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Climbing Stairs With Jumps
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Climbing Stairs With Jumps

MediumPython

Problem

Find the number of ways of climbing stairs with 3 jumps.

Assume each move can climb exactly 1, 2, or 3 stairs, and different jump sequences count as different ways. Given n, return the number of sequences that reach exactly stair n; define the result for n = 0 as 1.

Input: A non-negative integer n.

Output: An integer representing the number of valid sequences.

Examples:

  • n = 4 returns 7, from sequences such as 1+1+1+1, 1+3, and 2+2.
  • n = 0 returns 1, representing the empty sequence.

Constraints: 0 <= n <= 1000.

Constraints

  • 0 <= n <= 1000
  • Each jump must be exactly 1, 2, or 3 stairs
  • Return the exact integer count

Function Signature

def climb_stairs_three_jumps(n):
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