Task 373
Task 373: test task in emrekuruu/math-openenv, an RL environment on the Hugging Face Hub. John counts up from 1 to 13, and then immediately counts down again to 1, and then back up to 13, and so on, alternately counting up and down: \begin{align } &(1, 2, 3,4,5,6,7,8,9,10,11,12,13,\\…
The task
John counts up from 1 to 13, and then immediately counts down again to 1, and then back up to 13, and so on, alternately counting up and down: \begin{align*} &(1, 2, 3,4,5,6,7,8,9,10,11,12,13,\\ &\qquad\qquad12,11,10,9,8,7,6,5,4,3,2,1,2,3,4,\ldots ). \end{align*} What is the $5000^{\text{th}}$ integer in his list?