Can you help the group of witсhes and inquisitors cross the river safely?

You are supposed to help this group get to the opposite bank safe and sound.

On the left side of the river are three witches and three inquisitors. They all want to be on the opposite bank. They have only one boat for crossing, which can accommodate no more than two people. The inquisitors know how to sail, but the witches do not.

You cannot leave more witches than inquisitors on one bank, otherwise the first will enchant the second. How to get everyone across the river?

The detailed answer For the first crossing, an inquisitor and a witch are the only suitable options. Let’s start crossing! The inquisitor and the witch float from the left bank of the river to the right.

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Now you need to go back. The witch stays on the right bank because she does not know how to control the boat, the inquisitor sails to the left bank. It is impossible to send two inquisitors to the right bank, otherwise, there will be more witches on the left, and it is fraught with witchcraft. That means an inquisitor and a witch are again sent to the right bank. The inquisitor takes and drops off the lady, but he himself remains in the boat not to be exposed to the spell.

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The inquisitor returns alone to the left bank. After these crossings, there are one witch and three inquisitors on the left bank, two witches — on the right.

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Now you need to decide who will be the next travelers to the right bank: an inquisitor and a witch or two inquisitors. If the inquisitor and the witch float, the number of the latter on the right side of the river will always prevail. It will no longer be possible to safely transport the remaining inquisitors. So, we need to focus on a pair of «two inquisitors». Then on the right bank there will be an equal number of both.

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The boat must be returned. You cannot send one inquisitor to the left side, otherwise, the witches will remain in the majority. This means that the inquisitor and the witch are going on their way back.

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Now, for security reasons, two inquisitors are sent to the right side.

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Now only one inquisitor will sail to the left bank. Without leaving the boat, he takes one witch with him.

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One inquisitor sails to get the remaining witch and crosses the river with her.

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The whole group is finally on the right bank. Congratulations!

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