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