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Snowball Fight Strategy (February '25 Challenge Question)

Posted January 31, 2025 12:00 AM
Pathfinder Tags: challenge question

A square snow fort contains 40 children.There are 3 defensive positions along each fort wall (8 total).

They have vowed to defend their fort against the adults in a snow ball fight. Once someone is hit with a snowball, they are out of the game.

The fort's leader has determined the best defense requires 11 children along each wall. He organizes the children into the formation pictured.

How do they maintain 11 defenders along each wall side, as the fort's garrison dwindles with each snow ball assault, when there are...

  • 36 children left?
  • 32 children left?
  • 28 children left?
  • 24 children left?
  • 22 children left?

Answer: Feb. 21, 2025

40: 1, 9, 1

36: 2, 7, 2

32: 3, 5, 3

28: 4, 3, 4

24: 5, 1, 5

22: Top and bottom: 6, 0, 5; Left and right: 5, 0, 6

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#1

Re: Snowball Fight Strategy (February '25 Challenge Question)

01/31/2025 6:43 AM

Love my "note" phone:

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#3
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Re: Snowball Fight Strategy (February '25 Challenge Question)

02/21/2025 10:35 AM

well done!

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#2

Re: Snowball Fight Strategy (February '25 Challenge Question)

01/31/2025 9:39 AM

The children on the corners guard 2 sides while the children on the sides guard 1 side. To still have 11 on each side as the children are killed off, for each casualty, you need to move a child from a side to a corner.

40: Each side is 1 9 1

36: Each side is 2 7 2

32: Each side is 3 5 3

28: Each side is 4 3 4

24: Each side is 5 1 5

22: North and South sides: 6 0 5, east and west sides: 5 0 6

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