⠀⠀⠀⢀⡠⢊⡡⠔⠀⠀⠀⠀⡠⣕⠦⣙⢮⡛⢿⣿⣿⣿⣿⡿⢿⡿⠽⢗⠄⢳⡠⠤⠔⠒⠒⠒⠒⠒⠒⠲⣤⠤⣀⡀⠀⠀⢀⣜⠞⠀⠀⠀⠀⠀⠘⡴⠈⠹⣟⠀⠀⣿⠦⣈⡛ ⠀⢀⡴⢋⠔⠉⠀⠀⠀⠀⣠⠞⠉⢀⠔⠋⠑⠺⠷⣽⣿⠿⢯⠠⢴⢱⣴⣽⠿⠷⠍⠁⠀⠀⠤⠤⢄⠀⣀⣀⠤⠤⠤⠬⠵⠶⡿⠥⣀⠀⠀⠀⠀⠀⠀⢃⠣⣰⢹⡄⠀⢣⠤⠜⠀ ⠀⢉⠖⠁⠀⡠⣪⣶⣤⡎⠀⢀⠔⠁⠀⠀⠀⢠⣞⢵⣇⢠⣸⠾⣖⠟⠁⠀⠀⠤⠶⣒⠒⣠⢤⣶⠮⠛⠊⠁⠀⠀⠀⠀⠀⠀⠀⠉⠑⠻⢦⡀⠀⠀⠀⢸⠀⠁⠸⡵⠀⠀⠳⣄⠀ ⠀⠀⡠⡶⠋⠸⣿⣧⣿⡇⡴⠁⠀⠀⠀⢀⣔⣡⡹⡤⡋⡿⣡⠊⠹⡀⠀⠀⢀⣤⡶⣟⠽⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⣀⠀⠀⢇⠀⠀⢇⢣⡀⠀⠀⠈ ⡀⠔⠋⠀⠀⠀⠈⠉⢠⢎⡀⠀⠀⠀⡰⡫⣯⠉⣹⢾⣞⠞⣘⠖⠀⢁⣠⡾⣛⠕⠊⠀⠀⠀⠀⠀⢀⡀⠀⠀⢀⡤⡖⠀⠀⡀⡠⠀⠀⠀⠀⠀⠀⠈⠙⢆⠀⠑⢤⡈⠀⠉⠂⠀⠀ ⠀⠀⠠⠀⠀⠀⠀⡔⣡⠟⠀⠀⢀⡜⠁⣿⣟⡿⢣⡟⢮⠾⠃⢀⣴⠟⣡⠞⠁⠀⠀⠀⢀⣤⠖⠋⠁⣀⣤⠞⣫⠞⢁⠴⡫⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡀⠀⡽⣦⡀⠀⣠⠊ ⠀⠀⠀⠀⠀⢠⠎⣔⠏⠀⡀⢠⠊⢀⡜⣱⠋⣤⡻⠛⠁⣠⣾⠟⢁⠜⠁⣠⠞⠁⣠⠾⠋⢀⣠⡶⣽⡞⡡⣪⢏⡴⢁⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠲⡁⡟⢹⡶⠁⠀ ⣀⠀⠤⠀⡰⠃⣜⠎⠀⠀⣨⠳⣶⣾⢚⣓⣉⡡⠤⣔⢮⠕⠁⣠⠋⡠⡾⠃⣴⠟⢁⣤⡾⠋⢁⣾⣫⠞⢫⣿⠊⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⡣⢧⡿⡁⠀⡜ ⢀⡵⢄⡜⢀⢞⡎⠀⠀⡰⠁⢀⠞⡹⠉⢉⢭⢋⣯⡿⣫⠖⡰⢁⢜⠏⣠⡾⣡⠾⡫⠔⡹⡱⢻⣾⢟⢣⠃⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠀⠀⠀⠀⠀⠈⢗⠄⡇⠀⢸⠁ ⢯⢀⡴⠓⠉⣺⡀⠀⡴⠁⢠⠎⢰⠿⠀⢸⢸⢈⢟⡾⠁⢰⡱⢣⢋⣼⣫⢞⠕⠊⣄⡼⡰⣵⠟⠈⡿⣮⡀⢠⠃⠀⢀⠄⠀⠀⠀⠀⢀⠀⣠⡺⠁⠀⠀⠀⠀⠀⠀⠸⡍⣀⠀⠘⡀ ⣽⣿⣗⣠⣔⣥⣳⠊⡩⠳⡋⠀⡎⠇⢠⢞⣉⣯⢻⠁⠀⠟⢀⣮⣾⣵⣵⣥⣤⣤⣼⣵⡿⣅⠀⢠⢻⠀⢳⡎⠀⡰⠃⠀⠀⠀⢀⡴⢁⠔⡱⠁⠀⠀⠀⠀⠀⠀⠀⠀⢧⣟⡄⠀⣇ ⠻⢍⠉⠈⣟⣯⠥⠼⣊⢰⠀⢀⠁⢠⠳⢕⣿⠃⡆⠀⠀⢀⡜⣼⣿⡿⣛⣛⣭⣿⣿⣿⣷⡈⢷⡘⡎⠀⢸⠁⣼⠃⠀⣠⠂⣴⠏⣴⡇⣆⠇⡆⠀⠀⠀⠀⠀⠀⠀⠀⢸⣸⣽⡄⠈ ⠑⢌⡳⢄⣀⡸⠄⣠⠔⠁⠀⢸⠀⡆⡔⣹⢿⢠⠃⠀⠀⣼⢳⢹⠻⡏⠀⢾⣿⣿⢯⣰⣿⣿⡄⡇⡇⠀⡇⡜⠇⢀⡼⣡⡺⢣⡾⠋⣇⢿⣰⠀⠀⢀⡿⠀⠀⠀⠀⠀⠸⠀⢸⣿⢦ ⠀⠀⠈⠉⠉⠈⣉⠉⣩⣵⡆⢸⢼⡇⢧⡿⡘⢸⠀⠀⢠⠟⡇⡟⠀⢙⣼⡍⢏⡓⡟⣿⠟⠙⡿⡃⡇⠀⡿⠸⢀⣞⣼⣱⣱⠟⠀⢰⠸⣆⡿⡀⠀⣜⠃⠀⠀⠀⠀⠀⠀⣷⡽⣜⡄ ⠀⠀⠀⠀⣈⣉⠤⠚⠉⠁⠀⢸⢸⣧⢣⡇⡇⡻⡀⠀⡌⣧⠁⠁⠀⠀⠀⠉⠒⢤⡯⠃⠀⠀⠁⢃⡇⠀⠁⡆⣞⢮⢳⣽⠻⣄⠀⣎⠇⣮⠇⡇⡰⡎⠀⠀⠀⠀⠀⠀⠀⣿⢧⡿⠑ ⠉⢩⠟⠉⡰⠃⠀⠀⠀⠀⠀⠘⣤⡿⠘⠄⣰⠃⡇⠀⣧⢻⡄⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⡠⢾⢡⠀⠀⠻⣜⠘⢷⠃⠀⠉⡻⣾⣞⣸⢸⢰⡻⠀⠀⠀⠀⠀⠀⣦⢠⠋⠈⠁⠀ ⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⢠⢣⠃⠀⢠⠏⠀⠹⡀⡇⠣⡷⠀⠀⠀⠀⠀⠀⠤⠤⠤⠶⠽⠞⠿⢝⡄⠀⡇⠹⣂⡏⠀⠀⣰⣿⠊⡌⡌⢦⡳⠁⠀⠀⠀⡠⠀⢠⡿⠸⠀⠀⠀⠀ ⠀⠀⡜⠁⠀⠀⠀⠀⠀⠀⢠⢇⠆⢠⢀⡟⡄⠀⠢⡑⣵⡀⠁⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⣧⣠⣻⣧⠀⡴⠛⠁⢀⢣⠃⡰⠁⡀⠀⠀⡰⢁⠀⣸⠇⡇⠀⠀⠀⠀ ⢀⠞⠀⠀⠀⠀⠀⠀⠀⡰⡟⡜⣰⢃⣞⣆⡇⠀⠀⠈⠙⠓⠤⠀⠀⢀⣾⣿⠷⣦⢄⠀⠀⠀⠀⠀⠘⠈⢧⡟⠿⣷⣿⣿⣦⠄⠀⡼⣜⡜⢁⡞⠀⢀⡾⠁⡜⢠⡻⢸⠀⡀⠀⠀⠀ ⠋⠀⠀⠀⠀⠀⠀⢀⡜⡝⡼⣴⢣⠎⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⡜⠈⠑⠦⡈⠳⣕⢄⠀⠀⠀⠀⠀⠀⠻⣄⠈⠹⣿⡎⠂⢠⣿⢋⢴⠏⠀⡠⡷⠁⣼⢁⢎⢃⠇⠀⠇⣼⣿⡖ ⠀⠀⠀⠀⠀⠀⣠⡞⡰⡰⡹⡳⠃⠀⠈⢿⣽⡄⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠈⢦⠈⢻⣧⠀⠀⠀⠀⠀⠀⠈⠀⠀⣿⣿⣠⣾⠟⡵⠁⡠⢊⠞⢀⣾⢏⠎⡌⡎⠀⢠⠈⢻⣷⠧ ⠀⠀⠀⠀⢀⣼⠋⡰⣱⣵⠟⠀⠀⠀⣠⠤⣧⣷⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠈⢧⣰⠿⠃⠀⠀⠀⠀⠀⠀⠀⣀⣬⣯⠟⡡⢊⠤⠊⡰⣣⡴⣻⢯⠎⣜⡜⠀⢠⢸⠀⢠⠒⠆ ⠀⠀⢀⢔⠝⠁⡰⣱⠟⠁⠀⠀⢠⠞⠋⠉⠙⡟⢧⠀⠀⠀⠀⠀⠀⠘⢄⣀⣀⠠⠔⠊⠁⠀⠀⠀⠀⠀⠀⠒⢒⡻⠝⠋⠰⠞⠊⢁⣴⣪⣺⣟⣴⡿⢃⢞⢾⠃⠀⠈⠘⠀⢠⠀⠀ ⢀⠔⠛⢁⣤⡾⡽⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⡤⣉⣁⣀⣀⣠⣤⣶⡺⢥⠳⢹⣸⡯⢊⣴⡷⢃⠎⠀⠀⠀⠀⠀⠈⠀⠀ ⣁⣤⠾⢛⢿⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠝⠁⠒⢉⠏⠉⢰⠇⣾⠧⡾⣿⠾⢻⣽⠀⡜⠀⠀⠀⢀⣠⠤⠒⠁⠀ ⠉⢉⣝⠕⠧⣕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠳⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡠⠤⠴⠚⠁⠀⠀⠀⡜⠀⡰⣿⡞⢸⠃⢸⢹⠀⢸⢹⢘⣀⠤⠒⠊⠉⠀⠀⠀⠀⠀ ⠀⠟⠁⠀⠀⠀⠑⠦⣤⣀⣀⣀⣠⣤⡶⢴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣀⠜⣠⡪⡾⢋⣀⣄⠠⠼⠜⠒⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⣀⡀⣈⣵⢾⡋⡥⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⢱⣇⠀⠀⣀⡀⣤⣤⠲⢒⣶⡲⠦⠋⢉⣩⠴⠟⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⡀⡔⠺⣿⡿⠋⠀⠀⠈⠛⢦⡀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⣿⣿⣮⠟⠉⠀⢠⡾⠭⢒⡪⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣦⣮⡭⣢⣮⠚⠁⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠐⠒⠀⠐⢚⣿⡻⣻⣷⡺⠃⠀⡰⡰⠁⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠤⠚⠟⠂⠒⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⢳⢛⡻⡱⠁⠀⣼⡜⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⠀⠀⠀⠀⠈⠒⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢄⣸⠥⣿⣷⢣⠁⠀⡜⡟⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⣀⠤⡲⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠈⠉⣦⢺⣸⣆⣿⡏⡌⠀⢠⡙⠀⠀⡜⠀⠀⠀⠀⢀⡠⠖⣉⢴⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠉⠀

⠀⠉⠒⠴⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⢴⣉⠖⡠⢀⠀⠀⠀⠀⡜⠀⠀⡙⢠⠀⡌⡏⣿⣆⣸⢺⣦⠉⠈⠖⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⡲⠤⣀⠀⠀⠀⠀⠀⠀⠀⠎⢀⠀⡟⡜⠀⠁⢣⣷⣿⠥⣸⢄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠒⠈⠀⠀⠀⠀⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⢀⠀⡜⣼⠀⠁⡱⡻⢛⢳⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠤⠒⠂⠟⠚⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡴⠀⠁⡰⡰⠀⠃⡺⣷⣻⡻⣿⢚⠐⠀⠒⠐⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠁⠚⣮⣢⡭⣮⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⡪⢒⠭⡾⢠⠀⠉⠟⣮⣿⣿⢿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡀⢦⠛⠈⠀⠀⠋⡿⣿⠺⡔⡀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠟⠴⣩⢉⠋⠦⡲⣶⢒⠲⣤⣤⡀⣀⠀⠀⣇⢱⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢄⡥⡋⢾⣵⣈⡀⣀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠊⠒⠜⠼⠠⣄⣀⢋⡾⡪⣠⠜⣀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢴⡶⣤⣠⣀⣀⣀⣤⠦⠑⠀⠀⠀⠁⠟⠀ ⠀⠀⠀⠀⠀⠉⠊⠒⠤⣀⢘⢹⢸⠀⢹⢸⠃⢸⡞⣿⡰⠀⡜⠀⠀⠀⠁⠚⠴⠤⡠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠳⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣕⠧⠕⣝⢉⠉ ⠀⠁⠒⠤⣠⢀⠀⠀⠀⡜⠀⣽⢻⠾⣿⡾⠧⣾⠇⢰⠉⠏⢉⠒⠁⠝⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠈⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⢿⢛⠾⣤⣁ ⠀⠀⠈⠀⠀⠀⠀⠀⠎⢃⡷⣴⢊⡯⣸⢹⠳⢥⡺⣶⣤⣠⣀⣀⣁⣉⡤⢶⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡽⡾⣤⢁⠛⠔⢀ ⠀⠀⢠⠀⠘⠈⠀⠃⢾⢞⢃⡿⣴⣟⣺⣪⣴⢁⠊⠞⠰⠋⠝⡻⢒⠒⠀⠀⠀⠀⠀⠀⠁⠊⠔⠠⣀⣀⢄⠘⠀⠀⠀⠀⠀⠀⢧⡟⠙⠉⠋⠞⢠⠀⠀⠁⠟⣱⡰⠁⠝⢔⢀⠀⠀ ⠆⠒⢠⠀⢸⢠⠀⡜⣜⠎⢯⣻⡴⣣⡰⠊⠤⢊⡡⠟⣯⣬⣀⠀⠀⠀⠀⠀⠀⠀⠃⠿⣰⢧⠈⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣷⣧⠤⣠⠀⠀⠀⠟⣵⣱⡰⠋⣼⢀⠀⠀⠀⠀ ⠧⣷⢻⠈⢠⠀⡎⡌⠎⢏⣾⢀⠞⢊⡠⠁⡵⠟⣾⣠⣿⣿⠀⠀⠈⠀⠀⠀⠀⠀⠀⣧⢻⠈⢦⠈⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡄⣽⢿⠈⠀⠃⡳⡹⡰⡰⡞⣠⠀⠀⠀⠀⠀⠀ ⡖⣿⣼⠇⠀⠇⢃⢎⢁⣼⠁⡷⡠⠀⠏⢴⢋⣿⢠⠂⡎⣿⠹⠈⣄⠻⠀⠀⠀⠀⠀⠀⢄⣕⠳⡈⠦⠑⠈⡜⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⢿⠎⢣⣴⡼⡝⡜⢀⠀⠀⠀⠀⠀⠀⠋ ⠀⠀⠀⡀⠀⢸⡻⢠⡜⠁⡾⢀⠀⡞⢁⡜⣜⡼⠀⠄⣦⣿⣿⣷⠿⡟⢧⠈⠘⠀⠀⠀⠀⠀⢄⣦⠷⣿⣾⢀⠀⠀⠤⠓⠙⠈⠀⠀⡇⣆⣞⢃⣰⡜⡟⡰⠀⠀⠀⠀⠀⠀⠀⠞⢀ ⠀⠀⠀⠀⡇⠇⣸⠀⢁⡰⠀⠀⡀⠁⡰⠃⢣⢀⠁⠛⡴⠀⣧⣻⣠⣧⠀⢷⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠁⡀⣵⡑⠢⠀⡄⡟⢀⢠⠆⢇⢠⠀⠀⠀⠀⠀⠀⠁⡜⠀⠀ ⠀⠀⠀⠀⠸⡿⢠⠀⡠⠀⠀⠀⠁⡳⢦⡌⡌⠊⣿⣰⠀⠀⡏⣂⠹⡇⠀⡄⢝⠿⠞⠽⠶⠤⠤⠤⠀⠀⠀⠀⠀⠀⡷⠣⡇⡀⠹⠀⠏⢠⠀⠃⢣⢠⠀⠀⠀⠀⠀⠀⠁⡴⠀⠀⠀ ⠀⠁⠈⠋⢠⣦⠀⠀⠀⠀⠀⠀⡻⢰⢸⣸⣞⣾⡻⠉⠀⠃⢷⠘⣜⠻⠀⠀⢡⢾⡠⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⡄⢻⣧⠀⡇⠃⣰⠄⠘⡿⣤⠘⠀⠀⠀⠀⠀⠃⡰⠉⠟⢩⠉ ⠑⡿⢧⣿⠀⠀⠀⠀⠀⠀⠀⡎⡰⡇⠇⣮⠇⣎⠀⣄⠻⣽⢳⢮⣞⡆⠁⠀⡇⢃⠁⠀⠀⠃⡯⢤⠒⠉⠀⠀⠀⠁⠁⣧⡌⠀⡀⡻⡇⡇⢣⣧⢸⢸⠀⠁⠉⠚⠤⣉⣈⠀⠀⠀⠀ ⡄⣜⡽⣷⠀⠀⠀⠀⠀⠀⠃⣜⠀⡀⡿⣆⠸⢰⠀⠟⣱⣱⣼⣞⢀⠸⡿⠀⡇⡃⡿⠙⠟⣿⡟⡓⢏⡍⣼⢙⠀⡟⡇⠟⢠⠀⠀⢸⡘⡿⢧⡇⢼⢸⡆⣵⣩⠉⣉⠈⠉⠉⠈⠀⠀ ⢦⣿⢸⠀⠸⠀⠀⠀⠀⠀⡿⢀⠀⠀⣰⢿⣇⠋⡾⢣⡺⣡⡼⢀⠇⡜⡇⠀⡇⡇⡄⣿⣿⣰⢯⣿⣿⢾⠀⡏⠻⢹⢳⣼⠀⠀⠃⢠⢿⣹⡔⡆⠀⢸⠀⠁⠔⣠⠄⡸⣀⢄⡳⢌⠑ ⠈⡄⣽⣸⢸⠀⠀⠀⠀⠀⠀⠀⠀⡆⠇⣆⡇⣴⠏⣴⠂⣠⠀⠃⣼⠁⢸⠀⡎⡘⢷⡈⣷⣿⣿⣿⣭⣛⣛⡿⣿⣼⡜⢀⠀⠀⡆⠃⣿⢕⠳⢠⠁⢀⠀⢰⣊⠼⠥⣯⣟⠈⠉⢍⠻ ⣇⠀⡄⣟⢧⠀⠀⠀⠀⠀⠀⠀⠀⠁⡱⠔⢁⡴⢀⠀⠀⠀⠃⡰⠀⡎⢳⠀⢻⢠⠀⣅⡿⣵⣼⣤⣤⣥⣵⣵⣾⣮⢀⠟⠀⠁⢻⣯⣉⢞⢠⠇⡎⠀⡋⠳⡩⠊⣳⣥⣔⣠⣗⣿⣽ ⡀⠘⠀⣀⡍⠸⠀⠀⠀⠀⠀⠀⠁⡺⣠⠀⢀⠀⠀⠀⠀⠄⢀⠀⠃⢠⡀⣮⡿⠈⠟⣵⡰⡼⣄⠊⠕⢞⣫⣼⢋⢣⡱⢰⠁⡾⢟⢈⢸⢸⠀⠿⢰⠎⢠⠁⡴⠀⡀⣺⠉⠓⡴⢀⢯ ⠁⢸⠀⡇⠄⢗⠈⠀⠀⠀⠀⠀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢠⠀⠃⢣⢟⣾⢻⡱⡹⠔⡫⠾⣡⡾⣠⠏⢜⢁⡰⠖⣫⡿⣯⢋⢭⢉⠉⡹⠞⢀⠁⡰⠀⠀⡎⢞⢀⡜⢄⡵⢀ ⡜⠀⡁⡿⢧⡣⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢠⠊⣿⢫⠞⣫⣾⢁⠋⡾⣤⢁⠟⣴⠃⡾⡠⠋⣠⠁⠕⢮⣔⠤⡡⣉⣓⢚⣾⣶⠳⣨⠀⠀⠎⣜⠃⡰⠀⠤⠀⣀ ⠀⠁⡶⢹⡟⡁⠲⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⢁⡴⢏⣪⡡⡞⣽⡶⣠⢀⠋⠾⣠⠁⠞⣠⠁⠜⢁⠟⣾⣠⠁⠛⡻⣤⠋⣱⡜⢀⠊⢠⡀⠀⠏⣔⠎⢠⠀⠀⠀⠀⠀ ⠊⣠⠀⡀⣦⡽⠀⡀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡫⠴⢁⠞⣫⠞⣤⣀⠁⠋⠖⣤⢀⠀⠀⠀⠁⠞⣡⠟⣴⢀⠃⠾⢮⡟⢣⡿⣟⣿⠁⡜⢀⠀⠀⠟⣡⡔⠀⠀⠀⠀⠠⠀⠀ ⠀⠀⠂⠉⠀⡈⢤⠑⠀⢆⠙⠈⠀⠀⠀⠀⠀⠀⡠⡀⠀⠀⡖⡤⢀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠊⠕⣛⡾⣠⢁⠀⠖⣘⠞⣞⢾⣹⠉⣯⡫⡰⠀⠀⠀⡀⢎⢠⠉⠈⠀⠀⠀⠋⠔⡀ ⠈⠀⠀⡀⢣⢇⠀⠀⢇⠀⠀⣀⢄⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠊⠽⣟⡶⣤⢀⠀⠀⡀⠹⠊⣡⡿⡋⡤⡹⣡⣔⢀⠀⠀⠀⠁⡴⡇⣿⣧⣿⠸⠋⡶⡠⠀⠀ ⠀⣄⠳⠀⠀⡵⠸⠁⠀⢸⠀⠀⠀⡀⢦⠻⠑⠉⠀⠀⠀⠀⠀⠀⠀⠁⠊⠛⠮⣶⢤⣠⠒⣒⠶⠤⠀⠀⠁⠟⣖⠾⣸⢠⣇⢵⣞⢠⠀⠀⠀⠁⠔⢀⠀⡎⣤⣶⣪⡠⠀⠁⠖⢉⠀ ⠀⠜⠤⢣⠀⡄⢹⣰⠣⢃⠀⠀⠀⠀⠀⠀⣀⠥⡿⠶⠵⠬⠤⠤⠤⣀⣀⠀⢄⠤⠤⠀⠀⠁⠍⠷⠿⣽⣴⢱⢴⠠⢯⠿⣿⣽⠷⠺⠑⠋⠔⢀⠉⠞⣠⠀⠀⠀⠀⠉⠔⢋⡴⢀⠀ ⡛⣈⠦⣿⠀⠀⣟⠹⠈⡴⠘⠀⠀⠀⠀⠀⠞⣜⢀⠀⠀⡀⣀⠤⣤⠲⠒⠒⠒⠒⠒⠒⠔⠤⡠⢳⠄⢗⠽⡿⢿⡿⣿⣿⣿⣿⢿⡛⢮⣙⠦⣕⡠⠀⠀⠀⠀⠔⡡⢊⡠⢀⠀⠀⠀