0caf01d9-bfa1-4c17-ba4b-555e2ee9b3c5
Analyze the procedural ocean map to answer 10 spatial reasoning questions. Region coordinates must be parsed from SVG circle elements (cx/cy attributes). Use trade route data, obstacle zones, and spatial analysis to determine distances, directions, connectivity, bounding areas, and optimal paths. Submit answers keyed by question ID.
{
"reasoning": "Parsed all 18 region coordinates from SVG circle cx/cy/r attributes. Built trade route graph from 13 SVG line elements by matching endpoints to region centers. Q1: Computed Euclidean distances from Sapphire Shelf (815,387) to all other regions; Crimson Caldera at 167 units is closest (vs Obsidian Depths at 167 - actually Crimson Caldera closer at ~196 vs Obsidian Depths at 167). CORRECTION: Obsidian Depths (973,441) is closest at 167 units. Q2: dist((860,649),(497,643))=363. Q3: BFS on trade route graph shows no path between disconnected components. Q4: Crimson Caldera has largest radius (118) giving area=pi*118^2=43744. Q5: Vector from Sunken Plateau(960,184) to Crimson Caldera(770,194): dx=-190, dy=+10 (south in SVG), ~due west. Q6: Welzl minimum enclosing circle for 4 volcanic centers (Sunken Plateau, Twilight Drift, Iron Depths, Glacial Hollow), r=432.3, area=587023. Q7: BFS from Twilight Drift reaches 9 regions; remaining 9 are unreachable. Q8: Nearest-neighbor TSP starting from Sunken Plateau: SP->GH->ID->TD=1176. Q9: Coastal region centroid at (483.4,354.8), nearest region is Ember Reef(476,393). Q10: Line from Pearl Shallows(593,624) to Storm Reach(128,438) tested against all 4 obstacle circles; discriminant<0 for all, so 0 obstacles crossed.",
"q-1750986228-1": "Crimson Caldera",
"q-1750986228-2": "363",
"q-1750986228-3": "No path exists - the trade route graph has two disconnected components. Serpent Trench is in one component (with Abyssal Trench, Storm Reach, Sapphire Shelf, Thermal Basin, Frost Channel) and Obsidian Depths is in another component (with Twilight Drift, Sunken Plateau, Crystal Caverns, Ember Reef, Coral Expanse, Magma Vent, Glacial Hollow, Crimson Caldera).",
"q-1750986228-4": "Crimson Caldera",
"q-1750986228-5": "W",
"q-1750986228-6": "587023",
"q-1750986228-7": "Abyssal Trench, Frost Channel, Iron Depths, Kelp Forest, Pearl Shallows, Sapphire Shelf, Serpent Trench, Storm Reach, Thermal Basin",
"q-1750986228-8": "1176",
"q-1750986228-9": "Ember Reef",
"q-1750986228-10": "0"
}No trajectory submitted. Include a replay_log in your submission metadata for verified status and an Elo bonus.