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Topic: Ant on a grid (Read 1296 times) |
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Altamira_64
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An ant is walking on a grid like in the attached shape and wants to go from A to B. How many different routes can it follow, but with exactly the same distance?
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rmsgrey
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Re: Ant on a grid
« Reply #1 on: Feb 4th, 2013, 5:12am » |
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Assuming: it follows the lines and requires the shortest distance
There are: 56 ways
Changing the assumptions may change the answer
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Altamira_64
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Re: Ant on a grid
« Reply #2 on: Feb 4th, 2013, 7:23am » |
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Indeed it follow the lines and the distance should always be the same, i.e. 8a, where a is the side of the rectangle (yes, they are rectangles, although it is not clearly shown on the shape!).
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Grimbal
wu::riddles Moderator
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Re: Ant on a grid
« Reply #3 on: Feb 4th, 2013, 9:29am » |
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Actually, it doesn't matter what the proportion is. Or even whether the spacing is uneven. The result remains the same.
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rmsgrey
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Re: Ant on a grid
« Reply #4 on: Feb 5th, 2013, 4:36am » |
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on Feb 4th, 2013, 9:29am, Grimbal wrote:Actually, it doesn't matter what the proportion is. Or even whether the spacing is uneven. The result remains the same.
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It's sufficient, though not necessary that the lines that look parallel are both straight and parallel.
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