Prototype: implement prototype(long[] temps, List<Update> commands) returning List<Long> with a direct baseline.

Final: implement solve(long[] temps, List<Update> commands) with the mechanism and bounds described above. Update("set", index, value) replaces an internal value; Update("min", left, right) queries [left,right). Return only query minima in order and null for empty ranges. Reject unknown operations, invalid set indices, and ranges unless 0 <= left <= right <= n. Negative values are valid. Both stages have the same observable contract. The prototype may use the simpler method; final must use the target data structure.

The supplied nested record types define the API. All methods are static members of Exercise.

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