geo-l1-cairo-multipoint-hull
Map (reference ← swipe → agent)
0:00
I'm putting together the accessibility report for the Metro, and its static maps need to show how far each station's underground box reaches at street level. `cairo_metro_stations.geojson` has each station's street-level entrances. Can you compute the convex hull of each station's entrances and save the result to `cairo_metro_hulls.geojson`, one Polygon per station? Every row must carry `station_name_en` and `station_name_ar`, both non-empty, with the original Arabic strings and diacritics preserved exactly as they appear in the input.
0:00
System info
{
"adapter": "openrouter",
"model": "google/gemma-4-26b-a4b-it",
"base_url": "https://openrouter.ai/api/v1"
}
0:01
Bash
ls -F
ls -F
cairo_metro_stations.geojson
0:20
Write
/work/solve.py
content · 59 lines · py
import geopandas as gpd
def main():
# Load the input file
gdf = gpd.read_file('cairo_metro_stations.geojson')
print("Input columns:", gdf.columns.tolist())
print("First few rows of geometry and names:")
print(gdf[['station_name_en', 'station_name_ar', 'geometry']].head())
# We need to group by station names to get all entrance points for a single station
# However, the prompt says "each station's entrances" are in the file.
# Usually, this means each row is an entrance point.
# Let's check if 'geometry' is Point or MultiPoint or Polygon.
# If each row is a point, we group by station names and compute the convex hull of the points in that group.
# Ensure names are strings and not null for grouping
gdf['station_name_en'] = gdf['station_name_en'].fillna('')
gdf['station_name_ar'] = gdf['station_name_ar'].fillna('')
# Grouping by both names to ensure uniqueness and preservation
# We use a list of columns to group by.
grouped = gdf.groupby(['station_name_en', 'station_name_ar'])
hulls = []
for (name_en, name_ar), group in grouped:
# Calculate the convex hull of all geometries in the group
# unary_union combines all geometries in the group into one geometry
combined_geom = group.geometry.unary_union
hull_geom = combined_geom.convex_hull
hulls.append({
'station_name_en': name_en,
'station_name_ar': name_ar,
'geometry': hull_geom
})
# Create a new GeoDataFrame from the hulls
hulls_gdf = gpd.GeoDataFrame(hulls, crs=gdf.crs)
# Filter out cases where hull might be a Point (if only one entrance)
# but the prompt implies they want the "box" (polygon).
# However, convex_hull of a single point is a Point.
# Let's see if they want Polygons only. "one Polygon per station".
# If a station has only one point, the hull is a point.
# If a station has two points, the hull is a line.
# If a station has 3+ points, it's a polygon.
# The requirement says "one Polygon per station".
# Let's filter to keep only Polygons if necessary, or just save as is.
# Actually, I'll keep it as is, but check if I should enforce Polygon.
hulls_gdf.to_file('cairo_metro_hulls.geojson', driver='GeoJSON')
print("Successfully saved hulls to cairo_metro_hulls.geojson")
if __name__ == "__main__":
main()
Wrote /work/solve.py (2453 chars).
0:21
Bash
python solve.py
python solve.py
Input columns: ['station_name_en', 'station_name_ar', 'geometry']
First few rows of geometry and names:
station_name_en ... geometry
0 Al-Shohadaa ... MULTIPOINT ((31.24644 30.06311), (31.24678 30....
1 Attaba ... MULTIPOINT ((31.2462 30.05151), (31.2464 30.05...
2 Cairo University ... MULTIPOINT ((31.20022 30.02526), (31.20083 30....
3 Dokki ... MULTIPOINT ((31.21193 30.03845), (31.21286 30....
4 El Demerdash ... MULTIPOINT ((31.27273 30.0791), (31.27284 30.0...
[5 rows x 3 columns]
Successfully saved hulls to cairo_metro_hulls.geojson
/work/solve.py:30: DeprecationWarning: The 'unary_union' attribute is deprecated, use the 'union_all()' method instead. combined_geom = group.geometry.unary_union
0:43
Write
/work/solve.py
content · 55 lines · py
import geopandas as gpd
def main():
# Load the input file
gdf = gpd.read_file('cairo_metro_stations.geojson')
# In the previous run, I noticed that each row ALREADY contains a MULTIPOINT
# representing the entrances for that station.
# This means each row is likely already one station.
# Let's double check the data structure.
print("Input columns:", gdf.columns.tolist())
print("Sample geometry type:", gdf.geometry.type.iloc[0])
print("Sample geometry:")
print(gdf.geometry.iloc[0])
# If each row is a station (as indicated by the MULTIPOINT),
# we just need to compute the convex hull of each row's geometry.
# Create a copy to avoid modifying original
hulls_gdf = gdf.copy()
# Compute convex hull for each geometry
# .convex_hull works on individual geometries (Point, MultiPoint, etc.)
hulls_gdf['geometry'] = hulls_gdf.geometry.convex_hull
# Ensure columns are present and not empty (as per requirement)
# The prompt says "Every row must carry station_name_en and station_name_ar, both non-empty"
# We should filter or ensure they are valid.
hulls_gdf = hulls_gdf[
hulls_gdf['station_name_en'].notna() & (hulls_gdf['station_name_en'].astype(str).str.strip() != '') &
hulls_gdf['station_name_ar'].notna() & (hulls_gdf['station_name_ar'].astype(str).str.strip() != '')
]
# The prompt asks for "one Polygon per station".
# Convex hull of a MultiPoint might be a Point or LineString if there aren't enough points.
# However, for a "box", it should be a Polygon.
# Let's check if we should filter for Polygons.
# Usually, if the input is MultiPoint with 3+ points, the hull is a Polygon.
# The instruction says "compute the convex hull... save... one Polygon per station".
# I will filter for Polygons to be safe and meet the "Polygon per station" description.
hulls_gdf = hulls_gdf[hulls_gdf.geometry.type == 'Polygon']
# Select only requested columns to be clean, but the prompt says "Every row must carry...",
# implying it's okay if it carries more, but let's keep it simple.
# Actually, let's just make sure those two are there.
output_gdf = hulls_gdf[['station_name_en', 'station_name_ar', 'geometry']]
output_gdf.to_file('cairo_metro_hulls.geojson', driver='GeoJSON')
print(f"Successfully saved {len(output_gdf)} polygons to cairo_metro_hulls.geojson")
if __name__ == "__main__":
main()
Wrote /work/solve.py (2487 chars).
0:45
Bash
python solve.py
python solve.py
Input columns: ['station_name_en', 'station_name_ar', 'geometry'] Sample geometry type: MultiPoint Sample geometry: MULTIPOINT ((31.246441 30.063109), (31.246778 30.062428), (31.246859 30.063158), (31.247736 30.061538), (31.247931 30.062636)) Successfully saved 20 polygons to cairo_metro_hulls.geojson
0:49
Bash
# Check the contents of the generated file to ensure Arabic is preserved
# Check the contents of the generated file to ensure Arabic is preserved
python -c "import json; print(json.dumps(json.load(open('cairo_metro_hulls.geojson')), ensure_ascii=False, indent=2))" | head -n 50
{
"type": "FeatureCollection",
"name": "cairo_metro_hulls",
"crs": {
"type": "name",
"properties": {
"name": "urn:ogc:def:crs:OGC:1.3:CRS84"
}
},
"features": [
{
"type": "Feature",
"properties": {
"station_name_en": "Al-Shohadaa",
"station_name_ar": "الشهداء"
},
"geometry": {
"type": "Polygon",
"coordinates": [
[
[
31.247736,
30.061538
],
[
31.246778,
30.062428
],
[
31.246441,
30.063109
],
[
31.246859,
30.063158
],
[
31.247931,
30.062636
],
[
31.247736,
30.061538
]
]
]
}
},
{
"type": "Feature",
0:53
Bash
# Verify if all stations from input are in output (minus any that don't form pol...
# Verify if all stations from input are in output (minus any that don't form polygons)
python -c "import geopandas as gpd; \
input_gdf = gpd.read_file('cairo_metro_stations.geojson'); \
output_gdf = gpd.read_file('cairo_metro_hulls.geojson'); \
print('Input stations:', len(input_gdf)); \
print('Output stations:', len(output_gdf)); \
print('Input names:', input_gdf['station_name_en'].tolist()); \
print('Output names:', output_gdf['station_name_en'].tolist())"
Input stations: 20 Output stations: 20 Input names: ['Al-Shohadaa', 'Attaba', 'Cairo University', 'Dokki', 'El Demerdash', 'El Malek El Saleh', 'El-Marg', 'Ghamra', 'Hadayek El-Zaitoun', 'Helmeyet El-Zaitoun', 'Helwan', 'Maadi', 'Manshiet El-Sadr', 'Mar Girgis', 'Mohamed Naguib', 'Nasser', 'Opera', 'Saad Zaghloul', 'Sadat', 'Sayeda Zeinab'] Output names: ['Al-Shohadaa', 'Attaba', 'Cairo University', 'Dokki', 'El Demerdash', 'El Malek El Saleh', 'El-Marg', 'Ghamra', 'Hadayek El-Zaitoun', 'Helmeyet El-Zaitoun', 'Helwan', 'Maadi', 'Manshiet El-Sadr', 'Mar Girgis', 'Mohamed Naguib', 'Nasser', 'Opera', 'Saad Zaghloul', 'Sadat', 'Sayeda Zeinab']
0:57
Bash
# No further changes needed. The script correctly computes the convex hull for e...
# No further changes needed. The script correctly computes the convex hull for each station,
# filters for polygons, preserves the names, and saves the result.
# Let's just do a final check on the count.
python -c "import geopandas as gpd; print(len(gpd.read_file('cairo_metro_hulls.geojson')))"
20
1:09