1466: Pythagorean theorem
Time Limit: 1 Sec Memory Limit: 128 MBSubmit: 10 Solved: 3
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Description
The following figure is a figure and formula that represents the Pythagorean theorem.
Write a program that outputs the integers a, b, and c for all triangles that satisfy the Pythagorean theorem less than or equal the hypotenuse length, given the maximum length of the hypotenuse.
Write a program that outputs the integers a, b, and c for all triangles that satisfy the Pythagorean theorem less than or equal the hypotenuse length, given the maximum length of the hypotenuse.
Input
The maximum value (m) of the hypotenuse forming a right triangle is given as an integer (10 <= m <=500).
Output
The lengths of the three sides a, b, c (integers) of the triangle satisfying the Pythagorean theorem less than or equal to the hypotenuse of the maximum length are printed, one per line, as in the output example (note that a <= b<= c and the output order is in ascending order of a value, or in ascending order of b value when a values are the same, or in ascending order of c value when b values are the same).
Also, a combination of three pairs of the same values should be output only once. That is, if 3, 4, 5 is output, other combinations in that order, such as 4, 3, 5 or 5, 4, 3 should not be output.
Also, a combination of three pairs of the same values should be output only once. That is, if 3, 4, 5 is output, other combinations in that order, such as 4, 3, 5 or 5, 4, 3 should not be output.
Sample Input Copy
10
Sample Output Copy
3, 4, 5
6, 8, 10