Introduction to CS | 6.2: Halving the Search Space at Every Step

Full course — free exercises, Feynman reviews, and AI-graded feedback: https://ludium.ai/courses/intro-cs-py... Hide a bill on one page of a 448-page book and let a friend guess: with no help, blind guessing takes forever, but with a hot-or-cold hint they can win every time in about nine tries. The trick is to rip the search space in half at every step. This video builds the core intuition behind bisection search and shows why halving turns an impossible search into a fast one. Key concepts covered: The one big idea: cut the interval in half each guess Why halving gives logarithmic instead of linear growth Using an ordered range to decide which half to keep How a huge search space shrinks in just a handful of steps ━━━━━━━━━━━━━━━━━━━━━━━━ SOURCE MATERIALS The source materials for this video are from    • Lecture 6: Bisection Search