⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠍⠋⠻⢿⠷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⡘⠠⢀⠈⢷⣯⣛⠿⣷⣄⣀⣀⣤⣤⠤⠤⠤⠤⢤⣤⣄⣀⠀⠀⠀⠀⠀⢀⣠⡤⠾⠿⠉⠉⡁⢀⢈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢯⡀⠄⡁⠀⡄⠠⠙⢿⣿⣼⣝⣿⡿⠃⠀⢀⠀⠄⢀⠠⡀⢌⠉⡉⠛⣶⣤⠶⠛⠙⠠⢀⠂⠠⠀⠉⠀⣼⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠤⡠⠠⠀⢃⠠⠄⡃⢀⠘⠿⠻⠟⠀⠀⠀⠀⠄⡀⠄⠄⢃⠀⡀⢸⣼⠟⠃⠃⠄⠘⠀⠀⢄⠃⠄⠃⠤⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠰⠄⠡⠐⠀⢂⠐⠀⠂⠀⠀⠀⠀⠀⠀⠀⢀⠂⠡⢈⠐⠂⠄⠀⠈⠁⠀⠄⠐⠀⠠⠑⡈⠄⡈⠐⢠⠒⣽⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠄⠃⠄⠡⠈⠀⠀⢁⠈⢀⠡⢀⡠⠀⡄⠈⠄⡈⠄⡡⢈⠐⠠⠈⠀⠄⡁⠠⢈⠀⡁⢂⠡⢐⠠⢁⣮⣹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠧⠐⠈⠄⠡⠀⠌⡀⢀⣄⡄⠂⠄⢠⠁⠄⡁⢂⠁⢀⠀⠄⢀⠠⠀⢁⡀⠠⠐⠀⠢⠐⡀⠂⠄⠂⣼⢛⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠐⡀⡈⣄⣵⠾⠛⠋⠉⢻⣆⠈⠄⢈⠐⡠⠈⠄⡀⠠⠀⣤⡾⠛⠳⠶⣤⣀⠃⠄⠑⢈⠁⠠⣙⢣⣿⣿⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠁⠀⠀⢠⣴⠞⠋⠀⠀⠀⠀⠀⠀⠻⣧⡀⠀⢂⠐⠠⠀⡀⣢⡾⠋⠀⠀⠀⠀⠀⠙⠻⢦⣄⠂⢀⢣⢼⣿⡿⣾⡽⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠞⢉⣿⠇⠀⢀⣰⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣾⣴⡪⣔⣱⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣎⡾⣿⣻⣽⣳⢿⡽⣿⣿⣽⣻⢿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠞⠉⠁⠀⢠⢾⣿⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢧⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣳⢯⣿⣻⣟⣿⣿⣷⢯⡿⣾⣽⣻⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠻⠁⠀⠀⠀⠀⠄⠂⣘⣿⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣯⢷⡿⣞⣿⣿⣯⡿⣽⣳⢯⡷⣿⣾⠄⠉⠻⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠈⡈⠀⠐⠈⢿⣇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣯⢿⣻⣿⣿⣯⣟⡿⣽⢯⡿⣽⡗⠨⠁⢀⠠⠙⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢂⠐⠌⠠⠐⠘⣿⣿⡇⠀⠀⠘⠳⢤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡄⠀⠀⠀⢸⣿⣯⡿⣷⣿⣿⣳⢯⣟⣯⢿⣽⢳⠈⠄⠐⡀⠀⠌⠐⠘⠻⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⠠⠀⠀⠀⠀⠀⠁⠠⠈⡄⠡⠀⠂⡉⢿⣿⣄⠀⠀⠀⠀⠀⠈⠉⠙⠛⠒⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⡗⠶⠖⠶⠶⠒⠚⠛⠋⠀⠀⠀⠀⠀⢸⣿⡿⣽⣿⣿⣳⢯⡿⣽⢾⣟⣎⠣⠐⡈⠄⡀⠡⠀⠌⠀⠄⠃⢹⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠇⠀⣀⠐⠂⠀⠀⠐⠀⠀⠀⡐⠀⡁⠂⡄⠡⠌⠀⠄⠌⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣟⡷⣯⢿⡽⣯⡿⠚⡄⢁⠂⠄⠠⠐⡀⠌⠠⠈⡀⠄⢂⠨⠝⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⡕⠀⠀⡁⠄⠂⡁⠆⠈⠄⠒⠌⠀⡀⠌⠠⠁⠄⠡⢈⠠⣀⣦⣸⣴⣿⣿⣦⡀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⣿⣳⢯⢿⡽⢯⡟⢧⠃⠅⡐⢈⠐⡈⠐⡀⠀⠂⠐⠀⠄⡈⠄⢂⠐⠠⢹⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⣗⢮⣑⢢⢄⠢⡐⢄⠠⣁⢌⡰⣈⠤⡐⠤⢒⡩⢎⣱⢎⢷⠻⣏⣽⣾⡷⠟⠛⠙⠳⣤⣀⠀⠀⠈⠙⠓⠦⠤⣤⣤⣤⣤⣤⣤⠴⠾⠛⠉⠀⠀⠀⠀⠀⢀⣠⠶⠋⠈⠙⠻⣿⣶⣭⣛⢮⡝⣳⡜⢦⣈⠐⡈⠄⠂⠅⡈⠄⢂⠡⢈⡐⠀⠐⠈⠄⠂⠀⠄⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣻⠗⣎⢧⢫⢏⢯⡳⡝⣮⢳⡞⡼⣲⢱⡎⣗⣫⠧⣝⢮⣵⣾⣯⣷⡟⠋⠁⠀⠀⠀⠀⠀⠀⠈⠛⠲⠤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠴⠚⠋⠀⠀⠀⠀⠀⠀⠀⠙⠳⣾⡳⣜⢧⡛⠷⣎⣳⡰⢌⡰⣀⠐⡀⠊⠄⠂⠠⠐⠈⠄⠂⢈⠐⠀⠠⠁⡘⢷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⢭⡻⡜⢮⡝⣎⢧⡳⣝⢮⡳⢞⡵⣣⠟⣜⡲⢧⣻⣼⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣮⣝⢫⠶⡥⢏⡻⣴⢣⡗⣌⡲⡈⡔⢠⠁⢂⠈⡐⠀⠈⠌⠠⠁⠄⠠⠻⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣚⣥⢳⡹⣣⢞⡱⣎⢷⡹⢎⡳⡭⣖⣭⣾⣵⣿⠿⣟⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣧⢻⣼⢫⡳⣭⢇⡿⣜⣳⠳⡼⣡⢮⣅⢳⣈⠳⣘⠒⡤⢣⠜⡰⢘⠻⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣹⢻⣿⣖⣮⣇⣗⣣⣯⣱⣏⣶⣹⣭⣷⡿⣟⡻⣝⢮⢷⣽⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣯⢿⣿⣿⣶⣏⡶⣹⠖⣯⣕⢫⡖⣮⢳⣭⢻⣱⢋⡶⢳⣺⢱⡏⣿⣿⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠿⢺⣛⣿⡿⢿⣿⡿⠟⣿⠿⠛⣿⣿⢏⡷⣩⠷⣹⢮⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣾⣹⢿⣿⣿⣷⣯⡶⣭⡝⣮⠳⡭⣞⢭⡞⡭⣞⡱⣎⢯⢞⡱⢯⡽⣿⣆⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⢹⣇⡼⠋⠙⠶⠃⠀⢠⣿⣛⢮⡳⡝⣎⣷⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡞⣦⢳⣎⣟⡻⢷⣿⣶⣏⡗⣎⡳⢼⡱⢮⡕⡯⣞⠭⣞⢳⣼⣿⡿⣗ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⣿⣿⡸⢧⣛⠼⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡲⢧⣚⡴⣙⢏⡶⣫⢟⡿⣷⡿⣿⣿⣷⣾⣷⣽⣾⣯⣿⣾⡿⣟⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢧⣏⡳⢎⣻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⡳⢎⡝⣮⢱⣏⠾⣜⣿⣧⠀⠀⠉⣇⢀⡟⠛⠻⢦⣹⡙⠻⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⡾⣜⢧⣯⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣞⡵⣋⡞⠶⣍⢮⣻⣽⣿⣿⡄⠀⠀⠸⠟⠀⠀⠀⠀⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⢿⣹⢞⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣞⡵⣩⢟⡼⣣⢿⣾⣻⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢯⡷⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⣼⣱⣞⣳⣯⣿⣟⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣧⢿⣳⣿⣯⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡤⢤⣀⠀⠀⠀⠀⠀⢀⣼⠃⠘⢿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢿⣿⡿⣟⣿⣿⣿⣿⣿⡿⢷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢘⡇⠀⠙⡷⣤⠶⠶⠲⣾⠁⠀⠀⠸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠈⢿⣿⣿⣿⣿⣿⣿⠋⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣼⣇⢄⣸⣅⣸⡇⠀⠀⠻⣄⣲⣲⣀⣼⡿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠘⣿⡉⠉⢉⡽⠁⠀⠀⣘⣿⡀⠀⠀⠀⠀⠀⣀⡀⠀⠀ ⢠⣤⣄⣀⣰⡏⠀⠙⠶⠓⠋⠁⠀⠀⠀⠀⠈⠉⠉⠉⠁⠁⠘⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠿⣧⣀⡀⣀⣼⠇⠀⠀⠳⣤⡀⠠⢍⣿⠉⠳⣄⣠⡴⠛⢙⡇⠀⠀ ⠈⣿⠀⠈⢿⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠈⠙⠛⠛⠁⠀⠀⣟⠁⠂⠀⣼⠀⠀⠀ ⠀⢘⣷⣠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⣸⠋⠀⠀⠀ ⠀⠀⢸⡏⠁⠀⠀⠀⣀⣤⠴⠶⠶⠶⠦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢻⡄⠀⠀⠀ ⠀⠀⠸⡇⠀⠀⠀⣸⠋⠀⠀⠀⠀⠀⠠⠀⠉⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠈⢽⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⠀⢻⡆⠀⠀⣿⡆⠀⡀⠁⠀⠂⢀⠀⣂⡰⡌⣽⣦⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠇⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠉⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀ ⠀⠀⠀⠀⠹⡄⠀⢸⣧⢄⢠⡴⢰⡐⠦⣭⡵⡶⣽⢼⣻⣷⠀⠀⠀⠀⠀⠀⠈⢹⣿⣯⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⡆⠀⠀⠀⠀⠀⢀⣾⣿⢿⣈⠧⡐⠤⡄⣄⢠⠀⠀⠈⣷⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⡆⠀⢻⣾⣧⢳⣽⡍⢻⡔⢣⣿⣽⣯⣵⣿⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣾⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⣾⣯⡟⣶⢩⡞⣭⠛⣽⡞⣾⣷⣿⣧⣽⠂⠀⠀⠀⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢧⡈⠻⣿⡳⣦⢝⡣⣟⣽⣻⢾⡿⢷⣿⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⡽⠿⠿⠛⠓⠶⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣶⣾⣿⣿⣿⣿⢿⣿⡿⣿⣿⡄⠀⠀⠀⢸⣿⣾⡝⢦⣋⡶⣍⢾⣱⢺⡕⣳⢚⣷⡿⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣬⡙⠳⢿⣴⣛⣾⣝⣺⣿⠟⠃⠀⠀⠀⠀⣀⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠲⠤⣤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⠴⠶⠒⠛⠛⠛⠻⠿⠿⣿⣿⣿⣿⣿⣿⣿⣽⣿⡿⢷⣄⠀⠀⠈⢿⣿⣭⢛⡜⡳⣍⠞⡷⢻⡼⣱⣿⠟⠀⠀⣰⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⢤⣌⣁⣈⢀⣀⣀⣀⣀⣠⡴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠙⠷⣿⣼⣳⣌⣿⣼⡿⠟⠋⠁⣀⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠦⣄⣀⡀⠀⠀⠉⠉⣉⣁⣀⡤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠙⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬛⬛🟦🟦🟦🟦⬛⬛⬜⬜⬜ ⬜⬜⬛🟥🟥🟦🟦🟦🟦🟥🟥⬛⬜⬜ ⬜⬛🟦🟥🟥🟦🟦🟦🟦🟥🟥🟦⬛⬜ ⬜⬛🟦🟥🟥🟦🟦🟦🟦🟥🟥🟦⬛⬜ ⬛🟦🟦🟥🟥🟦⬛⬛🟦🟥🟥🟦🟦⬛ ⬛🟦🟦🟦🟦⬛⬜⬜⬛🟦🟦🟦🟦⬛ ⬛⬛⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬛⬛ ⬛⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬛ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜ ⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬜⬛⬛⬜⬜⬜⬜⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜