N-th Tribonacci Number Solution - The Coding Shala
Hey there, welcome back to another post. In this post, we will learn how to solve the N-th Tribonacci Number problem and will implement its solution in Java.
N-th Tribonacci Number
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.
N-th Tribonacci Number Java Solution using Bottom-Up DP
This problem is similar to the Fibonacci series. We can solve it using the Bottom-Up approach of dynamic programming.
Time Complexity: O(n)
Space Complexity: O(n)
The space complexity can be reduced to O(1) by using variables to store the previous three values instead of using an array.
N-th Tribonacci Number Java Solution using Memoization
We can also solve this problem by using recursion and memoization or top-down dynamic programming.
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