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Ferrying 358 soldiers using two children and a boat

Question

A troop of 358358 soldiers must cross a river. The only boat belongs to two children and can carry either both children or a single adult. How many one-way crossings are needed to get every soldier across, finishing with both children together with the boat?

Short answer

14321432. A four-crossing cycle moves one soldier: both children cross, one returns, a soldier crosses, the other child returns. This leaves the children and boat back where they started, so 358358 soldiers need 358×4=1432358\times4=1432 crossings.

Adapted from QuantQuestions.io; question and answer rewritten by SelfMadeQuant.com.

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