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Problem: N-th Tribonacci Number

Medium
30 min
Explore how to calculate the N-th Tribonacci number by applying dynamic programming concepts. Understand the sequence definition and constraints, then develop an efficient algorithm to solve this problem, enhancing your coding interview skills in optimization and sequence computation.

Statement

Given a number n, calculate the corresponding Tribonacci number. The Tribonacci sequence TnT_n is defined as:

T0=0, T1=1, T2=1T_0 = 0,\space T_1 = 1,\space T_2 = 1, and  Tn+3=Tn+Tn+1+Tn+2, \space T_{n+3} = T_n + T_{n+1} + T_{n+2},\space for n>=0n >= 0

The input number, n, is a non-negative integer.

Constraints:

  • 00 \leq n 37\leq 37
  • The answer is guaranteed to fit within a 32-bit integer, i.e., answer 2311\leq 2 ^{31} - 1
Problem
Ask
Submissions

Problem: N-th Tribonacci Number

Medium
30 min
Explore how to calculate the N-th Tribonacci number by applying dynamic programming concepts. Understand the sequence definition and constraints, then develop an efficient algorithm to solve this problem, enhancing your coding interview skills in optimization and sequence computation.

Statement

Given a number n, calculate the corresponding Tribonacci number. The Tribonacci sequence TnT_n is defined as:

T0=0, T1=1, T2=1T_0 = 0,\space T_1 = 1,\space T_2 = 1, and  Tn+3=Tn+Tn+1+Tn+2, \space T_{n+3} = T_n + T_{n+1} + T_{n+2},\space for n>=0n >= 0

The input number, n, is a non-negative integer.

Constraints:

  • 00 \leq n 37\leq 37
  • The answer is guaranteed to fit within a 32-bit integer, i.e., answer 2311\leq 2 ^{31} - 1