.,ccc$$$$$$$bccc,.
             .,c$$$$$$$$$$$$$$$$$$$$$$$$c,
         ,c$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$c,
       ,c$$$$CCCC$$$$$$$$$$$$$$$$$$$$$$$$$$$$$,
     ,d$$$CCCCCCCC$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$c
   ,$$$CCCCCCCCC>"$$$$$$$$$$$$$$$$$$$$$?3$$P,d$$$"
 ,d$$CCCCCCCCCC>,$$$$$$$$$$$$$$$$$$$$Ez$$$$$$$$$" -db
,$$$CCCCCCCCCC>,$$$$$$$$$$$$$$$$$$?$$$$$?$$$$$$$" z$$b
<$$CCCCCCCCCCC'J$$$$$$$$$$$$$CCc$$$$$$$$$"c$$$"  e$$$F
<$$CCCCCCCCCCC.$$$$$$$$$$$$C3$$$????$$$$$$$"".. "   z$b.
<$$CCCCCCCCCCC>`$$$$$$$?$$$$$$$$$$$,J$$$'$$br   .   P)$$b
 $$CCCCCCCCCCCCc`?$$$$h$$$$$$$$$$$??",$$$$$$F cd$c$$c$$$$$.
 `$$CCCCCCCCCCCC>,$$$$$$$???" _,,,c$?3$$"$$$$."?$$$$$$$$$$$
  `$$CCCCCCCCCCCCCC?$$$   ,c$$$P""  4,$$ 3$$$$$c`?$$$$$$$$$
   ?$$CCCCCCCCCCCCC 3$P   $$$F  ,   ,$P"$$$$$$$$$c "$$$$$$$ 
    "$$CCCCCCCCCCCCc`?L  J$$P" J3$$$$P,d$$$$$$$F3$$c,"?$$$$,
     `?$CCCCCCCCCCCC>c,  $ -cc="=$$$$c$$$$$$$$$LJ$??P d$$$$hc
       ```''??CCCCCCCC>"" c$$$$$$$$$$$$$$$$$F'?"  ,, d$$$$$$$L
     J??????c,,CCCCCCC<Cc>,$$$$$$$$$$$$$$$$$$bccd$$L,$$P""$$$$,
     `,zd $r  <CCCCCCCCCC "$$$$$$$$$$$$$$$$$$$$$$$$$$P","3$$$$$
       "$c$,4 <CCCCC$$$CC>,. `"""???$$$$$$$$$$$$$$P",c"3c$P?$$$,
        `??$cc <CC$$$$$$CCCCCC><cccc$$$$$$$$$$$$"  )Cld$"  ,$$$$,
            ""? `CC"`"C$$$$$$CCCCCCCCC,"$$$$$$ ,d$??$P" ,d$$$$$$F
                       3CC$$$$$$$$$CCCCc`$$$$$$$$$cc,,,$$$$$$$$F
                  $$$c  `?CCC$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$"
                  '*$$$$$c,.''""????$$$$$$$$$$$$$$$$$$$$$$P""
                  jn,. ""?$$$$$hcc,        `""""""""""""
                ,,.`"TMMmn,."?$$$$$$hc, "$$$hccc,.   
              /%||/(|:|.:|%%(:.VD@#0######$##0|(O/|%V://(/:%::|%D8Y(           
              :(|:/|:|/(%%%%(./DDD0######$###0OYY:(8/(%8O%||(@(|(Y@O0(V%       
             .:|//((%%%%%%%%(|8DD8D########0@O%8|/(:||888/|:0YV|0%V#V@#@Y/:    
          :%YV#8O88OOVYVVODD8|%VVYVD###0#@8O(%D/|(:||OD8O|/$8VY%08VOVDYVVV8|.  
       /|O@O%OY08VDDDDDDDDDDDOO@@@DO8@D8V8@YVDV.|V/|%DDDV:8#Y8|V0%V(VV(YY(O0%  
      (@D/ODD(V%0OODDDDDDDDDDDYVDD0$$#0D0D(ODD%:V8::ODD8%|$%V(/8#0Y:%YVOOYD#O  
      O@@@%DD@(DV$VDDDDDDDDDDDDVO0#0####8(8DDD(YDV:VDDDD|0DVY@(80##0%DDVO$##V  
     .8D@@D(Y@V/VO@YDDDDDDDDDDD8VO####08%D8DDD8DD((DDDD8V$YO8#O(8D0#@DOD$##0/  
     Y8DD@DV(%D/V(#VVOOOOOOOOOOOOVV0#08/8OOVO88DDYODDDDO#OV/0$#YY8D0#08#$##8/  
     88@YDD8/(DD%8Y88888888888888OV(8DYOOO88OOOVVYYYYVOVVVY8@$$0%ODD#######(/. 
    |8D@%YD8/%D#OOVO8OY%%Y%Y%%%/%Y%%(%(Y(%%((YYYVVVY%%Y/%YY##8$#DYY8@######/Y8V
    (D@@VV8D%D#$$$$0ODOYYVVVYYYVOVY|OY:YV(|(%(%%%%%%YD#YY@0$0Y##O@DY(V0####YO8D
   :V@@@D(OO%0$$$$$%80088O88D00###D/00D00DY0#0@@@@0000#VV8888:@#YV%YYD0####VODD
   .D@@@@8%%Y0$$$$$$VO@000000DVYYY(.O0@@0O:|YYVO8000000|@@@DDOV@/(ODVD0####DYDO
   //(%YV8(O%@@#$$$$#:8@0000@OOOVV%%|V%(/|YVYO8OOD@0008|88YV00%8/%YDYD@####$(|:
   %%%%%(/::|@@DD0ﾁｸﾋﾞ/%V8D@@00@0DV|%(V/V|%(O@@@DDﾁｸﾋﾞ8/$$DD$$Y%(%%Y%D@####$%: 
   (%%%%%(||:8@@DD888V%OO8D0000@8%%8%@@|VO(%Y%00000000@/$$$$$$V/%%%(%D@####$@  
   /%%%%%%/|:(@@@@@DD@OYO8D@@D8Y%88VV#0|OO8V%OYV8@00DOV008$$$$8/(|/|V80#####$Y 
  (%%%%(%%(||.8D@@@D@@@D%YOV%%YD08OV000/0@D008888V(D0$#VV/8$$$D.:VY(D80#####$$/
   (%%%%%%/|||%8D@D@@@@@8VY%%000@880000/0#00000@D00O8#O@O|#$$$D .YY8D80######$@
    .:///|::::/@8D@@@@@D8OV%0000@800000:@00000000008%8@D%0$$$$Y ||%DDD########$
     .%YO88OVV(@88@@@@@DOO(OO@00000000D/%##0#000OVOYD@DV8$$$$$Y  .%DDD#########
      /8DDDD8O/@8OD@@@D88D@D88O000008VOOVVVVO@@/8@O@@@OV$$$$$$Y   /DDD0########
      |DDDDDDD%VO8D@@@D@@@@@@D8VDDVYO@@DD@@@DOV#08@@@DV$$$$$$$:    8DD@########
      :DDDDDDDO/O8D@@@@@@@@@@@@@D88O8@@@D0#0$$$$@@@@D%#$$$$$$$     |8DD@######0
      /DDDDDDD8/OD@@@@@@@@@@@@@D@8O80D@@@$$$$$$@@@@@V$#@$$$$$#.     |8D80#####(
      VDDD8DDDD(OD@@@@@@@@@@@@@@DOD$0@DD#$$$$$@@@@@Y00@D#$$$$(       :YDD####V 
    .:DDDDDDDD8:O@@@@@@D@@@@@@@@8D$$@@D@$$$$$@@@@@O@D88O8D88O:         |YD@0V  
    .VDDDDDDDDV(OYYYVO0@@@@@@@@DD$$0D@@$$$$$DOVVVY(%VO8D$$$$$:           |/|:  
    .DDDDDDDDDY@@D@@0#8OVODD@@DD$$$@D88O8D8OO8@@@88D@@D@$$$$$8                 
    /DDDDDD8DD%@@@D0$$$$@DOVVYV888OYVO0$$$#D@D@DD@@@@@D##0D88%                 
    YDD8D@0@DD/Y8D0$$$$$@@@@D#$$$$@@@@$$$$@@@@DOVY%(|/|:|%/Y/                  
    YDD@####D|:|||/YV8@#0@@@0$$$$#D@@0#0DVY((/:./((YY.VD(V8/V.                 
    Y8D#####O.|/(%/..||:|:|/((%YY((/||/::/(%YOO:(YODDY(D8|OD(8:                
    Y8@#####(|(%%%|.|(/|: ||||(V/://(V88:%YODDD8/DDDDD|DD8(DV(O                
    YD######|%%%%(./%%(|.|//%V8D/%%V8DDD/ODDDDDD(ODDDD(OD8(8D(VY               
    Y@#####@:%%%%||%%%%|:%%V8DDD|V8D8DDD(VDDDDDDY|DDDDV|DDV/DD%D/              
    V0#####8:%%%%.(%%%%:|%VDDDD8/DDDDDDDY|DDDDDDO 8DDD8:8DD|ODYY8              
    V######O:%%%% (%%%%./%ODD8D8(DDDDDDDV.DDDDDDD:YDDD8|VDDV%D8:8|             
    O######%|%%%( %%%%%.(%88DDD8(DDDDDDD8.8DDDDDDY%DD8DY%DDD/DDOYD.            
    O######:/%%%(.%(%%%.(VDDDDD8(DDDDDDD8.8DDDD8D8(8DDD8/DDD%8DD(D(            
   /D#####0 %%%%(:%%%%( %OD8DDD8(DDDDDDD8.8DDDDDD8(DDDDD|DDDV(DDV%8            
   |@#####O:%%%%(:%%%%( %DDDDDD8(DDDDDDD8.8DDDDDD8(DDDDD|DD8D|ODD(V|           
   %######Y(%%%%(:%%%%( YDDDDDDO(DDDDDDD8.8DDDDDD8(DDDDD/DDDDV%8D8%D|          
   (######/(%%%%(:%%%%( VDDDDDDYYDDﾏﾝｺDD8.8DDDDDD8(DDDDD(DD8DD(DDDYVV          
    D#####0|(%%%(:%%%%( ODDDDDD:YDDDDDDDO:DDDDDDD8(DDDDD(DDDDDYVDD8:8(         
    @######$((%%/:%%%((.ODDDDDD:ODDDDDDDV/D8DDDDDV%DDDDD(DDDDDO|DDDV%D.        
   /@######$#|(%|/%%%((:ODDDDDO:D8DDDDDDYVDDDDDDD/YDDDDD(DDDDDD/VDDD/D%        
  .8@#########/%:%%%%%(:8DDDDDY%DDDDDDDD(DDDDDDD8:ODDDDD(DDDDDD8(DDDV/D(       
/.(D0#####V###/(:%%%%%(|DDDDDD(8DDDDDDDD(DD8DDD8O:DDDDDD(DDDDDDD(DDDD|VD|      
|.VY0###@/%##0|./%%%%%(|DDDDDD(DDDDDDDDYY8DDDDDDV/DDDDDD(DDDDDDDY%DDDO(8(      
YY(OO##0:/|Y0:|:%%%%%%/|DDDDDD/DDDDDD88|8DDDDDDDYYDDDDDD(DDDDDDD8:8DD8/DD      
|%%|%@#0::((/..(%%%%%%|%DDDDD8%DDDDDDDY%DDDDDDDD(8DDDDDD(DDDDDDDD(VDD8Y(DD     
8(|:./@08:.|O8|%%%%%%(:ODDDDDVYDDDDDDD(8DDDDDDDD(DDDDDDD(DDDDDDDD8(DDD8:OD%    
(88%|::(Y/Y:||/(%%%%(|:DDDD8D(VDDDDDDV(DDDDDDDD8(DDDDDDD(8D8DDDDDD/DDDDO/D8:   
::(8DV/|.|O|/(V/%%%%(|/DDDDDD|ODDDDD8(YDDDDDDDDV%DDDDDDD%VDDDDDDDD%VDDDD(OD8.  
::::/ODV(|(V8@//%%%(||(DDDDDO.8DDDDDY|ODDDDDDDD/Y8DDDDDD%(DDDDDDDDV|D8D8O:8D%  
::::::/O@O((8#08%(%/|:(DDDDDY:8DDDDO%:DDDDDDDD8.VDDDDDDDV/DDDDDDD8D|ODDDD(YDD( 
::::::::/O0O((YY%:|||.VDD8DD((DDDDD%//8DDDDDDDO.VDDDDDDD8|DDDDDDDDDV%DDDDD(8DD:
:::::::::/8$#D88OO%:|.ODDDDO/%DDDDO%|ODDDDDDDDY:V8DDDDDDD|88DDDDDDDD(DDDDDV/DDY
:::::::::V#O|.....|.:.88D8DY/YDDDDY%|DDDDDDDDD%|VDDDDDDDD(VDDDDDDDDD(8DDDDDY%Y 
::::::::%#( .:.: .  :/DDD8O(|ODDD8%((DDDDDDDDD(:VDDDDDDDDO%DDDDDDDDDY(D8DDD8%  
....::::8(  |/(%| | :%DDDDV%:8DDDY%/YDDDDDDDDD(:VDDDDDDDD8:DDDDDDDDD8:ODD8DDD  
 .|/.:::8  .///|:.Y :ODDDD%(:DDD8%%|VDDDDDDDDD/:YDDDDDDDDD.%DDDDDDDDDO%8DDO%:  
:::/:::%% ..(((%|.V |DDDDV%/|DDDV%(.ODDDDDDDDD|:YDDDDDDDDD|.O8DDDDDDDD/(|.     
:.:/.::8/ ..%%%%/:8/:8DD8%(|/DD8Y%/|DDDDDDDDD8:|YDDDDDDDDD/:%DDDD8D8DD(        
(::..:|Y: .:%%%%||V .|%%((|:/DDO%%|/DDDDDDDDD8::Y8DDDDDDD8/|:8D8DOV%|.         
:Y%.::/|| .|%%%%:/Y  :YO88OO(YO((/:(DDDDD8D8DV|:YDDDD8DDDD%..:|:               
/ %D  .%%../%%%%:YY   (DD88DDD88Y|Y%VOVOOOOOO/%%%VO8OOOOV%:                    
. .|. .0%: (%%%%:V    .DDDDDDDDDYY8DDDDD88888DDD8OO.