Hololive ASCII Art

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

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