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ANSWERS to Puzzle Contest # 4

1.     Another crossing problem: Three knights and their three squires need to cross the river. They have a boat that can carry only two people. The squires refuse to be with another knight unless their own knight is with them. Can they cross the river?

 Solution:

         K1,S1, K2,K3   ->[S2,S3] 

         K1,S1, K2,K3       [S2] <-         S3

         K1,S1, K3         ->[K2, S2]       S3

         K1,S1, K3             [S3]<-          S2, K2

         K1,S1                 ->[K3,S3]       S2, K2

         K1, S1                <-[S3]             S2,K2, K3

         S3                       ->[K1,S1]       K2,S2, K3

         S3                      <- [K3]            K2,S2, K1,S1

                                         ->[K3,S3]       K1,S1,K2,S2

2.    Arrange numbers 1,1,2,2,3,3,4,4 in such an order that

-         There is one number between the 1s

-         There are two numbers between the 2s

-         There are three numbers between the 3s

-         There are four numbers between the 4s

             Solution:  41312432

3.    Connect the dots:

A.   Without lifting the pencil off the paper, connect 4 dots with three straight line segments, and return to the starting point.

B.   Without lifting the pencil off the paper, connect 6 dots with 4 straight line segments (but you do not have to return to the starting point.

C.   Without lifting the pencil off the paper, connect 16 dots using 6 straight segments, and return to the  starting point.

A)                                                                        B)

         C)