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The function $f(x,y)$ satisfies the Laplace equation $$\bigtriangledown^{2}f(x,y) = 0$$

on a circular domain of radius $r=1$ with its center at point $P$ with coordinates

$x=0, y=0.$ The value of this function on the circular boundary of this domain

is equal to $3.$

The numerical value of $f(0,0)$ is:

- $0$
- $2$
- $3$
- $1$