⡒⢧⢫⠳⡭⢯⠽⡭⢏⣯⠻⣝⢯⡻⣝⢯⡟⡽⢯⡟⣽⠯⡿⣽⢯⣻⡝⣯⠻⠙⠉⠋⠙⠙⠉⠛⠝⠯⠻⣝⢯⠿⣝⣯⠿⡽⢯⠿⡽⢯⠿⡽⣏⢿⡹⣏⢿⡹⣏⢯⠽⡭⢏⡷⡹⢎⠷⣙⢎⢧⢛⡬⠳⡜ ⡹⢎⡏⣷⠹⣎⢷⡹⣏⢶⣛⡮⣗⣻⢞⣧⢿⣹⢷⣛⡷⣻⢳⡽⡎⠇⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣏⢾⣻⡽⢯⡿⡽⢯⣟⡷⢯⣛⣷⣛⣮⢷⣛⡮⣟⣹⢳⡞⡽⣹⣚⡭⢞⣎⠳⣜⠳⣜ ⣱⢫⡜⡮⣝⢮⢳⡝⣮⢳⣏⢾⣱⣏⠿⣼⢳⣻⢞⣽⡳⣏⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⣳⢻⣏⣷⢻⣟⡮⢿⣹⢯⣶⢻⣜⣧⡻⣜⢧⣏⢷⡺⡵⣣⢳⢎⢯⡜⣣⣍⠳⣜ ⡒⡧⡽⣱⢎⡯⣳⡝⣮⢳⢾⣹⢞⣼⡻⣭⢯⢷⣻⢎⡷⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⢻⢞⣭⣟⣮⡽⣯⢷⣛⣮⣟⢾⡲⣟⡽⣺⡜⣧⢻⡵⢫⢧⢏⢾⡸⡕⢮⡹⡜ ⣙⢖⡳⡭⢞⣱⢳⢞⡵⣛⣮⢳⢯⣶⢻⡽⣞⢯⡞⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⡴⣃⠀⠀⠀⠀⢻⢞⣮⢷⣛⡾⣽⣛⡶⢯⢷⣛⣮⢷⡳⣽⢳⢏⡞⣯⢞⡹⣎⡵⣋⢧⢳⡹ ⢺⡌⡷⣙⣏⠞⣝⢮⡳⣝⢮⣛⣮⢗⡯⢾⡭⣷⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡰⣏⢾⣱⠣⢆⠀⠀⠀⠀⢛⣮⢟⣭⢷⣻⣼⣛⣯⢯⣝⣮⢳⡽⣎⡟⣮⡝⣶⢫⡳⢭⢶⣙⢮⢣⢳ ⢣⢞⡱⡭⢎⢿⡸⢧⡻⣜⡳⣝⢮⣻⢼⡻⣜⠧⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠫⠝⢫⡞⡥⠋⠂⠀⠀⠀⠀⠀⢟⡾⣭⣟⣮⢗⣻⣼⣛⡮⢷⣛⢾⣱⣛⢶⡹⣎⢷⣹⢋⡶⢭⣚⡥⢏ ⣍⢎⡳⢭⣛⣬⠳⣏⡵⣫⠷⣭⢻⡜⣧⣛⢮⣛⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠂⠂⠀⠐⠫⣝⠆⠀⠀⠂⠀⠀⠀⠀⢺⡹⣗⡾⣭⣟⣳⢧⡟⣽⢳⣏⡞⣧⣛⢮⡳⣝⢮⢵⢫⢞⡱⢮⡜⣭ ⡜⢮⡙⢧⢞⡲⢻⡜⣵⢫⡝⣮⢳⣛⢶⡹⣎⡗⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⣀⠀⠀⠀⠀⠀⠀⢠⠱⣎⠷⡀⠀⠀⠀⠀⠀⠀⢰⡻⣝⣾⢣⣟⣞⣳⢯⡳⣏⢾⡹⣖⢯⡳⣝⢮⡝⢮⣋⢮⡓⢧⡚⡴ ⡸⢇⣻⢛⣜⠻⡧⢼⣃⢿⡸⣇⢿⡸⡟⣧⢻⡸⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⠸⣄⡛⢿⣻⣛⢧⣄⢧⣛⠿⢀⣟⡣⡜⠠⣀⠀⠀⠄⢸⣻⣼⣸⠿⣼⣸⢻⣼⢣⣟⢧⢿⡸⣇⢿⡸⢇⡼⢇⡻⣤⢛⣇⠻⣤ ⡱⣋⠶⣩⢎⠷⣩⢗⢮⡳⢽⡸⢧⣻⢹⣎⢷⣩⠃⠀⠠⠀⡐⠀⠀⠀⠀⢀⠓⡬⢭⣳⢭⣟⡾⢮⣳⡝⡆⠋⠈⠑⠀⠐⡌⠆⠀⢀⡟⣶⢽⣚⡯⢷⣹⢏⣾⡹⣎⡟⣮⢳⡝⣮⠽⣹⡜⣫⢕⣎⠳⣬⢓⠦ ⠲⣍⢞⡱⢎⢯⡱⢞⠮⣵⢫⡝⣧⢏⡷⣎⢷⣊⠀⠀⠀⠤⠁⠀⠀⠀⠀⠀⠭⣜⢣⡝⡾⢼⡹⣏⡷⣺⢵⢪⠝⡃⠆⠐⢎⠀⠀⢯⡝⣮⡗⣯⣝⢯⡞⣽⢲⡝⣮⡝⣮⢳⡹⣖⣫⠵⣚⡵⣊⣎⠳⡜⢎⡳ ⡱⢎⢮⡱⣋⠶⣙⢮⡛⣖⢏⡾⢼⣙⢶⡹⡖⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡰⢌⡳⣝⣭⢳⡝⣮⢳⡝⠎⠀⣀⣀⠀⠀⠨⠀⠀⠰⡹⢶⡹⣞⡼⢧⣻⡜⣧⣛⢶⡹⣎⢷⣙⠦⣧⢛⡵⢪⡕⢎⡳⣙⠮⡔ ⠱⡎⠶⣱⢩⠞⣭⠲⣝⡜⢮⣓⢯⡺⢥⡻⢼⡁⠄⠀⠀⠀⠀⠀⠀⠐⠀⠀⠡⣋⠶⣍⣞⣣⢟⡵⣫⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⢫⡵⣫⢞⡳⢧⣛⢶⡹⢮⡵⡹⢦⡛⡞⡴⢫⣜⢣⠞⣥⠳⣡⠞⣘ ⢣⢍⡳⡡⢏⠞⡴⣋⠶⣍⠷⣊⢧⢏⡳⣝⡣⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠼⣘⠦⣏⠞⣵⡓⣆⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⢂⠳⡜⢧⢯⡝⣧⢫⡞⣹⠶⣩⢗⡣⣝⢮⡱⢳⡌⢧⡛⣤⠓⡥⡚⢥ ⡘⢦⡱⡙⣬⠛⡴⣩⠞⣬⢳⡙⡮⣍⢗⠮⣕⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣉⠺⣌⠻⣔⠻⡜⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠛⣜⠮⣝⡼⢣⣝⡣⢏⡵⢎⡳⡜⢦⡙⢧⢚⡥⢚⡤⢋⡴⣉⠖ ⡘⢦⠱⣉⠦⡛⢴⢣⡙⢦⢣⡝⡲⣍⣎⠻⣌⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢈⠕⣊⢳⠹⣘⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡙⢬⡛⡴⢭⠳⣌⡳⣍⠞⣥⢳⡙⢦⡙⢮⡱⢌⠳⣌⢣⠒⡥⢚ ⠘⣆⠛⡤⡓⢭⢒⡣⢝⡪⠕⣎⠵⢪⡜⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢀⠫⡱⢣⠞⡱⢌⠂⠀⠀⠀⠀⠀⠀⠀⠈⠀⠙⠜⣣⠛⡴⢳⣌⠻⡔⣣⡙⢦⡙⢦⠱⡩⠖⡌⢦⡙⡔⢣ ⡉⢦⡙⠴⡙⠦⡍⣎⡱⢎⡝⢬⡚⡱⢬⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⡀⠀⠀⠀⠀⠀⠂⠉⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠣⠌⡃⠙⡴⣉⠖⣩⢒⢣⢣⠙⡜⢢⠱⡘⢢ ⠘⡆⢍⠲⣉⠖⡱⢢⢕⠪⡜⣡⢚⡱⢊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠄⢃⠰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠄⡋⢆⠣⡙⢌⡱⢊⢅⠣ ⠱⡘⣌⠓⡌⢎⡱⢃⢎⡱⢜⡡⢚⠴⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠐⡈⠰⡈⢒⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠣⡉⢆⠆⠣⢌⠒ ⢢⢑⠢⣍⡘⠦⡡⢍⢢⡑⢎⡔⡋⢖⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡠⢃⡐⢡⠘⠤⡓⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⢈⠌⢣⠘⡌ ⢢⠡⢎⡰⠘⢆⡱⢊⠴⣉⠲⢌⡱⠊⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡑⢆⡱⢂⡙⢦⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠘⠄⢣⠘ ⠢⡑⢢⢡⠙⢢⢌⠱⠒⣌⠲⢡⠂⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠠⢄⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡃ ⠰⡁⠎⡄⡋⡔⢊⠥⠩⢄⠃⠆⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢌⠱⡈⢆⠩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡐⢡⠊⡔⠡⡜⡈⠆⡍⢢⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠎⡰⢉⠆⡱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⢃⠜⡠⢃⠔⡡⢚⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠣⡐⢡⠊⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⡅⠊⡔⢡⠊⡔⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠑⢢⠉⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⡑⢌⠰⢁⠢⣁⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠢⡑⢌⠢⡑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⡰⠈⡔⠨⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⡑⢌⠢⡑⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⡠⠡⠐⠡⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠤⡘⢠⠓⡌⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⢁⠂⡉⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠔⡁⢆⠱⢠⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⡀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠈⠔⡈⠆⠩⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀