Lil Cutie Femboy Emojis & Text

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

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣓⣈⣰⣦⣤⣀⣼⠋⠀⠀⢭⣽⣿⡇⠀⣀⣀⣿⣿⡇⡸⣿⣿⡤⠉⠒⠤⣀⠀⠠⡄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⠏⠀⠛⣞⣧⣾⠍⠢⣀⠀⠈⠻⠟⣇⢉⣡⡶⣭⠯⡀⠐⠛⠙⢇⠀⠐⢲⠏⠀⠀⠈⠲⠞⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⢀⠄⠂⢸⠛⠁⣠⣲⡆⢔⠾⠋⠀⠈⠢⣉⠀⢀⣀⣈⡆⠀⠀⢸⣀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠤⣌⡁⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡿⠀⠀⣜⣩⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⣛⡉⠀⠀⠓⢄⡀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⡹⠋⠀⣠⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠐⠒⠚⣿⣶⠦⣄⣀⡀⠘⠿⠽⠶⢾⣷⣀⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⡀⣀⣀⣠⡿⠍⣛⠻⡿⠿⣟⣲⣶⣶⡶⠿⣿⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠼⠛⢻⠿⠻⢿⣿⣷⣿⣶⣆⠬⡯⣑⣿⣿⣿⣿⣹⣍⣧⣾⠈⠉⠉⠒⠒⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠁⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠐⠒⠠⣔⠁⠀⠉⣿⣿⣿⢛⡖⠾⠿⢿⡿⠿⣾⠟⠁⠀⠀⠀⠀⠀⠸⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡅⠀⠀⠀⠀⠀⠀⠀⠉⠒⠄⠘⢿⣿⠇⠈⠁⠒⠺⣤⣢⡼⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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‧₊ ᵎᵎ 🍒 ⋅ ˚✮ ☆🥧̗̀➛🍂*.☽ *:･🍮⭐🥞⋆.ೃ࿔ ✩°𓏲⋆🌿. ⋆⸜ 🍵✮˚ 🌨️₊˚.🎧 ˚.🩵*✩｡ 🫐‧₊˚ ☁️⋅♡𓂃 ࣪❀ ִֶָ☾. 🪞𓍢ִ໋🌷͙֒♡ ｡˚🐈‍⬛.𖥔 ݁ ˖ 🤍🦢🎧☁️🪞 ✩°｡🧸𓏲⋆.🧺𖦹 ₊˚ ⋆꙳•̩̩͙❅*̩̩͙‧͙ ‧͙*̩̩͙❆ ͙͛ ˚₊⋆ ☃︎⋆꙳•❅*ִ ₊˚｡⋆❆⋆｡˚₊ °❆⛄⋆.ೃ࿔🦌*:･❄️ ⋆꙳·̩̩͙❅*̩̩͙‧͙ ‧͙*̩̩͙❆ ͙͛ ˚₊⋆⋆꙳•̩̩͙❅*̩̩͙‧͙ ‧͙*̩̩͙❆ ͙͛ ˚₊⋆⋆꙳•❅*‧ ‧*❆ ₊⋆ *ੈ🎄✩‧₊ ⋆☃︎⛸️✧˖°❅🕯️༘ ☆⋆｡𖦹°‧★ ‧₊˚🖇️✩ ₊˚🎧⊹♡ ☆♱🎧🫧 ˚₊‧꒰ა ☆ ໒꒱ ‧₊˚ ˖⁺‧₊˚🎧✮💿✮📷✮˚₊‧⁺˖ ─── ⋆⋅☆⋅⋆ ─── 💸🎀🧷💋🍒🌸 ⊹ ࣪ 🍒 ˖༉‧🐈‍⬛₊🔑₊˚💋 ♡₊˚ 🦢・₊✧⋆⭒˚｡⋆ •*ੈ♡⸝⸝🪐༘⋆ 🫧🦢🪞.♡⋆ ˚｡⋆୨୧˚ 🥟˚｡˚ 🪧·˚˚· 🐚🦈˖⁺‧₊🥛🐈‍⬛⋆｡˚ ☁︎ ˚｡⋆ ૮₍ • ˕ - ₎ა♡₊˚ ˗ˏˋ🩷 ೀ🩹꒱ ˎˊ˗ 。°˖ ʚ🍓ɞ ꒦꒷⩩ 𖧧🌷₊˚⊹♡ ୧ ‧₊˚꒰ 🍡 ꒱ ⋅ ☆ ˖° ˗ˏˋ ★ ˎˊ˗ ౨ৎ ⋆｡˚ ˚₊‧꒰ა ♡ ໒꒱ ‧₊˚ 𝜗𝜚 ⊹ ‧₊˚ 🐇 🩰🦢🕯🍒💌 🩰𓈒⋆⑅˚₊୨୧ ⋆｡°🕯️✩.˚₊ 𓍊𓋼𓍊𓋼𓍊 ⟡𓋼 𓇗 𓆸 𝔭𝔬𝔯𝔱𝔞𝔩𝔰 𓆇 𓆨 𓍊 🕸️ '*.🧚🏼‍♀️𓍢ִ໋🌷͙֒🧺.*' ཐི♡ཋྀ ⊹₊｡ꕤ°₊ ⊹ 🌷;✩°𓏲⋆🌿.* ☆〜（ゝ。∂） 🥥🌊🌺🌴🌸🐬🌼🧜🏾‍♀️ ☆.｡.:(-Д-).｡.:☆ 🌺🍹🏖️🍧 🍬— ☆ —🍬 🌸👯‍♀️🍙🌺🍹 💗TV💙GIRL ✩ ♬ ₊.🎧⋆☾⋆⁺₊✧ ⊹☾⋆⁺₊🎧✩°｡ …♡ 💘🏹🎀🌹♥️💋🌸 ♡… 🎀🌺🤍💋🌸💕💌 🥰💌🌸🦋💗💕♥️🤍 🍒💌❤️🐁🌹☁️🍓 💕💌🍒 ʚ🍓ɞ♡⸝⸝˚♡˚₊‧⁺˖˖⁺‧₊˚ ♡ ˚₊‧⁺˖ .𖥔 ݁ ˖🕸️🕷.𖥔 ݁ ˖ ⋆ ˚｡⋆୨🎃୧ ⋆ ˚｡⋆ ₊˚🕯️♱‧₊˚. ˚˖𓍢ִ໋ 🦇 ✧˚.🔮⋆ (㇏(•̀ᵥᵥ•́)ノ) .𖥔 ݁ ˖🦇 ݁˖ ݁𖥔 . 🍁🎃🍂 🪞🌿☕️👜🧚🏼 ☕️🤎 ✧˖°.🍮✧˖°. 🧋🤎🤎🧋 🍰🍦🧇 ☕🥧🧸💭🥐🥛🍵 🪞𓍢ִ໋🌷͙֒♡ 🍥🌸💮 ˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆𓍢ִ໋🌷͙֒✮⋆˙ 🌸☁️🌷🍡 ₊✩‧₊˚౨ 🍨🩷 🍥 🩷🍨ৎ˚₊✩‧₊ °❀⋆.ೃ࿔*:･🌷°❀⋆.ೃ࿔*:･ 🦩🌸💗🌷>ᴗ< 𓍢ִ໋🌷͙֒💕₊˚⊹♡🌸 𖦹°‧★𓍢ִ໋🌷͙֒🎸✮ 🦢🎞🪶🕯 ☕📜👜🕰🪶 🕯️🥛🪞🕯☁️🦢🎞🪶🕯 🕯🤎☕️🐻 ☕✩°｡ ⋆⸜ 🎧✮🤎 . ⊹ ࣪˖ 🧸🕰️🖋️📜 𖥔 ݁˖ ⋆♱✮♱⋆☽☾⋆♱✮♱⋆ 🗝🕰🕷♠️🕯🖊♟📓 ˚ʚ♡ɞ˚⋆⋆｡ﾟ☁︎｡⋆｡ ﾟ☾ ﾟ｡⋆ 🦢🤍🕯️🕊☁️🥛🐇🐚𓍯 ִֶָ✉ 🕊🐚🕯️ ☁️ 🏹 𓂋 ꒰ა ♡ ໒꒱ 💫☁️🕊🌟🌫🕯️ 🌿🕊️💫🐇🌱🦢🕯️🤍🍀🖇️🗝️🍃☁️🌙 𓆩. ⛧ .𓆪 ✨🤍🌤🤍✨ ☆.｡.:*𝔞𝔫𝔤𝔢𝔩.｡.:*☆ ꒰ა 🤍 ‘’ 🤍 ໒꒱ 🪽𓆰𓆪✮⋆˙🕊️ᥫ᭡٠ ࣪⭑ ♡🎠 ♡ 🍼🍪💧🧸🩹 ⋆⭒˚｡⋆𖤐⭒๋࣭ ⭑₊˚⊹♡🛸 ‎‧₊˚✩ 🪐✩˚₊‧ ༘⋆₊ ⊹★🔭๋࣭ ⭑⋆｡˚ ‧₊˚✩彡⋆⭒˚｡⋆‧₊˚✩彡 🪐⋆｡°✩ ⋆˖⁺‧₊☽◯☾₊‧⁺˖⋆ 🪐🔭 ✩˚‧ 👽🫧💿 🐰😖 𓍢ִ໋🌷͙֒₍ᐢᐢ₎💛₊˚⊹♡𔓘🌸ཐིཋྀ 🐇ꕤʚɞ🦋♥️ ⚞・◦・⚟ ♡𝓗𝓮𝓵𝓵𝓸 𝓴𝓲𝓽𝓽𝔂 ♡ ₊˚ʚ ᗢ₊˚✧ ﾟ ˚ʚ♡ɞ˚ ༘⋆🌷🫧💭₊˚ෆ ♡ﾐ・◦・ﾐ💗☾⋆｡𖦹 °✩🎀 ‧₊˚❀༉‧₊˚. ˚ ༘ .˚🌱୭ ˚. ᵎᵎ ༘⋆✿☘︎⚘. 📷🎧🍃 ❀𖤣𖥧𖡼⊱✿⊰𖡼𖥧𖤣❀ ⋆｡°✩🌿⋆｡°✩ 🍵₊ ⊹ 𓍢ִ໋🌷͙֒ ⊹₊｡ꕤ˚₊⊹ 🌿✧˖° ୭🌱♡-⋆｡˚🍄-𓄹-˚ ¿ঌ👁໒¿ 🦷🪐ଘ👁️𝒍𝒐𝒔𝒕 𝒊𝒏 𝒔𝒑𝒂𝒄𝒆..🦷🪐ଘ👁️ 👜🥂💵🥐🕰️ 🪞🩰🤍🦢 ✰👜〰‼💸🤍 🕊️🖇️ 🌺🌴🥥 ⋆ ༅˚🥥.࿓• 🥥🌺🍨🌊🍉🌴 🥥 ❀*ੈ✩‧₊˚ ♡ ⊹˖🌺🥥🌴｡˚ 𓆉🌊🐚🌺🥥 .•*𓆩🎧𓆪*•. 🌐⋆｡°✩🌀 ‧₊˚🖇️✩ ₊˚🎧⊹♡ 🎧✮⋆₊ ⊹🎤₊ ⊹✮⋆˙ ──★ ˙🍓 ̟ !! ୧🍓 ༘ ₊˚. ୧ 🍰‧₊˚ 🍓 ⋅ ☆ 𓍢ִ໋🌷͙֒ ᰔᩚ⋆｡‧˚ʚ🍓ɞ˚‧｡⋆ ‧₊˚🍓✩ ₊˚🥛⊹♡ 𖦹°‧★🌹⭒💌⭒🍓★‧°𖦹 ✧˖°⋆🍓📎✧⊹⊱° ₊♡₊˚ 🍒・₊✧ 🍒˚ ༘ ೀ⋆｡˚⋆ ‧₊ ᵎᵎ 🍒 ⋅ ˚✮ ✧°🍒‧｡𖦹°‧💋‧°𖦹 ｡‧ 🍒°✧ .°~🍒*💌°🩷*🍰~°. 💿★.･､🍒 ꩜⋆｡★ 🍉⋆｡°✩✨♡ ⋆⁺₊⋆ 🌊🍉🐬🍧 ⋆⁺₊⋆ 🍉🎸⋆⭒˚｡⋆ 🍉🌸💖 ₊˚✧pink✧˚₊‧ 🎸⋆⭒˚｡⋆ ☾⋆｡🍷🕸️⭒⋆｡˚ 🎧🍒💌💄 🍒🌙🎧 ₊˚⊹♡🍓🍰💌🧸₊˚⊹♡ 🍒🍷₊ ⊹ ⋆｡° ✮₊⊹💋༝༚༝༚₊ ⊹જ⁀➴🎸 ‧₊˚🍊༉‧₊˚. 🍊‧₊˚⟡🖇️ ₊˚⊹ᶻ 𝗓 𐰁 🧡🍂✴️⚡🦊 🏵️𓍊𓋼𓍊𓋼𓍊⚜️🍁🕸️ ⋆｡°✩🎃✩°｡⋆ ‧₊˚ ☁️⋅♡𓂃 ࣪ ִֶָ☾.🦋🦋‧₊˚ ☁️⋅♡𓂃 ࣪ ִֶָ☾. ˚ ☁️⋅♡𓂃 ࣪ ִֶָ☾.⋆.ೃ࿔*:･🍊 ᐡ・ﻌ・ᐡ🍮⭐🥞⋆.ೃ࿔*:･ 💛🕊💫🌼☁️ ˗ˏˋ₊ʚ🌻ɞ₊ˎˊ˗ ˚ʚ⭐️ɞ˚ ୧ ‧₊˚ 🍮 ⋅ ☆*ੈ♡⸝⸝🪐༘⋆ 🌤️⋆ ˚｡⋆୨୧˚🐝༉‧₊˚🍰 ⋆｡🍦˚ ✧ ˚🥞 ༘ ⋆｡🍪˚ ༘ ⭐🌕💛☀️🍯 ⋆⑅˚₊⸜ 🍃‧₊˚✩彡 ₊˚ʚ 🌱 ₊˚✧ ﾟ. ‧₊˚🌿✩ ₊˚🪵⊹♡ ⋆｡°✩🌿⋆｡°✩ ˚˖𓍢ִ໋🍃✧˚🌴⋆ 🍃⋆.ೃ࿔*:･🌿🍃 ༄ 🌱⋆｡°₊ ⊹˚ 🍵⋆˙⟡₊ ⊹˚ ✩°🌊⋆⸜ 🎧✮🫧 🌨️₊˚.🎧 ˚.🩵*🎐✩｡ ⋅˚₊‧ ୨❄️🪡୧ ‧₊˚ ⋅ 🌊♡₊˚ 🦢・₊✧ ₊˚ʚ 🧊 ₊˚✧ ﾟ. ★🌀✮💤☆ 🎐⭐️🫧🌀 🌊✮ ⋆ 🦈｡ * ⋆｡ ₊˚✩彡💿🍇🎧‧₊˚✩彡 ✮⋆｡💜✧˖°⋆˚✿˖° ✮⋆˙🔮˗ˏ🖇⋆⭒˚｡⋆🎧.. ‧₊˚✩彡🍇 🔮🪩 ⁺˚⋆｡°✩₊ 🔮✮⋆˙🧜🏻‍♀️ᥫ᭡. ⋆⋅☆☪︎✧˖°. ༘⋆🌷🫧💭₊˚ෆ 🩰˚˖𓍢ִ໋ 🎧✧˚.🌸༘⋆ 𓍢ִ໋🌷͙֒ ˗ˏˋ🩷 ೀ🩹꒱ ˎˊ˗ ⋆｡·°ʚ🍓ɞ°‧｡⋆𓍢ִ໋🌷͙֒ ˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆𓍢ִ໋🌷͙֒✮⋆˙ ⁺˚⋆୭🌸⋆⁺ 🦩🌸💗🌷>ᴗ< ₊˚🖇️✩ ₊˚🎧⊹♡📷 ✿༉‧₊˚🖤❀༉‧₊˚. ᶻ 𝗓 𐰁✩°｡⋆⸜ 🎧✮ 🌫₊˚.🎧 ✧‧₊˚🌑 🖤🌕🌑 🐈‍⬛⋆｡°✩.𖥔 ݁ ˖💬 🎧★♫₊˚.🎧 ✧ ✩♬ ₊˚.🎧⋆☾⋆⁺₊✧ 🤍🫧☁️ ♡₊˚ 🦢・₊ ♪ ✧ 🤍☁️‧₊˚ ☁️⋅♡𓂃 ࣪ ִֶָ☾. ୧ ‧₊˚ 🤍・₊✧ ⊹ ₊ ˚ 🐇 𓂃 ⸝⸝ ♡ ୧ ‧₊˚ ☁️⋅♡🤍 🕊️🖇️୧ ‧₊˚ ☁️⋅♡ 🤍🦢☁️⛸️🕊️ ✧˖°. 🕯️🦢 ✧˖°. ☕✩°｡ ⋆⸜ 🎧✮🤎 📜⋆.ೃ🎞࿔*:･🕰-'♡'- ⋆｡˚ 📜🩰₊ ˚⊹ ⊹˚. ♡🧸📜🩰🤎⊹˚. ♡ 🐻☆⋆｡𖦹°‧★ ⋆📦⭒🤎⭒🍪⭒🐻⋆ ☆⋆.ೃ࿔*:☕ 🪵☕︎₊ ⊹🧸༘⋆.𖥔 ݁ ˖🥮 ✩📓°｡⋆⸜ 🤎✮ ༘⋆🏯₊˚⊹♡𓇢𓆸 🍵⋆｡°🍡°⋆. ࿔*:･ *ੈ🍥.˚₊🍙༘ ⋆🍜˚｡⋆ ୧ ‧₊˚ 🍮 ⋅ ☆🍥 彡 ୧ ˚. ୧ ‧₊˚ 🍙 ⋅ ★🎸🎧⋆｡ °⋆𖦹✮₊ ⊹ ୧ ‧₊˚ 🍓 ⋅ ☆ ☁️🤍💫🌸🌙🌫 🧚‍♀️🌙🌫🤍💘✨💍🌿🥺 🦢🫧🤍☕️🎧 🎧🎤☁️🫧🤍💍 ⋆⭒˚｡⋆🦢⋆⭒˚｡⋆❀˖°🤍ㅤ ᵕ̈♡︎☁️☾ 𖤐⭒๋࣭ 🌙ᶻ 𝘇 𐰁 ₊˚ 🌱 ⋅♡𓂃 ࣪ ִֶָ .𑁍 𝑠𝑝𝑟𝑖𝑛𝑔 𝑓𝑎𝑖𝑟𝑦 𓍼 ˚˖𓍢ִ໋🍃✧˚🌴⋆ ⋆.ೃ𐦍*:･⋆𐦍.ೃ࿔*:･ 🌸💫🍄🧚🏼 #🌱‧₊˚𖦹 ࣪.𓋼𓍊 ☘️ ๋࣭ ⭑⚘🐇🌲𓍢ִ໋🌷͙֒ ᰔ✿;༊🍄₊ ⊹ ＊*•̩̩͙✩•̩̩͙*˚　˚*•̩̩͙✩•̩̩͙*˚＊ .𖥔 ݁ ˖˚₊‧꒰ა 👁 ໒꒱ ‧₊˚.𖥔 ݁ ˖ ˖ ݁𖥔.⭑꒰ঌ🫀໒꒱⭑.𖥔 ݁ ˖ ☁️꒰ঌ👁໒꒱W̯ͤ̾ͣ͝Ḛͭ̉̇͟I̍̅̀̎̊R͉̜̎͡͠D̶͔̭̪̻C̵͉͋̔͞O̖̼ͩ͌͐R͉̜̎͡͠Ḛͭ̉̇͟꒰ঌ👁໒꒱☁️ 𓆩𓁹𓆪 🥩🦷👀👁 ଘ👁ଓ ໒꒰ྀིっ˕ -｡꒱ྀི১ 💉 ❤️‍🩹 💉 ❤️‍🩹 💉 ❤️‍🩹 💉 ❤️‍🩹 💉 / *₊˚ʚ 🦇 ₊˚✧ ﾟ. 🗝 🔦 🗝 | ⏳ 👁 ⏳ | 🗝 🔦 🗝 ˚ʚ♡ɞ˚ 💕💌🍒 ʚ🍓ɞ♡⸝⸝˚♡˚₊‧⁺˖˖⁺‧₊˚ ♡ ˚₊‧⁺˖ ⋆｡ﾟ☁︎｡⋆｡ ﾟ☾ ﾟ｡⋆𝕷𝖔𝖛𝖊 𝖞𝖔𝖚⋆｡ﾟ☁︎｡⋆｡ ﾟ☾ ﾟ｡⋆ ♥️ℒℴνℯ♥️ ❣️🧸💖💌✨ 🍫🎀💖 ⊹ ࣪ ˖🫧🧴✧° ˖ 🎧🫧🤍🦢✨ 🧹💖🫧🧼 🤍🌸🕊💨🕯🌿 🐇🐚🧴🥥 ✧˚ ༘ ⋆｡ 🧸🫧♡₊˚ 🦢・₊✧💕⋆ ⋆｡°✩⋆｡°✩ 🌟🤍🦢🍦☁️🍯 ୧ ‧₊˚ 🍮 ⋅ ☆🍨₊ ⊹ ♡˗ˏ🍰໒ 🍦𓆩♡𓆪🕯 ⋆｡°🕯️✩.˚₊ ｡°✩💋🎧🎸⭐️°｡ ✩°｡🎧🎶📚🌃⭐️ ☆•°💋⭑𖦹☆ ☕️🍂🎧🎸💌 🍁☕️🎞️🍂 🫀 𖦹⭒★ 🪐⁠*⁠☆✧🎧🖇️♡

⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀:¨ ·.· ¨: ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ ⠀⠀ `· . ꔫ

⠀⢸⠂⠀⠀⠀⠘⣧⠀⠀⣟⠛⠲⢤⡀⠀⠀⣰⠏⠀⠀⠀⠀⠀⢹⡀ ⠀⡿⠀⠀⠀⠀⠀⠈⢷⡀⢻⡀⠀⠀⠙⢦⣰⠏⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⢀⣻⠞⠛⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠛⠓⠒⠓⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀ ⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⢀⡟⠀ ⠀⠘⣇⠀⠘⣿⠋⢹⠛⣿⡇⠀⠀⠀⠀⣿⣿⡇⠀⢳⠉⠀⣠⡾⠁⠀ ⣦⣤⣽⣆⢀⡇⠀⢸⡇⣾⡇⠀⠀⠀⠀⣿⣿⡷⠀⢸⡇⠐⠛⠛⣿⠀ ⠹⣦⠀⠀⠸⡇⠀⠸⣿⡿⠁⢀⡀⠀⠀⠿⠿⠃⠀⢸⠇⠀⢀⡾⠁⠀ ⠀⠈⡿⢠⢶⣡⡄⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⣴⣧⠆⠀⢻⡄⠀⠀ ⠀⢸⠃⠀⠘⠉⠀⠀⠀⠠⣄⡴⠲⠶⠴⠃⠀⠀⠀⠉⡀⠀⠀⢻⡄⠀ ⠀⠘⠒⠒⠻⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠞⠛⠒⠛⠋⠁⠀ ⠀⠀⠀⠀⠀⠀⠸⣟⠓⠒⠂⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⣹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣤⣠⣀⠀⠀⠀⠀⠀⡀⣄⣷⢿⠶⠳⠛⠛⠚⠷⡿⣼⣠⣀⣀⣀⣀⣀⣀⣄⢤⠶⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⡴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⢤⠀⠀⠀⠀⡤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣴⠷⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠾⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢷⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣴⣀⣀⢟⠗⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣴⠷⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠁⠉⠟⣩⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠿⢰⡂⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡏⢿⠿⡿⣿⣿⠿⠿⠿⠛⠛⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠻⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠀⠋⠒⣿⠓⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⣿⢙⠈⠁⣸⠀⢋⣿⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⡇⢸⠀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠘⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢠⠀⣸⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢰⠁⡏⣽⠈⠀⠷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⡾⣴⣿⣴⣦⢷⠙⣧⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡞⣠⠀⡏⢰⠀⠀⠀⡀⣦⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡼⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⡀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⡄⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣽⣭⣉⣉⣭⣮⣷⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⡇⠘⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣾⣶⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠃⣾⣰⣀⢆⠰⠀⢀⠀⡀⣀⣤⣶⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠈⠀⠀⠀⡇⣼⠻⠈⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣴⣁⢉⠉⠉⠉⠉⠈⡀⣇⣿⠘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⣼⠈⣐⠀⠀⠀⠀⠀⠀⠳⠈⠀⠀⠂⣄⢷⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⠳⠙⠟⣿⠀⡄⣯⢿⠦⠲⠐⡀⣆⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⡾⢿⣭⣇⣘⠀⠶⡠⣀⣀⣄⢧⠾⢿⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⣿⠛⢛⠛⠛⠛⠛⠙⠉⠉⡟⢀⠀⠀⠀⠀⠀⣀⣦⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⢀⠋⡿⣿⣸⠀⠁⣾⢀⠀⠇⠏⠛⠙⣦⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣵⢀⠀⠀⠀⡀⢽⠀⠀⠀⠀⠀⠀⠀⠀⡄⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠃⣾⣤⣠⣀⣀⢀⠀⠀⠀⡀⣐⣿⢦⠳⠙⠉⠉⠀⠀⠀⣀⣦⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠟⣴⠀⠏⣿⣿⣾⠀⠀⡇⢰⠀⠀⡇⣿⣿⣿⢻⡄⣦⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣼⢤⠠⠀⠀⠀⠀⠀⣿⠀⠁⠉⠉⠉⠉⠉⠉⠉⡏⢹⠀⠀⠀⠀ ⠀⠀⠀⠃⣽⠑⠀⠀⠀⠐⠀⠠⠀⠀⠀⠴⢺⣀⠀⡀⣄⢦⠛⠈⠀⠀⠄⡁⣦⠻⠈⠀⠀⠀⠀⠃⡴⢀⠃⡿⣿⣿⢠⠀⠀⠀⡇⠀⠀⠀⡿⣿⣿⣿⣿⠻⠀⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠋⠾⣥⣤⠀⠀⠀⠀⠉⠛⠖⠼⣿⣠⣄⣀⣀⣀⣀⣤⣬⣦⣲⣷⠘⠀⠀⠀ ⠀⠀⠁⡾⣀⡀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠐⢿⣠⠀⠀⠀⡀⠀⣄⢶⠙⠈⠀⠀⡀⣦⠻⠈⠀⠀⠀⠋⠟⣿⣿⣿⣰⠀⠀⠀⠀⡟⠀⠀⠂⣿⣿⣿⣿⣿⣿⢿⠘⠀⠀⠀⠀⠀⠀⠀⠋⡾⣿⡀⠀⠀⠁⠋⠾⣤⣀⠀⠀⠉⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢷⠀⠀⠀ ⠀⠀⡟⢛⠛⠞⠶⠶⠤⠦⠶⠷⠿⠻⠛⠛⣽⠉⠈⠀⠀⠀⠀⠀⠀⡀⣤⠳⠙⠀⠀⠠⣾⠳⠋⡿⣿⣿⣿⣿⣼⡇⢠⠀⠀⠀⣸⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⠿⠙⠀⠀⠀⠋⡿⣼⣤⢀⠁⠛⡶⣨⢀⠀⠀⠁⠀⠀⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢻⠀⠀ ⠀⠇⣲⠂⠠⠤⢀⣀⢀⢀⡀⡀⢀⢀⡀⣀⢤⡳⣙⣌⢤⠶⠛⠉⠀⠀⠀⠀⣀⢦⠛⠈⡑⡟⣿⣿⣿⣿⣿⣿⢠⣼⠀⠀⠀⡇⢰⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠟⡿⣿⣠⠁⠋⠾⣸⢀⠀⠀⠀⠀⠀⠀⠁⠍⢫⠛⠛⠛⠚⠒⠟⠷⠾⠶⠒⠒⠛⠟⣯⠸⠀ ⠁⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣻⣤⠳⠙⠀⣀⣤⠶⠛⠉⠀⠀⣠⣅⡿⣿⣿⣿⣿⣿⣿⣾⡇⢀⠀⠀⠀⡟⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠉⠞⣴⢀⢠⠀⠀⠁⠋⠛⠶⡤⣠⣁⢋⠞⣤⣀⢀⠀⠀⡀⡀⣄⢠⠀⠀⠆⠀⣵⢿⠀ ⡇⢻⠿⠿⠿⠿⠿⠿⠻⠛⠙⠉⠈⠀⠀⠀⠀⠀⡇⢸⠀⣀⢦⠙⠀⠀⠀⣄⢶⠛⠋⣿⣿⣿⣿⣿⣿⣿⣿⢸⡟⠀⠀⠀⠃⢸⠀⠀⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣨⠀⠀⠉⠟⡷⣦⢀⠀⠁⠋⡿⣼⢖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣇⠘ ⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀⢹⠀⠀⠀⡀⢦⠛⠀⠀⠄⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⠀⠀⠀⡟⠀⠀⠁⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⡴⣠⠠⠀⠀⠉⠟⣼⢉⡿⠀⠀⠀⠀⠉⠛⠛⠿⠿⣿⣿⣿⣿⣿⣿⠿⠿⡟⢸ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣿⠀⠀⠀⠀⠄⡀⢷⠙⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⠀⠉⡿⣿⠸⠉⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⠀⠀⠋⡾⣯⣰⢁⣃⢸⠁⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠉⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣧⠾⣤⣤⣤⣧⣿⣼⣤⣤⣥⣦⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡾⣤⠀⠀⠀⠁⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠ ⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣷⠈⠀⠀⠀⠋⣿⠢⠒⠒⠒⠓⠛⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠁⠛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡟⢿⠋⠞⣷⣾⢤⠠⠀⠀⠀⠀⣀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⠿⠛⠟⠿⠾⠶⠲⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀ ⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⢀⠀⡀⣧⠀⠀⠀⠀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀ ⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠁⡿⠙⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀ ⠀⡧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠃⡾⣶⣿⢿⠻⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀ ⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⡇⣿⠰⡏⢀⣿⢻⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀⠀⠀⠀⡀⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀ ⠀⠀⠀⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣴⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠉⠉⡉⢩⣿⢹⣡⠋⠚⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣄⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠶⠶⠒⣛⣟⣹⣋⠖⡥⢨⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣶⣷⣿⣿⣾⣴⣠⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣦⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡻⣙⢬⠯⡿⣿⠟⡬⣛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣴⣤⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣷⣿⣿⣿⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⣃⣿⣿⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣭⣿⣿⠀⠁⠛⠶⡴⣤⣤⣤⡷⣿⣿⣿⣬⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠁⡟⣿⣿⣿⡴⣻⠚⠒⠒⠓⠒⠒⠒⣓⣿⣿⣿⣿⢿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠿⠈⠀⣄⣷⣿⢿⡿⣿⣿⣼⢀⠦⣿⢸⠄⠠⡻⢛⠛⠘⡗⢿⠀⣏⣿⣿⣿⣿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠗⣻⢿⡿⢰⠀⠃⡿⣿⣿⣿⣿⣿⢸⠀⠀⣷⣻⢛⣟⠛⠛⠚⡖⣶⣴⠀⣷⣿⣿⣿⣿⣿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢁⠿⠋⣿⣿⣿⣿⣿⣿⣿⢿⠿⠻⠈⠙⠀⠀⠀⠄⢷⠛⠈⠷⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢊⣧⣷⡏⣾⠀⠀⠀⠟⣾⢠⣶⢳⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⠿⠻⡞⣿⢿⠙⠀⣿⠛⠿⣿⣿⣐⣯⣿⣿⣿⣿⣿⣿⣿⣼⣠⣤⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⣿⣿⣿⢿⣿⣿⣿⢿⡟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣇⣿⣿⣿⣿⣻⣏⣿⣿⣿⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢛⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣴⣤⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣶⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠁⠾⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠶⠺⠀⡿⢟⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣠⢀⠀⠀⠀⠀⠀⣠⢀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣠⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣴⣤⣤⣤⣦⣷⣿⣾⣶⣥⣿⣀⣀⣀⣀⠁⠋⡾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣿⠙⠉⠛⠿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣶⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 1% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 3% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 5% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 8% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 10% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 13% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 15% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 18% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 20% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 23% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 25% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 28% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 30% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 33% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 35% ∧,,,∧ ( ̳• · • ̳) / づ♡ i love you 38% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 40% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 43% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 45% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 48% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 50% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 53% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 55% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 58% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 60% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 63% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 65% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 68% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 70% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 73% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 75% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 78% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 80% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 83% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 85% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 88% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 89% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 90% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 91% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 92% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 93% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 94% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 95% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 96% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 97% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 98% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 99% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 100%! ∧,,,∧ ( ̳• · • ̳) / づ♡ I love 110% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 120% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 130% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 140% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 150% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 160% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 170% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 180% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 190% ∧,,,∧ ( ̳• · • ̳) / づ♡ I love you 0% ∧,,,∧ ( ̳• · • ̳) / づ♡ nah jk I love you ♾️% ⋆｡‧˚ʚ🍓ɞ˚‧｡⋆

⠀⠀⠀⡧⠈⠀⠀⠀⠁⡼⡁⣸⠀⠀⠀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢸⠁⠋⠞⣶⠶⡶⢶⠲⠓⠉⠈⡀⠣⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠚⠀⠀⠀⣿⣦⠙⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⠳⣌⠳⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⠴⣩⠋⠖⠴⠤⢤⣤⠤⡶⢷⠙⠀⠃⠀⠀⠀ ⠀⠀⠏⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡷⠙⠀⠀⠀⠀⠀⠀⠟⣡⠞⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⡷⠀⠀⠀ ⠀⡞⢀⠀⠁⠚⡤⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠘⠀⠀⠀⠁⡟⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠀⠀ ⠃⢸⠀⠁⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⡿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀ ⡇⢈⠀⡇⢠⠀⡀⢡⠤⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⡏⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢸ ⠀⢸⠀⡄⢹⠀⠀⡀⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⠘⠀⠀⠀⠀⠛⠀⠀⢸ ⠀⢧⠈⠀⡀⢤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠃⠷⠀⡿⠀⠀⢸ ⠀⠀⢧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠞⢠⠀⡟⢀ ⠀⠀⠀⢧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠚⠶⣠⠀⠀⠞⢀⠀ ⠀⠀⠀⠀⣼⠲⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡼⠀⠀⠀ ⠀⠀⠀⡇⢸⠀⣀⠢⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡴⢀⠀⠀⠀⠀ ⠀⠀⠀⡇⢸⠀⠀⠀⡀⣇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠔⣠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⠀⠀⠀⠀⡟⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢰⠀⠀⠀ ⠀⠀⠀⠀⡄⠱⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⡴⣤⢤⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡴⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣄⣻⠳⠈⠈⠀⠀⠀⠀⠀⠂⠖⠴⡤⣏⢠⠀⠀⠀⡄⡐⣀⣀⠀⠀⠀⠁⠉⠉⠁⠉⠉⠃⠜⡤⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⣼⠀⠃⣿⣿⣯⣿⣦⠷⠛⠈⠀⡴⢀⠛⠒⠒⠒⠙⠀⠀⠋⠿⡿⣿⣿⣿⣿⣼⣿⣿⠸⢹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⢰⠀⡏⣿⢹⣿⣿⠀⠘⣿⣿⠻⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⣿⣿⣿⣹⠀⣿⣿⢸⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⣸⣿⡏⣿⢸⠀⣿⣿⣣⣿⠰⠉⠞⠉⠞⡤⣤⠲⣿⣿⣿⣿⣿⣾⣿⣿⠿⣿⣷⢻⡇⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⡇⢸⣹⣿⣿⢰⠃⣿⣿⡿⣿⡟⣿⡴⢀⠀⠀⠀⠀⠀⣄⣦⣷⣿⣿⣥⣿⣿⣿⡌⣿⡇⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⡇⢰⣷⢸⣿⠀⡟⣿⣿⣿⣿⣾⢁⠘⠀⠀⠀⠀⠀⠀⠀⠃⠉⢮⣦⠿⣶⢿⣧⢸⡇⡇⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠈⡿⠸⡟⢠⣿⠁⣿⣧⣿⣾⣇⢿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣲⠻⣎⠹⣇⡘⢻⡇⡇⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣷⢸⣧⢸⣿⡇⣸⡿⢀⡏⣼⠀⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠑⡄⡹⡄⠹⢻⣷⡜⡇⢠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢿⡿⢸⣾⡇⢸⣿⠙⣿⢀⠇⢱⣼⢀⠀⠀⠀⠀⠀⠁⢻⠀⡯⠿⣿⢾⡟⠹⡆⡜⡏⠸⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡄⣿⣿⢸⢸⡇⢻⣿⣇⣸⠀⣾⡅⠚⠟⠿⠿⠠⠄⠳⡏⣰⠈⣯⣿⣿⢿⣼⣧⠸⣧⣆⣹⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣷⢸⢸⡇⡇⣼⡟⢀⡇⢻⣯⣿⣿⣿⣿⠋⠐⠉⣇⠳⢿⡏⢸⠛⡌⣷⢯⢿⡆⠘⣿⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⡎⢸⢷⡇⣿⢸⣼⠀⠀⡁⣺⣀⣀⣀⣀⢀⠋⣇⣿⢊⣯⣿⢹⡧⢸⡇⣿⡇⠘⢫⣿⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⢹⣧⡇⡿⣿⢸⢰⠀⠀⡇⣾⠙⠀⠀⠀⠀⣸⡇⢿⠀⣦⣿⣷⡇⢿⡴⣿⡄⢸⡇⣿⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡆⡜⣿⣿⣿⢸⠀⠀⠀⡇⢻⡝⢻⠉⠈⢿⢩⡍⣿⠸⠀⣧⡇⡇⢿⠀⣼⠀⢸⡇⣾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣆⣿⣿⢸⠀⠀⠀⡇⢹⠀⡀⣧⣈⣿⣅⣉⣾⢠⠀⡇⡷⡟⡿⠀⢸⠇⢸⡿⢰⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣶⣶⣶⣶⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣾⣿⣿⣿⣷⣶⣯⣟⡷⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠉⠛⢿⣿⣮⡻⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣵⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠙⢿⣿⣞⢷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⣴⡄⠀⠀⠹⣿⣎⢿⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠟⣿⣄⠀⠀⠹⣿⣏⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢟⣽⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣧⣤⣾⠟⠃⠀⠀⢹⣿⣼⣷⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣍⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣻⣿⠶⣿⣿⣿⣿⣿⠿⡛⢏⡍⠳⣌⠲⡐⠦⡑⢎⡙⢻⢿⣿⣶⣻⣷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠉⡉⠛⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⢿⣿⣿⡟⣍⠳⣈⢇⡙⢢⡜⡱⢄⢣⡙⠴⣉⠦⡙⢦⡉⣿⣿⣿⣹⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⠀⣰⠎⠀⠂⢁⠠⠐⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠋⠀⠀⣿⣿⣧⢂⠳⡌⢦⡙⢆⡜⡰⣉⠖⠬⡑⢆⢣⡙⢤⣽⣿⢏⣿⣼⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣆⠀⠀⠀⠈⡀⠄⠁⠠⠀⢢⡿⠛⠀⠀⠀⠀⠀⠀⣠⣴⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠁⠀⠀⠀⢸⣿⣿⡌⡱⡘⠴⣘⠢⡜⣡⠒⣌⠣⢍⠎⣆⣙⣾⣿⢋⣾⣿⣿⠏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣦⣄⡀⠐⠀⡈⠠⠁⠈⠁⠀⠀⠀⠀⣀⣤⣶⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⢸⣿⣿⡖⣡⠙⢦⢡⢓⡸⢄⢫⠰⣉⠦⣉⣶⣿⡟⣥⣾⡿⣿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣧⣄⣤⣤⣤⣶⣶⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠦⣙⠢⣑⠪⡔⢪⢅⠳⣈⢶⣽⡿⢣⣾⣿⢟⣾⠋⠀⠀ ⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣻⡟⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⣸⣿⣿⢃⠳⡄⢳⢨⠱⡌⢣⢌⢳⣼⣿⢯⣱⣿⡟⣳⡟⠁⠀⠀⠀ ⠀⠀⠀⢠⣾⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⢿⣿⠃⠀⠀⠀⠀⠀⠙⠹⠙⠫⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣶⣦⣶⣿⣿⡟⡌⢣⠜⡡⢎⡱⢌⢣⣮⣿⠿⣱⣾⣿⣫⡾⠋⠀⠀⠀⠀⠀ ⠀⢀⣴⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡏⠀⠂⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡿⢋⡝⡛⠿⠿⠿⡟⢫⠔⡩⢆⡹⣐⢣⢲⣼⣿⠿⣙⣾⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟⣼⡷⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠿⣿⣧⠀⠀⠀⠀⣀⣠⣤⣾⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⡿⢋⡔⢣⠜⣌⢣⡙⠦⡙⠦⣙⠰⣃⠴⣨⣶⣿⡟⣽⣾⡿⠛⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⣼⡟⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡏⠀⠻⣿⣿⣶⣿⣿⡿⠿⠛⠉⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⢟⠣⡜⡡⢎⡑⠎⡔⢢⡑⢎⡡⢓⠬⡑⢦⣷⣿⠟⣧⣽⣿⣏⠀⢠⣟⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⣠⣴⡶⢶⡤⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⡿⢛⠬⡌⢳⠰⡑⢎⡜⡱⡘⢥⠚⡤⠣⢍⣲⣽⣿⢟⣱⣾⣿⣿⠿⣿⣿⣫⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡟⠀⠀⠀⠀⠀⢠⣿⠋⠁⠈⠁⠀⠀⠹⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⣿⣿⣿⢯⡽⣫⠾⡽⢮⢧⡻⣎⢷⣣⢻⢮⡻⣵⣻⣾⣿⢿⣯⣾⣿⣿⣿⣿⡿⠟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣧⠀⠀⠀⠀⠀⠈⣿⣆⡀⠀⠀⢀⣠⣾⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣶⣿⣿⣿⡿⢿⡻⣧⢫⡷⡽⣭⢟⡵⢯⣎⣳⢞⡷⢯⡟⣮⣿⣿⣿⢟⣯⣿⣿⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣧⡙⢆⡍⠲⢌⠣⡜⡰⡉⢖⠱⣂⠭⡘⣅⠣⠎⡜⡡⢎⡌⡓⡌⢎⡱⡘⢤⡙⠜⡢⢅⠫⠜⣢⠑⡎⡔⣢⣵⣶⣿⡿⠟⡭⣮⣽⣾⢿⣯⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣻⣿⣷⣌⠜⡱⢊⠵⣨⠑⡍⢎⠲⡡⢎⡱⢢⡙⡜⡰⡑⢎⠴⢱⡘⠦⣡⠙⡆⡜⣡⠓⣌⢣⡙⣤⣫⣴⣿⣿⠿⣛⣥⣽⣾⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣧⣛⣿⣿⣯⣖⡩⢒⡡⢍⡜⠬⣑⠱⣊⠔⡣⢜⡰⠱⣉⠎⡜⡡⢜⠢⣅⠳⣘⢰⣡⣯⣴⣷⣿⣿⠿⣟⣹⣦⣿⣿⠿⠋⠁⢸⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣷⣬⢛⣿⣿⣿⣷⣮⣶⣘⣦⢡⠓⡬⡘⢥⢢⡑⢣⠜⡘⠴⣑⣮⣵⣦⣷⣾⣿⣿⡿⢟⡻⣍⣶⣷⣿⣿⣿⣏⠀⠀⠀⠀⣼⢻⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣷⣦⣍⣛⠻⠿⣿⣿⣿⣿⣿⣷⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⠿⢿⠛⣏⣹⣔⣮⣷⣿⣿⣿⣿⣧⣳⣞⣿⣷⣦⣶⡾⣫⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣷⣭⣖⣦⣩⡍⢯⣙⣛⡛⣛⠻⡹⣍⣫⣕⣲⣬⣽⣶⣿⣿⣿⣿⣿⣿⠿⠛⠛⠿⣯⣽⣽⣭⣽⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣛⣉⣭⡿⢻⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠿⣿⣿⣿⡿⡾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀

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⣿⣧⣿⢰⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣷⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠁⡄⣿⢠⠀⠀⠀⠀⠀⠀⠀⡄⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠰⣧⠀⠁⠉⠉⠈⠀⠀⠀⠀⣿ ⣿⣿⣿⠀⠅⠋⠛⠿⠿⣿⠿⡀⠋⠚⠛⣌⣿⣿⣿⣿⢿⠻⠀⣿ ⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⢡⣿⣿⣿⣿⣿⣿⢸⣿ ⣿⣿⣿⡄⣿⣿⣿⣿⣿⣿⣿⢿⣟⣿⢿⣿⣿⣿⣿⣿⣿⣿⢠⣿ ⣿⣿⣿⢸⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣰⡟⣿ ⠀⣿⠻⠚⠐⠁⣦⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣾⢡⡿⣿⣿ ⠘⣷⣿⠹⣦⢿⡙⣮⣷⣿⣿⣿⣿⣾⣡⣛⢛⣛⢛⠿⣿⣿⣿⣿ ⣿⠙⣧⣿⢻⣄⣧⣿⠿⡚⣛⣐⢃⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠹⣆⣿⢿⡛⣿⣿⢰⠁⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠸⣦⣿⣿⣿⣾⠄⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⣿⣿⣰⠁⠟⣑⣬⠀⠀ ⣄⣤⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢻⣦⣦⠚⣌⣦⢠⠁⠀⡟⢇⠸⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿ ⣿⢹⢇⠀⠠⠉⠁⡏⢿⣿⡿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡜⢷⠻⠿⣻⡿⡿⡟⣴⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠻⣍⣦⣶⣴⣥⢋⡿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⢰⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⢹⠰⡀⠀⠀⡃⠑⢾⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⡀⠀⡆⠇⠀⠛⣄⠀⣇⣰⡿⣧⣤⣤⣬⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⠀⠸⠐⣧⣈⢸⣄⢈⣷⣿⣿⢃⣿⣫⣴⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⡄⠐⡁⠈⢆⠈⠉⠻⣿⡿⡛⠉⣀⣤⣤⣤⣭⣿⡓⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠀⠐⡆⠈⢳⣶⣶⢯⠊⣠⣾⣿⣿⣿⣿⡍⠉⠳⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢆⠀⠑⠀⡀⠙⡿⠁⣾⣿⣿⣿⣿⠝⠒⠢⢄⠀⠀⠑⢤⡀⠀⠀⠀ ⠀⠀⠀⠐⣤⣈⣦⣀⣀⠀⢀⡧⢤⣿⣿⣿⣿⣀⠄⠀⠀⠀⣣⣷⣦⡀⠈⠢⡀⠀ ⠀⠀⠀⠀⢣⡈⠙⢣⡀⢨⠃⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣶⣶⣿⡆ ⠀⠀⢀⣐⣶⣛⠯⠖⠳⢼⠀⠀⠀⠀⡜⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠹⣁⠀⠀⣈⣩⠥⠀⠳⣦⠀⠀⣳⡿⢿⣿⣿⣿⣮⡻⢿⣿⣿⣿⣿⡫⣺⠀ ⠀⠀⠀⢈⣻⢛⡳⠤⠤⡾⣟⣒⠛⠯⡽⣍⠐⢌⡉⠙⠛⠛⠳⠬⠟⠋⠐⢊⠍⠀ ⠀⠀⡠⢐⡗⢁⡾⠋⣉⣬⠖⠒⠲⡤⠌⣂⠥⢀⡈⢣⡈⠀⠀⠀⠐⠪⢽⣋⠒⢄ ⡠⠊⠀⠛⠲⣿⡃⠜⡯⣴⢺⡛⠲⣵⢄⡀⠨⠁⠒⠒⠈⠀⠀⠀⠀⣀⣀⣉⡹⠂ ⠀⠀⠀⠀⠀⠘⡿⠀⢀⢿⢸⡇⠀⠀⠑⠪⡍⠒⠂⠀⠀⠀⠀⣠⠤⠐⠒⢾⡿⡂

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⣶⣤⣔⣶⡶⣦⣤⣠⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣯⡏⠉⣴⣿⢿⢿⣿⢷⣶⣍⡻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡶⢤⣴⣿⠟⠀⢁⡞⠛⡟⢣⠐⢳⡀⠈⢻⣯⡺⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣇⣾⣟⠎⠀⢠⡞⠀⡀⢀⠆⠀⠀⣧⠀⡀⠹⡳⣦⣿⡦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡸⣻⣟⡟⠀⠀⢸⠁⢀⢧⢸⡾⡀⠶⣿⡿⣳⣅⣼⢻⠙⢿⡶⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠞⠉⡿⢡⢡⠀⠀⣿⠀⣿⣯⣭⣹⢝⡊⢸⠚⢻⠝⢺⣗⢆⣸⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⢳⣮⣣⣤⣄⡟⣇⡿⣻⡿⣿⠉⠻⣜⠐⠿⣛⡻⠿⠿⠵⡳⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡿⢻⢡⡿⣼⡃⢡⠈⣴⠈⠒⠋⠀⠀⠐⠀⠀⠀⠌⡟⡦⣌⡉⠻⡉⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠃⢹⣾⠀⢹⣷⡜⣷⣿⣧⠀⠀⢴⠞⠛⣿⠀⢀⢧⡜⡟⠀⠉⠓⢄⡀⠈⠓⠤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠀⢸⢹⡆⢸⣿⡛⡷⣝⣽⠳⢦⣌⡓⠀⣢⠔⡡⢻⡋⠀⠀⠀⠀⠀⠑⢦⡀⠀⠀⠑⠢⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣼⢇⡼⠿⣿⣿⡿⣿⡄⠀⠀⢹⢉⡰⠛⠁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠙⢶⡀⠀⠀⠀⠙⠢⡀⠀ ⠀⠀⠀⠀⠀⢏⣞⠝⠀⠀⠸⣿⣿⡺⣮⣤⢀⣘⠓⠶⣶⡔⢶⣖⢤⡤⠤⠤⠠⣖⢲⣦⡤⠽⢦⡀⠀⠀⠀⠘⣆ ⠀⠀⠀⢀⢴⣾⡾⠀⠀⠀⢀⠚⣿⣷⡈⠻⣆⡈⠁⢁⣈⣇⠘⣿⣄⠀⠀⠀⠀⢸⠈⡿⡇⠀⠀⠉⠀⠀⠀⠀⢸ ⠀⠀⠀⡎⣫⠟⡇⠀⠀⠀⠘⠀⠈⠻⣿⣶⣾⣽⣲⣗⠋⢻⣦⣿⠀⠀⠀⠀⠀⢠⣤⣆⡧⠤⠤⠄⠤⠐⠒⠂⠁ ⠀⠀⢀⢾⢯⡎⠀⠀⠀⠀⠀⣴⠁⠀⠀⠉⠙⢟⠻⠿⣿⣼⡟⣬⠂⣧⠴⠐⠂⠚⠋⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⡼⢣⣿⡖⠒⠂⠀⠒⡳⠀⠀⠀⠀⠀⠈⠑⠚⠓⣟⣉⣳⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⡧⢺⢻⣿⣿⣓⣲⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠫⣆⠸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡻⡅⠊⣶⡇⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⡿⡾⠈⡇⠀⠀⠀⢸⢇⠀⠀⠀⠀⠀⠀⠀⠀⠘⣴⡀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⣝⠿⣐⡏⠀⠀⠀⣼⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠱⡄⠀⡟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣿⣿⣯⠀⠀⠀⡟⡇⠀⠀⠀⠀⠀⣀⣀⡀⠤⠬⢆⡿⣄⣃⡈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣿⠀⠀⠀⢱⣷⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠘⠁⢸⠧⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠯⣆⠀⢀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣳⠟⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⢸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡾⢇⠀⠀⠉⠓⠲⠤⠤⠤⠤⠤⠤⠤⠲⢲⣻⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠏⠀⡸⠓⢵⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⣼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⠛⢀⡞⠁⠀⠀⡞⠉⠉⠉⠁⡖⠀⠈⠹⡍⠉⠈⠙⣞⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡴⡟⠉⠀⡾⠀⠀⠀⡸⠀⠀⠀⠀⢠⠇⠀⠀⠀⡇⠀⠀⠀⠘⡜⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡽⠀⠀⡰⠁⠀⠀⢰⠃⠀⠀⠀⠀⣼⠄⠀⠀⠀⢱⡄⠀⠀⠀⠹⣄⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢨⣿⣄⠀⣴⠃⠀⠀⢀⡏⠀⠀⠀⠀⠀⣯⠀⠀⠀⠀⢸⣳⠀⠀⠀⠀⠙⣦⢝⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⢿⣿⣥⣀⡀⠀⡼⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⡟⢇⠀⢀⠀⣀⣌⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⠟⠙⢻⣿⣶⣿⣿⣷⣶⣤⣀⣰⡿⣿⣶⣶⣦⣤⣼⣾⠿⠛⠛⠋⠉⠉⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢧⠉⠙⠁⠈⠉⠛⠛⠚⠛⢀⡇⠉⢯⠙⠉⠁⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠰⠂⠀⠀⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠠⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡴⠒⠒⠒⠒⠒⠶⠦⠄⢹⣄⠀⠀⠑⠄⣀⡠⠤⠴⠒⠒⠒⠀⠀ ⢇⠀⠀⠀⠀⠀⠀⠐⠋⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀ ⠈⢆⠀⠀⠀⠀⡤⠤⣄⠀⠀⠀⠀⡤⠤⢄⠀⠀⠀⠀⠀⣠⠃⠀ ⠀⡀⠑⢄⡀⡜⠀⡜⠉⡆⠀⠀⠀⡎⠙⡄⠳⡀⢀⣀⣜⠁⠀⠀ ⠀⠹⣍⠑⠀⡇⠀⢣⣰⠁⠀⠀⠀⠱⣠⠃⠀⡇⠁⣠⠞⠀⠀⠀ ⠀⠀⠀⡇⠔⣦⠀⠀⠀⠈⣉⣀⡀⠀⠀⠰⠶⠖⠘⢧⠀⠀⠀⠀ ⠀⠀⠰⠤⠐⠤⣀⡀⠀⠈⠑⣄⡁⠀⡀⣀⠴⠒⠀⠒⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢯⡉⠁⠀⠀⠀⠀⠉⢆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣞⡄⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⠀⠀⠀⠀⠀⠀⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⣿⠀⠀⣤⣶⣷⣶⣿⠁⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⢸⣆⣼⡏⢠⣦⡈⢿⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠘⠛⢻⣧⡈⠛⣀⣿⡀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠏⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡏⠀⠈⣷⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⠀⠀⠀⠀⠀⣀⡤⠶⣿⣿⠿⠤⣤⣴⣿⠀⠀⠀⢀⡀⠀⠀⠄⠀⠀⠀⠀⠀⠀⣀⣴⣶⣿⣷⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⠙⠻⣿⣿⣷⣶⣿⠥⡄⠀⠀⠀⠀⠀⠀⠈⠙⢷⡶⠆⠘⠟⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⠟⠉⠀⠈⠙⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣧⠘⠟⠙⣿⠁⠀⠀⠐⢀⡀⢤⡀⢤⡀⢢⡘⢦⡄⠀⠀⠀⢰⡂⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠈⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢽⣷⠆⢀⡿⠀⠀⠀⣶⠀⠹⡌⣷⠀⣿⣄⣿⡈⣿⡶⢳⡤⢸⣧⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣶⡄⠿⠠⣇⢸⡄⣿⡀⠀⢻⣿⡶⢿⣌⣻⣇⣿⣿⢈⡇⢸⣏⠳⣄⠀⠀⠀⠀⢿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⡀⠋⠁⢀⣼⢿⡎⣷⣘⣧⠀⠀⠙⠸⣾⡟⠛⣿⠃⢸⢿⣇⠘⣿⠳⣬⣟⣶⣤⠀⠈⠻⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠳⣾⣀⣼⠿⣌⣷⣼⣧⣽⡆⠀⠀⠀⠈⠁⠀⢉⣀⡜⣸⡏⠀⣿⡆⠀⠈⠁⠀⠀⠀⠀⠈⠙⢿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⠋⣽⡄⣿⠛⡃⡀⠙⠃⠀⣠⣶⣦⠀⢠⡿⠏⢀⣿⣀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⣾⣄⣿⣧⡹⣆⠀⠸⣧⣀⣀⣈⣛⣃⡴⠟⠁⣠⣿⣿⡏⣰⣿⡀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣾⠟⢁⠀⠀⠉⢷⡙⣦⡀⠀⠈⠉⠉⠉⠉⠶⠤⠞⢻⣿⣿⣷⣿⣿⡇⠀⠀⣀⣀⣀⠀⠀⠀⠀⣠⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣇⠀⡏⣰⢂⣀⠠⡟⠺⢇⣰⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠘⢿⣿⣿⣿⣿⣿⣶⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠓⠛⠈⠛⠉⠀⠘⠆⢸⣿⡇⠀⠀⠀⠀⠀⠀⠲⣿⣿⣿⣿⣿⣿⣿⠀⢸⣿⡿⣿⣿⣿⣿⣿⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⢀⣠⣾⣿⣿⣄⠀⠀⠀⠀⠀⠀⠘⢻⣿⣿⣿⣿⠏⠀⠀⠛⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⡿⣿⣦⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡇⠀⡰⠃⠀⠀⠈⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠛⢻⣿⣿⣿⡇⠈⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⣰⡋⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⡀⠀⣼⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠁⠀⠸⠟⠻⠿⠇⠀⠀⠀⠀⢀⡴⠃⢀⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡛⠣⣀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠋⠀⣠⣾⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣷⣦⣭⣀⣀⣀⡀⣸⣃⣀⣠⣴⣶⣶⣿⣿⣿⣿⣯⣀⣀⠀⠀⣠⣾⣷⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠌⠉⠉⠁⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣄⠀ ⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡫⠀⠴⠚⡠⠤⠤⠤⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⡿⠿⠿⠿⠿⢿⣿⠿⠿⠿⡿⠟⠛⠀ ⠀⠀⣰⡾⠿⡟⠻⣷⣿⢻⣷⣀⣀⣀⣀⢀⣉⡀⣀⣉⠀⠀⢀⣀⣀⣉⣀⣀⡀⣀⣀⣀⡀⠀⢀⣼⡟⢻⡷⠀⠀⢀⣴⠿⢿⡿⣿⠟⠿⣦⡀ ⠀⠀⣿⣅⠘⠿⣷⣿⡉⠀⣙⣿⣉⣉⠻⣟⠛⣿⡟⢙⣿⠀⣿⠋⢉⠙⢋⠙⢻⣿⣉⡉⠻⣿⠟⠋⠁⢸⡇⠀⣴⡿⢃⣴⡿⣿⡿⠿⢀⣿⠇ ⠀⠀⣸⡿⢷⡦⠈⣿⡇⠈⢿⡟⠉⣥⠀⢹⣆⠘⠀⣾⠇⠀⣿⠀⢸⠂⢸⡇⢸⡟⢉⣅⠀⣇⠀⢿⠇⢸⡇⠀⢻⣧⡈⢿⣶⣿⣷⡶⠈⣿⠀ ⠀⠀⠻⣷⣤⣤⣾⠟⢿⣦⣴⣷⣦⣤⣤⣾⡿⠀⣼⡏⠀⠀⢿⣦⣾⣦⣾⣧⣼⣷⣤⣤⣤⣿⣷⣤⣤⣼⡏⠀⠀⠙⢷⣤⣽⣷⣤⣤⣾⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣶⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣶⢷⠻⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠛⠿⠿⠛⠙⠀⠀⠀⠀⠀⠁⠛⠛⠛⠙⠈⠀⠀⠀⡄⣿⠉⠈⡀⣄⣿⠻⠀⠀⠁⠉⠉⠉⠉⠀⠀⠀⠀⠀⠟⣾⢷⠿⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠃⣿⣀⠀⠀⡀⣄⢷⠙⠈⠀⠀⣿⣼⣀⣀⣤⣧⢿⠻⠀⠀⡀⣤⣶⣶⣶⣶⣿⢰⠟⣾⣠⣀⣤⣤⣶⠿⠛⠀⠀⣿⠈⠀⠀⣄⣷⠙⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⣿⠙⠉⠉⠛⠿⣶⣤⣶⠿⠙⣦⢿⠻⠿⡿⣶⣤⣿⠘⠀⠀⠀⠀⠀⠀⡇⣾⠀⣆⢿⠙⠉⠛⠟⡿⣿⣼⠀⠀⡄⣦⢷⠿⠛⠛⣿⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣄⣤⣤⣀⢀⠀⠀⠀⡀⣤⣷⠻⣈⢀⠀⠀⠀⣧⢸⠀⠀⠀⠀⠀⠀⣿⢰⠀⠀⡀⣄⣤⣀⣀⡟⣼⠀⠀⠀⠀⠀⠀⠀⠋⡿⣴⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⠻⠈⠀⠀⡇⢹⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀⠀⠃⡿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠿⠁⠛⣿⣿⠈⠀⡇⣿⠀⠀⠀⠀⠀⡿⢰⠀⠀⠀⠀⠀⠀⠀⣿⢠⠀⠀⠀⠀⠀⠟⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⡾⢠⠛⢴⠟⣴⠀⠀⠀⣷⢈⣷⣏⣿⣾⢠⠀⡄⣿⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠁⡟⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡉⢿⠛⣿⠙⣯⠸⠀⠀⠇⣾⢧⡾⣸⠋⣿⠰⠀⠀⣿⠀⠀⠀⠁⣿⢠⠀⠀⠀⠀⠀⠀⠀⡏⢸⠀⠀⠀⠁⡿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣦⣹⣿⣐⡆⣻⠀⠀⠀⡏⢿⡀⢀⠀⣦⣻⠀⠀⠀⣿⠀⠀⠀⡇⣽⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠁⡿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡿⣿⣨⠀⠗⣤⠀⠀⠀⣿⣴⠀⠀⠀⣿⣸⠀⠀⠀⣿⠸⠀⠀⡀⣷⠹⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⡿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠟⠾⣴⣤⣤⣤⣶⠿⠛⠈⠁⡟⢰⠀⠀⠀⠀⢿⠀⠀⠀⣄⣷⠹⠈⠀⡀⣧⠻⠀⠀⠀⠀⠀⠀⣿⠀⠀⡟⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠏⣾⣠⠀⠀⠀⠀⠆⠿⠿⣛⣦⡿⢨⠀⠀⠀⠀⡟⢠⠀⠀⠀⠀⠀⣄⣷⠻⠈⠀⣦⢻⠈⠀⠀⠀⠀⣿⠀⠃⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⣿⢀⠷⠙⠉⠈⠀⠀⡀⣀⣀⠀⡀⣷⡿⠰⠀⠀⣷⣿⠿⠛⠉⠀⠀⠀⠀⣀⣦⠻⠈⣄⢿⠘⠀⠀⠀⣿⠀⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣿⠦⠶⣤⣀⢀⡄⣷⠿⠳⠚⠀⠀⡁⢻⠀⠀⠀⡿⣿⣿⣿⣿⣿⠿⠛⠙⠈⠀⡀⣦⢿⡙⣿⠻⠛⠛⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⣿⠘⠀⠀⠀⠀⠀⠀⣆⠳⠛⠈⠋⣾⢀⠀⠀⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠛⠙⣟⣿⣠⣀⣀⣄⣷⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣰⣆⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠘⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⣿⠙⠀⠀⠀⠁⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡆⠸⠀⡀⢦⠙⠈⠀⠀⠀⠛⠛⡟⣸⠀⠀⠀⠃⣸⣧⢻⠀⡀⣀⣀⣀⣀⣄⣤⣤⣧⣿⢷⠿⡻⣿⣿⣾⣴⣿⣽⣤⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣦⠙⠀⠀⠀⣀⢦⠶⡶⢠⠀⠀⠀⠀⠀⠇⣴⠀⠀⣧⢻⠀⠀⠀⠀⠀⠀⠀⠃⣾⢀⠀⠀⠀⠀⠀⠀⠀⣇⣿⠻⠀⠀⡀⣄⣦⠷⠛⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⡾⠀⠀⠀⠀⣦⢻⠈⠀⠀⠀⠀⠏⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⢿⠘⠀⠀⠀⠀⡀⣄⣧⠹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣄⠳⠙⠏⠹⠉⠛⣴⣦⠶⡴⢀⠀⠀⠀⠀⠀⠀⣄⢷⠙⠀⠀⠏⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⠻⠈⠀⠀⠀⠀⠀⣷⠘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⡀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⢿⠟⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⠙⠀⠀⠀⠀⡄⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⢿⠙⠀⠀⠀⣇⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⢿⠙⠀⡀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠛⠙⠉⠈⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⢿⠻⣯⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣀⣤⣤⣶⢶⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢶⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣉⣛⠿⠾⠶⠿⠻⠛⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣵⣛⠟⠿⠿⠻⠛⣈⣦⢿⠘⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⠀⠀⠀⠀⠀⠀⠀⠀⠏⣾⢃⣿⣿⣿⣿⣿⣿⣿⣿⠸⡀⣿⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⠀⠀⠀⠀⠀⠀⠀⣿⢀⡄⣠⣀⣀⣀⣀⣀⣄⣤⣶⠀⡇⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⡿⢻⠈⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠋⠈⠀⠁⠛⠀⠀⠀⠀⡇⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣼⠀⠀⣄⢷⠘⠀⠀⠀⠀⠀⣧⢻⠀⠀⣶⢰⠀⡆⣾⢠⠀⠀⠁⡿⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢿⠙⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⣦⢿⠙⠀⠀⠀⠀⠀⠀⠁⠋⡾⣠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣦⣶⣤⢀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣶⠷⠿⠿⠿⡶⣴⣠⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇

⠀⠀⠈⢶⡀⠀⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⢀⡴⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⣤⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⠀⠀⠀⠀⠈⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠉⡿⢀⡔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠖⠛⠋⠉⠉⠉⠉⠙⠒⠦⣄⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣦⠀⠀⠀⠀⠀⠘⣿⠶⣄⡀⠀⠀⠀⣰⠏⠀⢸⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠀⢀⣀⡤⠤⣄⣀⣀⠀⣀⡈⠙⠶⣄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠈⠳⣄⡉⠓⠦⣄⣇⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠪⣝⡛⠛⢦⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡀⠀⠉⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⢳⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⡀⠀⠀⠀⠀⠈⢧⠀⠙⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣦⣄⣀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠀⠀⠰⡼⠀⠀⠀⠀⠀⠀⠀⠀ ⠦⣝⢦⡀⠀⠀⠀⠈⣷⣄⠈⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠿⠟⠋⠉⠁⠀⠀⠀⠙⢷⣤⣄⡘⢧⠀⠀⠐⣆⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠸⡇⠀⠀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⢦⡀⠉⠛⠒⠀⠀⠀⢻⡈⠳⣄⠀⠀⠀⠀⠀⠀⠀⣰⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠈⠙⢮⣇⠀⠀⢹⣄⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⢻⡀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⣦⣄⡀⠀⠀⠀⠀⠹⣄⠈⠳⢦⠀⠀⠀⠀⠘⠁⠀⣀⣤⣶⣶⣶⣶⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⡸⠙⢦⡀⠀⠀⢷⡀⠀⠀⠀⠀⠀⢳⡄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⢭⣗⣲⠀⠀⠀⠘⢧⣀⠀⣀⣀⣀⠀⠀⣠⣾⣿⡿⠿⠛⠛⠿⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⣇⣠⠇⠀⠀⠙⠦⣀⠈⠳⡄⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢦⡀⠀⣀⡼⠷⣬⣙⣀⣀⣠⠴⠛⠉⠉⠀⢸⣿⣿⣿⣿⡟⠀⠀⠀⠀⢀⣸⡏⠻⣿⡿⡄⠀⠀⠀⠀⠘⠋⠁⠀⠀⠀⠀⠀⠈⠙⠒⠿⢦⡀⠀⠀⠀⠀⠈⠧⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⣽⠛⢁⣠⣀⡈⢻⡽⠋⠀⣀⡤⠀⠀⠀⢤⡷⣿⡏⢸⠀⠀⠀⠀⠀⡟⠁⠙⠢⣿⡷⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⢠⡍⠲⢤⣀⠀⠀⠀⠈⢑⣶⠆⠀⠀⠀⠀ ⢼⠁⢠⠟⠀⠀⢩⠏⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⢻⡇⠸⡄⠀⠀⠀⠀⠳⣄⣠⠀⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣷⣴⡿⠁⠀⢦⡈⢻⡍⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⣾⠀⢸⣄⡀⠀⣇⣰⠋⠀⠀⠀⠀⢀⠀⠀⠀⠀⠈⠿⣆⣙⣦⣄⣀⣀⡠⠞⠁⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠿⠛⠉⠙⠿⠯⠼⠀⠀⠀⠙⢦⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⠀⠘⣄⠉⠛⢻⠃⠀⠀⢀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠓⠦⠤⣀⡀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠰⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⠦⣀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢳⣄⠈⠓⠒⡇⠀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠓⠢⠤⣇⣠⠎⠀⢠⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡖⠲⠦⢤⣤⣤⡤⠞⠙⢧⠀⡄⠀⠀⠀⠀⠀⠀⠀⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢺⡏⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⠀⠀⠀⢳⣄⣰⠶⣄⠀⠀⡇⢠⢶⡾⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠾⣇⣀⣏⡿⠋⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢣⣸⡇⠀⢰⠏⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⢀⣀⡤⡴⠧⢤⣀⣀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠔⠚⠛⠚⢿⡇⠀⣼⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡼⣧⠔⣲⠒⠛⠓⠛⠳⠤⣀⡀⠉⠓⠢⢤⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠊⣡⠤⠤⠤⢤⠀⢳⠀⡇⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠙⢷⡶⢤⣤⣤⡤⠶⠚⢉⣻⣽⡿⠯⠤⣤⣄⡀⠀⠀⠈⠙⠲⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀ ⣰⠷⠋⠀⠀⠀⠀⠀⢀⣈⣷⣇⠀⠀⠀⢀⡏⣠⠶⠚⠉⠓⠲⢤⡀⠀⢀⡼⢳⡀⠀⠀⠙⢷⣠⠟⢷⠀⠸⣍⣨⡟⠀⠀⠀⠀⠀⠈⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀ ⠋⠀⠀⠀⠀⢀⡤⠞⠉⠁⠈⠹⣆⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⡭⠷⠊⠁⢈⡇⠀⠀⠀⠀⠉⠳⠦⣇⣀⣸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀ ⠀⠀⠀⠀⣠⡟⠁⠀⠀⠀⡀⠀⠈⠧⣀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠿⠳⣿⠛⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀ ⠀⠀⠀⠀⣿⠀⣠⠴⠒⡶⠃⠀⠀⠀⠈⠙⠒⠚⠃⠀⠀⠀⠀⠀⠀⠀⠐⠋⠀⠀⠈⠑⠲⢤⣀⡀⠀⠀⠀⢀⣸⣷⠒⠛⠀⠀⠀⠀⠉⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⣿⡾⠁⢀⡾⠁⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠒⠚⢉⣥⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⡠⠀⠉⠁⠀⣼⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠶⠤⠶⠖⠉⡽⠀⠀⠈⠙⠲⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠇⠀⠀⠀⠀⢻⡀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠤⣀⣀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠈⠛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⡆⠀⠀⠀⠀⠀⠙⢦⡀⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

༘⋆🌷🫧💭₊˚ෆ

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⡞⢀⠀⠀⠀⠁⡞⢀⠀⠀⠛⠑⠉⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠘⠈⠀⠀⠀⠀⠀⠀⠀⠀⣇⠈⠀⠀⣀⠀⠖⣠⢞⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠒⠒⠒⠀⡄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠴⠤⣀⣇⠉⡸⠀⠀⡀⢍⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠊⠴⣠⣀⣂⢙⠤⠳⠉⠉⡄⠙⠀⠀⠀⠀⠀⠀⠁⠊⣷⠀⠀⠀⡀⢀⢱⠀⠁⡴⢀⠀⣀⠬⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠖⡠⢀⠀⠃⠙⠀⠂⡀⠻⠈⢸⡀⣀⣱⢤⠶⠒⠒⠖⡤⣀⢸⡄⠈⠀⠀⠀⠀⡄⣠⣸⠀⠁⠞⡠⠁⡜⣀⣄⠻⠙⠈⠀⠀⠀⠀ ⠶⣴⢀⠀⠁⠉⠀⠀⡀⢧⠈⠈⢠⡀⢠⠀⠀⡇⠀⡆⠈⠀⠀⠀⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀⢤⠤⢀⠀⠎⣠⠀⠀⠁⡴⠢⣽⢤⠒⠉⠀ ⠃⠀⠀⠀⣢⡀⢄⠑⠀⠀⢼⡤⠀⠀⠀⠀⠀⡀⠸⠀⢳⠀⠀⠀⠀⡇⠀⢇⠈⠀⠀⠀⠀⠀⠀⠀⠀⡏⢹⠚⠔⡤⣀⠀⠀⡀⢦⠙⠀⣄ ⠁⢘⠀⠀⠀⠄⠙⠀⣀⠤⢠⠀⠀⠀⠀⠀⠀⠀⢷⠀⡄⠸⠀⠀⠀⠀⠸⡇⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢻⠈ ⡠⠀⠀⠀⠀⠂⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢫⠈⡄⠘⠀⠀⠀⢱⢿⡟⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠠⣄⣟ ⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢄⣔⠶⢛⠉⠁⠋⣯⢠⣿⣼⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢰⠀⠀⡏ ⠀⢦⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⣀⣳⠟⢀⠀⣄⢸⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⢀⠀⠀⠋⢰ ⠀⠀⣔⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠋⣴⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⢀⠀⠀⠞⢠⠀ ⠛⠀⠀⠀⢔⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠋⡿⣶⡰⢁⠉⠉⠉⡄⢧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡶⠀⠀⠋⡼⢀⠀⠀ ⣄⠱⠀⠀⢀⠁⣅⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠞⢡⠟⡿⣺⠶⣴⢤⣤⣀⣀⣀⣀⣀⣄⠱⠀⠀⠀⠀⠀⠀⠋⡴⢀⠀⠀⠞⣠⠀⠀⠀⠀ ⠀⠀⣄⠳⠈⠀⠀⠀⡙⢤⠲⠉⠀⠀⠋⣻⡾⣤⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢧⠙⠉⠋⠖⡤⢄⠀⠁⠞⣠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠦⠙⠀⠀⠀⠀⡀⣍⠿⣬⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢳⡀⣢⠈⠀⠁⠊⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠤⠲⠙⠉⡾⣿⢦⠘⠀⠀⠀⠀⠒⠈⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢣⠀⡀⣦⣌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⢡⠛⡷⠿⠙⠈⠀⠀⡀⢄⠀⠀⠀⠀⠀⢆⠈⠀⠀⠀⠀⡇⢤⠤⠲⡘⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⢀⡇⣿⣿⣻⠴⣀⣇⣒⠣⠘⠀⠀⠀⠀⠀⠀⠀⠀⢇⠈⠀⠀⠁⢸⠀⠀⠀⡀⠣⡀⢤⠑⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠟⣠⠏⡉⣀⣧⣼⢀⠀⠀⠀⢳⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠃⡰⠀⠀⠀⠀⠀⠁⢹⠀⠀⣀⠲⠙⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⡧⢂⡒⡒⣶⠳⠀⢆⠈⠀⠀⠀⡇⡏⠀⠀⠀⠀⠁⠉⠒⠒⠠⠀⠀⢡⠠⠀⠀⠀⠀⠀⠀⠋⢴⠀⠀⠀⠀⠀⣀⠤⠒⠉ ⠀⠀⠀⠋⡴⢀⠁⢹⠋⠀⠀⢣⢍⠪⣟⠈⠀⠀⡄⢸⠁⠚⠴⣀⣀⠀⠀⠀⠀⠀⠀⡀⢱⠀⠀⠀⠀⠋⡔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⠀⠏⡴⢀⠔⠠⡀⣄⣿⠀⠀⠀⣆⠷⡠⢹⠀⠇⣼⣷⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠃⠗⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡴⣀⠤⠒⠙⠉⠈⠀⣀⢤⠛⠒⠈⡇⠀⣛⠉⠏⢷⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠶⡤⠊⢼⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣀⣀⣀⣀⣀⣆⢻⡇⠀⡟⢤⣀⣹⡾⠘⠀⠀⠀⠀⠀⠀⠀⠉⡽⢉⠞⣠⠀⣀⠤⠲⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡿⡴⣆⢿⠒⡖⢠⡀⠢⠙⠊⠝⠉⠿⡼⣸⣄⠻⠉⣉⣀⣀⣀⢄⠹⠄⣜⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣆⠹⠀⠀⠀⡀⢀⡉⣶⠘⠇⢀⢻⡿⣴⣀⠋⡛⢀⠀⠀⡇⠀⣿⠀⣄⠘⠀⠀⠀⠀⠀⠀⠀ ⠻⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⠯⠚⠛⠟⣸⢀⠀⡄⡸⠀⡀⢀⠀⡀⣠⢀⠆⡿⣿⣧⣾⡞⠀⠀⢇⠺⠙⠀⠀⠀⠀⠀ ⠃⣀⣄⣶⠷⠿⠛⠑⠉⠉⠉⠋⠛⠿⠾⣶⣴⣠⢊⠫⡖⡤⢸⠀⠀⠁⢸⠀⠀⠀⠉⠛⠛⠀⠀⡆⠻⣠⠇⢠⠀⠀⡎⠀⡀⣦⠻⠈⠀⠀ ⠀⣀⠤⠒⠓⠙⠈⣀⣀⣀⣀⣀⠀⠉⠏⠶⡴⢤⣀⠀⠀⠀⣆⠘⠀⡆⢹⠈⠀⠏⣒⣽⣿⢒⠓⡴⠀⠎⢠⠀⠀⠋⢩⢉⠊⡒⣤⢀⠀⠀ ⠀⠀⠀⠀⠀⡀⣀⣀⣀⣀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠙⠀⣢⣭⠦⢶⡵⣉⢹⠀⡸⠀⡜⢀⠀⠀⠏⣠⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠑⡉⢀⠀⠀⠀⣄⠷⢀⡎⠀⠀⠃⡾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣰⣀⣀⢎⠑⠁⡀⠀⢁⠋⠾⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠏⢠⡋⣴⢤⠤⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠛⠎⢩⠞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⡄⠦⠻⠉⡟⣻⠀⠀⠇⠀⠠⠀⠀⠀⡁⣉⢀⡀⢅⢿⣿⣻⠀⠀⠀⣅⢹⣈⣀⣄⣤⣤⠶⣟⠰⡀⢸⠀⡀⢧⠈⠀⠀⠀⠀⣸⠋⣧⣗⠀⠀⠀⠀⣄⠽⠱⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣧⡿⣿⣿⠀⠀⡀⣁⠞⣡⣈⣒⢴⠥⣟⣿⣾⣴⣠⣀⣀⣀⣀⣀⣀⣃⣀⣧⠤⠳⠛⡉⠀⠀⢿⡄⣿⢾⣧⠘⠀⠀⡏⠇⢸⡇⡼⠀⠀⠀⠀⠀⣇⠸⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⣿⣠⣇⠻⡘⢧⡈⢋⣴⠋⠟⡿⣾⣤⢉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⣦⣷⣿⢿⣻⣯⠻⢈⢭⢹⠉⠞⢻⡏⢹⣼⢻⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠊⠀⠀⠀⠀ ⠀⠁⠞⣤⢀⠀⠀⠀⣧⠒⣀⢉⣄⣳⣤⣠⠀⠀⣆⢇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠴⠦⠛⡒⣶⣤⣤⣠⣀⢀⠀⠀⡇⢸⠀⠀⣄⣳⢇⠘⠀⠀⠀⡇⢰⠂⠠⠀⠀⠀⠀⠀⠀ ⠏⣾⠠⠀⠀⠀⠀⠀⠂⠁⢬⣷⠀⡄⢹⠀⠀⠀⠀⠀⣄⠑⠈⠀⠀⠀⠁⠉⠚⠴⣤⣀⠀⠀⡄⠱⠈⠀⠉⠉⠈⠀⠿⣰⡆⢸⠀⠀⠀⡀⢿⢹⠀⠀⠀⡾⠹⠀⠀⠀⠀⠀⠀⠀⠀ ⣎⢀⠀⠀⠀⠀⠀⠀⠏⡿⢔⣤⠼⠠⣷⠀⠀⠀⠀⠀⠀⠀⠀⠋⠞⠴⣠⢀⠀⠀⠀⠀⠀⢃⠘⠋⣛⣒⢴⠳⠛⡴⣇⠛⠉⣀⠦⠙⠚⠔⣏⣤⢷⠙⡟⢀⡄⠹⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠋⡿⣾⢠⠀⠀⠃⠞⣀⠀⠀⠀⠀⠀⠁⠖⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣾⣶⢒⠖⠶⡤⣀⢀⠀⡀⣄⣷⢿⠘⡀⢳⠀⣰⠀⠀⣄⢱⠀⠀⡄⠳⠀⠀⠀⠀⠀⠀ ⢻⠀⠀⠀⠃⡵⢟⣿⢹⠀⠁⠟⣠⠀⠀⠀⠀⠁⠟⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢼⠀⡀⢸⠀⠀⠀⠀⡀⢧⠈⠀⡀⣶⠿⠙⠈⠀⠀ ⡆⠸⠁⠾⢋⡿⣿⣿⣿⠏⣿⢰⠁⠉⠉⠋⠾⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣉⢈⠉⠘⠀⠐⠀⠀⠉⠀⠀⠀⢻⠼⣯⣿⠀⠀⠀⠀⠀⠀⣄⠛⠉⠈⡀⣤⡻⣬⠤ ⠀⢸⡏⡿⣿⣿⣿⣿⣿⣿⣶⠤⣤⣥⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⢲⠒⠒⠓⠉⠈⠀⡀⢄⠁⡟⣿⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⠀⠀⠀⣄⠳ ⠀⣅⣿⣿⣿⣿⣿⣴⣠⠀⠀⠀⠁⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣤⠤⠦⣷⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⣆⠘⠀⠀⠀⠀ ⠃⡿⣿⣿⣴⣠⠀⠉⠛⠴⢀⠋⣴⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣄⣶⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⣇⠘⠀⠀⠀ ⣿⣾⣠⠀⠁⠞⡵⣼⢀⠉⠞⢠⠋⢸⠀⠀⠀⠁⠋⠒⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⣾⢀⠁⠟⣾⠤⣨⢁⡟⣴⠀⠏⣿⠀⠀⠀⠀⡦⠈⠀⠂⣦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠀⠀⠀ ⢸⠃⣠⢀⠀⣿⠀⠏⢰⠁⡞⣧⣽⠃⡾⠛⠈⠁⠋⠛⠛⠙⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⢸⡆⠘⠀⠀⣄⣠⣟⠃⡼⢀⡇⣛⣿⠿⡿⣿⣾⣠⢀⠀⠀⡀⣤⢦⠛⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⠀⠀ ⢸⠀⢁⠈⠀⠁⣾⢿⣿⣿⠛⣸⣿⢀⣶⣿⣿⢻⠈⠀⠀⠀⠀⠋⠚⠒⡒⣉⣮⢶⠶⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢻⠀⠋ ⣿⠈⡄⠻⠴⠀⣧⣿⣿⣿⣿⣿⣻⠀⠀⡀⣤⣷⣿⠻⠉⠟⣼⣾⣤⣤⣤⣤⣷⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⠒⣶⣿⡿⣸ ⣿⢿⠙⠉⠋⠛⡿⣿⣿⣿⣿⣼⣷⢻⠈⠀⡄⢽⡲⣿⣿⣿⠿⢿⠿⠽⠭⠻⠙⣟⣿⠸⠁⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠯⠻⠚⠓⠙⠋⠛⠓⠈⠉⠀⣄⣱⣿⢸ ⣿⣿⣿⣿⣿⣿⣿⣿⣎⣿⣿⢰⡄⣿⣿⠙⠀⡆⠹⠀⣀⣀⣤⣤⣦⣶⣿⣿⣿⣿⣿⣷⣾⣿⢬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠃⠟⣻⣒⣖⣗⠳⠈⠀⠀⠀⢀⠷⠻⠍⣿⣼⢸ ⣿⣿⣿⣿⣿⣿⣿⣿⢸⡄⣿⢻⠉⣿⣿⣿⠹⠀⣿⠘⠀⠀⡀⠩⠤⠶⠒⠛⠙⡉⣈⣀⢥⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⠛⠻⠉⢧⣿⠸⠀⠀⠀⠀⣷⣿⣿⣿⢿ ⣿⣿⣿⣿⣿⣿⣿⣿⢻⠀⣇⣿⣿⣿⣽⣧⣿⢻⣯⢿⠈⠀⠀⣧⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣴⠀⠀⠀⡀⣦⣿⣿⣿⣿⡟⣿⠙⠋⠛⠟⡾⣵⣯⣟⣿ ⣿⣿⣿⣿⣿⣼⣷⣿⣿⠀⡀⣿⣿⡏⢿⡀⣧⣿⣿⣿⢻⠀⠀⡂⢹⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⢠⠀⠀⠋⠱⡟⣿⣿⣹⣄⣤⣶⣷⣿⣿⣭⣠⣀⣃⣿⣿⣿ ⣷⣿⣿⣿⣿⣿⡄⣷⣿⢸⠀⡄⣿⣿⣿⠀⡀⣷⣿⢾⣗⢿⠛⠉⣿⣄⠦⠒⠉⠉⠁⠞⢀⠀⠀⠀⠀⠀⠀⠀⠏⣾⢀⠁⠟⣿⢟⣿⣿⣿⣼⠀⣀⢤⠠⠁⡟⣠⣀⢀⠏⣿⣾⣯⣿ ⡄⣿⣿⣿⣿⣿⠀⡄⣿⢸⠀⠀⣧⣿⣿⠀⠀⡀⣷⢸⡀⣿⣷⣿⣿⢻⠙⠀⠀⣀⣄⢠⠀⠀⠀⠀⠀⠀⠀⠟⣾⢁⠟⣿⣿⣿⣿⣾⣡⡾⠀⠀⠀⠀⠁⡿⣼⠀⠁⡿⣿⣡⡿⣿⣿ ⠀⣇⣸⣧⣿⣿⠀⠀⣇⢸⠀⠀⡀⣿⣿⢸⠀⠀⡄⣿⠀⣧⠈⣧⣷⣿⣿⢿⠛⠈⠀⠀⠀⠀⠀⠀⠀⠁⡟⣾⠏⣿⣿⣿⣿⣿⣴⢀⡟⢦⠀⠀⠤⠧⡿⣿⢛⡿⣿⣼⢁⡿⣿⣿⣿ ⠹⡀⣷⠀⣧⣿⠀⠀⡇⢸⠁⠀⠻⣇⣿⢸⠀⠀⠀⣧⠈⡀⢸⡏⡇⠀⣄⣦⣿⣻⢿⠿⠻⠀⠀⠀⠃⣴⡟⡿⣿⣿⣻⣿⣴⢀⠀⡏⣼⠀⠉⠋⠟⣿⣿⣵⣿⣾⣠⠃⣿⣿⣿⣴⢋ ⡄⠳⡎⠰⠀⣷⢹⠀⣿⠀⡇⢸⣧⡈⣿⢸⠀⠀⠘⡇⢸⠀⢧⣿⡇⠀⠀⠀⡀⣄⣷⣮⣿⣽⠹⠏⣰⡏⣿⣿⣿⣿⣴⢀⠀⠁⡿⣿⣿⣿⣿⣿⣿⣣⢿⣿⣴⠀⠋⣿⣿⣾⣠⠏⣿ ⠘⡀⢧⠻⠀⡀⣿⠘⣿⠀⡇⢀⠀⢧⣏⢸⠀⠘⣇⠈⢠⠀⡇⣰⡇⠀⠀⠀⠀⠋⠴⢀⡁⣿⣿⢠⠏⣿⣿⣿⣴⢀⠀⠀⠁⡟⣿⣾⣵⣿⣿⣷⣿⣷⣿⣭⠬⠶⣷⣶⣠⠀⠇⣻⣿ ⡄⠰⡀⣦⠸⠀⡆⢹⣿⠈⡇⠀⠸⡀⣿⢸⣧⢀⠀⣿⡌⠀⡇⠘⡇⠀⠀⠃⡿⣼⠀⠏⣿⣿⢠⠇⣿⣾⢠⢀⠀⠀⠀⠁⡿⣿⢡⠟⣿⣴⢁⡾⢈⣦⠻⠄⣦⣷⣉⠀⠂⠁⡿⣿⣿ ⠀⠀⠀⠑⣇⠈⠀⣇⣿⢸⡀⠇⣷⠸⡆⢘⡇⠈⠻⡀⢇⠀⡟⢸⡿⠀⠟⣼⣟⢡⡿⣿⣿⢠⠁⡿⣴⠀⠀⠀⠀⠀⠋⣿⣿⢿⣿⣴⢀⠁⡾⢟⣦⠻⡈⣷⢮⠻⡈⣄⠷⣿⣿⣿⣿ ⠀⠀⠀⡄⢹⢿⠀⡄⣿⢻⠈⡇⡀⣷⠀⢸⡄⢸⣄⢰⠀⠇⣿⢻⣿⡟⣩⠟⢿⣿⣿⣿⣰⠋⣿⢩⠋⠛⠟⠷⣿⣿⣷⣿⣿⣾⣤⣠⣥⣾⠿⢲⠀⡀⣦⡙⣮⣿⣿⠻⠯⡿⣾⣤⠀ ⠀⠀⠀⠀⡆⡔⠠⠀⣿⣄⢳⡄⠀⡄⢺⢠⠀⢹⠀⠀⠀⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣾⣶⣶⣴⣩⢛⡿⣿⣿⣿⣿⣾⣠⠀⠀⠃⡴⡞⢠⠉⠛⠟⡿⣿⣿⣱⡟⣶⢸⣀⠀⠀⠀

⠀⡀⠈⠀⠀⠀⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⢦⡵⣾⡵⡇⠉⠟⢡⡜⢟⢠⡜⢹⡆⡔⢁⠞⠣⡈⠢⡒⢠⡅⠘⠀ ⠀⠀⢾⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⢶⡷⢹⡾⠏⢹⡎⢲⡒⢭⣭⢀⠀⠀⣄⠫⠚⠖⡴⢠⠀ ⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣾⣤⣤⢲⠻⠛⠉⡈⣀⣀⣀⣁⢉⠛⠀⠀⠀⠁ ⠀⠀⡇⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⡀⣀⣄⠤⠤⠦⠒⠒⠛⠾⠴⠠ ⠀⠀⠀⣆⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣸⠀⠀⠀⠀⠀⠀⠁⠉⠈⠀⠀⠀⠀⠀⠀⣀⢤⠦ ⠀⠀⠀⠀⡄⠳⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠃⠈⠀⣿⣿⣿⣿⢸⠙⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⢧⠘⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⣠⠘⠀⠀⠀⠀⠀⢯⣿⣿⣿⣿⣿⣿⣿⠈⠳⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⣠⢤⠒⠙⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⡆⠀⠀⠀⠀⠀⣦⣿⣿⣿⣿⣿⣿⣿⣿⠹⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⣾⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠁⠉⡉⣮⣿⣿⣿⣿⣿⣿⣿⢻⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠈⠁⡟⢓⣿⣜⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠒⠶⠲⣻⠈⠀⡀⣄⣿⣴⣿⣿⣿⣿⣿⣾⠙⠀ ⠀⠁⠞⡫⣼⢃⣳⣷⣼⣻⣸⢸⣾⢯⡄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠰⠀⠀⡇⢠⠀⠀⠀⢠⡖⢦⡱⣈⣄⢷⡟⣿⣛⣿⣿⢹⡇⠀ ⠞⢨⡾⣬⢜⣰⣾⢻⢡⣿⣿⣽⡆⣖⢹⣿⠀⠀⠀⠀⠉⠉⠏⠿⠀⠀⡌⠁⠀⠀⡿⠛⢻⡩⣈⣅⠦⠓⠙⣏⠻⠛⣶⣶⣷⣿⣿⢿⣸⠀ ⡆⡕⣜⡟⢸⡏⣾⡄⡥⣿⣴⣄⢤⡧⣵⣾⠁⠛⠶⣠⣀⣀⣀⠀⠀⠀⢻⢠⠁⠉⣟⣿⣸⠋⣛⣔⠭⠶⣶⣶⣶⠲⠙⠈⠀⡀⣦⣹⢩⣋ ⠀⡴⡜⣄⡽⢀⠀⠋⡴⢀⠀⠀⠁⡹⡟⣴⢀⠀⠀⠀⠋⠴⣤⣤⢤⠦⣳⠉⡏⠙⣄⣶⣠⢀⠀⠀⡀⣀⣀⣀⣄⣤⠶⣗⠙⠉⠌⠦⢤⡤ ⠀⠀⡆⣷⡿⢹⡔⢀⠀⠀⠀⠋⡶⣴⢀⠀⠀⠀⠀⠃⢸⠋⠾⣴⣋⣿⣿⣾⣶⣿⢿⠿⠛⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠤⠠⠀⠀ ⠀⠀⠀⠀⣿⣠⠀⠀⠀⠋⡿⢞⠴⢀⠀⠀⠀⠀⠀⡍⣿⣻⠟⡿⣿⣿⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⡀ ⠐⠀⠁⡟⢠⠀⠁⠟⡷⣴⣀⠀⠇⢪⠒⢴⠤⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣍⠋⠒⠒⠒⠒⠦⠢⠐⠀⠄⠀ ⠀⠏⣾⢠⠀⠟⣾⣄⢀⠀⠀⠏⣻⠀⠁⠟⡿⣹⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣿⢰⠀⠃⣠⠀⠀⠀⠀⠀⣷⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⠈⣿⣀⣇⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⠸⣯⣿⣿⣿⣿⣿⠚⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⣿⠈⠀⠀⠀⠀⠁⠛⠿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣹⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣨⣄⣷⣿⣟⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡆⣿⣿⠛⠉⠛⠿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠛⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⠀⣇⢸⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣋⢟⣿⣽⠉⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡁⢸⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠏⣿⣾⣤⣟⣿⣿⣿⣴⣿⣿⣿⣿⣾⢀⡏⣴⣿⣿⣾⣽⣛⢟⣿⣶⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⠉⡼⢇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣾⢀⠀⣿⣿⣿⢠⡟⣿⣿⣿⣴⠀⠔⢷⠃⣿⣿⣿⣴⣤⣢⠋⡽⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣠⠀⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢸⠀⠀⣇⣿⣻⡟⣼⣿⣿⣸⠀⠀⠀⡀⢦⣔⡤⣠⠀⠤⣷⣿⣶⣴⣏⣾⣿⣿⣿⣿⣿⣿⣿⣸⡄⠹⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⣿⠻⠉⡏⣿⣿⣿⢿⣏⣿⢸⠀⠀⣄⠠⠀⠉⠀⠀⠀⠀⠀⠀⠛⡿⣿⣾⣯⣽⣿⣿⣿⣿⣿⢸⠀⡇⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣄⣶⣷⣿⣿⣿⣿⣿⣿⣼⢧⠀⠀⠀⠀⠀⠀⠀⠃⡿⢰⠀⠇⣿⣿⢛⡟⣿⣿⣿⢻⣿⣾⣿⢒⠒⡿⡸⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⠉⠉⡟⣿⣿⣿⣿⣿⣻⣄⡷⠘⠀⣀⢦⠙⢀⠒⠔⣠⠀⠀⡳⣬⣠⣁⣟⡿⣿⣿⣿⣷⢟⣴⠂⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⡄⠲⡈⢄⠹⠀⠀⠀⠀⠀⣀⣍⣟⣿⣿⣴⣀⢀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣴⣀⠀⣉⣿⣿⣿⣿⢿⠿⠿⠻⠛⠙⠉⠉⠉⠛⠿⣿⣾⣿⣾⣀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣶⣠⠁⠋⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣵⣿⣿⣶⣤⣁⢚⡴⢀⠀⠃⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⠀⠁⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣶⣶⣶⣶⠴⠤⣠⣀⠀⠀⠀⠃⣿⢩⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠏⣷⣿⣿⣿⣿⣾⣴⣠⣀⠀⠁⡿⣴⢀⠀⠀⠀⠀⠁⠀⠀⠁⠚⠴⡥⣉⣉⣛⣐⣏⢻⠀⠋⠛⠚⠒⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⣸⡇⣿⣿⣿⣿⠀⠀⠀⣷⠈⡏⢹⠀⠀⠈⠀⠀⠀⠀⠀⠂⣸⠏⣿⣹⠚⡴⢋⡴⢀⡟⣾⢁⡰⠋⠿⡅⠾⡤⢦⠹⠀⠀⢸⠃⠀⠀⠀ ⡄⢹⡄⣿⣿⣾⣿⠻⠉⠋⣿⢰⡀⣄⢦⣤⢀⠀⠀⠀⠀⠀⠀⢹⡄⣶⣠⠋⡴⢃⠸⠏⣴⠏⣠⠟⢿⣠⡜⢃⡼⢷⡇⠈⠁⢸⡀⠈⠀⠀ ⠀⣄⠠⡄⣷⢿⡈⣄⣤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠳⠚⡠⠁⠟⣼⠆⣠⠞⢁⡾⢯⢠⠎⢃⣰⠀⡼⡇⢾⣠⠀⠀⢸⠀⠀

⠤⠤⠤⠤⠤⠤⠤⡦⢸⠀⠀⠀⠀⠀⡀⣻⠀⠀⠀⠀⠀⠁⠉⠀⠀⠀⣋⣼⢀⠀⠀⠀⠀⠋⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⣇⠈⠦⠑⠀⡀⢢⠘⣀⠀⣽⣾⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⡞⠲⡗⠹⠀⠀⠀⠀⠀⠀⢹⠀⡄⠿⠀⠀⢀⠀⣀⣇⢀⠀⠀⠀⠀⠀⡏⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⢠⠀⠀⡀⢳⠈⠀⠀⠀⠀⣧⠘⠈⣆⠈⠁⠊⠀⠀⡿⠀⠀⠀⠀⠀⠏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⢤⠳⠀⠀⠀⣇⠙⠉⠈⠀⡧⣷⢸⠀⢀⢀⠀⠀⡏⣸⠀⠀⠀⠃⡿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⠤⠀⠀⡆⠀⠀⠇⣴⣀⠀⠀⠀⡇⡇⢸⠀⠀⠀⠀⠟⣰⢀⠀⠀⠀⠏⢫⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣰⠀⠀⠀⠀⠀⡿⡌⢸⠀⠀⠁⡜⢀⠀⠀⠀⠀⠇⢿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⡞⢠⠀⠀⠀⠀⠀⠁⣿⣀⣇⠉⠞⣠⠀⠀⠀⠀⠀⠀⡇⣇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⡰⠀⠀⠀⠀⠀⠀⠀⡇⣇⠁⠞⣠⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⢠⠀⠀⠀⠀⠀⠀⠀⠀⣾⠋⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠇⢯⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⣇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⢸⠀⠀⠀⠀⠀⠀⠃⠉⠟⣻⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣧⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢠⠀⠀⠀⠀⠀⠀⣽⣱⣳⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣰⡇⠘⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠸⠀⠀⠀⠀⠀⠃⣾⣷⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣴⠀⠀⢳⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⡇⢹⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣶⠬⠶⠑⡌⠸⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢦⠙⠀⠀⠀⡀⣯⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⣀⣧⠈⠀⡀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⢯⠖⡤⣠⣀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⢀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠋⡰⢀⠀⠀⠀⠁⡚⢤⠳⠙⠉⠉⠉⠋⠚⠶⣲⠙⠈⠀⠀⠀⠀⠀⠀⣇⠈⠀⠀⣇⢼⠧⠸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠏⢸⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠻⠈⠀⠀⠀⡄⢹⠀⠀⠀⢧⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣄⠲⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢿⠈⠁⠀⠀⣧⠀⠀⠀⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⢤⠢⠒⠙⠈⠀⠀⠀⠀⠀⣆⡟⡞⠀⠀⡇⠀⠀⠀⠀⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⠲⠈⠀⠀⠀⡀⣦⠻⠈⡀⠀⠀⠀⠀⠀⢻⠞⠻⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠢⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠳⠀⠀⠀⠀⠀⣀⠦⠺⠓⠉⠉⠋⢠⠀⣇⠀⠋⠟⠘⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢥⠿⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠉⠀⠀⠀⠀⠊⠴⣧⠀⡀⣇⢉⠀⠀⡤⣀⠀⡄⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠋⣴⣀⠀⠀⠀⠀⠀⣀⣄⢤⠲⠙⠀⠀⠀⠀⠀⣾⠀⠀⠃⡵⠉⠋⣴⠀⠀⠀⡀⣀⢤⠳⠈⠀⠀⢺⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢇⠘⠀⠀⡇⢠⠀⠃⣸⠃⣸⣇⠴⣧⢰⠁⠋⠉⠞⠶⣷⠸⠃⢰⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⢸⠀⠀⠀⠀⠀⠋⠴⣠⠀⠀⠀⠀⡏⢰⠀⠀⡟⠀⠀⠀⢹⡀⠘⠀⠀⡾⡤⣤⣤⢤⢣⠀⠀⢇⣘⣧⢿⠰ ⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⣿⢈⠀⠀⠀⠁⠉⡶⢀⠀⠀⡏⢰⠀⠀⠁⡟⠉⢾⠑⠊⢿⠽⣩⠿⠋⠴⠦⠓⡏⢽⡼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠘⠀⠀⡀⣀⣀⣀⣀⣀⢀⠀⠀⠁⡞⢠⠀⠀⠀⡆⣾⣿⢀⠀⣀⢤⡢⣓⣼⢀⠀⠀⠑⣋⣴⣄⠧⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠲⠑⠉⠉⠉⠉⠉⠉⠒⠴⣀⠀⠀⠀⠀⠀⠀⠀⡄⠦⠑⠉⠀⠀⠀⣧⢺⡑⣯⣷⠳⠈⠀⡇⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢦⠓⠈⠀⢸⠀⣀⢦⢸⢧⠘⡏⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠓⢸⠀⠀⠀⠀⠀⣶⢤⠀

⢀⠀⠁⠒⠤⠢⠘⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⠀⠀⡀⠉⡸⠀⠀⡀⢸⠀⠀⠀⠀⠣⠈⠀⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠊⡴⠤⠦⠓⡌⠘⠀⠀⠁⠖⠤⣀⣀⡀⣋⢴⡠⣀⣀⣀⣀⣄⠢⠙⡇⠀⠀⠀⠀⠇⢀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡆⠉⠀⠀⠀⠀⣄⢷⠈⠞⢀⠀⠀⠀⠋⡰⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⢹⠛⠒⠒⡞⠀⠃⠙⡉⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⢄⠙⠀⠀⠋⡷⣴⢦⠈⠀⠀⠇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣆⢻⠉⠒⢸⠀⠀⣄⡳⢿⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠿⡩⠖⣠⢦⠙⣾⠁⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢸⠀⠀⣱⠀⠀⢣⠀⠀⠀⠀⣿⣝⣽⠻⠉⠀⡇⠻⠀⠀⠀ ⠀⠀⠀⠀⢳⢆⠈⠀⠀⣦⢦⡷⢿⡟⣿⠲⠔⠤⠠⠔⣀⢢⠉⠞⠙⢻⠉⠉⡄⢾⠙⡇⢿⡶⢰⠁⠸⡄⢷⡛⣦⢿⠉⣿⢻⠀⠀ ⠀⠀⠀⠀⡄⠸⣄⠑⠀⠀⠀⠀⠀⣀⣄⢦⠑⠈⠀⠀⠀⠀⠀⠀⣇⣸⣀⣀⣆⠿⡘⡷⣾⠀⠀⡀⢸⠀⡀⢣⢷⣿⣿⢸⣆⢹⠀ ⠀⠀⠀⠀⠀⡆⠀⡀⢦⠈⠀⠀⠀⠀⠀⠀⠀⣄⠻⠘⠀⠀⠀⠀⡇⠁⠛⠙⠀⡀⣇⡟⢀⠀⠀⠀⣾⠙⠀⡀⣷⣿⣿⢻⠈⣧⠸ ⠀⠀⠀⠀⠀⠀⢱⠀⠀⡀⠣⠈⠀⠀⠀⠀⠀⠁⡞⣿⠘⠀⠀⠀⠸⡆⣷⣾⢠⠀⡄⣿⠀⠀⠀⠀⣼⡀⢦⠒⣤⣿⣆⢿⢢⡆⢻ ⠀⠀⠀⠀⠀⠀⡄⠘⠀⠀⠀⢄⠙⠀⠀⠀⠋⡠⠞⣀⢱⠀⠀⡏⠉⠀⠀⠀⠀⠀⡇⣿⠀⠀⠁⠀⢸⠂⠀⠀⡀⣷⠘⢣⠘⠀⣷ ⠀⠀⠀⠀⠀⠀⠀⢧⠈⠀⠀⠀⡀⠻⠚⡤⢊⡤⠀⠀⠀⠀⠎⢀⡀⢤⠤⠑⠀⠀⡀⣄⠀⠀⡀⢳⢺⠑⠈⠀⠀⡄⢹⡆⢁⢸⡏ ⠀⠀⠀⠀⠀⠀⠀⡀⣻⢉⠭⠭⡩⡖⣶⣈⠀⠀⠀⠀⠀⠎⣧⣈⣀⠂⠭⣉⣄⠢⠙⠀⠀⠀⠀⠀⢸⠀⡀⠢⠈⠀⣿⠀⡏⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⠱⠈⠀⠉⠀⠋⡴⠤⠓⠛⠟⡠⠏⣾⣤⡠⣀⣀⣀⢁⠬⡦⢿⠙⠀⠁⠏⢠⠀⠀⠀⣄⠹⣿⡇⠈⠃⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣠⣀⡄⠘⠀⡀⣿⢀⣎⣽⠀⠀⠉⠛⠀⠀⠉⣈⠠⠁⣾⣷⣤⣤⢶⠙⠀⠀⠀⡄⣿⡜⢫⣼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⠀⣧⠋⢁⡾⣠⢀⣏⢾⡤⢀⠀⠛⣜⢹⠀⠀⠀⠀⠉⡉⢻⠀⠀⠀⣿⢠⡿⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠑⡄⣿⣿⢾⠤⠤⣮⠀⡆⢬⠤⣦⢶⣷⠶⠸⠀⠀⡀⣦⣿⠀⠀⠁⢰⠛⢰⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⣿⣿⠳⠋⡴⢀⠀⠀⢦⠉⠀⠁⣰⠀⠀⠀⠇⠒⠓⣏⠸⠀⡏⠞⢠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⢀⡏⠈⠀⠀⠀⠀⠀⠀⣀⣀⢀⠀⠀⠃⣳⣄⠢⠙⠀⠀⠄⣠⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢀⠀⢸⢆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠁⠜⢠⡀⠸⠀⡀⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠁⢻⡴⣄⢦⠛⠙⠉⠉⠉⠉⠛⠀⢣⠀⠁⢠⠀⠀⡀⠸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⡟⣡⠊⠔⣠⠀⠀⠉⠉⠀⠀⠀⢆⠑⢦⡿⠈⠀⠀⠇⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠻⣾⣠⠀⠀⠁⠗⣀⠀⠀⣄⠳⠀⠀⠀⢄⣗⢹⠁⠟⡰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠙⠀⠁⠋⡟⠀⠀⠀⠀⠀⣀⣤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢒⠁⠀⠀⠀⢆⠸⠀⠀⡀⢄⠓⠒⠒⠁⠀⠀⠀⠀⠀⠀ ⠃⠀⠀⠀⠀⠂⠡⠤⡤⠙⠀⠀⠀⢠⠀⠀⠀⠀⡀⠡⠄⠐⡀⠣⠃⠑⠀⠀ ⡇⣀⠄⠠⠀⣀⣀⣀⠠⡀⠑⠀⠀⡄⠈⠀⠀⠀⠀⡀⠸⠀⠀⠀⢇⠸⢆⠀ ⠃⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠞⠲⢿⠘⠈⠀⠀⠃⢠⠀⠀⠀⠀⢸⠀⢸ ⡇⢰⠢⠀⠀⠀⠀⠀⠀⠀⡰⣰⢀⠀⡄⠥⢑⢁⠚⢺⠀⠀⠌⠀⠀⢰⠀⠘ ⡀⠑⠀⢀⠀⠀⠀⠀⠁⠔⣃⠈⢀⠀⠀⠃⢧⣹⣄⢸⠀⡠⠀⠀⠀⠀⠁⢠ ⠀⡀⠮⠐⠈⠀⠀⠁⢂⠤⣦⢻⠈⠀⠈⡅⡸⣧⢧⡘⠱⠀⠀⠀⠀⠁⠠⠀ ⠀⡏⠠⣀⣀⠄⠑⡀⠵⢼⡆⠈⠀⣣⠀⠀⢇⠀⣿⣠⡜⠀⠀⠀⠂⠠⠀⠀ ⠀⢀⠀⠀⠀⠀⠀⢆⠈⠀⠀⡒⠢⠘⠒⠈⠀⠃⣤⡠⠀⠀⠀⠔⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠈⠈⠊⢵⡤⢢⡗⢩⠜⠴⠘⡠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠴⠀⠁⢼⣧⣧⠰⠲⠄⠀⠁⢏⢸⠀⡇⠀⠀⣴⠠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣶⣧⢀⣟⠿⠺⠠⡗⣬⣿⢰⠀⡆⠚⠁⠥⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠇⡀⢤⠖⢊⠐⠉⡌⢇⣰⠀⠄⣋⢠⡀⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠈⠕⣌⢤⡱⠈⡀⠉⠛⡩⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡄⣠⡄⣤⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠈⣀⣀⢀⠉⠛⠟⡿⣶⢶⡤⣠⢀⠀⡀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠇⠘⠁⠈⠚⠒⠒⠓⠟⣿⣿⣿⣿⣻⣉⣉⣀⣥⠍⠉⠛⠚⠁⠈⠀⢆ ⠀⠋⠟⣾⣴⣠⢀⠀⠀⠀⠀⠀⠀⠁⠉⠋⠙⠛⠚⠶⠵⠭⠠⠀⠀⢻⡛⢶⠶⠴⣤⣤⣤⣤⣤⢠⣄⢦⣷⣿⣿⣏⣿⣼⣤⣤⣿⣶⣍⠀ ⡾⣴⣆⠸⠀⠀⠋⠟⠿⣾⣿⣿⣾⣧⣽⣉⣉⠛⠛⣶⣟⠟⠿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⣀⣦⣿⣠⠀⠀⠇⣼⣶⠷⠙ ⠀⠀⠀⢿⠚⣴⣠⣉⠛⠟⣾⣦⢀⠁⣾⣴⣤⣧⠀⠀⡏⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠁⡉⢦⠘⠀⡿⠀⠀⠀⣿ ⠀⠀⠁⣿⠟⠿⣿⣶⣤⣠⠀⠀⡇⣠⠀⠀⠀⡇⠀⠀⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⡇⣿⢻⢠⠀⣶⢿⠙⠙⣟ ⠋⡵⣿⣴⣧⣼⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡏⠀⠀⣯⣿⣿⣿⣧⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡋⣾⣠⠁⠉⠈⣤⣦⣴⣀ ⢟⣺⢀⠋⣿⠀⠀⡟⢿⠈⠀⠁⢰⠀⠀⠀⠀⢸⠀⠏⣇⣿⣿⡽⠳⣿⠈⠀⠀⠀⠀⠁⠋⠛⠾⠤⠤⣿⣷⢀⠀⠀⠟⣶⣦⣿⠀⠀⠀⠏ ⣦⠻⡼⣠⣀⠀⠀⡀⣀⠉⠀⡜⠀⠀⠀⠀⠎⢀⠀⢸⡆⣿⣿⣿⠀⣧⢿⠀⠀⠀⠀⣀⣤⣤⠳⠒⠖⢠⡄⢻⠀⠇⣿⠀⠁⣟⢸⠀⠇⣴ ⠀⠀⠀⠀⠁⠛⠿⠴⠴⣦⣾⢀⠀⠀⠋⡴⢀⠀⠏⢸⠀⣧⣿⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⡀⢤⠙⠀⠀⡄⠳⡎⣻⠀⡏⣿⢀⠀⣇⠘ ⡾⠷⠈⠀⡿⣤⣧⠘⠀⡔⢋⠴⡧⣀⢀⠀⠀⠀⣹⢣⠀⠀⣷⣿⠈⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠑⠀⠀⣄⣷⣿⣴⢀⠀⠀⡆⢹ ⠀⡀⢹⠀⣧⠉⠋⢸⠁⡞⢶⠧⡿⠲⠓⠉⠉⠀⡀⣀⢲⠙⡛⣿⢷⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠈⡆⣿⢻⠀⠁⠉⠀⠀⣧ ⠀⠟⢸⠀⡀⣶⣠⠀⠀⠀⠁⡴⠀⠀⠀⠀⡀⣄⠦⠙⠀⠀⣆⣿⡶⣦⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠿⣿⣾⠀⠀⡇ ⡇⣠⠀⠂⠟⠻⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠈⠀⠛⠙⠇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣋⣿⢸⠀⠀⣿ ⣼⠀⠏⠿⠛⢈⠀⠀⠀⠇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠈⣷⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⡅⣾⣠⢀⠀⠁⣟ ⠀⠛⣸⣆⣶⣿⠿⠓⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⣽⣷⣄⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠃⠛⡟⠀⠁⠋⠟⣿⣠ ⠀⡄⣷⠻⡛⣾⣤⠀⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠈⡄⣷⢹⡀⢦⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢠⡇⣾⣀⠿⣿⣿⣿⣨⠀ ⠀⠀⡓⣕⣤⢀⠁⠛⠿⢾⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠈⡀⣦⠚⠘⣄⣷⠀⠀⠀⠀⠀⠀⠁⠞⢁⠟⣿⢹⠉⣾⣤⣖⣠⠀⠀ ⠀⠀⠀⣆⢷⠿⡈⣦⣭⢀⠀⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠴⢥⡿⠀⠀⠀⠈⡇⢦⠙⠉⠉⠉⠛⡚⡷⣿⣿⣾⣴⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣄⣵⠲⣿⣿⠿⠻⡈⢦⠑⠀⠀⠀⠀⠀⠀⣀⣄⠿⣠⣀⣀⣄⠶⠲⡟⠀⣧⢐⣀⡿⣿⢻⡟⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡾⣿⣿⣿⢸⠀⠁⣈⠤⠓⠛⠘⠀⠋⡟⢴⠀⠀⠀⠀⠀⠀⡀⢷⡆⠀⠟⣿⣿⣿⣟⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⢸⠃⡈⢏⡹⣀⣤⢿⡾⣷⣿⠻⠋⠛⣸⡿⢠⠀⠀⠀⠀⠀⠀⡇⢸⠇⣿⣿⣿⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⢟⣿⢻⣶⣷⠘⠀⣿⢻⠉⡈⣦⡷⣝⢿⢠⠀⠀⠀⠀⠀⠀⠀⡆⢽⡏⣿⣿⣷⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⣼⣤⢃⡟⣿⢠⡇⣾⡙⣝⣿⣿⠿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣨⣟⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⡉⣬⢠⠀⡇⢛⡻⠀⣀⠁⣤⣴⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⡳⢿⣾⣿⣿⢽⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠆⣿⣧⣿⢻⠟⢻⠈⢆⣿⠻⡿⣿⠿⡿⣶⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⢹⡄⣷⣿⢾⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠓⠚⠓⠛⠛⠘⠀⠃⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⡀⣀⣄⠷⠛⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⢸⠀⠀⠀⡇⣐⣧⣧⠿⠛⠉⠈⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⡏⢁⢸⠁⣶⣿⣾⣤⣿⠿⠿⠒⠻⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⣸⡇⠀⡟⠂⣿⠈⠀⠀⣀⠀⠀⡇⢸⡀⣇⢬⠶⠓⠉⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⡞⠀⠀⠀⢿⢰⠀⣼⣿⣾⢿⠼⢀⠀⠏⠋⡴⠀⠀⡏⣾⣴⣤⣀⡏⣠⠤⠤⠒⠒⠒⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡵⣴⢀⠀⠀⠀⠀⣯⠀⡇⢿⣿⢻⡿⣿⠠⠀⣇⣸⢀⠀⠇⣠⠀⠀⠀⠞⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠒⠒⠊⠃⠛⠘⠀⠀⠀⣷⢉⠀⠀⠁⠋⠒⡖⣹⠉⡿⣿⣿⣧⣼⠀⠀⠿⠟⢸⠀⠸⣼⠀⠀⠀⡟⢈⠀⠀⠀⠀⠀⠀⠀⠀ ⠶⠶⠆⠦⠘⡤⢤⠱⠀⠀⡄⠘⣀⣠⣀⠀⠀⠀⠀⡀⣤⣤⣿⡿⢸⠀⡏⢠⡏⡟⡟⠿⢻⠓⠚⡴⢀⢸⠀⠀⠀⠀⠁⠀⠀⠀ ⣄⢩⣭⣡⣉⣧⣽⣤⠀⠀⠀⢇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⠀⢁⠟⣿⣴⣤⣠⣀⠀⠦⠑⡔⠀⠀⠠⠀⠀⣤⢠⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠃⡟⣷⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣾⣠⠀⠀⠀⠀⠀⠀⠋⡴⠀⠁⠈⠉⠒⠐⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠃⡸⣦⣶⡀⣦⣸⣄⠳⠙⠀⠀⠀⠀⠀⠀⠀⡇⣸⠀⠀⠀⠀⠀⠀⠉⡔⢀⠀⠆⣶⣰⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠻⠈⠀⠀⠀⣄⠶⠓⣏⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⡧⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠾⣿⣼⣷⠺⠀⠀⠀⠀⠀⡀⣇⡼⣃⣿⣼⠀⠀⠀⡆⠿⠀⣫⣼⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢇⡈⣤⠤⠀⠀⠀⠀⠀⠒⠛⠛⣻⣿⢀⠀⠀⠀⠀⠇⣼⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣤⢳⠈⠀⠀⠀⠀⠀⡄⢤⡲⣿⡙⣄⠿⠓⠛⠙⠋⡴⢦⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠉⠏⡽⣿⠳⠈⠀⡀⣤⠳⠈⠀⡀⢦⠑⠈⠀⠀⣄⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠓⠈⠀⣄⠳⠈⠀⠀⣆⣈⣀⣀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠢⠑⣉⠠⠀⠀⢏⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠄⣦⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢄⠷⠙⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣈⠐⣋⡿⢶⡴⣥⣤⢯⣴⣠⢀⠀⠛⠔⠤⠤⠲⡙⣀⣤⡷⢽⠤⠤⠤⠦⡖⣿⣿⣿⣿⣿⣿⠙⠀⠀⣇⢸⣿⢹⠀⠀⠀⠀⠀⠀⠀ ⠙⠀⠀⠀⠀⠀⣄⢷⠙⠈⢠⡇⣿⣿⣿⣿⣿⢛⡾⣠⠀⠀⠏⣾⣠⢀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣯⢾⠀⠀⡀⣧⠻⠈⠀⠁⣏⣿⣿⣿⣿⣿⣿⠻⠀⡀⣿⡇⣿⠈⠀⠀⠀⠀⠀⠉ ⣿⢿⠙⠀⠀⠀⠀⠀⡀⢷⠻⡏⣿⣿⣿⣿⣿⣠⠀⠀⠀⡟⣼⢀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⣀⢀⠀⠀⠀⠀⠀⣄⣿⠿⣠⢀⣄⣿⣿⣿⣿⣿⣿⢻⠀⣧⣸⣿⢸⢸⠈⠀⠋⡿⣿ ⣿⣿⣿⢿⠙⠈⠀⠀⠀⠀⡀⣽⣟⣿⣿⣿⢠⠀⠀⠃⡿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⢻⠀⠀⡄⣷⣿⣿⣿⣿⣿⠹⡈⣿⡟⢿⣷⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢿⠛⠉⠀⡏⣴⣟⣿⣿⢰⠀⠀⠃⣷⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⢻⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣼⠀⣋⣼⣠⠏⣿⣿⣼⠀⠀⠏⣱⣼⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢻⠀⠀⠀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢶⣤⢁⠋⡿⣿⣿⣿⢾⠤⣧⣿⡷⣿⣰⠀⠋⠐⠙⠉⠈⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠁⠉⠉⠚⡙⣷⠿⣝⠻⠈⠀⠀⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣴⣠⢁⠋⠿⣿⣿⣿⣿⣿⣿⣿⠉⣿⣳⣿⣿⠝⠭⢋⡽⣿⣧⣿⠿⡿⠀⠀⠀⠟⢿⠙⠀⠀⠧⠿⣽⣿⣭⢆⡙⠏⣿⣿⣿⣿⠙⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢹⠀⠀⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣶⣤⣤⣭⣪⣓⢸⠁⠸⠀⡟⣸⣿⣿⠻⠀⠀⣷⡚⣙⣍⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣆⣿⣿ ⣾⣴⣆⠘⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠋⠀⠁⠟⣸⠃⣿⢀⡏⣻⠂⡟⣿⣿⢳⠈⡇⢿⢯⠛⠙⠀⠀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⡀⣦ ⠀⠀⠀⣇⠸⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⢃⣿⣾⢥⣿⣿⠛⣿⣿⡏⣿⣿⣿⣿⢿⡷⣿⣿⣿⣿⢹⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⠣⠉⠀⠀ ⠀⠀⠀⠀⣆⠘⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡿⣷⢸⡟⣇⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣻⣿⣿⡿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠀⣄⢦⠛ ⠀⠁⠋⠖⡠⣄⠹⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⡀⣦⠻⠈⡀ ⣷⢙⠀⠉⠋⠿⣿⠹⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠙⠈⠀⣄⢿ ⠀⣀⣄⣷⢻⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣹⣆⣿⣿⣿⣿⣿⠀⣿⣿⢹⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠶⣿⣶ ⠀⠀⠀⠀⡇⣮⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢻⣦⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣯⢰⣤⣐⠀ ⠀⠀⠀⠀⡀⢸⠀⣅⣿⣻⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣫⣽⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢷⠀⡇⡀⣷⢻⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠏⣼⢀⠀⠀⠀⠀⠀⠏ ⠀⠀⠀⠀⠀⡇⠁⡏⠛⠒⣿⣁⣸⡇⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣶⢠⠇⣴⠀⠀⠀⠀⠀⠀⠀⡄ ⠀⠀⠀⠀⠀⡾⠀⡇⢠⠁⣿⡇⢠⡇⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣄⢹⠉⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡏⢠⠀⡟⠀⠃⣷⡇⠘⡇⠈⠀⣄⣿⣬⣾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣿⢀⡏⠀⣿⢀⠀⡆⢹⠀⠀⠀⠀⠀⠀⠀⠂ ⠀⠀⠀⠇⢰⠀⠃⢰⠀⣼⡄⠹⢦⠙⢄⠓⠈⡀⢦⠟⠻⣎⣴⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣡⡾⢀⠏⢰⠃⣸⠀⠀⠀⣧⠸⠀⠀⠀⠀⠀⠀⡃ ⠀⠀⠀⣸⠀⠀⡞⠀⡇⢀⠀⣄⢦⡙⢦⠓⣈⢦⠓⡉⣤⣷⠙⠀⠠⡀⣄⣤⣶⣶⣷⣿⣿⣶⣶⣶⣶⣶⣤⣦⣿⣿⣿⣾⣫⠾⣡⠋⡴⢁⠟⣰⢻⠀⠀⠀⠀⣧⠘⠀⠀⠀⠀⠀⡅ ⠀⠀⠇⠀⠀⠇⢸⠀⣼⠀⠃⠀⠁⡜⣄⠢⣙⢄⠲⡉⣀⠤⣢⣷⠮⠻⠛⠉⠀⠀⠀⣆⢀⠀⠀⠀⠉⠉⠛⠿⠽⣻⢔⣧⣋⠖⣠⢋⠾⣠⠀⠀⡇⠸⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠄ ⠀⠀⠀⠀⠀⡎⠀⠇⢸⠀⡇⠏⣰⠀⠀⠀⡀⢄⠲⡙⣌⠤⠒⠑⠉⠉⣉⣉⣀⣀⣀⣠⣀⣀⣀⣀⣀⣀⣉⣉⠉⠒⠖⡠⢻⠞⣤⢳⠈⠀⠀⠀⠀⢸⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⡇⢸⠀⡇⣸⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⠤⠒⠒⠒⠒⠒⡑⣉⣈⣀⣀⣉⣉⣉⣉⣉⢉⠉⠉⠋⠛⡾⣶⢳⠈⠀⣄⠳⠀⠀⠀⢸⠀⠀⠏⠰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⠀⡆⢸⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⢧⠈⠀⡀⢷⠀⠁⢸⡀⡖⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⢰⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠈⠀⡀⢸⡟⣆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⣶⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡛⣾⣷⣤⡛⠾⣿⠟⠀⠼⣿⣛⣮⣼⠧⠿⣟⣿⣭⣿⣿⣏⠉⠉⠁⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣾⣷⣿⣷⣦⣄⠀⠀⠀⠙⠣⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠛⠝⢳⣿⠁⢹⠳⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠛⢛⣛⣿⣓⡢⣄⡀⡠⣔⣤⣶⣿⣿⣿⣿⣿⣿⣿⣏⠟⣿⠻⣥⠻⡟⣷⣿⣶⣿⣿⣿⣟⣿⣿⣶⣤⡭⠭⣭⣭⡶⠿⢻⡻⣿⡽⣋⣵⣷⡻⣦⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢿⣷⣦⡀⠀⠀⠀⠑⠢⢄⣀⡀⠀⠀⠀⣀⡀⠸⢮⠏⢶⣀⠀⠹⡤⠃⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠝⠢⣄⠀⡠⢍⣙⠇⠈⢝⡿⣯⡻⣿⡙⠿⣛⢿⣙⡛⣿⣿⠁⢣⡐⠩⣿⣷⣿⣿⣿⣿⣟⣿⣷⣿⣣⣽⣷⣬⣽⡿⣞⣻⡵⣾⢛⣷⡻⢞⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⣄⠀⠀⠀⠀⠀⠈⠙⠻⢄⣀⠀⢀⠀⠘⣷⣄⠀⠀⠀⢹⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⠯⠟⠛⠛⢻⢈⣰⡇⠀⠀⠀⠈⠑⢋⣙⣛⠛⠉⠩⠙⠓⢻⡷⣮⣄⣠⣁⠸⣿⣿⣿⣿⣿⣯⣿⣿⣿⣩⣽⣭⣭⣻⡯⣝⣣⠽⣬⠷⣎⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⣛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⠀⢀⣼⡿⣗⣄⠀⠊⠠⣠⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣟⣿⣦⣀⡀⢠⣒⣲⠞⠁⠀⠀⠀⠀⠀⢞⣄⠀⠀⠀⠀⠀⣴⠗⢉⡤⠖⣣⠽⠛⢋⡟⠛⠛⠛⠻⣿⡿⣿⣼⣟⣿⣻⣼⡿⣼⣽⣻⣵⡻⣵⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⡩⠷⢴⠖⠯⣄⠀⠈⠛⣷⣯⢟⣯⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⡎⠋⠀⠙⣿⡷⢀⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠁⠈ ⠀⠀⠀⠀⢀⣀⣤⣤⣔⣿⣿⣿⣿⣿⣿⠛⠊⠉⢹⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠘⣏⠉⠙⢒⣾⠁⡰⠁⢀⠞⠁⡠⠊⡩⣠⣶⠄⠀⣸⣧⡏⠙⠃⠤⡼⢋⣻⣽⣷⣻⣼⣶⣻⣽⣿⣿⡿⠛⠉⠀⠀⢀⡠⠞⢲⢴⣇⠀⠀⠀⠙⢦⣠⢼⣧⢏⣿⣷⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠐⡄⠹⣧⡾⠟⢡⣇⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠏⠀⠀⠀ ⠀⠀⣤⣾⢿⣿⣻⢿⣿⣿⣿⣟⣾⡱⢺⣗⠦⢄⡎⠉⣙⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⣎⡇⠀⡇⠀⡘⠀⢰⠁⠀⢻⣷⣿⡿⢠⠏⣸⡇⠀⠀⡜⠁⣶⠛⠫⢿⣏⡉⣿⢿⣿⣷⠏⠀⠀⠀⠀⠀⢸⣏⣠⡎⠀⠈⠻⣢⡤⠤⠤⢗⠀⢻⣎⡼⣿⣞⢿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠱⢰⠏⠁⠀⣠⡟⠀⠀⠀⠀⠀⢀⣼⣟⣽⢻⡄⠀⠀⠀ ⡞⢿⡹⢞⣛⣾⡽⠿⢾⣷⣻⣿⡜⣷⣃⡼⢏⡁⠈⣦⣈⣦⠄⠀⠀⠀⠀⠀⢀⡼⠞⠀⠀⣿⠁⠀⡱⠀⠡⠀⢲⠀⠀⠈⠉⢁⠔⢋⣰⠋⠀⠀⡰⠃⣴⠃⣠⠖⢉⣭⣿⣿⣻⣿⣿⣅⠀⠀⠀⠀⢶⡭⢱⠛⠈⠲⢄⣀⡠⢵⡄⠀⠈⢟⣲⣷⣮⣽⡿⢮⣿⣿⣽⣿⣿⣷⣻⢦⡀⠀⢀⡤⠖⠒⡚⡄⠀⢀⠎⠀⣲⣴⠏⠀⠀⠀⠀⣠⠾⣋⡖⡿⢱⢋⠇⠀⠀⠀ ⠚⠓⠉⠉⠀⠀⠀⠀⠀⠀⠉⠛⠿⣼⡿⢤⣴⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⢿⡿⣷⣖⡦⣽⡀⢀⠁⠂⠀⠀⣨⠓⠤⢄⣰⣃⣴⠟⠁⠀⣠⡊⢊⠕⢁⣴⠁⣰⣿⢫⡷⢿⣛⢿⡟⣾⣳⣄⣄⡀⠈⢧⣼⣄⣀⣀⣈⣣⡀⠀⠫⡙⢳⣍⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣯⣷⡞⠀⠀⠀⣼⣿⡤⣯⠖⣟⢲⠃⠀⢀⣠⢖⡻⣉⠞⣥⢿⣵⠃⣸⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣹⣻⣿⣿⡿⢛⢧⣹⣿⢭⣿⣿⡿⠟⣸⣿⣿⣿⣻⣷⡦⣄⠀⠀⢠⠃⠀⢀⣜⢁⡼⠣⠄⡀⣔⡕⡱⠃⠀⡜⠁⢰⡏⠋⠣⢏⡷⣹⢞⡽⣾⣿⣿⣿⣿⣾⣿⣷⣶⣿⣍⠁⠀⠙⡶⠶⡏⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⣶⡟⣻⡷⠃⠀⣿⣞⣥⣶⢻⢣⡚⠴⣡⣾⣷⣿⠇⣰⣿⣛⢿⣶⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣿⡿⢳⠴⣋⣾⣿⢓⣾⣼⢯⡱⡜⣤⣿⣿⣿⡇⠉⠓⠦⡑⠦⣁⠀⠀⡞⢀⣾⠇⠀⠀⡞⢉⡼⠁⠀⢰⡅⠀⣿⣿⢀⢳⢫⡜⢣⣿⡿⣿⡿⣿⣿⣷⣞⡽⢿⣿⣿⣿⣿⡉⠋⢯⠀⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⡇⠀⡄⣽⠟⢉⠤⣲⣾⣿⣟⡧⢺⣍⣦⣽⣾⣿⣧⡿⢃⣴⣟⢧⣛⠾⣜⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡽⣩⢏⣽⣩⢣⣻⣿⣯⢖⡹⡵⢪⡝⣧⠀⢹⠀⠀⠀⠈⠓⢌⡑⢼⡇⣾⠝⠀⠀⡸⠀⣼⠃⠀⠀⢸⠀⢸⣿⣿⡈⠧⠛⠀⣺⣿⣽⡟⠹⢻⣿⢻⣟⣿⣭⣛⢷⣭⣯⣽⣦⣈⣷⣾⣿⣿⣿⣽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠘⡔⣷⣸⣤⣥⢶⣶⣟⣻⣉⣛⣯⡿⠟⠛⢿⣿⣟⣾⠟⢁⣼⣿⣽⣮⣝⡻⣼⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣿⣷⢭⣻⣿⣳⡿⣾⣿⣿⣏⡞⣭⠳⣼⣿⣇⠀⢧⠀⠀⠀⠀⠀⠈⠺⡷⣿⡀⠀⠀⡇⢠⣿⠀⠀⠀⢯⠁⢸⣟⣾⣟⣦⡀⢠⢻⣯⡿⡰⣉⠆⣿⢈⡻⡝⣿⣿⢎⡽⣮⣽⢿⣿⡽⢿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⣾⣿⡽⠠⢠⣿⣯⢻⣿⣋⣙⣷⣄⠀⠀⠈⣻⣋⣴⠟⠿⣯⣟⡿⣽⡷⠋⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⣷⣿⣬⣿⣿⣿⣿⣿⣿⣷⣎⣿⣿⣿⣿⣷⣛⣧⣀⠀⠀⠀⢀⣀⡨⠮⠿⢢⡀⢧⠸⣟⠀⠀⠀⢹⠀⢸⣿⢾⣿⡽⣹⢞⠦⣻⣿⡵⣩⠖⣼⣏⢶⡙⣾⡟⣮⣽⣿⣿⡯⠋⠙⠳⠿⠿⠿⠿⠿⠛⠛⠛⠛⠛⠿⠟⠋⢱⡿⢏⠀⠀⡟⠁⠀⣠⢿⠽⠻⣿⠋⣩⠰⡄⠫⠦⣲⣾⣿⠿⣶⡤⣀⠀⠙⠻⣋⣴⣾⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⡿⠟⠛⠉⠺⠬⠛⠉⠉⠁⠀⠄⠀⠀⠀⠈⠘⣶⣿⣕⢢⣀⠈⣇⣸⣿⣟⣾⣿⣵⣫⣗⡹⣿⣯⢇⡻⢬⡟⣮⣹⣿⣹⣾⡿⠛⠁⠄⡈⢁⠂⠄⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⠧⠈⢧⡘⢀⠴⠺⡵⢋⠬⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠛⠶⢭⣭⣼⣿⡁⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⢽⣛⡉⠑⠾⣿⣛⡽⣯⡉⢷⣟⡾⣽⣻⢧⣯⡝⡶⣻⣶⣿⣷⡿⠋⠐⠀⠃⠄⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠠⢿⡏⠀⠈⣽⣣⣦⣤⣤⣬⡧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⠀⠀⡸⠉⠛⢿⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠉⠀⠘⠓⠿⣿⣷⣯⣟⡾⣿⣕⣻⣿⡿⠋⠀⣀⠤⠀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣬⣷⣴⣤⣶⣷⣶⣾⣯⡹⣹⣾⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⠾⣿⣿⡿⠟⠋⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢿⣧⡙⠿⣯⣽⣿⣿⣿⣿⢻⣿⣿⣿⣷⣿⣿⣿⣠⣤⣤⣤⠀⠀⢠⠀⠀⠀⠀⠀⠀⢇⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣾⡿⣿⡿⣳⢻⠈⢢⡀⠉⠛⠿⣿⣿⣿⣿⣿⣿⡁⢀⣠⡇⠀⠀⠀⠀⠀⠀⠈⠳⣦⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⣀⣀⣤⣤⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠲⣤⠀⠀⠀⠀⠀⠀⣈⣿⣾⣿⣿⠁⡎⢸⠀⠰⢍⡢⢄⠀⠈⠑⢍⡈⢉⠉⠉⣩⠏⠀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢽⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣯⠱⢨⣦⠟⠀⢰⣿⣿⠃⠘⠢⣀⠀⠀⠂⠀⢀⠀⣤⣔⣒⣊⣩⣯⣿⣿⣿⡟⠀⣧⠸⡀⠐⠂⠉⠆⡈⠓⠢⠄⠉⠲⣶⣾⡯⠤⢾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⣉⣉⠀⠀⠀⠀⠣⠤⠤⠤⠠⠀⠈⢛⢯⣿⣿⣿⣿⣿⡟⠙⡌⢻⢳⣵⣤⣤⡀⠀⠈⠑⢤⣤⣄⡀⣀⣀⣀⡤⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀

⠀⠀⠁⠋⠒⠒⡷⢀⠀⠉⢴⠤⠤⠤⠠⠄⠀⠤⠤⠤⠦⢶⠲⠒⠛⠛⠚⠒⠚⢴⠢⠓⠉⠉⠉⠉⠛⠛⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀ ⠀⠞⣠⠀⠀⠀⡄⠸⠁⣏⠙⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⢾⠘⠀⠀⠀⠀⠀⡆⣶⣤⣧⠄⠀⠀⡀⣟⢸⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⡖⣿⣹⣯⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠮⠥⣋⡴⠀⠀⠀⠀⠀⠀⠁⠈⠂⡇⠼⠤⣧⠞⠇⢸⠀⠀⠀⠀⠀⠀ ⠏⣶⠙⠀⠀⠀⠀⠀⡆⣼⣀⠀⢄⠘⠀⠀⠀⠉⠊⠒⠤⣁⢿⡿⡄⠱⠋⠶⠘⠀⠀⠜⢀⠀⠀⠀⡅⠰⠁⢿⣼⠀⠀⠀⠀⠀⠀⠀ ⢆⠉⡀⢍⠢⠑⠉⠀⠀⡏⠲⠈⠀⡀⣸⢀⠀⠀⠀⠀⠀⡇⣿⣿⠀⠀⣄⡦⢐⠉⠉⢌⠒⠐⠛⠞⢒⡤⢀⡆⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢳⠀⡀⣹⢞⡠⠀⠀⠀⠀⠃⣤⠘⠀⠀⠁⠉⠉⡇⢀⣀⠃⢹⠚⠶⠶⣤⣄⣤⣢⢑⠈⠀⠀⠏⣽⠢⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠻⠚⡠⠀⠀⠀⠀⠀⠎⢠⠀⣇⢤⠣⡷⣙⣸⣆⠀⠃⡿⣿⠹⠀⠀⠁⠟⢿⠺⠈⡀⠧⡿⣿⣷⠹⡄⠛⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⣼⠀⠀⠀⠀⠀⠁⠔⣆⠈⠀⡄⠘⠀⡇⣷⠀⠈⠀⡇⣻⣏⣿⢻⠋⣰⣥⣼⠀⢉⠀⡷⣹⣌⣧⣿⢿⣺⣴⠀⠀⠀⠀⠀ ⠀⠀⠀⡆⢸⠀⠀⠀⠀⠄⢠⠀⠚⢸⠀⠀⢣⠉⡹⣿⠀⢸⠀⡇⣾⢷⣟⣿⣿⢿⡾⠒⡥⣟⢿⠻⣟⢹⠀⣇⣿⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣄⠑⠈⠀⠀⠀⠋⡵⠀⡇⠈⠀⡆⡉⣤⣤⠢⢉⠀⡏⢠⠀⣄⣿⣿⣿⣿⠻⡿⣿⢹⣾⣶⣶⠸⡀⣿⢻⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠀⠠⡀⢿⡿⠘⡀⢹⠉⠋⡚⢲⠀⠃⣿⣿⢰⠀⠀⡟⣼⣀⣤⣷⣿⣦⣶⣷⣿⠊⠀⡇⡗⣿⣻⣝⣭⠿⠛⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣀⢧⠀⠈⠀⠀⠀⠀⠀⡆⣿⣸⠀⠀⠏⣾⢀⠀⠁⡿⣼⠀⠀⡔⠄⠀⠀⡄⡷⣿⣦⣷⣿⣿⣶⣶⣴ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⠿⡾⡀⠀⠀⠀⠀⠀⠀⠀⣦⢈⠀⠃⣿⢠⠀⠀⡿⣿⠁⠈⠀⢉⠈⠀⠉⡟⣿⣽⣿⢿⡿⣿⢿⠿⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠃⡴⣁⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠢⡿⣸⠀⠀⡏⣿⣛⡖⠒⢓⣙⢛⠿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠢⠖⣶⣷⣿⣿⣿⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⡇⣈⣀⢤⠛⡿⢸⠀⠀⠀⠀⠁⠉⣼⣀⢀⠀⠀⠀⠀⠀⡄⣿⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⡇⣧⢿⠀⠀⠁⠟⡿⣼⠀⠉⠀⠀⠀⠀⠀⠀⠀⡃⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⡇⡀⢹⠋⠈⠏⣬⣿⢸⠀⠀⣄⠲⠈⠀⠀⠀⠁⠋⣸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠇⢡⠉⡖⠖⣶⠛⡟⣲⢿⣿⢻⠙⠬⠓⠈⢆⠙⠇⢉⡜⣧⠛⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⡼⢀⠀⠀⠀⠀⠀⣄⡿⣴⣀⠀⠀⡀⣄⣷⠛⣽⣿⣿⢿⠒⣼⣄⠑⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡜⠀⠉⠒⠒⠒⠒⠐⠀⣼⠤⠄⠠⠀⠠⠑⠀⣄⢹⠀⡄⢀⠀⡄⠘⠀⢆⠙⠀⠀ ⠀⠀⠀⠀⠀⠀⡎⢱⠇⢠⠀⠀⠀⠀⠀⠅⠈⠀⠀⠀⠀⠀⡀⠸⠀⣎⠀⠀⠀⠀⠀⢇⠀⠀⡄⠱⠀ ⠀⠀⠀⠀⠀⠃⢠⡏⡀⠹⠀⠀⠀⠀⠃⣿⣿⠈⠀⠀⠀⠀⠇⢠⠆⢀⠀⠀⠀⠀⠉⠒⢴⠀⠀⡀⢻ ⠀⠀⠀⠀⠋⣠⠀⣰⠀⡇⠁⠉⠋⠀⠉⣄⣬⢠⠃⠛⠈⠀⢱⠀⢢⠛⠔⠤⣀⣀⠀⠀⠀⠀⠀⠁⣾ ⠀⠀⠀⠃⢀⠀⠁⠚⡴⣠⣀⠉⣿⣶⣴⠤⣶⠿⡿⣸⣀⠦⡟⠈⠀⡀⢄⠀⠀⠀⠀⠀⠀⠋⠔⣠⠀ ⠀⠀⠀⡇⠀⠎⣠⠚⠛⠞⡴⣀⢀⠋⠔⠠⠄⠢⡐⣄⠷⠬⡸⢦⠈⠀⠀⠀⠅⠀⠁⠒⡠⢀⠀⠀⠀ ⠀⠀⠀⡄⡿⢋⠖⢰⡀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠤⢷⠀⠀⠀⡎⡠⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡞⢳⠀⠀⠀⠀⠀⠃⠩⠉⠀⠀⠀⠀⠁⠛⠛⠛⠜⠠⠄⡷⢻⠁⠔⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠃⢻⡟⢰⠀⠀⠃⡸⡟⣿⣿⢿⠀⠘⠋⡴⠀⢀⠘⡀⢄⠦⠑⣌⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡟⣾⢀⠀⠀⠆⣿⠿⣿⣿⣹⠉⡿⣴⢀⠀⠀⠀⡄⠀⠀⠀⠀⣀⡦⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⣿⠀⠀⠀⠀⠀⠀⣀⣄⣿⣶⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡼⢀⠀⠀⠀⠉⠊⠖⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀ ⡆⠲⠞⠴⡠⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠈⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢾⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⡸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢣⠀⡀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠁⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢢⠈⡄⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡰⠀⠀⠀⠀⠊⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠦⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡰⠀⠀⠁⠊⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⠒⠉⠈⠀⠀⠁⠋⡴⢁⠉⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⡀⣤⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣄⢹⠆⡇⡿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣿⣿⣿⢻⣄⣷⣿⡻⣯⣿⣿⣿⣿⣿⣾⣀⠀⠀⡀⢷⠈⠀⣤⣷⣿⢿⠙⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠆⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠙⡀⣿⣿⣿⣿⣿⢀⣏⣯⠘⠀⣯⣿⣷⣿⢿⠙⣄⣷⣿⣿⣿⣿⣼⢀⠀⠀⠀⠀⡄⠳⣌⠳⠈⠀⣄⣷⣿⢿⠙⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⢾⠛⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣾⣸⣇⠃⣰⣀⢧⡟⣰⠀⠀⡀⣄⣷⢾⠈⣄⣷⣿⣽⢷⠉⠀⠀⠐⠀⠀⠀⣆⠹⣄⠱⠀⠀⣄⣷⣿⢿⠙⠀ ⠀⠀⠀⠀⠀⠀⠀⣦⢽⠳⠙⠈⠁⠉⠉⠚⠓⠶⠤⠥⣾⣴⣤⣦⢻⡾⣤⡿⣿⠘⠀⠀⣼⠀⠀⠀⠀⠀⡀⢻⠈⠆⠘⣄⣷⠿⣙⠀⠀⠀⠀⠀⠀⠀⡀⢦⡈⢦⠙⠀⠀⣄⣷⣿⠻ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣝⣿⣈⢀⠀⠀⡀⢦⡟⣸⠀⠀⠀⠀⣷⢠⠀⢹⣄⢰⠀⡇⢸⠀⠀⠀⠀⠀⠀⡧⢰⠀⣀⢦⠙⣄⢷⠊⠀⠃⠈⠀⠀⠀⠀⠀⢇⠈⡀⢦⠙⠀⠀⣦⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣤⢦⣔⠀⠀⠉⠋⠟⣿⠛⠙⠱⠈⠀⡆⠐⠀⣠⠀⠀⠀⡆⢠⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⡀⢦⠐⣄⠳⠈⣄⠳⠈⠀⠀⠀⠀⣄⠦⠙⡈⢦⠙⠀⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠉⠟⣾⣁⠋⠾⠀⠀⡀⣤⢦⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢹⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠿⣙⠁⠁⠉⠀⠀⠀⡀⣜⠳⡈⢷⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠟⣶⣥⢿⣴⣠⠀⠀⠋⡰⠀⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡈⢻⠀⠀⠀⠀⠀⠉⠛⡟⠯⠿⠿⣐⣄⢦⣳⢮⠳⠉⠏⠿⠙⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⢣⡼⣈⠏⣾⣞⠁⠛⠖⣿⢿⠴⠤⠀⠀⠀⠀⢆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣤⠦⠶⠽⣉⣋⡛⣛⣿⣿⣾⣿⠻⠈⠀⣄⠳⣎⣿⣧⣿⠹⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⡇⠀⢻⣾⠇⢿⣾⣡⡟⣴⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⣉⠋⠗⡿⣻⣿⣿⣿⣿⣿⠻⠈⡀⢠⡆⡿⣿⣿⠻⢀ ⠙⠀⠀⠀⠀⠀⠀⠇⢰⡏⠘⣷⢁⡿⣼⢋⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⠞⠤⠭⣩⣈⠀⠀⠀⠀⠀⡀⣄⣴⣿⣻⣈⣔⣦⠛⠀⡄⡼⣷⣿⣼⠻ ⣄⢦⠛⠈⠀⠀⠀⡇⠀⡇⣼⡀⡇⣰⠇⣰⠀⠀⠉⠋⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⠿⠤⣼⠃⡿⣿⣾⢠⠀⠀⠀⠀⠀⠁⠿⠿⣷⣱⣷⢬⠳⠈⣇⣼⣇⡈⣷⣿⡏ ⠀⠀⡀⣤⢶⠙⠈⡄⠀⡄⢹⠀⡀⠀⣧⢯⡾⣡⣟⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣴⡆⣛⢷⢹⡄⣤⣠⠀⠀⠀⠀⠀⠀⠀⣧⣴⢸⡇⡜⡀⢷⠈⣀⣾⢎⡀⢳⡈⣷⢸ ⠉⠀⠀⠀⠀⠀⣀⣮⠿⠿⣿⠙⠈⠀⠀⣀⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣾⠀⠏⣿⣧⣏⠘⠀⠀⠀⠀⠀⠀⠀⠹⠀⣿⠀⢹⡀⢹⢣⡀⢣⠀⢸⣆⠙⠧⣏⡘⢻ ⣛⣉⢭⠉⠉⠋⠾⢶⣤⣃⣿⢀⣄⢤⠷⡿⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡛⠛⠁⣷⣷⠸⢻⣿⠈⠀⠀⠃⠛⠿⠰⣟⠘⣿⠀⡆⠘⡆⠘⢣⠀⠀⢸⠁⡄⡿⡹⣇⡀ ⣿⣿⣾⣠⣉⠛⠐⠀⠟⣾⢀⠀⠀⠀⣼⣿⢲⠐⠁⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠃⢰⣧⡗⡼⡽⢻⣀⣧⢳⠁⡽⣿⣶⣡⠞⣷⢠⢻⠀⡄⢆⠀⢀⠈⠂⠀⡇⠀⠀⣇⣫⢿⠁ ⡯⣿⢋⠟⣿⣰⠁⡿⣴⠀⠀⠀⠀⡇⢻⡟⠻⠈⠀⠀⠀⠀⣀⣄⢸⠀⠀⠀⠀⠀⠀⡀⠀⠀⣦⣿⡄⣿⠸⡎⡘⣷⣾⢀⠀⣠⠀⣷⠘⡄⢳⠈⠀⠀⠀⡄⠱⠀⡀⢸⠀⡈⣿⣜⠀ ⠀⡀⢧⡎⢀⠁⡛⣠⠀⠀⠀⠀⠀⡇⣾⣶⣿⢿⠙⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⠹⡄⠰⠁⢺⡟⣿⢾⠷⠛⠛⡉⢧⠈⠀⢤⠤⠲⡓⢈⠀⠀⠀⠀⠛⢧⡇⢻⠀ ⠀⠀⠀⣀⠀⡿⣠⠀⠀⠀⠀⠃⡾⣟⠀⠀⠀⡀⣤⢿⠙⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⢻⡖⣰⠀⠒⠓⣉⢌⡠⣖⣤⣄⢦⠙⠁⠉⠀⠀⣄⢦⠙⠀⠀⣿⡇⡏⣤⢇ ⠀⠀⠀⠀⠀⣇⠘⠀⠀⠀⠆⣰⠏⢰⠀⠀⠀⠀⠀⡀⣄⢶⠺⠙⢠⠀⠀⠀⠀⠀⠀⠀⠀⠁⡧⢿⣟⣿⢿⢜⣌⠳⠛⠈⣀⣤⠲⠙⠀⠀⡎⠳⣹⠀⠀⠀⠀⡀⢧⠙⣏⡿⣾⠙⡗ ⠀⠀⠀⠀⠀⠀⣅⠾⡤⠦⠛⡸⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠲⠀⠀⠀⠀⠀⠋⠖⣠⡀⢷⣝⣷⣽⣿⠻⠈⣄⣦⢿⠳⠙⡙⣄⠢⠖⢩⡈⣄⠦⠑⠉⠀⠁⣿⣿⢀⠃⣼⡇ ⠀⠀⠀⠀⠀⡖⢀⠀⠀⠀⡀⢦⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡤⣀⠀⠀⠀⠀⠄⣲⣖⡷⣿⣿⣶⢿⠛⡉⠘⢠⡀⣦⠽⠬⠓⡚⣒⣖⠲⡷⣼⣀⢟⣾⠞⣰⠞⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣿⣻⣿⢶⡿⣿⣿⣟⠿⡙⢀⢀⣹⢀⣴⢁⠂⠑⡉⣏⡴⣁⠋⣵⢋⡿⣴ ⠀⠞⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣤⣠⢀⣇⠻⡞⣷⣿⣿⣿⢿⡺⣶⣛⣿⢿⠿⣿⣿⣽⠭⠭⡉⣋⠟⣴⢀⠀⠀

⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠀⡄⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀ ⡀⣄⠦⠙⣈⠢⠙⠀⠀⠀⠀⠀⠀⠀⠀⡏⠈⠀⡏⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀ ⠀⠀⠀⠀⣄⠳⠙⣄⠢⠉⠀⠀⠋⠚⠷⣼⢸⠃⡿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⡀⢄⠑⠀⣿⣀⠀⠀⡎⢸⠙⡍⣿⣯⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣈⠦⠛⠛⢸⡇⢲⢨⡆⡄⢳⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡿⣧⣏⣿⣿⢻⢸⠀⠀⡀⣏⢿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡇⢀⠀⡇⡮⣽⢿⢈⠀⠀⠹⠾⣡⣩⢝⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡷⠹⠀⠈⢸⠿⢹⠀⠀⠇⣰⠊⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣫⣏⡛⢒⣕⢰⣼⠁⠃⣸⠀⣀⠑⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢰⠀⠀ ⠀⠀⠀⠀⠢⠙⠁⠟⣣⡠⢀⠀⣀⢤⠻⢟⢧⡋⡿⠀⠤⠙⠀⢄⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⣳⢸⡸⠀⠀⠀⠀⠰⡐⢷⣸⣶⣸⠁⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢱⢸⠀⠀⠀⠀⠀⠀⡀⢳⠉⢹⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡴⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡟⢴⠀⠀⠀⠀⠀⠀⠀⡆⣈⢁⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⠊⠔⣀⠀⠀⠀⠀⠀⠀⠀⡀⠁⢨⠄⣧⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡽⣷⢴⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠓⢛⢶⡠⣁⢏⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⡤⣸⠏⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣴⣂⢈⢢⠏⣡⠪⡙⢭⠓⠉⠀⠀⠀⠀⠀⠀⠉⠊⠖⡠⢀⠀⠟⢤⢶⠙⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⢘⠀⡎⢀⠃⢠⡀⠀⠀⠀⢀⡀⣀⢤⠾⠹⡠⣀⢀⠀⠀⠀⠁⡜⢀⠀⠀⣄⠼⠻⠈⠀⠀⠀⠀ ⠲⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡷⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⡄⡿⣏⠈⠁⠀⠀⠀⠷⣼⠘⠀⠀⠀⠀⢿⢸⣿⠀⠀⠀⠀ ⠀⠀⣀⠤⠲⠒⠛⠛⠚⠓⠾⣷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⡰⣀⢤⢀⠈⠀⡄⢱⡇⠀⠀⠀⠏⣮⠁⣸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⢢⠈⠇⣿⢘⣇⣦⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⢠⣀⠀⠀⠀⠀⣀⢦⠑⡄⢸⠀⠁⠟⢀⢚⣴⣤⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⢤⡢⣛⢾⢺⡒⢲⡒⢳⠈⠀⠀⠀⠀⠀⠀⠀⠃⡼⢉⠉⠉⠀⠀⠀⠀⠀⠀⡀⢦⢻⠋⡡⣚⣶⣴⢮⠙⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠟⣣⣭⢉⠈⠀⠀⠀⡀⣄⠢⠙⠀⠀⠀⠀⡇⡿⣠⢋⠖⡤⢷⠈⠀⠀⠀⠀⠀⠀⡄⢛⡸⠀⠀⠀⠀⡀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣄⠲⠉⠀⡀⣀⣀⠤⠤⠒⠓⠉⣀⣤⢦⠽⡗⢸⡇⢿⠾⠶⠹⠀⠀⠀⠀⠀⠀⠀⠀⣄⣀⠤⠒⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠛⠉⠀⠀⠀⠀⡀⣀⠤⠓⠈⣄⠱⡄⣷⠁⠟⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠢⠙⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠊⠴⣠⣀⠀⡀⣧⢴⠶⠑⠈⠀⠀⠀⡀⢦⡛⢫⠈⣷⢹⠚⠙⠉⠉⠀⠁⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⡀⢆⠛⠉ ⠀⠀⠀⠀⠀⡾⢠⠀⠀⠀⠀⠀⠀⡄⣸⣀⢋⣠⢄⠢⠙⠀⠀⡀⢦⢟⡌⣇⠀⣱⣀⣄⣤⣤⣀⣄⡿⣧⠦⠓⠉⠀⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⢤⠒⠓⠉⠉⠉⠉⠉⠉⡉⡜⢀⠀⠀⠀⠀⣁⠻⠉⠀⡀⢳⠀⢿⡿⠀⠀⠀⠃⠛⠋⡞⡶⠀⡞⣀⣀⣀⢀⠀⠃⣴⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡴⠀⠀⠀⠀⠁⠜⣦⠳⣛⢿⠑⡏⢠⣸⣿⡼⣿⢷⡯⢸⣿⢸⠀⡟⢀⠀⠀⠀⠀⠃⣸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠙⠈⠒⠖⡤⣄⠹⠀⠀⣧⡽⠢⡚⡀⠀⣶⢹⣯⣶⣤⢀⢯⣴⠋⢰⠀⠀⠀⠀⠋⣰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣾⠈⠀⠀⠀⠀⡆⠘⠀⡀⡷⠻⡅⠶⠨⡤⣠⢀⠀⠇⡾⣤⣥⣼⠀⠀⠀⠀⡞⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠙⠀⠀⠀⠀⢧⠈⠀⠀⣄⣤⢶⡲⢖⠯⠽⣭⢉⠉⠚⡠⠀⠀⠀⠋⡰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠘⠀⠀⠀⢄⠢⠒⠙⠉⠀⠉⠞⡡⢉⠈⠀⠀⠀⠀⠀⠀⠞⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠹⠀⠀⠀⠀⠞⠤⣤⢀⣀⣁⠒⡤⢀⠀⠀⠀⠀⠉⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⣸⢄⠑⠈⠀⠀⠀⠀⠀⠀⠁⠝⢀⠀⠀⠀⠀⠀⠀⠉⠟⣻⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡀⢼⠤⠤⠀⠿⡶⣤⣄⢤⠿⠘⠀⠤⠤⣹⢉⣿⣤⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⣿⠀⠀⡆⢀⠀⠀⠁⣿⠖⠲⠒⠒⣶⢸⠀⠀⠀⣄⡄⣶⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⡏⢹⠀⠀⠀⠀⠁⡽⠈⠀⠀⠀⠀⠀⡇⢠⢄⠑⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠟⣫⢿⠿⣸⠉⡖⣶⠴⡤⢣⠋⠓⠟⣴⠤⣤⣶⠱⠉⠯⠿⣻⢙⠉⠀⢄⠑⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⣿⣿⣶⣷⣿⣾⢀⠀⠀⠀⠀⠀⠀⣀⣀⢀⠀⠀⠀⠀⠀⠀⡀⣿⣿⣾⣷⣿⢿⠘⢄⠑⠀⠀⠀⠀ ⠀⠁⡏⣴⣀⠀⠀⡟⣿⢹⠉⠊⠒⠒⠒⠙⠛⠀⠀⠀⠳⠊⠒⠓⠒⠑⠉⡇⣿⢸⠀⠀⣄⢧⠉⠀⢄⠈⠀⠁ ⠀⣳⡾⠀⠀⠀⠋⣿⣼⣀⠋⠿⣿⣿⠶⡷⣸⠀⠀⠀⡇⢶⡶⣿⣿⠿⠘⣄⣷⢿⠈⠀⠀⠀⣿⠀⠀⢰⠀⠀ ⠀⠀⢹⠉⠛⠿⣿⣿⣠⣀⣀⢀⠀⠀⠀⡞⠀⠀⠀⠀⠀⢳⠀⠀⠀⡀⣀⣀⣤⣿⢿⠻⠙⠉⣿⠈⠇⠀⠀⠀ ⠛⠈⣿⣿⣾⣴⣤⣿⠙⠀⠀⠀⠁⠋⡴⢀⠀⠁⡴⠘⠀⠀⢦⠙⠈⠀⠀⠀⠏⣿⣤⣦⣷⣿⣿⢠⡇⠉⠀⠉ ⣇⠀⡇⢀⠀⠀⠀⣿⣿⣟⣿⣬⣀⢿⠿⠿⠿⡼⠀⡆⠿⠿⠿⠿⣜⣤⣿⣿⣿⣿⠈⠀⠀⣀⣼⠀⡄⢠⠀⣤ ⠀⢧⡿⠿⠿⣿⣿⣿⣿⣿⣿⢻⠁⣿⣿⣩⣉⢠⠀⠀⣹⣍⣿⣿⢸⡏⣿⣿⣿⣿⣿⣿⠿⠿⢿⠚⠀⠀⠀⠀ ⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣤⣦⠈⠀⠀⣼⣤⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠃⠀⠀⠀ ⠀⠀⡄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⢹⠀⠉⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⡀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢧⠌⣇⣿⣿⣿⣿⣷⣿⣤⣷⣿⣿⡙⣤⣷⡿⣿⣿⣿⣾⣴⢀⠀⡁⢢⠘⡀⣦⣿⠻⠈⠀⠀⠀ ⠀⠀⠀⡀⢳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡟⣿⣿⣾⢸⠞⡶⠘⡟⣤⣄⣦⢿⡙⣄⣿⣿⣿⠈⠀⠀⠀⠀⢄⡑⠢⠈⡀⣦⣿⠻⠈⠀ ⠀⠀⠀⠀⠀⣆⢿⠙⠈⠁⠉⠉⠋⠚⠶⠿⡶⣴⣷⣞⢦⢿⢸⠀⡇⢠⠀⠀⠀⡀⣹⠀⡘⣆⣿⣝⠀⠀⠀⠀⠀⡀⢦⣌⠳⠀⡀⣦⣿⠻ ⠀⠀⠀⠀⠀⠀⡀⣿⣿⣙⠀⠀⠀⢇⡾⢀⠀⠀⡆⢸⠀⡈⢠⠀⡧⠀⠀⠀⠀⠀⡇⠀⡀⢦⠙⣦⠙⠀⠳⠈⠀⠀⠀⢆⠈⢄⠑⠈⡀⣧ ⠀⠀⠀⠀⠀⠀⠀⣸⣀⢀⠉⠚⠴⡭⣤⠤⢶⠙⠀⢀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢀⡀⢦⠙⢅⠠⠀⠀⠀⡀⢤⠲⢌⠳⡈ ⠀⠀⠀⠀⠀⠀⠀⢸⠃⡾⣯⢾⣤⢀⠁⠞⠀⠀⢄⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡆⢸⠀⠀⠀⠁⠉⠿⡟⣻⢄⠤⣷⠺⠙⠉⠛⡈⠠⢀ ⠀⠀⠀⠀⠀⠀⡇⠿⣀⠏⣳⢩⠟⡵⣾⠴⠠⠀⠀⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢤⠦⡓⣚⠒⣿⣿⣽⣿⠻⠈⡀⡳⣧⣿⢿⠘⠐ ⠈⠀⠀⠀⠀⠀⣸⡏⡇⣸⡟⣾⢏⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠒⠒⠤⠤⣄⣤⣶⣿⣿⣾⣷⠙⠀⠀⣮⣿⣿⠙ ⢦⠓⠈⠀⠀⡇⢀⣿⡠⡇⣰⡎⢠⠀⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠛⠚⡷⢃⡿⣾⢠⠀⠀⠀⠀⠋⠛⣿⢶⠺⠑⢌⠞⢧⣆⣿⣿ ⠀⠀⣄⢦⠓⠙⠈⡇⠘⡀⠀⣦⠿⣋⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣰⡇⣟⢻⡄⣠⠀⠀⠀⠀⠀⡀⣼⣸⡇⠀⣆⠘⣇⣣⡀⠫⣌⢸ ⠲⠒⠀⠀⠁⡋⣿⣷⢼⠲⠙⠋⡾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⡿⣹⣷⠻⠀⠀⠀⠁⠈⠣⠇⢸⠆⡀⢰⠡⠄⡇⠀⢣⢽⢧⣆ ⣿⣿⣴⣡⣉⠀⠋⣼⢀⠀⠃⣷⢲⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⡄⣆⡯⣿⣯⡄⣶⠘⠟⡿⣶⢋⣷⡦⢘⠀⢠⡄⠀⠀⡀⠸⠀⣧⢿⠀ ⡦⣳⠗⣾⢀⠟⣰⠀⠀⠀⡇⠿⢿⠘⠀⠀⠀⣀⢧⠀⠀⠀⠀⠀⠀⠀⣅⢻⣆⢸⡇⣄⣿⢈⡀⠀⣧⠈⢄⠙⠀⠀⡈⠰⠀⢀⠀⡌⣻⢠ ⠀⡀⣦⠀⡞⢰⠀⠀⠀⠋⡞⣀⣤⣦⠻⠈⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣷⠻⢋⡝⣭⣬⣦⣷⠿⠳⢶⠘⡀⣀⢄⠢⠙⠀⠀⠼⢰⣾⠡ ⠀⠀⠀⠀⢻⠀⠀⠀⡖⢃⢠⠀⠀⠀⡀⣄⠳⠛⡌⠀⠀⠀⠀⠀⠀⠀⠇⡿⣿⢻⠸⠣⡙⣈⠤⠲⠙⠀⡄⠳⢹⠀⠀⡀⢄⠙⣏⡿⢹⡇ ⠀⠀⠀⠀⠁⢔⡤⠦⠹⢀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠀⠀⠁⠉⠖⡠⡀⢧⣝⣿⣿⠻⡈⣦⢼⠳⡓⣌⠤⢲⡑⣍⠢⠑⠉⡿⣾⢁⡜⡏ ⠀⠀⠀⠀⢀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣁⣟⣿⣻⣿⢿⠾⠙⠈⣆⣷⣔⣾⣀⣀⣦⢓⡞⣤⣺⡅⣾ ⠁⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣤⣠⣧⢛⡷⣿⣿⣿⣾⠷⡿⠻⠛⠿⡿⣻⢁⠭⣋⡴⣀⢀

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⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⣇⣿⣽⣦⣿⣿⣿⣢⣛⣛⣟⢟⣥⣻⣿⢴⠀⣻⣿⣻⡙⣧⣫⢔⢋⡿⣞⣡⠟⣴⢋⣻⢾⣴⣟⣿⣣⣽⢞⣰⡖⣺⠖⡭⣡⣞⢣⡾⢀⠋⠛⠖⠤⣀⠋ ⠀⠀⠀⠀⠀⠀⠾⣾⢸⠀⡀⢿⣦⢿⣛⣮⣿⣿⠿⠿⣿⡿⣛⣿⣠⠀⡟⣿⣿⢸⡄⢳⢥⣻⢋⡿⢿⣿⢟⣿⣷⢉⠋⡿⣵⢟⣾⣠⠀⠀⠀⠀⡅⣾⣡⠟⣴⠁⡞⣀⠀⠀⠁⠔⢀ ⠙⠀⠃⡿⣨⣦⣿⢠⢸⠀⠀⣾⠺⡙⣯⣿⠻⣌⣶⣿⣿⣾⣿⢘⠀⠏⣿⡼⣠⢦⠉⠀⡀⣷⣫⣿⣟⢶⣠⣀⣤⠷⡌⢶⣵⢋⣷⢮⠛⠛⠁⠞⣩⠞⣿⢠⠏⣴⢀⠀⠀⠀⡶⠲⠴ ⣿⠏⣿⣿⢹⠀⣾⠁⢸⠀⠀⢀⢻⠀⠀⡀⣀⢠⠀⠀⢸⠀⡀⠋⡶⣶⣒⢒⠿⠿⡿⢿⠈⠀⣦⣹⢉⠀⠀⠀⠀⡁⣾⠹⠀⣄⣦⣙⣀⠀⡿⣽⣿⣿⣽⣯⣾⠀⠀⠀⠀⠀⠀⠟⠙ ⣧⣿⣿⣿⣿⠻⢰⡏⢸⠀⠀⠀⣿⠉⠀⠀⠁⠛⠁⡞⢠⠀⡎⢉⠋⠚⠢⠐⠀⡀⣀⣀⣦⠹⡿⠪⣝⢦⠙⠛⠽⡀⢹⣿⠘⠀⠀⡀⣀⡄⣷⣿⣯⣿⣿⣾⢠⠀⠀⠀⠀⠁⡟⣿⣿ ⡇⣿⣿⣼⣷⣿⠇⣿⢠⠀⠀⠇⣾⣃⢽⠿⣴⢏⣰⠎⠀⠃⢰⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⣽⣦⢿⡹⣦⣷⢻⣿⣿⢻⠈⠀⠀⠀⠀⠀⣧⢫⣿⣴⢀⠀⠀⠀⠀⠋⡽⣤⣷⣿ ⡆⣶⣲⠀⠀⣿⣷⢸⢁⠛⠶⣴⣤⣯⠻⣶⣠⢀⠏⢰⠁⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢻⠀⠀⣧⢻⠈⣄⢻⠀⠀⣀⣦⣿⢙⠀⠀⠀⠀⠀⠀⡄⢻⠉⠉⠉⠛⠞⣿⣙⣞⢿⠈⣀ ⠀⣀⢀⠀⠀⢱⡿⣼⣠⠀⠀⠉⠉⠾⢠⠀⠀⡎⣧⠉⡿⢉⠋⠙⠈⠀⠊⠒⠁⠉⠟⡟⣼⠀⠀⠀⣆⢿⠒⣴⡼⣷⢿⠻⡍⣶⣿⠻⠋⠚⠒⠙⠀⡀⣧⣿⣿⣿⣿⠻⣮⣿⣿⢿⠀ ⠐⠀⠀⠀⠀⡀⠀⢀⠙⠍⣿⣴⣰⣠⠀⠁⠞⢡⡟⡞⣶⣿⢿⡶⣶⣤⣤⣤⣤⣦⣶⣠⠀⠀⠀⠀⠂⡗⠻⠀⣦⣹⣄⣤⣦⣷⠿⠛⠙⠉⠉⡉⢬⠤⡤⣥⣉⠛⣽⣿⢿⣯⣿⣿⢻ ⠀⠀⠀⠀⠀⠀⠋⠿⣾⣠⢀⠀⠁⠋⠴⡠⠀⡤⣠⢀⠀⡀⣀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⡀⠣⠀⠀⠀⡀⣀⣤⣶⣛⣉⣃⣌⣠⣆⣿⣿⣿⣿⣮⣽⣿⣿⣿ ⠀⠀⠀⠁⠉⠟⣾⣠⠀⠀⠀⠏⣾⢡⠋⠖⠿⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢧⡘⢷⠙⠀⠀⠀⠀⠀⡂⣭⢷⢻⠈⠀⣇⣿⣽⣿⢿⣎⣿⣿⣿ ⠀⠀⡀⣀⣁⢈⠁⠋⠛⠘⡇⣻⡴⣀⠀⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⡄⠣⡈⢦⠛⠈⠀⠀⠀⡄⠷⡈⣷⠻⠀⣿⣿⣿⣟⢿⣦⣿⣿ ⠀⠀⠋⠟⣿⢸⣼⢃⣿⢸⡞⢀⠀⠁⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⢧⠁⠀⠀⠀⠀⠀⠀⠀⠁⠉⣉⠻⠈⣄⠶⠲⠒⠉⠉⢧⡜⣿⢿⣌⣷⣿⣿⣿⢸⣷⣿ ⠟⡿⢻⣿⡏⢀⢹⡾⣂⢻⢰⠀⠔⣾⠀⠀⠀⠀⠀⠀⠀⠓⠈⠀⠦⠒⠓⠙⠈⠀⣾⢸⠀⡇⣼⠀⠁⠀⠀⠀⠀⠀⠉⠙⠀⡀⣷⢿⠙⠈⠀⠀⡀⣄⢻⣇⣿⢿⠀⣦⣿⣹⣿⡇⣿ ⣇⣿⡇⣿⣠⠀⣤⢠⠏⣰⠀⠀⠇⢰⠀⠀⠀⠀⠀⠀⠀⠀⣄⠿⠉⠉⠀⡀⣀⣤⢶⢿⠈⡇⢼⡄⣤⠐⠇⣿⠿⠛⣞⣦⠀⠃⡿⣸⣆⣽⠶⠛⠈⠀⡃⣜⢿⣷⠹⠀⣯⠉⣿⣿⣿ ⡿⣿⡿⣴⠀⠀⠀⡟⢸⠀⣦⢿⣿⠉⠀⠀⠀⠀⠀⠁⠛⠼⠣⣵⢳⠀⠀⠀⠀⠀⠀⡀⢦⠛⠙⠂⠛⡿⣿⣿⣿⣾⢀⠁⠟⣿⣾⢻⠀⣇⠀⠀⣀⢤⠶⣛⣬⣭⣉⣉⣉⣉⣉⠛⣟ ⢀⡀⣦⠀⠀⠀⡇⣿⠀⠀⠤⣦⣽⣾⣷⣿⣿⣿⣿⣶⣠⢀⢾⢠⡀⢷⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⢿⣻⣛⣛⣟⢿⣿⣿⣿⣴⢀⡇⠀⡆⢸⠀⠀⠀⠀⡇⣌⣀⣇⢀⣀⣀⣄⢰⣿ ⠀⠀⠀⠀⠀⠏⣼⢀⠀⠀⠀⡇⢸⣄⣷⢮⠛⠈⠦⣤⠀⠀⠱⠀⠀⠀⢻⠈⠀⠀⠀⠀⠀⠀⠀⢧⣾⣼⣤⣤⣤⣥⣧⣿⢈⠁⠏⡟⢾⠤⣿⠀⠀⠀⠀⡇⢸⢀⠀⠀⡄⢠⠀⠁⣿ ⢀⠀⠀⠁⠟⣿⠀⠀⠀⠀⠀⡇⢿⠙⡀⢧⡘⣤⠲⠙⠈⠀⡀⢷⠙⠀⡆⢻⠀⠊⠘⠀⠀⠀⠀⠀⣆⣞⠹⠀⠀⢁⡇⡸⣷⣈⠀⣾⣿⠀⣿⠀⠀⠀⠀⡿⢸⠀⠀⠀⠀⠀⠀⡇⣼ ⠀⠀⠀⣤⣦⣿⠘⠀⠀⠀⠀⡇⣾⣿⣿⠻⣌⠹⠂⣿⣿⣿⠈⡀⣽⢷⠈⣇⠸⢸⣧⠀⠀⠀⠀⠀⠀⢆⡌⠿⠴⣀⡇⢸⡄⢹⠃⢸⣸⠀⣿⠀⠀⠉⠛⡛⣯⠻⠈⠀⠀⠀⠀⡇⢀ ⠀⠀⠀⠀⠀⡀⢿⠻⠈⠀⠀⠀⢿⡄⣷⡹⣧⡿⢻⠀⠀⣦⣿⠻⡇⠈⢦⡜⣿⢸⡿⠀⠀⠀⠀⠀⠁⠞⣷⣄⢻⠀⡇⢸⠀⣇⡏⢸⢸⡏⣶⠽⠡⣟⠰⡀⣄⣿⣘⣦⠿⠶⠠⡇⠊ ⠀⠀⠀⠀⠀⠀⠀⠀⣄⢷⠘⠀⣧⠿⠀⣧⠻⣆⣿⠸⠀⠆⡻⡄⢷⢻⠀⣆⣿⢱⣸⠀⠀⠀⡆⡞⣸⠀⡄⠸⣧⠸⡇⢀⠀⡇⣿⠁⣿⣼⠟⣿⣶⣻⢀⣀⡁⡏⣿⠀⡇⢹⠀⠸⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠓⡟⣿⠈⠀⣆⠹⡄⣿⠘⠀⡀⢀⡄⣿⠘⠀⣻⡿⢸⠀⠀⠈⡆⢱⢳⠈⠀⢀⡆⣿⡟⠀⠀⡏⢡⡟⣫⡿⣼⢁⠏⢠⠁⣰⣀⣿⣶⠸⠀⣆⡿⢿⣠ ⠀⠉⠈⡇⠒⠁⠐⠀⠀⠀⠃⡴⣾⣿⢿⠀⠀⣆⠹⡄⣿⠀⠀⠀⠀⡄⢻⠏⣠⡏⢀⠀⡬⠀⢽⡟⡟⢣⠀⠀⠀⣿⣼⠀⠀⣿⣤⢾⣯⣼⣄⣠⢀⠀⡆⠁⡟⢩⠈⢸⠀⠁⡟⢲⠀ ⠈⡀⢀⠀⠙⡀⠀⠀⠁⠜⢀⡇⠀⣇⣿⢻⠀⠀⣇⠸⡄⢻⠀⠀⠀⠀⣧⢰⠃⣿⢸⠀⢰⠤⣀⣇⣸⣼⢷⠈⠀⣿⢠⠀⡇⣸⠀⠃⣾⠀⠀⠀⠀⠀⠀⡟⣾⣠⣷⢰⠀⡷⢀⠀⠀ ⠁⡏⢠⠋⡃⡀⣀⣯⣁⣞⠀⡇⠁⣾⣿⣿⢿⠀⡀⠸⠀⣆⡿⠤⠰⠀⡾⠀⡟⢠⢸⠀⠀⠀⠀⡀⢸⢸⡀⣷⠘⣿⠀⠃⣾⠀⠁⡿⢠⠀⠀⠀⠀⠁⡟⣿⢠⠁⣾⠉⠈⠀⠀⠀⠀ ⣄⠈⠀⢈⡅⠈⣇⣻⣼⢀⠀⣟⣿⢻⡆⣿⣿⣿⢈⠀⠀⠀⠀⠀⠀⡏⢰⠇⢱⢉⠀⠀⠀⠀⠀⠀⢸⢹⠈⡀⢸⣿⠁⡿⣾⠁⡿⣸⠀⠀⠀⠀⠉⡿⣿⢰⠀⡿⣿⣠⠀⠀⠀⠀⠀ ⠀⠀⠀⢦⡀⣀⡏⣹⠀⠀⠀⡇⣿⣯⠙⣇⣿⣿⣿⠘⠀⠀⠀⠁⠞⣠⠃⡿⣸⣁⣠⠀⠀⠀⠀⠋⢾⣛⠴⠦⢸⣼⡃⣿⢻⡿⣰⠀⠀⠀⠁⡟⣿⣿⣰⠀⠇⣾⢠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠆⣠⣀⢳⠙⠀⡇⣿⢻⣿⠙⣷⣻⣿⣾⠀⠀⠃⡾⢀⠁⡼⣀⠀⠀⠀⠀⠀⠀⠏⣷⢿⢸⠀⠀⡏⢻⣿⣿⣾⣴⠤⠶⠿⠾⣿⣿⣿⣸⠁⠟⣴⢀⠉⠉⠉⠉⠀⠉⠈ ⠀⠀⠀⠐⠀⠀⠀⠀⠀⡏⠀⠀⢻⡀⣄⣦⡙⢷⣈⢀⠀⠀⡜⠀⠁⡾⢀⠀⠠⠀⠀⠀⠀⠞⣠⡍⣧⠸⠀⠁⣿⣿⣴⢀⠀⠀⠀⠀⡀⢀⠀⣀⣀⣦⣿⢾⠴⣠⣀⣀⠀⠈⠀⠀⠀ ⣄⠀⠀⠀⠀⠄⠶⡠⣁⣼⣆⠶⡙⢢⠛⠈⡀⣷⢿⠀⠀⠶⢠⠋⡴⠀⠀⠀⠀⠀⠀⠀⡀⠎⣠⣄⠶⣾⠶⣿⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣄⡿⣄⠀⠀⠀⣄⢿⠼⣶⣰⢀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⡎⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠒⠀⠃⠀⠀⠀⣇⠈⠀⠀⠀⠀⠀⣄⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠊⠟⢿⠙⠀⠉⠉⠀⠐⠆⢠⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠆⣈⣀⣀⢀⠸⠁⠚⡰⣖⣛⠐⠀⠂⠓⠒⠂⠒⠑⠃⡿⠾⠘⠀⠞⠤⠤⠂⠓ ⠀⠀⠀⠀⡀⠱⠀⠀⣇⣿⢻⠙⣿⡴⠀⠀⠀⡀⠑⠈⠀⠀⣆⣿⡸⢇⠋⢰⠀⠀⠚⡠ ⠀⠋⠴⠤⠤⡆⠘⠀⡀⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⣄⠙⠀⠀⣀⡦⣿⣾⠠⠀⡎⠀⠀ ⠇⡼⠤⠐⠀⠤⢳⠀⠀⡆⠈⠀⠁⠞⣠⠀⠀⠀⠁⠀⡄⠢⠈⠀⠀⡎⢀⠀⠃⢠⠀⠀ ⠀⢄⠦⠀⠂⠘⡀⠘⠀⠀⠁⠔⢀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡀⠤⠑⢀⠀⠀⡸⠀⠀⠀ ⠀⠀⠀⠀⡇⢸⠃⡖⠱⡨⣀⢧⠺⠁⠀⠀⠀⠉⡰⠀⠀⠋⠴⠀⠀⢄⠢⡤⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⢿⡝⠲⠒⡀⣇⡗⢇⠀⢀⠀⣶⠑⢄⠙⡠⠀⠀⠀⡀⠠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣤⢦⠷⠷⠿⣦⡀⠈⠒⠄⡀⠀⢳⡿⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡄⣧⠀⣠⠀⠀⠀⢩⠀⣥⠛⣟⣿⠴⠢⠙⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⠃⠙⠃⠚⣶⣶⣿⣽⣤⣤⣦⣌⣷⢤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⠴⣠⣀⠀⠀⠀⠀⡄⣿⠙⠉⠉⢏⠀⠀⠀⠐⠀⠚⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠟⡿⣾⢀⠄⡤⠁⠊⠴⠿⣾⣗⣼⣿⣘⣀⣀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢺⠗⠿⠀⠀⢶⣉⢉⠉⡔⠁⣿⢿⠛⠻⠸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡆⣿⡿⢿⡠⢁⢠⠀⠉⠋⠟⠙⣿⣼⣀⠀⣠⣇⢺⠓⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣶⣿⣹⢉⠇⡿⣸⣄⣷⣿⣿⠙⠀⠀⠿⣾⢸⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⣷⣿⣿⡿⢿⠵⠀⡃⣟⣿⣿⠙⠟⣸⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣦⣶⣿⣿⢿⡿⣿⣾⣿⣠⣀⣦⠹⡇⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⠹⡇⢹⠀⠀⡄⣷⢼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢷⢽⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀

⠀⠀⠁⠖⠦⠐⠈⠁⠉⠉⠉⠛⠛⠟⠿⠿⣿⣽⣤⣧⠦⠓⠙⠋⠽⠭⠭⠿⠿⠿⠿⠶⠶⠶⣤⣀⣄⠢⠙⠀⠀⠀⠀⠀⠀⠀ ⠀⠜⢀⠀⠀⠀⠄⡠⣀⢀⠀⠀⠀⠀⠀⣀⣄⣷⣮⣿⠿⣿⣾⣴⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠱⠀⠀⠀⠀⠀⠀ ⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⡟⣿⣿⢒⠒⠑⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀ ⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣸⠀⠀⠀⠀⠀⡀⢄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠻⠛⠙⠈⠀⠀ ⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⡏⣿⣿⣿⣿⠿⠙ ⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢰⠈⠀⠀⠀⠀⠀⠏⣿⣾⣷⣿⣿⣿⣿ ⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢠⡏⢷⠀⠀⠀⠀⠏⣠⣞⢸⠀⡀⣀⣏⣰ ⠀⠀⠀⢢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⢰⠋⢠⡄⠸⠀⠁⠟⢻⡟⢉⢸⠀⠋⡞⢠⠀ ⠀⠀⠀⠀⡄⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠋⡶⢑⠞⣠⠀⠀⢸⠋⡴⢁⣿⣿⣿⢻⡴⣠⠀⠀⠀ ⠀⠀⠀⠀⡎⠀⡀⠤⠒⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠟⡽⣋⠶⣠⠀⠀⠀⠏⣾⢀⠉⡼⣁⣼⣮⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢁⠀⠀⠀⠀⡁⢼⠲⠙⠀⠀⠀⠀⠀⠀⠀⡄⣿⣼⣤⣤⣀⠀⠁⠋⠒⠴⣠⢀⢸⠇⢡⢿⡿⠉⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡆⠈⠀⠀⠊⡴⢦⠒⡁⢌⠳⠙⠈⠀⠀⠀⠱⡄⢷⠈⠀⠄⡷⣿⠚⠒⠤⠤⠓⢋⣿⡿⣿⣿⣠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢆⠈⡇⠀⠀⠀⠀⠀⡀⣤⣷⢿⠀⠀⠀⡀⢢⠈⣦⠻⠈⡇⣠⠀⠀⠀⠁⠟⣼⢁⡞⣮⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣧⣦⠻⠈⠀⠀⠀⠀⠀⣀⢠⠀⠀⠀⠀⡄⠢⡈⣄⣶⠳⠛⠛⠜⣩⢊⡴⣩⠔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡆⠸⠀⣀⠻⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠞⠓⠉⠉⡉⣉⠉⠓⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣄⠢⠙⠀⣈⢿⠻⠑⠈⠀⠁⠋⠒⠤⠤⡤⣦⠙⠀⠀⡀⣁⣼⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡇⠀⣿⣼⢀⠀⣀⣀⣀⢤⠳⠈⠀⠀⠀⣆⠀⠀⠋⣰⠀⠝⡤⠢⠐⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⡞⣠⣀⡀⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⢆⠈⠀⠀⠀⠀⡇⢀⠁⠎⣄⢼⠤⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⡇⣿⣿⠈⠀⠁⠉⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇⣾⣮⢀⠀⡄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡆⠈⠀⠀⢳⡀⢦⠙⡀⢻⣙⠿⠻⠛⠟⢸⠀⠀⠀⠀⣿⠔⢀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢆⠈⠀⠀⢧⠈⡇⠸⣽⣷⣿⣟⣿⣴⠀⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠐⠀⡀⣿⣬⢀⡇⡘⢀⣉⢉⠉⠋⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠤⠤⡷⢸⠂⡿⣠⣿⣹⠀⡀⣷⠀⠀⠏⢓⠉⠊⠒⠒⠤⠢⠙⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⠀⢸⠁⣼⣧⠀⠀⡇⠀⠃⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⠠⠴⠚⠷⠿⠿⠿⠻⡾⡿⣿⣷⠿⡿⢿⠿⡿⣽⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⢹⣀⠀⠀⠀⠁⠁⡁⣉⠀⠀⠀⠀⢀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠋⡰⠀⠀⠋⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⠻⠀⠀⡇⠵⠤⡠⣀⢀⠁⡿⣿⢿⠼⠤⠤⠤⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠞⣠⠁⠟⣰⠀⠀⠋⣸⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠘⠀⡀⡼⠀⠀⠀⠀⠀⣈⢀⡀⠉⠀⠀⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⡠⠀⠃⡴⡐⠀⠋⡴⣎⠀⠁⣴⠁⠉⠉⠉⠋⠙⠀⠀⠀⠀⠀⣦⠘⣄⠘⠀⣆⢹⠀⠹⠀⠃⢿⠈⠃⣿⠻⠛⢿⠐⠀ ⠀⠀⠀⠀⡀⢀⠀⠀⠃⣾⢠⠀⡴⢀⠎⢀⠁⡞⣠⣒⣄⣠⣀⣀⣄⣦⢷⠘⠀⠀⠀⣌⢷⠆⠈⡀⣏⠙⣿⠿⡿⣷⣿⣿⣴⣿⣿⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⣰⠀⠀⠀⠀⠀⠀⠋⣠⠀⠀⠀⠀⠊⠤⣀⢄⠓⠀⢄⠑⠀⠀⠀⡀⡾⢿⣚⣖⢸⡇⢿⣿⡀⣿⣿⠀⣷⣿⢡⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠃⠰⠀⠀⠀⠁⡜⢀⠀⠀⠀⠃⣹⠀⠀⠀⠀⠀⢇⠈⠀⢇⡄⠸⠀⢁⣧⠼⠀⢸⡀⣿⣸⠀⣷⣸⠁⡇⢸⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠁⠟⣠⠀⠀⠀⠀⠀⡆⣿⢿⠛⠛⠉⠉⠛⠀⠀⠀⠀⢆⠈⡀⡄⢿⠄⢣⠘⣄⠀⠇⠸⠁⠸⠀⡿⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⠟⢫⠠⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⣤⣶⣰⠀⠀⠀⠀⠀⣄⠈⠀⣿⠸⠀⠁⠋⠀⡷⢿⡿⣴⣣⣿⢹⠀⠀ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⣿⢡⢿⢠⠀⠀⠀⠀⠄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⡇⢎⡧⣾⣧⠀⡄⣿⣿⠀⡟⣸⣷⠸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⣱⡟⢰⠀⠀⠊⠒⠈⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣿⣸⣄⠇⠸⠀⠋⣿⣿⠮⣴⠀⡀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⣧⣿⠈⠀⡆⣿⣿⢼⠀⠀⠘⠀⣇⠺⠀⠀⠀⠀⠀⠉⠀⠀⠀⠉⡟⣿⣿⢸⠂⡿⢿⡿⢿⣷⣿⠧⣿⢻⠈⡇⠘ ⠁⠀⠀⠀⠀⠀⠀⠀⡘⡀⣿⣿⠳⠉⡉⣉⠟⠸⡟⢻⢹⡿⠐⠸⠀⠃⠿⠽⠸⠀⠧⠟⣷⣼⣧⣿⠜⢠⡇⢿⣿⢀⡇⣿⠘⣿⣷⣿⣿⢸ ⠀⠀⠀⠀⠀⠀⠀⡆⠑⠉⣿⣿⠹⠈⠏⢿⣿⣾⣣⣿⣴⣷⠀⢸⢦⡙⣤⣤⢀⠁⡞⢁⡏⢀⡏⣿⣿⢀⡇⣿⢰⠀⡿⣾⢿⣿⠀⣆⣿⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣽⣷⣿⢻⣿⣿⣿⢃⣿⣻⠀⡄⡿⢰⠁⡕⣏⠾⣡⣟⢠⡽⠊⠏⣷⣼⡄⠰⡆⣰⠁⡟⣿⢀⣧⣿⢸⠀⣿⠁ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⡀⣦⣿⣹⣿⠻⣮⢀⡿⣻⣿⣾⠃⣿⠛⣿⣹⡟⢟⣯⢡⡿⣟⠴⢁⡰⠀⠘⠀⠀⠁⡿⣤⢁⠉⠀⡇⠿⢉⡿⡟ ⠀⠀⠀⠀⠀⠀⠀⠆⢷⠘⠀⡀⢦⡿⣿⢿⡈⣦⣿⣧⢿⡿⣿⣿⠻⡉⣤⣿⣶⣴⣠⠁⠟⣷⣄⡥⣭⠀⠀⡟⣼⠀⡿⣿⠻⡯⣿⣀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣄⣶⣷⠻⣆⡻⣿⣿⣾⣶⣴⣤⣀⢀⠀⡀⣁⣛⣟⡶⣶⣤⣦⠀⠃⣿⢸⠀⣇⣸⣷⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠢⠉⠀⠀⠀⣄⣤⠶⠲⣇⠤⡒⠱⣉⣊⢀⠀⠀⠀⠀⠀⠀⠀⠤⣇⠹⠁⢌⠲⠛⢰⠀⡿⣿⢻⠀⣿⢸⡀⣿⣼⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢄⠲⠙⠉⠀⠀⠀⠀⢱⠊⡴⢀⠀⠤⡤⣤⠀⠀⠀⠀⠀⠀⠀⢧⠒⠒⠂⡜⠀⡟⣿⣀⣿⠸⡇⢰⠀⣴⢠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣄⠼⠢⠒⡒⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⡁⣀⣀⣄⢀⠏⣿⢰⠀⣆⢀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⡏⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠤⠤⠤⡭⢤⠤⠠⣀⣀⣤⣀⣀⣀⣤⣠⣀⣀⣀⣀⣀⣀⣀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁

⠀⣿⠀⠀⠀⠀⠀⠂⠛⠉⣞⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⢠⠀⠀⠀⠀⠀⠉⠉⠉⠉⠍⡭⣭⢩⣏⢻⠈⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⡋⣸⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⡗⣽⠚⠶⠤⡠⣀⣀⣀⣀⢀⠀⠀⡀⣀⣀⣀⣦⢹⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠁⡉⢧⠈⠀⠀⡈⢸⠀⠀⠀⠁⠿⣻⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢷⠈⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠁⡿⢻⠛⠛⠟⡿⣛⣜⢷⠘⠈⣿⢸⠁⠛⠟⣾⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠢⠙⠈⠀ ⢀⣿⠀⠀⠀⠀⡇⣸⠀⠀⠀⠀⡀⣀⣅⡿⢿⠿⣿⢿⣶⣤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢁ ⠁⢰⠀⠀⠀⠀⡇⠈⠀⠀⠋⠞⡴⣠⣀⣀⣄⣤⡗⣘⢳⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠟⣴ ⡤⠀⠀⠀⠀⠀⡁⢹⠁⡟⢠⠀⠀⠀⠀⠀⠀⠀⠀⢧⠈⡙⣉⠬⠢⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠒⠴⡤⣀⠀⠀ ⠀⠀⠀⠀⠀⡇⡏⣠⣷⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⣿⣿⠙⡀⢦⠙⠀⡀⣀⠄⠤⠤⠠⠀⠁⠉⠚⠖⡤⣀⣠⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⡇⣰⠀⠀⣄⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⣀⣦⣷⢻⠛⡟⠻⠞⠶⡾⣴⣀⣀⣄⣀⠀⠀⠀⠄⠽⠤⠲⠉⠀⠀⠀⠋⡴ ⠸⠀⠀⠀⠀⡇⠀⠀⠀⠁⣾⢀⠀⠀⠀⠀⠀⠀⠀⠃⠀⢦⠁⠉⡉⣿⣿⢉⣠⠀⠄⠀⠀⠀⠀⠀⠉⠉⠈⠀⠀⡀⢦⠙⡀⢆⠙⠟⢶⠠ ⠀⠀⠀⠀⠀⡇⢄⠻⡴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠾⠀⡟⣿⣰⣇⣿⣿⠻⠀⠀⠀⠀⠆⡽⣦⠒⠉⣀⣄⠤⠓⠈⡀⢿⠀⣇⣼⠀⠀ ⠀⠀⠀⠀⠀⡇⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⣴⢀⠂⠙⣍⣿⣿⡟⠤⠀⠛⠒⡙⢮⠈⡀⣧⠺⠙⠀⣀⠤⣷⠐⡇⢠⠀⠀ ⠀⠀⠀⠀⠀⡇⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢫⣰⠀⠀⠀⠀⡀⣄⣷⢨⠀⠀⡀⢣⠈⣆⣿⠙⠀⣤⣤⢶⠻⠈⡀⠞⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢰⠀⠀⠀⠀⠀⠀⠀⡁⢹⠀⠀⠀⠀⣄⠙⡀⣤⣠⢤⠦⠓⠈⢋⡯⡿⢰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣶⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣰⠀⠀⠀⠀⠀⠀⠀⠁⡰⣼⠙⠈⠀⠀⠀⡀⣀⢀⠄⠤⠯⠺⡴⣀⢎⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⠸⠀⠀⠀⠀⠀⠀⠀⠀⡟⣰⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⢠⡀⣄⠦⠓⠙⠉⠉⠛⠽⣫⠖⣧⣠⣀⠎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢈⡄⢹⠀⠀⠀⠀⠀⠀⠁⡟⢠⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⠀⠀⠀⠀⠀⠀⣆⣮⡙⣌⠠⠀⠿⡖⠾⠛⢈⠀⠀⠀⠘⠀

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⣿⢿⣿⡿⢿⠟⣟⠫⣟⢿⡿⣟⠻⢿⠿⡿⠿⠿⣛⠛⠻⢟⠻⡛⢿⣿⣟⡻⢻⣿⣿⠿⣛⡛⣟⡿⣿⣿⣿⢟⣝⡾⣹⢏⣯⡝⣯⣻⡭⢷ ⢎⡳⣌⠳⣌⢫⡔⣣⠜⡢⠱⣭⢛⠬⡓⠥⢃⠒⠠⢈⠐⠌⠠⠈⠄⠚⢿⣵⢃⡴⢌⢳⣡⢛⡾⣷⣿⠿⣿⡾⣹⢞⣭⢟⣶⣻⢷⢫⠓⣿ ⢏⠶⣩⠷⣌⠳⡜⡡⢎⠱⣡⠢⢌⠢⠑⡌⢠⠈⡐⠂⠀⠄⡁⠌⢀⠢⠠⠙⣎⠲⣍⠖⣻⣷⣼⣶⠏⡞⡽⢳⣽⣚⢧⣛⠶⣉⢦⢇⡇⡿ ⠊⢇⢃⠓⣌⠓⡌⠱⣈⠒⠄⢃⠄⢃⠡⠐⡀⠂⠀⠄⠁⠐⠀⠐⠀⢂⠑⡈⡐⢫⠤⡉⢒⢿⣿⡟⡸⢌⣳⣏⢶⢫⢗⣯⢾⡱⡞⢮⡑⣿ ⢣⠜⣀⠇⡘⠼⡀⢇⡀⢛⡘⠄⡘⠀⠄⢃⠠⢀⠃⠄⠘⡀⢃⠘⠠⠀⢄⠠⡀⠇⠄⢃⠘⡸⣿⢇⠣⡘⣿⣿⡜⢧⡜⡸⢟⡧⢿⡄⡇⣧ ⠌⠚⠤⢩⢐⠣⡉⠆⡜⢠⠂⡅⢂⠡⠊⡀⠂⠄⢂⠈⠄⠀⠠⠈⢄⠡⢂⠡⡘⠠⠌⡀⢂⠐⡁⠊⠄⠱⢸⢿⣿⣣⢎⡱⢋⠞⣧⣛⡖⣷ ⡘⠰⡁⠆⡌⢢⠑⡌⡰⢡⠘⣀⠂⡄⠡⢀⡁⠂⠄⡈⠄⡁⢂⠁⠢⠌⢄⠃⡌⡁⠆⡐⢀⠂⡄⠃⡌⢢⠑⡺⣿⣿⡧⣘⠡⢊⡔⣣⢗⣻ ⠠⡑⢌⠒⡌⢢⣱⣤⣷⣦⣷⣦⣷⣬⣣⡒⢬⡑⢎⡔⢢⢁⠆⡌⠱⣈⠢⢑⠰⠐⡌⢐⠂⠔⠠⢡⠐⢬⡘⣱⣽⣿⠗⡬⢌⠳⢎⡱⢋⣽ ⢠⠑⣌⣶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡚⡥⢊⡅⡊⠔⡈⠥⢀⠢⠁⢎⠡⡘⠠⠌⢂⡑⢢⡙⢦⡱⢣⡟⣼⣙⠶⣉⢞⡰⣡⣃⣿ ⣢⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔⠣⠐⡁⠎⠐⠠⢁⠂⢡⠈⠤⣁⠣⠘⡄⢪⡑⣎⢧⣝⣳⣽⣶⣿⣿⣿⣿⣿⣷⣧⣿ ⢿⣿⣻⣿⣿⣏⣽⣿⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠅⡐⠈⠄⠁⠂⡈⠄⠨⢀⠄⢂⠱⢌⢣⠹⡜⢾⣸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⢂⠠⢀⠀⠂⠁⠀⠠⠁⠀⠐⠈⠒⠌⢢⠣⡙⢦⣻⣿⣿⡿⢿⣿⣿⣿⣿⣿⣷⣻ ⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣉⠀⡀⠀⢀⠀⠀⠈⠀⠀⠰⠈⠀⠁⠎⡀⢁⠱⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠔⡡⢈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠟⠟⡛⢃⠀⠄⠀⡀⢀⠀⡀⢂⠐⡀⢂⠁⡀⠄⣀⠂⡜⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻ ⢧⣑⠧⡚⡴⢤⣉⡙⡛⡛⢛⠛⠛⠛⠉⠁⠀⡈⠄⣀⠀⡈⠀⠀⠐⠀⡀⢐⠠⣒⣼⣶⣻⣿⣶⣵⣮⡔⢡⠊⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠩⢌⠣⡑⡌⠒⠄⢉⠀⠈⣀⣤⣷⣦⡄⠀⠐⠀⠀⠀⠀⠀⠄⠀⠀⠺⣷⣦⣽⣿⣿⣼⡵⣎⣷⣽⣿⣿⣦⣅⢂⠉⡙⠿⠻⠿⢿⣿⣿⣻ ⢁⠎⡖⡩⠝⡄⠈⡀⣤⡿⡛⣍⠲⣸⣿⠀⠀⠈⠀⡀⠐⠀⠀⠂⠄⠁⠈⠉⠛⠻⢿⣿⣹⣿⣿⣿⣿⠿⡛⢁⠂⡐⠄⠠⠂⠄⠠⣤⣿⣽ ⢎⡜⡱⢍⡚⡔⣠⣿⢋⣶⠟⣂⠧⣿⡇⠀⠈⡀⠀⠀⠐⡀⢁⠠⡈⠤⢡⠈⠄⣁⠚⠷⣿⣿⠿⠟⡁⢂⠐⠤⢈⠐⡈⢁⠂⡘⠤⣋⢷⣻ ⠌⡘⢠⢳⡘⠴⡡⣾⠟⠁⠀⢻⣿⣿⠇⠀⠄⠠⢀⠂⡁⠐⡈⢀⠐⡀⢂⡌⡲⢄⡩⢲⠥⣏⡲⡐⡀⠆⡌⢠⠀⢊⠔⠡⢒⡡⢓⡌⡓⣿ ⠐⣀⠣⢖⡩⠖⠛⡁⠂⠠⠀⠄⠀⡀⠠⢀⠀⠡⡀⠆⡰⠡⡌⡅⢋⠍⠣⣌⠱⡌⡞⣥⣛⣿⢧⡱⡘⠴⡘⠤⡙⠤⣊⠔⡡⢌⢃⠒⡡⣟ ⠐⠈⡆⢡⠒⡌⠐⠀⡄⢡⠈⡄⠂⠀⠁⠂⡎⠑⢨⢰⠑⢳⣾⣼⣥⠚⢱⡌⣧⠙⣾⣵⣿⣿⣾⣵⠙⣦⠙⣦⢱⢢⡅⡎⢱⠊⡆⢣⡄⣯ ⠢⡑⠄⠂⡄⢠⠁⡀⠄⠠⠀⠄⡈⠤⢁⠢⡐⠤⣃⢎⡱⢣⢞⡻⣿⣿⣧⣽⣾⣿⣿⢿⡿⣹⢿⣿⣿⣮⡷⣌⡳⣜⢢⡙⢦⠚⡜⢦⡁⣧ ⡰⡐⢌⡑⠈⠄⢂⠀⠄⡁⢂⠐⠠⡁⠎⡰⢁⡚⢴⡊⣕⢣⢎⡱⢣⠞⣭⠫⣝⢣⢏⢮⡱⢋⠶⢬⡙⢿⣿⣷⣝⢮⣣⡝⣬⢛⡜⣢⠅⡷ ⠄⡱⢀⠢⡉⢆⠢⣌⠐⣀⠂⡉⠄⠡⢂⡑⢎⡜⡥⢓⡬⢎⡬⢱⢣⠹⣰⠙⢦⢩⠚⣦⡝⡭⢊⠥⡛⢦⡳⣝⡾⣣⢗⡞⣥⢫⡜⡱⢎⡗ ⠚⡐⠣⡑⠜⣂⠹⢄⠋⡔⢂⡁⠎⡑⠢⢜⠢⡜⡔⢫⠔⡣⢜⡡⢎⡱⢂⠏⣆⠣⡝⢦⡝⡲⣍⢞⡱⣣⢟⡼⣳⣟⣮⢿⣜⣧⢻⣱⣋⣞

⠀⠀⠀⠀⠀⠀⣏⢺⠒⠤⣀⢀⠉⠚⡴⣡⣟⣤⢳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⡞⣀⣷⣻⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡯⣠⠀⠒⠴⠤⣀⢀⠀⠀⣇⣸⠀⠀⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣠⠀⠀⠀⣵⣹⣄⢦⠄⠦⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠋⠖⣿⢉⠈⠀⠀⠀⠀⠀⠀⠀⠀⡟⢸⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠇⣼⢀⠀⠀⠀⠀⠀⣷⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠒⠴⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡇⠀⠀⡀⣄⢤⠳⠙⠈⠀⠀⠀⠀⣿⢹⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⡇⢧⠢⠒⠒⠒⠓⠙⠉⠉⠚⠒⠿⣭⣉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⡇⠀⠀⠀⠀⠀⠀⡀⣍⢯⠛⠴⠷⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡇⢸⠚⠐⠒⠒⠑⡉⣄⢦⣙⣀⢀⠀⠀⠀⠀⣀⢤⠦⠛⠒⠒⠒⠀⠀⠀ ⣀⣀⣤⠤⠴⠷⠛⠙⠉⡭⣀⡿⣿⠀⡇⣿⡜⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⣿⣀⡀⢄⠤⠲⡓⣍⠦⡙⢦⠘⠀⠀⠀⠀⠀⠀⠀⡀⣧⢙⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠀⠀⣀⣄⣦⡳⢹⡇⣸⢻⡄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢰⡾⣼⠀⠀⠀⠉⠀⠀⡀⢦⡙⢦⢙⠀⠀⠀⠀⠀⠀⠀⠀⡇⠹⣄⣠⣤⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣿⡄⠻⡀⢦⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣠⠏⢰⢸⠀⠁⡏⣠⢣⠈⠀⠀⡀⢧⡘⢳⠈⠀⠀⠀⠀⠀⠋⣽⠚⣒⠶⠤⠤ ⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⣯⢦⠳⠉⣀⢤⠢⠓⠉⠈⠀⠀⠀⠀⠀⠉⠞⣠⠁⠞⢠⠃⢻⠴⣠⢀⠀⠀⢧⠈⠀⠀⠀⣦⡘⢷⠀⠁⠊⠖⡤⣀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡎⢀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣼⡇⠠⠀⡀⣤⠦⠒⠙⠉⣈⠀⠀⠀⠀⠀⠁⠋⠴⣠⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢶⠞⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠖⢀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⢺⡛⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⣤⠦⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠖⡠⢀ ⢦⠒⠶⢽⠮⠒⠛⠉⠈⠀⠀⠀⠉⠞⣣⣴⠏⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠀⠀⠀⠀⠀⠀⠀⡟⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠉⠖⡤⣀⣸⠀⠀⠀ ⠀⠀⠀⠀⣀⣄⠦⡓⣿⣈⣤⣶⣻⠖⢠⠏⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢹⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠁⠿⣨⢀⠀⢦⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⠳⠙⠙⠳⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣴⣵⠳⠈⠀⠀⠀⠀⠀⠀⠀⢶⠉⠀⠀⠀⠉⠞⣷⠈⣀⣄⢤⠧⡿⢠⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣶⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣠⠀⡆⠛⢈⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⢀⠀⡀⢳⠀⠄⡤⣿⣸⢷⠈⠀⠃ ⣀⣄⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⡴⠀⠀⠀⠀⠀⣀⢤⠶⠶⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠁⠛⡿⢀⢻⡿⢸⠀⣾ ⠀⠀⠀⡀⢤⠲⠙⠈⠀⠀⠀⠀⠀⠀⠀⡀⢤⠳⠙⠉⠈⠀⠀⠀⠀⠀⠉⠉⠓⠾⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣶⣿⣿⠀⣽⢀⠉⡞⢳ ⠀⠀⠀⠀⠀⠀⠀⣀⣄⠤⠤⠦⠶⠒⠛⠶⠤⠤⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⡆⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠙⠀⠀⠀⠀⠀⠋⠼⠿⢿⢿⡌⢻⣽⡼⡏⣠⣀⢀⠟⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠈⠀⠀⠀⣸⠀⠀⣠⣷⣿⣤⣠⠋⣸⣀⣀⣇⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠙⠈⠀⢳⠀⠀⠀⡀⣷⠿⣾⣠⠁⠀⠀⡿⣾⢠ ⠀⠀⠀⠀⠀⠀⠀⠃⠛⠖⠴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣉⣄⡤⢷⠙⠀⠀⡆⣿⢠⠞⣠⠀⠃⣾⢰⠀ ⠀⠀⠀⠂⠒⠒⠖⡴⣤⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢷⠙⡀⣦⣽⠳⠈⣿⠏⢸⠀⠋⣼⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⢽⠷⡿⣻⣧⣿⣣⢸⡟⣠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣧⣸⣀⠀⠀⡇⢿⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀

⣤⡶⢶⣦⡀ ⠀⠀⠀⣴⡿⠟⠷⠆⣠⠋⠀⠀⠀⢸⣿ ⠀⠀⠀⣿⡄⠀⠀⠀⠈⠀⠀⠀⠀⣾⡿ ⠀⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⢀⣾⣿ ⠀⠀⠀⠀⠈⠻⣿⣷⣦⣀⣠⣾⡿ ⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⡿⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⢠⠏⡆⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣀⡀ ⠀⠀⠀⠀⠀⡟⢦⡀⠇⠀⠀⣀⠞⠀⠀⠘⡀⢀⡠⠚⣉⠤⠂⠀⠀⠀⠈⠙⢦⡀ ⠀⠀⠀⠀⠀⡇⠀⠉⠒⠊⠁⠀⠀⠀⠀⠀⠘⢧⠔⣉⠤⠒⠒⠉⠉⠀⠀⠀⠀⠹⣆ ⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⣤⠶⠶⢶⡄⠀⠀⠀⠀⢹⡆ ⠀⣀⠤⠒⠒⢺⠒⠀⠀⠀⠀⠀⠀⠀⠀⠤⠊⠀⢸⠀⡿⠀⡀⠀⣀⡟⠀⠀⠀⠀⢸⡇ ⠈⠀⠀⣠⠴⠚⢯⡀⠐⠒⠚⠉⠀⢶⠂⠀⣀⠜⠀⢿⡀⠉⠚⠉⠀⠀⠀⠀⣠⠟ ⠀⠠⠊⠀⠀⠀⠀⠙⠂⣴⠒⠒⣲⢔⠉⠉⣹⣞⣉⣈⠿⢦⣀⣀⣀⣠⡴⠟

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣏⣫⣤⣶⣿⡿⢟⡛⡒⠴⣡⢒⡱⢢⠜⢻⣿⣿⡾⣽⢯⣟⣯⣿⣿⣟⣷⣻⣿⣿⣿⣜⣻⢿⣯⣿⣿⣿⣿⣧⣿⣿⡿⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⡹⢿⣿⣽⡷⣿⡽⣯⢷⣻⣿⡽⣟⡷⢯⣛⡾⣿⣿⣿⣿⣿⣿⣦⣓⢌⢻⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⡿⠟⢫⡑⢎⡱⢌⠵⣊⠴⣩⠒⣥⢊⠥⣊⠿⣿⣯⣟⣾⣳⢯⣟⡾⣵⢫⣿⣿⣿⣿⣮⢿⣷⣻⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⢭⣿⣿⣿⣻⢿⣽⣯⣟⣯⣷⢿⣯⣟⣯⡽⣳⢯⣿⣾⢿⣿⣿⣿⣿⣮⢲⣽⣿⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠁⣠⣮⡑⠎⡴⢒⢎⠳⣌⠲⣡⢚⡴⣋⢦⡱⣎⡿⣿⣿⢾⣿⣿⣾⣽⣮⣳⠩⣿⣿⣿⣿⣻⣾⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⡿⣽⣯⢷⣻⣿⢯⣟⣿⣾⡿⣾⡽⣯⢿⡽⣯⣿⣿⡏⠉⠻⣿⣿⡇⣿⣿⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣀⣾⡟⢡⡘⢥⡙⡌⣂⢇⣦⢳⣵⡿⣾⢿⣾⡳⣝⣞⣳⢯⣟⣾⣳⢿⡿⣿⣿⡿⢼⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣷⢯⣿⣿⣿⣻⣯⣷⢿⣿⢯⣿⢯⣟⡽⣳⢿⣿⣿⣄⠀⠀⠛⣇⣿⣿⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⢉⡹⣌⠱⣘⢢⡙⢴⣩⣾⣷⣻⢮⣗⢯⣛⢶⡙⡞⡼⣭⣿⡿⢿⡝⢮⠓⡉⠀⠀⠀⠙⣿⣿⣟⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⡿⣿⣟⡿⣽⣷⣯⣿⣿⡻⣞⣿⣎⠷⣩⢟⣿⣿⣿⣦⠀⢠⣼⣿⡟⠰⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⢤⢻⢇⠓⡌⢦⣽⣶⣷⡿⣾⣽⣻⢾⣯⣟⡾⣽⣾⣿⡿⠉⠀⣀⣬⣶⣶⣶⣴⣦⣤⡀⠈⠙⠻⢿⣿⣻⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢻⣿⣿⣿⣿⠏⠰⢻⡝⢾⡹⣏⢟⢯⢳⡹⣾⣽⣏⣞⡱⢎⠽⡻⣿⣿⡔⣾⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡙⢆⡡⢎⡼⣼⣷⣿⣿⢿⡿⣯⡷⣟⡿⣾⣽⣻⣽⡿⠃⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀⠉⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡛⠿⠃⠀⠙⢶⠝⠮⣵⣎⠎⡤⢣⡝⣿⡿⣿⣯⡗⣯⡘⣷⢻⣿⣿⣿⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣀⢮⣽⣿⡿⣿⣟⡿⣞⣯⢟⡷⣻⢭⢷⣋⣾⡿⠋⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣾⣤⣀⠉⠻⢷⣧⡘⡱⢿⣹⣷⣿⡶⣿⣭⠀⠻⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⣿⣞⣿⣿⣽⣳⢯⡟⡝⢮⡙⢲⡑⢎⠦⣑⢺⡅⠀⠀⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠈⢿⣧⡱⣍⢞⣽⣿⣻⣽⣿⡁⠀⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠈⣿⣿⣟⠶⣍⢶⡘⣌⠒⣌⠳⢜⡊⢖⡡⢚⢿⣦⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣅⣸⣿⣿⣿⣿⣿⣿⣧⠀⠙⣿⣾⣹⣿⣿⣿⣿⣿⣥⢤⢾⣿⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⢸⣿⣿⢯⡝⣯⢻⣦⢷⣤⣋⣆⣍⠲⣌⠃⣆⢻⣧⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⢣⠎⣻⣿⡻⣜⢧⣛⠾⣼⡹⢿⣜⡳⣎⡵⣌⡞⣿⡆⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠉⠻⣿⣿⣿⣿⣟⡿⣿⣷⣼⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠈⠛⠛⠛⢿⣯⣎⢭⢻⣶⣯⣳⣮⣷⣽⣺⣵⣻⣿⣧⣶⣷⣤⠀⠉⠛⠻⠿⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⢀⣴⣿⡿⣿⣾⣿⠿⡿⣿⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠙⠻⠿⣶⣯⣭⣯⣽⣽⣷⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⣠⣾⣿⣿⣿⣿⣷⣿⣶⣷⠿⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⣿⣿⡟⢷⣯⡹⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⣾⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣾⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⢿⣿⣿⡿⠿⠛⠉⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢹⣿⣇⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠿⣿⣶⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣄⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢛⡉⢐⣿⡿⠿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⣼⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠀⠀⠀⠀⠀⠀⠀⠀⢸⣦⢿⣿⣾⣟⢿⣻⡿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣧⢈⠀⢻⣿⡿⠋⠀⠀⠀⢈⣤⣧⣘⡀⢀⠀⠀⠀⠀⢸⣿⣿⣿⡇⢻⣿⡆⠀⠀⠀⠹⣿⣧⠀⠀⠀ ⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢀⡛⠻⠿⠿⠿⣿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡘⠆⠀⣡⠄⠀⠀⠀⢰⣿⣿⡿⣿⣷⣬⣀⠀⠀⠀⠘⠿⠿⠿⠃⢼⣿⣷⡀⠀⠀⠀⣿⣿⣇⠀⠀ ⠀⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡉⢿⣿⣷⣾⡀⠀⠀⠀⠀⢦⣿⡿⢧⣛⣵⣻⢻⣿⣷⣀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣷⠀⠀⠀⠽⣿⠇⠀⠀ ⠀⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⡃⢿⠿⠋⠁⠀⠀⠀⠀⠘⢿⣿⣷⣽⣾⣽⣷⣾⡿⢿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⣿⣿⠀⠀ ⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣰⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠿⣿⠿⠟⠋⠁⠈⠀⠀⠀⠀⠀⠀⣀⣸⣿⣿⠀⠀⠀⠀⢸⣿⣇⠀ ⠀⠀⠻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣿⣿⡿⠀⠀⠀⠀⢸⣿⣿⠀ ⠀⠀⠀⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣡⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢼⣿⡟⠀⠁⠀⠀⠀⣾⣿⣿⡆ ⠀⠀⠀⠹⣿⣷⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡇ ⠀⠀⠀⠀⢹⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣯⣴⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⠁ ⠀⠀⠀⢀⣾⡿⠻⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡟⠀ ⠀⠀⣠⣿⡟⠁⠀⠈⠙⠿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡏⠀⠀ ⠀⢠⣿⠟⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⠀⠀⠀ ⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠿⢿⠶⡶⠶⡷⠾⠿⠟⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠃⠀⠀⠀ ⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⣀⣀⢀⠀⠀⠀⠀⡀⠀⢀⡀⣀⣀⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣠⣴⣿⣿⣿⠋⢀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⢧⣀⣀⣀⣀⣀⡰⠁⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⢸⡇⢸⣿⠀⣿⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠒⡾⠄⠀⠀⠉⠀⠉⠁⠈⠁⠀⠀⠀⠀⢀⡼⡤⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⠧⠄⠀⣿⣿⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⢀⣣⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢀⡇⠀⠀⠰⣶⠆⠀⣄⣧⣠⠀⠿⠗⠀⠀⠀⠀⠀⣆⠈⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣰⠒⠋⠑⢦⡀⡔⠉⠁⠹⡄⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢻⡀⠀⡄⠀⡭⣡⢠⢰⣆⢸⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣠⠵⣆⠓⠘⠞⠀⠃⢀⠼⣄⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠁⠠⠟⢦⡀⢠⠞⠉⠳⡀⠀⠃⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⠻⣶⣤⡶⢾⡿⠁⠀⢠⣄⡀⢀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⣀⣼⠷⠀⠀⠁⢀⣿⠃⠀⠀⢀⣿⣿⣿⣇⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⣾⣯⣅⣀⠀⠀⠀⠈⢻⣦⡀⠒⠻⠿⣿⡿⠿⠓⠂⠀⠀⢂⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢻⡇⣤⣾⣿⣷⣿⣿⣤⠀⠀⣿⠁⠀⠀⠀⢀⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡿⠏⠀⢀⠀⠀⠿⣶⣤⣤⣤⣄⣀⣴⣿⡿⢻⣿⡆⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠁⠀⢀⣼⠀⠀⠀⠹⣿⣟⠿⠿⠿⡿⠋⠀⠘⣿⣇⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣶⣶⣿⣿⣇⣀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠛⠿⣿⣦⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠿⠋⠁⠀⣹⣿⠳⠀⠀⠀⠀⠀⠀⢀⣠⣽⣿⡿⠟⠃ ⠀⠀⠀⠈⠀⢰⠿⠛⠻⢿⡇⠀⠀⠀⣰⣿⠏⠀⠀⢀⠀⠀⠁⣾⣿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⣰⣿⣿⣾⣿⠿⢿⣷⣀⢀⣿⡇⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠋⠉⠁⠀⠀⠀⠀⠙⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ 𐙚 -`♡´-˙✧˖°📷 ༘ ⋆｡˚˙✧˖°📷 ༘ ⋆｡˚˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆˚‧｡⋆🌻⋆｡‧˚⛷🧚‍♀️🛖

⢀⡠⠒⠈⠉⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠢⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠈⠑⢄⠀⠀⠀⢀⡠⠒⠈⠉⡹⠋⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠑⢄⡰⠁⠀⠀⠀⣰⣁⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠠⠬⠭⠒⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀:⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⢀⡀⠤⢤⣤⣤⣤⡤⠀⠀⠀⣤⣤⣤⠄⣀⠀⠜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠭⣉⠉⠉⠀⠀⡅⠀⠘⣿⣿⣿⡇⠀⠀⠀⣿⣿⣿⠀⡸⠘⣪⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠁⠀⢀⣬⠔⠀⠙⠿⠟⠁⠀.⠤⠘⠿⠃⠠⠵⠂⠀⢃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⠤⠤⣀⠀⠀⠠⣀⣀⡀⠀⠀⠀⠀⠀⢀⠤⠂⠒⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⠤⠄⣀⣀⣁⠠⠤⠐⠊⠁⠀⠀⢀⠀⡧⣧⣤⡜⡏ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⡆⠀⣠⡴⠁⢠⡄⠄⠒⠒⠂⠤⠤⠴⠀⠀⠀⣘⣄⠀⢀⡀⠀⠐⠂⠊⠑⠒⠒⠊⠁ ⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⢇⡜⠀⡇⢠⡏⠀⠀⠀⠀⡀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠈⠙⡔⠢⡀ ⠀⠀⠀⠀⠀⢴⠀⢸⠀⠀⠀⠉⠀⠈⢲⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⢔⠀⠀⠀⠀⢝⡕⠄⣀⠈⡄ ⠀⠀⠀⠀⢰⠈⢢⡘⡀⠀⠀⠀⠀⠀⢠⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡀⠀⠀⠀⠈⠀⠀⠈⠑⢄ ⠀⠀⠀⠀⠈⡄⠀⠈⠈⠀⠀⠀⠀⠀⡀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣ ⠀⠀⠀⠀⠀⠐⢄⡠⠀⠀⠀⠀⠀⢀⠇⠀⡇⣠⣴⣤⣄⡀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⠀⠀⠀⠀⠀⠀⡄⢸⠀⠀⠀⠀⠀⣘⣀⠀⢣⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿ ⠀⠀⠀⠀⠀⠀⢋⠪⠆⣀⠔⠊⠉⠀⠀⠀⠈⢿⣿⣿⣿⣿⡇⠀⠀⠀⢀⠜⢄⠀⠀⠀⠀⠀⠀⣾⣿⣿⠏⠢⢄ ⠀⠀⠀⠀⣀⠠⠚⠒⠊⠀⠀⠀⠀⠀⠀⢀⠠⢊⠏⠛⠿⠯⠥⠤⠔⠊⠁⠀⠆⠁⠒⠠⢤⠤⠔⣛⠉⠀⠉⠒⠒⠄⡀ ⠀⠀⠀⡐⢀⣀⠀⠀⠀⣄⠤⠐⠂⠉⠉⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠈⠀⠈⠉⠐⠢⢄⢀⡀⠠⣈ ⠀⠀⠘⠒⠱⠀⢀⠀⢠⠁⠑⠢⢀⠔⠊⠁⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⡇⠢⠀⠀⠀⠈⢆⢀⡸. ⠀⠀⠀⠀⢣⢤⣀⡀⡌⠀⠀⡔⠁⠀⠀⠀⠀⠀⠑⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠑⢄⠀⠈⣹⡅⡪⣪ ⠀⠀⠀⢠⡢⢃⢟⠰⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠈⢢⠀ ⠉⠈⠘ ⠀⠀⠀⠈⠵⠅⠊⠁⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⡐⠃⠀⠀⠀⠀⠀⠀⢣ ⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⢇ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⢀⢜⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢓⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜

╭━━━╮┈┈╱╲┈┈┈╱╲ ┃╭━━╯┈┈▏▔▔▔▔▔▏ ┃╰━━━━━▏╭▆┊╭▆▕ ╰┫╯╯╯╯╯▏╰╯▼╰╯▕ ┈┃╯╯╯╯╯▏╰━┻━╯▕ ┈╰┓┏┳━┓┏┳┳━━━━╯ ┈┈┃┃┃┈┃┃┃┃┈┈┈┈ ┈┈┗┻┛┈┗┛┗┛┈┈┈┈

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⠚⡄⢫⠉⢩⠃⠀⣰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠠⡞⠳⡜⠦⠚⠘⠒⠋⠀⢰⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠚⠁⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣤⣄⣀⡀⣠⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⠉⠉⢰⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠟⠛⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⡇⠀⡰⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠃⠀⠀⢰⡆⢻⣿⣿⣿⣿⣿⡿⠛⠛⠻⣿⣿⣿⣿⠀⠀⠀⠀⢰⠁⡰⠁⠀⠀ ⠀⠀⠀⠀⣶⣦⣤⠘⣿⣿⣆⠀⠀⢿⠇⣼⣿⣿⣿⣿⠛⢸⡇⠀⠀⠙⣿⣿⣿⣇⠀⠀⠀⠈⠒⠁⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣁⠀⠻⣿⣿⣷⣦⣤⣶⣿⣿⣿⣿⣇⡀⣾⠃⠀⠀⢠⣿⣿⣿⡇⠀⡔⠒⠲⡄⠀⠀⠀⠀ ⠀⠀⠀⠘⠛⠋⠉⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣤⣴⣾⣿⣿⠟⠀⠀⠱⠤⣀⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⢀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⣀⡀⠀⠉⠙⠓⠀⠀⠀⠀⠀⠀⠀ ⠀⡗⡤⡲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣫⢸⢷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⢀⣀⣀⣠⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠛⠛⠋⠉⠉⠛⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⢀⣀⡤⣤⢤⡤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⣀⣤⣶⠿⠛⠋⠁⠁⠀⠀⠀⠉⠛⣯⣳⡀⠀⠀⠀⠀⠀⠀⢠⡿⠃ ⠀⣠⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡻⣿⠀⠀⠀⠀⠀⣠⡿⠃⠀ ⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠉⢹⡆⠀⠀⢸⣿⠀⠀⠀⠀⢠⡿⠁⠀⠀ ⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠈⠀⠀⢀⣮⠏⠀⠀⠀⠀⠘⣷⡀⠀⠀ ⠀⠙⠿⣶⣤⣀⠀⠀⠀⠀⠈⠻⢦⣤⣤⣤⡶⠟⠁⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀ ⠀⠀⠀⠀⠉⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣤⣤⣄⣀⣀⣤⡿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠈⠉⠉⠙⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣰⡿⠿⠿⣷⣦⣠⣤⣾⠟⠛⠳⣦ ⡏⢀⢀⣠⣶⠟⣹⣿⠷⣦⡀⢀⢘⡇ ⢣⣤⣴⠿⠃⢀⡿⢿⡆⠈⠻⠿⠟⠁ ⠀⠀ ⠀⠀ ⣠⠃⠈⠳⡄ ⠀⠀ ⣰⡟⠁ ⠀⠀ ⣸ ⠀⠀⢰⡏ ⠀⠀⠀ ⢠⡟ ⠀⠀⠘⣇ ⠀⠀⠀ ⢸⡇ ⠀⠀ ⢿ ⠀⠀⠀⠀⠈⢷⡀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠋⠈⠻⣮⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⡿⠋⠀⠀⠀⠀⠙⣿⣿⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⠿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣠⣤⣤⣀⡀⠀⠀⣀⣴⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣄⠀⠀ ⢀⣤⣾⡿⠟⠛⠛⢿⣿⣶⣾⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣷⣦⣀⣀⣤⣶⣿⡿⠿⢿⣿⡀⠀ ⣿⣿⠏⠀⢰⡆⠀⠀⠉⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⡿⠟⠋⠁⠀⠀⢸⣿⠇⠀ ⣿⡟⠀⣀⠈⣀⡀⠒⠃⠀⠙⣿⡆⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀ ⣿⡇⠀⠛⢠⡋⢙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀ ⣿⣧⠀⠀⠀⠓⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠋⠀⠀⢸⣧⣤⣤⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡿⠀⠀ ⣿⣿⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠻⣷⣶⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠁⠀⠀ ⠈⠛⠻⠿⢿⣿⣷⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠿⢿⣿⣷⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠿⢿⣿⣷⣶⣦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⣿⣷⣶⣶⣤⣤⣀⡀⠀⠀⠀⢀⣴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⣿⣷⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣹ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⢸⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣆⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣾⣿⣿⣿⣿⣤⣄⣀⡀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣻⣷⣶⣾⣿⣿⡿⢯⣛⣛⡋⠁⠀⠀⠉⠙⠛⠛⠿⣿⣿⡷⣶⣿

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠘⠀⣆⠘⠀⠀⠁⠛⠰⠀⠀⠀⠀⠋⠚⡶⣷⣿⣿⣿⣿⣿⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠈⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⠀⢧⠈⠀⠀⠀⠀⠀⠁⠞⣴⢀⠀⠀⡀⣷⣿⣿⣿⣼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⡛⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢿⠀⡀⢷⠈⠀⠀⠀⠁⡼⢀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⠤ ⠀⠃⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠋⠟⡴⣠⢀⠀⡆⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢸⠀⡄⢻⠈⠀⠁⣼⠀⠀⠀⠀⠀⠀⠉⠟⡶⣤⣀⠀⠀ ⠀⡆⠈⣄⠦⠙⡄⣷⣿⣬⣤⣀⣀⣀⢁⠋⠚⠄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠀⠀⣆⣼⢧⡿⠛⠸⠁⠋⠛⠴⣤⣉⠚⠴⣤⢀⠀⠀ ⠀⠀⢷⠙⠀⡀⢤⡶⣘⢦⠓⠉⠈⠀⡠⢀⠁⠉⠛⠛⠞⣷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠠⣇⠉⣾⣠⢀⠉⠖⡤⢀⠀⠀⠀⠀⠀⠀ ⠉⠋⡚⣶⠶⠒⠒⠀⠁⠉⠛⡴⣥⣯⣴⣤⣀⣀⣀⠀⠀⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⡏⣰⠉⠚⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣗⠛⠉⠀⠀⠀⠉⠛⡴⣀⠁⠟⣴⠀⠀⡄⢤⠶⠙⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⣸⡄⣀⠀⠀⠀⠀⠀⠀⠉⠚⡴⣻⢀⠀ ⠀⠀⣋⣙⣈⣀⢀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠹⠀⠋⠐⢧⠊⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⡇⢸⠀⠀⠂⠴⢡⠋⠞⡤⣀⠀⠀⡇⠀⠀ ⠀⠇⢀⠀⣆⠾⠒⡛⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠞⢠⠀⠀⢦⡜⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠰⠀⠀⠇⢠⡀⢲⠋⠛⠿⡽⣪⢖⠤⠤⠤⠶⠙⡇⠀⠀ ⠀⡼⠀⠀⠀⠀⠀⡟⣤⠱⠈⠀⠀⠀⠀⠀⠀⠀⠏⣰⠀⠀⠀⠀⠀⣄⡳⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣸⠀⠀⠃⣸⠁⠋⠛⡿⣶⣠⢀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀ ⡆⣿⠿⠸⠀⠀⠀⣧⠈⠀⣄⠦⠓⠉⠀⠀⠉⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⣠⠀⠁⠟⣶⣤⣋⡾⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀ ⠀⣇⣿⢠⠀⢦⠙⡇⢠⠀⠀⠀⠀⡀⣀⢤⡶⠙⠀⠀⠀⠀⠀⠀⠀⠁⠛⠞⣶⣶⠶⠙⠈⠀⠀⠀⠀⠀⠀⠖⣠⢁⠋⠞⣠⢀⠃⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡾⢀⠀⠀ ⠇⡀⢀⠄⠀⠃⣄⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⡤⣤⣳⠙⠀⠾⠶⡤⣀⠀⠀⠀⠁⠞⣤⣳⣦⣤⢶⡽⣭⣭⣬⣤⣦⣳⠈⠀⠇⣠⠀⠀⠀⠀⠀⠀⠁⠞⣤⣁⠐⠀⠃⣾⢀⠀⠀⠀ ⡀⢿⠘⠀⠀⡀⢣⠉⢿⠉⠉⠀⠀⠀⠂⠙⠀⠀⠀⠀⣤⢻⠀⠀⠀⠀⠀⠁⠟⣼⢀⠀⡀⣦⠷⠻⡈⣀⠀⣀⢦⠙⠀⡀⢦⡘⠀⠀⠀⠀⠀⠀⠀⣠⠁⠞⣠⠁⠎⣷⠀⠀⠀⠀⠀ ⠀⣇⢹⠀⠀⠀⠀⣀⠀⠀⣇⢿⠈⠀⠀⣇⠻⠉⠉⠋⡼⢀⠀⠁⠉⠛⡿⣿⣰⠀⠀⠀⠀⠀⠀⣄⢹⠀⠀⠀⠀⡀⢦⠙⠀⣄⢦⠳⠉⠀⠀⠀⠀⠁⣋⠛⠿⣠⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⣾⠳⠈⠃⠉⠉⠚⠲⡗⣼⣀⢤⠶⣠⠀⠀⡞⣀⣀⣀⣆⣘⣀⣆⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⣷⠈⠀⠀⠀⠀⠀⡀⣄⠲⠒⠛⡉⣉⣉⣋⣒⣖⡤⣀⠀⠀⠀⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣄⣶⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠀⠀⠀⠀⠈⠀⠀⣆⢸⠀⠀⠀⠀⠀⠀⠀⠀⡄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢠⠀⠀⠀⠀⠀

.　 +⠀ ⠀ ⠀˚⠀ ⣴⠟⠉⠉⠛⢦⡀⢀⣴⠛⠉⠈⠙⠻⣄ ⠀⠀⣼⠃⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠹⣦ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡆ ⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃ ⠀⠀⠀⠀⠀⠻⢦⣄⠀⠀⠀⠀⠀⣠⡴⠛ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⠶⠋ ⠀⠀⠀+. *

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠟⣿⢿⣿⣿⣿⣿⣿⣿⣿⢸⣦⣿⣿⢿⠛⡍⠻⠼⠸⠟⠸⣟⠘⣾⠻⠀⠀⠁⠉⠉⠏⣰⠀⠀⠀⡟⠛⠖⡤⣥⢞⣴⣀⣀⡀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣽⣿⣿⣿⣿⣿⣿⣾⣴⣤⢀⠀⣿⣿⣿⣿⣿⣿⣿⢹⠋⣶⣿⠻⢻⡟⢻⠀⣇⠘⠀⣀⢦⠻⠈⠀⣽⠉⠚⡶⣲⠛⠈⠋⡴⣄⠳⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⣶⣴⣤⣀⢀⠁⠋⡾⢠⠀⡟⣿⣿⣿⣶⣶⣤⣤⣧⢈⠀⣼⠀⠀⠀⣄⢳⡏⣾⠙⠀⠀⡄⢷⠞⣠⢀⠀⠀⠀⠉⡾⢀⠀⢠⡀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣸⢀⠀⠀⠀⠀⠋⣿⣿⣴⢀⡞⣤⣀⢀⠀⠀⠀⠀⠀⠀⢦⠙⣆⠘⠀⠀⠀⠀⣇⢸⣶⠙⠀⠀⡇⢈⠀⠀⠀⠁⠞⣀⢸⠈⠀⠀⠏⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠘⠀⠉⠊⡴⣤⣀⠉⠞⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣟⠻⡟⠿⠤⣤⣤⡿⢠⠀⠀⠀⠀⡞⢷⠉⠚⡴⣀⠀⠀⠀⠀⠋⡶⢳⠀⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢡⠟⡿⣶⣶⠶⠶⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⡜⡿⢸⡀⣦⠳⠋⢸⠀⠀⠀⠋⡴⢋⣴⣀⠀⠀⠀⠀⠀⠋⡰⢀⠀⡀⠸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣶⣢⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢨⣰⢤⠀⠀⠀⣇⢿⠛⠛⠛⠛⡾⢠⠀⠀⠀⠀⠋⠖⡤⢀⢀⠀⠀⠃⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⡴⢉⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠙⠰⠀⠀⠁⡿⢾⠶⣿⢹⡼⢀⠀⠀⠋⠴⣠⢀⠀⠀⠀⠀⠁⠟⣴⠀⠀ ⠻⠙⠈⠀⠀⠁⠋⠛⠿⣴⢁⠴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢷⠻⠿⣭⣯⣿⢿⣿⣿⠀⠀⠀⠃⣰⠀⠀⠀⠀⠀⠁⠟⣹⠈⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣴⢀⠏⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣶⣶⣶⣶⢰⡄⠦⠙⠉⣏⠈⠀⠀⠀⠁⠟⣿⣰⠀⣷⠈⠀⠀ ⣠⠋⣿⣿⣿⣿⢰⠁⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⢹⠁⠋⠖⣠⢃⣰⠀⠀⡀⢸⠀⠀ ⣯⣿⣿⣿⣿⣸⠀⡅⠛⠾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠙⠀⠀⠋⣴⠀⠀⠀⡏⢺⠙⠀ ⣿⣿⣿⣿⣻⠞⡶⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣤⣧⢠⠀⠀⠀⡇⣀⢰⠀⠀ ⣿⣿⣾⣴⢀⠁⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⢀⠀⠁⠟⣤ ⣼⣠⠀⠀⠟⣴⠀⠀⠀⠀⠀⠀⠀⠀⠓⠿⡭⢭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⢻⠉⠀⠁⠋⠞⡷⣿⢸⠀ ⢈⢀⠁⡿⢠⠀⠀⠀⠀⠋⡾⠶⠤⣠⣀⠁⠉⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⡇⣠⠀⠀ ⠀⠏⣴⠀⠀⠁⠋⠟⡾⣀⠀⠀⠁⠟⡾⣴⣉⢯⠻⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀ ⡟⢠⡤⡤⣦⣷⣿⣿⢿⠻⠛⠛⣿⣾⢀⡀⣿⣍⣿⣧⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠈⠀⠀ ⢀⠀⠁⠋⠐⠉⡉⣭⣿⣿⣿⣿⣿⣿⢿⡿⣿⣉⣍⣿⣿⣻⣿⢸⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠒⠶⠤⠀⠁⠈⠀⠀⡇⣿⠻⠉ ⠃⠟⣴⢀⠀⠀⡀⣀⣀⣀⣤⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠿⣿⣾⢿⠭⠀⡟⣿⣿⣿ ⣯⢠⠀⠃⠈⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⣒⣭⣭⣾⣶⣶⣶⣶⢰⠁⠉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠈⠀⠤⣲⣒⠓⠈⠀⠀⡀⣿⢶⣿⣿⣿⣿ ⢀⠀⠀⠀⢄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄⠤⠤⠷⠾⣶⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⣿⣉⣍⣭⣬⣷⠿⠈⡀⢦⠻⢀⠦⣟⢸⡀⣧⣿⣿ ⠈⠀⠀⠀⠀⠀⣦⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡿⣿⣿⣿⣷⣿⣿⣉⣿⠘⠀⡄⢻⠁⣻⢻⠀⠀⣧⣺ ⢸⠀⠀⠀⠀⠀⠀⠀⣄⣷⠿⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠹⣦⣿⣿⣻⠉⣏⣿⣿⣿⢻⠀⠀⣧⢻⠀⡇⠨⠀⡀⢿ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠿⠻⠙⠈⠀⠁⠋⠟⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢻⣀⣦⣿⣿⣿⣿⣿⣿⣿⢿⠿⣿⣿⠻⡏⢸⠀⠀⡇ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣦⣶⣿⠿⡿⢿⠙⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⠲⠙⣉⣦⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⢹⠀⠀⡇ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣄⢦⣤⣦⢷⠻⠿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⠄⠤⠤⠠⣀⣼⠳⣁⣾⣶⢿⠘⡆ ⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣆⣾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⣿⢸⠀⡇⢘⠀ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠋⠒⠒⠒⠴⠤⠤⠭⣾⣴⢠⠀⠀⠀⠁⠋⡴⠏⠹⠀⠀⠀⠀⠉⠛⠿⠉⡟⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇⢸⠈⡏⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠁⠉⠚⠶⠤⣠⣀⢀⠀⠀⠀⠀⠉⠞⡤⢀⠀⠀⠉⠋⠖⡤⣏⣠⠋⣰⡄⢳⠀⠀⠀⣀⣀⣀⣀⣤⣦⣶⣷⠿⠿⠿⠿⠿⠾⠶⠶⠶⡧⣠⣸⣀⢻⢸⣿⠀⠀ ⡇⠀⠀⠀⠀⠋⠚⡤⣤⢀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣴⢠⠀⠁⠋⠔⣤⢀⠀⠀⠞⢠⡟⣼⠀⠀⡄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⠀⢠⠀⣇⢁⣿⠀⠀ ⡐⠀⠉⠗⣶⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣴⢀⠁⠞⡴⣀⠀⠀⠀⠀⠀⡟⢋⡿⣽⠀⠀⠀⠀⡄⠸⣄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⢠⡏⠀⠀⡇⡟⣸⠀⠂ ⠛⠴⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣼⢠⠋⡴⣀⠀⠀⠀⠀⠀⠀⠀⡞⣞⣡⣿⣿⠀⠀⠀⠀⠀⣿⠀⣧⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣸⠀⢸⠀⠀⡇⣿⠀⠀⠏ ⢰⠀⠀⠤⠤⠲⠓⠉⠀⠀⠀⠀⠋⣿⣹⠞⣠⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣿⢟⡾⣤⣧⠸⠀⠀⠀⠀⣿⢸⡇⡄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⣼⠀⠏⠀⠀⠀⣿⢰⠀⡞⣠ ⠀⠀⠀⠀⠀⠀⠀⣀⢿⠳⠋⡿⣿⣶⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣡⡿⣵⢯⠙⣦⠙⠈⠀⠀⠀⣿⣿⣼⠀⣆⠘⠀⠀⠃⠘⠀⠀⠀⠀⠁⡿⣟⢀⠀⠀⠀⠀⡇⣸⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣈⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢣⡿⣠⣾⣟⣀⢤⡲⢾⠀⠀⠀⢸⣿⢸⠀⠀⢿⠀⠀⡞⣧⠀⠀⠀⠀⡿⣟⢠⠀⠀⠀⠀⠃⣸⠀⠉⠋⡽⣩ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠟⣧⢿⡼⢀⡏⢏⢰⠀⠀⠀⠀⠀⠀⠀⢹⣿⢀⠀⠀⣿⠀⡏⢠⡄⢸⠀⠁⡞⣠⣀⠀⠀⠁⠋⠞⡴⣤⣀⣀⢀⣀⣀

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⠀⠀⠀⠀⠀⠀⡀⣄⢦⠛⢈⣏⠻⡟⠭⢻⠉⠙⣉⠤⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⡀⠁⠋⠖⣩⢛⠟⠴⣤⣀⣅⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀ ⠠⠀⠀⠀⠀⠀⠃⠛⠙⡏⣶⣶⠙⡝⢤⣤⣤⠤⡦⣶⣶⠶⠶⡶⣿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠾⠴⠤⢧⣿⣾⣶⣴⣤⣠⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢠⠀ ⣄⢿⠿⡿⣿⣽⢀⣧⣿⣽⠮⠛⣿⣼⠲⠙⠈⠀⠀⠀⠀⠀⠀⠁⠚⡀⣄⢦⡛⣉⣤⣦⣶⣿⣭⢉⠟⡽⣩⣈⢁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀ ⡄⢀⣀⣤⣼⢆⣻⣿⣿⣿⣸⣤⣦⣷⣾⡶⣿⠿⠙⠀⠀⠀⠁⡼⠀⠀⠀⠀⠁⣉⣙⣭⠿⠿⡲⣙⡿⣻⠛⠜⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡞⢀⠉⠀ ⠀⠄⠻⠀⢸⠀⣷⢧⡿⣿⣽⠳⠈⡀⢦⠘⠀⣦⣿⢻⠀⠃⣰⠀⠀⠀⠁⠍⣫⠛⠉⠉⠀⡀⣄⡶⣶⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⣱⠋⡴⢀⠉ ⠀⠀⣇⢿⢛⠀⠃⡀⣿⣿⣿⡻⣿⠹⠀⣿⢸⠀⡆⣿⠀⣀⠀⠀⠀⠁⡟⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠶⡤⣀⠀⠀⠀⠁⠾⣠ ⠀⠀⡇⡀⣦⢹⠀⠀⡂⣷⣿⣿⣿⣿⠿⣿⣿⠉⠀⣿⠀⠸⠀⠀⠋⣿⣿⣿⣤⣠⣀⠀⠀⠀⣀⣀⣀⢤⠲⠒⠀⠀⠀⠀⠀⠀⠀⠀⠛⠷⡿⣩⣀⢉⣭⢀⠀⠀⠀⠁⠋⠖⣠⠀⠀ ⠀⠀⠀⠀⠏⣿⢳⠙⠀⠀⣄⣿⣿⣿⣿⣿⣿⣽⢀⣿⠀⢧⠁⠏⣿⣿⣿⣤⡤⣋⣀⣀⣀⢄⠤⠤⠤⠲⠓⠛⠛⠛⠘⠀⠀⠀⠀⠀⠃⡟⣿⣘⢧⠙⣀⣀⢤⠧⣬⣾⠹⠀⠀⠀⠀ ⠀⠀⠀⠆⣿⣿⠰⣆⠉⡀⠹⡀⣿⣿⣿⣿⣿⣿⠀⣿⠀⡿⡟⣿⣾⣠⢀⠀⠀⡠⢄⠵⠿⠴⣤⣀⣋⣾⣶⢀⠀⠀⠋⣗⣿⣿⣸⣆⣿⡟⣿⢿⠀⣧⢻⠀⠀⠀⢆⣇⣇⠘⠀⠀⠀ ⠀⠀⠀⠀⣧⣿⢹⠛⠛⠛⡟⢿⡞⣷⣼⣾⣿⣰⠀⣤⡦⣿⣾⣠⠀⠀⠀⠀⠁⢡⢟⣰⢀⠀⠐⡤⣉⠚⠒⠴⡤⣤⢀⠘⡀⣷⣿⡿⣿⣿⣿⣿⠀⠳⣽⠸⠀⠀⠀⣿⡟⢿⠀⠀⠀ ⠀⠀⠀⠀⡀⣧⣿⣿⣼⣷⣿⣿⢻⡿⢋⣿⢹⠉⠉⠉⠉⣼⠀⠀⠀⠀⠀⠀⠀⡿⣸⠀⠀⠋⠔⣡⣿⣿⠈⠀⠀⠀⠀⠤⠲⠙⣏⣿⣿⣿⣿⣿⠘⡇⡏⣿⠀⠀⠁⣿⢸⣾⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⣿⣿⣿⡏⣽⣿⣿⣾⣿⣶⣿⣿⣾⣣⣷⢸⠀⠀⠀⠀⠉⠈⡇⣿⠃⠶⣠⠀⠁⡿⣿⣿⢿⠈⠀⠀⠀⠀⠀⠀⣦⣿⣯⣿⣿⣿⢹⣿⣸⣿⢸⠁⡿⣴⡇⢰⠀⠀⠉ ⢿⠈⠀⠀⠀⠀⡄⣼⣿⣿⣿⣿⣿⢸⢹⠀⡏⣿⢠⡿⣼⠀⠀⠃⠕⡨⣀⠀⡆⣿⠛⠉⠛⠿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⡀⣤⣠⣧⣿⣤⣦⣿⣿⢿⡟⣼⠀⡴⠋⠚⡤⣤ ⣿⢿⠘⠀⠀⠀⠀⢿⣟⣿⣿⣿⢼⢘⣿⣤⣦⢠⡞⣿⢠⠁⠋⡾⣠⣀⠀⠀⠃⣶⣷⣿⣿⣿⣶⣴⣤⣩⣎⢲⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡄⣿⢹⠈⣧⣿⣿⣷⠐⠃⡾⣀⠀⠀⠀ ⣿⡀⣧⠹⠀⠀⠀⣦⣿⣿⣿⣿⢈⣿⢩⠘⠀⡏⣯⣾⠟⣷⣿⢀⠀⠀⠀⠀⠀⠸⠀⠀⣀⣄⣤⣤⣀⢀⠀⠀⠀⠀⠀⠀⠀⡀⢢⠙⣇⣿⣿⣺⣆⣿⣿⣿⣿⣿⠛⣰⠀⠀⠀⠀⠀ ⣿⠈⡄⣿⠹⡄⠈⠀⠃⡆⣿⣿⢸⣠⣆⣸⠃⣷⣿⢿⢰⡟⣰⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⡉⣿⣿⣿⢿⠿⣿⡿⣿⣿⡿⣿⢿⠘⠀⠀⠀⠀ ⣿⢸⠀⡆⣿⠹⠀⠀⠀⠀⣆⣿⢸⠇⠀⢿⡿⣼⡇⣿⡟⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠋⠛⠛⠛⠟⠿⣶⣶⣶⣤⣤⣧⣿⢀⠀⡖⣷⣿⣿⣿⣿⣿⢹⣿⡄⣿⠘⠀⠀⠀ ⣿⣿⠀⠀⣧⣿⠘⠂⠀⠀⠀⣧⣿⡌⠀⣧⣿⠀⡇⣿⢹⠋⠛⠛⠛⠟⠿⠿⠿⡿⣿⣿⣿⣶⣤⣷⣿⣠⣀⣀⠉⠋⠀⠀⠀⠀⡤⣤⠀⠀⠉⡏⣿⣿⣿⣿⣿⣿⣿⠀⡇⣿⠀⠀⠀ ⡈⣷⢹⠀⠀⣷⣿⠫⠀⠀⠀⠀⣷⢹⠀⣿⣾⠀⡀⣿⣿⣿⣿⣶⣷⣿⣾⣠⣀⣐⠀⡇⣿⠀⠀⠀⣦⠐⠀⡇⣴⣀⠀⠁⠈⠀⠃⠿⠘⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⠀⡀⣿⠸⠸⠀ ⢉⠛⣞⢿⠙⡄⣿⢻⠀⢠⠀⠀⡄⣻⠀⣧⠸⠀⠃⣿⣾⢀⠀⠀⡀⣀⢀⠀⠏⠸⠀⡇⣿⠀⠀⠙⠀⠀⠀⠇⡾⢰⠀⡀⢠⠀⡇⣿⢻⠛⡟⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⢹⢸⠀ ⣷⣘⠅⠀⢀⠘⡀⣿⢱⠀⠀⠀⠀⣇⠸⡇⣿⡿⣤⣤⢠⠀⠀⠀⠁⡿⢚⠃⡿⢰⠀⡆⣴⠀⠀⣿⠻⠈⠉⠉⠋⠛⠿⠿⣿⣿⣿⣽⣩⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡆⡇⣿⠈⠀ ⠀⠀⠤⠤⢁⠨⠂⡀⡰⠐⠃⠀⠀⡀⣿⡏⣶⣷⢳⠛⡟⠀⠀⠛⡬⢠⠀⣿⢁⠉⠉⠋⠛⠛⠿⣿⣿⣿⣷⣿⣴⣯⣿⢹⠁⣿⣿⣿⠈⢳⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⠿⡿⣼⢸⠀ ⠶⠶⠶⠶⠷⣿⠻⣹⠈⠀⠀⠡⠱⠈⡆⣹⡀⠀⣿⣿⣿⠉⠋⡟⢿⠿⡿⣿⣿⣿⣾⣶⣿⣴⣠⣣⢘⠀⡇⣿⠀⣷⣿⣿⡽⣍⣟⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⣤⣷⢛⠉⠓ ⣤⠲⠙⠉⠀⡀⣿⣿⣽⣤⠿⠿⡀⢷⠐⣧⠘⠇⣿⣿⣿⣿⣿⣾⣶⣿⣿⣿⢙⠉⠉⠛⣿⢼⠦⣿⢿⠷⡆⣿⣤⠩⣿⣿⣿⣶⣿⣿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣷⣾⣤⣦⣶⢲ ⠀⢹⡀⣄⢷⠙⢀⣼⣮⢿⡘⣷⣿⣻⢿⡿⣿⡝⣷⣴⣧⣿⢿⠘⠈⣇⣿⣿⣟⠘⡄⠸⣿⢿⠀⣿⣿⡿⠀⣿⢿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⣟⣿⣼⠀⠀⠀⠀⠀ ⠀⡄⠘⠀⡠⣷⢿⠛⡈⡀⢷⠉⣧⣿⣿⣿⣿⣿⡈⢆⡌⣷⣿⣿⣿⡻⣿⣿⣿⣿⠉⢹⣿⣿⢸⣿⣿⣿⠈⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⡟⣿⣠⠁⠈⠀⠀⠀⠀ ⠀⠀⡄⠳⡀⡠⣷⣿⢿⠿⠉⡈⠁⣏⣿⣿⣿⣿⢿⠀⠟⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣾⣳⠛⡿⣴⢫⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣄⠳⡀⣧⣿⣿⣿⣿⡟⢿⣿⣿⣿⣿⣿⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣡⣉⠛⠿⡿⣱⣟⣴⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣄⠳⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣯⣿⣿⣿⠿⣿⣿⣿⣾⣿⣲⡙⢎⠐⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣻⣿⢿⡟⣿⣾⣤⡟⣏⣿⠟⣿⣿⣿⣿⣿⣿⣿⣻⣴⣠⠀⠀⠀⡀⠤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣿⣿⣿⣿⣿⣿⣿⡿⣿⠿⣟⣻⣉⣍⣿⢻⣉⣿⠻⣿⠿⠻⡿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⣴⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠖⣶⠶⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣻⠀⠀⣄⠷⠝⠲⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣦⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣡⠋⠞⣴⣤⣀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠏⣭⣉⢛⠛⠛⠚⠛⠛⠛⠉⣉⣀⣄⢤⠶⠳⡟⣿⢛⡾⣴⣭⣩⣚⠐⠀⠀⠀⠀⠀⠀⠀⠀⠒⡒⣙⣭⡮⣶⢿⡛⣟⠘⠀⠀ ⠀⠀⠀⠃⣼⣀⠀⠉⠉⠉⠉⠉⠉⠀⠀⣀⣄⣤⠶⠓⠛⣟⣿⢛⡶⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⢦⡳⣿⢸⠀⠀ ⠀⠀⠀⡏⠾⡤⣀⢀⠀⠀⠀⠀⡀⣀⣀⣀⢄⠤⠲⠓⠟⣿⣰⠀⠀⠀⠉⠉⠉⠚⠒⠒⠒⠒⠒⠒⠒⠁⠉⠉⠀⠀⠀⠀⠀⡀⣴⢹⠀⠀ ⠀⠀⠃⣶⢀⠀⠁⠉⠛⠛⠛⠛⠙⠉⠉⠀⠀⠀⠀⠁⣻⣾⢋⠞⡤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⠤⠶⠓⠉⠈⣇⠀⠀ ⠀⠀⡏⠾⡤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⢤⠦⠓⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣆⡿⠀⠀ ⠀⠃⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠘⠀ ⠀⡼⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣸⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢻⡾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⡏⢸⠁ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡟⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⣿⣿⣼⢀ ⣇⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡽⢟⣿⣿⠘⠀ ⠂⣿⠐⠀⠀⠀⠀⠀⠀⠀⠁⠟⡿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠟⡿⣾⣿⣿⣿⣿⠀⠀ ⠀⣷⢻⠙⠉⠉⠋⠛⠟⡦⣶⣧⣾⣿⣴⣿⣿⣿⢶⠻⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠋⠛⠿⡾⣴⣤⣀⢁⠿⣿⣷⣿⣿⠀⠀ ⠀⠀⣄⣷⣬⣠⣀⠀⠀⠀⠀⡀⠀⣠⠀⡆⣿⣿⠀⠁⡀⣄⣦⢶⠷⠶⠶⠼⠦⠶⠶⢶⣷⣽⣭⣉⣍⢉⠉⠉⠋⠿⡴⣠⠀⡇⣿⣿⢸⠀ ⠀⠀⠀⡀⢦⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠶⣤⣠⣤⣀⣀⣄⣄⣤⣦⣿⠸⠀⠄⣠⣧⣼⢿⠀ ⠀⠀⠀⠀⠀⡀⣳⢮⠙⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⠈⠀⠀⠀⠀⠀⠉⠋⠞⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⠨⠀⠀⡇⢻⣿⢸ ⠀⠀⠀⠀⠀⠀⠀⣄⡳⣮⠳⠉⠀⠀⠀⠀⠀⣶⣿⢿⠙⠀⠀⠀⠆⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢷⠈⠁⠋⣿⣼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢦⣗⣯⠿⠈⠀⠀⠀⣄⣷⣿⢿⠈⠀⠀⣧⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⡿⣴⣇⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣦⣷⠿⠛⠉⠂⣴⣷⣿⢿⠙⡆⣿⢻⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⡿⣾⢀⠋⣿⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣷⢿⠿⠻⣿⣿⣿⢻⣟⣿⣿⠿⠛⠈⠀⠀⠀⠀⠀⠁⠉⠛⠿⣾⣴⣡⠟⡿⣿⣿⠐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣶⣶⣶⠶⡴⣤⣠⢀⠀⠉⡟⣿⣿⣿⣸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⠷⠛⠒⠒⠗⠿⡿⣾⣶⣿⣿⣿⣿⣼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣇⢻⡟⣸⣷⣿⣿⣿⣿⣿⣛⢉⠉⠉⠿⠿⠛⠛⠞⠶⡴⣤⣠⣿⣿⣷⢠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢠⣀⣄⡦⣷⣟⢻⣿⢨⡀⢀⠀⠀⡀⠀⠀⠀⠁⠋⠛⠶⣤⣀⠀⡇⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢰⠀⠀⠀⠀⠀⠀⣇⣸⣀⣤⢤⠤⣤⣤⣠⣀⣀⣀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣦⣤⣄⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⡶⠒⠚⠋⠉⠉⠀⠀⠀⠀⡉⠛⢾⡄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⢲⣾⠿⢿⣿⣿⣦⡀⠀⠀⠀⠀⠀⣴⡿⠛⠿⢿⣿⣿⣽⣆⠀⠀⠀ ⠀⠀⣴⣿⠁⠀⣰⣿⣿⣿⣷⠀⠀⠀⣠⣾⡏⠀⠀⢀⣼⣿⣿⣿⣿⣦⠀⠀ ⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⢰⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⡏⢣⠀ ⢸⣿⣿⣿⣿⣿⡿⢿⣿⡿⠃⠀⠀⠸⣿⣿⣿⣿⣿⣿⡿⠻⣿⣿⣿⠇⠘⡇ ⢀⣿⣿⣿⣿⣯⣠⠾⠛⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣧⣴⠿⠟⠁⠀⠀⡇ ⠘⡇⠈⠉⠉⠉⠀⠀⠀⢀⡀⠀⠀⢀⣀⡀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⢀⡇ ⠀⢿⡀⠀⠀⠀⠀⠀⠀⠘⠻⣦⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠀ ⠀⠈⣳⡀⠀⠀⠀⢀⡴⠒⠲⢄⣀⠤⠶⢤⡀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀ ⠀⠀⠐⢝⣦⣀⣠⣼⣧⡀⠀⠀⠀⠀⣰⣾⣧⣤⡀⠀⠀⠀⣠⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢽⡟⠀⣿⣷⡄⠀⠀⣨⣿⡏⠻⠎⣷⡤⠖⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠃⠀⠈⢿⣷⡀⠀⢿⡅⠀⠀⠀⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠦⢤⣤⠞⠉⠉⠉⠉⠙⠦⢤⠤⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⢄⠤⠶⠲⠒⠙⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠋⠒⠒⠴⠤⠠⣀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠈⡀⣀⣀⣄⣤⣤⠤⠤⠤⠦⠶⠒⠺⠀⠒⠒⠿⠀⠀⠀⠀⠀⠃⠚⠖⠴⠥⠭⠭⡮⣶⣴⣒⣀⠁⣜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠙⢄⠀⠀⠀⠀⠀⠀⠉⠋⠛⠛⢻⠉⠀⠀⣿⠀⠀⠀⠀⠀⠀⢹⠀⡄⢀⠀⠀⠀⠀⠀⠀⠋⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⡀⠳⠈⠀⠁⠞⡴⣀⠀⠀⠀⠀⠀⡀⣄⠶⣝⠻⠀⠀⠀⠀⠁⣼⠈⠈⠀⠀⠀⠀⠀⠉⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠤⣀⣀⠀⠀⠀⣀⣀⢤⠳⠉⠀⠀⠀⣀⠯⣰⠀⠀⠀⠀⠀⠉⠚⠒⠒⠐⠂⡙⣦⢿⠈⠋⠟⣶⣶⢶⡲⣓⠿⠻⠚⡴⢀⠀⠀⠀⠀⠀⠁⠉⠋⠒⠒⠒⠒⠛⠈⠀⠀ ⠁⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡋⢾⠒⠛⠋⣰⠀⠀⠀⠁⠞⣠⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣰⠀⠉⠚⠤⣠⡀⣀⣄⠢⠙⠀⠀⠀⠁⠚⡴⣀⠀⠀⠀⠋⡰⠀⠀⣆⠙⠀ ⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠀⠀⣧⢻⠉⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢾⠀⡞⢠⠀⠀⠀⠀⠀⠀⠀⡀⢳⠈⠃⡰⠀⠀⠀⠀⠁⡜⢀⠀⠀⠀⠀⣄⠘ ⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣆⠹⠀⠀⡀⢻⣀⢤⠶⠲⠙⠉⠈⠀⠀⠀⠀⠀⠀⠀⠁⢸⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢻⡼⠀⠀⠀⠀⠁⣼⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠦⠈⠀⠀⠀⠀⠀⠏⡻⣶⣸⠀⡀⣦⠳⠙⣯⠀⠀⠘⠀⠀⣀⣀⢤⠶⠶⠒⠛⠉⠉⡏⢸⠀⡄⠷⠙⠈⠀⠀⠀⠀⠀⠀⡿⣟⣾⠤⠷⠈⠀⣼⠀⠀⠀⠀⠀⠀⠀⡏⢀ ⠀⠀⠀⣄⠣⠙⠀⠀⠀⣿⢠⠀⣧⠈⠀⠀⠀⣥⣿⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣤⣤⢤⠤⠤⠦⠒⠒⠒⡒⣿⣸⠀⠀⡇⢸⠄⢸⠀⠀⠀⠀⠀⠀⠟⣠⠀ ⠀⠀⠀⠀⠀⡆⣿⢤⠤⣧⠘⠀⡀⣄⠿⠤⡤⣀⠋⡴⢠⠀⠀⠀⠀⠁⠉⠛⠒⠒⠒⠒⠔⠿⠲⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⢰⠀⠏⣰⡄⡿⢿⠙⠀⠀⠀⠋⡶⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣳⠈⠀⣄⠻⠉⠁⡾⠀⠋⡴⢀⠀⠀⠀⠀⠁⠟⣴⣀⢀⠀⠀⠀⠀⠁⢰⠀⠀⣀⢧⠳⠉⠀⠀⠀⠀⠀⡇⣷⠛⡴⢀⠀⠀⡏⣸⣄⠷⠛⠾⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⢧⠈⠀⣇⣌⣴⢀⠟⣠⠀⠀⠀⠀⠀⠛⡴⢀⠀⠀⠀⠀⠀⠀⠃⡿⠀⠀⠋⠴⣀⠀⡀⣄⠳⠈⠀⠀⡀⣦⢙⠉⠀⠁⠋⣷⣸⠀⡇⣾⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠙⡆⢻⠀⡇⢸⠀⠀⠀⠁⠞⣠⢀⠀⠀⠀⠀⠀⠀⠀⠟⣷⣸⠀⠇⢸⠀⠀⠀⠀⠀⠀⣄⠳⠈⠀⠀⠀⡀⣀⣃⣿⢀⠀⠏⣾⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠹⣧⠘⡉⠙⠋⠖⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣰⠀⢿⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⠀⠀⠀⣄⠻⡿⣾⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⣞⣹⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⣿⣼⠀⠀⣿⠈⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⠀⠀⡏⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢳⡀⢦⠓⠉⠀⠀⠀⠀⠀⠀⠀⠁⡟⣿⣿⢸⠀⠀⡀⢷⡎⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠃⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢹⠀⠀⡀⣄⣤⣦⢿⣤⣤⣤⡀⣿⣸⣧⠸⠀⠀⠀⡀⣷⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢯⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢦⠙⠈⠀⠀⠁⡍⢺⠒⠒⠒⣟⢻⡙⣄⠤⠤⠢⠒⠒⣿⢯⠻⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⡵⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣋⣞⣶⢳⠙⠀⠀⠀⡏⣿⣿⢩⠉⠉⠉⠉⠏⣿⣿⢀⣆⣤⠷⠾⠻⠚⠗⠿⡿⣩⢖⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠛⠛⡽⢓⠀⠀⠀⣆⠛⠴⣠⣀⣦⣳⣭⣬⣤⣭⣿⣿⣼⢀⠀⠀⠀⠀⣄⣳⠈⠄⣻⢧⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢼⣤⢤⡀⣷⢻⠀⠀⠃⣼⠀⠀⠀⠀⠀⠀⣋⣴⣤⣏⣠⠀⠀⠉⠚⠐⠀⠀⠀⣎⠻⣿⣼⣒⣀⣆⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⡉⢿⠙⠀⠀⠀⣷⢹⠛⣿⠉⠉⠉⠉⠀⠀⡎⢠⠋⡶⢀⠁⠎⡴⣀⠀⠀⠀⠀⠀⠀⡀⣷⠺⠀⠀⡏⢹⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠟⣿⣽⠋⠚⠖⠴⡤⣠⢦⠳⠛⢟⣶⣷⢿⠿⠯⠶⣛⣌⠷⠉⠞⣠⠋⠾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣾⣤⣀⣁⣉⣙⣍⠯⠻⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⣿⣴⣀⠀⠀⠀⠀⠀⠀⠀⠟⣿⢠⠁⡿⣿⣿⣿⢾⡤⢳⡏⣴⢋⡼⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠗⠀⣀⠀⠀⠀⡀⣇⣿⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⢦⠹⠀⠀⠀⠉⠛⣟⣿⡿⣿⣿⢙⡉⣿⣿⣿⣿⣿⢿⣼⢡⡟⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⠸⠀⠀⠀⠀⠀⠋⣾⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠦⠿⢿⣒⣒⣟⣿⣿⣶⣶⣶⣶⣶⣷⣿⣾⢠⠃⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢹⠉⠋⠚⠖⣤⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⡴⣀⢀⠉⠞⣤⣀⠀⠀⠀⠀⠀⠁⡟⣴⢀⠏⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⢘⡑⣄⠦⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠏⣴⢀⠁⠞⡴⣀⠀⠀⠀⠀⠀⠀⠀⠋⣴⢀⠀⠟⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⢸⠀⣄⣤⡳⣿⠙⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⢰⠀⠛⣠⠀⠀⠀⠀⠀⠀⠀⠀⠁⡞⢠⠀⠀⡟⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⢠⠀⠀⠀⠀⣄⣿⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⣱⢋⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡼⢀⠀⠀⠏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⠸⠀⠀⠉⠀⠀⠀⡇⣿⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡿⣠⠀⠉⠖⣠⠀⠀⠀⠀⠁⠟⣼⠀⠀⠀⠀⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣿⢀⠀⠀⠀⡀⢦⠙⠀⡀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⣿⢰⠀⡤⢀⠀⠈⠀⠁⠋⠴⣠⠀⣄⠳⠈⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣰⣀⢦⠙⠀⠙⠀⠀⠀⡀⠣⠘⡇⠸⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⣤⠤⠶⠒⠒⠴⠤⣤⣀⠀⠀⠀⠀⠀⠀⣄⠦⠙⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠖⣠⠀⠀⠀⠀⡀⣄⢦⡒⢻⠛⠛⠛⠛⡾⢰⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⢤⠲⠙⠉⠈⠀⠀⠀⠀⠀⠀⠀⠁⠉⠂⠔⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠄⠒⠒⠉⠉⠉⠉⠉⠓⠂⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠄⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀ ⠀⠀⡰⠁⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠢⠀⠀ ⠀⡐⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣦⠀⠀⣰⣾⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠱⠀ ⡰⠀⠀⢀⣴⣿⠟⠉⢈⠟⠁⢹⣿⣿⡇⢀⣿⠟⠁⠀⡬⠛⣿⣿⣿⣷⣄⠀⠀⢡ ⡇⠀⣠⣿⡿⠁⠀⠀⢎⠀⢀⣼⣿⣿⡇⢸⠏⠀⠀⠘⠀⣰⣿⣿⣿⣿⣿⣦⠀⢸ ⡇⢠⠃⡿⠁⠀⠀⠀⠀⣷⣿⣿⣿⣿⡿⢸⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡆⢧⢸ ⡇⡞⠀⡇⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡇⢸⣆⡀⠀⢀⣼⣿⣿⣿⣿⣿⣿⡇⢸⢸ ⡇⢧⠀⢷⣄⣀⣀⣴⣿⣿⣿⣿⣿⣿⡇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢸⢸ ⢰⠸⡄⠘⣿⡟⠻⣿⣿⣿⣿⣿⣿⡿⠁⠀⢻⣿⡉⠙⣿⣿⣿⣿⣿⣿⡏⠀⡞⡸ ⠀⢂⠹⣄⠘⣧⣠⣾⣿⡿⢿⣣⡿⠁⠀⠀⠀⠻⣿⣿⢿⡿⢟⣾⣿⠏⢀⠜⠠⠁ ⠀⠀⠢⡈⠑⠚⠿⠷⠶⠿⠟⠋⠀⠀⠀⠀⠀⠀⠈⠛⠿⠾⠿⠿⠕⠛⠁⡰⠁⠀ ⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠑⠠⡀⠀⠀⠀⠀⠀⠠⠞⠙⠦⠀⠀⠀⠀⠀⢀⡠⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠤⢀⣀⣀⣀⣀⣀⣀⣀⡠⠔⠂⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡶⠾⠛⠛⠋⠉⠉⠉⠉⠉⠛⠛⠻⠶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⣦⣄⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠈⠙⢿⣄⠀⠀⠀⠉⠙⠻⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠉⠳⣄⠀⠀⠀⠀⢸⠁⠈⢣⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠹⣧ ⠀⠀⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠸⡆⠀⠀⠀⠸⣇⠀⠈⣧⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣀⣠⣿⠀⠀⠀⠀⢻⣷⣾⣿⡆⠀⠀⠀⠀⠹⣆⠀⠀⢰⡿ ⠀⠀⠀⠀⢠⡿⢀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡇⠀⠀⠀⠘⡿⠿⠟⣇⠀⠀⠀⠀⠀⢹⡆⢀⣿⠃ ⠀⠀⠀⢠⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡌⠉⠀⡇⠀⠀⠀⠀⠹⡀⠀⡏⢀⣴⣿⣿⣿⠀⢿⡿⠁⠀ ⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣶⣶⡄⠀⠳⣤⡼⠁⠀⠀⠀⠀⠀⠙⠚⠁⡈⣛⠟⠛⠉⠀⢸⣧⠀⠀ ⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠃⠀⠀⢀⢲⡦⡀⠀⠀⠀⣀⣠⣤⣾⡿⠏⠀⠀⠀⠀⠀⣿⠀⠀ ⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡯⠭⣭⣿⠿⠟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⢶⣿⣿⡛⠛⠛⠛⠾⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀ ⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠋⠁⠐⠛⠛⠋⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀ ⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀ ⠀⠀⠉⠛⠷⢶⣶⠶⠶⠶⠖⠛⠋⠁⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⢠⣾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣷⣀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⡤ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣄⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⢀⣤⣿⠏⠀⠀⠀⠀⠀⠲⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⣠⡴⠋⣹⡏⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣋⣠⡴⠶⠛⠁⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠉⠉⠀⠀⠀⠀⠀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣤⣄⣀⣀⣀⣤⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⢀⣤⣶⠆⢀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠙⣛⣡⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⢿⣿⣦⣄⣀⣀⣀⣤⣤⣤⣤⣴⣶⣾⣿⣿⢿⣿⣶⣶⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⢫⣞⣽⣻⣿⠿⠛⠋⠉⠉⠉⠉⠙⠋⠛⠻⠿⢶⣿⣼⣏⠸⣿⡿⢿⣶⣤⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣯⣿⣟⣿⡿⠶⢶⠶⠶⠶⡶⢶⣶⣦⣤⣄⣀⠀⠀⢻⣯⢳⣭⣿⣷⣍⠿⣿⣦⡀⠀ ⠀⠀⠀⠀⣠⣶⣶⣶⣦⣄⡀⠀⢀⠠⢀⣴⣿⣿⣯⣩⣷⠟⠁⣀⠃⡄⢂⡑⢂⠐⡠⢀⠠⢀⠉⡙⣿⡀⠀⢿⣿⣟⣣⠜⣿⣖⡈⢻⣿⣆ ⢀⣤⣶⢟⣻⠟⡹⢏⣷⣿⣿⠀⠀⣠⣿⡿⠁⠀⢹⣿⠃⠠⢘⡀⠆⡈⢶⣍⠠⢈⠔⡀⢆⠈⢲⣔⠘⣷⣤⣶⠿⠛⠿⢿⣖⣿⣇⠀⠹⣿ ⢫⡷⢏⠿⣉⠎⡥⣛⣾⣲⡟⠀⣰⣿⠟⠀⠀⣀⣿⠇⠀⠀⠀⠀⠀⢈⣿⠇⠀⠁⠂⠐⠈⠂⠍⣿⣦⠈⠙⡀⡐⢈⠠⠈⠹⣿⣿⡆⢁⢹ ⣿⣧⣈⢦⡑⣎⡴⣯⡷⣿⠇⢠⣿⡟⢠⡖⢸⣹⣿⠀⡐⢂⠒⠀⢶⣾⣻⠃⠀⠤⡀⠄⡄⠀⠤⣿⣿⡄⢀⠰⣽⠀⡐⢈⠀⠌⠛⠃⡄⢈ ⣿⣽⣿⣷⣿⣻⣟⣧⠿⠋⠀⣼⣿⣣⣿⠀⢆⣿⣿⣤⣅⡂⠌⢈⢧⡟⢹⡁⠌⡐⠠⠈⠄⡁⢊⣿⠞⣿⡄⠘⣿⡄⠰⢡⢈⡒⠈⡔⢈⠄ ⠀⠀⠉⠉⠙⠉⠉⠁⠀⠀⠀⣻⣿⣿⣿⣈⣶⡝⠋⠟⠛⠿⠿⠞⠿⠃⠸⠶⠶⢶⣶⠧⣔⡠⢂⣿⠁⢺⣿⡀⢿⡃⢄⢃⠢⡱⢈⡐⠌⢂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⡿⡟⢿⡅⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⠛⠻⠧⠀⢸⡟⣷⣻⡇⠀⢎⠰⣁⠢⡐⢌⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⢷⣙⣼⣶⣿⣄⣀⠀⠀⠈⠄⠀⠁⠂⠐⠠⠀⠀⠀⠀⠀⠀⠀⠀⣿⣻⣿⡧⢈⠢⠑⡄⢢⠁⢆⡉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⢏⣾⣿⠿⣿⣿⣿⣿⣷⡀⠀⠀⠀⡀⠀⠂⠀⠀⠠⠀⣴⡄⢀⠀⠀⣹⡷⣿⡷⠀⢂⠱⢈⡐⠌⢢⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⢣⢾⣿⠃⡒⢄⠠⠈⠛⠿⠁⠀⠈⠀⠀⠐⠀⢀⣼⣿⣿⣿⣿⣶⣬⡄⢘⠧⣿⡏⠐⡀⣚⠠⠐⠌⡂⠌ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣯⣵⣿⣇⡘⠤⡉⠢⢁⠠⠀⠀⠀⠈⠀⠀⠀⠠⠘⠛⢛⠻⠿⠿⣿⣿⣿⣮⣞⣿⠅⠠⢐⡇⠄⢃⠘⡄⢃ ⠀⠀⠀⠀⠀⠀⣠⣾⡿⠟⡛⡍⣩⢙⡛⠿⣿⣦⡁⠀⠀⠘⣿⣄⣠⣴⣶⣿⣷⣿⣶⣦⣖⣠⠃⠤⣉⠉⡽⣾⡟⠀⢂⣿⢎⡁⠢⢈⠔⡡ ⠀⠀⠀⠀⠀⣴⣿⠟⡜⠁⠈⠑⡆⢣⠜⡳⣸⡽⣿⣦⡀⣴⣾⠿⠛⠉⣀⣤⡠⠤⣌⠩⡛⠿⣿⣦⠄⡽⣹⣿⠇⡈⣼⣟⡮⢀⠑⠠⢃⠖ ⠀⠀⠀⠀⣼⣿⠃⣼⠃⠀⠀⢠⡙⢢⢍⡱⢌⣿⣾⣽⣿⠟⢁⣤⡶⢟⠩⢤⡑⢎⡔⢣⢍⠲⣉⠻⣿⣔⢣⣿⠡⢰⣿⢎⡗⠠⠉⠄⢫⠜ ⠀⠀⠀⢀⣿⡿⠀⣿⡇⡔⢢⡁⢄⢣⢎⢲⠡⢎⡛⢭⢡⠛⣏⠱⣘⢢⡙⢦⡘⢦⡘⢥⡊⠵⡨⣇⠹⣿⣾⣏⢲⣿⣏⢾⡇⠐⡉⠄⢣⠚ ⠀⠀⠀⠀⣿⣷⠈⣿⡔⢬⠣⣜⠪⡜⣌⠲⡍⡖⣩⢆⢣⡙⡤⢓⡬⢢⡙⡤⣉⠦⡙⣤⠙⢦⡑⣿⡀⣿⣿⠧⣿⣏⢮⡳⡇⠱⢠⠈⢰⢋ ⠀⠀⠀⠀⢹⣿⡄⢹⣗⢌⠳⣌⠳⣘⢤⠳⣘⡜⣰⢊⡵⢬⣑⢣⡜⢥⡚⠴⣑⠮⣑⠦⡙⢦⣿⣿⠀⣿⣿⢻⣿⣜⢧⣻⡥⢙⡄⠈⠄⣫ ⠀⠀⠀⠀⠈⢿⣷⡀⢿⣎⡱⢌⡣⢍⠶⡙⢦⡜⠦⣍⠲⡥⢚⡆⡞⣥⢎⣣⠓⡼⣡⢞⣽⣿⣿⡏⣰⣿⣯⣿⣿⠿⣿⣼⡇⢺⠄⡁⢂⠱ ⠀⠀⠀⠀⠀⠈⢻⣿⣴⣮⣵⣾⣿⡌⡖⣹⠲⣘⠳⣌⠳⡜⣣⢞⡰⣭⣿⡿⣿⣴⣿⢿⣿⡽⡫⣴⣿⣿⡷⣿⢫⡝⡞⣿⣷⢹⡆⠐⠠⠘ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⠛⠛⢣⣿⡿⢿⣿⠡⣇⠻⣌⠳⣜⢢⢿⣿⡿⠿⠃⠈⠛⠁⢸⣿⣓⣷⣿⣿⣿⣿⣏⢧⠯⣝⡜⣿⡧⣟⠠⢁⠂ ⠀⠀⠀⠀⠀⠀⢀⣿⣿⡇⠀⠀⠀⢸⣿⣧⡳⣌⠳⣌⠳⡜⣬⣷⣾⠟⠂⠀⠀⠀⠀⢀⣿⣿⣿⣿⡿⣽⣿⣎⢯⡝⣾⡜⣿⡿⣱⠂⣂⠡ ⠀⠀⠀⠀⠀⠀⣼⣿⡿⣿⣆⡀⢂⣶⣾⡟⢏⡴⢫⠜⣣⢓⡬⣛⢿⣷⣦⣔⣢⢶⣴⣾⢿⡙⣿⣿⣿⣟⣿⣯⢞⡽⣳⣹⣿⠷⣍⠖⡠⢂ ⠀⠀⠀⠀⠀⢠⣿⣿⡜⡽⣻⣿⣿⣿⣷⣾⣮⠔⣋⢎⡱⣊⠴⣯⣾⣍⣿⣿⣿⣟⣯⣓⢮⡝⣦⢻⣿⣿⣻⣿⣾⡱⣧⣿⣏⠿⣐⠯⣐⠡

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⠋⡿⣿⣿⣿⣴⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⢉⠀⠀⠀⠀⠀⠀⠀⠉⠉⠚⠿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿ ⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣼⣻⣩⣋⣿⣿⣛⢛⣟⢻⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣦⣿⣿⣿⣿⣴⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣿ ⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠛⠿⠿⠻⡿⣸⠀ ⣀⣧⢻⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠁⠋⠿⣿⣤⣠⣀⢀⠀⣀⣧⢿⠈ ⠀⡟⣾⣠⣀⣀⣀⣄⣧⣶⢿⠻⠙⠈⠀⠀⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡶⣤⣉⠋⠟⡶⣷⣨⠀⡇⢸⠀⠀⠀⠀⠀⠀⣿⢸ ⠇⣿⢠⠀⠀⠀⠀⠼⡣⠀⢹⡈⣀⣤⢶⠷⠛⡙⣍⢳⠀⠁⠈⠀⠀⠀⠀⠛⠙⠁⢟⠿⣴⣠⣣⠉⠉⣾⢀⠀⡟⢠⠀⠀⠀⠀⠀⠀⡏⢸ ⡇⣿⠀⠀⠀⠀⠀⣷⡄⠱⣄⠳⠈⠀⠀⠁⡞⣁⣼⣷⠻⡿⢴⠀⠀⠀⠀⣄⣧⣾⢠⢆⠹⠈⠀⠀⠀⠁⠋⡴⢀⠀⠀⠀⠀⠀⠎⢡⣿⢰ ⡄⣿⣜⠱⠀⠛⠉⡟⠙⠉⢌⠲⣑⣉⣉⢊⠖⡠⠀⠀⣧⢹⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⡀⣄⠤⠤⡤⣀⠀⠀⠀⠀⠀⠁⠊⡠⠃⡿⣱⠟ ⢻⣆⢿⡘⢦⠐⡇⣀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣼⠀⠀⠀⠀⠀⠀⡆⢿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠊⠴⣀⠁⠟⣿⣿⣿⣿ ⣿⢿⣝⣷⠻⠈⡄⠲⡵⠉⠀⠀⠀⠀⠀⠀⠀⠊⠐⠏⣾⢀⠀⠀⠀⠀⠀⠀⠀⣄⣷⠻⠈⠀⠀⠀⠀⠀⠄⣀⠀⠀⠉⠟⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠻⠉⠀⠀⣀⢀⠀⠀⠀⠀⠉⠛⡿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣧⢿⠿⠻⠛⠛⠛⠿⠿⣾⣯⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠟⠿⠿⣶⣴⣤⠦⠒⠒⠓⠙⠀⠀⠀⠀⠂⠒⠖⠤⣤⣀⠀⠀⠀⣉⣛⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠉⠉⠁⠛⠛⠉⠉⠉⠉⠉⠁⠉⠉⠈⠀⠉⠉⠉⠉⠉⠛⠛⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⣿⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣉⢈⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⣾⣤⢷⠻⠉⠀⠀⠀⠀⠀⠀⡟⣿⣟⣹⣿⣼⠳⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⠀⠀⠀⡀⣧⢿⠻⠉⠀⠀⠀⣧⣿⡉⣋⠒⠓⠉⣆⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣾⠀⠀⠀⠋⣿⣿⣿⣿⣿⠛⠉⠂⢠⠀⠋⠿⠿⡸⢱⣿⣿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠛⠟⡿⣿⣿⣿⣿⣿⣾⢁⣄⣳⢙⡀⣶⣿⣾⢠⡿⣿⣿⣿⣿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⣿⣿⣿⣿⣿⣿⣿⣼⢀⡄⠸⡄⣿⠻⠙⠈⠁⠟⣿⣿⣿⣿⣿⣿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣠⣀⠀⠀⣄⣷⣿⣾⣴⢀⠀⠀⠋⢰⠉⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⡁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠚⠴⣀⣀⢤⠷⠙⠀⠀⠀⠀⠀⠄⠦⠶⠶⠶⣤⢋⡼⣀⠀⡀⣬⣶⣿⣿⣿⣶⣴⢀⠏⡼⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠞⣠⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠁⠛⠛⠉⠈⠀⠀⠏⣰⠀⠀⠀⠀⣄⠲⠉⠈⠀⠀⠀⠀⣀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡾⣠⠀⠋⣔⣠⣄⣯⣸⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⡼⢀⠋⠔⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢠⠁⠉⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣾⣷⣿⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⢰⠁⣿⢻⠔⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⣠⣄⣰⣄⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⠻⠀⠀⠀⠀⠀⠀⠀⠋⡴⠀⡞⣤⢀⠏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⢦⠙⠀⠀⠀⠀⠏⢠⠀⠀⠀⠂⡰⢀⠋⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⢄⣥⣟⢸⠀⠀⠀⠀⠀⠃⣿⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢳⠘⠀⠀⠀⠀⡿⣿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠛⡿⣿⣿⠸⠀⠀⠀⠀⠀⡏⣿⠻⣍⠲⠑⠉⠀⠀⠀⠀⠀⠀⠀⠋⠖⣶⢲⠉⣿⢬⠳⠈⡇⣿⣿⣿⠀⠁⠋⠚⠒⠒⠒⠒⠙⠈⣇⣿⣿⠻⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⡿⣶⣷⣿⣶⢶⠻⠉⠉⠉⠟⣿⣿⣿⣿⢿⠻⡛⣍⢭⠭⠭⠭⣤⣠⠀⠀⠀⠀⠀⡀⣄⠲⣄⡿⣿⣿⣾⣤⣀⠆⠲⠘⠀⠀⠀⠀⠀⣄⣷⣿⣿⣿⠈⠀⠀⠀⠀ ⠀⠀⠃⣴⠀⠀⠞⣠⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢠⡀⣀⢋⠞⠤⢤⠢⠛⠉⠀⠀⠀⠀⠋⡿⣿⣿⢠⠀⠀⠀⠉⠀⠀⠀⠷⠿⠿⠸⠑⡇⣿⣿⣿⢿⠀⠀⠀⠀ ⠀⠀⡇⠛⠛⠟⢠⠀⠀⠀⠀⠀⠀⣀⣤⣦⣶⣶⣶⣶⣤⢖⠴⡠⣀⢀⠀⠀⠀⠀⠀⡀⣀⠦⠷⣿⣿⣿⣿⣸⠀⠋⣸⣀⣸⠀⠀⠀⡄⣷⣿⢸⠁⡾⣿⣿⣿⣿⠸⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣿⣿⣿⣿⢹⡿⣿⣿⠟⢠⠉⠛⠜⠉⠉⣏⣿⣿⠹⣟⣿⣿⣄⢸⠀⠀⠀ ⠀⠀⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣸⠀⠀⠀ ⠀⠀⡇⣾⣴⣦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡻⣿⣿⣿⣿⣿⣿⣿⣾⣧⣿⣿⣿⣿⣿⣿⣾⣷⢸⠀⠀⠀ ⠀⠀⠀⢧⠈⠀⣆⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢈⠀⣧⣯⣿⣿⣿⣿⢸⡇⢠⠀⠀⠀ ⠀⠀⠀⠀⢦⠙⠋⡿⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢻⠉⠞⣷⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣦⣷⣿⣿⣿⢿⠴⡤⣀⣀⣀⣏⣿⣿⣿⢿⠿⠙⠈⠀⠀⠀⠀⠀⠀⡄⠹⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠏⠉⡟⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣲⠒⠒⠒⠒⠤⣤⣦⣶⣿⣾⣠⠀⣆⠙⠀⠀⠀⠀⠀⠀⡀⢳⡟⣿⣾⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣤⢀⣦⣿⠻⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⡀⣷⢨⠀⠀⡃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⠈⠀⡀⣦⣿⠻⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢫⠛⠛⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠋⣿⣿⣿⣿⣾⣤⣤⣀⣧⣿⣿⣾⣤⣠⣦⣷⢿⠻⠛⣟⣿⢻⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣦⣶⣿⣿⠻⠈⠀⠀⣆⣿⠹⠀⠀⠀⠀⡀⣄⣦⣷⣿⣿⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⣷⢿⠛⠛⡏⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣤⣶⣶⣾⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠐⢿⠓⠀⢀⡴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⡒⠤⣀⡀⠀⢀⡴⠋⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠱⡀⠀⠉⠑⠋⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀ ⠀⠀⠀⠀⢱⡄⠀⠀⠀⠀⠀⠉⠒⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣈⠵⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀ ⢀⡤⠋⣀⣀⣀⣤⠀⠀⠀⢰⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀ ⠈⠉⠁⠀⠀⠀⠀⢧⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢐⣶⣆⠀⠀⢠⠈⢇⢰⠃⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣰⡄⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠀⠀⠀⣏⣧⠈⠟⠀⠀⠀⠀⠀⠀⠽⡿⠆⠀⠀⠀⢀⣿⣿⣦⣶⣶⠟⠀⠀ ⠀⠀⠀⠀⣀⣸⣿⣯⢧⠤⢤⣤⣴⠦⠀⠀⠀⠁⠀⠀⠛⠿⣿⣿⣿⣿⣿⡁⠀⠀⠀ ⠀⠙⠯⡻⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠰⣄⣠⡇⠀⠀⠀⠀⢸⣿⡿⠛⠛⠿⣆⠀⠀ ⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⠁⠀⠀⠀⣠⢿⣿⠟⠒⠀⠀⠀⠸⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⣿⠿⠺⢝⡯⢧⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢼⠓⠁⠀⠀⠀⠉⠺⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢟⡒⠒⠛⠁⠀⠘⠒⠒⢲⡶⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡆⠀⠈⢢⠀⠀⠀⠀⡤⠚⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠉⠀⢠⠇⢀⡤⣀⠀⢳⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠊⠁⠀⠈⠳⣼⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⣀⠀⠀⢀⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⢾⣿⣟⠁⠀⠀⠺⡟⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⢉⠓⠀⠀⠀⠀⠀

⠀⠀⠀⠀⢾⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⡇⠈⠀⠀⠀⡇⠰⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀⣷⠘⠀⠀⠉⠉⠚⠖⠴⠤⠲⡟⢸⠀⡟⢸⠀⠀⠀⡇⠸⠀⠉⠞⠤⠤⣀⣀⣁⣠⢤⠤⠲⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⡟⠚⠴⣠⣀⠀⠀⠀⠀⠀⠁⣼⢀⠏⣠⣧⠘⠀⠀⠀⢻⠇⣰⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⣀⢤⠲⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢐⠀⠀⠋⠖⣠⣇⠈⠀⠀⠀⠀⠀⠀⠀⠃⡼⠇⡾⢀⠀⠀⣇⠻⠈⠀⡇⡘⢸⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠦⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠏⣴⢀⠀⠀⠀⢳⠈⠀⠀⠀⠀⠀⠃⣹⠞⣷⠀⠁⠈⠀⡀⣸⣄⠳⠉⣿⣿⠈⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⣴⢀⠀⠀⠀⠀⠀⠀⣀⢤⠳⠈⠀⠃⣿⣰⠀⡀⢻⡟⣿⠙⠀⢸⠀⠀⣄⣿⣨⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠢⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠫⣿⢹⠋⠛⠛⣿⣿⣿⣿⣿⢸⠀⠀⠀⡀⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠦⠙⠀⠀⠀⠀ ⠀⠀⠃⢰⠀⠀⠀⠀⠀⠉⠋⠛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣿⣿⠻⠈⠋⠙⡟⣷⣿⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠈⠀⠀ ⠀⠀⡇⠀⠉⠛⠟⠿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣴⣤⣀⣀⣠⣀⢀⠀⠀⡀⣦⣿⣿⢻⡀⣦⡿⣿⣿⣷⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠈ ⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⠀⠀⡄⣷⢿⠈⡄⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄ ⠀⠀⡟⣿⣿⣿⣿⣿⣿⣾⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠛⠙⠉⠉⠈⠏⣿⣿⠀⠀⠀⠀⣧⢿⠉⡀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡉⣤⣤⣿⣿⣿⣿⡿⣾⠀⠀⠀⠀⠀⣿⣸⢧⡈⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠇⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠋⠞⠶⣤⣤⣤⣤⣤⣯⣿⣾⠉⡿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⣿⣿⠈⣄⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⣿⣾⣡⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠛⠿⣿⣿⠿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⣿⣼⢦⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡟⣸⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣏⣿⡾⣤⣀⠀⡀⣿⣯⣸⠀⠀⠀⠀⠀⠀⠀⠂⣼⠀⠀⢦⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⢀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠁⠟⡿⣶⣠⢂⠉⠀⠀⠀⠀⣄⣷⢸⠀⠀⠀⠀⠀⠀⠀⠉⠙⠀⠀⠀⢦⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⣰⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠁⠟⣶⣤⣀⢤⠦⠄⣤⢤⠢⠒⠒⠖⣤⢤⠢⠓⠉⠉⠊⠖⡠⢀⡀⢤⠤⠶⠤⢦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠀⠀⠀⠀⠀⠀⠀⠁⣼⢀⠟⣽⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠤⢤⠦⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠁⠉⠉⡏⣿⢛⡶⣠⣀⣀⢤⠤⠲⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⣶⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠗⡿⣾⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠓⡞⢩⣯⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠰⡹⠁⢰⠃⣩⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣿⠿⣉⣩⠛⠲⢶⡠⢄⠐⣣⠃⣰⠗⠋⢀⣯⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣯⣠⠬⠦⢤⣀⠈⠓⢽⣾⢔⣡⡴⠞⠻⠙⢳⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣵⣳⠖⠉⠉⢉⣩⣵⣿⣿⣒⢤⣴⠤⠽⣬⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⣟⠟⠋⢡⡎⢿⢿⠳⡕⢤⡉⡷⡽⠁ ⣧⢮⢭⠛⢲⣦⣀⠀⠀⠀⠠⡀⠀⠀⠀⡾⣥⣏⣖⡟⠸⢺⠀⠀⠈⠙⠋⠁⠀⠀ ⠈⠻⣶⡛⠲⣄⠀⠙⠢⣀⠀⢇⠀⠀⠀⠘⠿⣯⣮⢦⠶⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣿⣥⡬⠽⠶⠤⣌⣣⣼⡔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⣧⣤⡴⢤⡴⣶⣿⣟⢯⡙⠒⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣗⣞⣢⡟⢋⢜⣿⠛⡿⡄⢻⡮⣄⠈⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⠮⠴⠵⢋⣇⡇⣷⢳⡀⢱⡈⢋⠛⣄⣹⣲⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣱⡇⣦⢾⣾⠿⠟⠿⠷⠷⣻⠧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠽⠞⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

へ ♡ ╱|、 ૮ - ՛ ) (` - 7 / ⁻ ៸| |、⁻〵 乀 (ˍ, ل ل じしˍ,)ノ

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⢄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⡄⣿⣬⣀⣄⠳⠈⠁⢸⡄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⢰⣦⢳⠈⠀⣄⣵⢀⠀⠀⢄⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⢀⠀⠀⣍⠻⠈⡀⢣⠈⠀⠀⡀⢦⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠈⠀⠀⠀⠀⠀⠀⡿⢀⢆⠘⠀⢦⠙⠉⠀⠀⡀⠣⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠐⠉⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠂⠑⠉⢫⠀⠀⠀⠀⠛⠏⢻⢽⠭⣮⠹⠀⡄⣙⢦⠘⠀⠀⣄⠑⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⢄⠢⠙⠀⡜⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣄⠹⠀⠀⠀⠀⣀⣤⣶⣑⣉⡉⢻⠀⡀⠷⣿⠺⠑⠉⠀⢆⡙⢷⠙⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣄⢢⠙⠀⠀⢸⠀⠁⠉⠉⠉⠉⠂⡟⠹⠀⠀⠀⠀⠀⠀⠀⣀⣤⣷⢻⠈⡀⣧⢿⠈⡀⢧⠈⡀⡢⣿⠹⠀⠀⠀⠀⠀⠀ ⠒⠉⠀⠀⠀⠀⠀⠀⠀⣄⠦⣿⣿⣿⣿⣿⣀⣷⣨⣀⠀⠀⠀⠉⠈⠀⠀⠀⠀⠀⠁⣀⣖⠮⠐⣧⢿⡾⣁⢿⠈⠀⣇⣽⢳⠀⠀⠀⠀⠀ ⠀⡁⣍⠾⠒⠉⠈⠀⠀⠀⠀⡀⣦⣿⣿⣼⠀⠀⣄⠹⠀⠀⠀⠀⡀⢄⠤⠑⠀⠑⠈⢄⠳⡈⠳⠈⣆⢻⣱⠀⢱⠀⡿⢸⡀⢻⠈⠀⠀⠀ ⠀⣄⢲⠃⠻⠙⡓⢾⠙⠈⠀⠀⠀⡀⣧⠀⠀⠂⡠⠋⢿⠿⣾⠻⠈⠀⠀⠀⢣⠀⣷⠢⠈⢂⡄⢸⠀⣦⠘⠀⡇⡟⣿⢰⠀⡇⢿⠈⠀⠀ ⡆⢶⣷⡀⣿⣧⠮⢰⡄⢿⠘⠀⠀⠀⠀⠸⠀⠀⡟⣽⣤⣤⠠⡇⣿⢻⠈⠀⠀⢄⡓⢸⢄⠙⣟⢿⠘⠀⣆⠘⠀⣽⣄⠀⠀⡇⢸⣼⠳⠈ ⣹⠿⡦⠻⠈⣿⢣⠈⠀⣿⢰⠀⠀⠀⠀⢀⠀⠀⣷⣸⠀⠀⠇⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⡀⣃⣿⣮⠙⠀⡄⠘⣆⠹⠀⠁⣿⢀⢻⠘⣆ ⡀⢟⠿⠻⠛⣿⠙⣯⠿⣿⢸⠀⠀⠀⠀⠀⠀⠀⡄⢿⠛⡿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠁⠟⡿⣠⠀⣆⠹⠀⡄⠘⣤⠹⡿⢠⠏⣣⣿⠀ ⡂⣌⣤⣦⣿⣆⢰⣋⣿⣿⢹⠀⠀⠀⠀⠀⠘⠀⠀⡀⣦⣶⣶⣶⣴⢀⠀⠀⠀⠀⠁⠟⣿⣾⣶⣷⠿⠓⣏⠹⠀⡄⠈⡆⠙⡟⣠⡋⣾⠀ ⠲⠓⢉⠉⠈⠄⡿⢸⡀⣿⣿⠸⠀⠈⠀⠙⡈⠣⠃⣾⢀⠀⠀⠁⠀⠀⠂⠀⠒⠇⣷⣿⣾⢙⠀⠁⡰⢦⠙⣄⠸⠀⢇⠀⣿⣿⣞⣠⠀⠀ ⠀⠀⡄⠱⡇⠀⡏⢿⠀⠀⣀⢀⠀⢆⠈⣆⡈⠣⣿⢸⠀⠀⡀⢀⠀⠀⠀⠀⠁⡴⣿⣴⢣⣿⠚⢠⠀⠀⡀⢣⣎⠘⠀⢸⡇⣠⠀⠀⠀⠀ ⠀⠀⠀⡀⣿⠀⣼⣾⢻⠀⠁⠚⠕⠺⣌⠳⡀⣷⣇⠘⠀⠀⠋⠟⡿⢾⠀⡇⣴⢷⣧⠀⡀⣷⠘⠀⠋⠿⠿⠻⣿⢿⠈⡇⠀⢻⠈⠀⠀⠀ ⠀⠀⠀⠀⣇⠧⢲⠉⡄⠿⣻⠾⠒⣴⣭⠿⣾⣷⢹⢻⠟⣿⣶⣦⣤⠀⢻⡟⠘⡀⠑⢣⠀⡀⢳⠀⣿⣿⣿⣿⣿⣿⢹⡀⠿⢸⢦⠙⠀⠀ ⠀⠀⠀⠀⡇⡇⠀⡀⣇⣿⢿⠽⣩⣄⣷⣿⢼⡄⣘⣀⣹⠏⠈⠁⠉⠋⣿⣿⢿⠘⠀⠀⢦⠈⡀⠳⡄⣧⣿⣿⡻⣝⣷⠹⣿⢀⠀⡄⠳⠈ ⠀⠀⠀⠀⡇⡇⠀⠁⣾⢸⠀⣀⣤⠳⠙⣌⣷⠻⣍⠘⡀⣧⣻⢀⠀⠀⡀⣧⣷⣿⠹⠀⠀⣔⠀⡀⢧⣿⣷⣿⣬⣤⣶⣿⣿⠘⠀⠀⠀⣇ ⠀⠀⠀⠀⡇⡇⠁⡜⣞⢀⠀⠀⠀⠀⡀⣧⠳⣍⡲⣤⠱⠀⣠⢦⠙⠀⠏⣿⢻⣈⡀⢦⠙⠀⠢⠈⠀⣦⣹⡟⢺⠀⠃⣿⣶⢳⠙⠉⠈⠀ ⠀⠀⠀⠀⡟⡇⡼⡖⢀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢷⠺⠗⢿⠙⠀⡀⢦⣿⣿⣿⣿⠻⠙⡀⠀⠀⡀⠀⠁⡍⣾⢡⠟⣾⢠⠀⠀⠀⠀⡀⣀ ⠀⠀⠀⠃⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⣉⣈⢄⠲⠙⡈⣷⣿⣆⣿⣿⣿⠿⠴⠤⡤⣁⠟⡿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣷⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⢷⠭⠀⣀⣀⣷⠹⣇⣾⣶⣴⠀⠁⠟⣿⣶⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣄⠦⠒⠑⣯⡹⢹⠉⠛⡶⣤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠘⠀⠀⠀⠀⡀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠞⣀⠀⠀⠀⠀⠀⠀⠀⣀⢦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣠⠀⠀⠀⠀⠀⣧⢘⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠊⠴⢀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⠦⠙⠀⠀⡟⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠑⠀⠀⠀⠀⠀⠊⠈⠀⠁⠋⠉⠁⠉⠈⠀⠀⠀⠀⠉⠚⡴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⢤⠓⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠦⠕⡿⠺⣟⣝⡝⡟⣿⣾⣿⣽⢘⠀⠉⠞⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢦⡙⣤⣶⠥⠭⠶⣶⣐⠁⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢰⠀⠀⠀⠀⠉⠞⣤ ⠀⠀⠀⠀⠀⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠶⣤⣇⠁⠈⠀⠀⠀⠀⠀⡿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠁⠛⡴⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⣾⢀⠀⠀⠀⡏⡸⢸⠀⠀⠀⠀⠁⣿⡈⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢀⠁⠞⣠⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠈⠀⠀⠀⠀⠀⠉⠖⡠⢋⡴⠀⠀⠀⠀⠁⣿⢸⢳⠈⠀⠀⠁⡿⣇⢻⠈⠀⣀⢤⠳⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢰⠟⣰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠙⠋⠟⠴⣠⢀⠀⠏⣠⠀⠀⠀⠀⠁⡾⣧⢸⠁⣋⣶⣷⡬⠀⣇⣸⢤⠑⠀⠀⠀⣄⣷⢿⠑⠀⠀⠀⠀⠀⠀⠏⣡⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣹⠀⠀⠀⠀⠃⢠⠀⠀⠀⠁⠜⣠⠁⡼⣄⣠⠀⠀⠀⣀⢤⡤⢧⠈⠀⢄⠐⠀⠀⡀⣳⣤⠒⠒⠒⠒⠤⣠⠋⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⢷⠙⠀⠀⡇⠀⠀⠀⠀⠀⠀⠋⡴⠀⠈⠖⣠⠀⠀⢄⠰⠀⠀⣆⠙⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠋⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣈⠦⡙⢤⠲⡖⠒⠒⠒⠙⠊⡴⢀⠕⣯⡿⢦⠙⠀⠁⠊⠴⡻⣿⣨⣀⢦⠙⠉⠁⠋⣷⠙⠉⠋⠞⣤⢉⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠦⠓⢉⠉⠀⠀⣦⣸⣀⠀⠀⠟⣫⠛⣟⠀⡀⢤⣠⠀⠀⢹⠉⡈⢧⠈⠀⣀⣇⢸⠀⠀⡀⢀⠉⣚⢴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⢤⠶⠓⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⢦⣷⠘⠀⡟⣿⣯⢻⣿⠀⠀⠀⠀⠀⠀⣻⠟⣾⠸⢧⠀⠁⡽⠋⠶⠶⠤⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⢤⠲⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⡟⣿⣻⣾⣷⣸⠀⠀⠀⠀⠀⠀⣷⣶⣷⣟⡿⢻⡿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠚⠒⠤⠤⣀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠶⠻⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⡶⣷⣦⣙⠀⠀⣸⠀⠀⠀⠀⠀⠀⡇⠀⠀⠋⣠⣾⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⡤⣠⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⢣⠈⠀⠀⠀⠀⠀⠀⡇⠹⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠀⢁⡼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⡞⣠⢧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠙⠀⠀⠀⠀⠀⠆⣤⢤⠳⠉⠚⠒⠓⠙⠋⠖⠤⠤⠦⠿⣀⠀⠀⠀⠁⠉⠉⠚⠛⠖⡤⣀⠀⠀⠀⠀⢧⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠲⠛⠙⠉⠉⠀⠀⠀⠀⢰⠀⠂⠟⣖⣤⣗⠾⠙⠈⡄⠀⠋⠖⡤⣹⢀⠁⡔⢀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠳⣸⡀⣀⢤⠦⠒⠖⡯⣦⠙⠈⠋⠔⣦⠘⣀⢤⣠⠀⠀⠀⣇⠛⣠⣀⣄⠦⠓⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢸⠀⠀⠀⠀⠀⠁⢰⠿⣾⣀⣦⢿⠐⣇⠈⠀⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⡟⣤⢀⠀⠀⠀⡀⢤⡤⢸⠀⠀⠀⠀⠁⣼⠀⠀⠀⠀⠁⡞⢀⠀⠀⠋⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠹⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠁⡼⠀⠀⠀⠀⠋⡰⠀⠁⠊⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠈⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⡇⢠⠀⠀⠋⣠⠀⠀⠂⠶⣲⠒⠴⡠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠙⠀⣇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠋⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⡷⠐⠀⠀⠀⠀⠀⠀⡗⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠛⠒⠛⠓⠓⠒⠒⡗⠂⢒⡟⡿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀ ⣶⣤⡶⡧⡅⣮⠃⡇⠉⠈⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀ ⠛⡷⢨⡇⠃⢴⡇⡗⠀⠃⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠘⠀ ⣹⢍⢮⡗⡄⢨⡸⡇⡇⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠔⡠⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⣩⣈⢁⡇⠟⢩⡏⡗⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣻⠿⠛⡈⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀ ⣉⣀⣀⡅⣀⢀⠀⣇⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⣿⣾⢀⠀⣆⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣠⠀⡇⡿⣿⣼⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢐⣆⠹⠉⠊⠒⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀ ⣿⢧⠀⡇⣹⣺⢣⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢆⠛⡿⣿⣋⠔⣠⢀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⣦⡄⠀⠇⠉⠉⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠄⣿⣯⣤⢀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⣤⠿⠸⡇⠀⡀⣗⢸⠀⠀⠀⠀⠀⠀⠀⠊⢠⠀⠀⡀⢠⠀⠀⠀⠀⠀⠀⢣⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢠⠀ ⠉⣩⢻⡟⠍⢩⡯⢸⠀⠀⠀⠀⠀⠀⠎⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⣾⣶⢳⠇⡃⣛⣟⢸⠀⠀⠀⠀⠀⠃⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠢⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀ ⣀⣛⢛⡾⠿⠻⣿⢸⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢩⠖⠠ ⠋⣾⢠⠀⠀⣄⣷⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⢀⠀⠀ ⣷⢠⠀⠀⠀⠀⡀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀

⠀⠀⠀⡇⠠⠀⠀⠀⣵⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⡇⠀⠀⠀⢽⠀⠀⠀⠀⠉⠉⠏⢉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⡇⢩⠊⠔⠤⣀⣀⣀⣅⣰⠁⣶⠘⠀⠀⡇⠀⠜⣀⠀⠀⠀⠸⠀⡀⣀⢤⠢⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡎⠀⠀⠋⠴⣧⢀⠀⠀⠀⠀⠀⠃⡰⠛⡠⠀⡄⠻⠈⡀⢸⢸⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⡀⢄⠲⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⠞⣠⠀⠀⠀⢢⠙⠀⠀⠀⠃⣻⡴⢹⠃⠘⠀⢻⣄⠣⡟⣷⠈⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠑⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⣀⠢⠃⣽⢁⠉⡏⣿⣿⠻⣼⠀⠀⣄⢿⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠳⠈⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠁⠋⠛⠟⠿⡿⣿⣿⣿⣿⣿⣿⣾⣷⣿⠻⠉⠙⡏⣷⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠈⠀ ⠀⠀⡇⠋⠟⠿⣿⣿⣿⣿⣿⣶⣤⣠⣀⢀⣀⢀⠀⠀⠀⣄⣿⣿⠘⣄⡷⣿⣤⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳ ⠀⠀⡏⣿⣿⣿⣿⣿⣴⣠⢀⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⣇⣿⢸⠀⠀⣦⢻⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠁⠉⠉⠉⠉⠋⣬⣥⣿⣿⣿⡿⢠⠀⠀⠀⣧⣼⠱⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣿⣰⠀⠀⠀⠀⠀⠴⣠⣀⣀⣀⣉⣿⣽⢛⣿⣿⣿⣾⢰⠀⠀⠀⠀⡇⢿⠈⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⣼⢄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠁⡭⣻⣞⣴⣀⣇⣿⣿⢀⠀⠀⠀⠀⠀⡾⢀⣆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡟⢀⠀⠀⠀⠀⠀⠋⠀⠀⠁⠟⡿⣤⢂⠙⠀⠀⠀⣇⢹⠀⠀⠀⠀⠀⠉⠓⠈⠀⣄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠇⣴⠃⠞⣠⢀⠀⣀⣀⢀⣀⠄⠤⣀⣉⢙⠭⠠⠤⣀⠀⠀⡀⣀⣀⣄⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠘⠀⠀⠉⠉⠟⣹⠚⣴⢤⠠⠒⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠆⢿⢈⠀⠀⡀⣀⣀⣄⢠⠀⠀⠀⠀⠀⠄⢠⠀⠋⡖⣠⡀⡏⣿⣉⠶⠛⠈⠀⠀⠀⠀⠀⣄⠲⠙⠀⠀⣄⣦⠙⠀⠀⠀⣀⢷⠈⠀⠄⠈⠀⡀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⢧⠉⠈⠀⠀⠀⠀⠀⠃⠈⠀⠆⠙⠀⠂⡴⢀⠁⠞⡤⢀⡏⣻⣯⠷⢛⠈⠀⠀⠀⠀⠀⠀⡀⠄⠶⠿⠿⡛⢿⠛⠉⠈⠀⣦⠙⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣧⣜⠦⠶⠶⠶⡶⣑⣭⠻⠉⡀⢷⠀⠀⠞⣠⠀⠃⠞⣳⣿⣵⣛⣉⣤⠷⠿⠿⠶⠶⠶⠲⠒⠙⡈⣦⡹⣄⣷⣿⣿⠻⠈⣆⠹⡄⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢤⠶⣝⠻⠈⠀⠀⠀⠀⡀⢦⣙⢬⠶⠛⠉⠁⠋⡾⣠⢋⡾⢂⡾⣿⣿⢿⠿⠉⣁⠈⠀⠀⠀⠀⠀⣄⢷⣟⢻⠀⣧⣿⣿⢿⠈⡄⢷⣏⠈⡄⠹⠀⡀⢳⠈ ⠀⠀⠀⠀⠀⡀⢤⠶⠙⡉⣈⣦⠿⠙⠀⠀⠀⠀⡀⣄⠦⠲⣙⣯⣻⠛⡾⣠⠀⡁⠟⣴⣀⣿⣠⣄⣦⣿⣹⢬⠦⠲⠓⠉⠈⡆⣷⠸⠀⣧⣿⣿⢺⠈⡄⣿⢰⠈⡀⢣⠈⡀⢦ ⠀⠀⠀⠀⠀⠀⠀⠋⠟⣿⣶⣾⣶⣷⣿⠻⠉⠀⠀⠀⠀⠀⠀⣅⣿⣠⠀⠀⠃⣼⢀⠁⡞⣠⠀⠀⠀⣄⣷⢿⠀⠀⠀⡀⣄⢷⣿⣿⠘⡀⣿⣿⢿⢻⠛⡿⣼⣤⣤⣦⣤⢤⠷ ⠀⠀⠀⠀⡀⣃⣿⣴⣤⣤⢦⠒⠓⠀⣀⣄⣷⢿⠛⠀⠀⠀⠀⡇⣼⠀⠀⠀⡟⠙⠟⣠⠀⠀⢧⠙⠛⠙⠛⣿⢠⠀⠀⠀⠀⠀⣷⣿⢠⠀⡇⣿⣿⣼⢀⡆⠰⠀⠀⠀⠀⠀⡄ ⠀⠀⠀⠀⠃⣾⢀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⣇⣿⢷⠛⣷⠈⡟⢸⠀⠀⠁⣿⣿⢠⠀⠀⠀⣧⣾⣥⣯⣾⣠⠀⠀⠀⠀⠀⠀⡀⣷⠸⠀⡇⣿⣿⢧⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡛⣿⡇⣼⣷⢿⣿⠘⠀⠀⡇⣿⣿⠀⠀⠀⠀⠀⣄⣡⢀⠀⠀⠀⠀⠀⠀⠀⠛⠉⡏⢹⠀⡇⣿⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡄⢻⡇⣿⣿⢻⠀⠀⡇⣿⣿⠀⠀⠀⠀⠀⠀⣤⢠⠀⠀⠁⠼⣤⣠⣀⢀⠀⣏⣿⢀⡇⣿⣿⣿⣷⢿⠛⠙⠉⠈⠁⠉⠁ ⠀⠀⠀⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⠀⣦⣿⣿⣿⣿⠈⠀⡄⣿⣿⢸⠛⠴⣤⣤⣤⠻⠀⠀⠀⡷⠉⠛⠿⠻⠞⣴⣧⢿⢀⡇⣿⣿⣿⡇⣿⣾⣿⣾⣿⣿⢸⠃ ⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⠙⠟⣾⣆⢻⣦⢻⠀⠀⡇⣿⣿⢹⠉⠿⣿⢞⣠⠀⠀⠀⠀⢛⣛⠒⠐⠀⠀⣿⣿⠀⡇⣻⣿⣹⡇⣿⢸⣟⢿⡟⣿⣿⣠ ⠀⠀⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⢀⠀⣦⠛⣧⠹⠀⠀⣿⡻⣀⣀⢒⠄⠤⠠⠀⠀⠀⠀⠁⠋⠛⠚⠐⠀⣇⣸⠀⡆⣧⣿⢠⡇⣿⢃⣿⣆⢿⣿⢧⠘ ⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠘⠀⠀⡇⣴⠘⠀⠀⣦⢻⣷⠙⠀⣆⣿⢻⠁⠋⠛⠛⠙⠈⠀⠀⠟⣶⣤⣀⠀⠀⠃⣿⢸⠀⠁⣿⢸⠀⣿⢰⠀⠉⠟⣿⢸⡄⢻ ⠀⠀⡇⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣴⠀⠀⠀⡏⠻⢀⠀⠀⠀⣄⣿⣷⠹⠀⡀⣷⣿⣽⣳⣿⣛⣈⢦⠿⡛⢯⠙⠀⠀⠁⣿⣾⢀⠀⡟⣸⠀⡇⣿⠛⡾⣤⢀⡏⢰⠀⣠ ⠀⠀⡇⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣼⠀⠀⠀⠏⣼⡀⢷⠘⠀⠀⠀⡀⣷⣿⠻⠀⠀⣄⣷⣿⣿⣻⣦⠻⣯⣿⣿⢿⠈⠁⣿⣿⢰⠀⡇⣽⠉⠟⡾⣠⢀⠀⠁⠏⣸⠀⠀⠿ ⠀⠀⡇⢼⠀⠀⠀⠁⠉⠉⠚⠖⠶⣿⣤⠦⠤⡿⣰⠀⠀⠀⣦⠻⠈⠀⠀⠀⣦⣿⢿⠙⠀⠀⣀⣀⣦⠹⡀⣷⣿⣼⡀⣦⡿⣿⣰⠁⠋⣿⣾⣤⣀⠀⠀⠀⠁⡟⣿⢻⠀⠀⣾ ⠀⠀⡇⣿⠋⠾⣤⣠⣸⠀⠀⠁⠉⣿⠀⠁⠞⣠⠀⠀⠀⠀⠋⠀⣀⠀⠀⠀⠀⡀⣶⣿⠻⠀⠀⠀⠀⠀⠀⡀⣀⢀⠀⡏⣿⣿⡶⣴⣀⢀⠀⠀⠀⠀⠀⠏⣴⣏⣿⣾⠀⠃⢿ ⠀⠀⡀⣾⣀⠀⠀⠏⢺⠗⠼⣠⣞⣼⠁⡾⢀⠀⠀⠀⠀⠏⣸⠀⠀⠀⠀⢦⠻⠈⠀⣇⣮⢶⠙⠉⠉⠉⠉⠉⠉⠉⠟⣶⣤⢀⠀⠀⠀⠀⠀⠀⠁⠋⡶⣡⠟⣰⡇⢰⠁⡟⢸ ⠀⠀⠀⢡⠛⠀⡇⣠⠃⣸⠀⡞⢀⢧⣼⠀⠀⠀⠉⠟⡶⣠⠀⠀⠀⠀⠀⠀⡀⣄⠶⡶⢙⠀⠀⣀⣀⣒⣀⣂⣴⣠⢀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣴⢋⠞⣴⢀⠇⣰⠁⡟⣠⢀ ⠀⠀⠀⡄⣇⠸⡄⠀⡜⠀⡞⢠⠃⡿⢺⠀⠊⡠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⣤⢷⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠶⣤⢀⠀⣀⠀⠀⠀⠀⠁⡿⢸⠀⠁ ⠀⠀⠀⠀⡇⢸⠰⠂⠰⠆⢠⠀⣧⣸⣦⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣀⣀⣄⠦⠙⠉⠉⠉⠉⠉⠛⠛⠶⡴⣀⠀⠀⠀⠀⠀⠉⠈⠁⠋⠾⣿⣸⠀⠀⠀ ⠀⠀⠀⠀⡆⢸⠀⠀⠀⠀⠀⠀⡄⢲⠉⣏⣿⠹⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠶⠓⠉⠩⠀⠀⠀⠀⠀⣀⣉⣯⣶⠛⠉⠉⠈⠀⠀⠀⠀⠀⠋⡿⣾⣴⣠⢧⠛⣼⠀⠀⠀⡀ ⠀⠀⠀⠏⠿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡈⣷⣌⠲⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠒⠶⡤⣀⢀⠀⡿⡴⣈⣄⢤⠤⠤⠧⣽⣀⣄⢶⠻⠈⠀⣏⢸⠀⠀⠀⠀ ⠀⠀⠃⣿⣿⢿⠙⠀⠀⠀⠀⠀⠉⠞⡴⣀⠀⠀⣀⠶⡙⣉⢤⠶⠶⠒⠛⠒⠒⣿⠞⠶⡶⣠⣀⠀⠀⠉⠋⠶⡤⣀⣟⣤⣳⢬⠳⠯⠈⡆⣄⢸⠀⠀⡀⣄⣾⣼⢣⠀⠀⠀⡽ ⠀⠃⣿⣿⣼⣶⣿⢿⠿⠿⡾⣰⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⠶⠒⠉⠉⠉⠉⣯⠉⠉⠉⠉⠚⠶⡤⣀⠀⠀⠀⠀⣿⠈⠀⢿⠀⣧⣦⢻⠈⣇⠀⠀⠃⡿⣿⢰⡀⢀⠀⡀⣀ ⠃⣿⣿⣿⢹⠛⠿⣻⣿⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣟⣀⣀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⡆⢻⠀⣇⠀⡇⠀⡇⢰⡇⠀⠏⣰⣏⢰⠀⠀⠀⠀⠀⠀ ⡆⣿⣼⠀⣏⣿⣾⣧⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⡀⢯⠙⠈⠀⠀⠏⣠⠀⡀⠀⡆⠀⡄⠀⡟⡼⢁⡟⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⣆⢻⡟⣿⣽⠛⢳⣧⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣠⠀⠀⠀⠀⠀⠀⠀⠹⠀⣄⠶⠟⣴⠀⠀⠀⠀⠀⠀⠐⡇⣻⠟⣴⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⣀⣀⠀⠀⡏⠼⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⢠⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣿⢠⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⣸⠀⠀⠀⣤⠳⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠳⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⢸⠃⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡿⡴⢀⠀⠀⠀⠀⣁⣭⠿⠛⠛⠛⠛⠛⠛⠛⡿⣷⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠿⠛⠛⠛⠟⣿⣽⣧⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⣸⠀⠁⡋⠟⡴⣠⢀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⠳⣟⣿⢿⠛⠙⠉⠀⠀⠁⠋⠛⠛⠛⠛⠉⠉⡟⡶⣿⣿⢬⢃⡿⢛⡟⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⣿⡙⢂⡀⢀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣀⣦⠧⣿⣿⣤⠀⠀⠉⠉⡈⣤⣶⠙⠀⠀⡄⣿⣧⢿⣷⣼⣠⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣶⢷⠙⠏⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡏⣿⣰⠀⠄⣤⣀⢀⠀⠀⠀⠀⡀⣄⣤⠦⣿⠻⣷⣿⢹⠀⣿⣿⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠚⠴⣤⣃⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠈⣇⣤⣦⣿⣿⣿⢠⡄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠀⠀⠀⠀⠀⠀⠀⠋⠴⣠⢀⠃⠀⠀⣾⠁⠛⠟⢿⠾⠶⠶⠛⠙⠀⠀⠀⠋⠟⣾⢿⣿⡛⠙⡟⣾⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⡤⢀⠀⠀⠀⡇⠁⡿⢿⣿⣿⣿⣿⣷⢿⡷⣿⣿⢿⠟⣿⣿⣿⣿⢉⣟⣿⣿⣿⢠⣼⣾⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⡟⣼⣟⣿⣿⣿⣼⡏⠉⢟⣿⣿⣿⣿⣿⣿⣿⣄⣿⣠⣿⣾⣏⣌⡇⢿⢸⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡟⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣰⠃⣿⢀⣳⢸⡇⣇⢰⣼⢿⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠼⣿⢸⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠁⠋⣾⢁⠟⣰⠀⣸⡄⠀⣿⣹⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣟⣿⣿⣿⣿⣩⣿⣿⣿⣿⣿⣷⣿⢉⣿⢸⡟⣄⢋⡿⣰⠀⡆⢀⠘⠀⣌⡁⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⣿⣿⣿⣿⡿⣿⣿⣿⠟⣸⡶⣆⣠⠀⠀⠀⠇⢰⠀⠁⡔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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