One law rules every line. Put the sheet back in rule.
How to play
The sheet was dealt a few touches away from a hidden law that is meant to hold for every row and every column. Your job is to put it back in rule.
Touch a cell to ink it or clear it: that changes its row and its column at once. Under the sheet is the count: in green, the lines in rule; in grey, the ones that break the law. It never says which.
While you play, every law it could be is a key under the sheet. A law that cannot explain the counts you have seen is struck out; when one is left it turns green: that is the law. Naming the right one is free, naming a wrong one costs a touch.
The touches are counted at the top. You win when no line breaks the law; you lose when the touches run out.