Understand that linear search's worst-case step count grows proportionally with array size, while binary search's worst case grows only with the logarithm of array size — a gap that becomes enormous for large n.
Linear Search (worst case)
1,000 stepsBinary Search (worst case)
10 stepsRatio
100xLinear search, worst case: steps = nBinary search, worst case: steps = ⌈log₂(n + 1)⌉Set array size to 1,000. Confirm binary search needs 10 steps or fewer, while linear search needs the full 1,000.
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