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Write following program in Java following guide exatly!!!!! Background A Pythago

ID: 3751129 • Letter: W

Question

Write following program in Java following guide exatly!!!!!

Background A Pythagorean triplet is three positive whole numbers a, b, and c, such that a +bc. For example, (3, 4, 5) is a Pythagorean triplet, since 3 +4-5 In this project, we will refer to the sum of a Pythagorean triplet to mean the sum of those three numbers So if a bc,then its sum is a+b+c. So for the Pythagorean triplet (3, 4, 5), its sum is 3+4+5 12. Description You will write a Java program that will repeatedly find all Pythagorean triplets for a given sum, or find the sum that has the most Pythagorean triplets. Here is a sample run of the program (user input is in red):

Explanation / Answer

ANSWER :

import java.io.BufferedReader;

import java.io.IOException;

import java.io.InputStreamReader;

public class Proj3

{

public static void main(String[] args) throws IOException

{

int sum=0,a,b,i,j,k;

System.out.println("Choose an option below : 1)Find all the pythogorean triplets for a given sum 2)Find the sum that has the maximum pythogorean triplets 3)Quit ");

BufferedReader br = new BufferedReader(new InputStreamReader(System.in));

int option = Integer.parseInt(br.readLine());

while (option!=3)

{

if(option ==1)

{

int flag =0;

int sumcheck=0;

System.out.println("Enter the sum ");

sum=Integer.parseInt(br.readLine());

for(i=1;i<sum/2;i++)

{

for(j=1;j<sum/2;j++)

{

sumcheck=(i*i)+(j*j);

for(k=1;k<sum/2;k++)

{

  

if (sumcheck==(k*k))

{

if((i+j+k)==sum)

{

flag++;

}

}

}

}

}

if(flag>1)

{

flag=flag/2;

}

System.out.println("Total number of solution is :"+flag);

  

  

}

if(option == 2)

{

int max_count=0;

int max_no=0;

int temp_count=0;

int temp_no=0;

int flag =0;

int temp_number=0;

int sumcheck;

System.out.println("ENter the bound ");

sum=Integer.parseInt(br.readLine());

for(i=1;i<sum/2;i++)

{

for(j=1;j<sum/2;j++)

{

sumcheck=(i*i)+(j*j);

for(k=1;k<sum/2;k++)

{

  

if (sumcheck==(k*k))

{

int sum1=i+j+k;

temp_count=0;

temp_number=sum1;

for(int temp_i=1;temp_i<sum/2;temp_i++)

{

for(int temp_j=1;temp_j<sum/2;temp_j++)

{

int temp_sumcheck=(temp_i*temp_i)+(temp_j*temp_j);

for(int temp_k=1; temp_k<sum/2; temp_k++)

{

if(i!=temp_i && j!=temp_j&& k!=temp_k)

{

if(temp_sumcheck==temp_k*temp_k)

{

if(sum1==(temp_k+temp_j+temp_i))

{

System.out.println(sum1);

temp_count++;

}

}

}

}

}

}

  

}

if (temp_count>max_count)

{

max_count=temp_count;

max_no=temp_number;

}

}

}

}

if (max_count !=0)

{

  

System.out.println("Best solution sum is ="+max_no+" with "+max_count+"different solution.");

}

  

}

if(option>2)

{

System.out.println("Wrong entry");

}

System.out.println("Choose an option below : 1)Find all the pythogorean triplets for a given sum 2)Find the sum that has the maximum pythogorean triplets 3)Quit ");

option = Integer.parseInt(br.readLine());

}

}

}

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