A Simple Kenken Solver with descriptive visual GUI
Our project is a Kenken GUI that can solve kenken with any board size using three methods:
1- backtracking
2- backtracking with forward checking
3- backtracking with arc consistency.
When we open the GUI, we see two options. The user will specify the board size and the algorithm to solve the board with.
The Kenken board is represented by a square n-by-n grid of cells. The grid may contain between 1 and n boxes (cages) represented by a heavily outlined perimeter. Each cage will contain in superscript: the target digit value for the cage followed by a mathematical operator.
Each valid solution must follow the below rules:
- The only numbers you may write are 1 to N for a NxN size puzzle.
- A number cannot be repeated within the same row or column.
- In a one-cell cage, just write the target number in that cell.
- Each "cage" (region is colored a specific color) contains a "target number" and an arithmetic operation. You must fill that cage with numbers that produce the target number, using only the specified arithmetic operation. Numbers may be repeated within a cage, if necessary, as long as they do not repeat within a single row or column.
The below table represents the time performance of each algorithm, to solve different size puzzles each 100 times.
| Size | 2 | 3 | 4 | 5 | 6 | 7 | 8 |
|---|---|---|---|---|---|---|---|
| Backtracking | 2.9e-5s | 0.000143s | 0.0017s | 0.0130s | 0.0525s | 7.957s | 92.3s |
| Forward Checking | 2.42e-5s | 0.000109s | 0.000229s | 0.0005s | 0.0005s | 0.0009s | 0.0016s |
| Arc Consistency | 2.96e-5s | 0.000107s | 0.00286s | 0.0006s | 0.001198s | 0.002016s | 0.00323s |
This is an example of how to use the GUI.
- This is the front window in which the user specifies the board size as a single number and the algorithm used to solve the board.
- This is an example of 5x5 board generated
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