28 October 2017

561. Pathway with 7 matchsticks revisited

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This puzzle is similar to but different from Number 492.

7 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 2 matchsticks it can be achieved. How would you do this?

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Change the directions of matchsticks 1 and 5. The pathway is then from matchstick 1 to 7.

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