Hello. Here is a puzzle that could interest YOU!

A 4x4 grid contains letters from A-I.

Each of those letters represents only 1 number of 9 (1-9).

Each number can only be represented by 1 letter.

At the end of each column and row is the sum of the numbers that are represented by the letters in those columns or rows.

It is your job to decipher which letters represent which numbers.

Here's an example puzzle:

Here's the/an answer to the above puzzle:

Here's another one for you to do/post the answer for:

Now, here's what I really want to know; can anyone come up with a logical way of solving one of these puzzles? I'm trying to program Microsoft Excel to solve it for me (to pair with the random puzzle generator I've programmed) but the only way I can think of is to look through all of the 9*8*7*6*5*4*3*2 combinations of letter to number representations and identifying which combination/s (could be multiple) would fit for any puzzle (something that Excel does not have the capacity to handle).

Something you may need to know is that all the letters must be present on the grid in any puzzle and the remaining 7 squares are filled with random letters (which are also randomly located amongst the 16).

-Much obliged. I hope you enjoy thinking about

this. I will seriously be impressed if somebody thinks of a method of solving any puzzle.