A - B - C / \ / \ D E F G / \ / \ H - I - J - K - L \ / \ / M N O P \ / \ / Q - R - S | Place the numbers 1-19 in the hexagon, such that each of the 12 lines of three numbers have the same sum. What are the lowest and highest possible common sums? (Or is this possible?) |

Source: Original. Based on a puzzle from Sudipta Das.

Solution

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