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