⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢔⢒⡿⠯⠥⢦⣦⣾⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⢮⠊⠁⠀⠀⠀⠀⠈⠉⠛⠳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣝⡴⡔⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⣦⣶⣿⣿⣯⣿⢽⠁⢰⣢⣶⣦⣌⠠⠴⠆⠘⣀⠀⠀⠀ ⠀⠀⠀⠀⢀⠔⠁⠀⢂⠘⢻⢛⣛⠿⣝⠁⠀⠼⣁⡴⣖⣫⠙⠙⠿⡳⡅⠀⠀⠀ ⠀⠀⠀⢀⠂⠰⠀⠀⠈⡄⢠⢓⣺⢇⡇⣊⠐⠀⠉⠁⠲⠒⠀⠀⠀⠑⠅⠀⠀⠀ ⠀⠀⠀⣨⠀⡇⠀⠀⠀⠰⢸⠄⠄⣸⣷⡦⣄⢤⠄⢄⡀⣀⠤⠠⡀⠀⠈⡄⠀⠀ ⠀⠀⢠⠁⠙⣇⠀⠀⠀⠀⢾⠘⢠⣿⣟⣿⣿⣪⣮⣶⣸⣮⣖⣢⣌⠁⠀⠁⠀⠀ ⠀⠀⢸⠀⠀⢹⠀⠀⠀⠀⠸⠀⢝⣻⣯⣿⢿⡫⢺⡩⠍⣉⣉⣨⡗⠉⠂⠊⠀⠀ ⠀⠀⡈⠂⠀⣾⠀⠀⠀⠀⠀⠆⡸⣹⡿⣿⣯⣷⣱⣙⠫⠧⠷⣦⠀⠀⠀⠀⠀⠀ ⠀⢠⠇⠀⠀⢉⠀⠀⠀⠀⠀⠈⠕⣻⣿⣿⣿⣟⣿⣿⡷⣶⣾⠿⠒⡁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠈⢇⠻⠽⣿⡿⢟⣿⣻⡟⠁⠰⣯⡕⡰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢩⠀⠀⠀⠀⠀⢀⠬⣍⠱⠨⠯⠛⠙⢏⠀⢀⡀⣨⡀⠤⢚⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⢸⠄⠰⡶⠲⢦⠓⠍⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠡⡀⠀⠀⠀⠀⠀⠀⡄⠀⢀⠄⠊⠉⠙⠑⠒⠊⠉⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⠟⠀⠀⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣦⡀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣄⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠞⠋⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣏⣙⡿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡠⣠⣄⣀⣀⡀⠀⠀⢀⡶⡀⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⠿⠙⠙⣛⣒⣼⣅⣤⣼⡾⣿⡶⢥⢧⣿⣏⡼⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠏⠉⠑⢐⣂⣴⠟⠋⠉⠀⠀⠀⠈⠀⠁⠿⢻⢴⣓⣯⢿⣗⠶⣏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣿⢃⠼⢂⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠈⠸⠻⢤⡏⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⣱⡟⡥⣊⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢁⣧⣾⣤⣿⣇⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡷⢸⢻⡾⢇⠒⢣⢒⣢⣆⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢸⣷⣫⣹⣾⡿⢛⣯⣫⡤⣌⡃⣀⣴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣉⣷⢰⡟⢿⡿⣻⣧⢻⡟⣡⡛⢿⡉⡿⠟⠀⠀⢠⢔⡻⢠⠲⡶⠴⢦⡀⠀⠀⠉⢛⢛⡚⠲⠤⡤⢀⠀⠘⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⢤⣤⣄⣀⣳⢚⠸⢾⣿⣞⣱⣿⣥⣿⠷⢏⡹⢾⣴⣛⠦⠀⠀⠀⢉⡄⣾⣾⡿⠺⢷⣿⣿⡦⡄⠀⡁⠈⠙⣳⠋⠉⠀⠀⣿⡀⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠓⡶⢯⡁⠀⠈⢉⡛⠿⡭⣿⣤⣲⣶⣼⠖⡤⢺⠴⣿⠆⠌⠀⠀⠀⠀⣺⠿⡅⠈⠀⢀⣤⢤⣬⣍⡳⠯⣦⣴⡷⡣⣶⡧⠗⣚⡉⠹⡇⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠁⠀⠀⠀⠀⠈⢧⠀⠀⠉⠙⣿⣿⠋⢁⣐⠉⠿⣷⣧⣲⣟⠂⠀⠄⠁⠐⢦⢻⣀⠀⠀⣴⠟⠉⠁⠀⠙⢿⣷⡌⠹⠀⠈⢻⡶⠟⠉⠙⠛⢷⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠀⡞⠀⠀⠀⠀⠀⠘⣄⠀⠀⠀⣾⠃⡞⠉⠉⠻⣷⠀⢻⡷⠋⠀⣠⢀⠀⠘⠀⠆⠖⣓⢸⡇⠀⠀⠀⢶⠆⠈⢿⡇⠶⠀⠀⠀⠻⣦⠀⠐⠃⠈⡇⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⢻⡀⠀⠈⣿⡀⣷⠏⠙⡿⠋⡇⢸⣿⠀⠳⠈⢤⠀⠛⠓⠀⠀⠀⠈⢷⣄⠀⠀⠀⠀⣠⠿⠃⠀⠀⠀⠀⠀⠈⠻⣇⣀⣼⠇⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⢰⣿⣞⠸⠆⠰⣷⣄⠙⣼⣧⠀⠰⡀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠶⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀ ⠀⠀⠀⠀⠀⣾⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠘⡟⣽⡀⠀⠀⠈⠁⢰⢿⡶⡄⢂⠑⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀ ⠀⠀⠀⠀⢠⣿⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⠀⠧⠘⢷⡀⠞⠗⠀⣬⣞⡿⣽⡟⠡⡿⠥⣠⣧⣠⢦⠖⠀⠲⠀⠀⡀⠀⠀⣠⡴⠖⠋⠓⢶⡄⠀⠀⠀⠀⠀⠀⢹⡄ ⠀⠀⠀⠀⣸⠹⢦⡀⣤⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⠀⢸⡆⠀⠀⣤⣽⣍⡴⢷⢿⣄⣾⢟⢟⡀⣤⡄⢠⡔⠷⠞⠀⣁⡴⢿⡟⠁⠀⠀⠀⠀⠙⠦⠄⡄⠆⠀⠀⠀⠃ ⠀⠀⠀⣰⠟⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⢘⡇⠀⢷⠤⡤⢽⣦⣿⢻⠧⢿⣾⣁⢮⣛⠶⠃⣹⣋⣰⣰⠿⡋⢽⡾⣣⡁⡘⠿⠿⠶⢄⣀⠀⠀⠀⠀⠀⠀⠀⢲ ⠀⠀⠀⣿⠀⠀⠀⠀⢸⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣾⡅⠀⠸⣄⣶⣯⡟⢳⠞⣻⡿⣧⠬⢿⡷⢶⣏⣿⢿⣻⣹⣯⡶⣾⣭⠟⣵⡿⢧⡖⢦⣤⡭⣷⣀⢀⠀⠀⠀⠀⢸ ⠀⠀⠀⡟⡀⠀⠀⠀⢸⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠁⠀⠀⠹⡭⣖⣹⠻⣾⢏⣿⢛⣻⣈⣿⣟⡯⠰⣮⡁⠃⠉⠛⠙⠛⠛⠋⠉⠹⠂⠻⢿⣧⣶⠊⠙⠳⣆⡀⠀⡸ ⠀⠀⠀⡗⡇⠀⠀⠀⢸⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠰⢇⣆⣿⢶⢛⣾⠒⣿⡯⢬⣿⣩⠿⠁⠀⠀⠀⠀⣀⣤⣤⣄⣀⣀⣀⡀⠀⣸⡷⠮⠳⠀⠀⠀⠉⠉⠀ ⠀⠀⢀⣧⣇⠀⠀⠀⠀⡇⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠸⣬⣇⣧⣼⣾⠼⡿⢽⢿⠿⣭⡏⠘⣆⠀⠀⠞⠁⠀⠀⠀⠀⠈⠀⠉⠉⠉⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠃⠻⠄⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⢀⣶⡇⡼⢻⣺⣗⢺⡭⢎⡼⣐⣏⡷⠗⢘⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⢇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⣼⠉⢹⠷⡾⢻⢃⡞⠑⣿⣿⣏⣿⣡⣿⣣⣷⣝⣢⡀⠀⠀⠀⠀⠀⠀⣠⡿⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⡜⠀⠀⠀⠀⠀⠀⢸⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⢠⢸⡾⣽⣉⡗⠻⣿⣥⣻⣽⣰⣟⣡⢿⣻⣤⡷⢯⢷⣦⣦⡶⣶⠞⢿⡧⢗⣃⣴⡹⢳⠀⠀⠀⠀⠀ ⢸⠁⢱⠀⠀⠀⠀⠀⠀⠈⣇⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡈⣇⢙⣖⡾⣵⣴⢿⣀⣽⣹⡟⢶⣿⣾⣴⣷⣿⠓⣿⢿⢽⣿⣯⣽⠿⠒⠟⠀⠀⢀⠞⠀⠀⠀⠀⠀ ⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣘⡄⠸⣇⢹⡼⣉⣻⠤⢷⢼⠿⠵⣻⣧⣍⣿⡯⢽⢿⠯⢍⡿⠃⠀⠀⣀⡠⠒⠛⢢⣀⠤⣄⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠼⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⢏⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣧⡀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣄⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢋⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠋⠁⠀⠀⢀⢀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠶⠙⢛⣓⣽⣨⣽⡵⣷⢥⢧⣿⣡⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡶⢋⠉⢀⡥⠞⠋⠁⠀⠀⠀⠀⠐⠫⣺⡽⡝⣿⠲⣥⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣛⣗⡨⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠈⠻⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢣⣧⣎⣾⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡘⡷⣃⣚⣕⡆⢦⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⡐⣠⣿⣝⣿⢛⣽⢾⣒⠶⣥⡶⠁⠀⣀⡄⣀⡀⣀⠀⠀⠠⢀⣀⣀⡀⠀⠀⠸⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠰⠭⢣⣿⡼⣃⣟⣣⣧⡟⠾⣪⢭⡀⠀⠘⢊⢸⣴⡧⣮⣷⣤⣀⠀⡒⠒⢬⠝⠂⠁⢿⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣴⠏⠳⠮⣉⠉⠩⣛⣯⣽⣮⡳⣧⣟⡄⡫⢮⠏⠅⠀⠀⠀⡿⠏⠈⠀⣠⣤⢭⣛⡿⣦⡺⢪⣴⠴⣒⣉⣻⠉⠀ ⠀⠀⠀⠀⠀⠀⣴⠏⢀⠀⠀⠀⠈⡇⠀⠀⠙⣿⢋⡬⣥⣛⠟⣮⣿⠁⠀⠈⢈⠂⠣⢤⢀⡞⠁⠀⡀⠙⣿⡄⡃⠀⠱⣟⠀⢈⡙⢶⠀ ⠀⠀⠀⠀⠀⡜⠁⠀⠇⠀⠀⠀⠀⠸⡄⠀⢸⡇⣇⡴⢤⡽⡆⣿⡅⢤⠓⠂⠤⠌⠉⠒⠸⣆⠀⠀⠉⠀⣸⠇⠁⠀⠀⠙⢧⡄⢀⡾⠀ ⠀⠀⠀⠀⣼⠀⠀⡼⠀⠀⠀⠀⠀⠀⢱⠀⢸⣯⠸⠄⢼⣄⠳⣿⡄⠠⢠⠁⠀⠀⠀⠀⠀⠈⠳⠦⠴⠊⠁⠀⠀⠀⠀⠀⠀⠙⢧⡁⠀ ⠀⠀⠀⢰⠇⠀⠀⡇⠀⠀⠀⠀⠀⠀⠈⣆⢸⠻⣆⠀⣀⠉⠰⣳⣒⣠⣡⣀⠀⡄⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⠀⡸⣇⠀⡀⠇⠀⠀⠀⠀⠀⠀⠀⠸⡈⡆⢹⠊⠉⠁⢾⢟⣱⣧⢘⢥⢴⠓⡚⠋⣀⣁⡄⠄⣀⣴⠎⠉⠀⠙⢦⡀⠀⡀⠀⠀⡇ ⠀⠀⢠⡇⠈⠁⡇⡁⠀⠀⠀⠀⠀⠀⠀⠀⡇⢷⠈⣣⣄⣺⣽⡾⡮⣿⡝⠵⠷⡵⢙⡞⣡⡴⢶⣺⣵⡙⡐⠶⡦⢄⡀⠀⠈⠀⠀⠀⢠ ⠀⠀⣿⠀⠀⠀⡇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠸⣮⠀⠸⣰⡾⣝⡷⠣⣟⡷⣻⣿⣲⡽⢿⣽⢽⣷⣺⣝⣣⣺⣿⠒⣦⡭⠧⣀⡀⠀⠀⠘ ⠀⠀⣏⠀⠀⠀⢠⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⠀⣱⠏⣼⣻⣏⣛⣭⠧⣿⢿⡂⠳⠀⠁⠈⠈⠉⠉⠀⠘⠈⢹⣷⢯⡀⠙⠣⠤⠜ ⠀⠀⣇⡅⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⣞⣏⣃⣿⣰⣟⣽⣿⣻⠁⢄⠀⠠⠔⠉⠉⠛⠒⠒⠒⠚⣏⠁⠀⠀⠀⠀⠀ ⠀⢸⠋⠣⠀⠀⢰⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⣠⣆⡹⣗⣟⢺⡵⣡⣓⣿⠶⣘⢆⠀⠀⠀⠀⠀⠀⠀⢀⣤⠟⠀⠀⠀⠀⠀⠀ ⠀⣼⠀⠀⠀⠀⠈⡆⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠏⢸⢳⢚⣧⣮⣹⢿⣧⢯⡾⢧⣷⢥⢦⣀⠀⠀⠀⣠⣾⢳⡆⢀⣀⠀⠀⠀⠀ ⡼⢡⠀⠀⠀⠀⠀⢣⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⢇⢻⢒⡾⣈⡟⢹⢾⡾⣲⣿⣺⣻⡽⣽⣟⣿⣹⣽⡟⢵⠒⠓⢡⠂⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠈⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡜⡈⢻⠈⣽⣚⡯⢭⢵⠟⢽⣏⣻⣗⢿⢳⢻⡿⠋⠀⢀⡠⠔⠧⣀⢀⡀⠀