Sextoy Emojis & Text

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⢹⠄⡀⢀⠀⠀⡿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⢀⠰⢉⡧⣿⢺⢌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⡑⢂⡱⡜⢿⡀⠀⠀⠀⠐⠀ ⣿⠘⠤⣲⣰⣇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠠⡘⠆⠃⣇⣿⢺⢌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡑⡌⠡⡼⣏⠸⣠⣄⢈⠀⠀ ⣿⢿⠀⢀⠁⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠄⠃⢀⢩⡧⣿⢻⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⡈⢱⡖⡍⢻⢀⠀⠀⠀⠀ ⣽⣿⠸⠐⡏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠁⠤⢋⡧⣿⢹⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠤⡃⠤⢚⣯⠘⠀⠀⠀⠀ ⣾⣟⢻⠁⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⡰⠜⡯⣟⣼⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡄⠘⣩⠖⣍⢻⠀⠀⠀⠀ ⣽⢾⣿⡏⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠄⡨⠖⣏⡃⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠔⡃⠤⢚⣯⠈⠀⠀⠀ ⣻⣽⣿⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠄⡒⢎⣏⡇⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡄⠒⣎⠇⣎⢹⠀⠀⠀ ⢾⣳⣿⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡁⠴⢛⣯⡁⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡁⠰⢍⢢⡜⣿⠀⠀⠀ ⣟⣯⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠠⡱⢎⣿⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡨⠕⣊⠭⣗⠸⠀⠀ ⢻⣷⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⣁⡓⢧⢸⠔⣷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠣⢆⡙⡧⢸⠀⠀ ⡽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠈⠥⡂⡱⣾⠀⠀⡦⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠑⢢⡜⡎⢽⠀⠀ ⡽⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠜⠃⣡⡿⢻⠟⠹⠋⡟⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡉⠦⢃⢰⣾⠀⠀ ⡷⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢂⡁⠆⠡⣿⣤⣀⣀⣯⣹⣄⣷⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⡱⢆⡡⢽⠀⠀ ⣷⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢡⠠⡘⠣⣾⢀⠀⠀⠀⠀⢀⠀⠀⡀⢷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢁⡰⢓⢡⡷⠀⠀ ⣿⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠂⡁⠟⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠡⡱⠢⣑⡷⠈⠀ ⡿⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠏⡴⢆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠘⡡⠒⣡⡜⡯⠀⠀ ⡷⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⢀⡾⣀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠉⣦⠙⠀⠀⠀⠀⠀⠀⠀⠈⠂⡀⠒⠌⣃⠠⢳⡌⣟⠀⠀ ⣻⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⢈⢠⠐⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠂⣄⠹⠀⠀⠀⠀⠀⡘⠁⠄⡃⠄⡑⠢⣌⠚⢡⣾⠀⠀ ⡵⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢀⠀⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢹⠂⡀⢶⠈⠀⠀⠠⠄⠂⡐⠎⡁⠰⢎⡃⡔⢏⢸⠀⠀ ⣳⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⢂⠁⣆⠑⠀⡐⠎⢁⡰⠎⢃⡄⠘⢱⡬⡟⢀⠀⠀ ⡾⣟⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠌⠂⠁⠠⡐⡌⠆⡈⠱⢌⠡⠴⡈⠴⡓⣸⠀⠀⠀ ⣟⢧⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠆⠀⡐⠂⢁⢢⡐⠱⡌⠆⡈⠖⣈⡿⢀⠀⠀⠀ ⡼⢿⣯⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⢀⡐⠌⠁⠤⡈⠢⡐⢌⡑⠦⢏⣰⠀⠀⠀⠀ ⣽⡞⣿⡀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠠⠌⠂⠄⠈⢂⠔⢂⡡⠟⣼⠀⠀⠀⠀⠀ ⡳⣽⣸⠀⡀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠁⢂⠄⢈⡐⢋⡷⣼⠀⠀⠀⠀⠀⠀ ⣼⡟⢰⠀⠀⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠂⢡⡀⠞⣫⣼⠀⠀⠀⠀⠀⠀⠀ ⣜⡿⢀⠀⠀⠀⣄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⠐⠁⡼⢏⣰⠀⠀⠀⠀⠀⠀⠀⠀ ⣞⢰⠀⠀⠀⠀⠀⡄⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡌⠃⢥⡞⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⢠⠀⠀⠀⠀⠀⠀⡀⠱⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣃⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡱⡿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠁⢻⠈⠀⠀⠀⠀⠀⠋⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⢱⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠀⠀⠀⠀⠀⠀⠋⡷⣎⡞⢿⠈⠀⠀⠀⠞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣾⢑⡦⡟⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠟⣾⣡⣸⢍⠂⣄⢻⠀⠁⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢨⠱⢂⣧⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠀⠀⠀⡇⣩⠴⢋⠤⠒⣈⠑⣇⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⣿⠆⡉⠤⡘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡿⢃⢆⠡⢶⠻⢉⠠⡐⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠆⠉⢢⡜⣟⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⢈⡱⢂⠤⡘⣆⢿⡟⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠴⢋⢠⢽⡎⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠈⡰⠁⢂⠄⠩⣄⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣹⠇⣡⠖⢩⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⢸⠌⡀⠀⠀⠀⠐⠠⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⢾⡉⡰⢜⡻⣇⠸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡃⢸⠀⠀⠀⠀⠀⡁⠀⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⢿⠠⡱⢆⠳⣇⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⢸⠀⠀⠀⠀⠀⠂⠀⣿⠀⠀⠀⠒⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠈⢊⠀⣿⣉⠤⣣⡕⡪⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢰⠀⠀⠀⠀⠀⠀⠁⣼⠁⠉⠛⠛⠛⠿⠿⠛⠛⠉⠈⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠁⠋⠟⡿⣾⣛⣳⠾⣟⢛⢩⣿⠒⣈⡔⢻⢰⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢀⠀⠀⠀⠀⠀⠁⡿⣴⣠⣀⠀⢀⠀⢀⡀⣀⣄⢦⣷⢽⠻⠙⠈⠀⢸⠀⠀⠁⠛⡿⣶⣤⣀⢀⠀⠀⠀⠀⠀⠀⣀⣦⠻⢌⡑⡎⡼⡗⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠏⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣆⡶⣟⢯⠙⠋⡿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠻⠄⣯⡇⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠇⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡔⢿⣋⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢸⡆⡍⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⢦⠰⣿⠛⠀⠀⠀⠀⠀ ⠞⡿⢤⡷⠀⠀⠀⠀⣿⠀⠀⠀⠁⠛⠿⠦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠽⠽⠬⠙⠀⠀⠀⠀⣿⠡⣌⡷⣟⢹⠦⠷⠹⠀ ⡟⢠⠁⡿⠀⠀⠀⠀⣧⠀⠀⠀⡷⡇⣾⣿⡌⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⣿⢿⠙⠈⠀⠀⠀⠀⠀⠀⠀⠄⢠⡗⣿⣿⡼⠀⠀⠀⠃⢼⠡⡌⡗⣹⣼⠀⡃⣿⠀ ⣧⠈⡇⣿⠀⠀⠀⠀⡀⢹⠀⠀⡀⣦⣖⣠⣀⢀⠀⠀⠀⠀⠀⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣠⠀⠀⠀⠀⡟⣠⠐⡌⠓⣯⢩⠟⣿⢰⠀ ⠁⢄⠟⣹⠀⠀⠀⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢲⢁⡡⠄⠣⣕⢻⡴⢠⠀⠀ ⠀⠢⡀⢸⠀⠀⠀⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⣿⣿⣸⣀⣀⣀⣇⣿⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣠⠌⠂⡀⠐⢊⡱⣷⠀⠀⠀⠀ ⠀⠀⣇⢸⠀⠀⠀⠀⠀⠀⠀⣅⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⣿⡾⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢠⠐⢀⠀⠀⠀⠐⣈⡷⠘⠀⠀⠀ ⠀⠀⡇⢨⠀⠀⠀⠀⠀⠀⠀⠀⣾⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⣿⣯⣭⣯⣿⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⢸⡀⠀⠀⠀⠀⠀⠀⡐⡇⢸⠀⠀⠀ ⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⢻⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⣼⣤⣦⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠸⠀⠀⠀⠀⠀⠀⠀⡐⢂⢿⠙⠀⠀ ⠀⠀⡆⢸⠀⠀⠀⠀⠀⠀⠀⠁⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣼⠀⠀⠀⣦⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠈⠀⠀⠀⠀⠀⠀⠀⢁⢸⣀⢳⠀ ⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⢀⠀⠀⠀⠀⣷⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢸⠀⠀⢧ ⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢠⠀⠀⠀⠀⠀⡆⣷⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡾⠀⠀⠀⡀ ⠀⠀⠀⠀⣟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣸⠀⠀⠀⠀⠀⠀⠀⡄⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⢙⠀⠀⠀⠀ ⠀⠈⠀⠇⣱⢾⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣾⠀⠀⠁⠋⠘⠀⠑⠉⠉⡏⢻⠉⠉⠀⠀⠀⠀⠀⠀⢆⠘⠀⠀⠀⠀⠀⠉⠟⣾⣻⣧⠹⠀⠀⠀ ⡰⠀⠀⡇⡀⢸⡇⢌⠻⠛⠉⠉⠁⠄⠈⠀⠀⠀⠃⠒⠒⠞⠤⡿⣠⣀⣀⢁⠋⢠⠀⠀⣃⢀⠀⣇⣸⣄⣦⣒⣝⢬⠶⠒⠀⠀⠉⠉⠋⠟⡿⣇⣽⣿⣷⢲⣿⠘⠀⠀ ⠀⠀⠀⡇⠘⢹⡏⠰⣇⢾⢹⡀⣆⣿⣿⣇⣿⢿⠻⠙⠈⠀⠃⣼⠀⠀⠀⡏⣰⠀⠀⠀⡄⠸⠂⡀⢿⠘⠂⠍⠒⠤⣠⣀⣄⠘⢀⠀⣿⣿⣿⠀⡡⣿⡇⣼⡿⣿⠀⡏ ⠀⠀⠀⠀⢳⣇⣿⠰⡇⢸⣻⠀⠀⣇⣿⠈⣿⣷⣿⣿⣾⢧⡿⢘⠀⠀⠀⣰⠀⠀⠀⠀⠀⢧⠁⠄⣿⢴⣠⢀⠀⠀⠀⠀⡇⢿⠀⡇⢽⣰⣿⠀⠀⣿⡇⣼⡟⣿⠿⣸ ⠀⠀⠀⠃⡷⠘⣷⢹⡀⢠⣿⠀⠀⡀⣾⣧⣇⡀⣿⣿⢿⣏⢠⣇⠀⠀⠀⠀⠀⠁⠜⠀⠁⡏⠰⡯⢀⠀⠀⠀⠀⠀⠀⠃⣾⣀⠁⣼⠀⠇⣸⠀⠀⣿⡇⣸⣿⣯⣼⠀ ⢳⠈⠀⣸⡇⢿⡌⣧⠘⠀⣆⡌⠘⠀⢸⡇⡼⠀⣿⣿⣿⣸⠀⡇⠀⠀⠀⠀⠏⣾⣫⠷⠹⣈⠐⣿⠀⠀⠀⠀⠀⠀⠋⣿⢀⠃⣾⠄⠁⡞⠀⠀⡇⣸⣄⡏⣼⣿⠙⠀ ⠂⢟⠟⢿⡆⡽⢻⡄⣷⠸⠀⢀⢸⠀⢸⡇⣸⠁⣿⢳⣾⠀⠀⡇⠘⠈⠋⡿⣼⣞⢯⣳⣽⢿⣋⣿⠀⠀⠀⠀⠀⠏⣯⢠⠃⡼⢨⠁⡿⢠⠀⠀⡿⢀⠃⣾⠏⣰⣿⠸ ⠀⡎⣻⣬⠳⣌⣳⢿⡈⢳⠘⠀⢿⠀⢠⡿⠡⡟⣣⣿⢠⠀⠀⡇⠿⣿⣿⣿⣶⣴⣤⣷⡿⣿⣿⣿⠀⠤⠀⠈⠇⣸⣸⠁⣼⣇⠀⡟⣰⠀⠀⠏⣰⠁⡾⢥⡼⠁⢹⢸ ⠏⣭⢞⣭⠶⣟⠻⣍⢶⠙⡀⢤⡉⢨⠇⣻⡟⢿⣯⣼⠀⠁⠋⡶⣤⣠⢀⠀⠀⠀⠀⠀⡀⣦⣷⣿⠀⠀⠀⠀⡧⣀⢹⡏⣂⡙⠀⣼⠀⠀⠏⣰⠃⡵⠟⣾⢀⡞⡟⢀ ⢾⣍⠽⣣⣜⠳⣌⣇⣤⡿⢿⡿⣿⣿⣿⣿⣿⣿⣿⠟⡴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢳⠈⠀⠀⡀⢹⡆⢹⠀⠄⠂⢁⠠⠟⣰⠀⢋⡿⣴⠋⡵⡞⢀⢸ ⢞⢣⡹⢧⡌⠳⣀⠰⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣽⠛⠀⠀⠀⠀⠀⠀⠛⠞⠤⠠⠒⠑⠈⠀⠀⠀⠀⣤⠛⠉⠀⡀⢻⣿⠙⠀⠀⠻⡷⣠⠋⡽⣾⣩⠿⢞⣠⠁⡟⢠ ⡜⢮⡙⢢⡜⠣⣀⠀⠋⡿⣿⣿⣷⣿⣿⣿⣿⣿⣻⢞⠤⠀⠀⠀⠀⠀⠀⣀⣀⠄⠤⠤⣤⠠⠀⠀⠀⠀⡀⣷⢿⠿⣿⣿⣿⣿⢿⠻⠿⣿⣿⣿⣾⣴⣠⠉⠟⣴⢀⠀ ⡖⢌⡱⢎⡌⠀⠃⡿⣿⣿⣿⢧⡟⣿⣵⣟⢿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢶⠶⡴⣤⣀⠀⠀⠀⠀ ⢣⣌⡓⠌⢀⠀⣿⣧⣾⢠⣾⡟⣿⣰⡰⡟⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠃⡠⢀⢧⠀⠀⠀⠀⠀⠀⡀⣄⠳⣿⣿⣿⣿⣼⣿⣿⣿⣿⣿⢨⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠱⡌⠒⢀⠀⡇⣼⡟⢠⡁⢿⣽⣾⡀⠇⣿⢁⠈⠀⣋⣛⣛⠤⠀⠀⠀⠀⢤⠒⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣻⢿⣿⣿⣿⣿⡿⣿⣿⠘⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡜⠀⠀⠀⡇⢸⣟⠀⣿⣾⣇⢨⠀⣧⣿⣿⠸⡍⣯⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠏⠭⠤⠑⠀⠀⣷⡸⣖⣿⣿⣿⢧⣿⣿⣿⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⢦⡜⠈⠑⠢⡇⣽⣿⠀⣿⢠⡄⠀⠠⡿⣿⣤⣿⣿⣿⣿⡿⣾⣷⠻⠙⠙⠀⠀⠀⠀⠁⠋⡶⣾⣿⢿⠈⢧⠈⡇⣿⠄⣇⣿⣿⡔⣿⣿⡧⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠆⡀⡄⠀⢠⡄⣿⣷⠀⣽⠀⡀⠀⠃⣿⢠⠀⣿⣀⣄⣿⣿⠈⡇⣄⣷⣿⢽⠢⠎⠈⡄⣿⣿⣿⣿⣿⢿⡿⣿⣿⣿⢘⡡⣿⣿⡚⣷⢸⡿⢸⠈⠠⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣇⡟⠈⢹⠀⠀⠀⡇⣼⠀⠀⡇⢸⠀⢹⡄⣷⡟⢻⠉⣧⣿⢻⣯⣿⠈⡀⣿⣬⣾⣷⣹⣇⣹⡆⣿⢾⠈⣿⣿⡐⣾⠇⣿⢀⠀⠁⠂⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⢸⣷⠀⠀⠰⡇⢺⠙⠈⣤⣻⣈⣾⣶⣽⣦⣿⣦⡻⣤⣿⣿⡆⢹⠀⣇⢿⢸⡀⣯⣿⢢⠀⣷⢿⠀⣏⣼⡏⢣⣿⢠⠄⠀⠈⠀⠐⠀⠀⠈⠐⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⣿⡇⠸⠀⠀⡇⢈⠀⣀⠦⣷⢿⢸⠀⡀⢷⡈⢤⣇⠸⣷⣿⠀⣯⠀⡿⣿⠀⠀⣟⣿⠀⢁⡤⣹⢀⡿⢃⣿⣾⢨⡀⠁⠀⠀⠐⠀⠂⠄⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣷⣳⣿⠀⠀⡆⠘⠀⠀⠀⡆⣿⣟⠸⠀⡇⢦⠘⠀⣷⠃⣸⠀⣟⠋⣿⢻⠛⠓⣿⢾⡤⠀⠇⢸⠏⣱⣿⣾⢁⠀⠂⠀⠀⠠⠀⠈⢀⠁⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⣀⢱⠀⠀⢸⠀⠀⠀⡇⣷⢸⣇⠈⡃⠀⢧⠀⣇⠃⢰⣀⣿⣿⣾⠀⠀⡞⣏⢀⠃⢀⡞⠃⣻⡿⣴⠀⠀⠂⠀⠀⢀⠀⠠⠀⠂⠀⠀⠐⠄ ⠀⠀⠀⠀⠀⠀⠉⠛⡴⣀⢳⡀⠱⠀⡇⠀⠀⠀⡄⡼⢸⠀⢳⠀⠀⡇⢸⡇⡄⠀⠇⣿⣾⢀⠀⡞⣏⣸⠃⢰⠖⢫⣽⡿⢠⠀⠠⢀⠀⠂⠄⡀⠀⠈⢀⠂⠀⡀⠀⠄ ⠒⠒⠄⠤⣤⣠⣀⠁⠀⠀⡀⠳⡈⢤⠑⢠⠃⠀⠀⢣⢸⠀⡇⠈⠀⡼⠀⣼⠀⡅⡾⣿⠀⠀⡀⠟⣼⠃⣠⡁⠏⣿⡼⢀⡀⠀⠈⠠⢀⠀⠂⠄⠀⠀⠄⠀⠈⢀⠂⡀ ⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⢆⠑⡀⠠⠈⢣⠀⡄⢸⠀⠀⢸⠃⢠⡇⢀⠁⡴⢁⠠⠀⠃⡿⣰⠀⠀⠟⡿⣾⣠⠁⡀⠀⠐⠀⠁⠄⡀⠀⠁⠄⡀⠀⠐⠀⠄⠀⡁ ⠀⠀⠀⠀⠀⠀⢀⠀⠀⠄⠀⠀⠀⡀⢤⠓⠈⠀⢄⠑⡄⠑⠀⢠⠀⠃⢡⠞⣠⠜⢀⠁⠞⣴⢀⠀⠋⡿⣴⣠⠄⡀⠀⠀⠠⠀⠀⠠⠀⠂⡀⠀⠀⠐⠠⠀⠠⡀⠀⠐ ⠀⠀⠄⠀⠀⠂⠀⠀⠂⠀⠀⠂⠀⠀⠂⠀⣀⢤⠒⠙⢈⡀⠠⠐⠁⢋⣤⠀⡠⠀⠀⣠⠁⠉⠛⠶⣤⢀⠈⢀⠀⠐⡀⠀⠀⠠⢀⠁⠄⠀⠈⢀⠁⠂⠀⠠⠀⢀⠈⠄ ⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣀⣀⢤⠿⠬⠶⡶⢶⠶⠴⣤⣤⣠⣄⠀⠀⠂⠀⠀⠀⠠⠀⠈⢀⠀⠄⠀⠈⠁⠀⠈⠁⠀⠈⠄⠀⢀⠈⠁⠀ ⠀⠀⡀⠀⠀⢀⠀⡀⠀⠀⢀⠀⡀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⡿⢸⠀⠀⠄⠀⠀⠄⠀⠀⠠⠀⠄⠀⠀⠐⠠⠀⠐⠀⠂⡀⠀⠐⠀⠐⠀⠈⠐⠀⠈⠐⡀⠁⠀⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠂⠀⠁

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Seek Jesus Christ as your Lord and Saviour, stop looking at porn. It objectifies women and children, it taints your soul and pulls you further away from you God. Satan is corrupting your souls with this foul, vile content. You feel shame and guilt because you know it is wrong, porn is never healthy. If you are offended by this message, ask yourself. Why? Why does the mention of Jesus Christ evoke such negative thoughts? Truly ask yourself that.

⣀⣣⢟⡿⣿⣿⣿⣿⣿⠸⠄⠄⠄⠄⠄⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸ ⠄⠁⣿⣿⣿⣿⣿⣿⣿⣿⢹⠄⠄⠄⠄⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⠄⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠄⠄⠄⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠ ⠄⣿⣿⣿⣿⠿⠿⣛⣝⣮⣿⠑⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄ ⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⠣⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠄ ⠄⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠄ ⠄⣿⣿⣿⣿⣿⣿⣾⣱⠄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠄⠄ ⠄⡆⣿⣿⣿⣴⣡⠚⣿⡅⠙⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠄⠄⠄ ⠄⠄⣀⣛⠏⡻⣿⣷⣿⢘⣽⢿⡛⣌⣶⣿⣿⣿⣿⣿⣿⣿⣿⣼⠄⠄⠄⠄ ⠄⠄⠄⡄⡧⣽⣿⣿⣿⢻⣿⣿⣿⣿⢽⠻⡛⣁⣭⣭⣭⣣⣛⠣⢹⠄⠄⠄ ⠄⠄⠄⠄⠄⡉⣭⣤⣶⣖⣻⣿⣽⡿⣮⣻⣷⣿⣖⣿⣟⢶⢣⣿⣿⠸⠄⠄

⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠛⠟⠿⠻⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠿⠿⠻⠚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⣸⠀⠀⠀ ⠉⠉⠉⠿⠿⠿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⠀⠀⠀⠀ ⣤⣦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⣾⠀⠀⠀⠀ ⠀⠀⠀⡀⣦⣿⣶⣿⣾⣠⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢿⠸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠻⠛⠙⠉⠀⠀⠀⠀⠀⠉⠈⠀⢿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⣄⣤⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⣿⣿⣿⣿⣿⣿⣿⣿⣼⢀⠀⠀⠀⠀⠀⠀⠀⣄⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣤⣤⣤⣷⣿⣿⣿⣿⣿⣿⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⣿⣿⣿⣿⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣦⣶⣴⣠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣷⣿⣿⣿⣿⢿⠛⠛⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⣿⣿⣿⣿⣿⣿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣶⣷⣾⣶⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⣠⣀⠁⠈⣀⣄⣷⣿⣿⣿⣴⣤⣤⣦⣿⣿⣿⣿⣿⡟⢻ ⣿⣿⣿⢰⠁⡿⣿⣿⢿⠙⡀⣤⣤⣀⠀⠶⠿⠘⡀⣷⣿⣿⣿⣿⣿ ⣿⣿⣿⠀⡇⣿⣿⣿⣼⢀⠁⠛⠿⠿⠛⠙⠀⣄⠀⡇⣿⣿⣿⣿⣿ ⣿⣿⣼⠀⡏⣿⣿⣿⠙⠟⣿⣿⣿⣿⣿⣿⢿⠙⠀⠀⣈⣀⣤⣷⣿ ⣿⣿⢸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⣿⢿⠻⠀⣧ ⣿⣿⢸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⣿⣿⣾⠸⠀ ⣿⣿⢻⠀⣿⣿⣿⣿⣿⣿⣶⣷⣿⣿⣿⣿⣿⣼⠀⠇⣿⣿⣿⢰⠀ ⣿⣿⣿⠀⡇⣿⣿⣿⣠⣄⡄⢦⡳⣔⣿⣾⣴⠀⠆⣷⣷⣽⣴⠀⡟ ⣿⣿⣿⠀⡇⣿⣿⣿⢿⠻⠉⠈⠀⠀⢀⠉⠀⠀⣤⢤⢠⣀⠁⡿⣿ ⣿⣿⣴⠀⠀⠉⡈⣀⣦⣷⣿⣿⣿⣿⣿⣿⣿⠿⠛⠀⠇⡿⣿⣿⣿ ⣼⠀⠟⡿⣿⣿⣿⢿⠹⠀⣧⣿⣿⣿⣿⣿⣿⣿⣼⠀⡏⣿⣿⣿⣿ ⠈⡇⣿⣿⣿⣿⣿⣿⣿⠸⠀⣿⣿⣿⣿⣿⣿⣿⢸⠁⣿⣿⣿⣿⣿ ⢻⠀⣧⣻⣯⣿⣿⣿⣴⠀⠏⣿⣿⣿⣿⣿⣿⣾⠀⡏⣿⣿⣿⣿⣿ ⣿⢿⠉⣄⣤⣤⣀⢀⠃⡟⣿⣿⣿⣿⣿⣾⣴⢀⠏⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢿⠿⡿⢿⠛⠉⡈⣀⣀⣀⢁⠉⠋⠟⡿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⡀⢦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⢸⠀⠀⠀⠏⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⡼⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠸⠀⠀⠃⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⠀⠁⣻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⢰⠀⠀⡇⠐⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⡆⣿⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡇⢠⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⢸⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡗⠀⠀⠀⡜⢀⠀⠁⠈⠀⠀⠀⠀⠀⠀⢸⠀⠀⣇⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠀⠀⠁⢰⠀⠀⠀⣄⠙⠀⠀⠀⠀⡀⢠⠀⠀⡄⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠇⢠⠀⠀⡇⠀⠀⠀⠀⠀⡀⢤⠑⠀⠀⠀⠀⠀⠐⠀⣾⠸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠀⠀⠀⡽⠉⠒⠒⠒⠉⠈⠀⠀⠀⠀⠀⠀⠀⠁⠉⢻⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠃⢠⠀⠁⡴⣀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⠋⠴⣠⢀⠀⠀⣀⢤⠑⠀⠀ ⠀⠀⠀⠀⣾⠀⠁⣰⠀⠀⠀⠂⠀⠀⠀⠀⠀⡀⠸⠀⠀⠀⠀⠀⠀⠀⠁⠀⡀⢷⠀ ⠀⠀⠀⠇⢀⠀⡇⠀⠀⠵⢀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⢀⠄⠛⡀⢸ ⠀⠀⠀⡸⠀⠀⡄⠘⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡂⣠⠇⢠ ⠀⠀⡎⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⣠⠀ ⠀⠇⢠⠀⠀⠀⠀⡀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡤⠘⠀⠀ ⠃⡼⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⢸⠀⠀ ⡆⢹⠀⠀⠀⠀⠀⠀⠀⠧⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢻⠀⠀ ⠀⡄⠑⠀⠀⠀⠀⠀⠀⡀⣧⠉⠉⠉⠉⠉⠐⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠋⢠⠀⠀ ⠀⠀⠀⣀⠯⠿⠛⡈⣀⣀⣀⢻⠀⠀⠀⠀⠀⠀⠀⣀⣀⣁⢞⠓⠔⠾⡠⢀⠀⠀⠀ ⠀⠀⠀⡞⢏⣎⣇⣀⢯⠑⠀⣿⠀⠀⠀⠀⠀⠟⠊⠟⡼⢀⠋⣠⠎⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣼⢰⡇⠀⢸⡞⢣⣼⠀⠀⠀⠀⡇⣹⠈⠷⢀⠟⢳⠏⢠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢇⣿⠀⡀⠸⢻⢸⡇⢀⠀⠁⠖⡠⢀⠀⡀⢄⡶⣟⡀⡼⠳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣷⠸⠀⢇⡆⢘⡇⠀⡤⢀⠀⠀⠂⠒⠶⠰⠈⡀⢦⢻⠀⢦⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣧⠈⡀⢹⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⡁⢸⠀⠀⡄⠘⠀⢇⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⢸⠀⣇⡽⣴⠘⠀⠐⠛⠛⠐⠀⠀⠀⣀⣻⢟⠉⣏⠹⠀⢱⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠛⣹⡇⠀⢣⠋⠸⣷⢼⢱⠛⠀⠀⠀⡦⣶⡛⣾⡇⠸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⣿⠈⣿⠀⡅⣹⣤⢿⣶⣤⢀⠙⠘⠀⠆⠓⡟⣾⣠⢳⡄⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⢸⣄⣧⠈⠀⣆⣸⡿⠢⠶⣤⣠⠀⠀⠋⡳⣰⠀⠀⡎⠇⢾⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢰⠀⠀⡄⣗⠘⠀⠀⠉⠚⡥⢚⣠⠀⠀⠁⢸⡞⢠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣆⠈⠀⠀⠀⠀⠀⡀⢦⠤⣠⢀⠴⣠⠀⠀⠀⠀⡥⡞⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣆⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⣠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠳⠉⠈⠀⠀⠀⠀⠀⠁⠉⠚⠴⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄⠤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠛⠛⠛⠛⠉⠉⠋⠓⠛⠉⠀⠀⠀⠀⠁⠋⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣾⣾⣤⣶⣾⡷⣛⢟⣿⣈⣬⣓⣋⣿⣽⣭⢋⡼⣬⡻⣯⠻⠀⠀⠀⠀⠀⠀⠉⠛⠓⠛⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⣹⢿⠾⠶⠷⠟⠛⡛⣏⣷⠿⣰⠀⠀⠀⠄⡲⣄⣤⢴⣶⣝⣧⢻⠀⠉⠉⠉⡇⢠⠀⡀⢆⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠛⠞⡾⣶⡩⣛⠛⢛⢛⡟⣌⢬⡗⣿⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣧⡏⣡⡿⣠⣠⠀⣸⠈⡁⠀⠅⢹⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⢺⣿⠿⣿⣽⣿⣿⣿⠹⡂⣁⣀⣥⣦⣗⣻⠉⠉⠀⠀⠀⠀⠀⠀⠀⡅⣾⣿⡸⣹⡋⠀⠀⠂⠀⠁⠂⡱⣄⣶⣿⠈ ⠀⠀⠀⠀⠀⠀⠀⠂⢿⣱⣷⢙⡟⣼⣳⠿⡿⢿⠛⠈⠀⣀⠤⠤⣂⣗⣤⢦⠓⠛⠉⠀⠀⡇⢿⠿⣛⡙⣭⠼⢀⠁⠈⠎⢏⠘⢀⠉⡿⠠ ⠀⠀⠀⠀⠀⠀⠀⡏⣰⡌⠀⣄⣦⢃⣿⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠉⠉⣉⠀⠄⣒⣭⠿⡟⣿⣿⣖⣃⣙⡇⣬⠀⢀⣷⣼⣄⡤⣠⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⣸⡎⢀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⢀⠀⠀⠁⡿⣠⣶⣔⣧⠹⠀⠀⡀⣦⣿⣿⡶⠳⣮⡹⢪⡿⡶⡴⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⣿⢠⢠⠀⠀⠀⠀⡄⣿⣿⣭⣿⣿⢠⠀⠄⣴⣤⣤⢷⡞⣴⣍⣿⠀⠀⠀⠀⠀⠀⣀⠢⣄⣶⣟⢷⠙⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠜⣩⣿⠀⠀⠀⠀⠀⠀⠀⡀⣤⣤⣤⢀⡀⠀⠀⠀⠀⠀⠀⣤⣀⣀⣦⠻⠀⠀⠁⠈⠀⠀⠀⡟⢿⣿⣿⣽⢯⠦⠓⠉⠀⠀⠀ ⠀⠀⠋⡷⡟⣿⣾⠿⠿⠿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⣧⣿⢦⠒⡟⣾⣿⣷⣿⣹⢿⠽⡭⣇⠸⠀⠀ ⠀⠞⢿⣿⣷⡿⠛⣿⢯⣿⢻⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⠛⡉⣦⣷⢹⣅⣿⣿⣃⣻⣾⢀⠀⠀ ⡞⡟⣿⣡⡿⣻⣯⢿⣿⡿⣿⢩⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⢀⡔⣿⣟⣰⠀⠀⠀⠀ ⣟⣟⣯⣿⣿⣝⣿⣿⢓⢿⣿⣿⣿⠾⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⢛⣰⠀⠀⠀⠀⠀ ⣽⣿⢿⣧⣿⣥⣿⣾⣿⣿⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⢟⣫⣴⠀⠀⠀⠀⠀⠀ ⡆⢿⣟⣮⡗⣿⣿⢿⣏⣻⣟⡛⣿⣽⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⢧⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣤⣶⠶⣷⣿⣻⣽⣧⡏⣴⣬⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⡿⣿⡯⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⢿⣟⣷⡹⠪⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣿⣿⣿⣻⡿⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣶⣻⣝⢷⠛⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠋⠟⣯⣿⣾⡷⣿⣇⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣶⢿⣛⣽⢮⠞⠛⠓⠿⠙⠋⠙⠛⠚⠓⠿⡶⣽⣷⣿⣧⡯⢣⣸⣽⡟⣰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣤⣤⢤⡤⢦⠶⠽⠶⣟⣺⣟⣿⣽⣧⣹⣟⢿⡴⣜⣟⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⡦⣽⠿⣛⣬⣶⣷⣟⣿⡯⣝⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣦⣶⣶⣶⣲⣔⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ .taht ..ni em pleh dluow uoy snaem ti ,ekil a em evig uoy fI !!ytinigriv ym esol ot tnaw I tub ,ti timda ot gnissarrabme s'ti ...dna dlo sraey 51 m'I ,lrig etitep a m'I ,iH

⠀⠀⠠⠐⠁⠉⠛⠿⢟⡽⣊⠤⣀⠀⠀⣀⠀⠀⠀⡀⢆⠈⣿⠘⣇⡑⠌⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠠⠀⠀⠀⡀⣿ ⠉⠉⠏⡿⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢸⡇⢻⡃⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡺⠀⠀⠀⠋⠀⣇ ⡀⣧⣿⣿⣿⣿⣿⣼⠀⠀⠇⣠⣆⠀⠀⠀⠉⠋⠉⠉⠟⣿⣼⢀⠂⢽⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⡤⢡⠀⠋⡾⢸⠁⡟ ⠋⣿⣿⣿⣿⣿⣿⠉⡉⣏⡸⠹⠀⠋⠿⣾⣿⣿⣿⣿⣾⣹⠀⠀⠀⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠔⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠈⡠⠀⠄⠃⡿⣭⣿⢿⢿⣿ ⣿⣿⣿⣿⣿⣿⣱⣋⢟⣿⣿⣻⡿⣿⣠⠟⣿⣿⣿⣻⠿⡿⢿⠙⡟⢨⠀⠀⠀⠀⠀⠀⠀⠀⠂⡰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠔⠡⣖⢌⠐⢣⠛⣿⣿⣿⣿⣿⢰⣿⣿ ⣧⣿⣿⣿⣿⣿⣿⣿⣿⣾⣅⣿⣿⢀⡟⣿⣿⣿⣿⢛⠘⡀⣿⣿⢲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣠⠒⡤⣁⢋⠟⡿⣿⣿⣿⣿⣿⣿⣿⠟⢿⡿ ⣯⣿⣿⣿⣿⣿⣿⣡⣼⢀⡿⣿⣿⡟⣿⣿⣿⣹⠉⡇⢻⡿⣿⢻⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠁⠉⠖⡹⢫⠛⠟⡿⣿⢰⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⣿⣿⣿⣿⣿⢸⡿⠀⡇⣿⣿⣿⣿⣿⣿⣰⠀⣏⡿⣿⣿⣿⠱⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠁⠙⠛⡿⣼⣏⣿⣿⣿⣯⣿⣾⣾⠙⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡇ ⣿⣿⣿⣿⣿⣿⢿⣿⠀⡿⣿⣿⣿⣿⣿⣸⠀⠏⣿⣿⢻⡿⣨⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠛⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣼⣞⡇⠂⣀⣀⣤⣥⣿⣦⣿⣧⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠙⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣹⢎⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠐⠀⠀⠁⠈⠉⠉⠈⠀⠀⣧⣿⣿⣇⣿⣿⣿⣿⣿⢃⢷⣣⢜⢩⠠⠀⠀⠀⠀⡀⢄⣶⣿⣿⣿⣿⣿ ⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣤⣿⣨⣿⣿⢦⡙⠦⣊⠐⠈⠀⠀⠀⠀⠈⠁⠂⡀⠑⠌⠊⢣⠆⢋⢓⠶⣬⣤⣠⣄⣀⣀⣀⣤⢤⠶⣷⢠⡿⣿⣿⣿⣿⣿⣳⣹⢦⡜⠒⢈⠀⠀⠀⠀⠀⠀⠀⢤⣇⣿⣿⣿ ⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡅⣿⠿⣿⢲⣝⠣⢦⠔⢫⠔⠊⠁⠃⠄⠙⢢⡱⢆⡩⠜⢫⢽⣦⣈⠰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣐⣦⣿⣿⣿⢡⣻⢦⡙⢦⡙⢦⡈⠐⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⣿ ⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⣾⣾⣷⣬⣹⣦⣵⣮⠿⡹⢞⡡⠜⡪⠕⣣⡙⢧⢏⡷⢤⠘⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⣷⣿⣿⢞⣡⠜⢣⡄⢻⢄⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿ ⠀⠀⠀⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣬⡜⢂⢠⡄⠀⣀⠠⢄⠡⡰⣯⢷⡩⢞⡡⠶⡙⢾⣹⠣⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣹⠜⢣⠡⢠⠀⡄⢳⡈⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷ ⠀⠀⠁⣿⣿⣿⣶⣿⣿⣿⣿⣿⣷⣌⠰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡡⣦⠿⣩⡼⡟⢼⡑⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢺⡕⢃⠠⠀⠀⠀⠀⣄⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⡄ ⠀⠀⡇⣿⣾⢀⠀⣄⣷⣿⣿⣺⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⡃⢦⡝⣽⡘⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⡂⠑⢀⠀⠀⠀⠀⠀⠀⣯⠿⠙⠈⠀⠀⠀⠂⡀⢇ ⠀⠀⣿⣾⢀⠀⠀⠀⡇⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡁⢬⡹⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢁⠠⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⢿⠙⠀⠀⠀⠀⡏ ⠀⠀⡷⢸⠀⠀⠀⠀⡇⣼⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠁⡔⡝⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠗⠟⠻⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣻⣷⢿⠻⠏⡟⢿ ⠀⠀⡆⣌⠐⠀⠀⠀⠀⢸⠘⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡌⡚⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣲⢴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣻⣿⢾⣤⣀⣀⣦ ⠀⠀⠀⢆⡘⠡⠀⠀⠀⢣⠁⡛⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠌⣿⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠘⠀⠀⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⢾⣿⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠳⢌⠉⠀⡀⣧⡘⣦⡖⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡝⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⢰⠀⠁⡿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⣿⣇⣿⣿⣿⢣⠙⠉⠋⡸ ⠀⠀⠀⠀⠀⠀⣄⡷⠻⠀⡀⣷⢿⠲⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡶⠘⠀⡿⣸⠐⠀⠀⠀⠀⠀⠀⠋⡴⣿⣿⣿⡿⣿⣿⢿⣿⣯⡷⣟⡴ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⠳⠙⣿⠻⡀⢄⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢷⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⡾⣠⠜⢀⠖⣾⡔⠈⠀⠁⠋⠛⠾⣤⢀⠇⣿⣿⣿⣿⣿⣿⣿⣾⣟⣾⣠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣿⢻⠈⡆⣿⠻⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠙⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⣿⣿⢶⣁⠐⠀⠇⢾⣉⠟⣿⣾⣤⣀⠀⠀⠀⡏⣿⣿⣿⣿⣿⣴⣟⣿⣼⢀⠀⠀ ⠀⠀⠀⠀⠁⠛⠛⠒⠀⠀⠀⠀⡀⣷⣿⣿⢿⣿⣿⣿⣿⢿⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠰⠀⠀⠁⠉⠛⠟⣿⣿⣿⣿⢊⠄⢀⠀⠀⡟⢿⣶⣠⢀⠀⠀⠀⠀⠀⠀⣟⣿⣿⣿⣿⣼⠏⣷⣿⢀⠀⠁⠚ ⠀⠀⠀⡿⣾⣠⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⣿⣿⣿⣿⣿⡞⣿⣿⢿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢿⡿⣾⣿⣾⣏⣿⣠⠀⠁⠊⠟⡿⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⣿⣿⣿⣿⢋⣿⣿⣰⠀⠞⣣⢡ ⠀⠀⠇⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣷⣿⣿⣿⣿⢻⣷⣾⣝⣧⣾⣽⣦⣿⣿⣻⠆⠘⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⣿⠀⣿⢿⠀⠇⣹⠟⣿⣼⡀⣄⢿⠈⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣾⢠⠃⡴⡕⢪⡰ ⠀⠀⣟⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣿⣿⣿⣿⣾⡿⠦⣈⡖⢹⡄⢻⡈⣷⣿⣿⢰⠁⠂⠁⢀⠌⠂⠁⠀⣷⣿⣾⢿⣿⣿⢻⣇⣿⣿⣿⢠⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⡟⣿⣿⣿⣿⣿⠛⡾⢀⠒⠉⠀⠀ ⠀⠀⡿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢺⡅⣿⣿⣶⣍⠢⢄⡀⠀⣇⠰⡆⢿⡎⣿⣽⢈⡱⠆⢉⡰⠌⢃⠐⠳⡘⣬⣷⡙⣤⣷⣿⣿⣿⣿⣿⠂⠈⠀⠀⡄⠸⠀⠀⠀⠀⠀⡁⣿⣿⣿⣿⣟⣿⣾⢀⠀⠀⠀⢏⠟ ⠀⠀⣧⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢽⡏⣼⣣⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⢺⡔⡙⠤⢛⡾⣕⢊⡰⢓⣌⢶⠶⡾⣷⣿⠿⣿⣿⣿⣿⠸⡀⢢⠁⠀⣏⠙⠀⠀⠀⠀⡟⣿⣿⢷⣿⣿⣼⢀⠀⠁⠟⣵⣿⣴ ⠀⠀⡄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠁⠆⣏⣿⣿⢶⣋⠞⣻⣧⡌⠲⢏⡷⠛⡄⡜⠣⢌⠲⠍⣛⣮⣷⣿⣿⣿⠛⢉⠛⡸⠀⣄⢿⠉⠉⡟⣿⣿⣾⣿⡿⣽⠻⠁⠟⣴⢋⣾⢀⠀ ⠀⠀⠀⣧⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠁⠻⠎⢣⣟⣿⣿⣷⣛⣆⠜⢪⡴⢙⣦⢛⣄⢺⡜⠳⢎⢡⡴⠎⣇⣯⣿⣿⣿⣿⣿⣿⠿⠿⠻⡿⣿⣿⣿⣿⣿⣯⣽⡾⣧⡾⣽⢃⡾⣠⠀⠁⡗ ⠀⠀⠀⠀⢆⠈⠀⠀⠀⠀⠀⠀⠁⡟⢦⢀⠀⠀⠋⠾⠶⠒⠈⠀⠃⡿⢮⣙⢿⣿⣿⣿⡿⣿⣼⠿⣏⣚⠗⣈⡿⢼⡒⠜⠣⣆⣻⡜⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣟⢰⠀⣿⣿⣼⢀⠀⠞⣻⣰ ⠀⠀⠀⠀⠀⠆⠘⠀⠀⠀⠀⠋⣳⡰⢀⠀⠀⠞⣠⠀⠀⠀⣆⠈⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⢽⢻⡿⣿⣴⠏⣁⠲⢎⣃⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣾⠀⡟⡾⢾⢸⠋⡳⣾⢠⠀ ⠀⠀⠀⠀⠀⠀⣧⠘⠀⠀⠟⣬⡰⠀⠀⠀⡜⠀⠁⠟⣾⢶⠓⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⣿⣾⣱⣏⠖⣠⣀⣄⢤⡲⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⢾⢸⠏⣼⢀⣇⣷⣟⣴⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⢿⠀⡞⢳⣀⠀⠀⠀⡄⠀⠏⣴⢀⠀⠋⠣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣵⢏⡼⢀⠀⠀⠉⠉⠀⠀⠀⠀⣀⣄⣶⣿⣿⣿⣿⣿⣿⣿⣿⢿⣾⣿⣾⡿⣞⣿⣼⠀⠀⡞⣟⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⡾⣜⠠⠀⠀⠀⠀⠀⠏⢠⠀⠀⠏⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⡿⣠⠀⠀⠀⡀⣤⣠⣤⠀⠀⠄⣀⣀⢎⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣟⣾⢀⠀⠟⣾⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⣹⢀⠀⠀⠀⠀⠀⠇⢠⠀⠀⠇⣸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⠚⠤⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⡀⣁⢡⣌⣷⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⡿⢰⠀⠏⣾⢀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⣼⠐⠀⠀⠀⠀⠀⠁⣸⠀⠀⠋⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡿⣰⢀⠀⠀⡀⢆⠻⠌⠙⣤⠀⠀⠀⠁⠋⡒⠉⣬⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⠀⠁⣿⢀⡇⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⣘⠀⠀⠀⠀⠀⠀⡇⢠⠀⠟⣿⣿⠃⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⠂⠀⠐⠀⠀⡂⣷⣿⡻⢟⠙⠀⠗⣼⣫⢾⠻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⠀⡟⢸⠁⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⡴⠈⠀⠀⠀⠀⠁⠁⣼⠀⡞⣇⣿⣿⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⣚⠡⣉⡙⠉⠉⢄⡸⣿⣿⣿⣿⢿⡹⣶⣿⣿⣿⣿⣼⣧⣧⣿⣿⣿⣿⡷⣿⣿⡏⣾⠀⡿⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⣺⢌⠀⠀⠀⠀⠀⠰⡟⢸⠃⢠⡏⣿⣷⣿⣿⣿⣿⣗⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⠟⣾⣩⣚⠗⠉⠏⣽⣿⣿⣿⣿⣿⣿⢿⣛⣦⣿⣿⣿⣿⣞⣿⣿⣿⣷⣯⣿⢾⣿⢰⡟⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⢒⢈⠀⠀⠀⠀⠀⢃⣿⢀⡇⣭⣢⢍⢣⡿⢿⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢯⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⢿⣿⣿⣏⣿⣿⣯⣿⣿⣿⣽⡟⣾⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡽⠎⠀⠀⠀⠀⠀⠀⡟⣸⠀⣾⠃⢆⢋⣿⣧⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣴⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣽⣿⢿⣾⣻⣿⢿⣯⣿⣿⣽⣻⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⢾⠃⢀⠀⠀⠀⠀⠁⣿⢸⡞⣀⠘⢣⣿⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣈⣿⣿⣿⣳⣿⣿⣟⣿⣯⣿⣿⣿⣯⣿⣯⣟⣿⢿⣯⣿⣿⣻⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠼⢨⠱⠀⠀⠀⠀⡏⣿⢰⠀⢌⠃⣿⣿⣿⣿⣴⣿⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣷⢯⣷⣿⣯⣱⢾⣯⡵⣿⢾⣟⣿⣽⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⣻⢌⠣⠀⠀⠀⠇⣿⣼⠉⡔⠋⣿⣯⣿⣽⢋⡾⣴⣠⢀⡄⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣾⡿⣶⣫⣵⣟⢺⣹⣿⣏⣻⣼⡟⣿⣾⣝⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢻⣌⠐⠉⠛⠟⢿⣿⢹⠛⠿⣻⠿⣶⣠⣀⣀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣞⣿⣿⣽⢾⣻⣷⢟⣯⡽⣾⣛⢿⣽⡾⣟⣿⣻⣗⢯⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⣄⣀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣯⡽⣿⣿⣿⣿⣽⣻⣷⣟⣯⡷⢯⣳⣽⢾⣿⡯⣿⣿⣞⡳⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣷⣿⣿⣿⣿⣏⣿⣿⣽⣿⣿⡾⣟⣿⢾⣿⣿⣿⣾⣟⣯⡷⣟⣳⣟⣳⡾⣟⢾⣿⢯⣿⣏⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⠘⠂⠀⠀⠀⠀⠀⠁⠀⠊⠁⠠⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡇⣿⣤⣷⣿⣿⣿⢿⣯⡾⣟⣿⣿⢾⣿⣯⣿⣿⣟⢯⣳⣽⡽⣾⡽⣻⣵⢾⣟⢯⣽⢯⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢌⡰⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣵⣀⢀⠈⡁⣬⣷⣾⣶⣿⣻⣿⣿⣿⣿⢿⣿⣿⣿⣟⣻⡿⣟⢯⣽⠿⣯⣝⡿⣯⡟⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⡇⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⣿⣿⠘⢉⠋⡿⣿⣿⣿⣿⣿⣤⢃⡿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠋⣙⣦⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣥⢚⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⡿⣿⣿⣾⣶⣥⢋⠟⣿⣿⢿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡴⢏⣿⣿⣿⠿⡛⣝⣬⣦⣶⣶⣶⣶⣤⣩⢛⠿⣿⢡⢻⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣤⣋⣛⠿⠿⣿⣿⣿⣿⣿⣿⣿⠹⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠻⣍⣶⣿⣿⣿⣿⣿⣼⢀⠉⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⡟⣿⠈⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣷⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢩⠛⡛⣛⣛⠛⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠇⣿⣿⢹⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣷⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣡⠟⡿⣿⣿⣿⣿⣿⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⠘⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⢿⠈⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡆⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢋⡵⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⡇⣿⣿⣿⣿⣿⢿⠙⡄⣷⣿⣿⣿⣿⣿⣿⣴⣫⣾⣡⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣇⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣼⢋⡴⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⢿⠛⣍⣤⣶⣶⣶⣥⣩⢛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⣧⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣰⡟⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⢀⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢡⡿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⢀⠀⠀⠄⠀⡀⣀⣤⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡇⣿⣿⣿ ⣿⣿⣿⣿⣼⢋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠋⠀⢠⠃⠙⠉⠀⡀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣷⣿⣿ ⣿⣿⣿⣰⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣶⣿⣿⣿⣿⣿⣿⣰⠀⠊⠃⠹⣼⠀⠀⠋⣿⣨⢉⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿ ⣿⣿⣰⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠻⣍⣶⣿⣿⣹⠀⠀⠃⡿⡟⢺⡇⠀⣿⣸⡏⣼⠻⠘⡀⣿⣿⣿⣿⣿⣿⣿⣶⣷⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿ ⣿⣼⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡙⣦⢠⠀⠆⣿⣿⣿⢸⡀⠀⣿⣿⣄⣿⢀⣠⠀⣇⣾⣴⣩⣟⢛⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣷⣿ ⣿⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠈⠀⡟⣿⣿⣿⢸⠀⡇⣿⣰⡇⣾⠿⡠⠒⣡⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠀⡆⣿⢿⣿⢸⠀⣿⣹⠈⡿⢰⣸⠀⠷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠀⣆⣻⣿⢸⠀⣿⣿⢻⢠⣠⠀⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⠠⠁⣦⣰⠟⠠⡿⣾⢠⠀⠁⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡇⣿⡏⣿⣿⣿⠀⠀⠁⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣤⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⢻⠟⣿⣻⣿⣽⣏⠟⠡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣀⣀⣷⣿⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⣓⣌⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢈⠀⠀⠀⡀⣷⠀⠀⠀⠀⣎⣿⣿⣿⣿⣿⣼⣤⣤⣷⣿⣿⣿⣿⣿⣿⣿⣾ ⡜⣿⣿⣿⣿⣿⣶⣿⣿⣿⣼⠀⠀⣀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣆⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠘⠁⠉⠋⠹⢀⢷⠿⡿⢿⡙⣧⣿⣿⣿⢸⡍⢀⡀⣷⣿⣿⣿⣿⣿⣿⢸ ⢻⣧⣿⣿⣿⣴⢩⣆⣿⣼⠏⠿⡼⠏⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠘⣅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣷⣿⣿⢻⡀⣧⣿⣿⣿⢿⣙⣷⣿⢸⣷⢻⠉⠉⣦⣿⣿⣿⣿⣿⢇ ⣿⡘⣿⣿⣿⠸⡇⢻⣀⡟⣿⣿⢃⣿⣿⣿⣴⢀⠤⠙⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢃⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣴⣷⣿⣿⣿⣿⡹⣷⣿⣿⢿⠈⣌⣷⣿⣿⣶⠹⣧⣿⡘⣷⣿⣿⢿⡙⣇⣿⣿⣼⡏ ⣿⢿⡌⣿⣿⢃⡿⣼⡇⣶⣶⢸⡿⣿⣾⢡⠘⠀⠀⡀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠀⠀⠀⣄⣷⣿⣿⣿⠹⣧⣿⣿⢿⡌⠹⠧⣿⣿⣿⡘⣷⣿⠸⣁⣉⢁⢸⣿⣿⣿⢡⣿ ⣿⣿⢿⡜⣰⡆⣭⣸⡇⣧⣿⢸⣿⣴⢋⣿⣿⣾⢋⡿⣿⣿⣿⣿⣿⣾⣴⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠀⠉⡟⡙⣦⣿⣿⣿⠹⣧⣓⣟⠘⡔⠸⡄⣿⣿⣿⡙⣶⢃⡿⣿⡧⠃⣿⣿⣰⡟⣿ ⣿⣿⣿⣿⠻⡀⣅⢸⡀⡟⣿⢸⢋⡿⣿⣿⣼⠏⣿⣿⣿⣿⣶⣥⣀⠗⡙⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣆⣿⣿⢻⣌⣿⣿⣿⡘⢸⣿⣿⠘⡷⠀⣧⣿⣿⣿⠻⡝⣷⣹⡼⠀⣿⣰⡏⣿⣿ ⣿⣿⣿⣿⣿⢻⡀⢠⣷⣿⣿⢃⢳⣝⣭⣤⠏⣿⣿⣿⣴⢋⡿⣹⠀⡀⣉⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⢿⡙⣣⠟⢿⡙⣦⣿⢸⢈⣧⣿⣿⡻⢙⡁⣿⣿⣿⣿⣿⠻⣆⢠⠀⣰⡟⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠘⠛⡆⣿⣿⡇⣿⣿⣿⡉⣦⣶⣩⠟⣦⣿⣿⣴⢋⡿⣿⣿⣿⣴⣯⣿⣿⣿⣿⣿⣿⣿⣿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⡂⣍⣦⣿⣿⣿⣿⢿⣌⣷⣿⢿⡻⢛⢫⣿⣿⣿⣿⣿⡆⣿⣿⣿⣿⣿⣴⢉⡼⠀⡿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢻⡆⢿⡙⣦⣿⣿⣿⢺⢃⠿⣿⣿⣿⢿⡴⢋⡿⣾⣵⣩⣚⠒⡙⣧⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠙⠂⣿⢿⡛⣭⣬⣶⣷⣿⡸⣄⣿⣿⣿⣿⣼⣿⣿⣿⣿⢸⣿⣿⣿⣴⢋⡰⠋⢿⠀⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢸⣧⣿⢿⡙⣦⣷⢛⣿⣿⣿⣿⣵⢛⡋⣛⠟⠿⣿⣹⠀⠁⡉⡟⣿⣿⣿⣿⣿⣿⣿⣿⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡙⣧⣼⣋⣛⣟⢭⠩⠉⡌⣷⣿⣿⣿⣿⡿⣿⣿⣿⢿⡾⣡⢟⡴⢋⡰⡟⣿⠀⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡄⣿⣿⣿⣭⠢⣙⣭⣤⣶⢃⡿⣿⣿⣾⣴⣥⣫⢛⠿⣿⣿⣿⣿⣿⣿⠛⣿⣾⣴⣢⣿⡙⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡛⣝⣮⣷⣿⣿⣿⣿⠹⣦⣷⣿⣿⣿⣿⣶⣥⢋⠾⣥⢊⡡⢛⡿⣿⣿⡇⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠹⣆⣷⣿⣿⢿⠿⡛⣍⣭⠤⠿⠻⠚⠁⣍⣦⣶⣶⣶⣶⣶⣶⣶⣥⣩⣋⠛⠽⣤⢦⠶⠲⠓⣉⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⡀⣭⣦⣶⣶⣶⡶⣥⣩⣋⠖⡴⣩⢛⠿⣿⣿⣿⣿⣸⣿⣰⡟⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢹⠀⡉⣬⣶⣷⣿⣿⣿⣿⣿⣿⣀⠋⣶⣶⣶⣶⣤⠠⠗⠿⠛⡛⣙⣭⣬⣶⣶⣷⣿⠿⠿⠿⣿⢿⡛⣍⣦⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣍⣷⢿⠽⡭⣫⣛⣛⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⠨⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣾⡁⣾⣿⣿⠿⡿⣿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⡄⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠻⣿⣿⣿⣿⣿⣿⣿⠿⠻⣛⣍⣬⣶⣶⣶⣶⣶⣶⣶⣶⣴⣤⣩⣛⠛⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢠⣾⣯⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣛⠟⡿⣿⣾⣴⣩⡙⣬⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡄⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣾⠀⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣋⢛⠿⣾⣴⣩⢋⡙⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢸⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⢸⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣇⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⢸⣇⢻⣇⠘⡄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⢿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣧⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠃⢠⣾⣇⣿⣿⢸⡏⣿⠹⣧⠻⠀⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⠸⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢻⣆⣿⣿⣿⣿⣿⣾⣧⣿⣿⣴⠋⢠⡞⢣⡿⣿⣹⠏⣿⣿⣾⣶⣴⢡⣍⣬⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⣿⣿⣆⣿⣿⢻⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣇⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠹⣦⣿⣿⣿⣡⠋⣿⣾⢱⠔⢀⡉⠛⠛⠿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⢿⠿⡻⣙⣀⣉⣭⣭⣭⣩⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡄⣿⠀⣿⢸⣷⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⡛⣛⣛⢛⠟⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡙⣬⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣾⣷⣿⣿⢿⡌⠹⣧⢻⡇⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡆⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⠦⡛⣍⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠿⣿⢿⡙⡈⣷⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡌⣬⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣧⢹⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣆⢿⠻⣍⣬⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⣆⠹⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣌⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡐⠠⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠺⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣴⢀⠋⡟⠻⣌⣷⣿⣿⣿⣿⣿⣿⣿⣿⣾⣴⣡⡟⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⠆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣡⢋⠟⣿⣿⣿⣿⣿⠿⡛⣌⣶⣶⣿⣿⣾⣴⢁⠟⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠻⣛⣝⣭⣬⣶⣶⣶⣶⣶⣶⣶⣽⣭⣭⣋⢛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⣛⠟⠿⣿⣿⣿⣿⣿

⠄⠄⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠄⠄⠄ ⠄⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⠈⠄⠄ ⠄⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣶⣶⢀⣿⣿⣾⣶⣶⣶⣶⣶⣷⣾⡳⢷⠘⠄ ⠄⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣈⠗⡿⣿⣿⣿⣿⢿⠿⣸⣿⡧⢹⠈ ⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣧⣿⣿⣿⣿⣿⣿⣿⡻⣧⣟⢸ ⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⣿⣿⣿⣿⣿⣿⣿⣿⣽⣇⢸ ⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⢹⣌⢯ ⠄⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣼⡉⣄⢰ ⠄⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡇⣿⣿⣿⣿⣿⣿⣼⢅⣾⠯⣰ ⠄⠄⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⣿⣿⣿⣿⣿⣿⣰⠎⣽⢟⡿⢸ ⠄⠄⠄⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣡⠌⢩⣎⣿⣿⣿⣴⢀⠃⡿⣿⣿⣿⢀ ⠄⠄⠄⠄⠄⣛⣭⣦⣶⣶⣥⣭⣈⢏⠫⣛⣛⢉⠍⠩⣀⢀⠄⠄⡷⣭⣯⣷⣿⠄ ⠄⠄⠄⠄⠁⡍⣦⣾⢶⠵⠭⡢⣛⣉⣚⠴⠯⠭⠭⠭⠄⠄⠄⡇⣭⢌⠤⣧⣼⠄ ⠄⠄⠁⡿⣿⣿⢿⠜⠿⡿⣭⢶⣻⣿⣽⢌⠅⣥⢭⡥⠈⠄⠄⣿⣝⣮⠶⡿⢠ ⠄ ⠄⠏⢢⣟⣿⣿⣿⣿⡇⠽⣭⣯⣿⣿⣿⠣⠃⣱⣥⡾⣷⠈⠄⠼⡳⣽⣛⠟ ⠄⠄ ⠁⣯⡐⡿⣿⣿⣿⣿⡇⣿⣾⣿⣿⣿⣿⠿⢹⡧⣿⢇⡇⢿⠸⣳⠿⡻⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇

nah, why can i find porn on an emoji combo site???

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠟⣿⣿⠻⠀⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣾⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠈ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⡀⣀⣀⣀⣄⣤⣤⣿⣿⣿⢀⠉⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣼⢠⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣿⣿⣿⠻⠀⠀⠀⠀⠀⣿⣿⣿⣿⢹⠀⡇⣿⣿⣿⣿⣼⣤⣤⣤⣤⣤⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⢹⠀⠀⠀⠀⠀⠀⡏⣿⣿⣿⣿⣿⣿⣿⢿⠿⠻⠛⠛⣿⣿⣿⣿⣿⠀⡇⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⡇⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⣦⣿⣿⣿⣿⣿⣾⣶⣶⣡⣛⣝⣧⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⢸⠀⠀⠁⠋⠛⠛⡙⣈⣀⢀⠀⠀⠀⠀⣦⣿⣿⢿⣜⣷⣿⣿⣾⢠⡏⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⣿⣿⢸⠀⠟⣿⣿⣿⣿⣿⣿⠹⠁⡿⣿⣿⣿⣿⣿⣷⣿⣿⠻⣈⣀⠀⠁⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢿⠇⣿⣿⣿⣿⣿⣿⣿⣿⡀⣷⣿⣿⣿⣶⢀⠀⣦⣿⣿⣿⠹⠀⡟⣿⣿⣿⣿⣿⣿⣸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠟⣿⣿⣿⣿⣿⠀⣷⣿⣿⣿⣿⣿⣿⣼⠀⠀⡀⣀⠀⠀⠀⠀⠀⣄⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠋⡿⣿⣿⣿⣿⣿⣿⣸⠀⠀⣄⣶⣶⣶⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⡿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠟⣿⣿⣾⣧⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⣿⣿⣿⢀⡟⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⣷⣿⣿⢿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⣍⣤⣤⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⣿⣿⣿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣄⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⣉⣬⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣶⣿⣿⣿⣾⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠟⣿⣿⣿⣿⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡟⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡆⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⣤⣶⣶⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⡯⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠛⣿⠀⣳⠈⠀⠀⠀⠀⠀⡀⣤⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠀⠀⠀⠇⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠛⠶⡭⣾⣴⣤⣀⣇⠸⠠⣇⠿⠿⠿⠿⠿⠻⠛⠉⢎⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠻⠈⠂⡿⣿⢰⠀⠀⠀⠉⠉⠛⠛⠿⡿⣿⣛⠛⠞⡴⣀⠀⠀⠀⠁⡾⠀⠀⠀⡆⣾⣷⣿⣿⣿⣿⣿⣿⣾⣶⠻⠙⠀⠀⠀⠀⠀⠀⠀ ⠉⡈⣷⠏⣿⣼⠏⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠁⠔⣠⠀⠁⠈⠀⠀⢇⠀⣀⣦⣷⣿⣿⣾⠀⠏⣿⣿⣿⠿⠙⠈⠀⠀⠀ ⣄⣷⡸⣧⣿⢠⣿⣿⣿⣿⣻⡟⣿⣿⣾⣴⢀⠀⠀⠀⠀⣽⣧⣰⠁⠀⠀⡀⣸⠀⠀⡄⠀⠀⠀⠀⣀⣦⢹⠀⣷⢹⣭⣽⣭⣽⣿⢾⠶⠛ ⠀⠀⢄⣻⣰⠧⣀⣧⡿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⠀⡄⣿⠴⢠⠀⠀⡇⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣄⣿⣿⣿⣿⣿⣿⣠⠀⠃⣾ ⠹⠀⠀⣧⠀⡄⢿⡿⣿⣿⣾⣠⠀⠂⠓⠀⠀⠀⠀⠀⠀⡇⣸⠀⠀⠀⠀⡿⠈⠀⠀⡿⠹⠀⠀⠀⠀⠆⣩⣉⣀⣤⣻⣉⣤⢳⠈⠀⣿⢼ ⡀⠀⠀⡆⠀⠀⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⠸⠀⠉⠛⡿⣿⢻⠙⠏⣿⣿⠹⠀⠀⠀⠀⢦⡀⠀⠀⡀⣷⢿⠘⣀⢦⣿⠀ ⠀⠀⠀⠀⠀⠀⣧⣇⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⢻⠈⠀⠀⡀⠀⠉⠉⠀⡄⣿⣿⠹⠀⡄⠹ ⠀⠀⠀⠀⠀⠀⡇⡆⢸⠀⠀⠀⠁⠉⠉⠀⠀⠀⠀⡏⣿⣿⣿⣬⣶⣷⣾⣶⣶⣤⣩⠞⣠⠀⠀⠀⠀⠀⠁⠐⠀⡞⣄⠻⣟⣿⣿⠘⠀⣇ ⢻⠰⠀⠘⠀⠀⡇⠏⢰⠋⠗⡾⣠⢀⠀⠀⠀⠀⠏⣰⢀⠀⠀⣀⣄⠤⠒⠔⠤⣠⣀⠀⠀⠀⠀⠀⠀⠋⡡⠃⡴⠏⢠⠆⣷⣿⣿⢸⠀⡀ ⣷⠘⠀⠀⠀⠀⡇⣾⣠⠏⣠⠀⠈⠀⠀⠀⠀⠞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣾⢏⣩⠟⣼⡝⠀⡆⢿⣌⢻⠀⠀ ⡵⢹⠀⠀⠀⠀⡇⠀⠟⢠⠀⡇⣇⢘⠀⠋⡰⠀⠋⠠⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠊⠃⡳⣹⡼⢃⣶⢋⡾⢃⠼⠀⣦⢹⣇⠀⠀ ⡀⣿⠈⡇⠀⠀⡄⠃⢷⠘⠀⠋⣫⡿⣽⢎⢋⡴⢀⠁⠞⡡⠛⠟⣾⠠⠀⠀⠀⠀⠀⠱⠁⠞⢀⠆⣲⠖⣶⡴⣤⢀⡦⣿⠙⠀⣿⡌⠀⠀ ⠀⡀⢷⡏⠀⠀⠀⡏⡄⢿⡟⣴⢞⣯⣣⡴⢆⡠⠒⣱⠟⣿⣿⣠⠀⠀⠀⠀⠀⠀⠀⡀⢰⠀⠀⠃⠶⠤⠳⠈⠀⠀⠁⣿⣿⢿⣿⢠⠀⠀ ⠀⠀⡄⣿⠸⠀⠀⢸⠀⣿⣧⡄⠷⠕⢛⡷⠿⠿⠿⣶⣴⣠⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠗⡿⣿⣿⠿⣿⠛⠿⣿⣴⣧⣷⣿⠈⠁⠛ ⠀⠀⠀⣇⢹⠀⠀⢰⠀⣼⡇⠀⠇⣸⠀⠀⠀⠀⠀⠊⡤⠦⠳⠟⣿⠀⠀⠀⠀⠀⠀⡿⠈⠀⡀⣦⣾⣶⣶⣶⣤⣠⢀⠀⡇⣿⣘⣀⣀⠀ ⠀⠀⠀⠀⣷⠈⠀⠀⠀⢸⡇⠻⣿⠹⠀⠀⠀⠀⠇⢁⠟⠿⡿⣴⢟⢉⠀⠀⠀⠁⠈⣄⢿⠀⠀⠀⠻⠉⠉⠋⢿⠙⠀⠁⡛⢸⢸⠀⠀⠀ ⠀⠀⠀⠀⡄⢹⠀⠀⠀⢀⠀⢹⡤⣦⣶⠿⠿⠛⡿⣾⣶⣥⣛⡿⣤⣀⣠⣠⣠⢉⡜⢷⡟⠹⠀⠀⡇⡘⢀⠀⡆⣼⣿⣼⣀⢸⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⣇⠀⠀⠆⠹⠁⣧⠈⠀⠀⠀⡀⠿⠚⠖⡾⣴⣤⣀⡄⠻⠿⠶⡴⣀⢧⡟⣸⣷⡀⣤⣦⢸⠀⠀⠀⢸⣇⣿⣿⢸⠀⠀⠀⠀ ⠒⠰⠀⠀⠀⠀⢹⠀⠀⣷⡿⡙⢹⠃⠙⠀⡏⣀⣽⠻⠙⠉⠋⠟⡿⣿⣬⠀⠀⠀⡆⣿⢸⡀⢳⠀⠀⢸⠀⠀⠀⠇⠀⢿⣾⠀⠀⠀⠀⠀ ⠀⠆⠀⠀⠀⠀⡆⠘⠀⡄⣿⣸⣄⣠⣇⠾⢸⠀⣧⣿⠀⣀⣀⠀⣇⡏⢹⠀⠀⠀⠀⣿⢷⠀⡄⢻⠈⢸⠀⠀⠀⡀⠀⡇⢀⠀⠀⠀⠀⠀ ⠀⠀⢠⠀⠘⠀⠀⢧⠈⠀⣇⣿⠘⠀⠀⢣⢸⠀⡇⣾⢹⠀⠀⠀⡀⣿⣿⠀⠀⠀⠀⣆⡇⠸⠀⣇⣿⢀⠀⠀⠀⠘⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⢣⠀⠀⢳⣄⠀⠀⡀⢷⠀⡆⣧⣌⠰⠀⠀⠀⡆⣸⢸⠀⠀⠀⠀⡀⢸⠀⡇⣿⠀⠀⠀⠃⢰⠀⡏⠀⠀⠀⠉⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⢧⠈⡀⢳⠈⠀⠀⠀⠀⠀⢰⢦⠈⠀⠀⠀⠀⣄⢰⠀⠀⠀⠀⠀⢸⠀⡇⣹⠉⠛⠚⠶⠴⣤⣠⢀⣀⠀⠀⠀⠀

⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠙⠉⠉⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⢸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸ ⡀⣀⣀⣀⣀⣀⣀⣄⣧⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣶⢰⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⢿⣿⣿⢿⠹⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⠸⠀⡇⣿⣿⣿⣿⣿⣾⣶⣶⣶⣶⣶⣶⣴⣠⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠉⠉⠈⠀⠀⡇⣿⣿⣿⣿⣿⢻⠀⡇⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡆⣿⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠉⠉⡉⣯⣿⣿⣿⣿⣿⣿⣶⣿⣿⣼⣋⣛⣙⣦⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠄⣿⣿⣿⢿⡙⣦⣿⣿⣿⣿⣿⣰⠁⣿⣿⣿⣿⣿⣿⣿⠹⠀⠀⠀⠀⠀⠀⠀ ⠀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⠻⣌⣶⣶⣤⣀⠀⡟⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⠻⠈⠀⠀⠇⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⢿⠘⠀⡿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⣤⣶⣶⣿⣾⣶⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣶⣿⣿⣶⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⠿⠿⠿⠻⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣿⣿⣿⣿⣿⣿⣿⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣤⣤⣤⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⣤⡭⡿⢟⣟⣟⣿⣻⣉⣽⣄⠡⡟⣿⡟⢿⣿⣿⣽⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠏⣿⣶⣤⣤⣤⣤⣦⣷⣿⠹⡟⣿⣿⢿⡽⣿⣿⣿⢿⠘⠀⠀⠀ ⠀⠀⠀⠀⠃⣰⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣾⣠⣀⠀⣀⣀⣀⣦⣷⠈⠀⠀ ⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⣮⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠈⠀ ⠀⠀⠁⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀ ⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⣶⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠈⠀⡀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀ ⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢦⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀ ⠀⠀⠀⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⢠⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⠀ ⠀⠀⠀⣾⣦⠻⠈⠀⠀⠀⠀⠀⠀⠀⠁⢠⡀⠀⠀⠀⠀⠀⠀⠀⠁⠔⢀⠀⠀ ⠄⠿⢀⣲⠒⡃⣦⠻⠙⠉⠀⠀⠉⠋⡹⠉⢙⠈⠀⠀⠀⠁⠋⠴⢀⠀⠀⠀⠀ ⠖⢴⠇⠐⠐⣿⠈⡎⣧⣷⣿⣿⣽⣯⣿⣿⣾⣶⣴⣤⣬⣈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡄⠑⡞⣴⣄⠃⣿⣿⣹⣾⣿⣿⣿⣿⠃⣨⠀⠀⠏⠘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡔⠀⠖⠀⡿⣿⣿⣿⢸⣿⣴⣿⣿⣿⠚⠀⠉⣀⢡⠐⠀⠀⠀⠀⠀⠀ ⠀⠀⠆⠀⠃⠘⡄⣿⣿⣿⠄⠀⢠⠀⣿⣏⣾⢇⡤⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⢀⠀⠀⣤⣶⠲⠉⠉⠖⣴⣤⢂⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠤⠀⠂⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

:cum:🍌😫🥛🍆🍆🖐🏼🍑 🖐🏼🔞💦🥵╰⋃╯(‿ˠ‿)b|g b|a©k d|©k( -_•)╦̵̵̿╤─( ●°³°)╰⋃╯(๑•́₃•̀๑)╰⋃╯╰⋃╯(⊙ᗜ⊙)(۶●ᴗ●)۶╰⋃╯(✽Ő3Ő)╰⋃╯

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

“ 𝒊 𝒂𝒎 𝒂𝒚𝒆𝒔𝒉𝒂 𝒆𝒓𝒐𝒕𝒊𝒄𝒂 ”

⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⡏⠀⠀⠀⢣⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣟⠧⠤⠤⠔⠋⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⢀⣶⠤⠒⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠈⢿⣆⣠⣤⣤⣤⣤⣴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⢿⠀⠀⠀⢀⣀⣀⠘⣿⠋⠁⠀⠙⢇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢇⡞⠘⣧⠀⢖⡭⠞⢛⡄⠘⣆⠀⠀⠀⠈⢧⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀ ⠀⠀⣠⣿⣛⣥⠤⠤⢿⡄⠀⠀⠈⠉⠀⠀⠹⡄⠀⠀⠀⠈⢧⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣼⡟⡱⠛⠙⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠹⣧⡀⠀ ⢸⡏⢠⠃⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠸⣷⡀ ⠸⣧⠘⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠇ ⠀⣿⡄⢳⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⢹⡇⠘⣇⠀⠀⠀⠀⠀⠀⠰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⡟⠀⠀ ⠀⢸⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢳⣼⠟⠀⠀⠀ ⠀⠸⣧⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⢷⣄⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣠⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣀⣀⣠⣤⠾⠷⣦⣤⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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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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ziddab :gat ym obob �� �� ᶻ ziddab erac ekat TON YHW TIHS TUB GNITIRW FO YAW SIHT EKIL LL4UOY FI KDI S4TI SEIDDAB SYAWYNA .msagro evisolpxe rehtona fo ecipicerp eht no gnireteet flesreh leef dluoc ,regnol hcum tsal t'ndluow ehs wenk ehS .tops-G reh tsniaga kcoc sih fo gard hcae htiw rethgit dna rethgit gnilioc ,erom ecno ylleb reh ni wol tliub erusserP .flesti emit sa dlo sa ecnad tneicna na ,lamirp dna war saw tI .erusaelp fo snaorg dna stnap hsrah rieht ,niks gniteem niks dekcils-taews fo pals eht moor eht dellif gnilpuoc rieht fo sdnuos ehT .no mih degru ehs sa kcab sih nwod gnikar slian ,mih ot gnulc ehS .tsurht hcae htiw retsaf dna redrah gnimoceb ,desaercni yllaudarg ecap siH .enips reh pu gnitoohs skraps gnidnes ,tilc reh tsniaga sivlep sih dnuorg spih sih fo llor hcaE .tsrif ta lausnes dna wols saw ti ,evom ot detrats eh nehW .hcni suoiciled yb hcni taeh gnimoclew reh otni gniknis ,drawrof dehsup eh ,tsujda ot emit reh gnivig ,ylwolS .ecnartne reh tsniaga kcoc sih fo daeh daorb eht dehcton eh sa sreh otno gnikcol ezag sih ,pop tfos a htiw tsaerb reh desaeler eH .emoc ot saw tahw rof reh gniraperp ,nepo reh hcterts ot meht gnirossics ,tigid rehtona dedda eH .gnilruc seot reh dah niaga ecno hself evitisnes reh gniborp sregnif sih fo noitasnes ehT .xamilc reh fo skcohsretfa eht gnidir llits ,derepmihw ehS .msagro reh morf demsaps llits tnuc reh woh gnileef ,reh edisni kcab regnif a deppils eH .yssup reh sdrawot gnihcni ,hcamots reh ssorca devor dnah eerf siH .ylideerg gnilkcus ,htuom sih otni eno gnikat erofeb elppin denedrah hcae ot egamoh gniyap ,stsaerb reh no noitnetta gnihsival ,rewol devom eH .ydob reh revo lla noissessop sih fo ecnedive evael ,reh kram ot detnaw eH .ereht hself rednet eht ta gnikcus dna gnippin ,kcen reh nwod sessik deliart eh ,spil reh morf gniwardhtiW .mih deklim dna dehcnelc yssup reh yaw eht gnirovas ,ylwols sregnif sih devomer eH .rehtruf neve erised nwo sih gnileuf ,gnitacixotni saw hcuot sih rednu trapa llaf reh gnihctaW .esaeler reh fo dnuos dna thgis eht ni delever eh ,mih htaeneb enodnu emac ehs sA .ylballortnocnu hctiwt dna ekahs reh gnikam ,reh hguorht dellor erusaelp esnetni fo evaw retfa evaW .reh revo dehsarc ysatsce sa sregnif gnignulp sih no nwod gnipmalc yssup reh ,tuo deirc ehS .egde eht revo gniltruh reh tnes dna thgir tsuj sregnif sih dekoorc eh ,eromyna ekat t'ndluoc ehs thguoht ehs nehw tsuJ .erusserp gnidliub eht tsniaga thguof ehs sa etihw gninrut selkcunk ,steehs eht detsif ehS .pans ot ydaer gnirps a ekil rethgit dna rethgit gnilioc ydob reh ,srats gniees reh dah noitalumits laud ehT .tilc reh no selcric gnineddam sti deppots reven bmuht sih ,elihw eht llA .reh edisni tops cigam taht tih ot sregnif sih gnilruc ,mhtyhr ydaets a tes eH .repeed mih ward ot gniyrt ,stigid sih dnuora derettulf sllaw renni reH .ekaw rieht ni senil der niht gnivael ,sredluohs sih otni gud slian reH .ydob reh hguorht delppir erusaelp sa spil reh gnipacse psag a ,hcuot sih otni dehcra ehS .reh edisni tops teews taht tih ot gnilruc ,reh otni degnulp sregnif siH .yssup thgit reh otni sregnif owt hsup ot rewol gnippid erofeb bun evitisnes eht gnilcric ,tilc reh desaet eH .lasuora htiw kcils ydaerla reh gnidnif ,sgel reh neewteb demaor dnah siH .yellav dna evruc yreve gninrael ,seidob s'rehto hcae derolpxe yeht sa deniwtne sbmil ,deb eht otno delbmut yehT .gnitnap htob meht tfel taht ecnad a ni sreh htiw gnilgnat ,htuom reh dedavni eugnot siH .ssik gniraes a ni spil reh erutpac ot ni denael eh sa skeehc reh revo gnihsurb sbmuht ,ecaf reh deppuc eH .etarepsed dna toh ,dedilloc seidob riehT .teef reh ot reh gnillup ,nwod dehcaer eh ,drow a tuohtiW .gninetsilg spil dna dehsulf skeehc reh ,sdil yvaeh hguorht mih ta pu dekool ehs ,pop a htiw yawa gnikaerB .erusaelp erom ,noitcirf erom gnikees ,stnemevom reh htiw emit ni tsurht ot nageb spih siH .enalp dna egdir yreve gnippam ,osrot delesihc sih demaor rehto eht elihw spil reh tsap tif t'ndluoc ehs tahw dekorts dnah enO .reh evoba edam eh snaom laruttug ,peed eht ni gnilever ,gnipruls dna gnikcus ,daeh reh debbob ehS .htuom tew ,mraw reh otni repeed mih gnikat erofeb telpord eht ta gnippal ,tuo detrad eugnot reH .tils eht ta gnidaeb mucerp ytlas eht gnitsat ,pit eht ot spil reh desserp ehs ,ni gninaeL .psarg reh ni thgiew dilos eht ta gnilevram ,htrig sih dnuora sregnif rednels reh depparw ehs ,sdnah gnilbmert htiW .thgis eht ta thguac htaerb reH .deen htiw gnibborht dna duorp gnidnats ,pu gnarps tI .senifnoc sti morf htgnel kciht sih gnieerf ,reppiz dna nottub eht nepo dekrow ehs ,yletarebiled ,ylwolS .nosirp mined sih tsniaga gniniarts eglub tnenimorp eht revo gnizarg spitregnif ,noitarolpxe reh deunitnoc ehs ,degaruocnE .spil sih gnipacse naorg wol a ,hcuot reh ta derevihs eH .htaeneb niks mraw eht sserac ot htaenrednu gnippils erofeb snaej sih fo dnabtsiaw eht gnicart ,trihs sih fo meh eht gnola decnad sregnif reH .mih yleuqinu gnihtemos htiw delgnim engoloc sih fo llems ,mih ffo gnitaidar taeh eht leef dluoc ehS .dehcuot seidob rieht litnu resolc reh gnidiug ,kcab reh fo llams eht dnuof dnah siH .nettogrof edistuo dlrow eht gnivael ,edisni deppets yeht sa meht dniheb tuhs dekaerc rood moordeb ehT ereh syawyna )erutam er'uoy fi ti ekil uoy erus mi tub hcum kdi os nosrep dr3 n "sgnileef" tuohtiw tums gnitirw emit tsrif ym s'ti( ???oy21 ta seiddab eb annaw etirw uoy yaw eht morf uoy era dlo woh wonk ew hctib zuc tums doog a s'tahw uoy wohs em tel hsidlihc lla s'ti tuoba gnippay lla uoy era tahw ereh tums doog dnif did reven i gmo ????tuoba deracs uoy ftw "ereh tums etirw tnod"

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣈⠀⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠟⣿⣿⣿⣿⣿⣸⠈⡉⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣾⢢⡥⠈⡀⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠇⣿⣿⣾⣶⣷⣿⣿⢿⡙⣶⠻⣮⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣼⠃⠔⣤⠁⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣶⠒⠐⠆⠶⠶⠛⣛⠩⣄⢷⡙⣧⣿⣿⣶⣿⣿ ⣿⣿⣿⣿⣿⣸⠌⣋⡐⢋⡿⣿⣿⢻⣛⣝⣤⣷⣿⣿⣿⣿⢠⣥⣭⢿⠙⠈⣀⣛⠉⠤⡲⣛⣉⡏⣿⠹⣧⣴⠀⠋⣿ ⣿⣿⣿⣿⣿⠘⠇⣠⡟⣿⣿⣿⣿⣿⣿⣿⣿⠻⣜⣴⣋⠟⡿⣿⣿⣿⣿⣿⢿⡻⣉⣬⣶⠿⣿⣿⣿⣿⠻⡆⢸⡿⣿ ⣿⣿⣿⣿⣿⢰⣼⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢡⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡙⣦⣿⣿⣿⣿⢻⠈⣿⣿ ⣿⣿⣿⣿⣿⠀⢸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣧⣿⣿⣿⣿⢻⡌⣿ ⣿⣿⣿⣿⣿⠁⢸⣿⣿⣾⣿⣿⣿⣿⣿⣿⢰⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⣆⣿⣿⣿⣿⢿⣆ ⣿⣿⣿⣿⣿⡇⢸⣷⣿⣿⣿⣿⣿⣿⣿⣼⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢠⣮⣿⣿⣿⣼⠁ ⣿⣿⣿⣿⣸⡺⢰⡇⣷⣿⣿⣿⣾⣿⣴⢰⡄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢃⡿⠿⠌⠁⣬⠋⣿ ⣿⣿⣿⣿⢠⣾⣟⡄⣯⣿⣿⣿⣿⣿⣿⣿⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢁⣿⣿⣿⣿⣿⢁⣿⣿ ⣿⣿⣿⣾⡇⣾⣯⢻⣇⣿⣿⣿⣿⣿⣿⣾⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢃⣿⣿⣿⣿⣿⢰⡟⣿⣿ ⣿⣿⣿⢁⣿⣿⣾⣿⠨⣧⣿⣿⣿⣿⣾⢀⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢁⣿⣿⣿⣿⣿⣼⠏⣿⣿⣿ ⣿⣿⣸⡟⣿⡧⣾⣿⢘⠃⣆⣿⣿⣧⢀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢃⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿ ⣿⢸⢁⣿⢸⣿⣧⢯⢸⡆⢿⡌⣿⣌⠀⠀⠀⠀⡀⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢃⣿⣿⣿⣿⣿⣿⢰⡟⣿⣿⣿⣿ ⣿⢸⡇⢼⣹⣽⣞⡿⢸⡇⣿⢽⡙⣤⠀⠀⠀⠀⠀⠀⡀⣄⣦⣶⣿⣿⣿⣿⣾⢃⣿⣿⣿⣿⣿⣿⣾⡇⣿⣿⣿⣿⣿ ⣿⢸⡿⡇⢾⢭⣻⣿⢸⡇⣿⢾⣿⡘⣷⣿⠿⠿⠿⠿⠛⠛⠛⠛⠛⠛⠛⠚⠃⣿⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⣿⣿ ⣿⢁⢿⡼⠟⢟⣿⣿⢸⡏⣿⣺⣿⣿⡈⣿⢉⠉⢟⠛⡙⢋⢈⠐⢀⣿⣾⢡⡿⣿⣿⣿⣿⣿⣿⢰⡟⣿⣻⣿⣿⣿⣿ ⢸⡇⣿⠾⣿⣿⣿⣿⠀⣿⣿⣺⣿⣿⢾⡇⣿⣿⣿⣿⣿⣤⣿⣿⣿⣿⢁⡿⣿⣿⣿⣿⣿⣿⣴⡏⣿⣿⣿⣿⣿⣾⣿ ⢸⡇⣿⣿⣿⣿⣿⣿⠀⣿⣿⢹⣿⣼⢋⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⢠⣿⣿⣿⣿⣿⣿⣿⣴⠃⣿⣿⣿⡿⢽⣿⢾⣿ ⣿⡆⣿⣿⣿⣿⣿⣿⠘⣧⣿⣿⣴⠏⣿⣿⣿⣿⣿⣿⣾⠏⣿⣿⢸⡿⣿⣿⣿⣿⣿⣿⣿⠁⣿⣿⣿⣿⡿⣻⣿⣺⣿ ⣿⢸⣧⣿⣿⣿⣿⣿⢻⡆⣿⣡⡟⣿⣿⣿⣿⣿⣿⣾⢃⣿⣿⣿⠇⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣾⣿⣿⡷⢼⣿⣹⣿ ⣿⣿⡇⣿⣿⣿⣿⣿⣿⢸⢃⡿⣿⣿⣿⣿⣿⣿⣼⢏⣿⣿⣿⣸⡟⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣷⣿⣿⣯⣺⣿⢼⣿ ⣿⣿⠸⣷⣿⣿⣿⣿⣿⢻⣇⣿⣿⣿⣿⣿⣿⣱⠟⣿⣿⣿⣿⠁⣿⣿⣿⣿⣿⣿⣿⣿⡃⣝⣬⣷⣿⣿⣝⢸⣷⣺⣿ ⣿⣿⣿⡿⣿⣿⣿⣯⣿⣿⢹⣧⣿⣿⣿⣸⢃⣿⣿⣽⣿⣿⣸⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣺⢻⣧⣿⢸⣿⣷⣿⡮ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⣿⣿⢿⣏⣟⣿⢺ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⡆⣿⣿⣿⣿⡯⣿⣺ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣯⡟⢻⣧⣿⣿⣿⡎⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡟⣿⣿⣿⣿⣿⣿⣴⣋⡿⣿⣿⣿⣿⡘⣿⣿⣿⢻⣬⣷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣹⡟⣿⣿⣿⣿⣿⣿⣿⢽⣷⣿⣿⣿⣿⣿

⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⠻⣶⣤⡶⢾⡿⠁⠀⢠⣄⡀⢀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⣀⣼⠷⠀⠀⠁⢀⣿⠃⠀⠀⢀⣿⣿⣿⣇⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠴⣾⣯⣅⣀⠀⠀⠀⠈⢻⣦⡀⠒⠻⠿⣿⡿⠿⠓⠂⠀⠀⢂⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢻⡇⣤⣾⣿⣷⣿⣿⣤⠀⠀⣿⠁⠀⠀⠀⢀⣴⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⡿⠏⠀⢀⠀⠀⠿⣶⣤⣤⣤⣄⣀⣴⣿⡿⢻⣿⡆⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠁⠀⢀⣼⠀⠀⠀⠹⣿⣟⠿⠿⠿⡿⠋⠀⠘⣿⣇⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣶⣶⣿⣿⣇⣀⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠛⠿⣿⣦⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⠿⠋⠁⠀⣹⣿⠳⠀⠀⠀⠀⠀⠀⢀⣠⣽⣿⡿⠟⠃ ⠀⠀⠀⠈⠀⢰⠿⠛⠻⢿⡇⠀⠀⠀⣰⣿⠏⠀⠀⢀⠀⠀⠁⣾⣿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⣰⣿⣿⣾⣿⠿⢿⣷⣀⢀⣿⡇⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠋⠉⠁⠀⠀⠀⠀⠙⢿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀ 𐙚 -`♡´-˙✧˖°📷 ༘ ⋆｡˚˙✧˖°📷 ༘ ⋆｡˚˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆˚‧｡⋆🌻⋆｡‧˚⛷🧚‍♀️🛖

�🢦🝆🍑�tew lla uoy teg dna flesym yojne ot teg I dna naom uoy fo lla erehw emosevif a otni snrut ,hcihw emosruof a ni yssup dna stit slrig rehtona gnikcuf ,dna stit 'slrig rehto eht gnikcus dna ,ssa ruoy gnikcams yojne I dna kcid eguh ym gnikcus yojne uoy elihw emoseerht a evah ew ,dna lrig rehtona kcip I nehw gninrom lit pots non niaga dna niaga taht od I nehT .gninaom ylsselpleh ereht dnats uoy sa stit ruoy gnikcuf ot kcab og I neht stit ruoy revo lla muc I neht dna muc dna muc uoy litnu taht od I oS "��HHHA !YDDAD YM FO EDISNI YAW EHT LLA KCID RUOY TUP !REDRAH" ;naom dna maercs ot trats uoy drah os stit ruoy ezeeuqs I nehT .niaga naom uoy gnikam toof ym htiw ti gnibbur erofeb semit wef a skeehc ssa ruoy pals I os gninaom no peek uoY .syawedis uoy fo tuo lleh eht gnikcuf trats dna deb eht otno uoy worht dna riah ruoy barg I .etatiseh neve tnod I ,muc htiw derevoc erew taht stit ruoy ees I sa noos sa dna pu teg htob eW .uoy revo lla muc em gnikam ecaf ym revo lla gnitriuqs trats uoy nehT .yssup ruoy fo tuo gnippird strats muc sa deye-ssorc og ot trats uoY .enoyreve pu ekaw tsomla uoy taht ylduol os naom uoy sa yssup ruoy pu yot xes eht evohs neht I .steehs deb eht pirg uoy sa htuom ruoy ni muc ot trats I ylnedduS .kcid ym detaorht peed tsuj dah ehs sa denaom I ,ti debbarg I sA .kcid ym gnikcus ysub llits saw ehs sa ti debbarg I .ot erapmoc dluoc kcid ym neve ton hcihw gnol sehcni 03 tsaelta saw tI .nirg I dna yot xes reh ees I nehT .yssup reh kcil I nehw ylduol snaom neht kcid ym no gnikcus strats ehS .em no gnittis ssa yxes reh htiw em revo syal ehs sa nwod yal I .pu sdnats ehs sa ssa reh pals I nehT .yssem steg ti sa ot snaom ehs hcihw yssup reh edisni muc ot trats I nehT .t'nac ti hguoht neve reh otni rehtruf teg ot kcid ym teg ot thgim ym lla htiw hsup I dna tseuqer reh wollof I "!REDRAH OG DNA EM KCUF !YSSUP YM NI MUC !YDDAD EM NI MUC" ;smaercs ehs hcihw ot ssa reh kcams I .lrigwoc esrever a no reh edir I sa em otno reh hsup I .muc ot tuoba flesym leef I dna spil ym tsniaga snaorg ehS .reh gnissik yb pu reh tuhs I hcihw ot sa ylduol niaga snaom ehS .stit reh ezeeuqs I sa nwod dna pu kcab lla ti hsup I .ssa reh ezeeuqs I dna yssup reh edisni kcab kcid em evohs I sa reve neht no denrut erom m'I .kcid ym fo mottob eht otno gnimmuc si ehs litnu stit reh kcuf I .talf t'nsaw yletinifed ehs ,kceh ,ekacnap talf a naht regral erew taht stit suomrone reh neewteb kcid ym evohs em gnikam ,ylpeed snaom ehs dna ssa taf gib reh kcams I .sehtolc reh nepo pir dna deb eht otni reh hsup I nehT .no erom neve em snrut ti taht ylduol os snaom ehs dna yssup reh edisni peed saw kcid eguh sehcni 8 elohw ym litnu redrah dna redrah og I ,dias taht htiw dna '��yddaD-D' ;tuo spils drow eno sa gnilbmert em ta pu skool neht pil reh setib dna reduol neve snaom ehS .yssup reh edisni peed yrev muc I dna no denrut m'i dna ��snaom ehs ,nwod repeed dna redrah og i sa llaw eht no em skcuf ehS ~�🨫🝆�tumS

⠀⠀⠄⠀⠀⠂⠀⠀⠀⡀⠀⠀ ⠁⠀⠀⣠⣶⣿⣷⣶⣄⠀⠀⠁ ⠈⠀⢰⡿⠛⢿⡿⠻⣿⡆⠀⡀ ⠀⠠⣾⡇⠀⢸⡇⠀⢸⣧⠀⠀ ⠀⠀⣿⣷⣤⣿⣷⣤⣿⣿⠀⠀ ⠠⠀⣿⣿⣿⣿⣿⣿⣿⣿⠀⡀ ⠄⡀⠙⠟⢿⣿⡿⠿⠿⠋⠀⠀

⠀⠀⠀⠀⠀⠀⠠⡀⠐⡧⢀⠀⠀⠋⣯⣸⢃⡠⠘⢡⡐⠣⣁⠢⢅⠂⢠⠘⡡⠄⡁⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⠌⠀⠡⢊⠡⢆⡉⠒⢠⡘⠤⠘⠥⢊⡡⢇⡡⣿⣿⣭⠖⡉⠤⠌⠒⢈⡰⠆⠛⢅⠣⢈⡱⠂⢁⠠⠁⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⡐⠄⠂⢁⠠⠆⡈⡑⠤⠐⢣⡄⠑⢢⡌⠓⣄⡻⣷⣀⢀⠀⠀⠀⠀⠀⠀⢸⡈⠁⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢈⠇⣸⠉⠀⠟⣼⢪⡁⠰⢌⡑⠆⡈⠰⠘⢡⠢⢁⢂⠄⠂⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⠰⠌⡑⠦⢋⡾⣰⠎⢁⡚⠑⠤⢊⡑⠢⣿⣿⢼⡸⠘⢣⡄⠐⣷⡙⢃⡤⢿⠻⠜⠢⢉⠢⡀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡐⠄⠂⡁⠄⠈⠰⣉⡐⢊⡡⠐⢣⡄⠘⢣⡄⣯⢫⠉⠉⠒⠶⠀⠀⠀⢺⠁⠀⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠀⠐⡇⢸⠀⡟⡴⣘⠐⢣⡄⠌⡒⠃⢄⡐⠌⠡⢄⠁⠠⢀⠈⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠂⣁⠆⡉⡱⢿⣣⣬⠖⢃⣿⢡⡐⠨⢑⠤⡟⣿⣿⣹⢿⡐⠌⡐⠣⣀⣷⠼⠣⢅⣎⣧⢿⠘⠰⢈⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⠀⠠⠌⠂⠌⡂⠐⢊⡡⠐⢣⡄⠘⢢⠑⣧⣞⠈⠀⠀⠀⠀⠀⣺⠀⠐⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⡿⠁⡼⣸⢣⡄⡌⠘⢣⡄⠘⢣⡁⢄⠒⢁⡀⠐⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠌⠣⣍⡖⡹⢲⢣⢆⣉⡿⢳⡠⠜⢂⡑⠣⣾⣟⣿⢮⣿⣳⠐⣂⠄⡘⢆⣿⢊⡡⠜⢢⡕⣧⢟⡈⠑⠠⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⠁⢂⠁⢠⡔⠂⢈⡰⠑⢢⡑⢃⡠⠜⡌⣞⠘⠀⠀⠀⠀⢼⢈⠂⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⠠⣿⡽⢊⡑⠢⣐⠜⡈⠱⢆⡈⠑⠤⡈⠄⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡌⠳⢣⣬⡘⡱⢒⣌⠓⣼⢫⢄⡘⢆⠃⣴⢿⣚⣿⢧⣟⠿⡹⠟⢋⡑⢎⡇⢻⢢⡑⢆⡈⠰⣜⣿⠜⠣⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠡⡀⠘⢠⠌⡡⠐⢢⡐⠘⢣⠔⢊⠤⣎⠘⠀⠀⠀⣼⠂⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠈⢃⣿⠒⢌⠪⣑⡖⠊⢆⡈⠔⢃⠡⢄⠈⢁⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠑⠦⣉⠴⢣⡄⠎⡀⠱⢆⡏⣴⠛⣞⠿⢡⡿⠦⣿⢖⣿⣧⢹⡏⣹⣼⣿⣮⠿⢢⢿⡰⠘⢡⡌⠆⠃⢀⣦⠱⡔⠈⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⠈⢅⠂⢠⡑⢆⡂⠑⢡⠦⢉⣒⠌⣧⠈⠀⠀⣼⠈⠠⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠈⡇⢺⠱⢎⢎⡡⠴⢋⢡⢌⡠⠘⠡⠄⠈⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⢂⠡⢆⡈⡔⠃⢀⠰⣉⡐⠡⣾⣟⣹⢩⣿⣶⣏⣿⣵⣻⣕⣽⣿⠣⣧⡚⣎⣹⡜⣷⣞⢽⡈⠠⠐⢡⠠⡘⢆⡈⠥⡈⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠄⠈⠠⢐⠢⢂⢡⡐⠩⢢⡙⠦⢊⣑⢧⠈⠀⣿⠁⠄⡀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠄⡇⢜⡣⠜⢣⣘⡬⠜⠢⡑⢌⠌⠁⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⠠⢌⠡⢊⢁⠤⢈⡐⠌⠂⡀⡟⣿⣾⣙⡟⣲⢌⣿⢳⡱⢾⡑⡦⣿⢢⡄⢻⢁⣦⡜⡂⣷⣿⠘⢀⡀⠈⠠⠌⠂⡁⠠⠌⡐⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠄⠂⢀⡐⢉⠤⢊⡡⠒⢍⠣⢢⢝⡡⠱⢧⠈⣾⠁⠠⡀⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠡⢂⡇⣳⢇⡎⢋⡱⢎⡑⢠⠱⠆⠁⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⠡⢂⡁⠠⠄⠀⠠⠐⠄⠀⢀⠏⣿⣲⢌⠣⣼⠡⢇⣾⡱⠲⣾⡋⢀⣷⠼⠀⣇⠸⠀⣧⢊⡀⣷⢿⠸⠀⠀⠀⠀⠄⠀⠠⠄⡈⠄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⡈⠄⠂⠡⢄⠣⡄⠓⢡⢮⡑⡰⡹⠆⢯⢺⠀⡐⠀⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⠈⠠⡿⢩⢳⢦⠞⡩⠵⣈⠥⡂⠁⠠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠠⠈⠄⡀⠀⠀⠀⠀⠀⠃⣿⣸⠐⠁⡼⢀⠀⡏⣽⢯⡿⢦⠋⣛⡙⢻⠀⠀⢷⡀⠀⢧⠌⡀⣟⢿⢼⠉⠀⠀⠀⠀⡀⠀⠄⡈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠠⢁⠠⡔⠊⣄⠚⣩⠖⣡⡼⡚⢭⡗⢢⢁⠠⠄⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠁⢠⣿⡎⡕⣮⠋⢰⡜⡌⠐⢠⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⡄⠀⠀⠀⠀⠀⠀⠋⠐⠁⣿⣾⠀⠀⡟⢠⠀⠀⣿⢻⡜⢫⣿⣶⢸⡟⣿⠀⠀⡆⢸⠀⡄⢹⠀⡄⣾⢹⡄⢣⠈⠀⠀⠀⠀⠀⠀⠁⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡄⠀⡔⠂⠂⢡⠒⢡⣴⢻⡇⢩⣼⡟⢲⠁⡄⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢁⠠⠔⣻⣜⡳⢎⢩⡴⠎⡁⡐⢀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢀⠀⠀⠀⠁⠖⣠⠀⠁⡿⣰⢀⠀⠇⢰⠀⠀⡏⣿⢿⣿⣰⢀⡏⣬⣽⣿⣿⠀⠀⣆⠘⠀⡀⠳⠀⠀⣄⠱⠀⢧⠈⠢⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠂⢀⢨⡑⠦⣉⡴⠞⣩⠷⣇⡿⢈⠠⡐⠀⠌⠀⠀⠀ ⠀⠀⠀⠄⠀⠠⡘⠇⣾⡜⢫⢧⣘⡬⠑⡠⠐⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠔⢀⠀⠀⠃⣿⣠⠀⠀⠏⣠⠀⠀⠃⣷⣿⣾⢠⠀⠟⣽⢿⠙⣀⡤⢳⠀⠀⣇⠈⠀⡀⢧⠈⠈⡀⢳⡈⢸⠀⡀⢢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⢂⡐⠡⢌⠣⣢⢝⣣⡹⣶⢹⢠⡐⠂⠄⠁⠀⠀⠀ ⠀⠀⠀⠂⢀⠡⠌⡇⣞⡝⢫⢦⡝⢂⡡⠄⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠖⣀⠀⠀⠀⠟⣴⢀⠀⠁⡞⢠⠀⠀⠃⣿⣿⣴⢀⠀⡟⢼⣀⠀⡀⠣⠈⡄⢹⠀⠀⢧⠀⠀⠀⢧⡀⠢⠙⢦⢸⠀⠀⠀⡀⢢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠂⢀⡈⠰⠘⢣⣆⡛⢧⡹⣷⣺⡐⠈⢂⠀⠠⠀⠀⠀ ⠀⠀⠀⠐⢈⠠⠘⣇⡵⠯⣘⢼⡙⠤⢈⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠴⢀⠀⠀⠀⠃⡴⢀⠀⠀⠎⡠⠀⠀⠀⡏⣿⣴⢠⠀⠁⡟⢴⢀⠀⠀⠀⠀⢆⠘⡆⠘⠀⡀⢱⡀⢄⠤⢰⠀⡀⢦⣇⠈⠀⠀⠀⠀⣄⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢁⠠⡌⠑⢦⡙⢧⡹⣿⢄⠨⠐⢂⠄⡁⠀⠀⠀ ⠀⠀⠠⠀⠄⢂⠌⡇⣹⠷⣎⡜⠑⢨⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡴⢀⠀⠀⠀⠀⠞⢠⠀⠀⢀⡽⢉⠊⠐⠀⠏⣥⣼⠀⠀⠋⡾⢀⠀⠀⠀⠀⠀⠀⠀⡄⠱⢦⠈⠀⡀⢢⠈⠀⠀⠀⠀⠀⠀⢇⠈⠀⠀⠀⠀⠀⢄⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⠌⢁⠰⢎⣃⡼⡟⣾⢨⠄⠈⢂⠀⠠⠀⠀⠀ ⠀⠀⠀⠠⢂⠡⢂⡇⡽⡳⢗⣈⠱⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣠⠀⠀⠀⠀⠀⠃⡴⠀⠀⠁⠚⠄⣠⢀⠀⠁⠟⢠⡇⢀⠀⠏⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡢⠹⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⢧⠈⠀⠀⠀⠀⠀⠀⢄⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⡉⠃⢄⠳⣌⡿⢸⠂⢁⠂⢀⠄⡈⠀⠀⠀ ⠀⠀⠄⠈⢡⠂⢂⡇⣽⡺⢳⡌⠐⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣠⠀⠀⠀⠀⠀⠁⠞⢠⠀⠀⠀⣠⠀⠀⠀⠀⠞⡠⠀⠀⡤⠉⠒⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⢷⠈⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠂⠐⡨⠖⣋⣿⢀⠄⠀⠐⢂⠀⠐⡀⠀⠀ ⠀⠀⢁⠀⠐⠡⢈⠡⣿⡝⢢⢑⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣠⠀⠀⠀⠀⠀⠀⠋⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠥⠊⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠑⠀⠀⠀⠀⠀⠀⠀⡄⣷⠘⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢂⠠⡔⠃⢧⣿⠀⠐⡀⠀⢈⠐⡀⠁⠀⠀ ⠀⠀⠀⠂⠄⠀⠠⠐⣿⡱⣜⠁⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠜⣠⠀⠀⠀⠀⠀⠀⠁⡿⣽⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠔⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠙⠀⠀⠀⠀⠀⠀⡄⣷⠹⠀⠀⠀⠀⠀⠀⠀⠀⡀⠣⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠂⣀⠘⣧⣸⠀⠀⠂⢀⠁⠂⢀⠂⠀⠀ ⠀⠀⠀⢀⠀⡐⠄⠀⣿⣹⡔⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⢠⠀⠀⠀⠀⠀⠀⠁⠟⣩⠮⣴⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⠀⠀⠀⠀⣀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠈⢂⡐⣏⢸⠀⢐⠀⠀⠠⠀⠐⢁⠀⠀ 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⠀⠀⠀⠀⠏⣭⣉⢛⠛⠛⠚⠛⠛⠛⠉⣉⣀⣄⢤⠶⠳⡟⣿⢛⡾⣴⣭⣩⣚⠐⠀⠀⠀⠀⠀⠀⠀⠀⠒⡒⣙⣭⡮⣶⢿⡛⣟⠘⠀⠀ ⠀⠀⠀⠃⣼⣀⠀⠉⠉⠉⠉⠉⠉⠀⠀⣀⣄⣤⠶⠓⠛⣟⣿⢛⡶⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⢦⡳⣿⢸⠀⠀ ⠀⠀⠀⡏⠾⡤⣀⢀⠀⠀⠀⠀⡀⣀⣀⣀⢄⠤⠲⠓⠟⣿⣰⠀⠀⠀⠉⠉⠉⠚⠒⠒⠒⠒⠒⠒⠒⠁⠉⠉⠀⠀⠀⠀⠀⡀⣴⢹⠀⠀ ⠀⠀⠃⣶⢀⠀⠁⠉⠛⠛⠛⠛⠙⠉⠉⠀⠀⠀⠀⠁⣻⣾⢋⠞⡤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⠤⠶⠓⠉⠈⣇⠀⠀ ⠀⠀⡏⠾⡤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⢤⠦⠓⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣆⡿⠀⠀ ⠀⠃⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠘⠀ ⠀⡼⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣸⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢻⡾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⡏⢸⠁ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡟⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⣿⣿⣼⢀ ⣇⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡽⢟⣿⣿⠘⠀ ⠂⣿⠐⠀⠀⠀⠀⠀⠀⠀⠁⠟⡿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠟⡿⣾⣿⣿⣿⣿⠀⠀ ⠀⣷⢻⠙⠉⠉⠋⠛⠟⡦⣶⣧⣾⣿⣴⣿⣿⣿⢶⠻⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠋⠛⠿⡾⣴⣤⣀⢁⠿⣿⣷⣿⣿⠀⠀ ⠀⠀⣄⣷⣬⣠⣀⠀⠀⠀⠀⡀⠀⣠⠀⡆⣿⣿⠀⠁⡀⣄⣦⢶⠷⠶⠶⠼⠦⠶⠶⢶⣷⣽⣭⣉⣍⢉⠉⠉⠋⠿⡴⣠⠀⡇⣿⣿⢸⠀ ⠀⠀⠀⡀⢦⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠶⣤⣠⣤⣀⣀⣄⣄⣤⣦⣿⠸⠀⠄⣠⣧⣼⢿⠀ ⠀⠀⠀⠀⠀⡀⣳⢮⠙⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⠈⠀⠀⠀⠀⠀⠉⠋⠞⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⠨⠀⠀⡇⢻⣿⢸ ⠀⠀⠀⠀⠀⠀⠀⣄⡳⣮⠳⠉⠀⠀⠀⠀⠀⣶⣿⢿⠙⠀⠀⠀⠆⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢷⠈⠁⠋⣿⣼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢦⣗⣯⠿⠈⠀⠀⠀⣄⣷⣿⢿⠈⠀⠀⣧⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢻⡿⣴⣇⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣦⣷⠿⠛⠉⠂⣴⣷⣿⢿⠙⡆⣿⢻⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⡿⣾⢀⠋⣿⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣷⢿⠿⠻⣿⣿⣿⢻⣟⣿⣿⠿⠛⠈⠀⠀⠀⠀⠀⠁⠉⠛⠿⣾⣴⣡⠟⡿⣿⣿⠐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⣿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣶⣶⣶⠶⡴⣤⣠⢀⠀⠉⡟⣿⣿⣿⣸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⠷⠛⠒⠒⠗⠿⡿⣾⣶⣿⣿⣿⣿⣼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣇⢻⡟⣸⣷⣿⣿⣿⣿⣿⣛⢉⠉⠉⠿⠿⠛⠛⠞⠶⡴⣤⣠⣿⣿⣷⢠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢠⣀⣄⡦⣷⣟⢻⣿⢨⡀⢀⠀⠀⡀⠀⠀⠀⠁⠋⠛⠶⣤⣀⠀⡇⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢰⠀⠀⠀⠀⠀⠀⣇⣸⣀⣤⢤⠤⣤⣤⣠⣀⣀⣀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠈ ⠀⠉⠉⠉⠛⠟⠿⣿⣿⣿⣿⢿⠈⠀⠀⠀⠀⠀⠀⠀⠇⣸⠀⠀ ⡀⣄⣦⣿⣿⣴⣤⣧⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⡿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠋⠛⠿⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣾⣶⣶⣿⣿⣿⣿⣿⣿⣿⠸⠀ ⠀⠀⠀⠀⠀⠀⠀⡟⣿⣿⣿⣼⠀⠀⠀⠀⣀⣦⣶⣷⣿⣿⢻⠈ ⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⣦⣶⣶⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣷⣿⠿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⠸⡿⣿⣿⣿⣿⣿⢻⠛⣿⣽⣿⣿⣶⣊⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣾⣿⣿⣿⣿⣿⣼⣿⢮⡝⢢⠘⠀⠀⠀⣀⣤⡳⣿⡟⣿⣿⣿⣿⠻⡇ ⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣶⣿⣿⣵⢣⢌⠲⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠂⠁⠁⠰⠌⠒⣉⠛⠖⠞⠶⠦⠴⠶⠶⠒⠙⣿⣾⡇⣿⣿⣿⣿⣿⡿⢞⣣⠜⢣⠐⠀⠀⠀⠀⠀⠀⡀⣳⣧⣿⣿⣿⣿⢟ ⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠅⣿⢋⣿⣹⡬⠳⡍⢋⢡⠐⠈⠀⠁⠀⠒⢌⠢⡙⠦⡘⠱⣛⡶⣌⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢮⡷⣿⣿⣿⣼⣏⢳⣣⢖⡌⢓⠤⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⢾⣿⣿ ⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡈⣿⣿⣿⠷⣮⠿⠾⠻⣙⡬⠛⢅⠢⣙⠦⣋⢇⡆⡝⡟⣤⢊⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣄⣿⣿⠻⣽⡣⢌⡱⢆⠻⣁⠰⠈⠀⠀⠀⠀⠀⠀⡀⡦⣿⣽⣿⣿ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣋⣡⡔⠢⢄⠢⡄⡑⣦⣎⠷⣛⠴⡙⢣⢜⡹⢾⣹⠣⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⡔⠪⣑⠢⢀⣄⠹⠤⠉⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿ ⠀⠀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⡘⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⡜⣯⡜⠮⡝⡟⢴⡑⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣻⡅⢌⡘⠀⠀⠀⡀⢦⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿ ⠀⢁⣿⣿⣴⠀⣆⣿⣿⣿⣿⡔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢃⣴⢎⡹⣾⡘⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢢⡌⠐⠀⠀⠀⠀⠀⡀⠷⠛⠈⠀⠀⠀⠀⠋⠶⠻⣟⡿ ⠀⡇⣿⢰⠀⠀⠀⡇⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⢫⣧⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠂⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⢹⠀⠀⠀⠀⠀⣧⢸⣿ ⠀⡇⣼⠀⠀⠀⠀⡇⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡡⢜⣯⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⡇⠰⢀⠀⠀⠀⠀⠀⠀⠀⡏⣿⣿⣾⢿⠙⠉⠉⠏⣽⢸⡍ ⠀⡆⢸⠈⠀⠀⠀⠀⣸⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡒⣝⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣫⣾⣴⢀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣾⣟⣽⢿⣶⣶⣿⣾⣼ ⠀⠀⢢⢄⠈⠀⠀⠀⢱⠠⢄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⡖⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢸⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣽⣿⣸⠀⠀⠀⠀⠖⢀ ⠀⠀⠀⢄⡙⠡⠀⠀⡄⡽⣦⣟⢭⠺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡙⣷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣤⣿⠀⠀⠃⣾⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣧⣿⣻⣿⢸⠀⠀⠁⠞⠀⠀ ⠀⠀⠀⠀⡀⢦⢝⠑⠀⡄⢿⠹⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠹⠀⠃⣿⢠⠀⠀⠀⠀⠀⠀⠀⠊⡿⣿⣿⡟⣿⣿⣽⡟⣿⡽⣿⢺⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣤⢳⠙⡄⣿⡘⣄⢕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢷⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠞⢡⡘⠁⡗⣹⠠⠀⠀⠀⠁⠋⠞⡠⠁⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⣼⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣦⡿⣿⠹⠀⣧⠻⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⡿⣽⢚⡠⠀⠀⣿⠒⢡⠛⠿⣾⣴⣀⠀⠀⡇⣿⣿⣿⣿⣿⣾⣿⢯⣿⣠⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠉⠈⠀⠀⠀⠀⣄⣷⣿⢿⠙⣿⣿⣿⠿⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠁⠛⡿⣿⣿⣼⣉⠔⢀⠀⠇⣯⡟⣾⣤⣀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⢁⣿⣿⢰⠀⠀⠁⠋⠴ ⠀⠀⠃⡿⣼⣠⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣧⣿⢿⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣛⡿⣿⣿⣾⣿⣾⣠⠀⠀⠉⠛⡿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⢱⡻⣿⣼⠀⠋⡼⣜⠃⢠ ⠀⠀⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣾⣿⣾⣟⣿⢿⠾⠷⠿⠿⠚⠑⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⡿⣸⡇⣿⢘⠀⠟⣁⣟⣿⣠⣶⢻⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⡿⣿⣴⠁⠞⢎⠡⢖⣠⠀ ⠀⠇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡸⣿⣿⣿⣿⢿⣷⣌⠳⣇⠸⣆⠙⣆⣿⣿⡟⠁⠀⠀⠌⠀⠈⠀⠀⠃⣿⣿⢿⡟⣿⢻⠇⣿⣿⣿⣸⠀⠀⡀⢳⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⢉⠛⡦⠉⣄⣠⠀⠀⠉ ⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢸⣇⣿⣿⣾⣜⡩⢄⠠⡀⢷⠀⣧⠹⣧⣿⣼⠒⡉⢆⠁⢢⠄⠘⢃⠈⣦⣷⣙⣦⣷⣿⢿⣿⣿⣿⢸⠈⠀⠀⡀⠸⠀⠀⠀⠀⠀⠄⡿⣿⣿⣿⣿⣿⣿⢠⠀⠀⣀⠡⠛⡿⣰ ⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢼⡇⣾⣱⢌⠠⠀⠀⠀⠀⡀⠀⡅⣿⡽⣿⣸⠞⡁⠴⢋⡾⢌⠱⢢⣜⢧⠶⣛⣿⠿⣛⣿⣿⣿⣿⢸⣀⠢⠈⠀⣇⠘⠀⠀⠀⠀⠇⣿⣿⣽⡿⣿⣾⢠⠀⠀⠋⠾⣯⣼⢀⠃ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣽⣐⠠⠀⠀⠀⠀⠀⠀⠀⠄⠈⣿⣿⣿⢖⡉⢻⡷⣼⢣⣌⡛⠛⣂⢘⡱⠜⢃⡨⣕⣦⣿⣿⣿⣿⠹⠌⠁⠞⣠⣆⠻⠈⠀⠋⣿⣿⣿⣟⣯⣾⢙⠀⠋⣾⣫⡾⣠⠀⠃⣼ ⠀⠀⣇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⢢⣐⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢌⣿⣿⣽⠟⣶⣎⡙⢔⡹⢆⣹⣭⠳⢌⡙⢌⡱⢎⡵⠶⣛⣿⣿⣿⣿⢿⡿⢛⠉⠉⣍⢿⠿⣿⣿⣿⣻⣿⣷⢿⣯⠟⣴⢋⣾⢀⠀⠊⡾⢠ ⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠋⡼⡰⢀⠀⠀⠋⠉⠀⠀⠀⠁⡟⣼⠳⣏⣿⣿⣿⣏⢻⢽⡎⡝⡚⢍⣇⠻⢊⣑⡑⢦⢻⡔⡚⡍⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⡿⣟⣸⡄⣻⢿⡾⣠⠀⠁⡗⢾⢀⠀ ⠀⠀⠀⠀⢢⠈⠀⠀⠀⠀⠀⠞⣳⣀⠀⠀⠃⡴⣠⣀⣀⠲⠀⡱⣿⣟⡿⣿⣿⣿⣿⣿⣿⡇⢿⣿⠞⣉⠿⣿⢌⡱⡌⠣⣆⣷⠏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⢀⠃⣟⣽⢸⠁⠞⣻⣴⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⠈⠀⠀⠁⡾⣜⠠⠀⠀⠏⣠⠀⠁⠛⠙⠈⠁⡿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⣿⣿⣿⣿⢣⣅⠫⣒⢒⣲⡝⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣾⡼⠁⣿⣠⣳⢳⡻⣾⣠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⢿⠀⠃⣳⣔⠀⠀⠀⠆⢀⠁⡾⣤⣀⣁⣅⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡏⣿⣿⣿⣼⣙⠾⣠⠀⠀⠀⠀⠀⣀⣤⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣟⣽⢻⣿⢠⠀⡇⣯⣴⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣧⠻⣲⡰⠀⠀⠀⠀⠀⠁⣴⠀⠀⠃⡣⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣿⢻⢿⣰⠀⠀⠀⠖⣿⢶⠐⠀⠀⠐⠒⠒⣗⣷⣿⣿⣿⣿⣿⣿⣿⣿⣯⣾⣟⡽⣿⢰⠀⠃⢿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⣳⣠⠀⠀⠀⠀⠀⠁⣴⠀⠀⠃⣼⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣬⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣸⠀⠃⣿⢠⣸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡟⢤⠀⠀⠀⠀⠀⠀⡼⠀⠀⠁⡿⢸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⡿⢤⠀⠀⠀⠢⠙⠈⠈⣆⠐⠀⠀⠀⠄⢄⠠⣦⣿⣿⣿⣿⣿⣿⣿⢯⣿⣿⢀⠀⡿⢠⠃⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠏⣱⢀⠀⠀⠀⠀⠀⠇⢰⠀⠃⣿⣿⠃⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢡⠀⠁⠀⠀⠄⡧⣿⡻⢪⠙⠀⠁⠟⣵⣫⣙⣬⡿⣿⣿⣿⣿⣿⣿⢿⣿⣿⠀⡏⣼⠀⡟⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⣼⠨⠀⠀⠀⠀⠀⠀⡿⠀⠏⣧⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣵⠪⡐⠡⠠⠀⠂⣓⣏⣿⣿⣿⢿⡙⣶⣿⣿⡿⣿⣿⣾⣷⣿⣿⣿⣿⡷⣿⣿⠃⣿⢀⡏⣸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡝⢦⠀⠀⠀⠀⠀⠄⡇⢸⠁⢰⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡱⢟⡾⣥⣩⣘⢀⠟⡷⣿⣿⣿⣿⣿⢿⣛⣦⣿⣿⢿⠿⢾⣿⣿⣿⣷⣯⣿⡾⣿⣸⠏⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⣹⠤⠀⠀⠀⠀⠀⠐⣿⢠⡇⠴⣮⣣⣑⡿⣻⣟⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣾⡝⣯⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣧⣿⣿⣽⣿⡟⣿⣿⣯⣿⣿⣽⣿⠏⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠣⢀⠀⠀⠀⠀⠀⡇⣼⠀⣿⡁⠜⢣⡿⣶⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣦⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣯⢻⣿⣿⣟⣿⣿⣻⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣹⠒⢈⠀⠀⠀⠀⠀⣿⢸⠏⢠⢢⡑⣿⢳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣿⣿⣿⣿⣿⣿⣿⣿⠿⣬⣧⣿⣿⣾⣟⣿⣿⣿⣯⣿⣷⣿⣾⣿⣯⣟⣿⣾⡽⣿⣿⢿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣻⠸⢃⠀⠀⠀⠀⠇⣿⢸⢀⡘⢃⡿⣿⣿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⣼⡿⣿⣧⣼⣿⢧⣸⣿⣿⣟⣿⣿⣟⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢾⡌⡘⠀⠀⠀⠀⡿⣿⢀⠌⠡⡟⣿⣿⣾⣬⡛⣿⣶⣤⣢⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣻⢿⣽⣳⣿⣽⢞⣯⡳⣾⣟⢣⣿⣿⢷⣯⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⢆⡘⢀⠀⠉⡽⣿⢸⠡⢋⡿⢫⣿⣾⢶⣤⣀⠀⠀⠀⠀⡀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣿⣿⣽⣻⢯⡽⡺⢿⣾⢏⣿⣹⢿⣷⣟⣿⣹⡾⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⠶⠖⠤⣤⣤⣤⣤⣤⣠⣀⣄⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣟⢿⣿⡿⣿⢿⣯⡽⢾⣯⣟⢯⣽⢾⣿⡽⣻⣿⣽⢮⡿⣟⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡽⣿⣟⣯⣿⣿⣽⣻⢷⣻⣽⢿⣹⢿⣳⣽⣾⣟⣾⣟⣳⣟⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣸⣗⣿⣿⣿⣿⡿⣿⣞⣻⣽⣿⣻⣿⣷⣻⣿⣿⣽⣻⣽⡿⣏⡿⣏⡽⣻⡷⣼⢻⣾⣽⡿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣊⠰⢀⠀⠀⠀⠀⢀⠠⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣼⣦⠀⣀⣦⣿⣿⣿⣿⡽⣾⣿⣿⣽⢿⣾⣿⣿⡷⣞⡽⢾⣹⢿⣹⡿⢧⣳⣽⢯⣾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠐⠶⡠⣦⠐⣠⠉⡏⣶⣷⢿⣻⣿⢿⣿⣟⣿⣻⣿⣟⢯⣽⠿⣯⡝⣻⣯⡟⣻⠛⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠆⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣿⣟⢿⠸⠀⠠⠁⠟⠿⣿ ⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⢿⠛⠛⣿⣿⣿⣿ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣷⣿ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⢻⠛⣘ ⡸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣟⣿⣾⢴ ⢿⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣳⣉⢙⠉ ⣗⠻⠀⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⢄⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢹⠛⣿ ⠀⣿⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠀⡀⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿ ⣿⣹⠀⡎⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠄⠘⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣹ ⢺⣿⠻⢆⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⢧⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣦ ⠀⡄⣷⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠁⡆⠘⠀⣄⠝⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⠛ ⠀⣄⣤⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣾⠀⠸⢿⡟⠀⡀⢦⢍⠐⠈⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿ ⠀⠀⠀⡄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡳⢠⠀⡆⣡⢰⠀⠀⠀⡀⢤⠑⠀⠀⠀⠀⠀⠀⠀⡏⣿⢿ ⠀⠀⠀⠀⡀⢷⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡾⣠⠀⠀⠃⡼⠀⠀⠀⠀⠀⠀⠀⢄⠑⠀⠀⠀⠀⠏⣽⣃⣽ ⠀⠂⠀⠀⠂⡖⢷⢍⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⡶⡠⠀⠀⠀⠀⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠈⠉⡞⣿⣾⡶⣤ ⠀⠀⠈⠀⠀⠀⡀⡀⢤⠒⣋⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣀⠀⠀⠀⠀⠀⠀⠇⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⣨⠁⣨⠐⠀⠀ ⠀⠀⡀⣀⢄⠠⠀⠀⠀⠀⡀⢤⠢⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠟⣴⣴⣀⡀⣠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠠⠂⠒⠉⠉⠈⠀⠀⠀⠀⠀⠄⡤⠤⠀⠀⠀⠀⠀⠀⠀⠄⡤⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⡶⣶⡶⣶⠟⣴⠶⣦⣖⣦⣶⣶⣶⣠⣤⣆⣖⢤⠶⠰⠀⡆⣶⢰⡆⣶⣶⣶⣶⣶⣶⣶⡶⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠈⠀⠇⣿⣿⣿⣿⣭⣤⣥⣭⣿⣿⣿⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⣿⣾⣶⣤⣤⣀⣀⣤⣤⣶⣷⣿⣿⣿⢻⠈⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⢻⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⣾⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⣿⢻⣿⣿⣿⣿⣾⣶⣤⣤⣤⣦⣶⣶⣿⣿⣿⢿⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣷⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣏⣧⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠱⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠱⠀⠀⠀ ⠀⠀⠀⠀⠀⠎⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠈⠀⠀ ⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣸⡿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠈⠀ ⠀⠀⠀⠟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⢴⣦⣷⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀ ⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢈⠀⠀⠀⣄⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸ ⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠉⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣷⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⢀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡆⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠁⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠀⠀ ⠀⠀⠀⠀⠀⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡔⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠃⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣸⣶⣿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢰⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⢀⠀⠀⠀⠀⠀ ⠀⠋⠉⠞⠀⢺⠓⠀⡄⣷⣿⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡜⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠾⣠⠀⠀⠀⠀⠀⠀⠀ ⠀⣄⣿⠀⠀⣄⡴⠦⠒⠳⣄⣦⣿⢿⠻⠙⠉⠀⠀⠉⠉⠋⠛⡿⠻⠛⠛⠻⠉⠈⠀⠀⠀⠀⠀⠁⠋⠟⡾⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⡟⢿⠀⠛⠁⡈⠀⠧⣿⠈⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣤⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⣀⢀⠀⡏⢠⠀⢁⡟⣿⢹⠉⡰⠁⣟⡝⣿⣿⣿⣿⣿⠿⡿⣿⣿⣿⣿⣴⣁⠋⣰⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢦⠙⠋⡿⣾⣴⣀⣤⠁⠏⣿⣿⣿⡙⣿⣿⣿⣿⣿⣿⣿⣿⢸⠂⣴⢀⠀⠀⠀⠀⠿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⣼⣀⠀⠈⠀⠀⡿⣿⣿⣿⣿⣿⣿⡀⣿⣿⣿⣿⣿⣿⣿⠿⣼⠀⠀⠀⠀⡆⣶⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡜⣀⠀⡶⣵⠀⣇⣿⣿⣿⣿⣿⣿⣧⢸⣿⣼⢠⣿⣿⣿⣿⣿⢿⠶⠀⡇⠛⠀⠀⢉⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠃⢠⠀⠃⠈⠀⠀⣷⣿⣿⣿⣿⣸⣀⡀⠀⣸⠀⠀⣷⣿⣠⣿⣿⣼⠃⠖⣶⣱⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⠀⠖⣽⠀⠀⡀⣤⣽⣿⣿⢸⠀⠀⠀⠀⠀⠀⡏⢹⡿⣿⣼⠁⡛⠀⠀⣀⠂⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠉⠀⠀⠀⠀⠀⡀⣦⣶⣶⠻⠙⠁⠀⠋⠟⣶⣶⣴⣀⠂⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠓⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⣤⠁⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣄⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⣀⢦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠈⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣽⠀⠀⠀⠀⠀⡾⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣴⢦⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⠀⠀⠀⠀⡟⢠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠃⣾⠀⠀⣄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠃⣹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⢠⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⣧⠘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⣿⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣇⡼⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢼⠀⠀⠀⠀⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢹⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠃⢸⠀⠀⠀⠃⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣿⢿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⢰⠀⠀⠀⡿⠀⠀⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⣸⠀⠀⠀⠁⣸⠀⠀⠀⠀⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢠⠀⠀⠀⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠲⠀⠀⠀⠀⠀⠀⠄⠀⠀⣼⢽⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⣸⠀⠀⠀⠀⣿⠉⠋⠒⠒⠒⠓⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡏⢰⠀⠀⠁⠾⣠⢀⠀⠀⠀⠀⠀⠀⣀⠦⠙⠀⠀⠀⠀⠋⠖⡴⣀⣀⣀⣀⣀⢤⠳⠈⠀⠀ ⠀⠀⠀⠀⠀⣼⠀⠀⠃⣸⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⡀⢳⠀⠀⡄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠹⠀ ⠀⠀⠀⠀⡇⢰⠀⠀⡼⠀⠀⠈⠉⠀⣄⠀⠀⠀⠀⠀⠀⠀⡀⢻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠊⠐⠀⠀⡆⢹ ⠀⠀⠀⠀⣾⠀⠀⠀⢸⠀⠀⣶⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠿⠈⣿ ⠀⠀⠀⠏⢠⠀⠀⠀⢳⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⣴⢃⣼ ⠀⠀⠃⣰⠀⠀⠀⠀⡇⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡞⠀ ⠀⠀⣼⠀⠀⠀⠀⠀⠀⢷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣰⠀⠀ ⠀⡏⢀⠀⠀⠀⠀⠀⠀⡇⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣰⣇⠸⠀⠀ ⠛⣼⠀⠀⠀⠀⠀⠀⠀⡄⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⢀⠀⠀⢸⠀⠀ ⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⢀⠀⠀⠀⢹⢸⠀ ⣄⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣸⠀⠀ ⠀⡀⢢⠙⠀⠀⠀⠀⠀⠀⠉⠉⡉⣿⠛⠛⠒⠚⠒⠒⠴⠀⠓⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠋⡴⢀⠀⠀ ⠀⠀⠀⠀⣄⢾⠿⠛⠙⣀⢀⠀⡀⡀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣁⣟⢲⠚⠤⠿⡤⢀⠀⠀⠀⠀ ⠀⠀⠀⠉⡼⣟⣧⣧⣸⢄⠳⠉⠀⠀⣿⠀⠀⠀⠀⠀⠀⠁⠘⠁⠋⠟⡸⣀⢀⡞⢀⠏⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⠀⣹⢸⡇⢸⠀⣼⣅⠻⠃⣿⠀⠀⠀⠀⠀⠀⡟⠴⣀⡇⣮⢀⠋⡼⢀⠇⣠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⡇⣿⢀⡀⢸⠀⢸⡿⠀⣿⢰⠀⠀⠀⠀⠁⠛⣴⠤⠳⡍⢰⠇⣿⣧⠻⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⣻⣹⠀⠀⡇⠈⢿⣟⠀⣿⠀⠀⠁⠚⡴⣀⠀⠀⠀⠀⡀⣄⡳⢹⠀⣷⣄⠱⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⣿⠸⠀⡄⢹⡇⣈⠀⣹⠀⠆⣠⢀⠀⠀⠁⠉⠋⠒⠒⠀⠀⣀⠦⡟⠘⡀⢷⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣆⢿⠈⠀⡇⠘⢰⠇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡷⠈⠀⠀⡄⢻⠀⠀⢧⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣇⢸⠀⡀⢿⠁⡿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢹⠉⠙⠀⡄⠙⠀⠀⢳⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⠈⠀⡇⣱⣼⣆⠀⠀⠆⠇⠿⠿⠾⠀⠀⠀⠀⠀⡞⢿⡿⠳⠛⣏⠻⠀⡄⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⢹⠛⣽⠇⢸⠀⢻⠀⠾⡇⣿⢾⣷⠉⠙⠀⠀⠀⠀⣷⣿⠩⣛⣿⡆⢸⠀⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣹⡀⢻⢸⠀⡇⣼⢶⠟⡛⢿⠾⣶⣀⠀⠀⠀⠁⠉⠉⡉⣿⢿⡴⣇⠀⡇⠘⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⣶⠻⣿⢸⠀⣄⣷⠛⡉⣿⢀⠁⠉⠛⢾⢠⠀⠀⡀⣏⣿⣼⢠⠀⡇⢸⡇⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡗⠀⡀⣄⢻⠀⠀⡀⢧⡇⣿⣄⣤⣠⣀⠀⠀⠀⠃⠞⣣⣼⠀⠀⠀⡇⢠⡏⣼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⠀⠀⣇⠀⠀⠀⡀⣧⣿⠘⠀⠀⠀⠁⠋⡴⣡⠞⣠⠀⠀⠀⠁⡼⠃⣼⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⢹⠀⠀⠀⠀⠀⠀⠀⠀⡆⢷⠊⠶⡴⣀⠉⠖⣠⠀⠀⠀⠀⠀⡶⢣⡼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠳⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠚⡤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣄⠤⠤⠶⠶⠶⠤⣠⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠹⠀⠀⠀⠀⠀⠀⠀⢧⠁⠞⣡⠙⠉⠈⠡⠉⡀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⠀⠀⠀⠀⠀⠀⡇⣸⠜⢀⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⢀⠀⠀⠀⠀⠀⠀⡇⣸⢀⠀⠀⠀⠀⠀⠀⠷⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡴⢀⠀⠀⠀⠀⠀⠀⠀⣾⢧⣌⠤⠚⠀⠀⠀⠀⡆⡇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⣠⠀⠀⠀⠀⠀⠀⠀⠀⠇⢰⠀⢻⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⣿⠀⠀⠀⠀⠀⠆⠃⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠃⡼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢰⣸⠁⠞⣨⠀⠀⠀⠀⠀⡇⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⢁⠀⠀⠀⠀⠀⠀⢣⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡇⢹⡸⡏⢀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠀⠀⠀⠀⠀⠀⡋⡿⢻⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠁⢸⡏⣾⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠏⣿⣠⢀⡄⣸⢇⠋⠒⡶⣤⣦⣲⢽⠰⡀⠀⣾⢀⣦⢸⠀⠀⠀⠀⠀⠀⠀⠃⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠇⣿⢰⠀⠀⡞⢣⡼⢀⠀⠀⠀⠀⠀⠀⣆⠘⡏⢀⠀⠀⢦⠓⠉⠉⠛⠛⠓⠼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠂⣿⢰⠀⠀⠏⢡⣼⠀⠀⠀⠀⠀⠀⠀⠀⡁⣿⢹⠛⠙⠋⠐⠀⠀⠀⠀⡀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠛⣸⠀⠀⠃⢼⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣟⢰⠀⠀⣀⢤⡳⠈⠀⠀⠀⠀⡄⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⣿⠀⠀⠀⣾⠇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⢸⠀⠀⠀⠀⠀⠀⣆⠙⠘⠀⠀⠀⣇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⣿⠀⠀⠇⢸⣸⠀⠀⠀⠀⠀⠀⠀⠚⠟⣰⣼⣧⠘⠀⠀⠀⠀⠀⠀⣇⢱⠞⣠⣄⡧⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠀⠀⡄⣿⠀⠀⡏⣇⢰⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢰⡟⢠⠀⠀⠀⠀⠀⡁⡟⡇⢀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⣿⠀⡇⣿⣶⣷⠰⠀⠀⠀⠀⠀⠀⣧⣿⡷⡿⢠⠀⠀⠀⠀⠀⠀⣿⣾⣿⢱⠀⠀⠀⣿⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢸⠀⠀⣄⢻⡿⣰⣷⣠⠀⠀⠀⠀⠀⠀⠀⡇⣿⣼⢀⠀⠀⠀⠀⠀⠀⡀⣿⠇⣼⠀⠀⠀⡇⢰⡀⣆⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢸⠀⠀⠀⣿⣸⠀⡷⠸⠀⠀⠀⠀⠀⠀⠀⡟⣼⠀⠀⠀⠀⠀⠀⠀⠈⢯⢡⣼⠀⠀⠀⠀⡼⠇⠘⠀⠀⣮⠢⠈⠀⠀⠀⠀⠀⠀⠀ ⣿⢸⠀⠀⠀⡄⢿⠘⠀⢧⠈⠀⠀⠀⠀⠀⠏⣾⠀⠀⠀⠀⠀⠀⠁⠐⣿⣿⡶⢠⠀⠀⠀⡟⢀⠀⣸⢤⡢⠓⠋⡈⠢⠙⠀⠀⠀⠀⠀ ⣿⢸⠀⠀⠀⠀⡀⣄⠢⠙⢮⠘⠀⠀⠁⠗⣽⠀⠀⠀⠀⠀⠀⠀⡠⠋⣾⡠⣹⠀⠀⠃⡿⣻⠀⠀⢹⠀⠀⠀⠋⡶⠿⡈⢄⠐⠀⠀⠀ ⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⢤⡿⣤⣧⣹⠀⠀⠀⠀⠀⠀⠋⡿⣴⢀⡀⣇⠙⠉⣿⣿⣿⠀⠀⣸⠀⠀⠀⣄⡳⣌⣧⠼⠈⠀⠀⠀ ⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⣰⠀⠀⣷⢿⠻⠛⠋⠟⡩⣉⠉⠉⠛⠶⣻⣈⣆⣿⣿⡀⠀⠀⣷⠀⠀⠀⠀⠀⣄⡷⡈⣇⠳⠀⠘ ⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣸⠀⠀⠀⡇⣻⣦⣿⡻⣌⣐⣻⢨⡀⣳⢹⣆⣿⠘⣷⣿⠀⠀⠀⡇⠈⠸⠀⠀⠀⠀⠀⣄⠶⡴⢤⢰ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠏⠿⠻⣟⣤⠻⡌⡹⣦⠻⡈⢦⠘⡄⣿⠘⣧⢧⡉⣿⡴⠀⠀⡇⣻⣄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⢻⣴⢀⠀⣷⣝⣷⠻⡈⣄⠻⣄⠘⣷⢸⡄⣿⠿⢰⠀⠀⠀⡇⢻⠈⡆⠶⠑⠀⠀⠀⠀⠀⠀⠀ ⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠀⣄⢷⣾⢿⠙⠄⢦⣿⡿⢰⠟⣿⣾⠀⠀⡀⠁⣿⣼⣀⢹⠁⡀⢳⠀⠀⠀⠀⠀⠀ ⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣼⠱⠄⣏⣿⢦⣸⣿⣿⠿⠿⡴⢹⡀⢛⠿⡟⣽⢙⡧⠈⠀⠀⠀⠀⠀ ⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⡘⢦⡙⣏⠸⣧⣿⣿⣿⣿⢻⡜⠸⣤⣥⣩⣞⣻⣿⢷⠀⠀⠀⠀⠀ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣌⡻⣧⢻⡆⣿⣿⣿⣤⣷⣿⣮⠻⠃⠫⢿⡷⣠⢱⠀⠀⠀⠀⠀ ⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⡌⢰⣦⢿⣿⣿⡯⠙⡄⣄⢷⡛⢦⢙⣍⣍⢰⠘⢀⠀⠀⠀⠀

⣣⠾⣓⠶⣏⡎⢣⡹⣷⢞⣍⡳⣍⡺⣗⣋⣾⡵⣦⣤⣰⣌⣄⣥⣦⠷⣯⢜⣿⠀ ⢲⡼⣛⢦⢚⣭⢖⡸⡷⢻⣱⠿⣹⢯⣴⣈⠄⠈⠡⢂⠌⠂⢁⠠⡑⠀⣤⣿⣟⠸ ⣩⢷⢎⣫⢗⣮⡷⣞⠿⣟⡿⢏⡾⣀⠜⠂⢡⠂⢠⠜⠉⢠⠘⠥⠂⡁⠄⡈⣷⢸ ⣜⠯⢧⢏⡻⢞⢷⡭⡟⣿⢿⣼⠂⢈⠣⢄⡘⡱⢎⡆⠙⢦⡍⠐⢣⠄⠊⠄⡀⢻ ⡭⢞⣨⢐⠰⡘⠃⣼⣇⣸⣇⣿⠈⡔⠋⣡⡜⠮⡝⢦⡝⢦⡜⡙⢣⡄⠘⢃⢀⡆ ⣼⠎⡌⡜⠎⠃⣿⠻⡏⣾⣤⢶⣿⠾⠍⡢⡕⢎⡣⣜⡹⢧⣌⠹⢣⢆⡈⠑⠤⠀ ⡔⠎⣑⠮⢃⣿⡴⢀⡇⢸⡀⠀⠀⣄⣦⣟⠛⣉⢠⡴⡚⢣⣌⠒⢡⢢⡄⠈⡰⠁ ⠜⣃⠵⢊⣿⣰⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⣀⣤⣶⠿⠚⢙⡉⢉⢡⡈⢉⢉⠟⡿ ⣧⠜⠣⢇⣿⠠⠀⠀⠀⣄⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⡤⣤⣤⣤⣤⣀⢋⡾ ⠉⣏⠹⡏⢾⠀⠀⠀⠀⠀⡀⢳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⡿⣴⢀ ⣻⢞⣡⣦⢿⠀⠀⠀⠀⠀⠀⠀⣄⠻⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⣰⢠⡐⠀ ⣾⢻⠀⠡⡀⣄⠳⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠛⠿⣴⣦⣛⠛⠖⡁⠄⡀⠋ ⣟⣯⢹⠀⠠⢈⠠⣅⣦⣶⠿⠿⠾⣶⡶⣶⣤⣽⣈⢠⠐⠂⢁⠠⠐⢈⠠⠋⡿⣿ ⡾⣛⣿⠘⢈⠂⠄⠂⠁⠠⠈⣐⣦⠿⠻⠛⠝⣬⢀⡐⠂⢁⠠⡉⠓⠟⡿⣿⣿⣿ ⣟⢯⣿⢿⠈⢀⡀⠁⠉⠉⠛⠛⠾⣯⣿⣿⣿⣿⡿⠿⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠿⢻⡞⢤⡭⠴⠀⠀⠀⠀⠀⠀⠀⢾⠠⠇⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠄⣼⣣⠜⣎⢀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣄⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⢡⠀⢦⠈⠀⠀⠀⠀⠀⠀⠀⠜⣄⣁⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠘⠀⠄⠐⠀⠀⠀⠀⠁⡐⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠀⠀⡀⠣⠈⠀⠁⡘⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠙⠀⠐⡤⡔⠛⢠⠀⠠⠒⠄⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠧⠙⠀⠁⡏⣽⠸⠈⠀⠀⠊⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠒⠠⣀⠀⠀⠀⡀⣌⢀⣀⢀⠀⠀⢢⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠐⢀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⢄⠘⠀⠀⠀⠀⠀⠀⠀ ⠀⠰⠀⠀⠀⠀⠀⠒⠉⠍⢹⠉⠀⠀⠀⠀⠀⠀⠀⠀⡀⠡⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⡀⢹⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠸⠀⠀⠀⠀⠀ ⡅⠀⠀⠀⠀⠀⠀⠀⠃⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣰⠀⠀⠀⠀⠀ ⡄⠈⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀ ⠀⠄⠘⠀⠀⠀⠀⡀⡧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⢡⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠢⠉⠀⠀⠀⠀⢆⠘⠀⠀⠀⠀⠀⠀⠁⠋⡨⢀⣧⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠄⠠⠀⠀⡤⠳⠓⠚⠒⠐⠽⣁⡵⣸⢢⠀⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⡘⠀⣀⠀⠀⠀⢀⠀⠁⣰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠢⠓⠛⠛⠛⠞⠠⣀⣇⠹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⣿⡿⣿⠹⠀⠋⡓⣟⣿⠿⠙⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣻⣿⣾⣿⡝⢭⡾⣰⡿⣿⣿⠸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⢿⡿⣿⣿⣿⢿⣤⣶⡶⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⣷⣙⣾⢠⠀⠀⡀⣀⢢⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣅⣁⢈⣭⣿⣷⣾⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣴⣖⣦⣤⣲⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣯⡿⠟⠋⠉⠻⡟⢟⡽⣗⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⢞⢝⣍⢿⣹⡿⠳⣛⣋⣓⣩⣲⡤⡀⠀⠀⠀⠀⠀⣰⡿⣣⠟⠁⠀⠀⠀⠀⠀⠘⢑⡻⣟⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⣿⣽⡿⣿⣟⡁⠀⠀⠀⠉⠉⢻⣟⠋⠝⢓⢤⣠⡴⣶⡿⣟⣭⣓⠖⠢⣤⣀⣀⣀⣬⡶⣻⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣹⣫⢿⡇⣃⠴⡀⣀⡠⠤⠶⠒⣺⠿⣟⢸⣯⣃⣳⡾⡲⠷⣮⣥⣼⣮⣤⣥⣾⣿⣿⣻⡿⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢘⠣⣿⣿⣶⣾⣿⣷⣶⡂⢩⡭⢊⣽⣿⡿⠿⠿⢿⣦⣴⣙⠈⠙⠏⠉⠋⠉⠀⠩⠀⠂⠀⢀⣤⢤⣤⣤⣂⣅⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠀⠉⠉⠙⠟⡟⢛⠋⡵⣻⣿⠏⠀⠀⠀⠘⢿⢯⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⣀⠖⣫⠵⢏⣽⣿⣿⡧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⣩⢅⡏⠀⠀⠀⠀⠀⠈⠫⣳⠄⢹⡆⠀⠀⠀⠀⣢⣴⣿⣿⣿⠟⠁⠈⢿⢿⡿⠄⠀ ⠀⠀⣰⣾⣏⣩⣉⠰⣄⠀⠀⠀⠀⣠⢖⣴⢟⠎⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣾⣿⡀⠀⢠⣾⣿⣿⡿⠟⠁⠀⠀⠀⣸⣾⠣⠂⢀ ⠀⣰⡇⠈⠙⠤⣽⣿⣹⣷⣤⣈⣴⣩⡤⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠛⠛⡫⠁⠀⠀⠀⣀⣴⣾⡿⠃⠁⠀⠘ ⢰⣿⣹⡄⠀⠀⠀⠉⠛⠻⠿⠛⠋⠉⠂⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣀⡀⣤⡶⠁⢼⣿⠃⠀⠀⠀⠀ ⢹⡇⠂⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡁⡆⠡⣬⣧⣀⡜⠁⠀⠀⠀⠀⠀ ⠀⠱⡄⢂⠣⠀⣠⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢶⠃⠙⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠢⢀⣙⠿⣿⡿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡾⡄⠀⠀⠀⣀⣀⠀⠀⠀⡄⠀ ⠀⠀⠀⠀⠀⠈⠑⠊⠁⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⢿⣿⣿⡶⡤⣕⡤⠀⠂⠀ ⠀⢀⠀⣤⠔⠆⢶⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠄⠀⠀ ⠁⣠⡎⠀⣀⣠⡾⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠄⠀⠀⠀ ⠀⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀ ⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⋆౨ৎ˚⟡˖ ࣪⋆୨୧⋆⋆ ˚｡⋆୨♡୧⋆ ˚｡⋆

⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⠉⢳⣰⠋⠙⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀ ⡀⠘⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠙⠷⠋ ⣰⠟⠉⠙⢦⡀⢀⣾⡟⠉⠳⣆ ⣿⠀⠀⠀⠀⠛⠛⠁⠀⠀⠀⡿ ⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃ ⠙⢧⡀⠀⠀⠀ ⠀⢀⡴⠃⠀ ⠀⠀⠀⠙⠶⣄⣀⠴⠋⠀⠀⠀⠀⠀

⣲⡟⢀⠀⠀⠀⠀⠀⠀⠀⡀⣆⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⡰⠟⣷⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣭⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⣩⠴⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢺⢸⠀⠀⠀⠀⠀⠀⠀⠀⠉⠞⣳⣌⢿⠈⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⢦⠀⣹⣗⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢟⢠⠀⠀⠀⠀⠀⠀⠋⡿⢺⡴⣢⢀⣆⢿⠀⠀⠀⠁⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣡⠔⠈⣆⡟⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⠀⠀⠀⠀⠀⠃⡿⣴⣊⡑⢌⠣⣀⠐⡌⢻⠀⠃⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣺⢐⡡⠄⠘⣣⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣸⠀⠀⠀⠀⠀⣿⢱⡰⠜⠨⠲⢁⠰⢂⠁⣧⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢼⡑⢂⡡⠐⢩⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⣽⡃⠤⠒⢌⠳⠛⡀⢄⠈⡇⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠰⡜⠃⡄⠚⣧⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⢸⠢⣑⠆⢀⠱⣀⣧⠻⠘⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠄⡘⢣⡑⢣⣎⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣘⠎⡁⠂⣀⠐⡡⠐⣆⣽⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠤⡑⢨⡱⠲⢎⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠐⠌⠂⠄⠀⠀⢀⠡⢈⡆⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣙⠢⣌⡓⠥⢚⣧⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠄⠀⠀⠀⠀⠀⠡⠂⢀⣿⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢹⠰⢎⡡⠴⡝⢣⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠁⠠⠌⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠄⠀⠀⣹⠔⠊⣡⡜⠣⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣏⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢂⠀⣿⠊⢄⡒⡌⠳⣌⡷⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠟⠾⡧⣴⣾⢥⠲⡓⠈⣿⠊⣡⠒⣍⠣⣆⡏⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢹⠛⠟⠶⡶⣶⣶⣶⣶⣳⣿⠯⠺⠛⠉⠀⠀⠄⠀⠀⠀⠈⠀⠀⠀⠀⠀⠁⠋⠟⡿⣻⣶⠶⣤⣤⣤⣤⣤⡶⠳⢛⣿⠁⢠⠰⠘⢣⢬⡜⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠁⠟⣴⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⢦⣳⣝⠾⠓⠉⠀⠀⠸⠀⠀⠁⠋⠿⣿⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⢳⡙⡄⠌⡐⠝⢢⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣹⠀⠀⠀⠀⠀⠀⠋⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⣤⣳⣝⢮⠓⠈⠋⠟⣿⣴⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢿⠌⡈⠱⢢⣟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢽⠀⠀⠀⠀⠀⠇⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⣌⣷⡜⣧⣟⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢿⠁⡰⢎⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡄⢺⠀⠀⠀⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢺⠀⢹⢦⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠛⠛⡉⢸⠀⠀⠀⠀⠇⣿⠀⠀⠀⠀⠀⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠙⠈⠀⠀⠀⠀⠀⡄⢺⢈⡓⢌⣿⣇⠺⠉⠛⠙⠀⠀⠀⠀⠀ ⡞⢃⣰⠀⡅⢸⠀⠀⠀⠀⡆⣼⠀⠀⠀⠁⠞⣼⢹⣉⣌⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⣅⠖⠙⣌⠸⠀⠀⠀⠀⠃⢼⠈⠦⡈⣷⡾⣷⠀⣀⣷⢿⠀⠀⠀⠀ ⢷⡞⠀⠀⡿⢸⠀⠀⠀⠀⠀⢻⠀⠀⠀⡄⠹⣏⣾⣧⢉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⠿⡿⣿⣿⠿⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⣭⣿⢻⢰⠀⠀⠀⠀⡏⢠⠐⢆⡑⣎⢹⣾⠀⠀⡏⣾⠀⠀⠀⠀ ⡀⣷⠀⠄⣷⢸⠀⠀⠀⠀⠀⡆⠸⠀⠀⠀⡀⢦⣲⣹⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣷⣿⣟⣿⣿⣿⣿⣿⣷⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⣤⢀⠀⠀⠀⠀⠃⣼⠠⡑⠄⠣⡅⣯⢡⠛⡶⣾⢠⠀⠀⠀⠀ ⠀⡀⠣⠈⡇⢀⠀⠀⠀⠀⠀⠀⣆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⡐⠌⠁⠠⢊⠱⣎⣹⢋⡴⢀⠀⠀⠀⠀⠀ ⠀⢆⠈⣀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣼⣤⣤⣤⣤⣦⣿⣿⣿⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⣁⠄⠈⠡⠄⠈⢣⡌⣿⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣄⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⢹⠉⠉⠉⠉⠉⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⢀⠡⠄⠀⠀⠄⠀⠡⢒⣧⠘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠹⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⣿⣿⣿⣿⣭⣭⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣼⢈⡐⠀⠀⠀⠀⠀⠄⠀⡰⢎⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣧⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣍⣿⣿⣭⣭⣭⣭⣿⣿⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⢆⢻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣅⣿⣶⣶⣷⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⡀⣿⠙⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢰⠀⠀⠀⣧⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⣿⣄⢷⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣼⠀⠀⠀⠀⡀⣧⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣿⠀⠀⣄⠘⠀⠀⠀ ⠀⠀⠀⠀⡇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣾⠀⠀⠀⠀⠀⠀⡇⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⠀⠀⠀⣆⠘⠀⠀ ⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣿⢀⠀⠀⠀⠀⠀⠀⠀⡗⢿⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡞⢀⠀⠀⠀⠀⢿⠀⠀ ⠀⠀⠀⠀⠀⡁⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣸⠀⠀⠀⠀⠀⠀⠀⠀⡀⣆⢿⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⢈⠀⠀⠀⠀⠀⡇⠸⠀ ⠀⠀⠀⠀⠀⡏⣇⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣿⣣⣶⠹⠀⠀⠀⠀⡇⢸⠀ ⠀⠋⠠⠀⠀⣼⡇⢨⢧⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⣿⢀⠀⠛⠛⠤⣠⠀⠀⢄⠻⠟⠿⠧⣿⠿⠿⠻⠛⠛⠛⠙⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠟⣽⣿⡼⣹⣟⣯⠘⠀⠀⠀⡇⢀⠀ ⡞⢀⠀⠀⠀⢹⡇⢸⡇⣸⣥⢻⠛⠙⠉⠈⠀⢠⠀⠀⠀⠁⠀⠊⠒⠒⡕⣭⣤⣏⣼⠀⠀⠀⠀⠀⡞⠀⠀⠀⠂⠙⠀⠀⡆⣿⠀⣀⣤⣲⣑⣅⣦⣤⢲⠐⠀⠉⠉⠉⠋⡟⣥⣿⣆⣸⣿⢹⣧⢋⣧⢻⠀⠀⠀⣿⠀⠀ ⢀⠀⠀⠀⠀⣷⡀⢸⡀⢸⠀⣿⠅⢸⡀⣀⣷⣽⣿⣤⣿⢿⠿⠛⠉⠀⠀⠀⠁⣿⢀⠀⠀⠀⠃⡏⢀⠀⠀⠀⠀⣧⠀⠀⠀⣧⢸⠀⠂⠤⢡⠋⠶⡤⣠⣀⣹⠀⢀⠀⡟⣾⡿⣿⠀⠠⣇⢿⡇⢋⣱⣿⢹⠀⡇⣸⠀⠀ ⠀⠀⠀⠀⠀⡇⠈⣿⡿⢘⠀⣷⡄⢻⠀⠀⡀⣿⣿⠈⡇⣿⣿⣿⣿⣽⠾⠛⡏⣸⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀⠀⡄⠸⠀⠐⡖⣿⢛⠖⡤⢀⠀⠀⠀⠀⠀⡾⢸⠀⠁⣿⡇⢰⣿⠀⠀⡇⣽⡇⢏⡱⣿⣿⠁⣿⠀⠀⠀ ⠈⠀⠀⠀⠀⠁⢿⡤⣿⢹⠀⡇⠘⣿⠀⠀⠀⡇⣿⢿⡘⢾⣇⣿⣯⣿⠚⣇⣼⢧⠈⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⢇⡀⠐⠞⣤⢀⠀⠀⠀⠀⠀⠀⠀⠏⢿⢧⠀⡏⢸⣀⠃⣾⠀⠀⡇⣸⡇⣿⡇⣼⣿⡿⢰⠀⠀⠀ ⢻⠀⠀⠀⠃⡼⡯⠸⣇⣿⠘⡀⢠⡇⢸⠈⠀⠀⣿⠀⢸⣸⠀⣿⣿⣿⢻⣾⠀⠀⢸⠀⠀⠀⠀⠀⠀⠎⣡⠀⠀⠃⡕⢢⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣯⢠⡇⠋⢰⠀⠀⡇⢰⠀⠀⡏⢸⡇⢰⣿⢰⣿⣠⠀⠀⠀⠀ ⡄⠱⠀⠀⡇⢀⣿⢿⠈⣱⢿⠈⠀⡄⢸⠇⠀⠀⢸⠀⣿⢂⠀⣿⣿⡡⣿⢰⠀⠀⢸⠀⠀⠀⠀⠃⡿⣾⣫⣵⣻⠘⠀⠱⣯⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⢠⠀⡏⣸⠜⠀⠃⣸⠀⠀⠀⣿⠀⡀⡇⣾⡇⣿⠙⠀⠀⠀⠀ ⡄⡳⢻⠉⡿⠸⣧⣹⢷⡈⡧⢾⠈⠀⢀⡇⠘⠀⢸⠀⣻⠀⢀⣿⣼⡏⣼⠀⠀⠀⢺⠈⠀⠁⠟⣭⢳⣯⢏⣳⡼⣿⢻⠡⣿⠀⠀⠀⠀⠀⠀⠀⡞⣧⢰⠀⠏⣰⠘⠀⠝⣾⠀⠀⠀⡇⣸⠀⠁⣿⢠⡟⡆⣿⠸⠀⠀⠀ ⠀⠀⢇⡙⣦⢿⡈⣦⡹⢷⠈⣧⢻⠀⠀⡆⢰⠀⠀⠇⢸⠀⡟⣼⢋⣿⠀⠀⠀⠀⢹⠛⣿⣿⢿⣽⡻⢟⣻⡿⣟⡳⣿⣻⣷⠨⠀⠘⠀⠀⠀⡏⢡⣾⠀⡏⣼⢃⠀⠇⣿⢠⠀⠀⠁⣿⢀⠀⡿⣰⠏⢰⡇⢸⢸⠀⠀⠀ ⠀⠁⣽⣢⢿⡛⣬⠳⣌⣳⢿⠈⣄⢦⠙⠈⢱⡊⠀⡿⢠⡟⣡⢟⣿⢰⠀⠀⠀⠃⣿⣿⣶⣴⣤⣀⣀⠀⠀⡀⣄⣷⣿⣿⣿⢸⠀⠀⠀⠀⠃⣼⠧⢸⠃⣶⡐⠼⠀⡿⢠⠀⠀⠀⡟⢠⠁⡞⢡⠳⣼⠀⡟⢃⢸⠀⠀⠀ ⠃⠶⣋⢦⠱⣳⣆⠿⣓⠯⡙⣬⠳⠈⠀⢏⠛⢈⠋⣿⠛⡿⣻⡟⣸⠀⠉⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⣿⢸⠀⠀⠀⠀⠀⢻⠀⢳⡇⠀⠠⢸⠀⣰⠀⠀⠀⡟⢠⠃⡴⢋⡿⣼⠀⠎⢁⡾⠈⠀⠀⠀ ⡼⡹⢒⣭⡜⡹⢦⠘⢣⡄⣐⣀⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣭⣿⠟⡴⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⠀⠀⡄⠹⡆⣿⠀⠀⢠⠄⠀⠌⠁⡞⢠⠄⠋⡼⢏⣰⠃⡴⢋⣴⠀⢸⠀⠀⠀ ⣬⡙⢧⢊⡵⡘⠦⡑⢠⡜⠀⠀⣅⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣽⢉⠉⠀⠀⠀⠀⠀⠀⠁⠋⠚⠖⠶⠒⠒⠉⠈⠀⠀⠀⠀⠀⡀⢧⠙⠈⠀⠀⡄⠻⣿⠘⠀⠀⠀⢋⠏⣼⢀⠉⡾⣫⣴⢉⠞⣫⡴⢀⠁⡟⢠⠀⠀⠀ ⢜⡱⢪⡜⢣⡐⢬⡑⠤⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣧⣾⣡⢉⠘⠀⠀⠀⠀⠀⡀⣀⣤⠦⠲⠒⠓⠋⣟⠾⠀⠀⠀⠀⠀⠀⣆⣷⠿⠙⠏⣿⣿⣿⢿⠻⡛⢉⠉⢛⡽⣻⡿⢟⡿⢞⣤⢀⠁⠋⡶⢀⠀⠀⠀⠀ ⡜⠣⢱⣌⠲⡍⢂⡐⠀⠁⠟⣿⣿⣿⣿⣠⣏⣿⣯⣼⣟⡣⣿⠿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣽⣩⢉⠛⠟⠶⣤⢀⠀⠀⠀⠀⠀⠀ ⣈⠴⡘⡘⢦⠉⢠⠀⠃⣾⣏⣿⣼⡟⢀⢿⣷⣿⣤⡜⢧⣿⣼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠂⠓⠭⡦⢿⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⣀⣀⣠⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢂⣡⠖⡉⢢⠐⠀⠀⣿⢠⣿⣤⢀⣻⠇⣼⡿⢠⡐⠇⣿⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡨⠀⠀⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⣄⢷⣏⣿⣾⣿⣿⢻⣇⣿⣿⣿⣿⣿⣸⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢆⡉⠤⠘⢠⠀⠀⡇⣼⠇⣾⠀⠍⢸⣿⢯⣸⢀⠃⣿⣸⠁⠈⠀⡁⣛⣛⣍⠢⠀⠀⠀⠀⠀⢄⠒⠖⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣿⣎⣹⣾⣿⣿⣿⡇⣎⣿⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢼⠑⢢⠀⠀⠀⠀⡇⢸⡇⢸⠀⣼⢿⣸⣾⠀⠀⡽⡿⢟⣽⠘⠆⣷⣿⣷⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠒⠒⠓⠉⠀⠀⠀⣧⢻⣆⣎⣿⣿⣿⡿⣱⣿⣿⣿⠻⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⡘⠥⠀⠀⠀⠈⡇⢿⡇⢸⠂⢿⣰⠀⢸⠀⡀⡇⣿⡟⣿⢻⢿⡿⣿⡽⣯⣽⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣿⣿⠻⠈⢄⠈⠀⡀⣿⠸⢂⣧⣿⣾⣻⡆⣿⣿⢸⣿⢸⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⣄⠲⠆⡡⢂⢂⡇⣿⡇⢸⠁⣾⠀⠀⢸⠀⠀⣿⣾⢀⡄⣿⣾⣿⣿⣿⣿⣴⣧⡮⣟⢿⢿⠙⠈⠀⠀⠀⠃⠙⣿⣏⣹⣿⣿⢿⠀⣇⠻⠈⣿⢻⢁⡀⣿⣿⢻⣀⣿⣟⢠⣿⢸⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠂⢀⠠⢀⡀⠀⢀⠀⣷⣈⢸⡅⢸⠀⠀⠨⠀⠇⣿⢠⠀⠀⣿⠀⠀⣇⣦⢿⠈⡀⢸⡀⣷⣿⣿⣈⠳⢎⠘⠀⣇⣿⣿⣿⢿⣟⢿⡿⡿⣿⣿⣿⣿⠸⠀⣿⢹⣿⠖⣹⣼⠃⣿⢰⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡆⢹⢿⡀⢸⠀⠀⠈⠀⡏⣼⠀⠀⠀⡷⢸⠀⡇⠠⣄⣷⠛⢿⠙⠀⣧⣽⢿⡘⣽⣿⠈⠀⣆⣿⣤⣿⣾⣿⣸⣇⢸⠐⣧⣿⢼⠀⣯⡗⣿⠈⡿⢁⣿⣸⠐⠠⠀⠀⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡿⠀⢿⠀⠀⠁⠀⡇⢹⠈⠀⠄⡗⢹⡤⣧⣶⢽⡶⣷⣿⣜⣷⡘⢤⣷⣿⡿⡆⢻⠀⠀⣿⠹⢸⠂⡄⣿⡿⢰⠡⡄⢹⣸⠐⡄⡿⢸⠇⢸⡟⣼⠀⠀⠁⠀⠠⠀⠀⠂⠀⠠⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⠸⣧⠈⠀⠀⠀⡇⠀⣄⠦⠓⠉⣟⠻⡏⢐⡀⢦⠙⡄⣧⠘⣷⠸⡇⣿⣿⠀⣿⠀⠀⣿⣿⢠⠀⠀⣿⣿⠀⠂⠀⣻⢼⡈⠃⣾⠁⡾⡟⣾⢁⠀⢀⠀⠀⠀⠈⢀⠀⠀⠈⠄⠀⠀⠄⠀⠀ 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⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠐⠶⣿⣿⡿⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣇⡀⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⡿⠟⠋⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⣿⣆⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡿⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀

⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⣒⣒⠒⠒⠓⠚⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒ ⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⠀⢷⠀⠀⠀⠀⠻⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢨⠀⠀⠀⡇⠘⠀⠀⠀⣿⠹⠀⠁⡏⢸⠀⠁⠀⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢻⠐⠃⠿⣿⢻⠀⠀⠁⣿⣿⣿⣿⣿⣿⠀⡏⡾⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡷⣿⢸⣯⣿⣿⣿⠸⠀⡇⣿⣿⣿⣿⣿⣿⠇⣿⢻⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠇⣯⣿⣿⢸⣀⣇⣿⣿⢿⠀⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣠⣿⣿⢹⠀⡇⣿⣿⣿⠀⣿⣿⣿⣼⣷⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠇⢰⡇⣿⣻⣿⠻⡟⣿⣿⣿⠏⣿⣿⣿⢻⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⢁⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣶⣷⣿⣿⣷⣿⠸⠀⠀⠀⠀ ⠀⠀⠀⡏⣼⣀⡧⣿⣴⣀⠀⠀⣄⣷⣿⣿⣤⣀⠀⠀⠀⣆⠹⠀⣦⢿⠀⠀⠀⠀ ⠀⠀⠃⣼⠀⠃⣿⢰⠀⠀⠀⠀⠀⡆⣿⣿⠀⠀⠀⠀⠀⡀⣆⠸⠀⡇⠹⠀⠀⠀ ⠀⠀⡞⢀⠀⡿⢰⠀⠀⠀⠀⠀⠀⡇⣽⣿⠀⠀⠀⠀⠀⠀⠀⣇⠘⠀⣇⠘⠀⠀ ⠀⡎⢀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠁⡿⣿⣷⠙⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⢿⠀⠀ ⠀⢀⠀⠀⡇⢈⠀⠀⠀⠀⠁⠛⡿⢠⣗⠀⣷⠙⠀⠀⠀⠀⠀⠀⡄⠸⠀⡆⢹⠀ ⠃⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠑⡏⠀⣿⠀⡏⢀⡀⢀⠀⠀⠀⠀⠀⢷⠀⠀⣿⠀ ⡄⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⣆⢹⣦⠐⣼⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⠀⣼⠀ ⠀⢡⠀⠄⢸⠀⠀⠀⠀⠀⠀⠀⠀⣁⠉⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⠃⢠⠀ ⠀⠀⢢⠈⢸⠀⠀⠀⠀⠀⠀⠀⠀⡗⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⢀⠀⠀ ⠀⠀⠀⢄⢢⠈⠀⠀⠀⠀⠀⠀⠀⡀⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠎⣠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠣⠉⠀⠀⠀⠀⠁⠋⢿⠹⠙⠀⠀⠀⠀⠁⠞⡠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡿⣀⢦⠼⠧⣾⣹⣶⣼⣇⣏⣠⣼⠤⡿⣼⣆⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠇⢸⠀⠀⣇⠈⣷⣷⠀⢰⡀⣸⠀⢦⡇⢢⢀⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⢳⠈⠀⠀⢹⡇⡄⠸⢠⠀⢻⠇⠡⣼⠀⠁⠊⢠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⠤⠂⡇⡀⠀⢸⠀⠃⢀⡄⡆⣼⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠁⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠁⠀⠀⠈⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢿⡆⠔⠀⠀⠀⠀⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠁⠉⠉⠉⠉⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠏⠶⡤⣤⣤⣠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣇⢸⠀⣼⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⢤⠶⠳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠏⣶⠶⠤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣤⣤⣤⣤⣧⢸⠃⣼⣤⣤⣤⣤⣠⣀⣀⣀⣤⣤⣤⣤⣤⠤⠦⡶⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠇⣶⠶⠤⠤⠤⣤⣤⣤⣤⣤⣤⢤⠤⠤⠦⠶⠶⡷⢸⡇⢿⠶⠶⠶⠤⠤⡤⣤⣤⣤⣤⣤⣤⢤⠤⠤⠶⡶⢻⠀⠀⠀⠀ ⠀⠀⠀⠃⣾⠶⠴⠤⠤⠤⢤⠤⠤⠤⠦⠶⠶⠶⠒⠒⠛⠛⡏⢸⠀⢻⠋⠛⠚⠒⠶⠶⠶⠴⠤⠤⠤⡤⠤⠤⠤⠤⠶⣶⠸⠀⠀⠀ ⠀⠀⠀⡾⢤⠤⣤⣤⣤⢤⠤⠦⠶⠶⠶⠶⠒⠛⠛⠉⠉⠈⡇⢸⠀⣿⠁⠉⠉⠋⠛⠚⠖⠶⠶⠶⠴⠤⡤⣤⣤⣤⠤⡤⣷⠘⠀⠀ ⠀⠀⡏⢻⠟⠿⠿⠿⠿⠻⠛⠛⠛⠛⠛⠉⠉⠉⠀⠀⣀⣀⣧⢰⠀⣿⣀⣀⢀⠀⠉⠉⠉⠋⠛⠛⠛⠛⠛⠿⠿⠿⠿⠻⡟⢿⠀⠀ ⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠀⠀⣧⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀ ⠀⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠀ ⠀⣿⣦⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣧⠈ ⠁⢸⠀⠀⣄⣦⣿⣿⣿⣿⣿⣿⣾⣶⣶⣶⣶⣤⣤⣤⣤⣾⠀⠀⠀⠀⣧⣼⣤⣤⣤⣦⣶⣶⣶⣷⣿⣿⣿⣿⣿⣿⣾⣠⠀⠀⡇⢸ ⡇⢸⠀⠀⠀⠀⡋⣿⣴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀⡀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⣿⢻⠀⠀⠀⠀⠀⢹ ⡇⢸⠀⠀⠀⠟⣿⣠⠀⠀⠀⠀⠀⠄⢤⠤⠶⠶⠛⠟⣠⠀⠀⠀⠀⠀⠀⡀⢻⠛⠞⠶⠴⠤⢤⠀⠀⠀⠀⠀⡀⣷⢿⠈⠀⠀⠀⣿ ⡇⢸⠀⠀⡟⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢦⠻⠿⠿⠿⠿⠿⡴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⢿⠀⠀⠁⣿ ⡇⣿⠻⠏⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⢻⠟⣿⣸ ⡀⣿⣿⣿⣿⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡟⣿⣿⣿⢸ ⠀⣿⣿⣿⣿⣿⣿⢿⠻⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⠿⣿⣿⣿⣿⣿⣿⢀ ⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠻⠛⠛⠛⠛⠛⠛⠿⡿⢿⠿⠛⠛⠛⠛⠛⠛⠟⠿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀ ⠀⠀⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀ ⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀⠀ ⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀ ⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣥⣮⢰⡆⣵⣭⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡁⣟⢶⡶⣻⢉⡧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠟⢸⠀⢿⠛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠓⣝⢀⠀⣭⢛⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠛⡶⣴⣤⣶⠓⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⣼⠀⠀⡇⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣿⣿⣿⣽⣂⣛⢹⠈⠁⡉⣻⣘⣇⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣸⠃⠗⣶⣤⣤⣦⠶⠒⡅⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⣿⣿⣿⣿⣿⣿⠿⣾⠀⠀⠀⠀⣇⠿⡿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣸⠆⡓⢛⠉⠈⠁⠉⡋⣛⠲⡇⣿⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣿⣿⣿⣿⣿⢸⠶⠵⣤⣤⣤⣤⣤⣤⠧⠶⡀⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣤⣤⣦⣶⣰⠀⠀⠀⠀⠀⠀⡄⣶⣴⣤⣤⣤⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⡤⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⢤ ⢣⡀⠀⠉⠲⢤⣀⡀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠉⠀⢀⡜ ⢸⡉⠒⠄⠀⠀⠀⢉⡙⢢⠀⠀⡔⢋⡉⠀⠀⠀⠠⠒⢉⡇ ⠀⠉⢖⠒⠀⠀⠀⣇⠀⣸⠀⠀⣇⠀⣸⠀⠀⠀⠒⡲⠉⠀ ⠀⠀⠀⠉⠙⠫⠤⠚⠉⠀⠀⠀⠀⠉⠓⠤⠝⠋⠉⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣤⣀⣀⣀⣀⣄⣤⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣤⣀⣀⣀⠀⡀⣀⣦⣷⣿⣿⣿⣿⣾⣴⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠆⠉⠀⠀⠀⠀⠀⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠃⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣀⠀⣾⣶⣿⣿⣿⣿⢀⠦⠈⠀⠁⠋⠛⠚⠒⠒⠓⠟⢹⠀⠀⣆⠘⠀⠀⠀⠀⠀⠀⠀⠁⠋⠞⣠⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⢀⠀⡀⣄⣦⣷⠸⠀⢫⡿⣾⣤⠀⠀⠀⠀⠀⡀⣄⣽⠦⠓⣟⠀⠀⠀⠀⠁⠋⠶⣠⢀⠀⠀⠁⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠐⡇⣿⠟⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠹⠀⡀⣦⣬⠤⡤⣀⠀⠀⠀⠀⠉⠟⣿⣿⣿⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣀⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠀⠀⣄⠰⠀⠀⠀⠀⠋⡿⣿⣾⣤⣀⢀⠚⡴⣤⣦⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣿⣿⣿⢻⠉⠋⠟⠿⣛⣟⣿⣿⣿⣶⣶⣶⣶⣴ ⠉⠉⠛⠟⠻⠛⠙⠛⡟⣾⢧⠈⠋⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣤⣤⣶⣷⣿⣶⣶⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⡀ ⠀⠀⠀⠀⠖⠤⣤⣤⣀⢸⡇⢿⢠⠃⢠⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠋⠖⣠⣇⠘⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠀⠀⠀⡄⢿⡀⣰⠀⣾⡤⢁⠚⢰⠀⠀⠀⠀⠀⠋⠖⡠⢀⠀⠀⡇⢸⠀⠀⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⡀⢦⣳⠉⠉⠽⣬⢤⠯⠚⠓⠞⠶⣲⠒⠒⠒⠒⠓⠾⡶⠻⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠋ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡃⣸⠀⠀⠀⠀⠟⣠⠉⠖⠤⣤⣤⣤⣭⣚⠴⠢⡟⣼⠀⡇⢸⠀⠀⠀⠋⠛⠛⠿⠿⡿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠃⠿⠿⣿⠀⠀⠀⡇⠀⠀⠀⠀⡇⣼⣤⢘⠀⠀⠀⠋⠔⢀⠀⠀⠀⡞⠀⠀⡇⢸⠀⠀⠀⣿⣿⣿⣾⣴⣤⣀⣤⣶⣷⣿⣿ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⡇⠐⠀⠀⠦⡕⢿⠼⢠⠁⠜⣠⠀⠀⠀⠀⠉⡞⢀⠀⠀⡇⢸⠀⠀⠀⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⡀⣧ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⡀⠳⠀⠀⠀⠀⣠⣀⢤⠶⢶⠒⠒⠔⠧⣾⢀⠀⠀⠀⠀⡇⢸⠀⠀⠀⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⡀⢦⠓⠈⠀⠀⠀⠀⠀⠀⠉⠚⡷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢙⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣞⣷⣿⣿⢻⠂⠒⠶⢳⠈⠀⡀⣀⠄⠤⠤⡠⣀⢀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠏⡿⣿⣿⣸⠄⡼⡴⣶⠠⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⡟⠈⠀⠀⠀⠀⠀⠀⠁⠘⠀⠀⠀⣿⣿⣿⣿⢹⠀⠀⠀⠀⠀⠋⡟

⢮⡜⡻⡜⣹⡜⢮⣙⡴⢛⣦⡝⢏⣧⢻⣼⡚⢱⣼⠮⣓⣬⡳⣸⡷⣎⣎⣽⢟⣿⡾⣶⢦⣵⣤⣦⣤⡶⣥⣶⡶⢟⣙⣮⣿⢎⢣⣿⠸⠀ ⢮⣙⢼⡷⢋⣥⢞⡱⣺⡝⢦⣙⠶⣏⣧⡟⢌⣺⡗⣌⠿⣾⣣⡕⢫⢿⣶⣠⢠⠐⠌⠂⢁⠠⠐⢈⠡⠄⠂⠁⢀⡈⣦⣷⡝⣿⢚⣯⢸⠀ ⢞⡫⣕⢺⡱⣳⡜⢮⡞⡕⢮⣓⡶⢋⣦⢿⣎⡗⢋⣿⢳⣬⣛⡿⣢⢁⠄⡈⠄⠊⡁⠄⠐⡠⠌⠂⢀⡐⠌⠂⡀⠐⠌⡀⣆⣿⢿⣏⣿⠀ ⠵⣎⡳⡝⣣⠶⣋⢧⢏⣫⡝⢫⣭⢏⣡⣷⢽⢫⣿⡴⠻⣾⣡⠠⠎⠀⡘⠃⢅⠂⠠⢐⡘⢃⡀⠒⢈⠰⠃⢀⡐⠌⠂⢁⠡⡀⣷⢿⣿⠀ ⣲⡝⢮⡳⣍⡼⢛⣬⣛⣬⣹⣴⣻⣴⣾⡿⣿⣽⣱⡿⣴⢈⠡⠂⠔⡈⠑⠢⠐⠣⣀⠱⡌⠉⢠⠱⢈⠰⢃⡀⠰⠊⢁⠠⠘⠠⠀⣧⣿⢸ ⣱⠾⣋⣱⠾⣍⠳⣥⠝⣫⡝⣎⠳⣥⡟⣿⣿⣻⡿⣰⠌⠁⠠⢘⠣⢄⡉⠣⣅⠢⣌⠣⢌⠳⣌⠣⢆⣈⠱⢊⡡⠔⠂⠡⠂⣀⠐⠀⣧⢸ ⡼⠟⢣⣱⠿⣞⡾⣴⣦⣡⣄⣧⢻⣿⣻⣿⣷⣿⣿⢨⠄⡈⠱⡌⠑⢪⡑⠦⡑⠼⣋⢣⡝⠣⣙⢱⢣⣌⠣⢌⡘⠣⣀⠘⠡⢂⡈⠄⡀⣽ ⡼⢛⣭⡴⡉⠃⢀⡘⠆⠈⠠⡟⣼⠀⣿⣺⠀⣧⣿⢹⢂⠌⠡⡘⠬⠖⣉⡱⢪⡜⠳⢦⡙⢦⡝⡣⢳⣌⠫⢔⡪⠑⢣⡄⠒⠌⠃⢀⠠⣇ ⡿⣱⢈⠴⠓⠤⡒⠍⢃⡀⠟⣼⡙⠀⣿⢟⢻⠿⣿⣝⢷⠙⢠⠱⣌⠣⣑⠮⢏⣍⡱⣮⡙⣼⡛⢬⡳⢎⢣⡱⢌⡱⠘⢤⠘⠡⢂⡀⠘⠠ ⣾⠡⡌⡜⠱⣩⠦⠘⢨⡟⣾⣷⢻⠙⣿⣼⣤⠈⣀⣤⣶⣟⣮⠻⡘⢢⡱⠜⢣⡴⡛⢥⡳⣌⠳⣎⢓⣬⢎⡩⡔⠪⡑⢆⡈⠑⠤⢂⠌⠀ ⠆⢢⡕⡌⡸⠱⢲⢌⡟⣿⢃⡾⢀⡀⣇⢸⠀⢄⠀⠀⠀⡀⣄⠷⣽⢧⠹⡌⢂⣩⠔⣩⠶⣉⢳⣌⠳⢎⢣⡑⢣⢤⡒⠍⢂⠠⡔⠈⢐⠀ ⡐⢎⡡⠵⣊⡱⢎⡇⢿⣽⢀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⡶⣟⢯⠳⡍⠈⢢⡑⠦⡍⠢⠜⢢⡑⠢⢌⠣⠁⢠⡜⠈⡐⠀⡿ ⠛⢃⣡⠱⣬⠓⢡⣿⣾⠀⠀⠀⠐⠀⠀⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢦⣳⣝⢯⠳⠛⠙⢉⡈⢄⡀⠠⢄⠀⡠⠄⠉⠋⠞⣯⣿ ⣷⠘⡡⡒⣍⡒⡏⣷⢸⠀⠀⠀⠀⠀⠀⣆⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣄⢦⡲⣛⣟⣽⣯⣭⣿⣭⣽⣻⣞⡶⣤⢀⣿ ⡀⣷⡙⠤⡙⠠⣿⡿⢰⠀⠂⠀⠀⠀⠀⠀⡄⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⣀⡀⠀⠀⠀⠁⠋⡿⣶ ⠀⠀⣦⠻⠌⠢⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢷⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠟⣿⣾⣢⠀ ⠻⠿⠷⡾⢷⠝⣻⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⡿⣿⣶⣡⠀⢂⠀ ⣿⠞⢫⣔⡤⣄⢿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⡿⣿⣶⣤⢈⠠⠈⡑⠄⠀ ⣷⢿⢹⡀⠐⢈⠁⣄⢶⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⠿⣿⣴⣴⣠⠀⠠⢀⠃⠄⠂⠄⡐⠀ ⣽⡾⣿⠘⠂⡀⠐⠂⠀⡂⣤⠷⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠋⠛⠿⡿⣿⣶⣦⣁⣤⣦⠷⡶⢶⣤⡐⠈⡐⠆⡀⠁⠿ ⡽⣟⣯⢿⠀⠈⡐⠄⠂⢀⠂⠀⣤⣶⣿⣿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣷⣶⣷⣤⣐⣨⣐⠀⠐⠌⠂⠄⡐⠀⡐⠉⢀⠡⠆⡀⠁⠟⣿⣿ ⣞⡽⢯⣷⢹⠀⠌⡀⠌⡀⠈⠂⢁⠀⢀⡐⣀⣤⣷⣿⣹⢉⣀⢀⠠⢈⠠⠀⡏⣿⠐⠂⡁⠄⠂⠐⢈⠡⡐⢁⠠⠐⡀⠁⠋⠿⣯⣿⣿⣿ ⣽⡾⣛⣷⣿⠸⠄⠈⠐⠌⠀⢂⠀⡐⠈⠐⠠⠈⠂⠀⣦⣿⣿⠿⠛⠙⢉⠞⣤⣁⡀⠌⠐⠡⢂⠄⠄⠠⡀⠉⠋⠛⡿⣿⣟⣿⣿⣿⣿⣿ ⡾⣟⣛⣽⣿⣿⠉⠄⠀⠐⠠⢁⠠⠌⠀⡐⠄⠀⢀⠀⠉⡋⣿⣿⣿⣿⣿⣿⣿⠻⠙⠏⠉⠹⠏⠏⠿⠯⣿⣟⣟⠿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⢯⡽⡿⣿⣿⢻⠀⡀⠀⢀⠀⠉⠉⠋⠛⠛⠿⡿⣼⣿⣣⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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⠀⠀⠁⡿⣒⠒⠒⠒⠒⠒⠒⠙⣉⣌⠤⠶⣿⢾⡷⣭⣂⢒⠀⠀⠀⠀⠀⠀⠀⠂⣒⣖⣿⣿⠻⣟⠀⠀ ⠀⠀⡏⠉⠒⠔⠤⠤⠤⠒⠒⠒⠁⣉⣄⢯⣿⣴⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣆⣿⠠⠀ ⠀⠃⣴⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⡀⣿⢹⠋⠔⠤⣀⡀⢀⠀⠀⠀⠀⠀⡀⡀⢄⠤⠂⠓⠉⡀⢸⠀ ⠀⡎⠤⡀⢀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠢⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⢸⠀ ⠇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⢿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⡟⠉ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡽⣿⣼⢀ ⣿⠘⠀⠀⠀⠀⠀⠀⠋⠟⣿⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠟⣿⣿⣿⣸⠀ ⣆⢻⠉⠉⠋⠛⠞⣶⣧⣷⣾⣷⣿⢾⠳⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠟⡶⣤⣠⢃⡿⣷⣿⢸⠀ ⠀⡀⣧⣈⢀⠀⠀⠀⠀⡀⠀⡄⣿⢸⠂⠀⣀⣤⣤⣤⣤⣤⣤⣥⣯⣺⣛⡒⠛⠛⠟⡿⣠⠀⡏⣿⣿⠀ ⠀⠀⠀⣄⠷⠛⠈⠀⠀⠀⠀⠀⣷⣿⠈⠀⠀⠀⠀⠀⠉⠚⠤⣀⢀⠀⠀⠀⠀⠀⠀⣆⢻⠀⠀⣇⣟⢸ ⠀⠀⠀⠀⡀⣦⢷⠻⠉⠀⠀⠀⡀⣷⣿⠉⠀⠀⠆⣻⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠸⠁⡏⣿⢠ ⠀⠀⠀⠀⠀⠀⠀⣄⣦⣿⢻⠉⠈⠀⣦⣿⠻⠘⠀⣷⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣏⡾⣠⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣦⢷⠙⣉⣯⣿⢿⡍⣿⢻⠙⠈⠀⠀⠀⠀⠀⠀⠋⠟⣾⣥⢛⡿⣹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⠾⠶⠶⠲⠶⣤⣠⢁⠋⣿⣿⣿⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣽⣧⣿⣿⣿⣿⣿⣿⣾⢤⠶⠴⠤⠶⡶⣷⣿⣿⣿⣿⢠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣦⢳⣿⣿⣿⣿⣤⠤⠤⡤⣴⣤⣤⣀⣁⠋⡖⣤⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢠⠀⠀⠀⣀⣧⣴⠤⠤⠤⠤⠤⠤⠠⣀⣀⠀⠀⠀⡇⠘⠀

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⠀⠀⠀⠀⠀⠃⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⢰⠀⠀ ⠀⠀⠀⠀⠂⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠃⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣻⠀⠀⠀ ⠀⠀⠁⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⢸⠀⠀⠀ ⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣿⢸⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢸⡇⠸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢀⡇⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢰⠀⡇⢹⠊⠴⢀ ⠒⠑⠉⠀⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣼⠉⠉⡎⣠⠀⠀⠀ ⠣⠒⠉⢄⠑⢃⠀⠀⠀⠀⠀⠀⠁⠛⠿⣿⣿⣠⡞⣠⠀⠀⠀⠀⠀ ⣀⠢⠑⣀⠢⣗⢿⠿⡹⠀⠉⠟⣻⣿⣿⣿⢉⡴⠀⠀⠀⠀⠀⠀⠀ ⣤⠧⠛⣈⠤⠛⣯⣿⠿⣿⣿⣛⣶⣴⣤⢃⣰⠈⠀⠀⠀⠀⠀⠀⠀ ⡄⠤⡠⣴⣀⣀⠀⠀⢀⠀⣄⢢⠓⠟⠿⣸⠄⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠆⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢄⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢄⠂⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⡺⣒⣒⣒⠒⠒⠒⠒⢓⡇⠒⠒⠒⠒⣒⣒⣒⢖⠘⠀⠀ ⠀⠀⡾⣒⣒⣒⣒⣒⣁⣉⠍⡬⡇⠩⣉⣈⣒⣒⣒⣒⣒⢖⠈⠀ ⠀⡏⣉⣉⣉⣉⢉⠍⠬⠤⠢⢸⡇⠐⠤⠥⠩⡉⣉⣉⣉⣉⢫⠀ ⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸ ⡇⣄⣶⣿⣿⣿⣿⣶⣶⣶⣷⢀⠀⣶⣶⣶⣶⣿⣿⣿⣿⣾⣠⢠ ⠘⠀⠁⡾⢀⠀⠀⠒⠁⠉⠰⠀⠀⡄⠙⠈⠒⠐⠀⡀⣧⠘⠀⡇ ⢣⠉⡾⠀⠀⠀⠀⠀⠀⠀⢄⠿⠿⡰⢀⠀⠀⠀⠀⠀⠀⣧⠙⡟ ⡇⣿⢿⠛⠉⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠉⠛⡿⣿⢸ ⡀⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⡿⢿⠿⠿⠿⠿⡿⣿⣿⣿⣿⣿⢠ ⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀ ⠀⠀⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀ ⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣸⣛⣛⣏⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀ ⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⢽⠸⡇⡮⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⢝⣸⣆⠫⣿⣿⣿⣿⣰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣾⡍⢲⠒⢭⣷⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣼⣿⠈⠀⣯⣮⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣄⣦⣶⠒⣰⣀⣀⣀⠒⣶⣶⣤⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢠⠔⠚⠒⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠏⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡀⠀⠀⠀⡇⠀⠀⢀⠀⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢧⠀⠀⠀⢳⣾⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⢀⡀⠀⠀ ⠀⠀⠀⠀⠑⡶⠀⠀⠙⠛⠻⠿⣿⣿⣿⣿⠷⠶⠒⠚⠉⠉⠉⠓⡄ ⠀⠀⠀⠀⡼⠁⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⡴⠲⢤⠇⠀⠀⠀⠀⣆⡸⠂⠀⠀⠐⠀⠀⠀⢶⣤⣀⣀⡤⠞⠁ ⠀⢧⡀⠈⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⢈⡿⠒⢆⠀⠀⠀ ⠀⠀⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠁⠈⠀⠀⠀ ⢰⠒⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠈⠄⠀ ⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃⠀⠀⠀⠀⢅ ⠀⠙⠲⠞⠓⠢⢤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠛⠳⠤⠖⠃⠀⠀⠀⠀⠀⠀

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

⣿⣿⣿⣿⣿⣿⣿⣾⣶⣶⣶⣷⣿⣿⣿⣿⣾⣶⣤⣠⣀⣀⣀⣄⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⣀⣦⣼⢀⠀⠀⠀⠀⠑⠀⠀⠀⡇⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠋⠟⣿⣿⣿⣿⣿⣿ ⢀⣴⣦⣿⣻⠄⠉⠋⠚⠒⠒⠒⢹⠈⢡⠀⠀⠀⠀⠋⠔⣀⣧⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣇⠻⣴⢀⠀⠀⠀⠀⡀⡱⢄⠵⠀⠤⣀⠀⠁⠟⡿⣾⣷⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⡄⣸⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠀⠁⠟⣿⣨⢁⠍⣛⣛⣿⣿⣿⣿ ⠀⠒⠒⠓⠛⣿⠡⠊⠐⠀⠀⠀⠀⠀⠀⠀⠀⠏⣤⣦⣷⣶⣤⣤⣀⣀⢀⠀⠀⠀ ⠀⠀⡀⣀⠀⡷⡆⢁⢺⠥⠸⠀⠀⠀⠉⠔⣀⡇⠸⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡤⠓⠖⣒⠖⠎⠴⣩⠉⠭⠦⡬⠱⠀⣼⠀⠀⠀⠀⠉⠉⠋⠛⠛ ⠀⠀⠀⠛⠟⠸⠀⡇⠀⠀⠇⢴⡨⠀⠁⠔⢀⠀⣸⠀⢸⠀⠀⣿⣿⣶⣤⣦⣷⣿ ⠀⠀⠀⣿⣿⢸⠀⡆⠀⡀⡠⣢⠑⡹⠉⠈⠚⡠⠀⠀⢸⠀⠀⣿⢸⠀⠀⠀⠀⡄ ⠀⠀⠀⣿⣿⢸⠀⠁⢄⠒⠉⠉⠉⠈⠒⡸⢀⠀⠀⠀⢀⠀⠀⣿⣻⠘⠀⠀⠀⠀ ⠀⠀⠀⣫⣿⣼⡁⣓⣰⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠈⠀⠀⣿⣿⢸⠀⠀⠀⠏

⠀⠇⣥⠭⠭⠭⠬⡂⣒⡯⢽⣐⣤⠀⠀⠀⠀⠄⣤⣠⢷⢽⠀ ⠀⡽⠈⠂⠒⠐⠀⡉⣀⣿⠒⠤⠠⡀⣀⣀⢀⠀⠤⠂⠐⢏⠀ ⠏⢀⠀⠀⠀⠀⠀⠀⡁⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠈ ⢸⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⢸⠀⠀⠀⠀⠀⠀⠃⡞⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠ ⢨⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠉ ⢹⠀⠀⠀⠀⠉⡟⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡻⣿⠀ ⣦⠚⠒⠄⡤⣶⣴⣿⠤⠒⠙⠉⠉⠉⠋⠚⠖⠤⣡⣎⣦⣿⠀ ⠀⡀⠢⠙⠀⠀⠀⣧⠹⠀⠀⠁⠊⠔⡠⣀⣀⣀⣄⠳⡀⣱⢸ ⠀⠀⠀⢀⢦⠫⠙⡀⣦⠻⠈⣇⠘⠀⠀⠀⠀⠀⠀⡀⠛⡷⢀ ⠀⠀⠀⠀⠀⠀⣀⣄⠲⡛⣿⡻⣿⠛⠉⠉⠈⠋⠞⣴⢛⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣯⣷⣿⣿⡶⣦⢙⠏⠽⣮⣿⢼⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⡀⣄⣦⣺⣒⣒⣒⠒⠄⠠⢀⢡⠀

⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⠸⠃⠟⡿ ⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿ ⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣽⣮ ⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣓⣿⢸ ⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⠠⠀⠀⠀⠀⠀⠀⠀⠀⡄⠽⠯ ⡏⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠡⠀⠀⠀⠀⠀⠀⠀⠀⣇⣾ ⣖⠛⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠃⠀⠘⠀⠀⠀⠀⠀⠀⠀⡄⢶ ⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠆⡐⢕⠑⠀⠀⠀⠀⠀⠁⠿ ⠀⠀⢂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣬⠆⣦⠀⠀⢀⠢⠈⠀⠀⠀⡏⣿ ⠉⠈⠁⣏⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣀⠀⠂⢰⠀⠀⠀⠀⡀⠠⠀⠏⢹⣾ ⠀⠀⠉⡀⣀⡢⢓⠀⠀⠀⠀⠀⠀⠠⣀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠋⣙⡉⢐⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠄⠢⠒⠁⠉⠀⠀⠀⠀⠐⠒⠀⠀⠀⠀⠒⡤⢀⢀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠣⠀⠀⠀⠀⠡⡱⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⡏⢈⠀⠀⠀⠃⠇⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⠁⡐⠀⠀⠀⠀⠀⢰⡰⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀ ⢻⠀⠀⠀⠀⠀⠁⠜⢀⠀⠀⠀⠀⠀⡆⠀⠈⠀⠀⠀⠪⢀⠀⠀⠀⠀⠀⠀⠀ ⣿⠠⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⡎⠹⡑⠠⠀⠀⠀⢀⢸⠀⠀⠀⠀⠀⠀⠀ ⣤⠀⠀⠀⠋⡴⢣⠑⠁⠊⠓⠘⠀⢀⣼⡗⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡏⢠⠀⡙⡰⢀⠀⠀⡀⠃⡌⠀⡀⠢⠒⠒⠂⡠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⣸⠀⡎⡼⠀⠀⠀⠀⠀⡅⢰⢀⡤⠑⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡿⠀⠁⢆⠀⠀⠀⠀⠀⠊⡿⠀⠀⠀⠀⢣⠁⠊⡕⠘⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⣧⠀⡏⠹⠀⠀⠀⠀⢱⢹⢣⢠⠀⠀⠀⡏⡉⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⢻⠀⡆⠙⣴⣞⠀⠀⠀⠀⡇⣾⢠⠀⠀⠀⠀⣹⣸⠀⠁⢴⠢⠈⠀⠀⠀⠀⠀ ⣿⠀⠀⣷⠀⢱⠀⠀⠀⠀⡎⢀⠀⠀⠀⠃⠟⡘⠀⠀⡈⠇⠁⡄⠠⠀⠀⠀⠀ ⣿⠀⠀⡀⢤⡐⠣⠀⠁⠗⢀⠀⠀⠀⠀⡏⣕⠈⠀⠟⢈⡇⠀⡀⣊⠛⠨⠀⠀ ⣿⠀⠀⠀⠀⠀⡁⡋⣠⣆⠙⠉⠁⠂⡤⢁⠋⢼⡗⣿⢠⡇⠀⠀⡀⡢⣸⠑⠀ ⣾⠀⠀⠀⠀⠀⡇⢹⠈⠀⣻⣧⡳⣈⢑⣄⢹⣧⡜⣾⠈⠀⠈⠈⠀⠀⡄⠤⢠ ⢸⠀⠀⠀⠀⠀⡄⣷⣹⣴⠀⢽⢳⣌⠱⠣⣧⡄⠻⣰⠀⠀⢹⠄⠐⠀⠀⠀⠀ ⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣥⠘⣆⣿⠎⣿⠉⠈⡔⢱⠏⠛⢃⠀⠀⠀ ⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡡⡪⣏⠇⣿⣿⢻⢛⡄⣢⣞⣿⠐⠀⠀ ⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡱⡴⢳⣿⣟⡌⢦⢟⣕⣩⠐⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡔⣾⣷⣷⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣵⣵⠒⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣲⣾⣷⣿⣿⣿⣿⣿⠖⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠒⠾⣿⣿⣿⣿⣾⣷⣦⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣴⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⡆⠀⠃⠀⠀⠀⠀⢠⡀⠀⠀⣤⠀⠀⠀⠀⠀⠂⢀⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣖⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣂⡀⠀⠀⠀⠀⢸⣷⣤⣴⣿⠂⠀⠀⠀⠀⣠⣮⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣦⣂⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⣿⡿⣿⣟⣿⡛⢿⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⡀⢘⣿⣿⣿⡇⢀⣀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣏⢿⣿⣿⠟⠿⣹⣿⠿⣿⣦⣀⠀⠀⠀ ⠀⣴⡿⠋⠀⢸⠎⠙⠇⠙⣮⢹⡟⡟⢛⣻⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⢿⣿⡿⡫⠛⢾⣟⣣⠋⠁⠃⠉⢶⠀⠈⠻⣦⠀⠀ ⢰⠏⠀⠀⠀⢫⠀⠀⠘⠚⠍⢿⣿⡶⠻⠛⠏⡍⠙⡖⡟⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⡇⡏⠉⠏⠛⢻⢢⣾⣿⠋⠛⠒⠀⠀⠸⠀⠀⠀⠈⢇⠀ ⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣉⠈⠀⠀⢃⡴⠿⠗⣸⣼⡿⢿⡿⣿⣿⣿⣿⣿⣿⡿⠿⣿⡿⡰⠷⠷⣌⠂⠀⠀⢀⣉⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠁⠀⠀⢠⠃⠀⠠⠴⢻⣿⠛⡠⠽⣞⢿⣿⣿⣯⡿⠤⡙⢮⡿⠦⠤⠀⠈⢇⠀⠀⠀⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠈⢄⠀⠀⢐⠼⢵⠀⠃⠀⠌⣿⣿⣿⡃⡄⠀⠃⢨⠷⣆⠀⠀⢀⠎⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠃⠀⠀⡿⠛⣿⡛⠣⡇⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⢻⠉⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠹⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠈⠳⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣏⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⢀⡤⠤⡤⡀⠀⠀⠀⡠⠊⡟⠚⠉⠙⣆⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⡎⠀⡇⠉⣷⠀⠀⢰⠃⠀⣇⠀⠀⠀⣸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⣇⠀⠈⠉⢹⠀⠀⠘⡄⠀⠈⠉⠓⢊⡏⠀⢀⠇⠀⡠⠖⠉⠉⠉⡇ ⠣⣄⠈⠓⠒⠒⠑⠒⠒⠂⠈⠓⠒⠒⠒⠁⢀⡠⠋⠀⢀⠇⠀⠀⠀⠀⡇ ⠀⠀⠑⠢⣄⠀⠀⠀⠀⠀⠀⢀⣀⡠⠶⣋⡁⠀⠀⠀⠈⠄⠀⠀⠀⡼⠀ ⠀⠀⠀⠀⢸⠉⠁⠉⠉⠉⠉⠀⠀⠀⠀⠀⠈⠑⢄⠀⠀⢡⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⢱⠀⡜⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢠⠀⠀⢸⠁⠀⠀⠀⡼⠔⠁⠀⠀⣸⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⡏⢹⠀⠀⢸⣀⠤⠞⠀⠀⠀⠀⡇⠀⠀⠀⡔⠃⠀⠀ ⠀⠀⠀⠀⠸⣀⣀⠇⢸⣀⣀⣸⠧⠤⠤⠔⠒⠒⠒⠓⠒⠉⠁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⢀⣀⣀⣠⣤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠛⠛⠋⠉⠉⠛⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⣀⣤⣶⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀ ⠀⣠⣶⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀ ⢸⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀ ⢸⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀ ⠀⠙⠿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀ ⠀⠀⠀⠀⠉⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣦⣤⣤⣄⣀⣀⣤⡇⠐ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠈⠉⠉⠙⠛⠉⠀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠀

⠀⠀⠀⠀⢠⡔⠒⠀⠒⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠋⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣦⣆⠀⢰⠦⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠞⠉⠙⠈⡆⠀⠀⠀⠀⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠒⠒⠒⠒⠧⡀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠈⠑⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡰⠁⠀⠀⠀⢀⠀⠀⠀⠈⠑⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠄⣉⠲⢄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠑⠦⣈⠑⠦⣀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠈⠑⣆⡀⠉⠑⡆ ⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠑⠂⠤⠀⠠⠤⠤⠄⠊⣁⡀⠤⠚⠁ ⠀⠀⢀⡼⡄⠀⠉⣢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠴⠒⠉⠁⠀⠀⠀⠀ ⠀⠀⠈⠻⡧⠒⠉⠈⠀⡅⡏⠈⢃⡾⠞⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣼⡠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

͞ںل ̶͞ ̶͞ ̶͞ ͞Ɑ ⠀⠀⠀⠈⡀⢦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢀⠀⠀⠀ ⠀⠀⠀⠘⠀⠀⡀⠢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⢸⠀⠀⠀⠏⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⡼⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠸⠀⠀⠃⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⢣⠈⠐⠒⠐⠀⠀⠀⠀⠀⡇⠸⠀⠁⣻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠋⢰⠀⡀⡇⠐⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⡆⣿⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡇⢠⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⢸⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡗⠀⠀⠀⡜⢀⠀⠁⠈⠀⠀⠀⠀⠀⠀⢸⠀⠀⣇⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠀⠀⠁⢰⠀⠀⠀⣄⠙⠀⠀⠀⠀⡀⢠⠀⠀⡄⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠇⢠⠀⠀⡇⠀⠀⠀⠀⠀⡀⢤⠑⠀⠀⠀⠀⠀⠐⠀⣾⠸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡼⠀⠀⠀⡽⠉⠒⠒⠒⠉⠈⠀⠀⠀⠀⠀⠀⠀⠁⠉⢻⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠃⢠⠀⠁⡴⣀⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⠋⠴⣠⢀⠀⠀⣀⢤⠑⠀⠀ ⠀⠀⠀⠀⣾⠀⠁⣰⠀⠀⠀⠂⠀⠀⠀⠀⠀⡀⠸⠀⠀⠀⠀⠀⠀⠀⠁⠀⡀⢷⠀ ⠀⠀⠀⠇⢀⠀⡇⠀⠀⠵⢀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⢀⠄⠛⡀⢸ ⠀⠀⠀⡸⠀⠀⡄⠘⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⡂⣠⠇⢠ ⠀⠀⡎⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⣠⠀ ⠀⠇⢠⠀⠀⠀⠀⡀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡤⠘⠀⠀ ⠃⡼⠀⠀⠀⠀⡀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⢸⠀⠀ ⡆⢹⠀⠀⠀⠀⠀⠀⠀⠧⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢻⠀⠀ ⠀⡄⠑⠀⠀⠀⠀⠀⠀⡀⣧⠉⠉⠉⠉⠉⠐⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠋⢠⠀⠀ ⠀⠀⠀⣀⠯⠿⠛⡈⣀⣀⣀⢻⠀⠀⠀⠀⠀⠀⠀⣀⣀⣁⢞⠓⠔⠾⡠⢀⠀⠀⠀ ⠀⠀⠀⡞⢏⣎⣇⣀⢯⠑⠀⣿⠀⠀⠀⠀⠀⠟⠊⠟⡼⢀⠋⣠⠎⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣼⢰⡇⠀⢸⡞⢣⣼⠀⠀⠀⠀⡇⣹⠈⠷⢀⠟⢳⠏⢠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢇⣿⠀⡀⠸⢻⢸⡇⢀⠀⠁⠖⡠⢀⠀⡀⢄⡶⣟⡀⡼⠳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣷⠸⠀⢇⡆⢘⡇⠀⡤⢀⠀⠀⠂⠒⠶⠰⠈⡀⢦⢻⠀⢦⠈⠀⠀⠀⠀ ⠀⠀⠀⠠⠀⣧⠈⡀⢹⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⡁⢸⠀⠀⡄⠘⠀⢇⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⢸⠀⣇⡽⣴⠘⠀⠐⠛⠛⠐⠀⠀⠀⣀⣻⢟⠉⣏⠹⠀⢱⠀⠀⠀ ⠀⠀⠐⠀⠀⠀⡇⠛⣹⡇⠀⢣⠋⠸⣷⢼⢱⠛⠀⠀⠀⡦⣶⡛⣾⡇⠸⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⣿⠈⣿⠀⡅⣹⣤⢿⣶⣤⢀⠙⠘⠀⠆⠓⡟⣾⣠⢳⡄⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⢸⣄⣧⠈⠀⣆⣸⡿⠢⠶⣤⣠⠀⠀⠋⡳⣰⠀⠀⡎⠇⢾⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢰⠀⠀⡄⣗⠘⠀⠀⠉⠚⡥⢚⣠⠀⠀⠁⢸⡞⢠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣆⠈⠀⠀⠀⠀⠀⡀⢦⠤⣠⢀⠴⣠⠀⠀⠀⠀⡥⡞⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣆⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⣠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠳⠉⠈⠀⠀⠀⠀⠀⠁⠉⠚⠴⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣄⠤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣶⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠖⢂⣽⣿⣿⣷⣔⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟ ⠀⠀⠀⠀⣀⣤⡶⢿⣋⣥⣤⣶⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⡀⢀⣠⣾⠿⠋⠀ ⠀⢀⣴⣿⠟⠉⠀⠀⠀⠈⠉⠛⠻⣿⣿⣿⣿⡿⠛⠋⠉⣀⣤⠶⠟⠋⠁⠀⠀⠀ ⢰⣿⡟⠁⠀⠀⠀⣷⠀⠀⠀⠀⠀⠈⣿⣿⣟⣀⡤⠖⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠿⣧⣀⡠⠤⢾⣿⣷⠤⠄⠀⠀⠀⢹⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠀⠀⠀⡿⠁⠀⠀⠀⠀⠀⠈⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠶⠦⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠋⠞⠦⠶⠙⠀⠀⠀⠀⠀⠀⠀⡇⠀⠐⠅⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡆⠙⠑⠫⣸⠳⠈⠀⠀⠀⠀⠀⣸⡆⣍⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⣦⢻⡶⠘⢦⠀⠀⠀⠀⠊⠖⡗⠈⠀⡀⠢⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠂⢀⠀⡇⣠⣀⣀⠄⡸⠀⠀⠀⢀⠢⠈⠠⡀⠄⠐⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⢠⠦⠩⢠⠀⠀⠀⠀⠔⠘⠀⠀⠀⠀⡀⠡⠀⠀⠀⢀⠁⠀⠀⠀ ⠀⠀⠊⢀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣳⣉⠈⠀⠀⠀⡀⠠⠀⠀⠀⠀⢄⠈⠀ ⠀⠎⠀⠀⠀⠀⡆⠀⠀⠀⠁⡔⢀⣤⢀⡀⠠⠙⠈⠀⠀⢄⠂⠈⠀⠀⡀⠡ ⠀⢠⠀⠀⠀⠂⢠⠀⠀⠋⡠⠀⠁⠀⠀⠁⡀⢱⡀⢄⠠⠐⠉⡀⠀⠀⠀⡇ ⠇⠀⠀⠀⠎⢀⠀⠊⡩⠗⠴⠠⠀⠀⠀⢀⠀⡁⢣⠀⢡⠀⠀⡀⢀⠤⠤⢀ ⠸⠀⠀⠀⠀⠊⡠⢀⡆⠎⠛⠀⠛⠈⠀⠁⡿⣳⡁⢡⡄⠈⠀⠀⠀⠀⠀⠀ ⢆⠑⠈⠖⣠⠀⠀⠀⠇⢀⡄⠂⣆⠇⠚⡆⡏⠉⡿⠩⠹⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠉⠧⡈⡜⢉⠕⣋⣆⢿⣼⣽⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡏⣴⣸⠀⠀⡀⢣⣧⢘⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢹⢻⠻⠟⡿⣿⢿⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢯⡆⣷⣿⡀⣧⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠹⢀⠀⠀⡀⠊⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠤⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀