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⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠉⠈⠁⠁⠉⠁⠉⠉⠀⣡⢋⡼⣉⣭⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⡾⠁⠀⣠⣺⢞⡟⠂⠑⠈⠈⠙⣿⣆⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣯⣿⣽⣿⣽⣶⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⣠⣞⣷⣋⢤⣀⡀⠀⠀⠀⠀⠈⣿⣆⠀⠀⠀⠀⠀⣰⣿⣿⡿⠁⠒⠾⢿⣿⣷⣷⡖⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠠⢢⣳⡿⠏⠱⣖⣊⣿⣿⠀⣦⣤⣤⡄⣿⡟⡄⠀⠀⠀⢀⣿⣿⠏⠀⠀⠀⠀⠀⠉⠻⣿⣿⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡄⢀⣞⣿⠏⠀⠀⠀⠉⠉⠀⠀⢻⣿⣻⣽⣾⠏⣱⠈⠑⠀⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣷⣸⣾⣏⠸⡀⠆⣀⠶⢱⣀⠀⠀⠈⠉⠹⡿⡰⡸⠀⠀⠀⣿⡇⣶⣶⣆⡀⠀⣀⣶⣶⠶⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢜⣧⣿⡇⢥⡙⢼⣷⢤⣤⣙⡻⢁⠤⣐⢲⢷⣡⠁⠀⠀⠀⢿⠘⣿⣿⣿⠟⠀⠹⣿⣿⡿⠃⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠎⣿⣿⣆⡍⡂⢄⠲⢵⣝⡿⣯⣷⣯⣟⡷⡆⠀⠀⠀⠀⢸⡄⠀⠉⠁⠀⠀⠀⠈⠉⠀⠀⠈⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⠀⣿⢀⠹⢿⡻⣾⡵⣎⣞⡶⣬⣝⣳⣿⣿⣞⢳⣃⡀⠀⠀⠀⠘⣆⠀⠀⠀⢦⡤⠆⠀⠀⠀⠀⡄⠀⠀⠰⠇⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⡠⠂⠀⠀⠀⠀⠀⢂⠀⠽⣰⠹⣇⡙⠽⣿⣿⣿⣿⣿⣿⣿⣿⡷⣯⡇⡗⢣⠀⠀⠀⢠⠘⣥⠳⢶⡶⢾⡖⡶⠄⠀⡐⠀⠀⠀⣠⢀⡄⠀⡀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠃⠈⠀⠀⠀⠀⠀⠀⠀⠂⠁⣸⢢⠕⡘⢖⠣⡘⣻⣿⣿⣿⣿⣿⣯⡿⢡⣷⢰⡄⠀⠀⠀⠸⡀⢨⣿⣄⠛⠓⠊⢀⣠⠎⠀⠀⠀⠀⠉⠀⠁⠁⠘⠄⠀⠀⠀⠀⠀⠀⠀⠄⠀ ⣠⡞⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢱⣎⢥⠙⣕⡙⢆⡹⣿⣿⣿⣿⡏⡴⡿⡱⣆⡎⣬⠀⠀⠀⠹⣷⡟⢿⣿⣿⣶⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢤⠀⠀⠠⡼⣿⣤⣛ ⡿⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⡁⠀⣷⣫⠣⠘⣌⠢⠁⠘⠩⣞⣽⢂⢳⠅⠘⡣⡸⣯⡄⠀⠀⠀⠀⠁⠈⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⢰⢃⠟⠛⠻ ⠟⠁⠀⢀⢠⠃⠀⠀⠀⠀⠀⠀⠀⢈⠁⠸⢥⢳⡇⡌⠣⡑⢄⠃⣫⣿⠞⡄⢣⢌⢆⢵⣳⣌⠂⠄⠀⠀⠀⠀⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀ ⠀⠀⣠⡟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢅⠸⣬⡀⡈⢪⣢⠀⠹⣧⢩⣠⡱⣢⣞⡇⠳⣍⠆⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀ ⣄⣴⣟⡷⣄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡀⠐⠈⠻⣧⢁⠌⠳⡀⣘⣧⢿⡽⣷⡻⠀⠈⢈⡣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣹⡾⣷⣹⡸⠀⠀⠀⠀⠀⠀⠆⢀⠀⠀⠀⠀⠰⠈⠀⠈⢏⣷⡀⠎⢹⢾⣶⢿⣏⣿⣷⣀⠀⡇⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣳⢿⣳⣯⠗⠂⠀⠀⠀⠀⠀⠀⢢⢌⠀⠀⠀⠀⠐⢀⠀⠔⣩⢳⣄⠀⠞⣿⣷⣝⠺⢽⣻⣷⣥⠱⡏⠀⠀⠀⠀⠀⠀⡠⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣽⣻⣽⡎⢤⢵⣶⣦⢀⠠⠁⠀⠑⡡⡦⣍⠀⢄⠑⢠⠜⢀⡀⢫⠽⣦⣡⣹⡿⠟⣻⣶⢮⣱⢿⠀⠬⡅⠂⠀⠀⠀⠈⠅⢀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠓⠿⠷⣼⣳⣿⣔⣉⠡⣡⡒⣢⢮⢞⣜⣆⡊⢀⠀⡐⢤⠵⣡⣂⠱⡙⣷⣿⠥⢀⠀⡈⢛⠿⣿⠀⢂⢽⢠⠂⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠀⠀⠉⠉⠘⠫⠽⢷⣦⣅⢑⠚⠈⠛⡕⠦⡡⠦⣢⠣⣩⢶⠁⠆⣦⢹⡇⠂⠄⢠⡉⣞⢿⣇⠀⠀⢋⠄⣀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⢁⠎⠢⠀⠀⠈⠙⠲⢤⣄⣈⠭⢶⣀⡁⠾⡝⡍⡳⡸⡐⣵⡏⡜⢀⠂⡜⡜⣿⣿⣆⣠⣿⡦⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣐⣻⣤⡠⣼⡇⢆⢮⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⡪⡹⢧⠄⢊⢈⢠⢛⢾⣿⣟⡔⠂⡐⢠⢏⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀ ⠋⠉⠁⠀⠀⠙⠻⣼⣧⡂⠄⠠⢀⠀⠀⢀⠀⢠⡀⠁⠐⡣⣣⣄⣰⣷⠿⠛⢉⣀⠀⠒⠊⠐⠋⠉⠛⠻⢿⠿⠿⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠂⠀⠀⠁⢿⢻⣷⡈⠔⡠⣉⢦⢩⣎⠄⡛⣵⣴⠻⡿⠝⠁⣐⠠⠻⠛⣲⣄⡀⠀⠀⠀⠀⠀⢀⢀⡀⠀⣀⠀⠉⠢⠔⠄⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠈⠂⡙⣿⣶⢱⠫⣮⣓⡬⢿⣶⣴⣿⠿⢀⢠⠬⢂⠠⠚⣼⠁⠀⠈⠉⠲⢄⠀⠀⠁⠂⣾⢿⡌⠛⠁⠀⠀⠀⠀⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢆⠀⠀⢠⠀ ⠀⠀⠀⠀⡀⡄⠠⡄⡠⠈⠄⢹⣿⣷⣾⡿⢛⣝⠋⠉⠀⢀⠂⡤⠃⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠉⠪⠀⣾⢯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢒⠰⠀⠀ ⠀⠀⠀⢀⢱⢀⠀⡿⠷⣆⣀⡸⠉⠁⠁⣆⠰⡀⠷⡆⢆⠸⣸⡇⠀⠀⣀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣹⣿⠏⠀⢀⡇⠀⠀⢀⣷⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠰⠀ ⡄⠀⢠⡆⣨⢃⠖⣩⣽⠟⠁⠀⠀⢀⠀⣈⣷⡱⣌⢻⣮⠷⠋⠴⢀⣙⣿⣕⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⣿⠙⠀⢀⣾⠿⢲⡞⣿⣷⡿⢆⠠⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⢘⣡⠐⠌ ⣷⢿⣳⢿⣼⣿⡿⠟⠁⠀⠀⠀⠐⡀⣾⠱⣽⡷⡟⡫⣥⡤⢖⠠⢊⢻⡿⠿⠀⠀⠀⠀⠀⠀⠐⠀⠐⠀⣿⣇⡠⡈⠀⠀⠀⠙⢣⣶⡖⠹⣃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠳⡆ ⣿⣟⣯⣟⣩⢋⡠⢀⡴⠄⠀⣆⣥⢞⡥⣿⣽⢟⣛⣛⣳⢮⣍⠴⣌⡧⣭⣛⠐⢂⠀⠀⠀⠀⠀⠀⠀⠀⢺⡿⠁⠀⠀⠀⠀⠀⠿⠃⠀⢰⠿⢣⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⢳⡻ ⣿⣻⣿⣷⣯⡾⠞⡉⢠⣦⠽⣋⢾⡵⣾⣿⣿⣻⣟⢿⣻⢯⣟⡿⣽⣻⢷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⣌ ⡏⢶⣻⢿⣿⣿⣿⣼⣿⣱⡾⢟⣫⣿⣿⣿⢯⡷⣯⡿⣽⣻⣞⡿⣽⢯⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠
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