Dennis C. Smolarski, S.J.'s Math 61, Homeans.MO Page

 
M-1)                           NOW
                              /   \
                            /       \
                          IS          THE
                        /            /  \
                      /            /      \
                   FOR      STUDENTS       TIME
                 / \           /   \          \
               /     \        /     \           \
            ALL    GOOD STRUCTURES  STUDY         TO
             \                                     \
               \                                     \
                DATA                                  WELL


M-2)           BEN
               / \
             /     \
          ABE       PETE
                      /
                    /
                   DAN
                    \
                      \
                       DON

N-1)  a)         B            b)      C           
                / \                  / \         
               /    \               /    \       
              D      A             A      F      
                      \           / \            
                       \         /   \          
                        C       B     E          
                       / \      /                 
                      /   \    /                 
                     E     F  D                   


     c)     A                            d)        A
           / \                                    / \
          /   \                                  /   \
         D     C                                B     F
          \    / \                             /     /
           \  /    \                          /     /
           B  E     F                        D     C
                                                  /
                                                 /
                                                E

N-2)       D			NOTE:  This is a trick tree!  FIRST,
          / \			rotate left at B, then rotate right at E.
        /     \     		If you just rotate right at E, the 
       B       E		resulting tree will also be unbalanced!
      / \       \
     /   \        \
    A     C        F

N-3)          D
            /   \  
           /      \
          B        E
           \        \
             \        \
              C        F

N-4)           D
              / \
             /    \
            B      E
             \
               \
                 C

O-1)   Threads should be: from D to B
                          from B to A
                          from F to C
                          from C to A

O-2)   Threads should be: from D to A
                          from D to B
                          from B to A
                          from E to A
                          from F to E
                          from F to C
                          from C to A