⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⡴⠶⠶⠖⠛⠶⠲⠶⠶⠦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠋⠘⠁⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠙⠂⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⢀⠀⠀⠀⢸⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣿⣇⠀⠀⠀⠀⡄⠀⠘⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⢠⠏⠀⠀⠀⢻⣿⡿⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⢤⡀⠀⠀⠀⢿⣿⠟⠀⠀⠀⠀⠸⡄⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⢠⡟⢀⠤⠄⠢⠤⢄⠀⠀⠀⠀⠀⠹⠷⠶⠛⠓⠶⠾⠃⠀⠀⠀⠀⢀⠤⠒⠒⠒⠤⡀⢿⠀⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⢸⡇⢀⡀⠀⠀⠀⣨⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣀⣀⠀⠀⣀⠀⢺⡇⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠸⣷⡀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢶⣄⠀⠀⠀⠀⠀⣀⣴⡿⠁⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⡶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠛⢿⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣿⠁⠀⠙⣷⣤⣴⠶⠟⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⣦⡀⠀⠀⠀ ⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣴⡾⠉⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣯⠀⠀⠀⠘⠏⢿⡄⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣄⠀ ⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⣼⡏⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠈⣿⡀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆ ⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⢠⡿⠷⣶⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇ ⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⠋⠀⢰⡏⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠙⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⡟⠀ ⠀⠀⠙⠻⢶⣦⣤⣤⣤⣤⣴⠶⠟⢿⡇⠀⠀⠸⣧⣄⣀⣾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠈⠛⠷⣦⣤⣤⣤⣤⣴⠶⠟⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠉⠉⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⠶⣤⣤⡤⢾⣇⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢨⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣤⣴⠟⠛⠒⠶⠶⠶⠤⠶⠶⠶⠖⠚⠻⢷⣤⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠾⠷⠲⢾⡿⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⠶⢶⣶⠆⣰⣿⣁⣀⣀⣀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣞⠁⠀⠉⠉⠉⠉⠉⠉⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣄⣀⣀⣀⡀⠸⠿⠷⠾⠶⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣴⠿⠛⠉⠉⠉⠁⠈⠉⠉⠉⠛⠻⢶⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠾⠛⣽⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠙⠳⣦⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡾⠃⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢁⠀⠀⠀ ⠀⠀⠀⢀⡾⠁⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠘⡆⠀⠀ ⠀⠀⣰⡿⠁⠀⣼⡇⠀⠀⢶⣀⣀⣀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣦⣀⣀⣠⡴⠀⠀⠸⣷⠀⠈⣿⠀⠀⠀ ⠀⣼⠏⠀⠀⠀⢿⡆⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⣤⣤⡀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⢰⡿⠀⠀⠀⠱⣦⡀ ⢰⡏⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⢹⣞ ⢸⣇⠀⠀⠀⠀⠀⠀⠙⠻⣶⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣶⠟⠋⠀⠀⠀⠀⠀⠀⢹⡇ ⠀⢻⣆⡀⠀⠀⠀⠀⣠⡾⠏⠀⠈⠉⠉⠉⠛⠙⠛⠛⠋⠛⠙⠋⠉⠉⠉⠁⠀⠙⢷⣄⡀⠀⠀⠀⢀⣠⡿⠀ ⠀⠀⠈⠛⠛⠞⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠾⠛⠛⠉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⡤⡤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠈⠉⠿⣦⣤⠶⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⢋⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡇⠀⠀⠙⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠉⠓⠦⣤⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⡄⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀ ⠀⠀⣠⠞⠁⠀⠀⣀⣠⣏⡀⠂⢠⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⡃⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆ ⢀⡞⠁⠀⣠⠶⠛⠉⠉⠉⠙⢦⡸⣿⡿⠀⠀⠀⡄⢀⣀⣀⡶⠀⠀⠀⢀⡄⣀⠀⣢⠟⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃ ⡞⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⢳⢀⣠⠀⠀⠀⠉⠉⠀⠀⣀⠀⠀⠀⢀⣠⡴⠞⠁⠀⠀⠈⠓⠦⣄⣀⠀⠀⠀⠀⣀⣤⠞⠁⠀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠁⠀⢀⣀⣀⡴⠋⢻⡉⠙⠾⡟⢿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠉⠉⠀⠀⠀⠀ ⠘⣦⡀⠀⠀⠀⠀⠀⠀⣀⣤⠞⢉⣹⣯⣍⣿⠉⠟⠀⠀⣸⠳⣄⡀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠒⠒⠒⠒⠚⠋⠁⠀⡴⠋⢀⡀⢠⡇⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⢀⡾⠋⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠉⠋⠻⣄⠀⠀⠀⠀⠀⣀⣠⣴⠞⠋⠳⠶⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠦⢤⠤⠶⠋⠙⠳⣆⣀⣈⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⢴⠲⣌⠧⡛⢦⡙⣖⢲⡒⢦⡹⠭⣭⣙⢲⠲⡤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⢺⡹⣌⠳⣍⠳⣌⢳⡙⢦⡙⢦⡓⣜⠣⡞⣱⠲⣌⠧⣛⠴⢣⢞⡹⢲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⣶⣶⣤⣄⣀⠀⠀⠀⠀⣠⢶⡙⣇⢫⠖⣱⢊⡗⡬⢳⣌⠳⣜⢣⡙⢦⡹⣌⢳⡩⢖⡭⢲⡙⣆⢏⠳⣌⠳⣍⠶⣩⢗⡤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⡾⠛⠉⠀⠀⠀⠉⠛⢷⣦⣰⢞⡱⢎⡵⢊⡗⣪⠕⣣⢎⡵⢣⢎⡳⣌⠧⣙⢦⠳⣌⠧⣙⢦⡙⢦⡹⡔⣎⠳⣌⠳⣜⢪⠕⡎⢶⡙⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣷⣭⣒⢎⡳⠜⣥⢚⡥⣚⢬⢓⡎⡵⢪⠵⣩⢎⠳⣌⢳⡩⢦⡙⢦⠳⡜⣬⠳⣌⠻⣤⢋⢮⡙⢦⡹⢜⡹⣢⡀⠀⠀⠀⠀⠀⠀ ⣿⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣮⡱⣋⠶⣉⠶⣩⠲⣍⢲⡹⣌⠳⢦⡍⡳⣌⠳⡜⣥⢛⡬⣓⡹⡔⡳⣌⠳⣆⢏⡲⣙⢦⡙⡎⡵⣡⢛⣄⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣯⣲⣙⢦⢋⡖⣙⣮⣡⣛⣦⣜⣱⣧⣽⡶⠷⠿⠾⠷⠿⢷⣧⣧⣝⣦⠹⡜⣣⠝⡬⣓⠵⣃⢏⠞⡹⢆⠀⠀⠀⠀ ⠹⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⠛⠛⠛⠛⠛⣻⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⢷⣧⣞⡱⣍⢮⠱⣎⡹⡱⣋⢦⠀⠀⠀ ⠀⠘⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⠛⠛⠿⢶⣵⣣⡍⣎⣇⠀⠀ ⠀⠀⠀⠙⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠈⠙⢷⣾⣼⡆⠀ ⠀⠀⠀⠀⢸⡝⣻⢿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠈⠛⢿⡄ ⠀⠀⠀⢀⡯⡜⣥⢚⡼⢹⠻⡿⢿⣶⣶⣤⣴⣤⣴⣶⣶⣿⠏⠀⠀⠀⢀⡮⣍⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡱⣍⠲⡭⢜⢣⡛⣜⡱⢪⡜⣥⢫⡜⡱⢎⣼⣿⠀⢀⣀⣀⡘⢷⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡛⢷⡀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡕⣎⠳⣥⢋⠶⣉⠶⣉⠗⡼⡰⣃⢞⡱⣋⠼⣿⡸⡹⢌⣣⠹⡱⡆⠀⠀⠀⠀⢀⡶⢀⣀⠀⢠⣄⠀⠀⠀⠀⠀⢧⡝⡾⠁⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠞⣌⠳⡆⢏⢮⡱⢣⡝⣪⠵⣱⢩⢎⡕⢮⡹⢽⣷⣕⡓⠦⠽⠕⠃⠀⠀⠀⠀⠀⠛⠉⠉⠛⠶⠋⠁⠀⠀⠀⠀⣠⠞⣖⠲⢦⢄⡀⢠⣿⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠸⣏⡜⣣⠝⡎⢶⣉⠧⡜⣥⢚⡥⣚⠬⢎⡳⠜⣦⢋⡟⡿⣶⣦⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣍⣲⡙⢎⢎⣵⣾⡗⡻⢿⣶⣄⡀⠀ ⠀⠀⠀⠀⣷⢸⡱⢎⡝⡲⣌⠳⣍⠶⡩⢖⠭⣚⠥⡳⣙⠦⣋⠶⡱⣣⣿⠿⠿⢿⣟⠻⠿⠶⢶⣶⣤⣤⣤⣤⣤⣤⣤⣄⣠⣤⣤⣤⣬⣶⣿⡟⢧⡙⢖⡣⢞⡹⢿⡇ ⠀⠀⠀⠀⢹⢦⡹⢜⡸⣑⢎⡳⢜⡪⣕⡋⣞⣡⢛⡴⢃⡳⢍⣚⢵⣿⠁⠀⠀⣬⡿⠀⠀⠀⠀⠀⠀⠀⠈⠉⢉⣽⠟⠋⠉⠀⠈⠉⠛⢿⣦⡙⢦⡙⢮⣑⢫⡜⣹⠀ ⠀⠀⠀⠀⠈⣧⢣⢏⡲⣍⢲⠹⣌⠳⡴⣙⠴⣡⢏⡴⢫⡜⣣⠞⡜⣿⣦⣀⠀⢁⡦⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⣠⣾⠶⢶⣌⢻⣎⢧⡙⢦⡙⡖⣜⠇⠀ ⠀⠀⠀⠀⠀⠘⡧⢎⡵⡌⢧⢫⢜⡣⡕⡎⢧⡓⡼⢌⡳⢬⡱⢎⡵⢪⡝⣻⢿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⡯⠆⠀⠀⢻⡆⣿⢦⡙⣦⠹⣜⡜⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣧⢲⡙⢮⡱⢎⡖⡹⡜⡱⢎⡵⢫⡔⣣⠧⣹⢰⢣⠞⣡⢞⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⠀⠀⠀⠈⠻⠅⠀⠀⣸⢧⡿⢎⡵⢊⡵⡞⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢦⡝⢦⢓⠮⣜⡱⢎⡵⢋⡴⢣⠞⣡⠞⡥⢎⣣⢛⡴⢋⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⣀⣴⣿⡿⣙⠮⣔⢫⠞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢵⣊⠞⡴⣩⠳⣌⠧⣚⡕⢎⠶⣩⠖⡱⢎⡹⣌⠳⣜⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢶⣤⣤⠶⠟⣻⣿⠣⢏⡴⣙⠞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣙⠶⣡⠳⣌⢳⢱⢪⡙⣎⠵⣊⠷⡩⢖⣩⠳⣌⢧⢛⡿⣶⣤⣀⡀⠀⢰⣤⣤⣶⢶⢿⡛⢯⠽⣷⠾⣏⠧⡛⣜⡴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣥⢛⡬⢎⡣⢧⡙⢦⡛⣌⢳⡙⣎⠴⣋⠖⣎⠳⣜⡩⣿⣄⣀⣤⡾⣏⠳⡜⣎⠶⣙⢎⡞⡴⢋⡜⣲⡽⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢜⣣⠵⣊⡝⢦⡹⢌⢧⡚⣬⠳⣌⢏⡜⢳⣌⠳⣜⢻⡛⣭⢚⣌⢳⡱⢎⡵⢊⡞⠴⣩⣳⠜⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠧⣚⡕⠮⣍⠖⣭⢒⡭⢜⡪⣜⢣⣌⠳⡜⢦⢓⢦⢋⡖⢣⢎⡇⢞⣱⡮⠗⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠪⠽⣢⣝⡸⢎⡱⢎⠶⣌⢳⡹⢜⡪⢎⢳⣘⠧⠾⠘⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠈⠑⠈⠃⠈⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⠒⣄⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠒⠒⠒⠒⠚⠲⠤⠀⠀⠧⢄⣈⣹⡒⠒⠒⠒⢆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⡦⡀⠀⠈⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⢊⠀⠀⠀⠀⡠⠒⠉⠑⠐⠂⢤⠖⠒⠒⠢⠀⠹⡙⠒⠒⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⡴⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠏⠁⣠⡠⠖⠊⠉⠉⠉⠉⠉⠉⠉⠓⠒⠦⣄⣱⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡴⡶⠁⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠈⣧⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡤⠒⠉⠀⠀⠀⠀⠀⢹⣶⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠋⢆⡀⠀⠀⠀ ⡠⠒⣉⠁⠀⠀⠀⠀⡰⠐⠂⢢⠀⠉⠀⠀⠀⠀⠀⠀⠈⠀⡠⠤⠤⣄⠉⠲⢄⡀ ⠱⠄⠈⠄⠀⠀⠀⠀⣿⠒⠒⢩⠒⠂⠀⠀⠀⠀⠀⠀⠀⢱⠓⠒⡖⠋⠀⠀⠀⠈ ⠀⠁⡀⠀⢁⠀⠀⠀⣿⣀⠀⠈⠓⠒⠉⠉⠉⠉⠉⠉⠉⠁⠀⣀⣿⠀⠀⠀⠀⠀ ⠀⠀⠗⡀⠀⡃⠀⡰⠁⠉⠛⠛⠛⠛⠛⠋⠛⠛⠛⠭⠿⠿⠛⠛⠣⡀⠀⠀⠀⠀ ⠀⠀⡃⢣⠀⡓⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢢⣀⠀⠀ ⠤⠴⠥⠂⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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