Complex Problems

Nineteen Numbers Net ★★

The figure shown below has nineteen circles that have to be filled with the numbers 1 up to (and including) 19. These numbers have to be placed in such a way that all numbers on any horizontal row and any diagonal line add up to the same sum.

Puzzle

Warning: there are many horizontal and diagonal lines, which have a different number of circles (3, 4, or 5), nevertheless all these sums have to be equal!

The question: How should the nineteen numbers be placed in the net?

The solution: Click here!