Falcon-IV Search: A Four-Segment Novel Algorithm for Rapid Data Localization

In this paper, we revisit the enduring problem of efficient searching in ordered data sequences. Although Binary Search (BS) remains the benchmark for structured datasets, alternative multipartition methods such as Ternary Search (TS) and the proposed Falcon-IV Search (FIVS) offer limited asymptotic improvement. With data volumes growing exponentially, enhancing search algorithms to minimize average comparisons beyond theoretical bounds has become increasingly significant. Through a detailed examination of BS and TS implementations, we identify subtle inefficiencies arising from conditional operator placement, revealing how seemingly minor structural choices can yield measurable performance differences.