++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++#%@@@######%##**+++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++#@@@@@@@%####%@@@@#+++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++%@@@@@@%###%@@@@@@%++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++*@@@@@@%###@@@@@@%*++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++%@@@@@%###@@@@@%++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++%@%#***==*#%@@@*++++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++#%%%#%%#%%########%%%%##+++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++#@@@@#+=+@@@@@@@@@@%*###%%#*++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++#@#*%=%*#%@@@@@@%+*++==#%@%#+++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++#%%%#@*=-------=*@#@@%#@@@*+++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++%%*++=--==+--=#%%###%@%+++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++*%#*--------------=#*+##%%*++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++:=+++++++*%*+++++++++++***+-------*##*+++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++--+++++++++%@@@@%#########++++++++*%#%+++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++*%%####################*%*+++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++#@%#++++++++++++*#%%#############%%%%#+++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++%*%*+++++++++++++*-:=%##+#*.:=+@@@@#++++++++++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++%#%*+++++++++++#%@*=+@%=:+@@@@@%@@@@##+++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++*=%+++++++++#%%%@*%@%@%###:.-%%%%@**###*++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++#*+#*+++++*%%%@@*##-:-***:..%@@@%#%***###+++++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++%*%%*++++*@%@@@*...+-....=#%@@@%%%*##*##+++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++*#*+*%#+++%%%#@@%-.......=**@@@%##*%@@@%@*++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++*#*####*+*@#%*@@@%=.-:.:%***@@#*#**%@****%++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++##+%#%@#+@###%%@@%#*:=%*****@@#*#%@@@*****%+++++++++++++++++++++++++++++++
++++++++++++++++++++++++++#%*#*+=*%%%%@%%@@**%###*****@@#%%%%%@%****@*++++++++++++++++++++++++++++++
+++++++++++++++++++++++++++##+++%%@%#%@#@@%**%%#******#%%%%**%@@#***%%*+++++++++++++++++++++++++++++
++++++++++++++++++++++++++++%@@@@@%#%@@#@@@**%#*******#@#*%**#@+@%***##+++++++++++++++++++++++++++++
++++++++++++++++++++++++++++*@@@%*#%@#%#@@%**%********#%@%%***%@+@****%*++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++#%*#@%**%#@@%**%********%%@@%#+*%@+@#****@*+++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++*%@@%***%++*******#%@@%**#%@*@#***@*+++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++#%@@%***%%********#%@@%%**%%%%%##@@@#++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++%@@@@#**%@@*****#%%%@@%%**%@%@@@#@@@%++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++#%@@@@@@%@%%@%*%@####%%@%%@%*%@**###%@*+++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++%%@@@@%@@@%##%@@%######%@@#%%#%%@#*#*#*+++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++*%%@@@%#%@@@%%###########%@%#+#%@*+*=+*%+++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++%*@@@%###%%%@@@@@%@#######%%#+*##+@%*%%%+++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++*#%@@@%#####%@@@@@@%%#######@@+*#%%%###%#+++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++*%#@@@@@%###%@@@@@@@@@%######%@@***%%@@*%++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++%#@@@@@@@%##%@@@@@%%%@%#####%%@@@#*%%@@*%++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++#%%%%%%##@%##@@@@@%%%%@@%###%@@@@@*%%%@%%++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++%@***+++++@%##%@%******#%%###%@@****%@@%%++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++#%##%@*+++++++#%####%#+++++%#%++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++++++++++#@@%%%++++++++#%###%#+++++%#%++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++*%#%@#+++++++++@%%%%*++++%#%++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++*%=+*#@#++++++++*@%*+#%*+++%@%++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++++++++*##*#*++==*%@%%*********##+--+#*++%%%++++++++++++++++++++++++++
+++++++++++++++++++++++++++++++*%%%@*+==#*==%@@@@@@@@@@@@@@@*#%@%***#@@%@%%+++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++@@@+*#@#%@@@@@@@@@@@+=-=@@@@@@=#@+-#@*++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++*###++++++#**#%%++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++
++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++

++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++++++#%@@@######%##**+++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++#@@@@@@@%####%@@@@#+++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++++++%@@@@@@%###%@@@@@@%++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++++++*@@@@@@%###@@@@@@%*++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++%@@@@@%###@@@@@%++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++%@%#***==*#%@@@*++++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++#%%%#%%#%%########%%%%##+++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++#@@@@#+=+@@@@@@@@@@%*###%%#*++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++#@#*%=%*#%@@@@@@%+*++==#%@%#+++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++#%%%#@*=-------=*@#@@%#@@@*+++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++%%*++=--==+--=#%%###%@%+++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++*%#*--------------=#*+##%%*++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++:=+++++++*%*+++++++++++***+-------*##*+++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++--+++++++++%@@@@%#########++++++++*%#%+++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++*%%####################*%*+++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++#@%#++++++++++++*#%%#############%%%%#+++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++%*%*+++++++++++++*-:=%##+#*.:=+@@@@#++++++++++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++%#%*+++++++++++#%@*=+@%=:+@@@@@%@@@@##+++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++*=%+++++++++#%%%@*%@%@%###:.-%%%%@**###*++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++#*+#*+++++*%%%@@*##-:-***:..%@@@%#%***###+++++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++%*%%*++++*@%@@@*...+-....=#%@@@%%%*##*##+++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++*#*+*%#+++%%%#@@%-.......=**@@@%##*%@@@%@*++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++*#*####*+*@#%*@@@%=.-:.:%***@@#*#**%@****%++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++##+%#%@#+@###%%@@%#*:=%*****@@#*#%@@@*****%+++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++#%*#*+=*%%%%@%%@@**%###*****@@#%%%%%@%****@*++++++++++++++++++++++++++++++ +++++++++++++++++++++++++++##+++%%@%#%@#@@%**%%#******#%%%%**%@@#***%%*+++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++%@@@@@%#%@@#@@@**%#*******#@#*%**#@+@%***##+++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++*@@@%*#%@#%#@@%**%********#%@%%***%@+@****%*++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++#%*#@%**%#@@%**%********%%@@%#+*%@+@#****@*+++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++*%@@%***%++*******#%@@%**#%@*@#***@*+++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++#%@@%***%%********#%@@%%**%%%%%##@@@#++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++%@@@@#**%@@*****#%%%@@%%**%@%@@@#@@@%++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++#%@@@@@@%@%%@%*%@####%%@%%@%*%@**###%@*+++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++%%@@@@%@@@%##%@@%######%@@#%%#%%@#*#*#*+++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++*%%@@@%#%@@@%%###########%@%#+#%@*+*=+*%+++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++%*@@@%###%%%@@@@@%@#######%%#+*##+@%*%%%+++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++*#%@@@%#####%@@@@@@%%#######@@+*#%%%###%#+++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++*%#@@@@@%###%@@@@@@@@@%######%@@***%%@@*%++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++%#@@@@@@@%##%@@@@@%%%@%#####%%@@@#*%%@@*%++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++#%%%%%%##@%##@@@@@%%%%@@%###%@@@@@*%%%@%%++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++%@***+++++@%##%@%******#%%###%@@****%@@%%++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++#%##%@*+++++++#%####%#+++++%#%++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++++++++++#@@%%%++++++++#%###%#+++++%#%++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++*%#%@#+++++++++@%%%%*++++%#%++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++*%=+*#@#++++++++*@%*+#%*+++%@%++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++++++++*##*#*++==*%@%%*********##+--+#*++%%%++++++++++++++++++++++++++ +++++++++++++++++++++++++++++++*%%%@*+==#*==%@@@@@@@@@@@@@@@*#%@%***#@@%@%%+++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++@@@+*#@#%@@@@@@@@@@@+=-=@@@@@@=#@+-#@*++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++*###++++++#**#%%++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++ ++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++++