mathematics - 9sums - a logical deduction puzzle

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?

Answer

 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