[Solved] Lab 9 Java Programming

1. Declare and implement a class named Pythagorean. The class will contain the following five methods:

getTriples(int n) prints all Pythagorean triples (a, b, c) such that a² + b² = c², 0 < a b c n.

getQuadruples(int n) prints all Pythagorean quadruples (a, b, c, d) such that a² + b² + c² = d², 0 < a b c d n.

getQuintuples(int n) prints all Pythagorean quintuples (a, b, c, d, e) such that a² + b² + c² +d² = e², 0 < a b c d e n.

getHextuples(int n) prints all Pythagorean hextuples (a, b, c, d, e, f) such that a² + b² + c² + d² + e² = f², 0 < a b c d e f n.

getSeptuples(int n) prints all Pythagorean septuples (a, b, c, d, e, f, g) such that a² + b² + c² + d² + e² + f² = g², 0 < a b c d e f g n.

For example, for n = 10. These methods will print

triples:

3, 4, 5

6, 8, 10

quadruples:

1, 2, 2, 3

1, 4, 8, 9

2, 3, 6, 7

2, 4, 4, 6

3, 6, 6, 9

4, 4, 7, 9

quintuples:

1, 1, 1, 1, 2

1, 1, 3, 5, 6

1, 1, 7, 7, 10

1, 2, 2, 4, 5

1, 3, 3, 9, 10

1, 4, 4, 4, 7

1, 5, 5, 7, 10

2, 2, 2, 2, 4

2, 2, 3, 8, 9

2, 2, 4, 5, 7

2, 4, 4, 8, 10

2, 4, 5, 6, 9

3, 3, 3, 3, 6

4, 4, 4, 4, 8

5, 5, 5, 5, 10

hextuples:

1, 1, 1, 2, 3, 4

1, 1, 1, 4, 9, 10

1, 1, 1, 5, 6, 8

1, 1, 2, 3, 7, 8

1, 1, 3, 3, 4, 6

1, 1, 3, 5, 8, 10

1, 2, 2, 2, 6, 7

1, 2, 2, 6, 6, 9

1, 2, 3, 5, 5, 8

1, 3, 3, 3, 6, 8

1, 3, 4, 5, 7, 10

2, 2, 2, 2, 3, 5

2, 2, 2, 4, 6, 8

2, 2, 3, 4, 4, 7

2, 3, 4, 4, 6, 9

3, 3, 3, 3, 8, 10

3, 4, 5, 5, 5, 10

4, 4, 4, 4, 6, 10

septuples:

1, 1, 1, 1, 1, 2, 3

1, 1, 1, 1, 3, 6, 7

1, 1, 1, 1, 4, 4, 6

1, 1, 1, 2, 2, 5, 6

1, 1, 1, 2, 3, 3, 5

1, 1, 1, 2, 5, 7, 9

1, 1, 1, 3, 4, 6, 8

1, 1, 1, 5, 6, 6, 10

1, 1, 2, 2, 3, 9, 10

1, 1, 2, 3, 3, 5, 7

1, 1, 2, 3, 6, 7, 10

1, 1, 2, 5, 5, 5, 9

1, 1, 3, 3, 4, 8, 10

1, 1, 3, 3, 5, 6, 9

1, 2, 2, 2, 2, 8, 9

1, 2, 2, 3, 3, 3, 6

1, 2, 3, 3, 3, 7, 9

1, 2, 3, 3, 4, 5, 8

1, 2, 3, 5, 5, 6, 10

1, 3, 3, 3, 6, 6, 10

1, 3, 3, 4, 4, 7, 10

1, 4, 4, 4, 4, 4, 9

2, 2, 2, 2, 2, 4, 6

2, 2, 2, 2, 4, 7, 9

2, 2, 2, 4, 6, 6, 10

2, 2, 3, 3, 5, 7, 10

2, 2, 4, 4, 4, 5, 9

2, 3, 3, 3, 3, 3, 7

2, 3, 3, 3, 5, 5, 9

3, 3, 3, 3, 3, 6, 9

3, 3, 4, 4, 5, 5, 10

Value n must be read from the user in the main method.