Henry Ernest Dudeney/Modern Puzzles/159 - The Five Regiments/Solution
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Modern Puzzles by Henry Ernest Dudeney: $159$
- The Five Regiments
- The diagram represents a map of a certain district.
- The dots and circles are towns and the lines are roads.
- During a war five regiments marched to new positions in the night.
- The body stationed at the upper $A$ marched to the lower $A$,
- that at the upper $B$ to the lower $B$,
- that at the upper $C$ to the lower $C$,
- that at the upper $D$ to the lower $D$,
- and the regiment at the left-hand $E$ marched to the right-hand $E$.
- Yet no regiment saw anything of any other regiment.
- Can you mark out the route taken by each so that no two regiments ever go along the same road anywhere?
Solution
Also see
- Henry Ernest Dudeney: Puzzles and Curious Problems $270$ - Planning Tours: exactly the same puzzle as this, couched in a different scenario.
Sources
- 1926: Henry Ernest Dudeney: Modern Puzzles ... (previous) ... (next): Solutions: $159$. -- The Five Regiments