Master linear search, binary search invariants, lower/upper bounds, rotated arrays, and binary search on monotonic answer spaces.
Unordered scanning vs divide-and-conquer, 3 invariant formulations, avoiding integer overflow via mid = low + (high - low) / 2.
C++ std::lower_bound and upper_bound behavior, first and last occurrence extraction, and range frequency calculations.
Inflection point pivot discovery in rotated sorted arrays, handling duplicates, and optimizing on monotonic feasibility predicates.