# Count the ordered pairs again-2

Find number of ordered pairs $$(x,y)$$ of non negative integers such that $$x^2+3y$$ and $$y^2+3x$$ are simultaneously perfect squares.

$$\bullet$$Enter $$777$$ as answer if there are infinte number of ordered pairs.

$$\bullet$$ Ordered pair means $$(11,12$$ and $$(12,11)$$ are considered different.

#### This is a part of Number Theory Plus

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