# Evaluate (2005int_(0)^(1002)dx(sqrt(1002^(2)-x^(2))+sqrt(1003^(2)-x^(2)))+int_(1002)^(1003)sqrt(1003^(32)-x^(2))dx)/(int_(0)^(1)sqrt(1-x^(2))dx)=k,

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Evaluate
(2005int_(0)^(1002)dx(sqrt(1002^(2)-x^(2))+sqrt(1003^(2)-x^(2)))+int_(1002)^(1003)sqrt(1003^(32)-x^(2))dx)/(int_(0)^(1)sqrt(1-x^(2))dx)=k, then find the sum of squares of digits of natural number k.

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