# River Crossing Puzzle: Three Cannibals and Three Anthropologists

Three cannibals and three anthropologists have to cross a river. The boat they have is only big enough for two people. If at any point in time there are more cannibals on one side of the river than anthropologists, the cannibals will eat them. The boat can’t cross the river by itself, someone has to be in it to row it across.

What plan can the anthropologists use for crossing the river so they don’t get eaten?

Note that if a boat with a cannibal and an anthropologist travels to a shore with one cannibal on it, then number of cannibals is greater than number of anthropologists, even if you say the anthropologist immediately takes the boat back.

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## Three Cannibals and Three Anthropologists Puzzle Answer

So initially there are **Three Cannibals** and **Three Anthropologists **all are on west coast of river. They are supposed to cross over river to reach east coast by boat.

**Step 1:**

1 **Cannibal** and 1** Anthropologist **cross over river and then **Anthropologist** comes back to west coast.

So now there are 2 **Cannibals **and **3 Anthropologists **left to cross river while 1 **Cannibal **is on other side of river.

**Step 2:**

2 **Cannibals **cross over river and then** 1 Cannibal **comes back to west coast.

So now there are 1 **Cannibals **and **3 Anthropologists **left to cross river while 2 **Cannibals **are on other side of river.

**Step 3:**

2 **Anthropologists **cross over river and then** 1 Cannibal and 1 Anthropologist **come back to west coast.

So now there are 2 **Cannibals **and 2** Anthropologists **left to cross river while **1 Cannibal and 1 Anthropologist**** **are on other side of river.

**Step 4:**

**2 Anthropologists **cross over river and then ** 1 Cannibal **come back to west coast.

So now there are 3 **Cannibals **** **left to cross river while 3** Anthropologists**** **are on other side of river.

**Step 5:**

2 **Cannibals **cross over river and then** 1 Cannibal **comes back to west coast.

So now there are 2 **Cannibals **** **left to cross river while 1 **Cannibal and 3 Anthropologists **are on other side of river.

**Step 6:**

Remaining 2 **Cannibals **cross over river. So now all **3 Cannibals** and **3 Anthropologists **have crossed the river.

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