This is an ongoing Jane Street puzzle. You can submit the original solution here https://www.janestreet.com/puzzles/current-puzzle/
For the cognitive metrics answers, we will ask a slightly different thing to protect the answer for this month.
Problem statement:
"Place positive integers in some of the cells above, so that the grid contains one 1, two 2’s, three 3’s, and so on, up to N N’s. (For some N.)
For any integer K in the grid, the cells labeled K must form an orthogonally connected region (a “K-omino”). Furthermore, for each K > 1 the K-omino must “contain” the shape formed by the (K−1)’s. (Rotations and reflections are allowed.)
Some of the cells have been labeled, but unlike our previous Subtiles, we have used variables to obscure those values. (As in the example, at the bottom...
