⠀⠀⠀⠀⠀⣻⠅⠀⠀⠐⣀⠀⠄⣈⠂⠀⠀⠀⢀⢄⣠⢑⡀⠀⠀⡀⠄⠐⠀⠐⢀⠀⡀⢀⣒⣀⡀⠐⠀⠀⠄⢠⠺⢋⠩⡂⠠⡀⠀⠀⠀⠀⠀⠀⡆⢄⠀⠀⠀⠀ ⠀⢠⢠⢄⢜⠃⢀⡐⠅⠁⡰⡆⠀⠌⢱⠀⠔⠀⢤⡒⠈⠀⠈⠐⠷⢰⡨⠈⠠⠀⠂⠈⠀⠀⠀⠀⠀⠀⢠⠖⠔⢃⡁⣀⣂⣀⣢⣒⠐⠐⢇⡁⠈⠀⠘⡀⠐⠄⠀⠀ ⠀⢐⠄⡈⡏⠠⢒⠓⠀⠠⠂⣦⡀⡤⣓⢳⡡⣊⡉⠀⠀⢀⠀⠀⠀⠀⠐⠒⠡⠨⠠⠆⠀⠔⠠⠰⠐⠐⢉⣄⣞⣶⣯⠻⣫⡍⢙⠟⠻⢟⣦⣑⡂⢄⡄⠆⠀⠈⡏⢂ ⢀⡉⢰⡇⡑⠺⢊⣸⣂⢰⠁⡃⠍⣊⢠⢟⢞⣩⡯⠾⠾⢦⣾⣚⢆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⣾⣿⣾⣶⣼⠋⠄⠐⠀⠫⢸⠦⠌⣛⢷⣆⡈⠛⢀⠀⡐⠒⠰ ⠔⣰⣾⠃⣈⠊⢢⢣⠟⠰⢠⡝⢠⡟⣽⠑⣸⠝⠈⠀⠀⠀⠈⠿⣷⣜⢂⠀⠀⠀⠀⠀⠀⠀⠀⣷⣟⢽⣿⣺⣿⡇⠀⠉⢃⡠⠈⡂⡂⠖⢅⡓⣿⣿⡄⠀⠱⢀⢈⠀ ⢐⡉⡗⠀⢿⣩⣲⠕⠋⣆⢚⢰⢽⡏⣿⡾⠁⠀⠀⠀⠀⠀⠀⠀⠈⢷⢷⣀⠀⠀⠀⠀⠀⠀⡨⢻⣿⢟⡧⣯⣿⠧⠀⠀⠀⠀⡐⠰⢀⠎⡀⣊⡩⣿⣧⢥⠀⡱⡐⠀ ⠸⣼⣡⡐⡒⠨⢤⢉⢡⣻⣹⣟⣸⣗⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⣾⡀⠀⠀⠀⠀⢀⡏⡸⣞⡧⡧⣧⢴⣋⠀⠀⠀⠀⠀⠈⠀⠊⠀⠂⡌⡿⢻⣉⣖⡅⡂⠀ ⢽⣽⡮⠔⠉⢴⠰⡤⢓⢔⣶⢿⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⢸⢃⠀⠀⠀⠀⢸⠀⣂⣿⡽⣟⢷⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣹⢯⠍⣾⠠⠀ ⠍⣒⣷⢿⣱⣳⢿⢟⢹⢔⣿⠁⣸⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⠩⡀⠀⠀⠀⢸⠀⡿⣿⣧⣿⡖⣯⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⣿⠸⢈⠇⢀⠈ ⡨⣎⠿⢑⢨⡟⢍⠈⢘⢲⣿⠀⢸⣷⣸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⠅⡂⠀⠀⠀⢸⠀⠁⡽⣾⡞⣗⣿⣾⡦⢀⡀⠀⠀⠀⠀⠀⢀⣜⠃⡟⣸⡂⠙⡀⡢⠃ ⢱⢊⢭⣓⡈⢰⠁⠀⢸⠚⣿⡄⠀⣿⢿⣾⣿⣄⡀⠀⠀⠀⠀⢀⣴⣽⣿⣻⣶⡇⠀⠀⠀⢸⠀⠀⠈⢺⣻⣽⡻⡷⣟⢧⣨⣢⣀⣀⡀⣠⠎⠃⣠⡧⣾⠌⠀⣂⡽⠂ ⠈⡌⢢⣷⣆⢑⠀⠀⠈⣆⣿⣷⠀⢩⣿⢿⣿⣿⣛⣟⣛⣿⣟⣹⢽⣾⣷⣻⣑⠅⠀⠀⠀⠘⡇⠀⠀⠀⠳⣿⣷⣷⣮⡟⣏⣙⣓⣲⠛⣃⡾⣻⣗⣷⡟⠀⠀⣕⢝⠀ ⠀⠈⢘⣿⣿⢳⠀⠀⠀⢸⢹⣾⠀⠈⠻⣿⣯⣿⠿⣿⡿⠽⢾⣷⢿⣞⣩⡼⠂⠀⠀⠀⠀⠀⠐⣦⠀⠀⠀⠈⠓⢍⡛⢯⣍⣿⣙⣒⢯⣷⡫⣻⡿⠻⠳⢀⠊⢫⣣⠁ ⠀⠀⠈⢹⡎⢣⢱⡀⠀⠀⢣⢛⢷⣄⠀⠈⠙⠫⢿⣿⣖⣽⣓⡺⣭⢷⢏⠃⠀⠀⠀⠀⠀⠀⠀⠘⣵⢄⠀⠀⠀⠀⠉⠉⠙⠚⠛⠉⠉⠉⠉⣵⢜⡡⡚⠁⠋⣷⡷⠀ ⠀⠀⠀⢨⣕⢩⡆⢥⠀⠀⠀⢂⠎⢛⣇⣀⠀⠀⠀⠀⢀⣀⢔⢟⠹⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡮⡮⣊⡒⠁⠀⠀⢹⣺⡀ ⠀⠀⠀⢰⠙⣮⡺⣇⢡⠀⠀⠀⠈⠢⠸⢻⢭⢲⣒⣲⡶⠓⢁⡑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠫⠗⠤⠤⠤⠤⠤⠴⠊⠁⢆⠄⠁⠀⠀⠀⠀⣨⣼⡑ ⠀⠀⠀⠈⠆⠰⢙⠻⣄⡂⠀⠀⠀⠀⠈⠀⠈⠂⠲⠀⠐⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠶⠂⠀⠀⠀⠀⠀⢀⣿⢒⠆ ⠀⠀⠀⠀⠈⢂⣑⢅⠸⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠞⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠆⠁⠀⠀⠀⠀⠀⠀⠀⢀⢽⠕⢀ ⠀⠀⠀⠀⠀⠀⠈⢵⡀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣐⡼⢁⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⡻⡄⡸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠆⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡑⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣩⣈⣜⠃⠀⢶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠁⠀⠀⠀⠀⠀⢀⠠⢐⠋⠀⠀⠀⠀⠀⣠⠰⠀⠐⠃⠀ ⠀⠀⠀⠀⠀⡠⠈⠀⣺⣿⠀⢫⡃⠀⠙⢲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠂⠀⠀⠀⠀⠀⠀⡐⠈⠀⡀⠁⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀ ⠀⠀⠀⠠⢂⠌⠀⠀⢚⡹⡆⠘⡅⠀⠀⣮⠙⡲⢄⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠴⢰⠕⠁⠀⠀⠀⠀⠀⠀⠀⠄⠁⠀⠠⠈⠀⠀⠀⠀⠀⠀⠀⢐⠁⠀⠀⠀⠀⠀ ⠀⢠⣈⠀⠀⠀⠀⠀⠋⢈⢿⡸⡃⠀⠀⣇⠀⠀⠀⠑⠚⠛⠓⠲⠴⠶⠮⠥⠅⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠄⠁⠀⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⡾⠂⠀⠀⠀⠀⠀⠀⠀⢐⠘⣺⡂⠀⠀⣷⡄⠀⠀⠀⡚⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠙⠀⠀⠀⠀⠄⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⢿⢰⣀⠂⢹⢳⠀⠀⡀⠀⠀⠀⢖⠃⠀⠀⠀⢀⠐⠀⠂⠀⠀⢀⠀⠁⠀⠀⠀⡐⠁⠀⠀⠀⠀⠐⡖⠃⠀⠀⠀⡐⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣺⠾⠁⣠⡞⡇⠀⠸⠠⠐⠒⢡⠀⠀⠀⠠⠀⠈⠠⠈⠀⢀⠐⠀⠀⠀⠀⠀⠨⠄⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢄⡛⠈⡠⠓⠀⠀⠀⠀⠠⠁⠀⠄⠈⠀⠀⣠⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠚⠂⠁⠀⢸⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠘⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀