Every number is how many steps it is to the nearest well. Seven boards, each measurably harder than the last.
Your line
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Every number is how many steps it is to the nearest well.
A well is a hole, not a number, and it is drawn — some are printed for you and the rest are yours to find. Steps go up, down, left and right, never diagonally. Tap a blank square, then tap a digit or the well key.
A board's depth is how many of its squares cannot be found without the hardest inference in the game.
Measured by the same solver that builds the puzzles, not guessed at — and every rung here is deeper than the one below it.
One run places you between two rungs. Run it again and it may land a rung either way.
Kept on this device. Nothing is sent anywhere and there is nobody to tell.