CSP - Cyclic Shift Puzzle

This is a puzzle game that is similar to the family of "sliding block/tile puzzles".
The user slides tiles vertically or horizontally to sort numbers.
The goal of the game is to arrange numbers sequentially from the top-left to the bottom-right, like the 15-puzzle.

The tile pushed out from an edge of the game board is pushed in from the opposite edge.
The movement is similar to "Cyclic Shift" / "Circular Shift" / "Rotate" known as a machine instruction.

Counts of row and column are selected from 2 to 9.
Counts of shuffle are selected from 0 to 99.

The shuffle action is implemented as a vertical or horizontal cyclic shift.
It is reversible. Thus any tile placement after shuffles can be solved.

When the board size and shuffle counts are large, the puzzle becomes difficult.
Please try it with small values at first.