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