⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠚⠀⠀⠀⠀⠈⠉⠣⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠏⢁⣀⡀⠀⠀⠀⢀⠀⠀⠠⡀⠳⡐⠄⠀⠠⣦⢶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣮⡶⠋⡑⢉⡭⣍⠓⠢⢄⢕⢢⡀⠈⠀⠐⢀⠀⢀⣜⠀⡋⠧⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢔⣷⠛⣆⢳⠽⠿⠿⡙⢧⠠⠀⠉⠉⡁⢀⠀⢀⠒⠤⢼⠯⣿⣏⡀⢈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⡾⠁⠀⠀⠀⠈⠻⣄⡖⠠⣠⠀⠁⠋⣴⣺⣇⠐⢃⢆⣽⠘⡽⠧⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣷⣇⠀⠀⠀⠀⢀⣀⠬⠎⠇⣵⣱⣶⠟⠿⣥⢻⡷⡶⠻⣥⡤⠟⠀⠹⡃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣽⢹⣲⠀⠀⠈⠉⡶⣾⣲⢲⡀⠱⣻⡭⢰⡛⡊⣯⣢⠴⠸⠈⡆⠀⡞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢸⣿⠀⢿⡽⠆⠀⠀⠁⠁⠀⠀⣷⡀⣎⡴⣿⠻⣏⠓⠿⠵⠋⢠⠳⠖⣁⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠙⢧⣤⡆⢸⠀⠀⠀⠀⠀⠀⠘⢝⢇⣆⠻⡑⡹⣗⢶⡶⠎⠁⢱⠀⠀⠈⠑⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⡴⠂⠈⣹⡗⣄⠨⠤⠤⠀⠀⠀⡠⡋⡇⠟⠀⢹⡿⠙⡕⠚⡶⡖⠁⠑⠤⡤⠒⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⢠⠞⢹⡈⠐⠑⢄⠀⢀⠤⡊⠀⢳⡎⠈⡠⠊⡠⠊⠱⣀⠇⢹⡆⠀⠀⣸⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢄⠈⠻⡈⠀⠀⠉⠀⠀⣸⣆⢀⠱⡞⢁⠔⠀⠠⠞⠀⠙⠺⢆⡒⠚⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠳⡄⡏⠑⢄⠀⣠⠴⣇⢹⢎⡞⢀⠊⠀⡐⠁⠀⠀⠀⠀⠀⠉⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠰⣀⣀⠜⡼⢁⡸⠘⢸⡟⢠⠂⠀⡜⠀⢀⠂⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⣑⡤⠜⠀⡜⡇⣄⡇⣇⡘⢀⠂⠀⡘⠀⠐⡌⠀⠀⠀⠀⠀⠀⢀⠘⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢮⠁⡇⡏⠃⠸⠁⠎⠀⠠⠀⠀⢣⠙⠀⡔⠀⠀⡀⠀⠈⡄⢹⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢹⠙⢀⡇⢧⢸⠃⡜⠀⢠⠁⠀⠀⡄⢇⡜⠀⠀⡐⠀⠀⠀⢡⠸⡧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠸⠄⣼⣷⢸⠸⠰⠀⠀⠆⠀⠀⢰⣷⡜⠀⢀⡜⠀⠀⠀⠀⠈⡆⣷⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣄⠀⠀⠀⠀⠀⢀⡠⢏⠈⠀⠀⢛⢭⣿⢸⠀⡇⠀⠸⠀⠀⠰⢐⣿⠁⢠⠎⠀⠀⠄⢀⠆⠀⢣⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢻⣧⣤⣾⣯⣕⠳⠶⡢⣌⢲⡄⠈⣞⢯⡜⠀⠇⠀⡆⠀⠀⠀⢃⠞⢠⠃⢀⠄⡌⣤⠊⠀⠀⠘⡇⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠊⡄⠰⡱⣧⡀⡄⠈⡆⠑⡨⢢⠑⣭⢆⠐⣝⣇⢇⠘⡀⡇⠀⠀⠀⡌⣇⠇⡴⠁⣸⠜⠁⠀⠀⠀⠀⡇⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡐⡐⣼⠀⢸⣝⡧⠥⢄⣸⣀⣱⠀⢡⢡⠹⡢⠹⡛⣬⣄⠔⡇⡄⠡⣠⠈⡟⣼⠥⠊⠀⠀⠀⠀⠀⠀⠀⠀⠟⡀⠀⠀ ⠀⠀⠀⣀⠄⠤⠒⢱⢌⡊⢷⡻⠅⢂⣁⣀⠄⠀⠈⠢⢄⠈⡄⢹⡄⠑⢌⣯⣬⠚⠒⠒⠓⣳⠖⡁⣀⣀⣀⠀⠤⢄⠠⠂⠀⢠⠀⡗⢄⠀ ⠔⠁⠁⠀⠀⠀⠀⠀⠁⠒⠘⠲⣻⢊⢤⠤⠤⠀⠀⠀⠀⠉⠂⠤⠾⢠⣾⢻⠴⣽⣵⣖⣤⣫⣪⣥⠤⠤⣀⡠⢤⡀⠀⠀⠀⢸⠀⢠⠀⠳ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⣶⣶⠲⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠙⢆⠀⠀⠉⠓⠀⢌⠪⠧⠈⠪⢅⡴⢸⠀⢸⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⣆⠈⠫⠕⠶⠖⠈⠶⣀⡀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⡌⠀⣸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⡤⠶⢓⠤⣀⠀⠀⠀⠀⣸⢹⣶⣤⢄⣀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⡸⢀⠜⣞⠤⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⠛⢄⠙⠀⠀⠀⠀⠈⠀⠊⠁⠒⠰⠧⣟⠋⣓⠙⢰⣟⡿⣶⢇⠀⠀⠀⠀⠀⠀⠀⠀⡰⠗⠁⡰⢹⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠁⠒⠼⢜⡌⠚⢮⣄⠀⠀⠀⠀⠀⠀⡜⠁⢀⠜⠁⡼⡙⢄ ⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠥⠚⣮⢦⠀⠀⠀⡠⢮⢤⡚⠁⠀⠀⡇⡿⡄ ⠒⠤⣂⢄⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⣖⠬⠓⠊⠱⠴⠊⠉⠒⠢⠬⢂⣀⢠⠁⢰⠘ ⠀⠀⠀⡑⠳⢎⡁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢤⡂⠥⡊⠥⠐⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠚⠤ ⠀⠀⠀⠀⠀⠀⠈⠑⠢⢌⡐⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢄⣂⠯⠐⠊⠁⠀⣞⠡⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢌⡐⠀⢀⡀⠄⢒⡫⠔⠊⠁⠀⠀⠀⠘⠓⢲⣼⣿⣋⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠚⠔⠊⠁⠀⠀⠀⠀⠀⠀⣀⣤⠞⠋⠁⠀⠈⠉⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠒⠈⠀⠀⠀⠀⠀⠀⠀⠱⠀⠀⠀⠐⠀⠠⡅⠀⠀⠀⠠⠀⡆⠀⠀