Nicki Minaj Emojis & Text

Copy & Paste Nicki Minaj Emojis & Symbols 👸🏾🦄✨🎶✨ | 🎀🖤💅👑

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