SE250:lab-7:mgha023

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> HELP

Commands:
QUIT -- exit the program
HELP -- display this message

ROTATE RIGHT -- right rotate on the selected node
ROTATE LEFT  -- left rotate on the selected node
BALANCE      -- make the tree have minimal height
SKEW         -- make the tree have maximal height

LEFT   -- move to the left child of the selected node
RIGHT  -- move to the right child of the selected node
PARENT -- move to the parent of the selected node
ROOT   -- move to the root of the tree

INSERT str -- add `str' to the tree if it is not present
MULTIPLE INSERT str
           -- add `str' to the tree (even if it is already present)
DELETE     -- delete the selected node
CLEAR TREE -- remove all nodes

AUTO DISPLAY ON
AUTO DISPLAY OFF
           -- turn on/off display of the tree before the > prompt
AUTO WRITE ON [file]
AUTO WRITE OFF
           -- turn on/off writing an image file of the tree before the > prompt
PRINT      -- print the elements of the tree, as a list
DISPLAY    -- display the structure of the tree
WRITE file -- create an image file showing the structure of the tree

Commands can be abbreviated; so "rr" is ROTATE RIGHT, etc.

one

> root

1 (*)
 2
   3
     4
       5
         6
           7

> right

1
 2 (*)
   3
     4
       5
         6
           7

> right

1
 2
   3 (*)
     4
       5
         6
           7

> parent

1 (*)
 2
   3
     4
       5
         6
           7

> root

1 (*)
 2
   3
     4
       5
         6
           7

> left

1
 2
   3
     4
       5
         6
           7

> right

Current node is not set
1
 2
   3
     4
       5
         6
           7

> root

1 (*)
 2
   3
     4
       5
         6
           7

> right

1
 2 (*)
   3
     4
       5
         6
           7

> right

1
 2
   3 (*)
     4
       5
         6
           7

> right

1
 2
   3
     4 (*)
       5
         6
           7

> right

1
 2
   3
     4
       5 (*)
         6
           7

> right

1
 2
   3
     4
       5
         6 (*)
           7

> right

1
 2
   3
     4
       5
         6
           7 (*)

> right

1
 2
   3
     4
       5
         6
           7

> left Current node is not set

1
 2
   3
     4
       5
         6
           7

> root

1 (*)
 2
   3
     4
       5
         6
           7


> right

1
 2 (*)
   3
     4
       5
         6
           7

> right

1
 2
   3 (*)
     4
       5
         6
           7

> right

1
 2
   3
     4 (*)
       5
         6
           7

> parent

1
 2 (*)
   3
     4
       5
         6
           7

> parent

1 (*)
 2
   3
     4
       5
         6
           7

> parent

1 (*)
 2
   3
     4
       5
         6
           7

two

> multiple insert 4 6 5 7 2 1 3

 4 6 5 7 2 1 3 (*) //did not work


> clear tree

> insert 4

4 (*)

> insert 6

4 (*)
  6

> insert 5

4 (*)
    5
  6

> insert 7

4 (*)
    5
  6
    7

> insert 2

  2
4 (*)
    5
  6
    7

> insert 1

    1
  2
4 (*)
    5
  6
    7

> insert 3

    1
  2
    3
4 (*)
    5
  6
    7

The way its facing is pretty odd but if thats the way it has ot be then thats the way it has to be:P

Ok, inserting in the order 4213657 also gives the same tree

H:\ec250\lab7>gcc *.c -o lab-7 && .\lab-7.exe

> insert 4

4 (*)

> insert 2

  2
4 (*)

> insert 1

    1
  2
4 (*)

> insert 3

    1
  2
    3
4 (*)

> insert 6

    1
  2
    3
4 (*)
  6

> insert 5

    1
  2
    3
4 (*)
    5
  6

> insert 7

    1
  2
    3
4 (*)
    5
  6
    7
  • The other combinations that works are :4261357, 4627153, 4623157, 4621735...yeah, there seem to be more...so ill stop here.

three

    1
  2
    3
4 (*)
    5
  6
    7

> print

Tree[1,2,3,*4*,5,6,7]

> skew

1 (*)
  2
    3
      4
        5
          6
            7

> print

Tree[*1*,2,3,4,5,6,7]

> rl //rotate left

  1 (*)
2
  3
    4
      5
        6
          7

>root

 1 
2(*)
  3
    4
      5
        6
          7

> print

Tree[1,*2*,3,4,5,6,7]

four

   3
     4
       5
         6
           7

> print Tree[*1*,2,3,4,5,6,7]

> balance

   1
 2
   3

4 (*)

   5
 6
   7

> skew

1 (*)
 2
   3
     4
       5
         6
           7

> right

1
 2 (*)
   3
     4
       5
         6
           7

> root

1 (*)
 2
   3
     4
       5
         6
           7

> right

1
 2 (*)
   3
     4
       5
         6
           7

> right

1
 2
   3 (*)
     4
       5
         6
           7

> right

1
 2
   3
     4 (*)
       5
         6
           7

> root

1 (*)
 2
   3
     4
       5
         6
           7

> rr //doesnt do anything becasue it has nothign on its left to skew add above and make a root of.

1 (*)
 2
   3
     4
       5
         6
           7

> root 1 (*)

 2
   3
     4
       5
         6
           7

> print Tree[*1*,2,3,4,5,6,7]

> skew

1 (*)
 2
   3
     4
       5
         6
           7

> right

1
 2 (*)
   3
     4
       5
         6
           7

> right

1
 2
   3 (*)
     4
       5
         6
           7

> right

1
 2
   3
     4 (*)
       5
         6
           7

> r

1
 2
   3
     4
       5 (*)
         6
           7

> rl

1
 2
   3
     4
         5 (*)
       6
         7

> root

1 (*)
 2
   3
     4
         5
       6
         7

> right

1
 2 (*)
   3
     4
         5
       6
         7

> rl

1
   2 (*)
 3
   4
       5
     6
       7

> r

1
   2
 3
   4
       5
     6
       7

> balance

   1
 2
   3
4 (*)
   5
 6
   7

> s

1 (*)
 2
   3
     4
       5
         6
           7

> r

1
 2 (*)
   3
     4
       5
         6
           7

> r

1
 2
   3 (*)
     4
       5
         6
           7

> r

1
 2
   3
     4 (*)
       5
         6
           7

> rr

1
 2
   3
     4 (*)
       5
         6
           7

> rr

1
 2
   3
     4 (*)
       5
         6
           7

> l

1
 2
   3
     4
       5
         6
           7

> root

1 (*)
  2
    3
      4
        5
          6
            7

> r

1
  2 (*)
    3
      4
        5
          6
            7

> rr

1
  2 (*)
    3
      4
        5
          6
            7

five

1 (*)
 2
   3
     4
       5
         6
           7
             8

> rl

 1 (*)
2
 3
   4
     5
       6
         7
           8

> root

 1
2 (*)
 3
   4
     5
       6
         7
           8

> rl

   1
 2 (*)
3
 4
   5
     6
       7
         8

> root

   1
 2
3 (*)
 4
   5
     6
       7
         8

> rl

     1
   2
 3 (*)
4
 5
   6
     7
       8

> root

     1
   2
 3
4 (*)
 5
   6
     7
       8

> rl

       1
     2
   3
 4 (*)
5
 6
   7
     8

> root

       1
     2
   3
 4
5 (*)
 6
   7
     8

> rl

         1
       2
     3
   4
 5 (*)
6
 7
   8

> root

         1
       2
     3
   4
 5
6 (*)
 7
   8

> rl

           1
         2
       3
     4
   5
 6 (*)
7
 8

> root

           1
         2
       3
     4
   5
 6
7 (*)
 8

> rl

             1
           2
         3
       4
     5
   6
 7 (*)
8

> root

             1
           2
         3
       4
     5
   6
 7
8 (*)

> rl

             1
           2
         3
       4
     5
   6
 7
8 (*)

>Woohoo, a left skewed tree:D

SIX!

> skew

1 (*)
  2
    3
      4
        5
          6
            7

> rl

  1 (*)
2
  3
    4
      5
        6
          7

> root

  1
2 (*)
  3
    4
      5
        6
          7

> rl

    1
  2 (*)
3
  4
    5
      6
        7

> root

    1
  2
3 (*)
  4
    5
      6
        7

> rl

      1
    2
  3 (*)
4
  5
    6
      7

> root

      1
    2
  3
4 (*)
  5
    6
      7

> l

      1
    2
  3 (*)
4
  5
    6
      7

> rr

    1
  2
    3 (*)
4
  5
    6
      7

> root

    1
  2
    3
4 (*)
  5
    6
      7

> r

    1
  2
    3
4
  5 (*)
    6
      7

> rl

    1
  2
    3
4
    5 (*)
  6
    7

SEVEN

   1
 2
   3
4 (*)
   5
 6
   7


> i 8

   1
 2
   3
4 (*)
   5
 6
   7
     8

> i 9

   1
 2
   3
4 (*)
   5
 6
   7
     8
       9

> r

   1
 2
   3
4
   5
 6 (*)
   7
     8
       9

> r

   1
 2
   3
4
   5
 6
   7 (*)
     8
       9

> rl

   1
 2
   3
4
   5
 6
     7 (*)
   8
     9

EIGHT

No not really. Well lets look say we have 5 as the root and the numbers 321 and 567 on either side of it lined up one below the other...so the heigh tof the tree is 3. now say 3 is removed. the tree is not balanced anymore. going along hte smae path and rotating will not rebalnace hte tree ... hence no, it cannot always be done...

excuse the typos!!!