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Stair Climbing With 1-3
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Stair Climbing With 1-3

HardPython

Problem

Calculate the total number of ways to climb n stairs if you can take 1, 2, or 3 stairs at a time.

Implement climb_stairs(n), which accepts a non-negative integer n and returns the number of distinct ordered sequences of steps that reach exactly stair n. Treat the empty sequence as one way to reach stair 0. Return the result as a Python integer.

Constraints

  • 0 <= n <= 1000
  • Each move must be exactly 1, 2, or 3 stairs
  • Different step orders count as different ways
  • Return the exact count as a Python integer

Function Signature

def climb_stairs(n):
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