# Mind Blowing!

$973x-1234y=2015$

If ($$x$$,$$y$$) is the least positive integral solution of the equation above then find the number of digits in $$x^{y}$$.

Details and Assumptions:

• $$\log _{ 10 }{ 3 } =0.4771212547197...$$

• $$\log _{ 10 }{ 131 } =2.117271295656...$$

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