# Pell's Enormous Equation!

**Computer Science**Level 5

\[\large{x^2-6829y^2=1}\]

Find the pair of positive integers \((x, y)\) satisfying the equation above, such that \(x+y\) is minimized. Enter your answer as \(\left(x + y\right) \bmod { 10000}\).

\[\large{x^2-6829y^2=1}\]

Find the pair of positive integers \((x, y)\) satisfying the equation above, such that \(x+y\) is minimized. Enter your answer as \(\left(x + y\right) \bmod { 10000}\).

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