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