Python Program to Find All Pythagorean Triplets in the Range

This is a Python Program to determine all Pythagorean triplets till the upper limit.

Problem Description

The program takes a upper limit and determines all Pythagorean triplets till the upper limit.

Problem Solution

1. Take in the upper limit and store it in a variable.
2. Using a while loop and for loop, compute the Pythagorean triplets using the formula.
3. If the value of the c is greater than the upper limit or if any of the numbers is equal to 0, break from the loop.
4. Print all the three numbers of the Pythagorean triplets.
5. Exit.

Program/Source Code

Here is source code of the Python Program to determine all Pythagorean triplets till the upper limit. The program output is also shown below.

limit=int(input("Enter upper limit:"))
c=0
m=2
while(c<limit):
    for n in range(1,m+1):
        a=m*m-n*n
        b=2*m*n
        c=m*m+n*n
        if(c>limit):
            break
        if(a==0 or b==0 or c==0):
            break
        print(a,b,c)
    m=m+1
Program Explanation

1. User must enter the upper limit and store it in a variable.
2. The while and for loop is used to find the value of the Pythagorean triplets using the formula.
3. If the value of a side is greater than the upper limit or if any of the side is 0, the loop is broken out of.
4. Then the triplets are printed.

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Runtime Test Cases
 
Case 1:
Enter upper limit:20
3 4 5
8 6 10
5 12 13
15 8 17
12 16 20 
 
Case 2:
Enter upper limit:35
3 4 5
8 6 10
5 12 13
15 8 17
12 16 20
7 24 25
24 10 26
21 20 29
16 30 34

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Manish Bhojasia - Founder & CTO at Sanfoundry
Manish Bhojasia, a technology veteran with 20+ years @ Cisco & Wipro, is Founder and CTO at Sanfoundry. He lives in Bangalore, and focuses on development of Linux Kernel, SAN Technologies, Advanced C, Data Structures & Alogrithms. Stay connected with him at LinkedIn.

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