⣿⣿⣿⡿⠟⠛⠛⠛⠛⠿⣿⣿⣿⣿⡿⠟⠛⠛⠛⠛⠻⣿⣿⣿⣿
⣿⡿⠉⠰⠾⠿⢋⣠⣄⠀⡈⠻⡿⠋⣀⢀⣤⣬⢛⣡⣄⢀⠙⢿⣿
⡏⢀⢠⣾⣿⣶⣿⣿⣿⡇⠿⠆⢀⣾⠿⠘⣿⣿⣿⣿⡿⣸⣧⠈⣿
⠁⣸⡈⠿⣿⣿⣿⣿⠟⡀⣴⣷⣦⣡⣶⣦⡈⠻⠟⠋⣐⠻⣿⠀⢸
⡄⢸⣿⣶⣌⠙⠻⠋⣼⣧⠻⣿⣿⣿⣿⡿⣱⢓⣨⣸⣿⡇⣿⠀⢸
⣇⠈⡟⣉⣴⡷⠁⣠⣌⠻⡷⢌⠻⠟⠁⠶⣿⡘⠿⠿⠿⠇⠟⢀⣿
⣿⣦⠀⢹⣛⣃⠸⣿⣿⣧⣶⣦⠠⡆⣾⣿⣮⣤⣤⠐⣶⠆⢀⣿⣿
⣿⣿⣷⡄⠙⢿⣆⢻⣿⣿⡿⠏⠘⠃⠙⣿⣿⣿⠟⠀⠁⣰⣿⣿⣿
⣿⣿⣿⣿⣷⣄⠙⠂⡥⢀⣤⣠⣿⣿⠀⡌⣋⠄⢀⣴⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣷⣤⡀⠘⠿⣿⣿⠏⣼⠟⢁⣴⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠐⢶⣬⠀⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⠢⠤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡞⠀⠀⠀⠉⠳⣄
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡉⢉⣉⣉⣙⡲⢥⡢⣀⡬⠇
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣟⣉⠄⢀⠀⠉⠳⣝⢯
⠀⠀⠀⠀⠀⠀⠀⠀⡏⠲⠤⠽⠀⠀⠀⠀⢹⣈⡇
⠀⠀⠀⠀⠀⣀⠀⠀⠳⣌⠒⠤⠤⠔⢀⣠⠟
⠀⠀⠀⠐⠳⠾⣦⣠⠶⣽⡙⠓⢖⢛⣩⠗⢦
⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⢧⠀⠈⠻⣄⠀⢨⣷⠤⢤⡴⣆
⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠈⢧⣠⣠⣚⠟⠀⢈⡇⠀⠁⠈
⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠉⠚⠛⠀⢀⡼⠁
⠀⠀⠀⠀⠀⠀⢀⠔⠋⠓⠦⢤⣤⣤⠤⠖⠋⠓
⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄
⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇
⠀⡤⠶⠒⠒⠶⣝⣦⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠛⠉⠉⠲

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⠢⠤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡞⠀⠀⠀⠉⠳⣄
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡉⢉⣉⣉⣙⡲⢥⡢⣀⡬⠇
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣟⣉⠄⢀⠀⠉⠳⣝⢯
⠀⠀⠀⠀⠀⠀⠀⠀⡏⠲⠤⠽⠀⠀⠀⠀⢹⣈⡇
⠀⠀⠀⠀⠀⣀⠀⠀⠳⣌⠒⠤⠤⠔⢀⣠⠟
⠀⠀⠀⠐⠳⠾⣦⣠⠶⣽⡙⠓⢖⢛⣩⠗⢦
⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⢧⠀⠈⠻⣄⠀⢨⣷⠤⢤⡴⣆
⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠈⢧⣠⣠⣚⠟⠀⢈⡇⠀⠁⠈
⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠉⠚⠛⠀⢀⡼⠁
⠀⠀⠀⠀⠀⠀⢀⠔⠋⠓⠦⢤⣤⣤⠤⠖⠋⠓
⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄
⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇
⠀⡤⠶⠒⠒⠶⣝⣦⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠛⠉⠉⠲

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⠢⠤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡞⠀⠀⠀⠉⠳⣄
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡉⢉⣉⣉⣙⡲⢥⡢⣀⡬⠇
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣟⣉⠄⢀⠀⠉⠳⣝⢯
⠀⠀⠀⠀⠀⠀⠀⠀⡏⠲⠤⠽⠀⠀⠀⠀⢹⣈⡇
⠀⠀⠀⠀⠀⣀⠀⠀⠳⣌⠒⠤⠤⠔⢀⣠⠟
⠀⠀⠀⠐⠳⠾⣦⣠⠶⣽⡙⠓⢖⢛⣩⠗⢦
⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⢧⠀⠈⠻⣄⠀⢨⣷⠤⢤⡴⣆
⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠈⢧⣠⣠⣚⠟⠀⢈⡇⠀⠁⠈
⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠉⠚⠛⠀⢀⡼⠁
⠀⠀⠀⠀⠀⠀⢀⠔⠋⠓⠦⢤⣤⣤⠤⠖⠋⠓
⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄
⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇
⠀⡤⠶⠒⠒⠶⣝⣦⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠛⠉⠉⠲

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⠢⠤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡞⠀⠀⠀⠉⠳⣄
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡉⢉⣉⣉⣙⡲⢥⡢⣀⡬⠇
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣟⣉⠄⢀⠀⠉⠳⣝⢯
⠀⠀⠀⠀⠀⠀⠀⠀⡏⠲⠤⠽⠀⠀⠀⠀⢹⣈⡇
⠀⠀⠀⠀⠀⣀⠀⠀⠳⣌⠒⠤⠤⠔⢀⣠⠟
⠀⠀⠀⠐⠳⠾⣦⣠⠶⣽⡙⠓⢖⢛⣩⠗⢦
⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⢧⠀⠈⠻⣄⠀⢨⣷⠤⢤⡴⣆
⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠈⢧⣠⣠⣚⠟⠀⢈⡇⠀⠁⠈
⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠉⠚⠛⠀⢀⡼⠁
⠀⠀⠀⠀⠀⠀⢀⠔⠋⠓⠦⢤⣤⣤⠤⠖⠋⠓
⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄
⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇
⠀⡤⠶⠒⠒⠶⣝⣦⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠛⠉⠉⠲

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