\begin{algorithmic}
\REQUIRE $g(x_0,y_0,z_0)\leq 0$, $(x_0,y_0,z_0) = (10, 10 ,10)$
\ENSURE $\min_{(x,y,z) \in \mathbb{R}^3} J(x,y,z) = x^2 + y^2 + z^2 -r^2$ and \newline $g(x,y,z) = (g_1(x,y,z), g_2(x,y,z)) = (x^2 + y^2 - r_1^2, x^2 + z^2 -r_2^2) \leq 0 $
\begin{algorithmic}
\REQUIRE $g(x_0,y_0,z_0)\leq 0$, $(x_0,y_0,z_0) = (10, 10 ,10)$
\ENSURE $\min_{(x,y,z) \in \mathbb{R}^3} J(x,y,z) = x^2 + y^2 + z^2 -r^2$ and \newline $g(x,y,z) = (g_1(x,y,z), g_2(x,y,z)) = (x^2 + y^2 - r_1^2, x^2 + z^2 -r_2^2) \leq 0 $