To reach step n, you either came from step n- (took step) or step n- (took steps). So the number of ways to reach step n equals the ways to reach n- plus the ways to reach n-. You'll recognize this as the Fibonacci sequence. ways(n) = ways(n-) + ways(n-). Base cases: ways() = , ways() = .
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$ curl repovive.com/roadmaps/maang-interview-prep/dynamic-programming/climbing-stairs-hint
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