⣾⠛⠛⠲⣤⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⠛⢻⡆
⣿ ⠀⠀⠀ ⠙⢦⡀⠀⠀⣠⠞⠁ ⠀⠀⠀⢸⡇⠀⁺⊹
⢿⡄ ⠀⠀⠀⠀ ⠹⣄⡼⠁ ⠀⠀⠀⠀⠀⣼⠇
⠘⢷⣄⣀⡀⠀⠀⠀⠙⠁⠀⠀⠀⣀⣀⣴⠟
　⠀⣼⠛⠉⠉ ⠀⠀⠀⠀ ⠈⠉⠙⢻⡄
　⠘⣷ ⠀⠀⠀⠀ ⡞⣦⠀⠀⠀⠀⣰⡟
⊹⠀⠈⠻⣦⣤⡶⠋⠀⠈⠳⣦⣤⡾⠋ ⠀

⣾⠛⠛⠲⣤⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⠛⢻⡆
⣿ ⠀⠀⠀ ⠙⢦⡀⠀⠀⣠⠞⠁ ⠀⠀⠀⢸⡇⠀⁺⊹
⢿⡄ ⠀⠀⠀⠀ ⠹⣄⡼⠁ ⠀⠀⠀⠀⠀⣼⠇
⠘⢷⣄⣀⡀⠀⠀⠀⠙⠁⠀⠀⠀⣀⣀⣴⠟
　⠀⣼⠛⠉⠉ ⠀⠀⠀⠀ ⠈⠉⠙⢻⡄
　⠘⣷ ⠀⠀⠀⠀ ⡞⣦⠀⠀⠀⠀⣰⡟
⊹⠀⠈⠻⣦⣤⡶⠋⠀⠈⠳⣦⣤⡾⠋ ⠀

⣾⠛⠛⠲⣤⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⠛⢻⡆
⣿ ⠀⠀⠀ ⠙⢦⡀⠀⠀⣠⠞⠁ ⠀⠀⠀⢸⡇⠀⁺⊹
⢿⡄ ⠀⠀⠀⠀ ⠹⣄⡼⠁ ⠀⠀⠀⠀⠀⣼⠇
⠘⢷⣄⣀⡀⠀⠀⠀⠙⠁⠀⠀⠀⣀⣀⣴⠟
　⠀⣼⠛⠉⠉ ⠀⠀⠀⠀ ⠈⠉⠙⢻⡄
　⠘⣷ ⠀⠀⠀⠀ ⡞⣦⠀⠀⠀⠀⣰⡟
⊹⠀⠈⠻⣦⣤⡶⠋⠀⠈⠳⣦⣤⡾⠋ ⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⢶⣦⡀
⠀⠀⠀⣴⡿⠟⠷⠆⣠⠋⠀⠀⠀⢸⣿
⠀⠀⠀⣿⡄⠀⠀⠀⠈⠀⠀⠀⠀⣾⡿
⠀⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⢀⣾⣿
⠀⠀⠀⠀⠈⠻⣿⣷⣦⣀⣠⣾⡿ ㅤㅤ
⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⡿⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⢠⠏⡆⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣀⡀
⠀⠀⠀⠀⠀⡟⢦⡀⠇⠀⠀⣀⠞⠀⠀⠘⡀⢀⡠⠚⣉⠤⠂⠀⠀⠀⠈⠙⢦⡀
⠀⠀⠀⠀⠀⡇⠀⠉⠒⠊⠁⠀⠀⠀⠀⠀⠘⢧⠔⣉⠤⠒⠒⠉⠉⠀⠀⠀⠀⠹⣆
⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⣤⠶⠶⢶⡄⠀⠀⠀⠀⢹⡆
⠀⣀⠤⠒⠒⢺⠒⠀⠀⠀⠀⠀⠀⠀⠀⠤⠊⠀⢸⠀⡿⠀⡀⠀⣀⡟⠀⠀⠀⠀⢸⡇
⠈⠀⠀⣠⠴⠚⢯⡀⠐⠒⠚⠉⠀⢶⠂⠀⣀⠜⠀⢿⡀⠉⠚⠉⠀⠀⠀⠀⣠⠟
⠀⠠⠊⠀⠀⠀⠀⠙⠂⣴⠒⠒⣲⢔⠉⠉⣹⣞⣉⣈⠿⢦⣀⣀⣀⣠⡴⠟

⡀⡀⣸⡏⣻⣦⣤⣤⣤⣤⣀⡀⡀⣀⣤⣤⣤⣤⣴⡟⣹⡇⡀⡀
⡀⡀⣸⡇⡀⣹⡆⡀⡀⡈⡙⣷⡾⡋⡁⡀⡀⣰⣏⡀⣸⡇⡀⡀
⡀⡀⣾⡛⡛⡋⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡙⡛⡛⣷⡀⡀
⡀⡀⣿⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⣿⡀⡀
⡀⡀⡙⣧⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⣼⡋⡀⡀
⡀⡀⡀⡘⣷⡄⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⣀⡼⡃⡀⡀⡀
⡀⡀⣀⣀⣈⡻⣦⡀⡀⡀⡀⡀⡀⡀⡀⡀⣀⣴⡟⡁⣿⣦⡀⡀
⡀⣾⡋⡉⡉⡻⣮⡻⣦⡀⡀⡀⡀⡀⣀⣴⡟⡁⡀⣠⣿⣬⣷⡀
⡀⣻⣄⡀⡀⡀⡈⣻⣌⣻⣦⣀⣀⣴⡟⡁⡀⡀⡀⡉⣱⡟⡛⡀
⡀⡀⡉⡛⡶⡶⡶⡞⡛⣯⣈⡉⡉⡁⡀⡀⡀⡀⣀⣴⡟⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡙⡷⣦⣤⣤⣤⣤⡶⡟⡁

⡀⡀⣸⡏⣻⣦⣤⣤⣤⣤⣀⡀⡀⣀⣤⣤⣤⣤⣴⡟⣹⡇⡀⡀
⡀⡀⣸⡇⡀⣹⡆⡀⡀⡈⡙⣷⡾⡋⡁⡀⡀⣰⣏⡀⣸⡇⡀⡀
⡀⡀⣾⡛⡛⡋⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡙⡛⡛⣷⡀⡀
⡀⡀⣿⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⣿⡀⡀
⡀⡀⡙⣧⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⣼⡋⡀⡀
⡀⡀⡀⡘⣷⡄⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⣀⡼⡃⡀⡀⡀
⡀⡀⣀⣀⣈⡻⣦⡀⡀⡀⡀⡀⡀⡀⡀⡀⣀⣴⡟⡁⣿⣦⡀⡀
⡀⣾⡋⡉⡉⡻⣮⡻⣦⡀⡀⡀⡀⡀⣀⣴⡟⡁⡀⣠⣿⣬⣷⡀
⡀⣻⣄⡀⡀⡀⡈⣻⣌⣻⣦⣀⣀⣴⡟⡁⡀⡀⡀⡉⣱⡟⡛⡀
⡀⡀⡉⡛⡶⡶⡶⡞⡛⣯⣈⡉⡉⡁⡀⡀⡀⡀⣀⣴⡟⡀⡀⡀
⡀⡀⡀⡀⡀⡀⡀⡀⡀⡀⡙⡷⣦⣤⣤⣤⣤⡶⡟⡁