🐺🐾 🦊૮⍝• ᴥ •⍝ა૮⍝• ᴥ •⍝ა૮⍝• ᴥ •⍝ა૮⍝• ᴥ •⍝ა૮⍝• ᴥ •⍝ა૮⍝• ᴥ •⍝ა૮⍝• ᴥ •⍝ა૮⍝• ᴥ •⍝ა
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣦⣤⣤⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⠛⠉⠉⠉⠀⠀⠂⠀⠐⠈⠉⠉⢉⠛⠻⠿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣴⣾⠿⣽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠢⢄⡉⠻⣏⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⡾⢿⡹⣭⡿⣵⣶⡗⠀⠀⣀⠒⠀⠀⢀⣌⣠⣍⣤⣁⣄⣀⣶⣦⣖⣋⠦⡈⠳⣀⠀⠀⠀⠀ ⠀⠠⠾⠿⢽⣿⣿⣿⣿⣾⣿⣾⣿⣿⠟⢟⣛⣛⠻⢯⣍⠟⠞⠻⠽⠯⠿⠒⠚⠋⠻⣷⠶⠿⠆⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⠿⢿⣻⡏⠽⢂⣉⣉⣭⣤⣤⣍⠉⠉⠀⠰⠒⣾⣿⣿⣿⣷⣶⠤⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣻⢿⡍⣸⣁⣴⠞⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⠀⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣝⣿⢳⣹⡋⠁⠀⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡿⠀⢿⡿⣆⠀⠀⠀⠀ ⠀⠀⢀⣼⢿⣺⣿⢹⠀⠳⡀⠀⠘⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠻⣿⣿⣿⡿⠁⠀⢸⣷⠘⢦⡀⠀⠀ ⣤⣶⣿⢫⣞⡽⢺⡥⢂⡝⠀⠠⠀⠈⠛⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢸⣿⠚⢀⠙⠲⣤ ⠈⠳⣞⣯⠟⣠⠸⣧⡈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣷⣀⢈⣶⠞⠁ ⠀⠀⠈⠳⢮⣘⠁⠙⢷⡬⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣳⡽⠟⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠙⠛⠙⠳⢭⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⢞⠋⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣢⣽⡟⣒⣶⣲⣚⣚⣛⠋⢭⣙⣿⣿⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⣿⣿⣿⣷⣮⣥⣉⣠⣅⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠉⠉⠉⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠤⠀⠠⢄⠀⡠⠔⠒⠒⢦⠀⠀⠀⣸⢤⡀⢀⡀⠀⠀⠀⠀⠀ ⢔⠉⠀⣤⣤⠀⠀⡏⠀⢠⠲⡀⠀⠀⠀⠀⠀⠀⣀⠀⠘⡤⠒⠒⠐⢲ ⠈⢆⠀⠈⢁⣀⠀⠀⠀⠸⣀⠃⠀⠄⠀⢰⠀⠀⣿⠀⠀⠀⠀⣟⠀⢸ ⠀⠈⢆⠀⠈⠛⠀⢀⡦⣤⣤⡤⡾⠤⠤⢾⡤⣤⡿⡤⢤⣄⡀⠋⠀⢸ ⠀⠀⠈⣆⣠⡤⠖⠋⠀⠀⠀⢠⡃⠀⠀⠈⣧⠀⠀⠀⢸⠀⠙⠃⠀⣼ ⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠎⡷⢤⣠⣴⡏⡀⠀⠀⠀⠑⠦⠴⠞⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣤⡇⢸⡇⢰⣠⣥⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢀⣨⠬⢹⡏⠭⢇⣀⠅⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢀⡠⠂⠘⠄⡀⠇⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⣎⢲⡱⣊⠵⣊⢗⡸⢪⡔⣣⠝⢦⣹⣿⡟⣆⠳⣌⡛⡼⢰⡃⢧⣋⠵⣊⠧⡓⢮⡱⢎⢎⡝⢲⣉⠞⣜⡸⢎⡴⢣⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡝⣢⠧⡱⢎⡵⢩⢲⣉⠧⡜⣥⢚⡕⣺⣿⡗⣬⠳⢬⡱⢎⡣⢝⡲⢌⢧⠣⡝⡼⠱⡜⢎⠮⡜⢣⢎⡹⢢⡕⡎⢶⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⡜⡥⣚⢥⠳⣌⠧⣓⢬⢣⢳⠸⡜⡬⣿⣿⢓⠦⡛⢆⢧⢣⠝⣪⠜⣍⢲⡹⢜⢲⡹⢜⡩⢖⠭⡓⡎⡵⢃⡞⡜⡥⣻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⡜⡱⡜⡪⡕⠮⡜⡥⢎⡓⡎⣇⢳⣱⣿⡟⣬⢓⡹⣊⢎⡎⣝⢢⢏⠼⣡⠞⣬⢃⡞⢬⢓⡎⢳⡩⡜⣜⠣⢞⢬⡱⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸⡱⡱⢣⣍⠳⡱⢎⡣⡝⡴⡩⠖⣽⣿⢳⡸⢬⡱⢎⢎⡜⢦⢋⡜⡎⣕⢺⡰⢭⡘⢧⡚⡜⡣⢵⢩⢲⡙⡎⣖⣱⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢢⢓⡍⢧⡘⢧⡙⢦⢓⡱⢎⡕⣫⣿⡟⢦⢣⡓⡜⡎⢮⠜⡎⡵⣊⠵⣊⠶⣡⠧⣙⠦⣓⠭⡱⢎⡣⢇⢞⡱⢦⣹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢌⡳⣘⢣⢝⡢⣝⢪⢥⢋⠶⣉⢶⣿⠟⣬⢃⡞⣡⢝⣊⠞⣱⠲⣉⢮⠱⣎⡱⢎⡥⢳⣌⠳⣍⠶⣉⠞⣬⢒⠇⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡘⣖⡩⢎⠶⣑⢎⢎⠶⡩⢞⡡⢾⣿⡙⢦⡹⣰⠣⠞⣬⡙⣆⡛⠼⣌⠳⢆⡝⢦⡙⡖⡬⢳⡸⢜⣡⢛⡤⣋⠞⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠸⡔⡭⢎⠳⡜⣊⠞⣜⡱⢣⡙⢾⣿⡙⢦⢣⠵⣩⢫⠴⣱⢊⡭⢓⡬⢋⡞⡸⢦⣙⠲⣍⢣⡜⢣⢎⠵⣊⢥⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢱⡩⠖⡭⢣⡝⢬⡙⢦⢍⠧⣙⢾⣿⡙⣎⠵⢪⡱⢎⠵⡢⢏⡴⢋⡜⣣⠞⡱⢦⡙⡼⢌⡣⢞⡱⣊⠧⣍⢎⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠢⠳⠹⠸⠑⠎⠣⠝⠪⠜⠎⠵⢺⣿⠱⠎⠺⠅⠳⠎⠣⠝⠦⠓⠭⠚⠴⠩⠳⠌⠳⠜⠣⡙⠦⠓⠥⢋⠦⠋⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠋⠦⢋⠥⠓⠦⡙⠣⠜⠳⠌⠳⠩⠴⠚⠭⠓⠦⠝⠣⠎⠳⠅⠺⠎⠱⣿⢺⠵⠎⠜⠪⠝⠣⠎⠑⠸⠹⠳⠢⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⢎⣍⠧⣊⡱⢞⡣⢌⡼⡙⢦⡱⠞⣣⡜⢋⡴⢏⡢⠵⢎⡱⢪⠵⣎⡙⣿⢾⣙⠧⢍⢦⡙⢬⡝⢣⡭⠖⡩⢱⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢻⢥⣊⠵⢎⢣⡜⢣⣍⠲⣙⢦⡸⡞⢋⡬⢓⡭⢊⣱⠴⢫⣩⠵⢣⢦⡙⣿⢾⡙⢣⡱⣜⠞⣊⡜⠳⢎⡭⡔⠸⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⠞⣋⡤⢛⣡⢜⡸⢳⡬⡖⡙⢦⡝⢆⠳⣌⠼⡛⣆⡙⣬⠞⠣⣰⡹⢦⡙⣿⢾⡡⢞⡩⠶⢎⢎⣑⠶⢎⡩⣖⡘⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠇⢒⣬⠞⣉⠶⣍⠳⣌⢳⡥⢎⡱⣎⠱⢮⣉⠲⣱⠞⣊⢝⣡⡞⢃⣬⠟⣿⢶⣉⠶⢋⢥⢪⣝⡢⢝⢣⣘⡳⢌⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣹⢦⡱⢞⢇⡣⢎⡱⠭⣓⠦⣙⠧⣡⠶⣊⠵⣊⡵⡎⠜⢮⡎⡜⡓⢣⢦⡟⣿⣫⡕⢎⡱⢓⢦⡙⢧⡘⢧⡍⢓⢢⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣱⣖⡎⡙⢲⢩⢵⡣⡜⡚⢧⡘⢭⡰⢺⣕⡎⡜⢋⢦⡜⢎⢎⡱⢬⡸⢳⣿⣽⠖⡩⡴⡝⡣⢎⡱⠳⣍⢣⡱⡱⢸⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⡱⢬⢞⠣⣜⡜⡩⢳⡎⢓⢬⡞⢃⣬⠞⣡⠼⢏⢢⣝⡎⢎⣊⡹⢓⣬⡟⣿⣱⢳⣇⡎⡓⢎⡥⡜⠮⡕⡪⡜⡱⡜⣿⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣻⡥⡜⡞⢃⡵⡎⡓⠭⢖⡩⢜⡹⢲⢜⡹⢲⣍⠜⣪⠝⢣⢧⢆⡛⠦⢓⣿⣿⡬⡜⠸⢳⢣⢬⣓⠧⣌⠳⢥⣚⡥⡜⣿⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢹⢶⡎⡕⢢⡹⢎⢣⡜⠮⢎⡜⠱⡼⡝⠣⢧⢌⡲⢝⡣⢎⡱⢬⠳⣬⡗⣿⣺⡕⢚⣥⡜⠧⣉⢲⢩⡵⢎⡱⠧⣢⡝⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⢣⡴⢎⡸⣜⠞⣉⢲⡝⢎⢎⡱⢮⡓⠧⣊⠵⣋⢧⡃⢰⡼⡛⣌⠳⣆⡟⣿⣹⢦⠝⣣⡔⢪⡸⢗⣊⠵⣊⡱⢲⣎⡟⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣓⡥⢓⢬⣓⠬⣓⡬⠞⢇⣌⡱⠞⢩⢶⡍⡱⠞⢡⣸⡳⢎⠱⢮⣋⢣⣿⣾⡙⢦⡙⢦⡣⢖⣉⢲⡝⡣⢔⣪⡝⢏⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⡣⢎⡱⡞⢋⣤⡛⢆⡱⢳⣌⡳⠜⢫⡤⢛⡦⠕⣣⡜⢋⢦⣉⠶⢋⣿⣿⢦⡙⢦⡜⣋⢰⢻⣆⡜⠧⣋⡥⢎⠳⣏⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⢭⡜⡱⠞⢣⣔⠫⣤⡜⠺⣍⠦⡝⢊⣱⠳⣥⡚⢣⡖⢋⣥⡚⢏⣿⣿⡢⢝⡩⢳⣆⠝⣣⠕⣣⡔⢫⠦⣙⠧⢣⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠜⡸⢳⡬⢓⣬⡚⣏⢆⡝⢎⣡⠞⣌⡞⡍⡱⡜⢣⣍⠲⣙⠧⣿⣿⣿⢾⢋⡰⡹⢦⡙⡴⡛⢡⣸⠶⣋⠦⣑⡿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠧⣌⠹⣪⠴⣙⠶⢋⣰⠞⢡⣸⠵⣎⡙⢎⡱⡝⢣⡬⡖⡙⣿⣿⢢⣷⣿⢛⣣⡜⢖⡩⡴⠞⣊⡝⢣⢏⣡⡳⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⢎⡥⠞⢇⣎⡑⡼⠛⣣⢇⣢⡜⡹⢎⠱⣬⠞⡩⠶⣊⢵⡎⣿⣰⣝⡢⣿⢺⢥⡜⢫⣑⡼⢋⢴⡚⢣⠱⣱⡿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⢎⢥⡚⢧⡑⢮⡕⠎⣙⡱⢲⢭⡖⡍⡱⢎⢭⡒⢭⢓⣩⠧⢎⣇⡒⢎⢧⡑⣪⠵⢎⡱⠧⢎⡱⣜⡜⡱⡯⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⢚⣱⠦⣚⠦⣙⡲⢍⡱⡱⠼⣙⡳⢆⡫⢆⡜⢣⣘⠶⡙⢦⡕⢣⣙⢧⣉⡳⢆⡱⢖⡩⢲⡜⡱⠮⣍⡱⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⡹⢧⢎⣍⠲⣎⡙⡴⠮⡜⠧⡩⢧⢎⣇⡘⢶⡍⢦⡙⣥⡚⢣⡜⠲⣙⡰⣝⡡⢳⣍⠧⣌⡳⢆⡬⡟⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⠿⢏⡩⢜⢮⡙⡵⢎⡕⢪⡱⢜⡸⢳⡜⢫⣑⢮⡕⡣⡜⢎⡜⣙⠲⣬⡚⣘⠶⡙⢤⡹⢲⣏⢇⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣴⣤⣦⣦⢶⠶⠻⠛⠛⠉⠈⠀⠀⠀⠀⠀⠀⣄⣷⣼⣶⣶⢿⡿⡟⡛⢻⣍⡹⠯⣍⠭⠭⢭⡢⢜⡳⢆⡜⢓⢦⡘⢳⣆⠗⣃⢦⡙⣭⠻⣟⠿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣻⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣤⣦⠶⠷⠛⠛⠛⠉⠉⣿⠻⠈⠀⠀⣠⣀⣄⣤⣠⣤⣼⣤⣤⣦⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⣶⣶⣴⣤⣠⣀⠃⣿⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣄⣤⣤⣶⣶⣶⠷⠿⠿⠛⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣸⡀⣤⢷⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣷⠹⠀⠀⠀⠉⠉⠈⠀⠀⠀⠃⠛⠛⠛⠙⠈⠀⠀⡃⣿⠀⠀⠀⠀⡀⣦⢷⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠿⣴⣶⣤⣤⣤⣤⢶⠿⣿⢹⠀⡀⣄⣦⢷⠛⡟⢸⠀⠀⠀⠀⠀⠀⠀⣀⣤⢷⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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