⣀⣾⣿⢻⣿⣿⣿⣿⠿⠟⠛⠋⠉⠉⠉⠉⠙⠛⢿⠿⠛⠛⠛⠛⠛⠛⠛⠓⠤⠄ ⣿⣿⣧⣭⣿⣿⣋⡀⠄⠄⠄⠄⠄ ⠄🔴 ⠄⠄⠄⠄⠄⠄⠄ 🔴 ⠄⠄⢸ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣀⣀⣤⣤⣴⣾⣦⣤⣤⣤⣤⣤⣤⣤⣤⡶⠋

⣿⣿⣿⣿⣿⡟⣛⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣇⠘⢿⣦⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠿⠿⣿⣷⠰⣽⣶⣮⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣥⣴⣶⣶⣦⣍⢿⣿ ⣿⣿⣏⠉⢷⣌⢿⣷⡌⢿⡿⣗⡹⣿⣿⣿⢛⣭⣩⣽⢦⡚⣭⡹⣿⣿⣿⣿⡆⢿ ⣿⣿⣿⣦⠨⣫⣮⣝⢿⣌⢿⣿⣿⡝⣿⣿⢸⡿⡝⢇⠿⡇⣿⣷⣭⣛⠻⠇⠇⣾ ⣿⣿⣿⣿⣷⣝⢿⣿⣃⣻⢧⠹⣿⣿⡘⡇⡇⠂⣠⣶⣤⣦⡁⠻⣿⣿⡇⠄⢠⣿ ⣿⣿⣿⣿⣿⣿⣧⡡⣿⣿⣷⡀⠘⠿⣿⠖⣠⣾⣿⣿⣿⣿⣿⢰⣤⣴⣧⢠⣿⣿ ⡿⣛⣛⠿⣿⣿⣿⣿⣮⡻⣿⡟⠄⠈⢁⣼⣿⣿⣿⣿⣿⣿⠏⠄⡻⣿⣿⡆⣿⣿ ⣇⣋⠙⢿⣶⣮⣝⡛⠿⢿⡀⠇⠄⣰⣿⣿⣿⣿⣿⣿⡿⠁⢠⣴⣾⣾⣿⡇⣼⣿ ⣿⣿⣷⣬⣋⣙⠻⣵⣿⣿⡶⢀⣾⣿⣿⣿⣿⣿⣿⠏⠄⠠⣿⣿⣿⣿⡏⠃⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣮⣙⠙⣰⣿⣿⣿⣿⣿⣿⣿⠋⠂⠄⣼⣿⣿⣿⣿⠁⢰⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠏⣴⣿⣿⣿⣿⣿⣿⡿⠃⠄⢀⢲⣿⣿⣿⣿⡇⠄⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢋⣾⣿⣿⣿⣿⣿⣿⡿⠁⠁⢠⣿⣮⣻⣿⣿⣿⣵⡜⢿⣿⣿ ⣿⣿⣿⣿⣿⣿⢃⣾⣿⣿⣿⣿⣿⣿⡟⠐⠄⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡹⢿ ⣿⣿⣿⣿⣿⢃⣾⣿⣿⣿⣿⣿⣿⡟⠐⣀⠐⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮

▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓░▓▓▓▓ ▓▓▓▓▓░▒▒▒▒▒▓▓██▒░░▒▒▓▓▓ ▓▓▓▓░░░▒▒▒▒▒▓▓██░▒▒▒▒▓▓ ▓▓▓░▐▌░░▒▒▒▒▒▓▓██▒▒▒▒▒▓ ▓▓▓░░▌░▒▒▒▒▒▓▓██▒▒▒▒▓▒▓ ▓▓▓▒░░░░░░▀███░░░░▓▓▓▓▓ ▓▓▒▒░░░░▌▄████▌░░░▓▓▓▓▓ ▓▓▒▒░░░░███▄█▌░░░▓▓▓▓▓▓ ▓▓▒▒░░░░░▀▀▀▀░░░░▓▓▓▓▓▓ ▓▒▒▒▒░░░░░░░░░░░░░▓▓▓▓▓ ▓▒▒▒▒▒▒▒░░░░░░▐▄░▓▓▓▓▓▓ ▓▒▒▒▒▒▒░░▓▓▓▓▓▓▓▓▓▓▓▓▓▓ ▓▒▒▒▒▒▒▒░▓▓▓▓▓▓▓▓▓▓▓▓▓▓

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠈⡆⠀⣠⠞⢻⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣶⣤⠠⠓⠋⠁⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣀⣀⡀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⠖⠛⠉⠉⠉⠉⠉⠙⠛⢀⣀⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡾⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠉⠳⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⢡⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠇⠘⠛⠃⠀⠀⠀⠀⠒⠒⠢⠀⠀⠀⠠⡤⢄⡼⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠘⢻⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠈⠉⠉⠉⠀⠀⣴⠛⣦⠀⠀⢀⠞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⡀⠀⠀⠀⠀⡸⠀⠈⠛⣶⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡴⢛⡝⠁⠙⠿⡿⠛⠚⢇⠀⠀⠀⣽⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠁⣾⠁⠀⠀⠀⠀⠀⠀⢈⣳⡦⠚⠁⠀⠀⠀⠀⠀⠀ ⠀⣴⢟⣿⣦⣄⡀⠈⢧⣿⠀⠀⠀⠀⠀⠀⠀⠸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣮⣷⣤⡈⠙⠛⠲⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⠳⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣖⠦⣤⣤⡄⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠸⣿⡗⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⠉⠘⠧⡤⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠭⠽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠗⠒⠓⠾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠛⠚⠋⠁⠓⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣋⡈⣘⢉⢁⣈⠑⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣽⢞⣂⣁⣀⡄⣭⣉⡑⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣭⣿⣶⣶⣶⣦⣤⣌⣉⡚⢆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡯⠋⠍⠀⠈⡉⠊⢉⡽⢛⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢐⡾⣟⠲⠛⠆⠈⠉⠉⠩⢿⣧⣔⣺⣼⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⢿⢁⣉⣤⣤⣶⣦⣴⣤⣴⣰⣽⡿⣞⣭⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣟⣱⣶⣿⣿⣿⡇⠰⣻⣿⣟⣿⣟⡷⣟⢾⣷⣯⣗⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⡷⣿⣿⡿⣙⠸⣿⣿⣿⣿⠟⣽⣿⢱⢹⣿⣿⣿⣿⣿⢷⡀⠀⠀⠀ ⠀⠀⠀⡰⣭⣙⠌⠩⠓⠃⠡⠙⠻⠿⠿⠽⠛⢁⠁⢚⣿⣾⣷⠿⡛⢿⣧⠀⠀⠀ ⠀⠀⣰⠲⡌⠣⠌⣁⠂⠠⠀⠂⠀⠤⢤⢤⢐⡒⠽⣋⣋⠮⠥⡒⢏⣛⣩⣧⠀⠀ ⠀⣴⡽⣯⣉⡳⠀⠄⠌⣄⣒⣒⣒⣒⣒⣒⣒⣊⡭⠵⠖⠒⢪⣍⣙⣦⣤⡽⢧⠀ ⣰⣟⡷⡆⠽⣃⢉⡐⣂⠄⣁⠐⠀⢂⢐⢀⠓⡐⢒⡚⣇⢉⣫⠡⠭⢲⡾⣛⣾⡆

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣶⣶⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⡿⠿⠛⠛⠛⠛⠛⠛⠻⢿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣼⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⡿⠋⠀⠀⠀⠀⠀⣿⡇⠀⢸⣿⡇⠀⠀⠀⠀⠀⠈⢿⣿⣦⡀⠀⠀ ⠀⠀⣸⣿⡿⠀⠀⠀⠸⠿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣶⣄⠀⠀⠀⠀⢹⣿⣷⠀⠀ ⠀⢠⣿⡿⠁⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠈⣿⣿⣿⠀⠀⠀⠀⠀⢹⣿⣧⠀ ⠀⣾⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⢀⣠⣿⣿⠟⠀⠀⠀⠀⠀⠈⣿⣿⠀ ⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠿⠿⠿⣿⣿⣥⣄⠀⠀⠀⠀⠀⠀⣿⣿⠀ ⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⢻⣿⣿⣧⠀⠀⠀⠀⢀⣿⣿⠀ ⠀⠘⣿⣷⡀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⣼⣿⣿⡿⠀⠀⠀⠀⣸⣿⡟⠀ ⠀⠀⢹⣿⣷⡀⠀⠀⢰⣶⣿⣿⣿⣷⣶⣶⣾⣿⣿⠿⠛⠁⠀⠀⠀⣸⣿⡿⠀⠀ ⠀⠀⠀⠹⣿⣷⣄⠀⠀⠀⠀⠀⣿⡇⠀⢸⣿⡇⠀⠀⠀⠀⠀⢀⣾⣿⠟⠁⠀⠀ ⠀⠀⠀⠀⠘⢻⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣷⣶⣤⣤⣤⣤⣤⣤⣴⣾⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⠿⠿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⡰⠴⠢⠈⡀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⢀⢙⣐⡰⢺ ⠺⢀⡃⠋⠂⠄⠄⠄⠄⠄⠄⠄⢀⢀⠄⠠⠤⠄⠤⠤⠄⠄⠄⠄⠄⠸⠸⣿⠟⢸ ⡤⣿⣿⡧⡄⠄⠄⠄⠄⢀⡀⠰⠋⢀⠄⠄⡀⠤⣶⡾⠟⠄⠄⠄⠄⢸⠄⠄⠄⡇ ⠑⠉⠉⠁⠅⢰⡦⠉⡙⡽⠄⠄⠜⠛⠴⠊⠄⡀⢼⣧⡀⠅⠄⠄⠄⡌⠄⠄⠄⢴ ⢰⠄⠄⠄⠘⡌⢷⡄⢁⠁⠈⠄⠄⢀⡃⣠⣾⣆⣼⣿⣧⡗⠄⠄⢰⡅⠄⠄⠘⢿ ⠸⡀⠄⠄⠄⠘⢄⠙⡎⡇⡦⠄⠄⠈⠹⢻⣿⣿⣿⣿⡏⡇⠄⢀⣇⠂⠄⠄⣌⢸ ⠄⡟⠄⠄⠄⠰⠼⢢⡳⣄⢀⡀⠂⠄⠄⠣⣿⣿⠄⠄⡿⢱⢠⠞⠆⠄⠄⠄⠰⣾ ⠄⡃⠄⠄⠄⠄⠄⠈⠓⣟⢰⠁⠐⠄⠄⠄⠉⠑⠄⠄⢐⠊⠍⠉⠁⠄⠄⠐⠶⣪ ⠠⢾⡈⣄⡤⠄⠄⠄⠘⠘⠑⢡⡄⠄⠄⠄⠈⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⡬⢗⡎ ⠄⠬⢧⣄⠖⣀⠄⠄⠄⠄⠄⠨⠙⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠈⠰⡝⠄ ⠄⠄⠄⢈⣳⣭⡃⠆⠇⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄▄▄⠄⠄⠄⠄⠄⠄⣼⠁⠄ ⡀⢐⣛⠿⠿⠛⢻⣿⢶⣰⢀⡢⠄⠄⠄⠄⠄⠄█░░▀▄⠄⠄⠁⡠⣟⠆⠄⠄ ⠄⠄⠄⠄⠄⠄⣻⣧⣇⠊⢙⢣⡄⠄⠄⠄▀▄░░▀▄⠄⠄⢀⣙⠛⠨⡄ ⠄⠄⠄⠄⢀⣠⣾⣿⡿⠿⢿⣲⠄⣁⡀⠄⠄▀▄░░▀▄⠄⠄⠐⠑⠾⢨⠆ ⠤⠖⠒⠚⣿⣿⣿⣿⣣⠶⠦⠷⠁⣔⡯⠄⠄▄▀░░░░█⠄⠐⠖⠋⠄⢪⠄

⠀⠀⠀⠀- ⣠⠤⠖⠚⠛⠉⠛⠒⠒⠦⢤ ⠀⠀⠀⠀⣠⠞⠁⠀⠀⠠⠒⠂⠀⠀⠀⠀⠀⠉⠳⡄ ⠀⠀⠀⢸⠇⠀⠀⠀⢀⡄⠤⢤⣤⣤⡀⢀⣀⣀⣀⣹⡄ ⠀⠀⠀⠘⢧⠀⠀⠀⠀⣙⣒⠚⠛⠋⠁⡈⠓⠴⢿⡿⠁ ⠀⠀⠀⠀⠀⠙⠒⠤⢀⠛⠻⠿⠿⣖⣒⣁⠤⠒⠋ ⠀⠀⠀⠀⠀⢀⣀⣀⠼⠀⠈⣻⠋⠉⠁ ⠀⠀⠀⡴⠚⠉⠀⠀⠀⠀⠀⠈⠀⠐⢦ ⠀⠀⣸⠃⠀⡴⠋⠉⠀⢄⣀⠤⢴⠄⠀⡇ ⠀⢀⡏⠀⠀⠹⠶⢀⡔⠉⠀⠀⣼⠀⠀⡇ ⠀⣼⠁⠀⠙⠦⣄⡀⣀⡤⠶⣉⣁⣀⠘ ⢀⡟⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣽ ⢸⠇⠀⠀⠀⢀⡤⠦⢤⡄⠀⠀⡟ ⢸⠀⠀⠀⠀⡾⠀⠀⠀⡿⠀⠀⣇⣀⣀ ⢸⠀⠀⠈⠉⠓⢦⡀⢰⣇⡀⠀⠉⠀⠀⣉⠇ ⠈⠓⠒⠒⠀⠐⠚⠃⠀⠈⠉⠉⠉⠉⠉⠁

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠋⠙⠋⠓⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠹⡿⠁⠀⠀⠀⠀⠀⠐⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢮⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣶⡶⠶⠶⠤⠤⠤⡀⠀⠀⠀⠘⣽⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡏⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⠀⠀⠀⠀⣾⣿⡧⠈⢂⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⠃⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣖⣒⡒⠒⠀⠀⠀⠀⠀⡀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⠻⣿⡿⠿⠿⠿⠿⠿⠟⠉⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⠿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠖⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⢠⢾⣿⢺⣄⡀⠀⠀⠀⢀⡴⠃⠀⣠⡎⢀⠀⠀⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠟⠁⢸⣿⣾⣿⣇⣀⠀⠐⠁⠀⣠⣶⣿⡟⠃⠑⣄⣴⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡿⠖⠀⢀⣠⠿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠻⢿⣿⣿⣶⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⢸⣿⠉⠉⠉⢣⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠚⠋⠀⠀⠀⠸⠀⠀⠀⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀