Problem 52921. Easy Sequences 40: Quadratic Congruence
Quadratic Congruence is a modular equation of the form: .
In this exercise you will be given a vector containing the coefficients of a quadratic polynomial (), and a modulus base (m). Using these data, create a function that outputs the pair (), which are the 'primitive' solutions to the quadratic congruence.
For example consider the congruence: , the solution is , since:
, and
.
NOTE: A primitive modulus to base m, can only have values from 0 to . This is a simplified problem, in which the quadratic polynomials given in the test suite, are all factorable, and the modulus base are all odd primes.
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