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N-th Tribonacci Number

Understand how to calculate the Nth Tribonacci number by mastering dynamic programming approaches such as memoization and tabulation. This lesson helps you implement and optimize solutions for this sequence problem under typical coding interview constraints.

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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:

  • 0≤0 \leq n ≤37\leq 37
  • The answer is guaranteed to fit within a 32-bit integer, i.e., answer ≤231−1\leq 2 ^{31} - 1

Examples

Understand the problem

Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

N-th Tribonacci Number

1.

What is the 5th Tribonacci number?

A.

5

B.

7

C.

15

D.

4

1 / 3

Figure it out!

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Sequence - Vertical
Drag and drop the cards to rearrange them in the correct sequence.
1
2
3

Try it yourself

Implement your solution in the following coding playground:

Java
usercode > Main.java
import java.util.*;



public class Main{

    public static int findTribonacci(int n) {



        // Replace this placeholder return statement with your code

    

        return -1;

    }

}
Nth Tribonacci Number