iiKKWWGGGGDDEEEEEEDDDDGGGGLLLLffffjjjjttttttttiiii;;;;;;;;,,,,,,,,,,,,,,,,,,,,,,;;iittjjffjjjjffGGDDKKKKKKWWWWKKKKWW##WWWWKKKKKKEEGGKKDDEEKKWW####WW##WWKKKKKKEEWWWWWWKKWW
                              ..KKEELLGGEEEEEEEEDDGGDDLLLLffffjjjjttttttttiiii;;;;;;;;,,,,,,,,::::::,,::::::,,,,iittjjjjjjjjjjffEEKKKKKKWWKKWWWW##########WWWWKKDDGGKKEEKKKKWW########WWWWKKEEKK####WWKK
                              ..EEDDjjDDDDEEEEEEDDDDGGGGffffffjjjjjjttttiiiiiiii;;;;,,,,,,,,::::::::::::::::,,;;;;ttttttjjttjjGGDDEEKKWWWWWW########WW######WWWWKKGGLLKKKKKKKKWW########WWWWKKKKWWWWWWKK
                              ..DDjjffGGEEDDEEEEDDGGGGLLLLffffjjjjttttttiiii;;;;;;,,,,,,,,::::::::..::..::::::,,;;iiiiiittjjttjjGGEEKKKKWWWWWWWW##WWWWKKWW####WWWWKKGGGGKKKKKKKKWWWW##WW##WWWWKKKKKKKKWW
                              ,,GGjjffDDEEEEEEEEDDDDGGLLffffjjjjjjjjttttiiii;;;;;;;;,,,,::,,::::..::..::..::::,,,,;;;;;;iijjjjjjLLEEEEKKKKWWWWWWWWWWWWWWWW########WWKKDDGGWWWWKKWWWWWW##WW##WWWWKKEEffGG
                              ;;LLttLLDDEEEEEEDDDDGGGGffffjjjjjjjjttttttiiii;;;;;;,,,,,,::::::..........::::::::,,,,,,;;;;ttffffffGGKKKKKKWWWWWWWWKKKKKKKKKKKKKKWWKKKKEEGGLLKKWWWWWW##WW######WWKKEEffjj
                              jjffttLLDDEEEEDDDDDDDDLLLLffffjjjjjjjjttttiiii;;;;;;,,,,,,::::..::......::::::::,,::,,,,,,;;;;ttffLLGGEEKKKKWWWWWWWWWWWWWWKKKKKKWWWWWWKKKKEEGGLLKKWW##WWWWWW######WWKKttjj
                              jjjjttLLDDEEDDDDDDDDGGLLffffjjjjjjjjttttttiiii;;;;;;,,,,::::..................::::::::::::,,;;ttjjLLGGDDKKKKKKWWKKKKWWWWWWWWWWWWWW##WW##KKKKKKDDDDKKWWWWWWWWWWWWWWWWKKjj::
                            ..LLttttLLEEEEEEDDDDGGDDLLffjjjjjjjjttjjttttiiii;;;;,,,,,,,,::::..............::::::::::::::,,;;iittffGGGGEEKKKKKKKKKKKKKKWWWWWWWWWWWW####WWKKWWKKEEEEWW####WWWW####WWWWGG;;
                            ,,jjjjjjGGEEEEDDDDGGDDGGffffffjjjjttttttttiiii;;;;;;,,,,,,::::..::..............::::::::::::::,,;;iijjffDDGGKKKKKKKKKKEEEEKKWWWWWWWW######WWWWKK##KKKKEEWWWWWWKKWWWWWWKKEE,,
                            ,,ffjjiiiiGGEEEEGGDDGGGGffffffjjjjjjttttttttiiii;;;;,,,,::,,::::..........::..::::::::::::::::,,,,iittffGGKKEEKKKKKKEEKKGGEEKKWWWWWWWW######WWWWKK####KKKKWW##WWKK##WWWWKKtt
                        ..  ,,ffjj;;,,;;DDDDDDGGGGLLffffjjjjjjttjjttttiiii;;;;,,,,,,,,::::::............::::::..::..::::::,,,,;;ttjjGGDDEEKKKKKKKKEEEEEEEEEEWWWW##WWWWWW####WWKK##WWKKKKWWWWWWWWWWWWKK;;
                      ::DDGGjjLLtttt;;::ffKKDDGGGGGGffffjjjjjjjjttjjttttiiii;;;;,,,,,,::::::......::..::..::..::..::::::::,,,,;;;;ttffEEKKKKKKKKKKKKKKKKEEEEKKWWWW##WW##WW####WWWWWWWWWWWW##WWWWWW##KKii
                      jjKKKKDDffiitt;;::jjDDDDGGDDGGLLjjjjjjjjttttttttiiii;;;;,,,,,,,,::::::........................::::::::,,,,;;iijjffEEKKKKKKKKKKKKKKWWKKKKEEWWWW##WW########WWWWKKKKWWWWWWKKWWKKWWjj
                    ..EEKKKKGGLLttjj;;,,jjEEDDDDDDDDLLffjjjjjjjjttttttttii;;;;;;,,,,::::::::..::......................::::::::,,;;iijjGGEEKKKKKKKKKKKKWWWWWWWWWWKKKKKKWW############WWKKKK##WWWWKKKKKKGG
                    ,,EEKKKKGGLLffjj;;,,ffEEDDDDEEGGLLffffjjjjttttttttiiii;;;;,,,,,,,,::::::................................::::,,;;ttffEEKKWWKKKKEEKKWWWWWWWWWWWWEEEEKKWWWW######WW##WWKKKK##KKKKKKEELL
                    iiKKKKKKDDGGfftt;;;;LLKKEEEEEEEEGGGGffffjjjjttttttiiiiii;;,,,,,,,,,,::::..::..........................::::,,,,;;iijjffEEKKKKKKKKKKKKWW##WW########WWWWWWWW######WW##WWKKWW##WWKKEEGG
                    DDEEKKEEDDLLjjii;;iiGGEEEEEEEEEEffjjiiiijjttttttttiiii;;;;,,,,,,,,::::::::................................::,,,,;;ttjjffEEEEKKEEKKEEKKWW##############WWWWKKWW####WW##KKKKWW##WWKKGG
                  ;;EEKKKKEEDDffttii;;ttDDKKEEKKEEEEff;;;;,,;;jjttttiiiiii;;;;;;,,,,,,,,::::::::..............................::::,,;;ttjjjjffEEKKKKKKKKKKEEWW##################WWWWWW##WWWWEEKK##WWKKGG
                  ffKKKKKKDDGGjjttiiiijjKKEEKKKKKKDDff;;;;::::iittiiii;;ii;;;;;;,,,,,,::,,::::..................................::::,,,,;;ttffffEEEEKKKKKKKKKKKKWWWW##############WWWWWWWWKKKKEEKKKKKKGG
                ..EEKKKKKKEEGGjjttttiiLLKKKKKKKKKKEEjjiiii::..;;ttiiii;;;;;;;;;;,,,,::,,::::::::................................::,,,,,,;;ttffGGEEKKKKWWKKKKWWWWWW##WWWWKKWWWW##WW####WWKKWWKKKKEEKKDDGG
                ::EEKKKKEEDDLLttttiittGGKKKKKKKKKKGGtttttt::..,,tt;;ii;;;;;;;;,,,,,,,,::::::::..........................  ........::,,,,;;;;jjffEEKKWWKKWWKKKKWWWWWWWWKKWWWWWWWWWWKKDDjjiijjEEKKKKKKDDtt
                ;;KKKKKKDDDDjjttiiiijjKKKKKKKKKKKKGGttjjii::..;;ii;;;;;;;;;;;;;;,,,,,,,,::::::::..................    ..      ........::::,,;;jjDDKKWWWWKKWWWWWWWWWWWWWWWWWWWWWWKKLL;;,,::::ttEEKKKKEEtt
                ffKKKKEEGGLLttiiiiiiffKKWWKKKKKKKKGGLLtt,,....;;ii;;;;;;;;;;;;;;,,,,,,::::::::::::............          ..      ..  ........::;;ffEEWWWWWWKKWWWWWWWW##WWWWKKKKDDjj,,::::,,::::jjEEDDEEjj
              ::EEKKKKDDGGffttiiiittLLWWWWKKKKKKEEDDffii::::::ttii;;;;;;;;;;;;;;,,,,,,,,,,,,::::::::........                      ..  ........::;;ffKKWWWW##WWWWWWWWWWWWKKKKEEff,,::..,,iijj;;;;DDKKEEff
              iiKKKKKKGGLLjjiiiiiittDD##WWKKKKEEEELLjj,,....,,ttii;;;;;;;;;;ii;;;;,,;;;;;;;;;;;;;;;;;;::......                    ..        ....::;;jjEEWWWWWWKKKKKKEEGGDDEEKK;;::......;;jjjj,,GGKKEEff
              ffKKKKEEGGfftt;;iiiijjKK####WWKKKKDDffii,,....;;ttiiii;;;;;;iiiiiiiittjjffffLLffGGLLGGLLffii,,::..              ..              ....,,iijjEEWWKKKKKKKKDDKKKKWWLL::....  ..,,jjttiiDDKKEELL
            ..DDKKKKDDGGjjii;;;;iiffWW####WWWWEEDDtt;;::....ttttii;;iiiiiittjjjjGGDDEEEEKKEEEEffffjjffLLLLjjtt;;::..            ..              ....;;iiGGKKWWWW##WWWWWWWWEEtt  ....  ..;;jjttiiEEEEKKLL
            ,,KKEEKKDDLLttii;;iittDD########WWEELLtt,,::..,,jjjjttttttffffGGGGEEEEKKEEDDDDGGjjii,,,,::,,;;iittttii,,..                            ..,,ttjjGGEEWWKKWWKKKKEEDD,,  ....    ,,jjiittDDEEEEEE
            ffEEKKEEGGfftt;;;;iijjEE######WWEEDDff;;::....;;ffjjGGGGjjLLEEEEEEEEEEffffttjjttii;;;;,,,,::::..,,::,,;;;;,,..                          ::iiffffDDEEKKEEEEDDLLjj::          ,,tt;;ttGGGGDDDD
          ::EEKKKKDDGGjjii;;;;ttffWW######KKDDLLii,,::..::ffLLDDEEGGii;;ffEEDDLLjjttttjjttjjttttii;;;;,,,,,,::....::::,,,,::                      ....,,iijjjjffGGDDLLffjj,,::,,..      ::ii,,jjLLLLLLEE
          jjKKEEEEGGLLttii;;;;ttDDWW####WWDDLLtt;;::::..;;GGDDEEEEttii,,::jjjjiittjjffLLLLffjjjjjjtttt;;;;,,,,::::............                      ..::,,;;iittffffjjttii..::;;ii::..  ..,,,,ttjjjjffGG
        ..KKKKKKDDGGfftt;;;;iiffKK######KKDDjj;;::::....ffKKEEKKLLiiii;;..;;ttjjffGGGGDDGGDDLLLLffjjjjjjttttiiii;;;;,,,,....                      ....::,,,,;;ttjjttii;;::....,,ii;;,,::..,,,,jjttttttff
        ,,KKEEEEGGffffii;;;;ttLLKK####WWEELLii,,::....::EEKKKKDDffiitt::..,,jjffGGDDEEEEEEGGGGffffffffjjffjjffjjjjttii,,,,....  ..                  ..,,;;,,,,;;;;,,,,::....  ..,,;;ii,,..::,,ii;;;;ttjj
        ;;KKKKEELLfffftt;;iijjEEWW####KKGGff;;,,....  ttKKKKKKDDjjjj;;....;;jjGGDDEEEEEEDDDDGGLLffffffffffffffffffffjjtt;;,,::..  ..                ..,,;;;;,,;;::..........  ..::iitt;;..::,,;;,,;;;;tt
        ;;KKKKDDLLffffiiiittLLKKWW##WWEEGGii,,........GGWWKKEEffjjii::..::;;ffLLEEEEEEEEEEDDDDGGffffffjjffffffffffffLLjjii;;::....                  ..::iiii;;;;::..  ..::..    ::iitt::....,,,,,,,,;;;;
        ::KKKKDDLLLLjjiittjjGGKKWW##KKEEffii::......;;##WWKKLLfftt;;....::ttjjLLEEKKEEEEGGGGLLffffffjjffffffffffffffjjtt;;,,::......                ..::iitt;;;;::..  ..::,,....,,tt;;......,,,,::;;;;ii
        ..DDKKGGLLffttiittffEEKKWWKKEELLtt,,::......ff##WWGGfftt;;::....,,iijjffEEKKKKDDGGLLffffffffffffffffLLffffttii;;,,,,::....                  ..::iijjii,,::....  ,,;;,,,,ii,,........,,::,,,,,,;;
          DDKKDDLLjjttttjjDDKKWWKKEEGGLLii,,......,,KK##KKLLjjtt,,::..::::;;ttffGGKKWWWWKKEEGGGGLLLLffLLffGGGGffttiiii;;,,::........                  ..;;jjtt,,::::....;;tt,,,,::........::,,::,,,,,,;;
          ffEEGGLLttttttLLEEKKKKEEGGffjj;;......::ff##WWDDfftt;;::....::::,,;;iiffGGKKWW##WWWWKKKKKKKKKKKKKKGG;;;;;;;;,,::......                    ....;;jjjj,,::::....tt;;..      ......::,,::,,,,,,,,
          ffEEDDffjjttjjGGKKWWKKDDffttjj;;......,,KK##DDffjjii,,......::::,,;;;;iiffLLKKWWWWWW##WW######WWEEii;;;;;;,,::........              ..........,,jjjjii::::..;;tt,,..    ........,,,,,,::,,,,,,
          ttEEGGffttttffEEKKKKEEDDiitttt,,..::::ffWWEEjjttii,,..........::,,,,,,;;iijjffGGLLEEGGEEGGKKGGEEjj;;;;,,::::............        ..............::iijjtt;;..::;;,,....    ..::::::::::::::,,,,::
          iiDDDDffttjjGGKKKKKKKKffiittii::..::ttKKKKffjj;;,,::........::::::::,,;;;;iittttjjjjjjffffffjjjjii,,,,::::..............        ................;;jjttii,,..::....    ..::,,,,::::..::::,,::::
          ,,GGGGffttffDDKKKKEEDDjjiiii,,::::;;LLKKLLjjii,,::..  ........::::::,,,,,,;;;;;;;;iiiittiiii;;,,::::::::..........    ..          ..............,,tttt,,,,::  ..    ....::,,::........::::::::
          ::GGDDffffGGKKKKKKEEGGttii;;::::;;ffEEGGLLii;;::::..  ..........::::,,,,,,,,,,,,,,;;;;;;;;;;,,::::::..............            ..................,,;;ii,,,,,,........::....::........::..,,::::
            LLDDffffEEKKWWEEDDffii,,,,::,,jjEELLLLjj;;::::..  ..............::::::,,,,,,,,,,;;,,,,,,,,::::::..................          ....................,,;;;;::,,......,,::    ..  ........::::,,::
            LLEEGGDDEEKKKKEELLjj;;,,,,;;ttKKDDLLjjii,,::..................::::::::,,::,,,,;;,,;;,,,,::::::::................          ......................::,,,,::..::::;;,,..    ............::::,,::
            ffEEEEEEKKKKEEGGLLtt,,,,,,;;GGDDDDffii;;::..    ..................::::::,,,,,,,,;;,,,,::::::::..........                  ..........................::,,,,iijjii::      ..............::,,::
            GGEEEEDDEEKKEEGGjjii,,,,,,ffKKKKDDjj,,,,........::::....    ......::::,,,,,,,,;;;;;;,,,,::::............      ..          ............::..............;;jjffjj;;..    ........::......,,::::
          ..EEEEKKffGGEEEELLtt;;,,,,iiDDKKDDLLii,,::..  ..::::....        ..::::,,;;;;;;;;,,;;,,,,::::::::..........                ..  ..........................iiffjjjj,,..    ..............::::::::
          ,,EEKKKKGGGGGGDDffii;;,,;;LLKKEEDDjj;;,,,,......,,::....        ....::,,iiii;;;;;;;;;;,,,,::::............                  ..........................::iijjffjj;;....................::,,..::
          jjKKKKKKGGGGffGGffii;;;;jjEEEEDDffii,,::......,,,,::....    ....::::::::;;iiii;;;;;;,,,,::::............                  ....................      ..,,iijjjjttii,,..................::......
        ..EEKKKKKKKKDDffjjjjjjtt;;GGKKEEfftt;;::::......,,,,::..........::::::::::,,iittiiii;;;;,,,,::::............                  ......................  ..,,iittttii;;;;,,..............::::......
        ;;EEEEKKKKEEEEffttttjjjjffKKEELLjj;;,,::........;;,,::..  ................,,iittttttii;;,,::,,::::........                  ..  ................      ..,,iiii,,,,,,;;,,::..........::..........
        GGEEEEKKKKEEGGffjjii;;iiDDWWDDLLtt;;::::......,,;;,,::..      ............::iiiiiijjttii,,,,::::........                      ..............      ..  ..,,ii;;::..::,,;;,,::....................
      ,,EEEEEEEEEEGGffttttii;;jjKKEEGGjjii,,::......::;;;;,,::....      ..      ::,,;;,,;;iijjtt;;,,,,::........                      ..........              ..,,;;,,::....::,,,,::..............  ..  
      ffEEEEKKEEGGLLjjttiiiiiiDDKKEELLjj;;,,::......;;ii,,::::::..::..........::::;;,,,,,,;;iitttt;;,,::..::....                      ..............          ..::,,::........,,,,::......::............
    ..GGEEEEEELLLLffjjiiiiiiffDDEEGGffii;;::......::ttii,,::::::::::,,::....::::::::,,,,,,,,;;;;iiii;;::::......            ....    ..  ........  ..          ..::,,::........,,,,::..................  
      DDEEEELLffLLffttiiiittGGKKGGLLjjii,,::......LLGGtt,,::....::,,,,,,::,,::,,::,,,,,,,,,,,,,,;;iiii;;::::....  ..  ..      ....  ....                      ..::,,..........::,,,,..::............  ..
      ffKKLLjjjjffjjttiittLLEEDDLLjjtt;;::....  ;;EEKKEELLtt;;;;ttttii,,::::,,,,,,::,,,,,,,,,,,,,,,,;;iiii,,::........  ......  ......                        ....::............::::::::..  ......  ..  
      ffEEGGjjjjjjjjttjjLLEEGGGGffjjii,,::......;;KKKKKKKKKKDDGGGGGGLLtt;;;;;;;;,,,,,,,,,,,,::::::,,,,;;iiii,,::................  ....                        ....::......  ....::,,::::....  ..    ....
      ;;EEGGjjttjjjjffLLDDLLfffffftt;;::::....  ttKKKKDDKKDDDDLLLLLLffjjttiiii;;;;,,,,,,,,::::::::::::::,,iijj;;::....................                          ..::::........  ..::::....  ..      ..  
      ..GGDDjjjjjjffGGDDLLjjttfffftt,,,,........ffKKKKKKDDDDDDLLffffjjjjttttiiii;;;;,,,,,,,,::,,::::..::,,;;jjGG;;::....................                      ..  ......    ..  ....::..  ..            
        jjDDffttjjLLDDGGffttttjjffii,,::........ffKKKKKKKKLLDDLLLLffjjjjjjttttttttiiii;;;;;;;;,,,,,,;;ttjjffLLGGjj::::................                          ..........      ..........              
        ,,EELLjjjjGGEEDDffttiijjttii,,::........jjKKEEWWKKDDLLDDLLLLjjjjjjjjjjtttttt;;,,,,ii,,;;ffLLEEKKDDffttGGjj,,::......................              ..      ......          ..........            
        ..LLDDffLLGGEEGGLLjjttiiii,,::....  ....jjKKKKKKKKGGffffjjjjjj;;;;ttii::;;;;..  ..,,::::LLEEKKLLii,,iiffjj::::..............  ....                      ..........          ..  ..              
          jjDDDDGGDDEEEEGGjjiiii;;,,::..  ......ffKKKKKKKKDDjjjjii;;ii,,..,,,,....::......::,,iiDDDDjjii::,,;;jjtt::..................  ..            ..        ............  ............              
          ;;DDDDDDGGDDDDGGjj;;;;;;,,::..........EEKKEEEEKKEELLtt;;,,;;::....::........  ..;;ffffffii,,::::::;;iiii::......................                      ..................  ..  ..              
          ,,GGDDDDDDDDEEGGjj;;;;;;,,::......  ;;WWWWKKKKKKKKEEff;;;;;;,,....::::  ::,,,,;;LLLLjjii,,::::::,,,,;;;;::........................  ..  ....          ........................  ..  ..  ..    
            GGDDDDDDEEEEGGjj;;;;;;,,::........ttKKWWKKDDKKEEKKDDffttii,,::::,,::,,ttffffffjjii,,,,::..::::..::,,,,..........................  ......  ....      ..................................      
            jjEEDDDDDDEEGGffii;;,,,,::::......,,EEWWWWKKDDDDDDKKDDDDGGLLffLLffLLLLLLjjjjii;;,,,,::::::::....::,,::..........................  ..........  ..  ........  ............................  ..
            iiEEEEDDEEEEDDffttii;;,,,,::........GGKKWWEEDDDDDDDDDDLLDDDDDDLLLLLLjjtttt;;,,,,::......::......::::................................  ..            ..........................  ......      
            ,,DDEEEEEEEEGGLLjjtt;;,,::::......::ffKKWWKKDDDDLLDDLLDDDDDDLLGGLLffjjtt;;;;,,::......::::::..::::::............................  ......      ..  ....  ....................................
            ..GGEEEEEEEEDDLLjjtt;;,,,,..........jjDDKKKKEELLLLLLLLLLDDLLLLjjffjjttii;;,,::..::..::::::....::::....................................              ......................................  
            ..LLEEEEEEEEGGGGjjtt;;,,::::........iiLLEEKKEEDDffLLLLLLLLLLffffjjjjii;;,,::::::..::::::::....::................................  ..      ..      ......  ..................................
            ..jjEEEEEEDDDDLLfftt;;,,,,..........;;jjGGKKEELLLLffffjjffjjjjttttii;;,,::::::::::::::::........................................                ......      ..  ............................
              ;;EEKKEEEEDDGGfftt;;,,,,::........,,ttffKKEEDDLLLLffLLjjjjjjjjtttt;;;;,,::::::::::::::........................................      ..      ..  ......  ..  ............::::::............
              ,,EEEEEEDDDDLLffttii,,,,::........::;;jjDDKKLLLLffffffffjjjjjjjjttii;;;;,,,,,,,,::::..........................................                    ......  ..  ..............::::::::......
              ::DDEEEEEEGGGGfftt;;;;,,::........::,,ttGGDDLLffLLffffjjjjjjjjttttiiii;;;;,,,,::::......................::::::................          ..      ............................::::::::::::::
              ..DDEEEEDDGGLLffttii,,,,::..........::iiffDDffffjjjjjjjjttjjttttiiii;;;;,,,,::::......................::::::................                      ..  ............................::::::::
                GGKKEEEEGGGGffttii;;,,::....  ....::;;jjGGLLjjjjjjjjjjjjttttttttii;;;;,,::::::................::::,,::::::::....................  ..      ..  ............................::..::::::::,,
                GGEEEEDDGGLLjjtt;;,,,,::............,,iiLLLLjjttjjjjjjttttttttiiii;;,,,,::::..................::,,,,,,::::::......................  ..          ................................::::::::
                LLEEEEEEGGLLjjtt;;,,,,::....  ..  ..::;;jjLLjjjjjjjjttjjttttttttii;;,,,,::::..............::,,iiii;;,,,,::::::........................  ....  ............................::..::::::::,,
                jjEEEEDDGGffjjiiii,,,,::............::,,;;ttiittjjttttttttttttiiii;;,,::::..............,,ttjjjjttii;;,,,,::::..............................    ............................::..::::::::
                iiKKEEDDLLffjjttii;;,,::::......  ....::,,;;..::iittttttttttttii;;;;,,,,::::::::....,,iijjLLffjjttiiii;;,,,,::::..........................  ..............................::::::::,,,,,,
                ;;EEEEGGLLjjttiiii,,,,::::............::,,::    ..,,iittttjjttii;;,,,,::::::::..::iijjjjjjffffjjjjttii;;,,,,,,::............................  ..........................::..::::::::,,,,
                ::EEEEDDLLjjttiiii;;,,,,::::....  ....::::::          ::;;iittttii;;,,,,,,,,;;ttLLDDLLjjjjjjjjjjjjttiiii;;,,,,::::............::......................................::::::::::::,,,,,,
                ..GGEEDDLLjjttii;;;;,,::::..............::                    ......::..,,ttffGGEEDDLLjjttttjjjjjjttiiii;;,,,,::::......................................................::..::::,,,,,,,,
                  EEEEDDLLffiiii;;;;,,,,::::....  ........                              ::ffGGDDEEEEGGffttttiittttttttii;;;;,,::::::..............................................::::::::::::,,,,,,,,;;
                  LLEEDDGGjjtt;;,,,,,,::::........  ......                          ..iiLLLLGGDDEEEEDDffttiiiiiiiitttt;;;;;;,,::::::::::..........................................::::::::::,,,,,,,,;;;;
                  ffEEEEGGffttii,,,,,,::..................                      ::ttLLGGLLGGGGEEEEEEDDGGjjtt;;;;iiiiiiii;;;;,,,,,,,,::::::....................................::::::::::::,,,,,,,,;;;;tt
                  ttEEEEDDfftt;;;;,,::::::........  ......                  ::ttLLGGGGLLGGLLDDDDEEEEEEGGfftt;;;;;;;;ii;;;;,,,,,,,,::::::::::::::::..............................::::::::,,,,,,,,;;;;iiii
                  ;;EEEEDDLLttii;;,,::::::::................            ::jjLLDDDDDDDDDDGGDDDDEEEEEEEEEELLjjii;;;;;;;;;;;;;;,,,,,,,,::::::::..::::::..::......::......::..::::::::::::,,,,;;;;iiiitttttt
                  ,,EEEEEELLttii;;,,::::::..................        ::ttLLGGDDDDDDDDDDGGGGDDEEDDEEEEEEEEDDfftt;;,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::........::::..::::::::::::::::,,,,;;;;iiiitttttttt
                  ::DDEEEELLttii,,,,::::................::;;,,,,;;jjLLDDGGDDDDDDDDDDDDDDGGDDDDEEEEEEEEEEEEGGjjii,,,,::,,,,,,,,,,,,,,,,,,,,,,::::::::::::::::::::::::::,,::::::,,,,;;;;iiiitttttttttttttt
                  ..DDEEDDffttii,,::::..................,,jjffffGGLLGGGGDDGGDDGGDDGGGGGGDDDDEEEEEEEEEEEEEEGGffii;;,,::::,,::,,,,,,,,,,,,,,::::::::::::::::::::::::::::,,,,,,,,,,;;;;iiiitttttttttttttttt
                    GGEEDDGGttii,,,,::::::........::..::iiGGLLLLLLGGGGDDGGDDDDDDGGDDGGDDDDEEEEEEEEEEEEEEEEEEGGjjii;;::::::::::,,,,,,;;;;,,,,::::::::::::::::::::::,,,,,,,,;;;;iiiittttttttttttttttttiiii
                    GGDDEEGGjjttttiiii;;;;;;;;,,,,::::..ttGGLLLLLLLLGGLLGGGGGGGGGGGGGGGGDDDDEEEEEEEEEEEEEEEEDDfftt;;,,::::::::::,,,,;;;;;;,,,,,,::::::::::,,::::,,,,,,,,;;;;iiiittttttttttttttiittiiii;;
                  ,,ffEEGGGGGGffGGffffGGjjffjjjjjjtt;;;;ttDDGGLLLLLLLLGGGGGGGGGGGGGGGGDDDDDDDDEEEEEEEEEEEEEEDDGGjjii,,,,::::::::,,;;;;ii;;;;,,,,,,,,,,,,,,,,,,,,,,,,,,;;;;iiiittttttttttttttiittii;;,,,,
              ::;;ffEEEEEEffEEffEEjjGGffffffjjjjjjjjjjjjjjffGGLLLLffLLLLGGLLGGLLGGLLGGGGDDGGDDDDEEDDEEEEEEDDDDGGffii;;,,,,::::::,,,,;;iiii;;;;;;;;,,,,,,,,,,;;;;;;;;;;;;iiiittttttiittiiiiiiii;;;;,,,,,,
        ..;;ttffEEWWWWEEEEGGEEffGGffGGffffGGffffjjffjjjjjjffDDGGLLLLLLLLLLGGGGGGGGGGGGDDDDDDDDEEDDEEEEEEDDEEDDDDLLjjii,,,,,,::,,,,,,;;iiiiii;;ii;;ii;;;;;;ii;;;;;;iiiiiiiittttttiittiiiiiiii;;;;;;;;,,,,
      ,,ffffEEWW######EEEEjjEEffGGffGGffffffjjjjffjjffjjttjjEEGGGGLLLLffLLLLGGLLGGLLGGGGGGGGDDDDDDDDEEDDDDDDDDGGGGjjtt;;,,,,,,,,,,,,;;iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiittiiiiiiii;;;;;;;;;;,,,,,,::
  ..ffEEffEE########WWEEEEGGGGGGGGffffGGffGGjjffffjjjjjjttjjGGEEGGLLLLLLLLLLLLLLLLGGGGGGGGGGGGDDGGDDGGDDGGDDGGDDGGLLttii,,,,,,,,,,;;;;iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii;;ii;;;;;;;;,,,,,,,,
,,ffKKKKDDKK######WWWWEEKKGGGGGGGGffffffffffffjjffjjffjjjjttGGEEGGffLLffLLffffffLLLLGGLLGGLLGGGGGGGGGGGGGGGGGGLLGGLLjjii;;,,,,,,,,;;iiiiiiiiiiiittiittttttiittiiiiiiiiiiiiiiiiiiii;;;;;;;;;;;;,,,,,,,,,,
GGWWWWKKEEWW########WWWWEEWWGGEEffEEffGGjjGGjjjjffffjjjjjjjjGGKKGGGGLLLLffLLffffffLLLLLLLLGGLLGGLLGGGGGGGGGGGGGGLLGGffttii;;;;,,,,;;;;iiiittttttttjjttjjttttttttiiiiiiiiiiiiiiii;;;;;;;;,,;;,,;;,,,,,,,,
WWWWWWKKKKWW######WWWWEEEEEEGGGGffGGffffffffffjjffjjffttjjttGGEEEEGGGGLLLLffffjjffffLLffLLffLLffLLLLLLLLLLLLLLLLLLLLffjjii;;;;,,;;;;iiiiiittttttjjjjjjttjjttttiiiiiiiiiiii;;ii;;;;;;;;,,;;;;;;,,,,,,;;;;
WWWWWWWWWWWWWW######WWWWEEEEffEEjjGGjjGGffGGjjffffffjjjjjjttGGWWKKEEGGGGLLffffffffffffLLffffffffffLLffLLLLLLffLLffLLffjjttii;;;;;;;;iiiiiittttjjjjjjjjjjttjjttttiiiiiiiiiiii;;ii;;;;;;;;;;;;;;;;;;;;;;;;
##WW##WWWWKKWWWW##WWWWWWKKEEffGGffGGjjffjjffffjjffjjjjjjjjttGGWWWWEEEEffffffffffffjjffffffjjffjjffjjffffffjjffjjffjjffjjttii;;;;;;;;iiiittttttttjjjjjjttttttttttttiiiiiiii;;ii;;;;;;;;;;;;;;;;;;;;;;;;;;
WW######WWWWWW######WWWWEEWWGGEEffEEffGGjjGGffffjjffffjjjjttGG##WWWWEEEEffffffffffffffffffffffffffffffffffffffffjjffjjjjttttiiii;;iiiiiittttttjjjjjjjjjjttttttttiiiiiiiiiiii;;;;;;;;;;;;;;;;;;;;;;;;iiii
ASCIIBABES.COM########WWKKEEGGGGffffffffffffjjffffjjffjjjjttEE##WWWWKKGGGGffffjjffjjffjjffjjffjjffffffjjffffffjjjjjjjjjjjjttii;;iiiiiiiittttttttjjjjjjttttttttttiiiiiiiiii;;;;;;;;;;;;;;;;;;;;;;;;;;iiii