Introduction to CS | 6.1: Why Approximation Search Hits a Wall
Full course — free exercises, Feynman reviews, and AI-graded feedback: https://ludium.ai/courses/intro-cs-py... Guess-and-check and successive approximation both find a square root by inching a guess upward one tiny step at a time. It works, but it is painfully slow: finding a single square root can take over twenty million guesses and twenty full seconds. This video shows exactly why a linear search collapses as the numbers grow, and sets up the smarter idea that fixes it. Key concepts covered: Why guess-and-check and successive approximation are linear searches How the number of guesses scales with the size of the input The cost of shrinking the step size for more precision Why a faster search strategy is needed ━━━━━━━━━━━━━━━━━━━━━━━━ SOURCE MATERIALS The source materials for this video are from • Lecture 6: Bisection Search
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