{ "task_id": "ENG3", "title": "Gaussian source reverse water-filling and coupled quantum ground-state energy", "category": "Information theory and signal processing", "instruction_file": "instruction.md", "input_data": "All parameters and equations needed for the task are embedded in instruction.md.", "action_schema": { "type": "object", "properties": { "ground_state_mechanical_kinetic_energy_mev": { "type": "number" } }, "required": [ "ground_state_mechanical_kinetic_energy_mev" ], "additionalProperties": true, "description": "All numerical values must be finite JSON numbers. Exact per-field domains, units and tolerances are specified by the instruction and verifier." }, "external_data_required": false }