, 52.52996 ] ], "type": "LineString" }, { "coordinates": [ [ 13.38763, 52.52996 ], [ 13.38739, 52.53039 ], [ 13.38724, 52.53036 ], [ 13.38464, 52.52929 ], [ 13.38538, 52.52871 ], [ 13.38634, 52.52792 ], [ 13.38638, 52.52779 ], [ 13.38657, 52.52763 ], [ 13.38676, 52.52741 ], [ 13.38698, 52.52713 ], [ 13.38704, 52.52701 ], [ 13.38753, 52.524 ], [ 13.3877, 52.52307 ], [ 13.3878, 52.52282 ], [ 13.38788, 52.52252 ], [ 13.38802, 52.52174 ], [ 13.38519, 52.52009 ], [ 13.38539, 52.5191 ], [ 13.38548, 52.51852 ], [ 13.38042, 52.51819 ], [ 13.38071, 52.5167 ], [ 13.38076, 52.51652 ], [ 13.38084, 52.51634 ], [ 13.3821, 52.51396 ], [ 13.38055, 52.51365 ] ], "type": "LineString" }, { "coordinates": [ [ 13.38055, 52.51365 ], [ 13.38229, 52.514 ], [ 13.38363, 52.51429 ], [ 13.3848, 52.51445 ], [ 13.38504, 52.51358 ], [ 13.39124, 52.51397 ], [ 13.3911, 52.51488 ], [ 13.39303, 52.51499 ], [ 13.39317, 52.5141 ], [ 13.39548, 52.51419 ], [ 13.39571, 52.51421 ] ], "type": "LineString" }, { "coordinates": [ [ 13.39571, 52.51421 ], [ 13.39695, 52.51434 ], [ 13.39674, 52.51523 ], [ 13.39742, 52.51531 ], [ 13.39873, 52.51558 ], [ 13.39846, 52.51599 ], [ 13.39825, 52.51729 ], [ 13.39805, 52.51755 ], [ 13.39892, 52.51761 ], [ 13.39917, 52.51764 ], [ 13.39964, 52.51775 ], [ 13.40009, 52.51791 ], [ 13.40034, 52.51797 ], [ 13.4021, 52.51864 ], [ 13.40288, 52.51896 ], [ 13.40375, 52.51936 ], [ 13.40498, 52.52001 ], [ 13.40463, 52.5203 ], [ 13.40311, 52.52144 ], [ 13.40442, 52.52189 ], [ 13.40448, 52.52192 ], [ 13.40451, 52.52195 ], [ 13.40473, 52.52199 ], [ 13.40504, 52.52208 ], [ 13.40572, 52.52235 ], [ 13.40687, 52.52294 ], [ 13.40693, 52.52299 ], [ 13.40706, 52.52319 ], [ 13.40738, 52.52378 ], [ 13.40787, 52.52443 ], [ 13.4079, 52.52453 ], [ 13.40938, 52.52401 ], [ 13.40962, 52.52398 ], [ 13.41001, 52.52395 ], [ 13.41072, 52.52391 ], [ 13.41215, 52.52389 ], [ 13.41233, 52.52386 ], [ 13.4131, 52.5235 ], [ 13.41288, 52.52333 ], [ 13.41475, 52.52247 ], [ 13.41496, 52.52264 ], [ 13.41523, 52.52251 ], [ 13.41633, 52.52338 ], [ 13.41631, 52.52346 ], [ 13.41654, 52.52364 ], [ 13.41684, 52.52351 ] ], "type": "LineString" }, { "coordinates": [ [ 13.41684, 52.52351 ], [ 13.41654, 52.52364 ], [ 13.41631, 52.52346 ], [ 13.4163, 52.52344 ], [ 13.41587, 52.52363 ], [ 13.41572, 52.5235 ], [ 13.41409, 52.5242 ], [ 13.41454, 52.52461 ], [ 13.41454, 52.52466 ], [ 13.41358, 52.52508 ], [ 13.41366, 52.52514 ], [ 13.41344, 52.52525 ], [ 13.4133, 52.52514 ], [ 13.41316, 52.5252 ], [ 13.41107, 52.52585 ], [ 13.41118, 52.52606 ], [ 13.41118, 52.52616 ], [ 13.41095, 52.52664 ], [ 13.41097, 52.52678 ], [ 13.41084, 52.52706 ], [ 13.41057, 52.52747 ], [ 13.41028, 52.52809 ], [ 13.41032, 52.52821 ], [ 13.4102, 52.52847 ], [ 13.40999, 52.52875 ], [ 13.40984, 52.52905 ], [ 13.40982, 52.52914 ], [ 13.40984, 52.52926 ], [ 13.4104, 52.52998 ], [ 13.4105, 52.53001 ], [ 13.41064, 52.53016 ], [ 13.41082, 52.5303 ], [ 13.41198, 52.53107 ], [ 13.4122, 52.53128 ], [ 13.41232, 52.53143 ], [ 13.41247, 52.53192 ], [ 13.41267, 52.53245 ], [ 13.41275, 52.53259 ], [ 13.41215, 52.5327 ], [ 13.40731, 52.53463 ], [ 13.40608, 52.53701 ] ], "type": "LineString" } ], "activities": [ { "type": "start", "location_id": "berlin", "address": { "location_id": "berlin", "lat": 52.537, "lon": 13.406 }, "end_time": 1554804329, "end_date_time": null, "distance": 0, "driving_time": 0, "preparation_time": 0, "waiting_time": 0, "load_after": [ 0 ] }, { "type": "pickupShipment", "id": "7fe77504-7df8-4497-843c-02d70b6490ce", "location_id": "13.387613_52.529961", "address": { "location_id": "13.387613_52.529961", "lat": 52.529961, "lon": 13.387613 }, "arr_time": 1554804789, "arr_date_time": null, "end_time": 1554804789, "end_date_time": null, "waiting_time": 0, "distance": 2012, "driving_time": 460, "preparation_time": 0, "load_before": [ 0 ], "load_after": [ 1 ] }, { "type": "deliverShipment", "id": "7fe77504-7df8-4497-843c-02d70b6490ce", "location_id": "13.380575_52.513614", "address": { "location_id": "13.380575_52.513614", "lat": 52.513614, "lon": 13.380575 }, "arr_time": 1554805344, "arr_date_time": null, "end_time": 1554805344, "end_date_time": null, "waiting_time": 0, "distance": 4560, "driving_time": 1015, "preparation_time": 0, "load_before": [ 1 ], "load_after": [ 0 ] }, { "type": "service", "id": "s-4", "location_id": "13.395767_52.514038", "address": { "location_id": "13.395767_52.514038", "lat": 52.514038, "lon": 13.395767 }, "arr_time": 1554805632, "arr_date_time": null, "end_time": 1554805632, "end_date_time": null, "waiting_time": 0, "distance": 5887, "driving_time": 1303, "preparation_time": 0, "load_before": [ 0 ], "load_after": [ 1 ] }, { "type": "service", "id": "s-3", "location_id": "13.416882_52.523543", "address": { "location_id": "13.416882_52.523543", "lat": 52.523543, "lon": 13.416882 }, "arr_time": 1554806253, "arr_date_time": null, "end_time": 1554806253, "end_date_time": null, "waiting_time": 0, "distance": 8486, "driving_time": 1924, "preparation_time": 0, "load_before": [ 1 ], "load_after": [ 2 ] }, { "type": "end", "location_id": "berlin", "address": { "location_id": "berlin", "lat": 52.537, "lon": 13.406 }, "arr_time": 1554806794, "arr_date_time": null, "distance": 10618, "driving_time": 2465, "preparation_time": 0, "waiting_time": 0, "load_before": [ 2 ] } ] }, { "vehicle_id": "vehicle-1", "distance": 7376, "transport_time": 1629, "completion_time": 1707, "waiting_time": 78, "service_duration": 0, "preparation_time": 0, "points": [ { "coordinates": [ [ 13.40608, 52.53701 ], [ 13.40674, 52.53571 ], [ 13.40433, 52.53313 ], [ 13.40271, 52.53149 ], [ 13.40246, 52.53121 ], [ 13.40148, 52.52999 ], [ 13.40128, 52.52993 ], [ 13.40118, 52.52988 ], [ 13.40133, 52.5296 ], [ 13.40138, 52.52951 ], [ 13.40167, 52.52914 ], [ 13.40188, 52.52895 ], [ 13.398, 52.52885 ], [ 13.39289, 52.52748 ], [ 13.39354, 52.5264 ], [ 13.39358, 52.52628 ], [ 13.39324, 52.52575 ], [ 13.39334, 52.52573 ], [ 13.39339, 52.52584 ] ], "type": "LineString" }, { "coordinates": [ [ 13.39339, 52.52584 ], [ 13.3934, 52.52599 ], [ 13.39358, 52.52628 ], [ 13.39354, 52.5264 ], [ 13.39242, 52.52823 ], [ 13.39381, 52.52852 ], [ 13.38973, 52.53173 ], [ 13.38717, 52.5315 ], [ 13.38678, 52.5315 ], [ 13.38641, 52.53147 ], [ 13.38617, 52.53143 ], [ 13.38607, 52.53155 ], [ 13.38526, 52.53225 ], [ 13.38501, 52.53252 ], [ 13.38316, 52.53418 ], [ 13.38179, 52.5355 ], [ 13.38084, 52.53523 ], [ 13.38081, 52.53531 ], [ 13.3795, 52.53677 ], [ 13.37941, 52.53682 ], [ 13.37935, 52.53683 ], [ 13.37919, 52.53682 ], [ 13.37617, 52.5361 ], [ 13.37502, 52.53698 ], [ 13.37584, 52.53734 ] ], "type": "LineString" }, { "coordinates": [ [ 13.37584, 52.53734 ], [ 13.37566, 52.53726 ], [ 13.37515, 52.53763 ], [ 13.37644, 52.53841 ], [ 13.37807, 52.53935 ], [ 13.37946, 52.5402 ], [ 13.3796, 52.54019 ], [ 13.37984, 52.54021 ], [ 13.37988, 52.54012 ], [ 13.38062, 52.53936 ], [ 13.38169, 52.53832 ], [ 13.38236, 52.5377 ], [ 13.38363, 52.53661 ], [ 13.38492, 52.53555 ], [ 13.38613, 52.53447 ], [ 13.38757, 52.53338 ], [ 13.38791, 52.53354 ], [ 13.38812, 52.53368 ], [ 13.38833, 52.53392 ], [ 13.38977, 52.53518 ], [ 13.39003, 52.53539 ],