 5 (10 )
--------
ந  । ४  ᯮ⥫ ⮬. ⮬ 
祩 ,  ࠦ 騪 ४.

 砫   祩  ⮬ ᠭ ᫮ 0, 
⠭ ᫥  ணࠬ,  ।⠢ ᮡ
᫥⥫쭮 ᨬ- "+"  "*". ⮬ 믮
᫥⥫쭮  ணࠬ  ⠭,  ணࠬ
稢.

 :

"+" --   祩  1;
"*" -- 㬭 祩   2.

.

1) ந ᯮ⥫ ⮬  । ४.

2)  ணࠬ  ⮬ ( , ), 믮
 ᯮ⥫ 稫   祩  ᫮ 61.

3) ਤ㬠 ᯮᮡ 祭  ᫠ n  襥 ᫮
  ᯮ⥫ ⮬.

砭1. ⮬ ࠭ ᫮  祩   ᨬ 䠢
४,  ᫮ 浪  ⮣ ᨬ  䠢:

  ᫮

  0     0
  1     1
  ...   ...
  9     9
       10
       11
  ...   ...

⭮,  ⮬  ࠡ ⮫쪮  ⠪ ᫠, 
  ।⠢ ᨬ 䠢 ४.

砭 2. ᫥ 砭 ࠡ ⮬,  襩 來,
뢠 ᮤন 祩  ⮬     筮
筮 ᫠.

砭 3. ᫨  ணࠬ  ⮬ 㦨 訡, 㦭
  ⮬ ᮮ饭 ""   ணࠬ  ,  誮
४ ⠭   訡.


ਬ. 祭 ⮬⮬ ᫠ 11.

砫쭮 ﭨ                 ᫥ ࠡ ணࠬ
    Ŀ
    0
    
Ŀ             
+**+*+    >   +**+*+11
             


襭 
----------------

 ⮬             
                        ⮢ ⮬  ࠡ:
  0                 --   祩 ᫠ 0
                   
                  -- ⠭    
                        
             믮塞 ணࠬ,    
 {                      
    +         믮  "+"
        㬭   믮  "*"
                  ३  믮 ᫥饩 
 }                      
                        
 ⢥                   १ 믮 ணࠬ
                          筮 ᫠  
                   
                        
                  "+"
                   ᫮  騪 㢥稢  1.
                    
                   
                   
                        
 㬭             "*"
 -                  ᫮  騪 㤢.
   0              
 {                      
                   
                   
                    
                   
 }                      
  *                 
                   
                         ⢥     筮
 ⢥               筮 ᫠ (     ).
                        
            襬   ᫮   㤥 ਡ
  0                     (楤ன "1"), ६
                         ᨬ  騪  ।騩  䠢,
                     騪   ᫮ .
   0              
 {                      
              
   1                
                 
                   
 }                      
                   
                   
                        
              ६饭 誠   
       ନ㥬 ᫠.
                   
                   
                        
 1                    .
  9                 誮 ᬮ    ᫠.
 {                      
    0               
                   
 }                      
     1   
               
                   


ਢ    ஢ ࠢ쭮 ணࠬ ⮬.
 祭 ⠪ ஢ન ਤ  横   楤
"⮬"  ४:

 室
  0                                
                                  
 ࠡ
                                  
                                       
 ࠡ                             
                                 
      ⢥
   +  {  ࠡ }       
   *  { 㬭 ࠡ }
            訡                
                                  
                                       
 
                                  
                                   
                                  

                                       
 㬭                           
 -                                 
   0
 {                                     
                                  
   
                                   
                                  
 }                                     
  *                                

                                       
 訡
                                 
     訡               
                                  
 {
                 
                             
 }                                     
 
                                  
                                       
 ⢥                              
                                       
                           
  0                                

                                  
   0                             
 {                                     
                             
   1
                                
   
 }                                     
                                  
                                  

                             
                      
                                  

                                       
 1                              
  9                                
 {                                     
    0                              
                                  
 }
     1                  
                              
                                  
                                       
 ஥ ⨬쭮 ணࠬ  ⮬
-------------------------------------------------------

஥ ⨬쭮 ணࠬ  稭 " ".

  ஥  ਬ 祭 ᫠ 11.

1) ᫮ 11   祭 ⮫쪮  "+"  ᫠ 10.
 ᫥  -- "+".

2) ᫮ 10 砥 ॥ ᥣ  ᫠ 5  "*". 
।᫥  -- "*".

3) ᫮ 5   祭 ⮫쪮  "+"  ᫠ 4.

4) ᫮ 4 砥  "*"  ᫠ 2.

5) ᫮ 2 砥  "*"  ᫠ 1 (  "+")

6) ᫮ 1 砥  "+"  ᫠ 0.

 ࠧ 砥  ⨬ ணࠬ  ⮬,
騥 ᫮ 11  ᫠ 0  6 : "+**+*+"  "++*+*+"

 ⮬᪮ ஥ ணࠬ  ⮬
----------------------------------------------------------

 ஥
  ணࠬ = ""
   n  ࠢ 0
  {
     n ⭮
     
     {
       ணࠬ = "*" + ணࠬ
       n = n/2;
     }
    
     
     {
       ணࠬ = "+" + ணࠬ
       n = n-1;
     }
  }


砭.  ᠭ  ᫮ 몥. ६ "ணࠬ"
-- ப.  砫  ⮩ ६ ᢠ 
ப:

ணࠬ = ""

:

ணࠬ = "*" + ணࠬ

ணࠬ = "+" + ணࠬ

뢠 ᮥ ᨬ  ப ( ⥭樨).

,   ணࠬ  ६ "ணࠬ"  
אַ,   ⭮ 浪.

 
------------
  ᭠   ४:   
  ந ணࠬ  ⮬,  ன  ᫮
.


                        * * *

 ।⠢ 祭 ࠧࠧ   ॢ
ᨬ  筮 ᫮.    祫 㦭  ᢮
 ॢ,  筮, .

 訡:

-- ஢ઠ ࠢ쭮  ⤥ 室
-- ᫥ 権 "+"  "*"   ,     ।
   


                        * * *

 3101
------------
.\01\01.txt
.\01\010501.kor
 襭 楢 
業: 10

ᠭ ⬠
------------------
砫    騪 , ⥬  ᨬ    
ਡ  騪  (᫨  +),  㢥稢
ᮤন 騪  (᫨  *), ⮬,  ᨬ 
ᨬ  騪 (᫨  -  ),  ணࠬ ஢.

ணࠬ  祭 ᫠ 61: +*+*+*+**+

⮡   ᫮ n, 㦭 믮  ⢨:
  2 , ᫨ ᫮ ⭮, ⠭ 1   稬 0,
ਬ: 100-50-25-24-12-6-3-2-1-0. ⥬   0   n
ࠢ   뢠 ⢨, ਢ騥  १.

਩ 
--------------------
ࠬ⭮ 襭.  ⨥  ४ᨨ. 毥ॢ ᨬ 
姭筮 筮 ᫮:

                               
  2 
 
     ஢


 ஢
     {
                    10     
                   ஢         
                                       
                   
                  }
             {                    
                                  
                    0              
                  }                    
                                  
                                       
 ⮣  ॡ  ᭨,  ਩  蠫 .
த ⠪:

 " 10 ", 믮塞  ᨬ   騪,
⠢  祩   १ (᫮ )
६ "" ⪨   ⫮  .
 訩 ࠧ   ନ஢, 誮 ᤢ , 
祩 뢠 0  "᪠" ४ᨢ 㦨 "" -- 
 뢠 ᫮ ⪮.


 3102
------------
.\02\02.txt
 襭: ॢ 
業: 9.5

ᠭ ⬠
------------------
1) 뢠 0  騪  室  ࢮ ᨬ  
2) ࣠ 横 (᫮ 砭 -  )  ᫥
   㬬:
- ஢ ᨬ :
  ᫨ +,  ࠢ ᮤন 騪  ᨬ "@" (᫥ ᨬ
   ஬   ਡ 1) ᫨ ,  뤠 ᮮ饭  訡,
   㢥稢 ᮤন 騪  1,
  ᫨ *,  ࠢ ᮤন 騪  ᨬ "" (᫥ ᨬ
     㬭) ᫨ ,  뤠 ᮮ饭  訡,
   믮 㬭 ( ᮤন 騪     
   ⠥ 1  ᮤন   ਡ  ᮤন 騪 1,
  ᯮ  )
3)  १ ᫥:
-    00
-  ᮤন 騪  ⠭ ࠢ 0:
  믮  ᮤন 騪    ᮤন  
  㢥稢  1


ணࠬ  ⮬ 祭 ᫠ 61:
   + * + * + * + * * +

 祭  ᫠ n  襥 ᫮ 
   ᫮  ⠭ ࠢ 0  ᫥騥 ⢨:
- ஢    ᫮  ⪠  2,
- ᫨ ,  ࠧ  ᫮  2   *
   -     +
  믮 樨 *  +  


਩ 
--------------------

஢ઠ  "९" 騪  ॡ  ᫮ .
४ ᠬ ᮮ  ⮩ 訡 ᢮ " ".  ⬥ 襩
஢ન  訡:

> ᫨ +,  ࠢ ᮤন 騪  ᨬ "@" (᫥
> ᨬ  ஬   ਡ 1) ᫨ ,  뤠
> ᮮ饭  訡,

 ᨬ "@" 㦥  ਡ 1.

> ᫨ *,  ࠢ ᮤন 騪  ᨬ "" (᫥
> ᨬ    㬭) ᫨ ,  뤠 ᮮ饭
>  訡,

 "" 㦥  㬭  2.   㬭 ⮫쪮 ᨬ
""  ,     䠢 ४.

筮 ᫮ ॢ ᨬ  筮 ᫮.


 3104
------------
.\04\04.txt
.\04\0451.kor
⨢ 襭
業: 7

ᠭ ⬠.
.

 ஥ ணࠬ  ᫠ 61  ⬠ ஥
⨬쭮 ணࠬ.

਩ 
--------------------

믮 ஢ન   ࠢ쭮  ⤥
室,   譥.  ॢ ᨬ  ᫮  
 䨪樥 ⬠  3101 -- ४ᨢ 㦨
, ⪨ ନ  騪 ४,   
:

                           
 
 -
                              
                               
                                  
    {
      0
                                  
                            
       {
         10                
                                  
        
        
       }                               
                                  
     
     -
    }                                  


砭. 

  
                               
   ...

 :

    ...

 3105
------------
.\05\05.txt
.\04\0551.kor
: 襭 ⨢
業: 7

ᠭ ⬠
------------------
1. ⢫塞 ஢ ࠢ쭮  ணࠬ  ⮬ (
   ⮫쪮 +  * ).  砥 㦥 訡
६頥     襬 <>, ⥬ ᯮ ⫮
  頥   ,  㦥 訡. ᫨ 
 訡 ,   ⮫쪮 㦨 , ᯮ 楤
訡_ 頥  砫 .

2. 頥  騪 .

3.        ஢塞   
. ᯮ 楤 믮 㢥稢 ᮤন 騪 
, ᫨   +,  㢥稢 ᮤন 騪   ࠧ
᫨   * (楤 __).   
⢫ ᫥騬 ࠧ:    ,  ⮬
稢 ४ᨢ 㦨 (⮡     ᨬ 
஬ ⠭), ᯮ 楤  㢥稢
ᮤন 騪   㡨ࠥ ᯮ⥫ ,  
⫮   頥  㦭   .

4. ன  , ८ࠧ뢠 ᮤন 騪  筮 ᫮.
 ⮣ 뢠 0=00. 稢 ࢮ ᫮  ன ᨬ
ண ᫠   1     ࢮ ᫮  ᮢ  ᨬ 
騪,  ⮬  ⮫쪮 ன ᨬ  ஬ ᫥ ࠢ  , 塞  
 ,   ᨬ ⮩ ᫠ 㢥稢  1. 姭 ᫠ 
 ४   ( ᫮ ).

 । ⠪ ணࠬ 祭 ᫠ 61  ⮬
       + + + * + * + * * + ,  ⠥  ⨬쭮.

᫨ ᫮ n ⭮,    , ᫨ - ⭮ ⠥ 
 1, 祭 ᫮   , ᫨  ⭮  ⠥ 
 1 ᫨  ⭮  . .   १  稬 .
 ⮬ 뢠  権 ⠭    ⮬ 浪,
 ஬   ந. ९襬   ⭮ 浪, 
    㬭,   ⠭   ᫮,
뢠. 祭 ணࠬ  ⮬ 㤥 ⨬쭮, ᫨
 室 ᫥  뫮 饭 訡. 㬠,   ᯮᮡ
⥭ ᥬ   .

਩ 
--------------------

祭 襥 (⭮) ᠭ ⬠.
 ⬥  ᫥騥 ⨬쭮:

-- ஢ઠ ࠢ쭮 ⤥ 室
-- 믮  "*"   ,     ணࠬ.

ᠭ ⬠ 祭 ⨬쭮 ணࠬ  ⮬
୮,  ணࠬ  祭 61  ⨬쭮.


 3106
------------
業: 9



 3107
------------
.\07\07.txt
.\07\0751.kor
 襭  
業: 3

ᠭ ⬠
------------------
1  0  騪
2  稪
3  १

਩ 
--------------------

ᠭ ⬠ 祭 㬠, ணࠬ -- 䠡ਪ.


 3108
------------
.\08\08.txt
.\08\0852.kor
:  ਭ ⠫쥢 ஧.
業: 6

ᠭ ⬠
------------------
室  ணࠬ ⮬ 믮  "+"  "*" .
믮  ⮬ "+"   .
믮  ⮬ "*"    , 
    ४ᨢ 㦨,   
稢. 筮 ᫮ 뢠   ४ᨢ 
㦨     10 . 

਩ 
--------------------
 ஥ ணࠬ  ᫠ 61.  ⬠ ஥
⨬쭮 ணࠬ  ⮬. ணࠬ 稭 ࠡ 
,  ᨬ ன  ᨬ "0",  
ᮮ⢥ ᫮ .  ⠫쭮 ணࠬ ࠡ⠥
ࠢ쭮.

 3110
------------
.\10\10.txt
: ஬ .   . 7 
業:5

ᠭ ⬠
------------------
 ணࠬ ࠡ⠥  砥  ணࠬ  ⮬
ᠭ ४⭮.
-   ணࠬ ࣠㥬 稪 १ 7 -
  (-------- ᯮ㥬  㬭  )                                     
-室 ᫥⥫쭮  ணࠬ
     ᫨ । ᨬ + ,  稪 㢥  1
     ᫨ । ᨬ *,  稪 㢥稢
         2 ࠧ                                      


ணࠬ  祭   ⮬ ᫠ 61
     +*+*+*+**+

  祭  ᫠ N.
1.᫨ N ⭮,   ணࠬ ࠢ ⠢  *,  N:=N/2
  ᫨ N  ⭮,   ணࠬ ࠢ ⠢  +,  N:=N-1
2.  N<>0, 믮  蠣.
3. .

਩ 
--------------------
 ஢ન ४⭮ ணࠬ ⮬.
 ⨬쭮 믮 権 "+"  "*".  ᫥ 
騪 ᯮ ᫥  .

 3112
------------
.\12\12.txt
: ᮢ , ନ஢ , ﭨ .
業:5.5

ᠭ ⬠
------------------
⤥쭮 ᠭ ⬠  ( 祭 ),
 ணࠬ ᭠ ஡묨 ﬨ.

਩ 
--------------------
 ணࠬ  祭 ᫠ 61.
믮 樨 "*" 믮  䥪⨢ (  ,
  । ).

ࢠ 窠  ணࠬ ⮬ 業 ४஬ 
訡.




 3114
------------
.\14\14.txt
 襭:  㪠
業: 4

ᠭ ⬠
------------------
.

਩ 
--------------------

 ஥ ணࠬ  ᫠ 61.  ⬠ ஥
⨬쭮 ணࠬ  ⮬.

஢ઠ ࠢ쭮 ணࠬ ⮬  ⤥ 室 
 ⠭ 誠   訡.

室  ࠥ  .
