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Missionaries and Cannibals (Posted on 2005-05-29) Difficulty: 3 of 5
Three missionaries and three cannibals are on one side of the river, wanting to get across.

Unfortunately, the only boat available can hold a maximum of two people. The missionaries, wanting to stay safe, can never be on a side with more cannibals than missionaries (even for a moment!). The boat cannot travel under its own power, so there must be at least one person on board for it to cross.

How can the missionaries get safely across?

See The Solution Submitted by Damion warren    
Rating: 3.0000 (8 votes)

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Solution Puzzle Solution Comment 13 of 13 |
Let us denote the three missionaries m1, m2, and m3 and, the three cannibals are represented  by c1, c2, and c3
Then, the following set of proceedures  will guarantee that all the three missionaries will safely get across.

THIS SIDE                            ACTION                                            OTHER SIDE        
 m1,m2,m3,                      m1 and c1 rows across                           ------
c1,c2, and c3

m2,m3,c2,c3                   c1 rows back                                               m1
m2,m3,c3                        c1 and c2 row  across                                m1
m2,m3,c3                         c2 rows back                                           m1,c1
m3,c3                               m2 and c2 row across                            m1,c1
m3,c3                                c2 rows back                                           m1,m2,c1
c3                                     m3,c2 row across                                     m1,m2,c1
c3                                      c2 rows back                                            m1,m2,m3,c1
---                                       c2,c3 row across                                     m1,m2,m3,c1
---                                            ------                                                 m1,m2,m3,c1,c2,c3

Edited on February 26, 2022, 11:35 pm

Edited on February 27, 2022, 6:20 am
  Posted by K Sengupta on 2022-02-26 23:35:06

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