Here are two $5 \times 5$ Latin-Square Adjacent puzzles. For each cell, put a digit between $1$ and $5$ such that:
- Each row and column contains one occurrence of each digit $1$ to $5$.
- If two cells are adjacent and their digits are numerically adjacent (i.e. one higher or one lower), then there will be a (black) border between them.
- All borders are given, thus two cells that are adjacent and not having a border between them means their digits are not numerically adjacent.