⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⣔⢦⢳⡚⣖⣳⣚⣖⣳⣚⣖⡳⣚⢦⡳⢴⡠⢀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢤⡲⡝⣮⡝⣞⡮⣗⢯⡳⢧⣻⡜⣧⢻⣜⣳⠽⣮⣝⠎⣴⣫⣝⡳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⡼⣣⠷⣽⡲⢯⠓⠉⠐⠂⠁⢃⠲⢩⢛⡷⣾⣭⣟⡶⢁⣾⣣⠷⣎⡷⣜⣫⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⣥⣻⢳⣝⡻⣖⠋⠀⠀⠀⠀⡀⣀⢠⣀⢆⣡⢚⡵⣿⢾⠁⣾⣳⣯⣟⡷⣽⢮⣗⣻⣬⢛⡤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣚⣥⢻⢧⣏⢷⡺⡽⢀⠠⠀⠂⠈⠁⠐⠀⠡⠈⢆⠱⣋⢾⡱⣏⠞⣟⡳⢛⡞⡽⢯⡿⣞⡷⣯⢯⣜⡳⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⢣⡳⣎⡟⡾⣜⢯⣳⠇⠂⠀⢀⣀⣀⣤⡤⠴⠆⠀⠄⢢⠱⣎⠗⡈⠘⡰⢫⠷⣬⡑⢯⡽⢯⣿⡽⣯⢷⡝⣮⢥⠀⠀⠀⠀ ⠀⠀⠀⡰⣇⢯⣳⡝⡾⣵⢫⠷⣭⣻⣛⠿⣏⠏⡉⠄⠀⠀⠀⢢⡘⢤⡓⣮⠑⠀⢁⠠⢃⡏⣷⣻⢦⣝⣻⢾⡽⣯⣟⡿⣶⢭⢲⠀⠀⠀ ⠀⠀⣰⢛⡼⣣⢷⣹⢳⡭⣏⡟⣶⢳⡽⠃⠄⠀⠀⠀⠀⠀⠈⣧⢚⣦⢻⡔⠡⢀⠢⣡⠳⣜⣷⣫⣟⣾⣳⢯⡿⣽⡾⣽⣻⣎⡗⣣⠀⠀ ⠀⢠⣓⢯⡞⡽⣎⢷⣫⢞⡵⣻⢼⣫⠎⡁⠀⠀⠀⠀⠀⠀⠀⢯⣻⢼⡳⣎⡕⢮⣱⢧⡿⡝⣺⡵⣞⡷⣯⣟⣾⣳⢿⣳⣟⡾⣍⡳⠆⠀ ⠀⡲⢭⡞⣽⢳⡽⣎⢷⣫⢞⡧⣟⡼⠁⠄⠀⠀⠀⠀⠀⠀⠀⠸⣭⢷⣻⡼⣽⣳⢯⠿⡱⢌⠵⣻⡽⢯⣗⡿⣲⢯⣟⡷⣯⢿⣽⢣⢟⠀ ⢀⢯⢳⡝⣮⢷⡹⢮⣳⡝⣾⡹⣎⡧⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠣⠟⡵⢋⠇⣎⠱⣊⢳⣱⢻⡿⣞⡽⣏⣿⣽⣻⣽⣻⢾⡭⢞⡄ ⢨⢞⣣⢿⡱⢯⣝⡳⢧⣛⡶⣽⢳⡑⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⡐⢈⠡⢊⠔⡩⠜⡤⢓⠥⣓⢮⣻⣽⣟⣷⣻⢷⣯⢷⣯⣟⣯⣗⢫⠆ ⢘⣎⢞⣧⢻⡝⣮⡝⣯⢳⣝⢮⡟⣌⠡⢈⠀⠄⠀⠀⠀⠀⠄⢂⠐⡄⢣⡘⢬⠱⣉⠖⡩⢎⡵⣫⢾⣷⣻⢾⣽⣻⣞⡿⣾⡽⣞⣧⢫⠇ ⠈⣞⡼⣎⢷⣛⢶⣫⢗⡯⣞⢧⡟⡤⢃⠄⢂⠀⠂⢀⠁⠌⡐⢀⠎⡰⠡⡜⢢⠓⡌⢎⡱⢎⡶⣽⣟⡾⣽⣻⣞⡷⣯⣟⣷⣻⡽⣖⣫⠆ ⠀⡳⢎⡽⣮⡝⣮⢳⣏⢾⡹⣮⢻⡔⡡⠌⡀⢂⠡⠀⠌⡐⢠⠊⡔⡡⢓⡌⢣⠍⡜⢢⢱⣋⣾⣟⡾⣽⣳⣟⡾⣽⣳⣟⣾⣳⢿⡜⣲⠀ ⠀⢩⣛⢼⣣⢟⡵⣏⠾⣭⣳⢏⣷⠸⡄⢃⠔⡀⢂⢁⠒⡈⢄⣃⠲⢡⠣⠜⡡⢎⡰⢍⡶⣹⡷⣯⣟⣷⣻⢾⣽⣳⣟⣾⣳⢯⡷⣩⠇⠀ ⠀⠀⢝⡲⣝⡮⣗⢯⣛⡶⣽⢺⣭⠳⣌⠣⢌⡐⠡⢂⠜⡰⢈⠤⣃⠣⢩⠜⡐⠦⣱⢺⣼⡿⣽⣳⣟⡾⣽⣻⣞⣷⣻⢾⣽⣛⠶⣍⠂⠀ ⠀⠀⠈⢳⢎⡷⣹⢮⡳⣝⢮⠷⣭⡳⣌⢣⠒⡌⠱⡈⢆⡡⢍⠒⣌⠡⢃⡜⢨⡱⢎⣿⣳⣟⣷⣻⢾⣽⣳⣟⣾⣳⢯⣟⡾⢥⡻⠀⠀⠀ ⠀⠀⠀⠈⢞⡜⣧⢏⡷⣫⢏⡿⣱⡟⡴⢣⠍⡬⣑⠡⢎⡐⢎⠱⢠⢉⠆⡜⣡⢯⡿⣯⢷⣻⢾⣽⣻⣞⣷⣻⢾⣽⣻⢞⡹⣎⠁⠀⠀⠀ ⠀⠀⠀⠀⠈⠸⡼⣙⢾⣱⢯⡝⣧⢿⣱⠫⣜⠰⡌⡱⢂⡱⢈⠦⡁⢎⡜⡼⣽⣻⡽⣯⢿⣽⣻⣞⣷⣻⢾⣽⣻⢾⣙⠮⡕⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⢭⢞⡱⣏⢾⡹⣞⢧⣛⢤⡓⠬⣑⠢⡑⢌⢢⡑⢮⣼⣟⣯⢷⣻⣽⣻⣞⣷⣻⢾⣽⣻⢾⡹⢎⡝⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢣⡝⣮⢳⣏⠿⣼⢦⡙⠦⢡⢒⡉⢆⣦⣽⣟⣷⣻⣞⣯⢷⣯⢷⣻⢾⣽⣻⠞⣝⠮⡵⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⢗⢮⡛⣵⢻⡼⣥⣧⢮⣼⢿⡾⣽⣞⣷⣻⢾⣽⣻⣞⣯⢟⡻⡬⢇⡿⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠢⢯⡜⢧⢫⢟⡹⣏⢟⣳⡛⣾⢹⣛⡼⢣⡝⣦⠛⠴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀