## KenKen Puzzle: Example
### Overview
The image shows a completed KenKen puzzle, a mathematical and logical puzzle similar to Sudoku. The grid is 5x5, and each cage (group of cells) is marked with a target number and an operation. The goal is to fill the grid with numbers 1-5 such that each row and column contains each number exactly once, and the numbers within each cage combine to produce the target number using the specified operation.
### Components/Axes
* **Grid:** 5x5 grid of cells.
* **Cages:** Groups of cells marked with a target number and an operation (+, -, x, /).
* **Numbers:** Each cell contains a number from 1 to 5.
* **Operations:** Addition (+), Subtraction (-), Multiplication (x), Division (/).
### Detailed Analysis
The grid is filled with numbers 1 through 5. Each row and column contains each number exactly once. The cages are as follows:
* **Top-left:** "5+" cage, consisting of two cells with values 2 and 3. 2 + 3 = 5.
* **Top-middle:** "15x" cage, consisting of two cells with values 3 and 5. 3 x 5 = 15.
* **Top-right:** "7+" cage, consisting of two cells with values 2 and 5. 2 + 5 = 7.
* **Top-right:** "10+" cage, consisting of one cell.
* **Second row, left:** "2-" cage, consisting of two cells with values 1 and 3. |1 - 3| = 2.
* **Third row, left:** "2-" cage, consisting of two cells.
* **Third row, middle:** "2+" cage, consisting of two cells with values 2 and 4. 2 + 4 = 6.
* **Third row, right:** "3-" cage, consisting of two cells with values 1 and 4. |1 - 4| = 3.
* **Fourth row, left:** "40x" cage, consisting of two cells with values 5 and 2. 5 x 2 = 10.
* **Fourth row, middle:** "2x" cage, consisting of two cells with values 2 and 4. 2 x 4 = 8.
* **Bottom row, right:** "2-" cage, consisting of two cells with values 3 and 5. |3 - 5| = 2.
The specific values in each cell are:
| | Col 1 | Col 2 | Col 3 | Col 4 | Col 5 |
| :---- | :---- | :---- | :---- | :---- | :---- |
| Row 1 | 2 | 3 | 3 | 5 | 2 |
| Row 2 | 1 | 3 | 5 | 2 | 5 |
| Row 3 | 2 | 2 | 4 | 1 | 4 |
| Row 4 | 5 | 5 | 2 | 4 | 1 |
| Row 5 | 2 | 4 | 1 | 3 | 5 |
### Key Observations
* Each row and column contains the numbers 1 through 5 exactly once.
* The numbers within each cage satisfy the target number and operation.
### Interpretation
The image demonstrates a correctly solved KenKen puzzle. The solution adheres to the rules of the puzzle, ensuring that each row and column contains unique numbers and that the cage constraints are satisfied. This puzzle showcases a combination of logical deduction and arithmetic skills.
