Breast Manipulation Emojis & Text

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

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

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

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

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

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