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Published: Apr 8, 2023 License: MIT Imports: 0 Imported by: 0

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1137. N-th Tribonacci Number

题目

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.

题目大意

泰波那契序列 Tn 定义如下: 

T0 = 0, T1 = 1, T2 = 1, 且在 n >= 0 的条件下 Tn+3 = Tn + Tn+1 + Tn+2

给你整数 n,请返回第 n 个泰波那契数 Tn 的值。

提示:

  • 0 <= n <= 37
  • 答案保证是一个 32 位整数,即 answer <= 2^31 - 1。

解题思路

  • 求泰波那契数列中的第 n 个数。
  • 简单题,按照题意定义计算即可。

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