09 September 2017

547. Pathway with 14 matchsticks

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This puzzle is similar to numbers 492 and 502.

14 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 7 matchsticks only once.

A solution is not possible in the existing figure above, but by changing the direction of only 1 matchstick it can be achieved. Which matchstick would you change and can you find the pathway?

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The direction of matchstick 3 is changed.

One pathway is to start with matchstick 1 and end with matchstick 14.

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