Floating Fish

Below toothpicks/matchsticks indicate the group of fishes moving from west to east direction. Can you make them move from east to west by just moving three toothpicks/matchsticks?


Floating Fish




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A bag contains 64 balls of eight different colours. There are eight of each colour (including red). What is the least number you would have to pick, without looking, to be sure of selecting 3 red balls?

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A number with an interesting property:

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When I divide it by 3, the remainder is 2.
When I divide it by 4, the remainder is 3.
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When I divide it by 6, the remainder is 5.
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When I looked for a smaller number with this property I couldn't find one.

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Question: how can we do this?

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There is a cryptic organization called Cicada 3301 that posts challenging puzzles online, possibly to recruit codebreakers and linguists.