sum at ran

43

Upload: nieeicher

Post on 07-Apr-2018

220 views

Category:

Documents


0 download

TRANSCRIPT

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 1/43

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 2/43

!"

#

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 3/43

$

%

&'(&'!")*)

)+'"

#)')"

#)%%'*'"'

#%)

'%)*

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 4/43

,

!"

#

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 5/43

-

./'

!"# !"$%#

!

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 6/43

0

'&*

'&12"333""4

5- 3 6 $ 6

73

$3,6

53

,,3,53

-33 -33

3

33

,33

033

           

  &                 "   

      

        

           

  !          

          8  

       

                  

     9  

    :      

   #    +

     '  

   #       

         

     ;        

  <    "       =  

     =   ;

        

      

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 7/43

6

&#"'"'"&

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 8/43

5

+"'':3,

' &>'"'' &>'"&>'"

./ '&)'!'''/ ?@A33B=B'9C! "BC33B;

      &                    #

                                    '      (                              

)&1=D3334

****+*+*

!

9:

#+'

;

!:'C"'

"

)

&,-

=; *

.

/

9)

'

!

&

&,

)

"$

-

)-

&#'(

0

1)

&,

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 9/43

7

'E

2

--3

13

-3

13

34%3

3

3

-3

3

13

3

56 56 56 56- 567

5,2F

%

                  3         3         3    E

         3         -

                  3         3         -    E

                  3

                  3                  3    E

                  -

                  3                  -    E

                  3

                  3                  3    E

                  -

                  3                  -    E

         $         3

                  3         $         3    E

         $         -

                  3         $         -    E

         ,         3

                  3         ,         3    E

         ,         -

                  3         ,         -    E

         -         3

&,

89

)

:

''%''

"'*%',F

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 10/43

3

/)

*?

3

B333

B333

$B333

,B333

-B333

0B333

6B333

     5     

   E     5     

     5     $

   E     5     ,

     5     -

   E     5     0

     5     6

   E     5     5

     5     7

   E     7     3

     7     

   E     7     

     7     $

   E     7     ,

     7     -

   E     7     0

     7     6

   E     7     5

     7     7

   E     3     3

     3     

   E     3     

     3     $

   E     3     ,

     =    

              

     1     G     3     3     3     4

!-F

!G,F

*?

60F

?

-F

&)'

3

-33

B333

B-33

     5     

   E     5     

     5     $

   E     5     ,

     5     -

   E     5     0

     5     6

   E     5     5

     5     7

   E     7     3

     7     

   E     7     

     7     $

   E     7     ,

     7     -

   E     7     0

     7     6

   E     7     5

     7     7

   E     3     3

     3     

   E     3     

     3     $

   E     3     ,

     =    

              

     1     G     3     3     3     4

!C,F !CF

A3-0# A3-#

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 11/43

;#E '

*:

="*)%'

8*)*%')'H'')%%

5-F%!%'1-F!4

C'!')C

F=:

F

,F

6F

$3F

75 77 33

3

3

3

3

-3

3

3

$ $ $ $     F     I

                                       

I'"1=4

33336

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 12/43

!I(#)

3F

3F

,3F

03F

53F

33F

33 33$ 33, 33-

         

             

J=6333 =6333E333

=333E0333 =0333E3333

K=3333

!"'*=333''%53F%

'"'*=6333333%))")'

')')B'*%"'"%"

%

&%'%'''''"B)*E%% 

&%'%%%%''**)'' *)'=5-'"

%

3

3

,3

03

53

33

3

,3

# ! #

+"

     #        

                        !             

         1     =               4

%!&'9

!%*"%9'! 

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 13/43

$

&)' &L'*

(

-33B333

633B333

733B333

B33B333

B$33B333

B-33B333

B633B333

33E3 33E3$ 33$E3, 33,E3- 33-E30 330E36 336E35 335E37 337E3 33E

      !

                      

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 14/43

,

&)' )

:+9;

3F

3F

3F

$3F

,3F

-3F

03F

63F

53F

73F

33F

33$ 33, 33- 330 336 335 337 33

9 ! M #& =

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 15/43

-

&)'# !&

#&

=

8+

#:

!"'

#

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 16/43

0

/"*

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 17/43

6

.*

I+B#8!B

'B

 

=)

#&BC8).*BI!'B

.*''

!)

B

?+

.*'BI<::

#B9)

#"B&

)

335E37336E35330E36

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 18/43

5

.*

)

!II #(#C#=8

8

)

!(

!(

:*%

I'

IL

.*I'' I<::

A

 

C8)

!"

!'

!

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 19/43

7

.*

)

8

)

!(

!(

. *)

.*!

&

.NE

?+

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 20/43

3

3 33B333 33B333 $33B333 ,33B333 -33B333 033B333 633B333 533B333 733B333

I

#

#(#

I

:

%!"'/33-E337

..=.!!&!AN&..&8...

9337B'"''

+'% "

.*!"'

9&

+)!"'

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 21/43

&'' 8)

O .C&"L'%'/'

O PQ@

O 'C*

O ''"

%'/I)**

O '!

O #)%)

O 8)'"

O 8)'"

%.&'

'

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 22/43

!"

#

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 23/43

$

""

1

""

)

<""

!"'/ 

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 24/43

,

6FH"

3F

"

"

F

B

(

)

7F

''

7F

)&

$F

9(!

F

!"&'C)

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 25/43

-

#+"%!"

'

F

3F#

5F

%'

F

5F

"

$3F

'G

$F

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 26/43

0

0F-F,F$F+""1F4

$7-3$330,-$331=D4

,3333603-65+"

1=D4

563306$3-,$3,,63"1=D4

33,E33-33$E33,33E33$33E33

!"/"

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 27/43

6

!"

#

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 28/43

5

!''#%' 

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 29/43

7

@")'*

%'*

"'E" 77E7

)*+"*

% 77>7$

?'%

'77,B@

&)))*B

"''

<775B@

'%

')"

)*

"%

%% 

%&)!9=

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 30/43

$3

#E '

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 31/43

$

&'"")

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 32/43

$

%%')%!"

8*"'

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 33/43

$$

EIC(!"

C!%%'%

')B"(

)

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 34/43

$,

I)&''

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 35/43

$-

)*E 8))%%''%&%

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 36/43

$0

%

%

3

-3

33

-3

33

-3

A3 A3 A3$ A3, A3-

     =    

                   1     G     3     3     3     4

&,.25644 3

 )  : 4  

 3

# *1&)'4

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 37/43

$6

#E #&%'1&)'4

77$7

33

36

7

33

-5

,-$6

,3

03

53

33

3

,3

03

53

A3 A3 A3$ A3, A3-

: I #

*=3> *=&,?,>

./!""+'"%CC!''

-3,0, ,00 ,0

-3

-%

% $,,,,07

-

-

-

$-

,-

--

A3 A3 A3$ A3, A3-

: # I

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 38/43

$5

# '&%'

,3,

$3,6

67

370

33

3

-3

3

B333

B333

$B333

,B333

-B333

A3 A3$ A3, A3-

3F

-F

3F

-F

3F

.C 9)

!*

1

4

1%

4

E-3

E33

E-3

3

-3

33

-3

33

-3

$33

A3 A3 A3$ A3, A3-

!*

:7(7@!7AB7:C&@*:&@ :B5&C5C7:CD

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 39/43

$7

")#) !"

B=3>

E3E3

$,3

-0

7,

-

7$3

E

3

,

0

5

3

,

0

I . I : !N #

A'3,>#3-

A'3$>#3,

!"#$%#

&'()*+

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 40/43

,3

&'#

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 41/43

,

'")*

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 42/43

,

!'/

O %"

O #%'''%'

O ))%""*%'

O 8*E'

O !'"%%''

O 8''"'%%')

8/3/2019 Sum at Ran

http://slidepdf.com/reader/full/sum-at-ran 43/43

,$