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(˚ ˃̣̣̥⌓˂̣̣̥ )(*ᴗ͈ˬᴗ͈)ꕤ*.ﾟ( ≧ᗜ≦)( ≧ᗜ≦)(๑'ᵕ'๑)⸝*♡ᰔ૮₍ ˃ ⤙ ˂ ₎ა-ˋˏ✄┈┈┈┈𓊆ྀི❤︎𓊇ྀི

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⠀⠀⠀⠀⠀⢀⠴⠒⢆⡶⠁⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠔⠁⢀⡀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠊⠀⢀⣴⢿⣃⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣙⡄⠀⠛⠹⡇⠀⠘⡇⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣎⠁⢱⠤⠂⠀⠂⠠⡄⠂⡶⠀⠀⠀⠀⠀⠀⢢⡀⠀⠀⠀⠀⠀⠀⠀ ⠘⢿⣧⡢⣀⠠⠀⠰⠗⢦⠣⡄⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢳⣿⡀⠀⠀⠀⠀⠀⠡⡐⠒⢄⠀⠀⠀⠀⠀⠘⢆⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣷⣤⡀⠀⠀⠀⠘⡇⠀⢸⡂⠀⠀⠀⠀⠀⠂⠱⡀⠀⠀⠀ ⠀⠀⠀⠀⠘⢿⣿⣆⠀⢀⠀⠈⠁⢦⡱⡄⢀⠀⠀⠀⠀⠀⠘⢆⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣿⣷⠲⠈⠀⠀⠀⡱⠀⢿⣁⠀⠀⠀⠘⠃⠀⠣⡀ ⠀⠀⠀⠀⠀⠀⠀⠙⣿⣶⣄⠀⠀⠀⠋⢹⠀⠀⢹⠆⠀⢀⢀⠤⠖⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⡀⠀⠀⠘⠠⠤⡘⢴⡷⠀⠀⢣⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣷⠀⠀⠀⠀⠴⠵⠉⠀⢀⠔⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣤⡀⢠⡀⠀⠀⡠⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠗⠉⠈⠒⠋⠀⠀⠀⠀⠀⠀⠀

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⠄⡡⢀⠐⠠⢀⠂⠄⡐⠠⢀⠂⠄⡐⠠⢀⠂⠄⡐⠠⢀⠂⠄⡐⠠⢀⠂⠄⡐⠠⢀⠂⠄⡐⠠⢀⠂⠄⡐⠠⢀⠂⠄⡐⠠⢀⠂⠄⡐⠠⢀⠂⠄⡐⠠⢀⠂⠄⡐⠀ ⡂⠔⠠⢈⠐⠠⢈⠐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⠁ ⡐⠌⡐⠠⢈⠐⠠⢈⠐⠠⢈⠐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂ ⡐⠂⠄⡁⠂⠌⡐⠠⢈⠐⠠⢈⠐⠠⢈⠐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠄ ⠄⢃⠐⠠⢁⠂⠄⡁⠂⠌⡐⠠⢈⠐⠠⢈⠐⠠⢈⠐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡀ ⠡⠂⠌⡐⠠⢈⠐⠠⢁⠂⠄⡁⠂⠌⡐⠠⢈⠐⠠⢈⠐⠠⢈⠐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠀ ⠡⡁⠂⠄⡁⠂⠌⡐⠠⢈⠐⠠⢁⠂⠄⡁⠂⠌⡐⠠⢈⠐⠠⢈⠐⠠⢈⠐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⠁ ⠡⠄⡁⠂⠄⡁⠂⠄⡁⠂⠌⡐⠠⢈⠐⠠⢁⠂⠄⡁⠂⠌⡐⠠⢈⠐⠠⢈⠐⠠⢈⠐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂⠌⡐⠠⢁⠂ ⡁⠆⠠⢁⠂⠄⡁⠂⠄⣁⠂⡄⣁⠂⡌⡐⢠⢈⡐⢠⢁⡂⢄⡁⣂⡌⣐⡠⣈⣐⡠⣈⡐⣠⢈⡐⢠⢁⡂⣌⢐⡀⣂⢄⣈⡐⣀⢂⠄⡈⣄⠠⢁⠂⠌⡐⠠⢁⠂⠄ ⢂⠌⡐⠠⢈⠐⠠⢁⢸⣿⡿⣿⡽⣟⡿⣽⢯⡟⣞⢯⡞⡽⣎⠷⣱⢎⢧⡳⠵⣎⡵⣋⡞⣥⢻⡜⣧⢻⡜⣞⢮⡳⣝⣮⣳⡽⣞⣯⢿⣽⣾⡇⠠⢈⠐⠠⢁⠂⠌⡀ ⢂⠂⠄⡁⠂⠌⡐⠠⠘⢯⣟⣷⣻⡽⣝⣮⣳⣝⣮⣷⣍⣷⢮⣹⢲⣭⣖⣹⣷⣾⣞⣯⠿⣭⣿⢟⣮⢳⣝⣮⡷⣽⢯⣞⣷⣻⣽⣾⢿⣯⣷⠇⠐⠠⢈⠐⠠⢈⠐⡀ ⢂⡁⠂⠄⡁⢢⣶⢧⣞⡾⣽⢲⣏⢾⣹⢗⡿⢿⡻⢶⡟⣯⢞⡴⣯⡿⢿⣻⡽⣾⣻⠿⣟⣿⢾⣿⣜⣧⣻⢿⣿⢿⣿⣿⣿⣿⣿⣯⣿⣿⣷⣶⣷⣦⡄⡈⠐⡀⠂⠄ ⠂⡄⢁⠂⡐⢸⣟⠾⣜⡳⣭⢗⣮⠳⣭⢚⡜⡧⡝⢮⡜⣱⢎⣳⢣⣝⡣⢷⡹⣜⣣⢟⡵⣫⣞⡽⣞⡾⣽⣻⢾⣟⣯⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⡿⠀⠡⢀⢁⠂ ⠅⡐⡀⠂⠄⣹⢯⡻⡵⣻⠓⣏⡖⣫⡞⠛⢮⡕⡻⣼⠟⡧⢞⡥⢏⡶⣙⢧⣳⡽⢮⣟⣼⣳⡽⣾⣽⣻⣷⠛⣿⣿⣿⡿⠛⠻⣿⣿⣿⠟⣿⣿⣿⣿⡗⢈⠐⡀⠂⠄ ⠌⡐⠠⢁⠂⢸⡷⣹⡱⣿⠀⠛⠞⠃⡀⠂⠄⠙⠳⠛⠀⠻⠞⠞⠳⠞⠻⠞⠁⡀⠄⠈⠳⠟⠿⠳⠟⠷⠟⠀⠸⠿⠋⠀⠄⢂⠘⠻⠟⢀⢸⣿⣿⣿⣟⠀⠂⠄⡁⠂ ⣁⠂⡁⠂⠌⢸⡳⢵⣩⢷⠀⣡⢢⠐⠠⠁⠌⢠⣥⡄⠁⣦⡴⣬⠴⣤⣥⣄⠂⠐⡈⠐⣠⣴⣤⣴⣤⣦⣄⠈⣰⣤⠂⠡⠈⠄⠂⣴⣌⠠⢸⣿⣿⣿⣗⠈⡐⠠⠄⡁ ⠄⡂⠄⠡⢈⢸⡽⢦⢧⢿⣠⡟⣣⢟⣤⣁⣼⠳⣎⣿⣐⣯⢞⡵⣻⢗⡾⣽⣷⣤⣤⣿⣿⡿⣽⣯⣿⣽⣿⣀⣿⣿⣿⣤⣁⣬⣿⣿⣿⣄⣿⣿⣿⣿⡷⠀⠄⡁⠂⠄ ⡂⠡⢈⠐⠠⢸⣏⠯⣍⢏⡶⣙⢦⢏⣾⢿⣯⡿⣿⣮⣟⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⠂⠄⡁⠂ ⡐⡁⠂⠌⡐⠘⠮⠷⡬⣯⢼⣙⢮⣛⢾⡿⢿⡷⣿⣯⣟⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⣿⣿⣿⡿⠟⢀⠁⠂⠄⡁ ⡐⠄⡁⠂⠄⡁⢂⠐⢠⣞⢧⢯⣳⣻⢮⣽⢯⡷⣯⣷⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⢿⣻⣯⣿⣿⢿⣧⡀⢀⠠⠐⠠⠈⠌⡐⠀ ⡐⠂⠄⡁⢂⠐⡈⠐⢸⣯⡞⣯⢷⣯⣟⣾⣻⣽⣷⣻⣽⣾⣯⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣷⣿⣯⣿⣯⣿⣾⡿⣿⣿⣻⣿⢾⡿⣿⡅⠂⠄⡁⢂⠁⠂⠄⡁ ⠄⢃⠐⡀⢂⠐⠠⢁⠂⠑⠚⠒⠓⠒⠚⠒⠓⠒⠒⠓⠒⠒⠒⠒⠒⠓⠒⠒⠒⠚⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠓⠒⠒⠓⠒⠓⠚⠚⠀⠌⡐⢀⠂⠌⡐⠂⠄ ⠡⢂⠂⡐⠠⢈⠐⠠⠈⠄⠡⢈⠐⡈⠐⠠⠈⠄⡁⢂⠡⠈⠄⠡⢈⠐⡈⠄⡁⢂⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⡁⢂⠡⢈⠐⡈⠐⠠⠁⠌⡐⢀⠂⠌⡐⠠⢁⠂ ⠅⡂⠐⠠⢁⠂⠌⠠⠁⠌⡐⢀⠂⠄⡁⢂⠁⢂⠐⡀⢂⠡⢈⠐⡀⢂⠐⠠⠐⡀⢂⠡⠈⠄⠡⠈⠄⠡⠈⠄⡁⢂⠐⡀⠂⠄⠂⠄⡁⢂⠁⢂⠐⠠⢈⠐⠠⢁⠂⠄ ⢂⠡⢈⠐⠠⠈⠄⠡⢈⠐⡀⠂⠌⡐⢀⠂⠌⡀⢂⠐⡀⠂⠄⢂⠐⠠⠈⠄⠡⠐⡀⢂⠡⠈⠄⠡⠈⠄⡁⢂⠐⡀⠂⠄⠡⢈⠐⢂⠐⠠⠈⠄⣈⠐⠠⢈⠐⠠⠈⠄ ⡁⠆⠠⠌⠠⠁⠌⡐⢀⠂⠄⡁⢂⠐⠠⢈⠐⡀⢂⠐⠠⠁⠌⠠⠈⠄⠡⠈⠄⠡⠐⡀⢂⠡⠈⠄⡁⢂⠐⡀⠂⠄⠡⢈⠐⠠⠈⠄⡈⠄⡁⠂⠄⡈⢐⠠⠈⠄⡁⠂ ⠔⡈⠐⡈⠄⡁⢂⠐⠠⢈⠐⡀⠂⠌⡐⢀⠂⡐⠠⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠐⡀⢂⠁⢂⠐⡀⠂⠄⠡⢈⠐⠠⠈⠄⡁⢂⠐⠠⠄⡁⠂⠌⡀⢂⠁⠂⠄⡁ ⢂⡁⢂⠐⠠⠐⠠⢈⠐⡀⠂⠄⡁⢂⠐⡀⠂⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⡁⢂⠐⠠⠈⠄⠂⠄⠡⢈⠐⠠⠈⠄⡁⢂⠐⠠⢈⠐⠠⡀⠅⢂⠐⠠⠈⠌⡐⠀ ⠡⠐⠠⠈⠄⡁⠒⡀⠂⠄⡁⢂⠐⡀⠂⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⡁⢂⠐⠠⠈⠄⠡⢈⠐⡈⠐⡠⠈⠄⡁⢂⠐⠠⢈⠐⠠⢈⠐⠠⠈⠄⡈⠄⡁⠂⠄⡁ ⣁⠃⠄⡁⠂⠄⠡⢀⠁⢂⠐⡀⠂⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⡁⢂⠐⠠⠈⠄⠡⢈⠐⡀⠂⠄⠡⢀⠁⢂⠐⠠⢈⠐⠠⢈⠐⠠⠈⠄⡁⢂⠐⠠⠄⡁⠂⠄

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⠀⠀⠀⠀⠀⠘⠈⠉⠉⠈⠁⠙⠛⠶⣔⣄⡈⡙⢢⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣮⢈⡆⠹⠀⠀⠀⠀⢤⠀⠀⠀⠀⠀ ⠖⡄⣀⡐⠄⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣀⡡⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⡨⠃⠀⠀⠀⢀⠀⠀⠑⡀⢀⠀⠀⠀⠈⠒⠻⣽⠣⣀⠠⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠀⠀⠀⡘⡦⡢⡀⠐⡕⣮⣶⢲⠒⢒⣾⣯⣳⣵⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠧⣦⠀⠸⡳⠿⠗⠪⠖⠘⠨⠁⡼⠄⠈⢿⣿⣷⣷⠾⠐⠒⠀⡅⠀⠀ ⠀⠀⠀⠀⡐⢸⢻⣔⢌⣠⠀⠀⠀⠀⠀⢀⠞⠀⡎⠺⣿⣿⣁⣀⡀⠄⠞⡀⠀⠀ ⣤⣤⣴⠥⠐⣺⣯⣿⣷⠼⣁⢂⠤⣀⠔⠁⣰⣾⠀⠈⠟⣹⣧⣀⠂⠉⠀⠀⠀⠀ ⣻⣿⠥⠠⣾⣿⣿⣖⠋⠁⣃⣿⠀⠨⠦⠊⠁⣠⣷⣄⣰⣇⣈⡽⣩⣧⣶⠖⠀⠀ ⠀⢺⣯⠐⠻⣿⠿⠿⣿⣿⠁⢿⣷⣄⢀⣀⢴⢋⢾⢹⡿⢶⣶⣾⣿⣿⡿⠲⢄⠀ ⠀⠈⠻⣧⡀⠀⠉⠶⢿⣟⣦⣨⠪⣏⠶⢈⣾⢆⢹⣾⣃⣾⡿⠿⡛⠓⢁⣐⠤⡇ ⠀⠀⠀⠈⠻⢆⠀⠠⢺⣷⣿⣧⠀⣯⡛⡦⠈⣬⣿⣷⣿⠁⠔⡡⠔⠈⠈⡂⡜⠁ ⠀⠀⠀⠠⡤⠤⡊⠁⠈⢻⣿⡿⡄⣷⣷⡄⠀⡇⢻⣯⣿⡿⠊⠀⠀⠀⣰⣯⠀⠀ ⠀⠀⠀⠀⠠⠊⠀⠀⠀⣾⣹⠁⡟⣿⠻⣿⣄⣇⣽⣿⣿⠁⠀⠀⠀⣰⣿⣿⣷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠀⢣⢿⠇⢈⣿⢯⣼⣿⡏⠀⠀⠀⠀⣼⣿⣿⣿⣷

🤷‍♀️📏🛞🪒🛴🛳️®️

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⡁⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣅⠈⠻⣦⡀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⢿⣧⡈⠻⣷⣄⠈⠻⣦⡀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣇⠀⠙⢿⣤⠈⠻⣷⣄⠈⠻⣦⡀⠙⢷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣷⣄⠀⠙⢿⣦⡈⠻⣷⣄⠈⠻⣦⡀⠙⢷⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⣷⣄⠀⠙⢷⣆⡈⠻⣷⣄⠈⠻⣦⡀⠙⢷⣄⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣷⣄⠀⠙⢿⣦⠈⠻⣷⣄⠈⠻⣦⣴⣿⣷⡄ ⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠙⢿⣤⡈⠻⣷⣴⣿⣿⣿⣿⠏ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠙⢿⣶⣿⣿⣿⣿⠟⠁⠀ ⠀⣠⣾⣆⠈⠻⣿⣿⣿⣿⣿⠿⠿⠛⠉⠀⠙⢷⣶⣿⣿⣿⣿⠟⠁⠀⠀⠀ ⠺⣿⣿⣿⣷⣄⡈⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠈⠻⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⢃⣠⣴⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡟⢉⠉⢿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣧⣈⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⠟⠁⠀⢾⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⢾⣷⣌⠻⣿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣌⠙⢿⣿⣷⣄⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⣄⠙⢿⣿⡇⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣷⣄⠹⠃⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠟⠀⠀⠀⠀ ⠀⠀⠈⠻⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⣭⣉⡉⠒⠺⢿⣋⠻⡗⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⢦⣀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⠿⣿⣶⣄⠀⠙⣷⠇⠀⢻⣭⣛⡶⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠁⠀⠈⠉⠓⠒⠲⠶⠚⠛⠉⠀⠀⠀⠀⠀⠀⠈⠓⠸⠫⠐⠚⢻⣧⣬⣇⠀⠈⠹⣷⡦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⡗⠲⡜⠿⠾⠿⢦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣇⠀⠀⠀⠀⠘⢷⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣈⡷⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⡳⠐⢤⠀⢹⣼⡇⠀⠀⠀⠀ ⠀⠀⠀⠈⢧⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠹⣄⣬⡇⠀⢻⣿⠀⠀⠀⠀ ⣤⠤⠤⠖⠊⠁⠀⠀⠀⠀⡄⠀⠀⢀⠴⢫⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠘⣷⠀⠀⠈⣿⡀⠀⠀⠀ ⠹⣦⠀⠀⠀⠂⠀⠀⠀⠈⢀⡤⠞⠙⠦⢸⠀⠀⠀⠀⠀⠀⢀⠞⢧⣀⡠⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠘⢧⡀⠀⢹⡇⠀⠀⠀ ⠀⠙⢷⣀⢀⠀⠀⠀⡴⢚⣉⣀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⡞⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣤⣄⣀⣙⣦⣼⡇⠀⠀⠀ ⠀⠀⠀⠈⣻⡀⠀⢰⢁⠏⠉⢉⣿⣷⣄⠀⢧⠀⠀⠀⠀⢰⠁⢀⣀⣤⣿⣦⣄⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⠉⢳⠀⣷⠀⠀⠀ ⠀⠀⠀⠀⣿⣇⠀⢸⠀⠀⢀⠛⣿⣿⣿⡀⠈⢦⠀⠀⠀⢸⣺⣿⣿⣿⣦⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣾⣤⣿⡀⠀⠀ ⠀⠀⠀⠀⢻⠘⢧⣘⡆⠀⠸⣿⠛⢻⣿⠁⠀⠀⠳⢄⡀⠸⣦⣼⣿⣿⣿⡇⠀⠈⠀⡟⠓⠲⠤⠤⣤⣤⣴⣿⣇⠈⢹⣧⠀⠀ ⠀⠀⠀⠀⠸⡆⠀⢹⡅⠀⠀⠉⠛⠛⠀⠀⠀⠀⠀⠀⠉⠑⠻⣯⣈⡽⠟⠁⠀⠀⣸⠁⠀⠀⠀⢠⣿⣿⣿⢧⢯⡇⣸⠟⠀⠀ ⠀⠀⠀⠀⠀⢳⡀⠸⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⢀⠄⢠⣿⣿⠛⢿⡛⣫⡾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢧⠀⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⣠⣴⠚⠁⣠⡿⢶⠇⠀⠀⢻⡃⠀⠀⠀⢀⡴ ⠀⠀⠀⠀⠀⠀⠀⠛⠇⠙⢿⡶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⠃⢀⡴⠟⠀⣼⠀⠀⠀⠘⠛⠉⠓⠢⠊⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣙⣿⡳⣶⣶⣤⡤⠤⢴⡶⠖⣻⣟⣯⣾⣿⣡⣴⡏⠀⣠⡼⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⡷⢷⢛⣉⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠞⢋⠟⠀⢠⣶⠀⠀⠀⠀⢀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⣿⡿⢺⠑⣼⣿⣿⣿⠟⣛⡻⠛⢿⣿⣏⠁⠀⢰⡁⠀⠀⢸⡟⠀⠀⠀⠀⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⢾⣶⠶⠤⢿⣅⡊⠆⢸⣿⣿⣿⣚⠁⠀⠀⢸⣿⣿⣧⠀⠀⢻⡀⠀⠀⣤⣤⡄⠀⠀⠈⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠁⠀⠀⠀⣿⣧⢠⡾⠿⡿⠀⠀⠉⠓⣦⣼⡿⠛⠛⠳⢤⠀⠙⣦⣀⠈⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⣸⣶⣶⡦⠋⠉⠀⠀⠒⠒⠤⣀⠀⣸⠟⠋⠀⠀⠀⠀⠀⢧⠀⢈⡟⠑⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠰⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢌⢳⡛⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣾⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣷ ⣿⣿⣿⣇⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣸⣿⣿⣿ ⣿⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿ ⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿ ⣿⣿⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿ ⣿⣿⣿⣧⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿ ⠈⠙⠛⠛⠛⠛⠛⢻⣿⡛⠛⠛⠛⠛⠛⠛⢛⣿⡟⠛⠛⠛⠛⠛⠋⠁ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣄⠀⠀⠀⠀⣠⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠈⡆⠂⠀⠀⠀⠀⠀⠀⠀⠀⢠⠮⠀⠴⠿⠿⠿⠿⠆⠰⠟⠩⠤⠾⣿⣿⣷⣦⣄⡠⢤⡀⠀⠀⠉⠙⠻⣿⣦⠀⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠺⢽⣶⣝⠲⣄⠀⢰⢦⡀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⡙⠺⠀⠹⣆⠀⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣳⣄⢢⣄⢹⠀⠀⢻⡗⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⠀⠀⠀⠀⠐⢄⡀⠀⠀⠀⠀⠀⢀⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠙⢿⣦⡹⡜⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⡑⢦⣀⠀⠀⠀⠉⣳⡶⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠙⠳⣽⣆⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠲⢬⣽⣖⠒⢋⣁⣠⠆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠙⠳⢶⣴⣦⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⣰⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⣿⣯⣻⣄⢈⣿⣷⡀⠀⠀⠀⠀⣀⣀⣀⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠳⣤⡈⠓⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣛⣿⣇⠀⢳⡖⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡠⠖⠁⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⢸⢿⢆⠰⣄⠀⠀⠀⠀⢣⠈⢱⠤⢍⣫⣷⣶⣤⣤⠤⠤⠤⢤⣶⣾⣿⣄⠻⣦⣄⣻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠒⠀⠀⠀⠀⠀⠀⢀⣀⡇⠀⠀⠀⠀⠀⠀⢰⡗⠎⣯⢳⡌⢷⡄⠀⠀⠈⢟⠃⣾⣿⣿⣾⡷⠈⢹⠀⠀⠀⣼⣿⣿⣿⣿⣦⡙⢿⣭⣾⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄ ⠀⠀⠀⠀⠀⠀⠈⠉⢀⡞⢀⣠⡀⠀⠀⠀⣾⣿⣴⣶⣶⣾⣿⡦⣉⠓⢤⣀⠈⢻⡀⠉⠛⠋⠁⢠⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⢸⣶⣽⣴⡿⠀⢀⣀⣠⠤⠶⢒⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣾⠯⢿⡶⣧⠀⣆⠀⠘⢏⠓⠌⠻⠿⠿⠁⠈⠙⢦⠌⠙⠛⠚⠛⠃⠀⠀⡾⢺⡇⠀⠀⡄⠻⣿⣿⣿⡿⣣⡿⣻⣿⠟⠛⠉⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⣸⠁⣿⣧⢹⡄⢆⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠠⣀⣾⠁⠀⢀⡟⢦⣹⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⢀⣴⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⣿⡟⣧⢷⡈⠱⣄⡙⣲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢹⠀⠀⣼⠀⠀⠻⢿⣿⣿⣿⣧⡀⠀⠀⠀⠀⢀⡠⠖⢫⠞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⣿⡇⣿⣿⣿⣦⡀⠙⢮⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⠀⢸⢀⣼⡏⠀⠀⢰⣶⣿⣿⣿⣿⡿⠉⠉⠉⠉⢁⣠⡴⠥⠒⠒⠉⠀⠀⠀⠀⠀ ⣤⣤⣀⣠⣴⣬⣥⣤⡶⠖⠚⣉⡿⣷⣬⣉⣿⣿⣿⣦⣄⡑⡀⠉⠑⢶⣤⣀⡀⠀⣠⡶⠋⠁⠀⢀⣮⣾⣿⠃⠀⠀⠀⠻⠟⠉⣼⣿⣧⣤⠄⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⡿⠛⠁⠀⢀⣤⣶⣾⣿⢿⡿⠿⢿⣿⣿⢀⣹⡿⠗⣦⣾⠇⠈⠙⠻⡅⠀⠀⠀⣒⠿⠋⠙⠻⣆⠀⠀⠀⠀⠀⢠⣿⠿⠿⣷⣯⣗⣦⣄⣀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠄ ⠿⣿⣿⣿⣋⣀⠀⠀⣴⣿⣿⣿⣿⣿⣾⣿⡛⠛⠛⠛⠉⠀⠇⢀⣾⣿⠀⠀⠀⠀⢙⣦⡴⠚⠁⠀⠀⠀⣰⡿⣧⣄⡀⠀⢠⣿⠇⠀⠀⠀⢉⡿⠋⣸⣷⣤⣔⣾⣿⠟⠠⠀⡀⠈⠋ ⠬⠽⢿⣭⡏⠉⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⣠⣶⠟⣿⣯⣄⡛⠛⠉⠉⠁⠀⠀⠀⠀⠀⣴⣟⡿⣿⣿⢿⣿⣿⡿⠶⠴⠴⠶⠟⢁⣼⣿⣿⣿⣿⣿⡋⠀⠀⠀⠈⠀⠂ ⠀⠠⣬⣿⢫⡟⠒⠲⠶⠾⣿⣿⣿⣿⣿⣿⣿⣯⣿⣭⣿⠟⠁⠀⣿⣿⣜⣷⡀⠀⠀⠀⠀⠀⠀⣰⣾⣵⡋⣠⣿⡏⢸⣿⣽⣥⣤⣤⣤⣤⣶⣿⣿⣿⣿⣿⠟⣻⠟⣦⡀⠀⠀⠀⠀ ⡀⠀⠀⢹⣿⣿⡄⠀⠀⠀⠙⢷⣍⠙⠛⠛⠻⢿⣾⣿⣿⣇⠀⠀⢸⣿⠿⣏⣹⣶⡟⠶⣤⡴⠟⠙⡇⠀⣈⠻⣿⡇⣾⣿⡟⠉⢉⣍⣿⣿⣿⣿⣿⣿⣯⣶⠿⡏⠀⠀⠹⠦⡀⠀⠀ ⠈⢢⠠⠚⣿⣿⣿⣆⠀⠀⠀⠀⠈⠛⠶⣤⣤⣼⣿⣿⡿⣿⣄⠀⢰⡟⣆⠙⢿⡟⣀⣀⡀⠉⠓⣄⣧⣰⡏⠙⢻⡀⣿⣿⠀⢀⣾⣿⣿⣿⡿⠿⣿⣿⣯⣠⡾⠁⠀⠀⠆⠀⠈⢦⡀ ⠀⠀⠀⠀⠈⠻⣿⣿⣧⡀⠀⠀⠀⠀⠈⠛⠿⠯⣼⣿⠿⣄⣻⣤⣄⣷⠘⠗⣼⣇⠙⠛⠋⢀⣠⣿⣿⣿⡇⠀⢸⣷⣿⣿⢠⣿⣿⣿⣿⠿⠟⠛⣉⠁⠀⠀⠀⢀⣀⣀⡤⠶⠚⣹⠃ ⠀⠀⠀⠀⠀⠀⠈⠛⢿⣟⣄⠀⠀⠀⠀⠀⠀⢀⣞⣿⣧⣙⡟⢿⣿⠏⠀⠀⢻⡛⣷⢦⣤⡈⠉⠻⣯⠀⠱⣶⣾⣿⣥⣽⣿⣿⠟⠋⠀⣠⠴⠚⠁⢀⣠⠴⠚⠛⣿⠁⠀⠀⣾⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢷⣄⠀⠀⠀⣠⠟⣸⣿⣿⣿⣻⣾⣿⡆⠀⠀⢸⣧⣿⠈⢿⣷⠀⠀⠘⣦⣼⣿⣯⣿⣿⣷⣿⣧⠀⡴⠟⠁⢀⡤⠞⠉⠀⠀⠀⠀⣿⠀⢀⡾⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣦⡼⠃⠀⠻⣿⣿⣿⣿⣿⣿⣿⠀⠀⣸⡍⣿⣧⠀⠃⠀⠀⠀⡇⠘⣿⣿⣿⣿⢿⣵⣟⣡⡤⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⣿⣠⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢢⣀⣀⣀⣠⠤⠞⠉⠀⠀⠀⠀⠉⢻⣿⣿⣿⡟⢿⣇⠀⣿⣿⣜⣿⣷⡀⠀⠀⠀⡇⠀⠸⣿⣿⣧⣾⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⢀⣹⣿⣯⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠤⠤⣤⠖⠀⠀⠀⠀⠀⠀⢸⣿⢻⣿⡇⢸⣿⣦⣿⣿⣿⣿⣿⣷⡀⠀⠀⡇⠀⢀⣿⣿⣯⡉⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣿⣿⣿⣵⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠀⠀⠀⢀⣿⡇⢸⣿⠃⠀⡿⢹⣽⣿⠻⣿⣿⣿⣿⣄⠀⣧⠀⢈⣿⣿⣿⣷⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣯⡣⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⣿⣿⠀⠀⣇⠀⣿⣿⣧⠈⠻⢿⣿⣿⣦⣿⣷⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢻⣿⣿⣿⣿⣿⣿⣿⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣇⣿⣿⠀⠀⢹⣄⣿⣿⣿⡄⠀⠀⠹⣿⣿⣿⣏⠀⣽⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⡀⠄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢀⣠⢶⣿⣿⢿⣿⡏⠀⠀⢸⣿⠉⠻⣿⠁⠀⠀⣼⣽⣿⠛⢿⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏

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⠀⠀⠀⠀⠀⠀⠀⠀⠠⢤⡤⠄⢀⣀⠄⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠢⣀⡀⠀⢀⣠⡴⠾⠿⠦⡈⢱⠇⣹⠵⡖⠤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠁⠉⠈⠓⢷⡤⢜⢯⣦⣄⠀⠀⠀⠀ ⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢾⣄⡀⠠⣳⠀⠀⠀ ⠀⠀⠘⡭⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠱⣨⠆⢻⡆⠀⠀ ⢸⡉⠁⠀⠀⠀⢂⡠⠪⢸⠀⠀⠀⠀⠤⣀⡀⠀⠀⠀⠰⡀⠙⣄⠈⡇⠀⠀ ⠀⠑⠤⡀⠀⢪⠥⢤⡀⠸⠀⠀⠀⡘⠀⠱⣄⠀⠀⠀⠀⠳⣶⡬⢖⢧⠀⠀ ⠀⠀⢸⢇⠰⠀⢀⣻⣿⡆⠡⡀⠀⡷⣾⣿⡍⠓⣄⡀⠀⠀⠙⢷⡶⣼⡀⠀ ⠀⠀⠀⡇⠳⠂⠈⠣⠝⠁⠀⠈⠂⠽⣟⡻⠇⠀⠰⠀⠉⢩⣿⡿⣷⢰⠇⠀ ⠀⠀⠀⠰⡘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢃⡠⢂⣾⠏⠫⡵⠋⠀⢀ ⠀⠀⠀⠀⠑⠛⠷⡦⣀⡀⠀⠀⠀⠀⢀⣀⣬⣿⢃⡰⠋⡼⠀⠀⠓⠒⠐⠁ ⠀⠀⠀⠀⠀⠀⠀⠈⣾⣿⣿⣯⠭⢋⣵⣿⣿⣷⣿⡤⠺⠋⣠⠀⠀⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⢀⣌⣀⣼⠻⡑⣷⣿⡫⠙⢹⣿⡄⠐⡅⠀⢛⠀⠀⠸⠇⠀ ⠀⠀⠀⠀⢰⠊⠁⢹⠀⢸⣧⠰⠿⠏⠁⢂⣼⠟⠛⠢⠘⢦⣈⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠺⠀⠀⢼⡿⠋⠀⠀⠀⠉⠢⡺⠁⠀⠀⠀⠃⢰⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⣀⢀⡀⢠⣤⠰⣦⣀⠀⠀⠐⠀⠀⠂⠀⠂⣀⡤⠉⡄⠀⣿⡀⠀⠀⠀⠉⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⣉⡩⠽⠷⠿⠓⠚⠋⠉⠉⠉⠉⠉⠉⠉⠉⠙⠓⠓⠻⠿⢦⣿⣧⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢀⣴⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣯⣝⠲⣄⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣮⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣦⣅⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⣤⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣷⣮⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢺⣽⡟⠀⠀⠀⠀⡀⢀⣀⣀⣀⠀⢀⣄⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠈⢿⣿⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⢀⣤⡴⠾⠿⠿⠛⠛⠿⠿⢿⣿⣷⣿⣷⡶⡄⠀⠀⢀⣤⣶⡾⣾⢿⠿⠿⠟⠛⠛⠛⠛⠷⠶⢦⣀⡈⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣷⣖⣈⠁⠀⣀⡤⢶⣒⣒⣒⣶⣶⣶⣶⣌⡳⡄⠶⣶⡾⣿⣏⣥⣷⣾⣶⣒⣒⣒⣒⣲⠶⣤⣀⢀⠀⢠⣹⡞⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣽⡇⠉⠉⠉⠛⠛⠛⡛⠉⣻⣿⣟⣏⣹⡿⠛⠋⣷⠋⠉⠉⢺⡏⠙⠻⢿⣯⣙⣛⠛⠋⠙⠛⠛⠛⠂⠀⠘⠟⡇⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠁⠹⡀⠀⠀⠀⠀⠀⠉⠉⠉⠋⠉⠉⠁⠀⡀⣴⠃⠀⠀⠀⠈⠳⣄⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⢨⡇⠰⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡏⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠤⣺⠟⠀⣠⣄⣤⣤⡤⢤⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣡⠎⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠙⠀⠀⠀⠒⠒⠒⠒⠒⠒⠴⠾⣧⣤⣾⡟⠾⢿⣿⣿⣿⣷⣤⠿⠓⠒⠒⠒⠛⠓⠒⠒⠚⠋⠁⠀⠀⠀⠀⠀⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⠃⣠⣄⡀⠈⠙⢧⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⠀⢀⣀⣠⣿⡀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⡃⡀⠀⠀⠀⣨⣂⣙⠉⢉⣙⣤⡶⠿⠶⣤⣄⣨⣷⣄⠀⠀⠀⠀⠀⢀⠀⠀⢰⣾⠘⣿⠀⠀⠀⠀⠀⢀⠀⣀⣀ ⣽⢠⣰⠧⣞⣿⣄⣾⣷⠀⠀⠀⠀⠀⠀⠀⢿⣿⠿⠿⠷⠖⠒⠚⠚⠛⠛⠛⠛⠛⠚⠛⠋⠉⠙⠛⠻⢿⡿⠄⠀⠀⢀⣴⡴⠀⢠⣾⠁⢠⡿⠀⠀⠀⠀⠀⣉⠉⠻⢯ ⠦⠤⠤⠶⠶⠦⣿⣸⠋⡄⡀⡀⠈⠴⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢻⡉⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠔⢰⣿⡏⢁⣴⠟⠋⢠⣿⣁⡠⠤⢤⣀⡀⠈⣦⠀⠈ ⠀⠀⠀⠀⠀⠀⢈⣿⣈⣷⢻⢱⡀⣄⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢀⣼⣯⣀⣤⣘⣼⣿⡿⠻⠁⣴⠏⠁⠀⠤⠄⠀⢈⣙⣄⣼⣆⣤ ⠀⠀⠀⠀⢀⣤⣾⣾⣿⣿⢄⠉⢡⢉⣧⣐⢰⣄⠀⣤⠀⠀⠀⠀⠀⠀⠀⢀⡔⠆⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣏⣾⣿⢧⣦⣾⡧⠀⠀⠀⠀⡠⠒⠋⠁⠀⠈⣻⠠ ⣻⣋⣭⢴⣾⣿⣁⠘⠟⣿⡄⠳⣤⣸⣇⡌⠻⣏⠻⣿⡁⢀⣤⣴⣤⣧⣿⣿⣆⣽⣦⣄⣶⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⢸⣷⡔⠒⢲⡏⠀⠀⠀⠀⢸⣿⡏⠀ ⢸⣽⣽⣿⣿⣶⣽⣧⠼⠿⣿⣦⡀⠙⢿⣽⣦⣿⡃⢻⣷⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⢀⣼⣿⣷⣄⡼⠀⠀⠀⠀⠀⠘⠋⢿⣶ ⣿⣿⣫⣽⣿⣿⣿⣿⣛⠀⣿⣿⣷⣄⠀⠈⠙⠿⣿⣿⣿⣿⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠁⠀⠀⠀⢀⣼⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠈⢯ ⡷⢟⣯⣽⣿⣿⣿⣿⣷⢾⡿⠻⢿⣿⣧⣀⠀⠀⠀⠉⠙⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⠿⠿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⢿⣻⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⣴⣸⣿⣶⣿⠽⠛⡿⣿⣄⣀⠁⢸⣿⡟⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡏⢹⣿⣿⢮⡷⠿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣛⣹⣿⣾⣷⣷⣿⣩⣿⣿⣿⣿⠥⢾⣉⢙⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠖⠒⠉⠉⠉⠉⠙⠒⠒⠶⠤⠼⠿⣿⣿⣿⣿⡾⠿⢿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⣻⣿⣏⣿⣿⣿⣿⡿⢿⡛⠁⠈⢹⣦⣄⠙⢷⡌⠻⢿⣦⡀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣨⡟⣹⣿⣿⣿⣿⣿⣷⣼⡷⣤⣄⣺⡿⡟⢿⣿⣿⣤⠀⠈⠻⣦⡀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣾⡋⠈⣿⣿⣿⣿⣏⣉⠭⠭⠽⢿⣿⡷⣸⠈⠈⠋⠀⠀⠀⣿⠻⣶⣄⣀⣤⠜⠓⠢⠤⢤⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⢮⡻⣿⢿⣿⣿⣛⣛⣓⣛⣿⣿⣿⣿⣴⣯⡀⠀⠀⣈⣿⣿⣟⣛⣃⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠘⢿⣀⡞⣻⣿⣿⣿⠿⢉⣴⣿⣦⣙⡇⠈⠿⠿⣷⣿⣍⡻⣝⣧⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠷⢤⡬⡿⢾⢩⡭⠿⢿⡶⡿⣿⡿⠿⠿⠿⠿⠾⠷⢶⣿⣿⢿⣿⣿⣿⡿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⡼⠟⠋⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⢠⡶⣶⡀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠘⠷⠟⣁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⣠⣾⣿⡁⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣦⡀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠇⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⡁⠈⠳⣄⠀⠀⠈⠻⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠈⠳⣦⡀⠀⠈⠻⣿⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠈⠻⣦⡀⠀⢸⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠈⠻⣆⣼⣿⣿ ⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣠⣿⣿⣿⣿ ⣿⣿⣷⣄⣀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠈⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠚⠛⠛⠓⠀⠋⠁⠒⠿⠿⣶⣦⣀⢤⡀⠀⠈⠙⠿⣦⡀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣿⡗⢤⡟⢦⡈⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⡀⢣⠀⢻⡇⠀⠀⠀⠀⠀⠐⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⣄⡀⠀⠀⠀⢄⣀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⠙⢷⣜⣏⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀ ⠑⢍⡢⣄⣀⡀⠜⠋⠀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⠉⠻⢦⣀⢀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠉⠁⠀⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢶⣦⣿⡍⢹⣷⡀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠁⠀⡀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠳⢄⡑⠦⣀⠀⠀⠀⠀⠀⠀⠀⢀⣹⢿⡀⠳⡒⠊⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠀⠀⢀⠇⠀⠀⠀⠀⢀⣜⣷⣌⢦⡀⠀⠀⢣⡌⣡⣼⣿⣟⠶⡖⠀⠀⣾⣿⣿⣎⠻⣶⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠒⠒⡞⢀⡀⠀⠀⢠⣾⣠⣬⣼⣦⣙⠦⣀⠀⢳⠉⠻⠿⠃⢰⠃⠀⠀⢿⣿⣿⣿⣷⢹⣝⣧⣷⠀⠀⢀⣀⠤⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠀⠼⠟⣿⢷⠀⡀⠈⢯⠃⠙⠿⠟⠈⠑⠢⠁⠊⠉⠒⠀⠀⠟⡷⠀⢀⡘⣿⣿⣿⣿⣿⣿⠟⠛⠀⠉⠀⠀⢀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠃⢸⣷⣷⠰⣄⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡴⡇⠀⢸⠑⢾⣿⣿⣿⡟⠁⠀⠀⠀⠀⢀⡴⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⠔⠃⠀⢸⣏⣿⣷⣌⠓⢾⣷⡀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⡇⣠⡇⠀⠀⣽⣿⣿⣿⡆⠀⠀⠀⢂⣡⡬⠤⠀⠀⠀⠀⠀ ⣤⣤⣤⣤⣬⣥⠤⠒⢒⣻⣧⣭⣿⣿⣷⣤⣑⡈⠑⢲⣤⣀⣀⣠⠞⠁⠀⣰⣵⣿⠁⠀⠀⠻⠛⢹⣿⣧⡀⠀⠘⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠋⠁⢀⣴⣾⣿⣿⣿⣿⣿⣿⡧⠼⡟⢳⣾⠁⠈⠙⢧⠀⣀⡼⠋⠉⠙⣦⡀⠀⠀⢀⣿⠛⠛⠿⣿⡶⢤⠀⢀⣀⣤⠀⠀⠀⠀ ⢙⣿⣟⡖⠒⠐⠻⣿⣿⣿⣿⣿⣷⣄⠀⠀⢀⣤⢾⣟⡠⠤⠴⠚⠋⠁⠀⠀⢀⣼⣿⣿⣶⣤⣿⣏⣀⣀⣴⠋⣰⣿⣿⣿⣿⠋⠀⠀⠀⠀ ⠀⠠⣿⣳⡖⠒⠤⢿⣿⣿⣿⣿⣿⣿⣷⣶⡟⠁⢸⣿⣽⣆⠀⠀⠀⠀⢀⣴⠿⢏⣰⣿⢰⣿⣿⣤⣤⣤⣤⣾⣿⣿⣿⣿⡿⢶⣄⠀⠀⠀ ⠄⠀⢸⣿⣷⡀⠀⠀⠙⠧⣍⡉⠙⢻⣿⣿⣧⠀⠈⣿⠻⣯⣿⠏⠒⠶⣋⢹⠀⡤⣽⡏⣸⣿⠋⢀⣶⣿⣿⣿⣿⣿⠾⢻⠇⠀⠘⠳⣄⠀ ⠀⠀⠀⠙⢿⣿⣄⠀⠀⠀⠈⠹⢿⣿⣿⣿⡛⣧⡀⣯⢳⣌⡏⠰⠶⠀⢈⣿⣿⡇⠀⣷⣿⡟⢠⣿⣿⣿⣿⠿⠟⠛⠓⠃⠀⠀⣁⡠⢼⡇ ⠀⠀⠀⠀⠀⠙⢿⣧⡀⠀⠀⠀⠀⢀⣿⣧⣙⡿⣿⡏⠀⠘⡿⣶⢤⡄⠉⠻⡁⠱⣶⣿⣯⣻⣿⠿⠋⢁⡠⠖⠁⣀⠤⠒⢻⡋⠁⢀⡞⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⣀⠀⡠⠋⣿⣿⣿⣿⣿⣇⠀⠀⡿⣯⠘⢿⠆⠀⢳⢾⣿⣿⣿⣿⣿⡄⠐⠋⣀⠔⠋⠀⠀⠀⢸⡇⣠⠏⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⠀⠀⣀⡨⠋⠁⠀⠙⢿⣿⣿⣿⣿⡄⢠⣷⣻⣷⡀⠀⠀⢸⠀⢻⣿⡟⣹⣿⣷⡿⠚⠁⠀⠀⠀⠀⠀⣸⣷⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠯⠭⣡⠄⠀⠀⠀⠀⢠⣿⣿⣿⢸⣷⣸⣿⣿⣿⣷⡀⠀⢸⠀⢸⣿⣿⣻⣿⡿⠁⠀⠀⠀⠀⠀⠀⣸⣿⣿⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⣼⡇⣿⡇⠀⡏⢻⣿⡻⢿⣿⣿⣄⢸⣄⣸⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⡂⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢀⣿⣇⣿⡇⠀⣧⢸⣿⣧⠀⠙⢿⣿⣾⡿⠛⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⠁⠀⢸⡟⠻⡿⠀⠀⣸⣿⡟⢿⣾⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⡿