Task 807
Task 807: development task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. Let $z$ be a complex number such that \ z - 12 + z - 5i = 13.\ Find the smallest possible value of $ z .$
The task
Let $z$ be a complex number such that \[|z - 12| + |z - 5i| = 13.\]Find the smallest possible value of $|z|.$