Analyze Vehicle JSON Log

Problem

You are given a JSON log that records velocities of multiple vehicles at different timestamps. Your task is to identify two things: the vehicle that achieved the highest single speed, and the vehicle whose speeds varied the most (largest velocity range).

Input Format

The input is a JSON array of objects. Each object has three fields:

• timestamp (string): an ISO 8601 date-time when the reading was taken.
• vehicle_id (string): a unique identifier for the vehicle.
• velocity (number): the recorded speed at that moment.

Example structure:

[
  {"timestamp": "2023-01-01T00:00:00Z", "vehicle_id": "car_1", "velocity": 10},
  {"timestamp": "2023-01-01T00:00:01Z", "vehicle_id": "car_2", "velocity": 15}
]

Output

Your program should return an object with the following fields:

• vehicle_id: the ID of the vehicle that reached the highest velocity.
• velocity: that maximum velocity value.
• max_range_vehicle_id: the ID of the vehicle with the largest velocity range.
• max_velocity_range: the size of that range.

Note

The velocity range of a vehicle is defined as the difference between its maximum and minimum recorded velocities across all timestamps.

Constraints

• The log contains at most 10⁴ records.
• All velocities are positive numbers.

Example

Input:

[
  {"timestamp": "2023-01-01T00:00:00Z", "vehicle_id": "car_1", "velocity": 10},
  {"timestamp": "2023-01-01T00:00:01Z", "vehicle_id": "car_2", "velocity": 15},
  {"timestamp": "2023-01-01T00:00:02Z", "vehicle_id": "car_1", "velocity": 15},
  {"timestamp": "2023-01-01T00:00:03Z", "vehicle_id": "car_2", "velocity": 18}
]

Output:

{
  "vehicle_id": "car_2",
  "velocity": 18,
  "max_range_vehicle_id": "car_1",
  "max_velocity_range": 5
}

Explanation:

• car_1 recorded velocities 10 and 15 → range = 5.
• car_2 recorded velocities 15 and 18 → range = 3.
• The highest single speed is 18, achieved by car_2.
• The largest velocity range is 5, belonging to car_1.