Explain the Fibonacci DP.
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easyDSA
How do you solve the climbing stairs problem?
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01
Understand the problem
dpclimbing-stairs
02
Attempt it yourself
Sketch your approach before reading the solution — that's what interviews test.
Nudge consolestandby
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03
Study the solution
Ways to reach step n = ways(n-1) + ways(n-2) (take 1 or 2 steps), which is Fibonacci. Compute iteratively with two variables in O(n) time, O(1) space.
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Read the code
O(1)-space DP
Run Playgrounddef climb_stairs(n):
a, b = 1, 1
for _ in range(2, n + 1):
a, b = b, a + b
return b
# --- demo ---
print(climb_stairs(2), climb_stairs(3), climb_stairs(5)) # 2 3 805
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Dossier 2 of 127 decoded in the Data Structures & Algorithms track. One more won't hurt.