26 March 2017

502. Pathway with 19 matchsticks

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19 matchsticks are used to form a pathway as shown above. The challenge is to start at a point, move in the direction of the matchstick heads and visit each of the 19 matchsticks only once.

A solution is not possible in the existing figure above, but by changing the direction of 2 matchsticks it can be achieved. Which 2 matchsticks would you change and can you find the route?

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The direction of matchsticks 5 and 14 are changed.

The path starts with matchstick 1 and ends with matchstick 19.

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