24 December 2013

114. Forming 5 groups with 3 matchsticks in each group.

Easy Medium Hard Extreme

Shown here is one row with 15 matchsticks. The challenge is to create 5 groups with 3 sticks in each group. A group is formed by placing the 3 sticks vertically above each other by jumping over 3 other sticks.

For example: Take stick 4, jump to the right over 5, 6 and 7 and place it vertically above stick 8. Now take stick 12 and jump to the left over 11, 10 and 9 and also place it above stick 8. (above stick 4 you just moved) One group of 3 sticks has now been formed. Continue to form 4 more groups. Remember the following:
(1) You can jump to the left or right.
(2) Always jump over 3 sticks.
(3) Sticks already placed must also be counted when jumping.

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There are many solutions, but one solution would be to do the following in sequence:
5 above 1
6 above 1
9 above 3
10 above 3
8 above 14
7 above 14
4 above 2
11 above 2
13 above 15
12 above 15

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