Each of the nine letters stands for one of the numbers 1 through 9, but no two letters stand for the same number. Using the clues, deduce the number represented by each letter.

In addition to completing the diagram, you must also provide an explanation for each step of your completion. When you determine that a letter represents a particular number, write a sentence or two explaining why that letter must represent that digit. You will receive no credit if a solution is submitted with no explanations.

1. A is an even digit, and when A and F are placed next to one another (AF), they forma perfect square.

2. One diagonal from top to bottom is three consecutive digits, in either ascending or
descending order.

3. One row from left to right is three consecutive even digits in ascending order.

4. D = G + A