⢰⢢⣦⠀⠀⠀⢳⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣯⡭⠹⠿⣶⣤⣀⠀⠀⣰⣿⢿⣿⣧⣄⣀⣀⡽⠟⠋⠉⢉⣭⠿⠓⢶⣤⠀
⠀⠌⣯⣭⣷⣄⣀⣀⣻⣷⣶⣤⠬⣍⣶⣄⠀⠀⠀⣀⣴⣿⠛⣉⣤⣶⣿⣿⣿⣿⣿⣯⣉⠓⠶⢼⣿⣿⣿⣦⣸⣏⣼⣻⣿⣿⣿⣿⡄⢀⣤⣾⣿⡁⠀⠀⠀⠈⠀
⠀⠀⠸⣎⡉⠉⠙⠁⣶⡉⢉⣘⣿⣯⣮⢿⣧⢀⣼⣯⣿⣿⠟⠁⣼⣿⣿⣿⣿⣿⡿⣿⠟⠳⣜⢀⢽⣿⣿⠿⠿⣿⣿⡟⠁⠀⠈⣛⣡⢿⣿⣿⠟⠁⠀⠀⠀⠀⠀
⢀⠤⢶⣾⣿⣶⣦⣤⠉⣥⣾⡿⠋⠉⠻⣿⣿⣾⣿⣿⣿⠃⢀⡾⠋⠀⣿⣽⣏⢿⣷⠹⡄⣀⠘⣷⣴⠟⣿⠷⣄⣸⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣀⠀⠀⠀
⠁⠀⠀⠈⢻⣦⣄⡈⠀⠤⢀⣀⠀⣀⣤⣿⣿⣁⡟⣿⠘⣷⣿⡄⠀⣀⠋⢹⡍⣼⣿⡇⣹⣸⣶⡻⣿⣶⠛⢄⠈⢻⣿⣿⣄⢀⡀⠀⠩⣝⣿⠟⠁⠀⠀⢸⠇⠀⠀
⠀⠀⠀⠀⠀⢙⣻⣿⣿⣿⣿⡿⠿⠛⣿⣿⣿⡟⠀⠙⣿⣿⣧⢈⣻⣿⢶⣤⡧⢿⣿⣟⣿⣿⣿⣿⠉⠹⡆⠈⢷⡀⢻⣿⠀⠙⠻⠿⠭⠭⠵⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣠⡾⠛⠿⣿⣿⣟⠋⢉⣠⣾⡟⢹⣿⡅⢠⡎⣹⠉⠈⢿⡏⢉⣿⢿⡏⣿⣿⠉⡏⣿⣙⢎⢳⡀⢻⣦⠀⢷⠈⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠛⠀⠀⠀⠈⠙⠓⠾⠟⠛⠉⠀⣿⣿⡇⡿⠀⡇⠁⢀⡞⢀⣾⡟⣸⣷⡿⢹⠀⣷⣿⠈⡿⢿⣷⣌⣿⣦⣸⣧⢾⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣁⣿⡀⢇⢠⣿⠁⡾⢱⢣⣿⡟⠀⡟⣸⢿⡿⠀⣘⣀⣻⣿⣿⢻⣿⣿⣯⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⣿⡇⣿⠚⣼⡏⣸⢣⣾⣿⣴⡧⣼⣳⡿⢻⡿⣛⣉⣁⣸⣏⣿⣽⣿⣿⣿⣿⣯⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⢻⣿⣼⣿⠸⡀⣿⢿⡏⣩⣿⣉⣱⣷⣿⠟⢡⡿⢻⣿⣿⣿⣿⡿⣿⣿⣾⣿⣿⣿⢟⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⡹⣼⣿⣿⣟⣷⣇⣿⣾⡿⣿⣿⣿⣿⣿⣹⡈⠟⠁⠀⠻⣽⣭⣽⡴⢣⣿⣿⣿⣿⣿⣮⣿⣿⣦⣀⣀⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣽⡿⣿⣿⣿⣿⣿⡻⢦⣹⣯⣿⠖⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⢈⡽⢳⢳⡾⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⢻⣿⣟⠿⣿⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣏⢀⡿⣿⣽⣿⡞⡇⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠋⣿⣿⣿⣾⣿⣏⠙⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⢀⡆⢰⢃⡏⣼⠟⣿⣿⣿⣷⡇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢻⢳⣿⣿⣜⣆⡸⡍⠻⣄⠧⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⣱⢿⢾⣿⣵⣾⡿⢋⣜⡿⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡟⣼⣿⣿⣷⣽⡟⠿⢷⡤⠼⠷⣄⠀⠀⠀⠉⠉⠛⠃⠀⠀⣠⣾⣿⣿⣾⣿⠟⢿⠋⠉⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠌⠙⢷⡙⠻⣿⣶⣜⣿⡿⡶⣾⣿⠲⠤⣀⡀⠀⠀⣠⡞⠋⢸⢿⢿⠛⠉⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⡹⠉⠛⠛⠃⡼⢻⠀⠀⠀⠉⢳⡿⠋⠀⢀⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⡄⠀⠀⠈⠁⠀⡰⢻⠁⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢀⣸⡄⠀⢀⡠⠞⠁⡞⠀⠈⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠤⠤⣄⣀⣀⣀⣤⠤⢴⡖⠋⠁⠀⠀⠉⢙⠁⠀⠀⠀⢰⠃⠀⠀⠀⠀⠙⢿⠒⠤⢤⡤⡤⠤⠤⠤⠤⠤⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠊⠁⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⢿⠛⠒⠲⠤⠤⠤⠶⣷⣄⠀⢀⣿⠦⠒⠂⠀⠒⠚⢉⣷⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠋⠀⠐⢻⡟⠀⠀⠀⠀⠀⠀⠈⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀⠙⣿⡄⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠁⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⢣⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠸⡄
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⢀⡄⣼⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡄⠈⢧⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⡆⠀⣼⡆⣠⠎⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠳⠀⠈⣿⡆⢸⡇⠀⠀⠀⠀⠀ ⠀⣇
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⣇⢀⣿⣿⠁⢀⣰⡟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣻⣄⡀⠢⡘⢷⣸⠇⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⡿⣿⠿⠳⠶⠌⠁⠼⣷⡀⠀⠀⠀⠘⢆⠀⠀⢆⠀⠀⠀⢰⠀⠀⠀⠀⢀⣾⠁⠈⠛⢿⡛⠞⣿⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⢶⣷⠊⠀⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⠈⠶⠀⠸⡆⠀⠠⠆⠀⠀⠀⣠⣾⠿⠗⠂⠀⠀⠐⢿⣾⡄⠀⠀⠀⠀⠀⠀⣼
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢀⡿⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣶⢤⡀⠀⠀⠀⡇⠀⠀⣀⣠⣴⠾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠉⢷⡄⠀⢀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢢⡙⠻⣆⠒⠓⠒⡟⣱⠋⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠈⠁⠀⢰⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠆⠘⣆⠀⣼⡕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⣸⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⡄⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⢰⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡼⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢠⠃⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⡼⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⢀⠇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠈⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠠⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠁⠀⢸⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠉⠳⣶⡤⣤⣤⣤⠤⠤⠀⠀⠀⠒⠰⠃⠀⠈⠉⣉⡫⠽⠶⣒⣢⠤⠤⣤⡴⣶⡾⠋⠀⠀⠀⠀⡎⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠘⣿⣿⡛⠋⠙⠒⠀⠀⠀⠀⠀⠀⠂⠀⠈⠀⠀⠀⠠⠠⢘⡳⠿⠳⣯⡟⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠘⣿⣮⡿⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠚⠉⠰⠉⣷⡿⡡⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⡆⠀⠀⠀⠀⠘⢿⣷⡀⠙⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⣿⣿⠃⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⠀⠀⠀⠀⠀⠈⢿⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⣽⠀⠀⠀⠀⠀⠀⡜⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢹⠀⠀⠀⠀⠀⠀⠘⡏⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠉⣴⠇⠀⠀⠀⠀⠀⠀⢃⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠘⠀⠀⠀⠀⠀⠀⠀⢹⡸⡴⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⡽⡝⣄⠀⠀⠀⠀⠀⠀⠀⢀⡔⠞⠁⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠹⡄⠘⢆⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⣾⢻⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⢷⡀⠈⠆⠀⠀⣠⠞⠁⠀⠀⠀⢀⢸⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣧⠘⡙⡄⠀⠀⠀⠁⠀⠀⠀⠀⢀⢏⡇⠀⡞⠀⠀⠀⠀⠀⠀⠀⢰⣷⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣿⡇⠻⡄⠀⠀⠀⠀⠀⠀⠀⢸⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡜⠀⠀⡇⠀⠀⠀⠀⠀⠀⢠⠏⡏⣇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡌⢿⡀⠹⡀⠀⠀⠀⠀⠀⠀⠘⡆⢘⡆⠀⠀⠀⠀⠀⠀⠀⡼⡹⠀⠀⣀⡇⠀⠀⠀⠀⠀⠀⡌⢠⠇⠈⢇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢏⢠⡹⡄⠱⣄⢳⡀⠀⠀⠀⠀⠀⠀⣇⠉⠀⠀⠀⠀⠀⠀⠀⡸⣱⠃⢀⢴⢻⠇⠀⠀⠀⠀⠀⣸⡵⠋⠀⠀⡞⡄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⣞⣆⠉⠻⣄⠈⠛⢷⠀⠀⠀⠀⠀⠀⢹⢤⡀⠀⠀⠀⣀⡤⠶⠡⡧⠞⠁⢸⣼⠀⠀⠀⠀⠀⢠⠇⠀⠀⢀⣞⡇⢻⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣮⡹⣷⡄⠀⠙⠢⣌⣇⠀⠀⠀⠀⠀⢸⡦⢬⣉⡈⠉⠀⠀⠀⣀⡤⠖⠈⠹⡿⠀⠀⠀⠀⠀⡞⣒⠿⠛⠉⢀⣤⣫⣷⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣏⡁⢹⣿⣿⣆⡀⠀⠀⢸⡆⠀⠀⠀⠀⠈⡗⣄⣠⠭⠟⠒⠒⠢⠬⠭⣉⢁⢆⡇⠀⠀⠀⠀⢰⠋⠀⣀⣤⣺⣿⠿⣻⣿⡄⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣾⣿⣿⣿⣿⣷⣶⣤⣿⡀⠀⠀⠀⠀⢿⣁⠠⠤⠤⠤⢄⣀⣀⣀⡠⠬⢼⠁⠀⠀⠀⢀⣿⣶⣿⣿⣿⣿⣥⣶⣿⣿⣧⡀