Three Missionaries and Three Cannibals

Three missionaries and three cannibals want to get to the other side of a river. There is a small boat, which can fit only two. To prevent a tragedy, there can never be more cannibals than missionaries together.

How can all the cannibals and missionaries cross the river safely ?


Let M = Missionary and C = Cannibal.

This is how they cross the river:

  1. M,C →
  2. ← M
  3. C,C →
  4. ← C
  5. M,M →
  6. ← M,C
  7. M,M →

Now, there are 3 missionaries and 1 cannibal on the other side of the river. This cannibal can fetch the other 2 cannibals one by one.

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