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Diophantine Equation
In mathematics, a Diophantine equation is a polynomial equation, usually with two or more unknowns, such that only the integer solutions are sought or studied.
In this kata we want to find all integers x, y (x >= 0, y >= 0)
solutions of a diophantine equation of the form:
x2 - 4 * y2 = n
(where the unknowns are x and y, and n is a given positive number)
in decreasing order of the positive xi.
If there is no solution return [] or "[]" or "". (See “RUN SAMPLE
TESTS” for examples of returns).
Examples:
solEquaStr(90005) --> "[[45003, 22501], [9003, 4499], [981, 467], [309, 37]]"
solEquaStr(90002) --> "[]"
Hint:
x2 - 4 * y2 = (x - 2*y) * (x + 2*y)