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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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