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Retsurin (1225)
Instruction:
Draw a single closed loop that passes orthogonally through centers of some empty cells in the grid. The loop connects centers of orthogonally adjacent cells, makes only right-angle turns or goes straight, and does not intersect or cross itself.
Some cells will remain empty; such cells are "unused" and cannot share an edge with each other.
The grid contains some outlined gray cells that the loop cannot pass through. A number in a gray cell indicates either the number of unused cells in the same row as the gray cell, or the number of unused cells in the same column as the gray cell, but not both (that is, the other number cannot match the provided number).