Write a program to find the product of abc if there exists exactly one Pythagorean triple for which a + b + c = 1000. Hint: A Pythagorean triple is a set of three positive numbers, a < b < c, for which, a^2 + b^2 = c^2. For example, 3^2 + 4^2 = 5^2
Updated: Aug. 15, 2022 — Training Time: 1 Minute
Overseen by: Archangel Macsika
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Topic: Generic - Java Programming
Difficulty: Easy.
Companies who previously asked this: -.
Objective: Write a program to find the product of a Pythagorean triple 'abc' if there exists exactly one Pythagorean triple for which a + b + c = 1000. Hint: A Pythagorean triple is a set of three positive integers, a < b < c, for which, a2 + b2 = c2. For example,
32 + 42 = 52
9 + 16 = 25.
Input: None.
Expected Output: Find out.
Sikademy Solution
package sikademy;
/**
*
* @author Archangel Macsika
*/
import java.util.logging.Logger;
// This class finds the value of abc.
public class PythagoreanTriplets {
private static final Logger LOG = Logger.getLogger(ProductOfFiveDigits.class.getName());
public static void main(String[] args) {
LOG.info("Into main");
int a = 0;
int b = 0;
int c = 0;
int sum = 1000;
boolean solved = false;
for(a=1; a<500 && !solved; a++){
for(b=1; b < 500 && !solved; b++){
c = sum - a - b;
if((a * a) + (b * b) == c * c){
solved = true;
LOG.info("The numbers are " + a + " " + b + " " + c + " " + " and the product is : " + (a * b * c));
}
}
}
}
}