## Task 3 - 130523

The natural numbers from 1 to 12, each exactly in one of the fields $A, B, C, D, E, F, G, H, K, M, N, P$ of the figure, should be entered such that the sum of the numbers in the fields $A, B, C, D$ is 22, as well as the sum of the numbers in the fields $D, E, F, G$, the sum of the numbers in the fields $G, H, K, M$, and the sum of the numbers in the fields $M, N, P, A$.

a) Provide one such entry of numbers!

b) Investigate which numbers stand in the fields $A, D, G$ and $M$ in every such entry!

![](https://cdn.mathpix.com/cropped/2024_06_06_b85a894aa8dbf722a7b3g-0063.jpg?height=454&width=463&top_left_y=1572&top_left_x=1296)