Description
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.
