The Tribonacci sequence Tn is defined as follows: 

T0 = 0, T1 = 1, T2 = 1, and Tn+3 = Tn + Tn+1 + Tn+2 for n >= 0.

Given n, return the value of Tn.

 

Example 1:

Input: n = 4
Output: 4
Explanation:
T_3 = 0 + 1 + 1 = 2
T_4 = 1 + 1 + 2 = 4

Example 2:

Input: n = 25
Output: 1389537

 

Constraints:

  • 0 <= n <= 37
  • The answer is guaranteed to fit within a 32-bit integer, ie. answer <= 2^31 - 1.




 class Solution:
    def tribonacci(self, n: int) -> int:

        if n == 0:
            return 0

        elif n == 1:
            return 1

        elif n == 2:
            return 1

        t = [0] * (n+2)
        t[0] = 0
        t[1] = 1
        t[2] = 1

        for i in range(3, n+1):
            t[i] = t[i-1] + t[i-2] + t[i-3]

        return t[n]

Random Note


Floyd's Tortoise and Hare is used to detect linked list cycle.