Cinnamoroll ASCII Art

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