Krdytkyu

Each set of minuses contains an integer in the range [1,5]. The given numbers are the sum of the surrounding 4 numbers.

---    ---    ---    ---

    13     14     11

---    ---    ---    ---

    11     10     13

---    ---    ---    ---

    11      9     14

---    ---    ---    ---

Can you solve the grid?

 2      5      3      1

    13     14     11

 3      3      3      4

    11     10     13

 4      1      3      3

    11      9     14

 5      1      4      4

 

My answer:

Not sure how to format this, but from left to right, then top to bottom, the numbers would be:

2, 5, 5, 1

5, 1, 3, 2

2, 3, 3, 5

5, 1, 2, 4

Its has many solutons, just need to start somewhere

3      3      3       1

   13     14    11

2      5      3       4

   11     10     13

2      1      1       5

   11     9     14

5      3      4       4

Also this grid is a solution :


2 4 5 2

3 4 1 3

3 1 4 5

4 3 1 4

This was fun!

For my solution, I started in the four corners and worked my way inwards, ignoring the 1-5 constraint. When I had completed the grid without constraints, I again started in the corners to adjust numbers to fit the constraints until all constraints were satisfied.

-3-    -4-    -4-    -1-

    13     14     11

-1-    -5-    -1-    -5-

    11     10     13

-3-    -2-    -2-    -5-

    11      9     14

-5-    -1-    -4-    -3-

Here is my solution in excel:

!

! If you want to solve it by yourself, here is file 9sum.xlsx.