The generalized Pell equation is of the form:
. Given D and N as inputs, output the first 50 positive integer solutions [x, y] sorted by x (smallest to largest). Both outputs should be a cell array of character arrays containing the integer solutions.
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Using a combination of a so-called 'brute-force' algorithm and the general solution to the Pell-equation (see e.g. a nice paper by Robertson), I get much more solutions with small positive x than seem to be considered by the creator of the problem. The assigned 20-th solution of case 1 is my 30-th solution. Please rework the problem.