⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⡗⠨⠵⣀⣀⠀⠀⢈⡄⠑⠄⡀⠀⠀⠀⠀⢀⠴⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠤⡀⠀ ⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠀⠀⢀⡗⡀⠀⠀⠠⠐⠈⠉⠁⠀⠀⠈⡑⠒⠂⠈⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⡠⠒⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠁⢈⡄⠀⠘⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣇⠈⠁⢀⡜⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡄⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢗⠯⡂⠀⠀⠠⠀⡀⡠⠋⠣⣀⠀⠠⣀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠈⠻⢗⠠⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢏⡞⠀⠀⠀⢀⠼⣠⠃⠀⠀⠀⠈⠺⡄⠀⠈⠘⢦⡞⢤⠀⠀⢀⠀⠀⠀⠀⢤⡎⠀⠑⠢⢄⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣀⠬⢊⠀⢀⠀⡬⠊⠀⠘⠂⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠛⣄⢸⠀⠀⠀⠀⠈⡾⠢⢄⠀⠀⠉⠂⢄⡀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣔⢹⡟⠀⠘⣤⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠳⣤⣀⠀⠀⠀⠀⠀⠘⢾⡀⠀⠀⠀⠀⡱⡄⠀⠈⢰⠤⣀⠀⠈ ⠤⢸⡀⠀⠀⠀⠀⠀⠀⢰⢽⢻⢇⠀⡀⠉⣂⠤⠔⠒⡋⠁⢆⠀⠀⠀⠀⠀⡉⠉⠙⢒⠠⠀⠀⠈⡇⡆⠘⢀⠀⢺⣡⠀⠐⢸⠀⠀⠁⡦ ⠊⠁⠂⠅⣒⠂⡀⠖⡔⣡⣺⣾⣾⣄⣝⣬⡤⠶⢶⣶⣾⡶⢮⡀⠀⣰⠟⠛⣉⡽⠿⣿⣛⡲⢶⣄⠟⠀⣀⠸⢠⢪⡇⠀⠐⢸⠀⠀⠀⡇ ⠀⣀⣀⣀⠀⠁⠩⢝⢲⣶⣿⣿⣧⣿⣿⠠⡐⠊⢝⣿⣿⡛⢸⡿⠿⣿⡀⠐⠉⣀⣸⣿⣿⠯⢻⣿⣿⣴⣿⣟⢃⠛⣧⠀⢈⢸⠀⠀⠀⡇ ⠊⠁⠁⠁⠐⠚⢻⢚⣾⢹⣿⣿⣷⠿⣿⡄⠈⠁⠈⠉⠀⣀⣾⠃⠀⠹⣧⣄⣀⣀⣀⣀⣀⣠⡾⠁⣴⣿⣿⡜⡜⢀⢹⠀⠠⢸⠀⠀⠀⡇ ⢀⢤⠊⠒⠒⣶⡶⠚⠗⢸⣿⣿⣿⣧⠡⠛⠛⠛⠛⠛⠋⠉⠸⡂⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⣾⣿⣏⣅⡇⠘⢸⠀⢰⢸⠀⠀⠀⡇ ⠁⡸⠀⠀⠤⠛⠃⡀⣢⢸⣿⣿⡏⣗⢦⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⠈⠀⡇⡄⠀⢸⢸⠀⠀⠀⡇ ⠁⠀⡠⠤⣄⢶⣶⠖⠁⡿⣿⣿⡇⡇⢪⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⢀⠁⠀⢸⢸⠀⠀⠀⡇ ⢔⡸⠤⣖⠠⢀⠻⣷⠶⠾⠿⠟⡇⡇⠀⠙⡄⠀⠀⠀⠀⠲⣖⡂⢐⠒⠶⠶⠀⠀⠀⠀⠀⠀⠀⣰⠻⣿⣿⣿⣿⡌⠀⠀⢸⢸⠀⠀⠀⡇ ⡈⢲⠡⡬⠖⠁⠀⢨⡄⠀⠀⠀⡇⡇⠀⠀⠈⢆⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢀⢎⡎⠀⠀⢸⠈⡇⠀⠀⠀⢸⢸⠀⠀⠀⡇ ⡜⣹⠚⠁⠀⠀⠀⠘⡇⠀⠀⠀⡇⡇⠀⠀⠀⠘⡵⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡔⡉⢆⠃⠀⠀⢸⠇⡇⠀⠀⠀⢸⢸⠀⠀⠀⡇ ⠲⢿⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⡇⡇⠀⠀⠀⠀⡗⠈⠳⣄⠀⠀⠀⠀⠀⢀⣠⠲⢍⠡⠪⠁⢹⠀⠀⠀⢸⠀⡇⠀⠀⠀⢸⢸⠀⠀⠀⡇ ⡙⢸⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⡇⡇⠀⠀⠀⠀⣠⠈⠀⠌⡦⣤⣶⣶⠟⢫⢁⠣⠌⠀⠁⠀⢸⣶⣄⠀⡏⠀⡇⠀⠀⠀⢸⢸⠀⠀⠀⡇ ⠁⢸⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⡇⡇⠀⢠⣾⣿⣿⣄⠀⠀⢼⠈⠅⠠⠘⡰⠀⠀⠀⣤⣴⣶⣿⣿⣿⣸⠁⠀⡇⠀⠀⠀⢸⢸⠀⠀⠀⡇ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡇⡇⠀⢸⣿⣿⣿⣿⣦⠀⠈⢣⠈⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⡃⠀⠀⡇⠀⠀⠀⢸⢸⠀⠀⠀⡇ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⡧⣄⣰⣿⣿⣿⣿⣇⠀⠀⠀⠀⠁⠀⠀⢀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⣇⡀⠀⠀⢸⢸⠀⠀⠀⡇ ⠀⢸⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⣧⣿⣿⣿⣿⣿⣿⣿⣿⡆⠆⠀⠀⠀⠀⢀⠂⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣼⣸⡀⠀⠀⡇ ⠀⢸⠀⠀⢀⣴⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣮⡀⠀⠀⢀⣂⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣧