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import math
import itertools
import requests
from typing import List, Tuple, Dict, Optional, Set
class Point:
def __init__(self, coord: List[float], tag: str, visit_time: int):
self.coord = coord
self.tag = tag
self.visit_time = visit_time
self.matrix_index = None # Индекс точки в матрице расстояний
self.estimated_time = None # Оценочное время (перемещение + посещение)
def haversine(coord1: List[float], coord2: List[float]) -> float:
"""Calculate the great-circle distance between two points in kilometers."""
lat1, lon1 = coord1
lat2, lon2 = coord2
R = 6371 # Earth radius in km
dlat = math.radians(lat2 - lat1)
dlon = math.radians(lon2 - lon1)
a = (math.sin(dlat/2) * math.sin(dlat/2) +
math.cos(math.radians(lat1)) * math.cos(math.radians(lat2)) *
math.sin(dlon/2) * math.sin(dlon/2))
return R * 2 * math.atan2(math.sqrt(a), math.sqrt(1 - a))
def filter_points_by_time(start_coord: List[float], points: List[Point], total_time: int) -> List[Point]:
"""Filter points based on straight-line distance and visit time."""
filtered = []
for point in points:
distance = haversine(start_coord, point.coord)
travel_time = distance * 10 # Assume 6 km/h walking speed (10 min/km)
point.estimated_time = travel_time + point.visit_time
if point.estimated_time <= total_time:
filtered.append(point)
return filtered
def filter_points_by_tag_proximity(points: List[Point], max_per_tag: int = 10) -> List[Point]:
"""For each tag, keep only the closest points (by estimated time)."""
# Group points by tag
tag_to_points = {}
for point in points:
if point.tag not in tag_to_points:
tag_to_points[point.tag] = []
tag_to_points[point.tag].append(point)
# For each tag, sort by estimated time and keep top max_per_tag
filtered_points = []
for tag, tag_points in tag_to_points.items():
# Sort by estimated time (ascending)
sorted_points = sorted(tag_points, key=lambda p: p.estimated_time)
# Keep at most max_per_tag points
kept_points = sorted_points[:max_per_tag]
filtered_points.extend(kept_points)
print(f"Tag '{tag}': kept {len(kept_points)} out of {len(tag_points)} points")
return filtered_points
def get_duration_matrix(points: List[List[float]]) -> Optional[Tuple[List[List[float]], List[List[float]]]]:
"""Get duration matrix from server."""
url = "https://ha1m-maap-pdmc.gw-1a.dockhost.net/table"
payload = {"points": points}
headers = {"content-type": "application/json"}
try:
response = requests.post(url, json=payload, headers=headers, timeout=30)
if response.status_code == 200:
data = response.json()
return data.get("distances"), data.get("durations")
else:
print(f"Server error: {response.status_code}")
return None
except Exception as e:
print(f"Error requesting duration matrix: {e}")
return None
def group_points_by_significance(points: List[Point], tag_importance: Dict[str, int]) -> Dict[int, List[Point]]:
"""Group points by their importance level."""
grouped = {}
for point in points:
importance = tag_importance.get(point.tag, float('inf'))
if importance not in grouped:
grouped[importance] = []
grouped[importance].append(point)
return grouped
def calculate_route_time_with_matrix(route: List[Point], start_coord: List[float],
duration_matrix: List[List[float]]) -> float:
"""Calculate total time for a route using the duration matrix."""
total_time = 0
current_index = 0 # Start point index
for point in route:
next_index = point.matrix_index
travel_time_seconds = duration_matrix[current_index][next_index]
travel_time_minutes = travel_time_seconds / 60.0
total_time += travel_time_minutes + point.visit_time
current_index = next_index
return total_time
def check_tags_constraint(points: List[Point]) -> bool:
"""Check if there are no more than 5 unique tags."""
unique_tags = set(point.tag for point in points)
return len(unique_tags) <= 5
def generate_routes_exact_tags(grouped_points: Dict[int, List[Point]],
all_tags: Set[str],
tag_importance: Dict[str, int]) -> List[List[Point]]:
"""Generate routes where each tag is visited exactly once using different coordinates."""
# Create a mapping from tag to points
tag_to_points = {}
for points_list in grouped_points.values():
for point in points_list:
if point.tag not in tag_to_points:
tag_to_points[point.tag] = []
tag_to_points[point.tag].append(point)
# For each tag, we need to select exactly one point
tag_selections = []
for tag in all_tags:
tag_selections.append(tag_to_points[tag])
# Generate all combinations of points (one per tag)
all_routes = []
print(len(list(itertools.product(*tag_selections))))
for point_combination in itertools.product(*tag_selections):
# Check if all points have unique coordinates
coords = [tuple(point.coord) for point in point_combination]
if len(coords) != len(set(coords)):
continue # Skip if any coordinates are duplicated
# Group points by importance
points_by_importance = {}
for point in point_combination:
imp = tag_importance[point.tag]
if imp not in points_by_importance:
points_by_importance[imp] = []
points_by_importance[imp].append(point)
# Sort by importance
sorted_importances = sorted(points_by_importance.keys())
# Generate all permutations within each importance group
importance_groups = [points_by_importance[imp] for imp in sorted_importances]
for ordering in itertools.product(*[itertools.permutations(group) for group in importance_groups]):
route = []
for group in ordering:
route.extend(group)
all_routes.append(route)
return all_routes
def generate_routes_with_repeats(grouped_points: Dict[int, List[Point]],
all_tags: Set[str],
tag_importance: Dict[str, int],
num_points: int) -> List[List[Point]]:
"""Generate routes when we need to repeat tags to reach the required number of points, ensuring unique coordinates."""
# Create a mapping from tag to points
tag_to_points = {}
for points_list in grouped_points.values():
for point in points_list:
if point.tag not in tag_to_points:
tag_to_points[point.tag] = []
tag_to_points[point.tag].append(point)
all_routes = []
# First, select one point for each tag (mandatory points)
mandatory_selections = [tag_to_points[tag] for tag in all_tags]
# Generate all combinations of mandatory points (one per tag)
for mandatory_combo in itertools.product(*mandatory_selections):
mandatory_points = list(mandatory_combo)
# Check if mandatory points have unique coordinates
mandatory_coords = [tuple(point.coord) for point in mandatory_points]
if len(mandatory_coords) != len(set(mandatory_coords)):
continue # Skip if any coordinates are duplicated in mandatory points
# We need to add (num_points - len(mandatory_points)) additional points
num_additional = num_points - len(mandatory_points)
if num_additional == 0:
# We have exactly the right number of points
points_by_importance = {}
for point in mandatory_points:
imp = tag_importance[point.tag]
if imp not in points_by_importance:
points_by_importance[imp] = []
points_by_importance[imp].append(point)
sorted_importances = sorted(points_by_importance.keys())
importance_groups = [points_by_importance[imp] for imp in sorted_importances]
for ordering in itertools.product(*[itertools.permutations(group) for group in importance_groups]):
route = []
for group in ordering:
route.extend(group)
all_routes.append(route)
else:
# We need to add additional points (can be from any tag, including repeats)
# But we must ensure all coordinates are unique
# Get all available points excluding mandatory points
all_available_points = []
for points_list in grouped_points.values():
all_available_points.extend(points_list)
# Remove mandatory points from available points
available_points = [p for p in all_available_points if p not in mandatory_points]
# Generate combinations of additional points
for additional_combo in itertools.combinations(available_points, num_additional):
# Check if additional points have unique coordinates and don't duplicate with mandatory
additional_coords = [tuple(point.coord) for point in additional_combo]
if len(additional_coords) != len(set(additional_coords)):
continue # Skip if any coordinates are duplicated in additional points
# Check if additional points don't duplicate with mandatory points
all_coords = mandatory_coords + additional_coords
if len(all_coords) != len(set(all_coords)):
continue # Skip if any coordinates are duplicated between mandatory and additional
full_route_candidate = mandatory_points + list(additional_combo)
# Group by importance
points_by_importance = {}
for point in full_route_candidate:
imp = tag_importance[point.tag]
if imp not in points_by_importance:
points_by_importance[imp] = []
points_by_importance[imp].append(point)
sorted_importances = sorted(points_by_importance.keys())
importance_groups = [points_by_importance[imp] for imp in sorted_importances]
for ordering in itertools.product(*[itertools.permutations(group) for group in importance_groups]):
route = []
for group in ordering:
route.extend(group)
all_routes.append(route)
return all_routes
def form_point_list(data):
point_list =[]
for entry in data:
point = Point(list(map(float,entry['coordinate'].split(', '))),entry['type'],entry['time_to_visit'])
point_list.append(point)
return point_list
def build_route(data, mapping,start_coord,total_time,n_nodes):
# Example input data - теперь с не более чем 5 уникальными тегами
start_coord_test = [56.331576, 44.003277]
total_time_test = 180 # Увеличим время до 4 часов для большего выбора
points = form_point_list(data)
tag_importance =mapping
# Используем 3 уникальных тега для демонстрации
points_test = [
Point([56.32448, 43.983546], "Памятник", 20),
Point([56.335607, 43.97481], "Архитектура", 20),
Point([56.313472, 43.990747], "Памятник", 20),
#Point([56.324157, 44.002696], "Памятник", 20),
#Point([56.316436, 43.994177], "Памятник", 20),
#Point([56.32377, 44.001879], "Памятник", 20),
#Point([56.329867, 43.99687], "Памятник", 20),
Point([56.311066, 43.94595], "Памятник", 20),
Point([56.333265, 43.972417], "Памятник", 20),
# Point([56.332166, 44.012111], "Памятник", 20),
#Point([56.326786, 44.006836], "Памятник", 20),
Point([56.330232, 44.010941], "Парк", 20),
Point([56.282221, 43.979263], "Парк", 20),
Point([56.277315, 43.921408], "Мозаика", 20),
Point([56.284829, 44.01893], "Парк", 20),
Point([56.308973, 43.99821], "Парк", 20),
Point([56.321545, 44.001921], "Парк", 20),
#Point([56.301798, 44.044003], "Мозаика", 20),
Point([56.268282, 43.919475], "Парк", 20),
Point([56.239625, 43.854551], "Парк", 20),
#Point([56.311214, 43.933981], "Парк", 20),
Point([56.314984, 44.007347], "Парк", 20),
Point([56.32509, 43.983433], "Парк", 20),
Point([56.27449, 43.973357], "Парк", 20),
Point([56.278073, 43.940886], "Парк", 20),
Point([56.358805, 43.825376], "Парк", 20),
Point([56.329995, 44.009444], "Памятник", 20),
Point([56.328551, 43.998718], "Памятник", 20),
Point([56.330355, 43.993105], "Архитектура", 20),
Point([56.321416, 43.973897], "Архитектура", 20),
# Point([56.327298, 44.005706], "Архитектура", 20),
#Point([56.328757, 43.998183], "Архитектура", 20),
# Point([56.328908, 43.995645], "Архитектура", 20),
Point([56.317578, 43.995805], "Архитектура", 20),
Point([56.329433, 44.012764], "Архитектура", 20),
Point([56.3301, 44.008831], "Архитектура", 20),
#Point([56.32995, 43.999495], "Архитектура", 20),
Point([56.327454, 44.041745], "Архитектура", 20),
#Point([56.328576, 44.004872], "Архитектура", 20),
Point([56.3275, 44.007658], "Архитектура", 20),
Point([56.330679, 44.013874], "Архитектура", 20),
# Point([56.331541, 44.001747], "Архитектура", 20),
# Point([56.335071, 43.974627], "Архитектура", 20),
#Point([56.317707, 43.995847], "Архитектура", 20),
#Point([56.323851, 43.985939], "Архитектура", 20),
Point([56.325701, 44.001527], "Архитектура", 20),
Point([56.328754, 43.998954], "Архитектура", 20),
#Point([56.323937, 43.990728], "Музей", 20),
#Point([56.2841, 43.84621], "Музей", 20),
#Point([56.328646, 44.028973], "Музей", 20),
Point([56.327391, 43.857522], "Мозаика", 20),
#Point([56.252239, 43.889066], "Мозаика", 20),
#Point([56.248436, 43.88106], "Мозаика", 20),
#Point([56.321257, 43.94545], "Мозаика", 20),
# Point([56.365284, 43.823251], "Мозаика", 20),
Point([56.294371, 43.912625], "Мозаика", 20),
#Point([56.241768, 43.859687], "Мозаика", 20),
#Point([56.300073, 43.938526], "Мозаика", 20),
#Point([56.229652, 43.947973], "Мозаика", 20),
# Point([56.269486, 43.9238], "Мозаика", 20),
Point([56.299251, 43.985146], "Мозаика", 20),
Point([56.293297, 44.034095], "Мозаика", 20),
Point([56.299251, 43.985146], "Мозаика", 20),
Point([56.229652, 43.947973], "Мозаика", 20),
Point([56.269486, 43.9238], "Мозаика", 20),
#Point([56.293297, 44.034095], "Мозаика", 20),
#Point([56.229652, 43.947973], "Мозаика", 20)
]
tag_importance_test = {
"Памятник": 1,
"Парк": 1,
"Мозаика": 1,
"Архитектура": 1,
#"Музей": 1
}
# Check tags constraint
if not check_tags_constraint(points):
print("Error: More than 5 unique tags in the input data")
return
print("Input data validation: OK (5 or fewer unique tags)")
# Step 1: Filter points using straight-line distance and total time
filtered_by_time = filter_points_by_time(start_coord, points, total_time)
print(f"After initial time filtering: {len(filtered_by_time)} points")
if len(filtered_by_time) < 3:
print("Not enough points after time filtering")
return
# Step 2: Filter points by tag proximity (keep max 10 closest points per tag)
filtered_points = filter_points_by_tag_proximity(filtered_by_time, max_per_tag=10)
print(f"After tag proximity filtering: {len(filtered_points)} points")
if len(filtered_points) < 3:
print("Not enough points after tag proximity filtering")
return
# Step 3: Prepare points for server request (start point + filtered points)
points_for_matrix = [start_coord] + [point.coord for point in filtered_points]
print("Requesting duration matrix from server...")
# Step 4: Get duration matrix from server
result = get_duration_matrix(points_for_matrix)
if result is None:
print("Failed to get duration matrix from server")
return
distances_matrix, durations_matrix = result
print("Duration matrix received successfully")
# Assign matrix indices to points
for i, point in enumerate(filtered_points):
point.matrix_index = i + 1 # +1 because index 0 is the start point
# Step 5: Group by importance
grouped_points = group_points_by_significance(filtered_points, tag_importance)
# Get all unique tags
all_tags = set(point.tag for point in filtered_points)
num_unique_tags = len(all_tags)
print(f"Unique tags: {all_tags} ({num_unique_tags} tags)")
# Step 6: Generate possible routes
print("Generating possible routes...")
# Determine the number of points in the route
if num_unique_tags >= n_nodes:
# Each tag must be visited exactly once
print("Each tag will be visited exactly once with unique coordinates")
possible_routes = generate_routes_exact_tags(grouped_points, all_tags, tag_importance)
else:
# We have fewer than 3 unique tags, need to repeat some tags
print(f"Only {num_unique_tags} unique tags available, will repeat tags to reach 3 points with unique coordinates")
possible_routes = generate_routes_with_repeats(grouped_points, all_tags, tag_importance, n_nodes)
if not possible_routes:
print("No valid routes found that cover all tags with unique coordinates")
return
# Step 7: Calculate time for each route and filter by total_time
valid_routes = []
for route in possible_routes:
route_time = calculate_route_time_with_matrix(route, start_coord, durations_matrix)
if route_time <= total_time:
valid_routes.append((route, route_time))
if not valid_routes:
print("No valid routes found within time constraint")
return
# Step 8: Find optimal route (minimum time)
optimal_route, min_time = min(valid_routes, key=lambda x: x[1])
print(f"\nOptimal route (time: {min_time:.2f} min):")
for i, point in enumerate(optimal_route, 1):
print(f"{i}. {point.tag} at {point.coord} ({point.visit_time} min)")
# Print route details with travel times
print("\nRoute details:")
current_index = 0
total_route_time = 0
for i, point in enumerate(optimal_route):
travel_time_seconds = durations_matrix[current_index][point.matrix_index]
travel_time_minutes = travel_time_seconds / 60.0
segment_time = travel_time_minutes + point.visit_time
total_route_time += segment_time
print(f"Segment {i+1}: {travel_time_minutes:.2f} min travel + {point.visit_time} min visit = {segment_time:.2f} min")
current_index = point.matrix_index
print(f"Total route time: {total_route_time:.2f} min")
# Display all tags covered by the route
route_tags = set(point.tag for point in optimal_route)
print(f"\nTags covered in this route: {', '.join(route_tags)}")
if all_tags.issubset(route_tags):
print("All tags are covered in this route!")
# Verify all coordinates are unique
route_coords = [tuple(point.coord) for point in optimal_route]
if len(route_coords) == len(set(route_coords)):
print("All coordinates in the route are unique!")
else:
print("ERROR: Duplicate coordinates found in the route!")
#if __name__ == "__main__":
# build_route()