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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.
Advantages of Algorithms:
- 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 Problem – Utopian 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
![Utopian Tree in Algorithm | HackerRank Programming Solutions | HackerRank Problem Solving Solutions in Java [💯Correct] 2 image 81](https://technorj.com/wp-content/uploads/2021/12/image-81.png)
Sample Input
3 0 1 4
Sample Output
1 2 7
Explanation
![Utopian Tree in Algorithm | HackerRank Programming Solutions | HackerRank Problem Solving Solutions in Java [💯Correct] 3 Utopian Tree in Algorithm | HackerRank Programming Solutions | HackerRank Problem Solving Solutions in Java [💯Correct]](https://technorj.com/wp-content/uploads/2021/12/image-82.png)
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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