Vector norm and distance between vectors

We have a set of vectors $(\vec{x}_{1}, \vec{x}_{2}, \vec{x}_{3}, \vec{x}_{4})$ with coordinates in the Cartesian coordinate system.

$\vec{x}_{1}=(1, 2, 3, 4)\\ \vec{x}_{2}=(3, 2, 2, 1)\\ \vec{x}_{3}=(3, 0, 3, 2)\\ \vec{x}_{4}=(4, 4, 0, 0)$

Find vectors with a maximal and a minimal Euclidean norm within the set. Put the indices of the corresponding vectors as an output, where first comes a vector with the greatest norm.

You should enter two indices separated by space. For example, if the norm of $\vec{x}_{1}$ is the largest and the norm of $\vec{x}_{2}$ is the smallest, then enter 1 2 as your answer.