⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣠⣀⡀⣰⣾⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡉⠹⢿⣟⣿⣾⡿⢶⣶⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⡷⣤⣄⣽⣿⣯⣥⡑⣯⣻⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢋⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠀⠀⠀⠘⠛⠉⠙⠛⠛⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠯⢧⣴ ⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠰⠆⣀⣀⠸⠆⢹⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠾⢠⣤ ⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⢀⡀⡄⠉⠉⣀⣤⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⠈⠸⠟ ⠀⠀⠀⣤⠶⠛⠛⠛⣧⡀⢀⡴⠞⠳⠛⠉⠉⠛⢿⣄⡴⠾⠛⠛⠛⠶⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣤⣀⢀ ⠀⠀⡾⢁⠀⠀⠀⢀⠈⢿⡟⠀⠀⢀⡀⠀⠀⣀⠀⠹⡆⢠⡄⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠤⣙⠚ ⠀⢸⡇⠛⠠⠤⠄⠛⠀⣾⠀⠀⠀⠘⠃⠴⠦⠉⠀⢀⡇⠈⠰⢤⡄⠶⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢷⣀⣦⣀⣠⣆⣠⣿⠀⠀⠀⠀⢘⣲⣖⣂⠀⠸⡇⠀⠀⠀⠀⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣼⠛⠉⠀⠀⠈⠉⢻⡀⠀⠀⠀⠈⠉⠈⠉⠀⠀⣿⠀⠀⠀⠀⠀⠀⢠⡼⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⠁⠺⢀⣀⠠⡶⠀⠈⠻⣄⣀⠀⠰⡄⠀⣖⣀⡴⠟⠛⠛⠳⠶⣤⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⢀⣈⣉⣀⠀⠀⣴⠟⠋⠉⠉⠉⠉⣹⠟⠉⠀⣤⠀⠀⠀⠶⠾⠛⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⣿⠀⠠⠾⠷⠤⠀⣼⠃⠀⠀⠀⠀⠀⠐⣿⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡧⣇⠀⠀⠀⠀⠀⠀⣿⢠⡄⠀⠀⢀⡀⠀⢿⡀⠀⠿⠈⠁⠀⠀⠀⠀⠀⢀⣶⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡛⢶⡄⣤⣄⡀⣀⣹⣧⣜⠛⠂⠈⠀⣀⣈⣿⡒⠂⠀⠀⠀⠀⠀⠀⠀⣀⣹⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠈⠉⠁⢹⠿⠋⠉⠉⠉⠉⠉⠹⡷⠋⠁⠈⠉⠙⠛⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀