# Utopian Tree in Algorithm | HackerRank Programming Solutions | HackerRank Problem Solving Solutions in Java [💯Correct]

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In this post, you will find the solution for Utopian Tree in Java-HackerRank Problem. We are providing the correct and tested solutions of coding problems present on HackerRank. If you are not able to solve any problem, then you can take help from our Blog/website.

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#### Introduction To Algorithm

The word Algorithm means “a process or set of rules to be followed in calculations or other problem-solving operations”. Therefore Algorithm refers to a set of rules/instructions that step-by-step define how a work is to be executed upon in order to get the expected results.

• It is easy to understand.
• Algorithm is a step-wise representation of a solution to a given problem.
• In Algorithm the problem is broken down into smaller pieces or steps hence, it is easier for the programmer to convert it into an actual program.

Link for the ProblemUtopian Tree – Hacker Rank Solution

`Utopian Tree – Hacker Rank Solution`

### Problem:

The Utopian Tree goes through 2 cycles of growth every year. Each spring, it doubles in height. Each summer, its height increases by 1 meter.

A Utopian Tree sapling with a height of 1 meter is planted at the onset of spring. How tall will the tree be after  growth cycles?

For example, if the number of growth cycles is , the calculations are as follows:

```Period  Height
0          1
1          2
2          3
3          6
4          7
5          14
```

Function Description

Complete the utopianTree function in the editor below.

utopianTree has the following parameter(s):

• int n: the number of growth cycles to simulate

Returns

• int: the height of the tree after the given number of cycles

Input Format

The first line contains an integer, , the number of test cases.
subsequent lines each contain an integer, , the number of cycles for that test case.

Constraints

Sample Input

```3
0
1
4
```

Sample Output

```1
2
7
```

Explanation

`Utopian Tree – Hacker Rank Solution`
```import java.util.Scanner;

/**
* @author Techno-RJ
*
*/
public class UtopianTree {

// Complete the utopianTree function below.
static int utopianTree(int n) {
return (1 << ((n >> 1) + 1)) - 1 << n % 2;
}

public static void main(String[] args) {
Scanner sc = new Scanner(System.in);
int T = sc.nextInt();
for (int i = 0; i < T; i++) {
int cycle = sc.nextInt();
System.out.println(utopianTree(cycle));

}
sc.close();
}
}```

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