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⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⠦⠼⠃⠀⠀⠀⠀⡠⠖⠚⠒⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡫⡤⠀⠀⡤⡧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⠔⠊⣉⣭⣶⣶⣷⣶⣦⡀⠀⢀⡴⠋⠀⠀⣠⠴⢤⡀ ⠀⠀⠀⠀⠀⠸⠥⢟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡰⠋⠀⠀⠀⠀⣇⠶⣧⠇ ⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣟⣿⣟⣿⣽⣿⣿⡧⡄⠀⠀⠀⠀⠈⠉⠁⠀ ⠠⠦⢠⠖⠂⣾⣿⣿⣿⣿⣻⣷⢿⢿⣿⣿⣿⣿⠇⠙⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⣔⠳⣂⡤⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⣁⠀⠀⠛⠿⣿⣿⣿⣿⣿⡿⠿⠃⣸⠏⠃⢀⡯⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠊⠉⠉⠀⡜⠀⠀⠰⡗⣋⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⣇⡶⡀⠆⣰⠏⠀⠀⠘⣧⡵⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⡿⠋⢿⣿⣿⣿⣟⠋⠛⠛⠛⠻⢿⣿⣦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡿⠻⣿⣿⣷⠈⣿⣿⡿⢿⣷⣄⠀⠀⠀⠀⠈⠑⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠃⠀⠻⣿⣿⡆⠹⣿⣧⠀⠙⠻⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⢹⣿⣇⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣦⣤⣦⣶⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣾⣋⣤⣼⡿⣿⣿⣿⣽⣿⣿⣿⣶⣶⣶⣦⣤⣤⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⣟⢉⣾⣿⠻⣿⠇⣅⣻⢿⡿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣶⣤⡀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⢋⠁⢠⣿⣟⠀⣰⠫⠙⡎⠉⢏⡻⣿⣿⣿⣿⣿⣿⣿⣬⣾⣿⡿⣿⣿⣿⡀ ⠀⠀⠀⠀⠀⢀⣾⣿⠀⠀⠚⠻⡿⠀⠋⠀⠠⠛⢦⣀⢱⡌⢻⣿⣄⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⠀⠀⠀⢀⣠⣿⣿⣿⣦⣽⠦⠀⣿⠀⠀⠀⢹⠀⠘⣿⡮⣹⣮⠻⣿⣆⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣠⡾⠋⠉⢻⡿⠃⠠⠀⠀⠿⠀⡰⡄⠀⡀⠀⢻⣿⣿⣿⣧⡌⢿⣿⣿⣿⣯⣿⣿⣿⣿⣿⠃ ⠀⣼⡏⠀⠀⠀⢘⠀⠀⠀⠀⠈⠀⢀⣅⢻⡀⢀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⢸⡏⠀⠀⡀⠀⠸⠇⠀⠀⠃⣜⣷⢸⣾⣿⣧⢘⡆⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⠛⣿⣿⠇⠀ ⢸⠀⢀⠁⠀⠀⠀⠀⠀⠀⢸⢷⢸⢸⣿⣿⣿⡿⣷⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠿⠃⠀⠀ ⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⢈⡋⠊⣸⣿⣿⣿⣿⢿⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⡾⠁⠀⠀⠀⠀⠀ ⠀⠹⣷⣄⣠⣤⣀⠀⠀⠀⠿⠇⣘⠻⣿⣿⣿⣿⠟⠀⠀⠘⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠙⠋⠙⢻⣧⣀⠀⠀⣴⣯⣤⣿⣿⣿⡟⠀⣀⣴⡿⠋⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠛⠉⠙⠛⠿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣬⣷⣤⡀⣄⣀⣀⣀⣀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡟⠉⣹⡝⣛⡌⡽⣠⣌⣛⣽⣿⡿⡟⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣎⡏⣾⡿⠷⡈⢹⣱⣾⣹⣿⣿⣿⣿⡷⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣻⣶⣖⣾⠿⠶⢾⢥⣶⣿⣿⣿⣿⣿⣿⠿⠟⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣽⣽⣿⣿⣿⣿⢿⣿⣿⣿⣽⣿⣯⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⡿⠿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠚⣟⣻⣿⣿⣿⡿⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⣯⣿⣿⣿⣿⣿⣿⠿⠿⠟⠛⠛⠋⢉⣿⣿⣿⣿⡿⠻⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⢰⣿⡿⣟⢫⠡⢌⠀⠀⠀⠁⠠⣀⠐⠀⠀⠄⢂⠀⠀⠒⠒⠒⠀⢒⣒⠐⡬⠤ ⠀⠀⠀⠀⠀⠀⢈⡷⣿⣿⣿⡜⢁⠀⠀⠀⠀⠀⠀⠀⢰⡫⣯⣟⡸⠁⠤⠀⠩⠄⢤⠗⠓⠓⠪⠍⠓⡩⣭⡄⠄⢀⠒⠀⠀⢆⠶⠾⠟⡹ ⣀⠀⠀⠀⠀⠀⠊⠛⠟⠻⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⢾⡫⠾⣀⠀⠀⠈⠁⠀⢀⠒⠃⠤⠀⡂⠷⠄⢠⡠⣴⡥⠖⠤⠤⠀⠀⠄⢂⣒ ⠭⠭⢹⡒⢒⠒⢒⢒⣲⠒⠒⢒⡢⠔⣲⣶⠒⢶⠺⠯⢟⣛⣿⣿⣿⣿⣿⣿⣻⣿⣛⣻⠭⣝⣍⡐⡯⡋⠍⠋⠕⠛⠚⠋⠉⠛⠙⠥⠾⠟ ⢬⣹⠷⠭⠗⠀⠀⠀⣀⠉⠈⠉⠉⣉⢅⠄⡠⢭⡭⠥⠈⠉⠺⢘⠶⡚⡛⠗⠋⠍⠸⠿⠗⠒⠒⠠⠤⠤⣬⢴⡶⠶⣚⣗⣓⣂⡞⡽⣥⠶

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣾⣿⣿⣿⣿⣷⣦⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⡿⠿⠛⠋⠉⢉⣽⣿⣿⣿⣆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⣰⣿⣿⡿⢻⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⣾⣿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⣸⣿⣿⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⢰⣿⣿⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⢠⣿⣿⡟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣤⣤⣤⣤⣤⣼⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⠿⠿⠿⠿⠿⠿⣿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣿⣿⣿⣦⣄⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⣶⣄⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⢻⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⣿⡟⢿⣿⣿⣆⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⣿⣿⠏⠀⠀⠙⣿⣿⣷⡀⣠⣾⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⠋⠀⠀⠀⠀⠈⢿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⣿⠇⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⣿⡏⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⡿⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡇⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣧⣾⣿⣿⠟⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣿⣿⣿⣟⣁⣀⣠⣤⣴⣾⣿⣿⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠻⠿⣿⣿⣿⣿⡿⠿⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⣶⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠗⡿⣾⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠓⡞⢩⣯⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠰⡹⠁⢰⠃⣩⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣿⠿⣉⣩⠛⠲⢶⡠⢄⠐⣣⠃⣰⠗⠋⢀⣯⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣯⣠⠬⠦⢤⣀⠈⠓⢽⣾⢔⣡⡴⠞⠻⠙⢳⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣵⣳⠖⠉⠉⢉⣩⣵⣿⣿⣒⢤⣴⠤⠽⣬⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⣟⠟⠋⢡⡎⢿⢿⠳⡕⢤⡉⡷⡽⠁ ⣧⢮⢭⠛⢲⣦⣀⠀⠀⠀⠠⡀⠀⠀⠀⡾⣥⣏⣖⡟⠸⢺⠀⠀⠈⠙⠋⠁⠀⠀ ⠈⠻⣶⡛⠲⣄⠀⠙⠢⣀⠀⢇⠀⠀⠀⠘⠿⣯⣮⢦⠶⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⣿⣥⡬⠽⠶⠤⣌⣣⣼⡔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⣧⣤⡴⢤⡴⣶⣿⣟⢯⡙⠒⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣗⣞⣢⡟⢋⢜⣿⠛⡿⡄⢻⡮⣄⠈⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠻⠮⠴⠵⢋⣇⡇⣷⢳⡀⢱⡈⢋⠛⣄⣹⣲⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣱⡇⣦⢾⣾⠿⠟⠿⠷⠷⣻⠧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠽⠞⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣆⣵⡿⡮⣎⡲⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠊⠁⠉⠳⣄⠶⠏⠉⠉⠻⡆⢠⠎⡸⠉⠉⠉⠉⠁⠂⠐ ⠀⠀⠀⢊⡧⠏⡆⡦⢽⢻⡏⣽⣧⡏⣆⢂⠀⠀⠀⠀⠀⠸⡀⠀⠀⠉⠁⠉⠁⠣⠀⡀⡄⣡⣄⣄⣄⣤⣀⣀⠀⠀⠀⠁⠁⠒⠒⠋⢉⠑ ⠀⠀⠐⡸⣇⣍⣏⣊⣕⡽⡡⡛⣻⣿⡃⠀⠂⠀⡠⠂⠂⠉⠁⠀⠀⠀⠀⡠⣶⡟⡁⠂⠁⠹⠎⠀⠀⠈⠉⠝⣷⠄⠀⠀⠠⡰⢖⠫⢅⡁ ⠀⠀⠀⠀⠹⣵⠿⣿⡏⡗⣿⣯⡏⠃⠀⡂⠀⠀⡹⠀⠀⠀⠀⡤⠃⠀⡠⠛⣅⣀⣀⣀⠀⣠⠀⠄⡔⠥⡍⣃⣅⣽⣓⡶⠋⠤⡤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠀⠁⠉⠈⠀⠉⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠈⠀⠀⠘⠀⡀⠔⠃⠁⠁⠀⢤⣶⣲⡶⠶⠾⠟⣗⣥⣀⡄⠀⠙⣆ ⠀⠀⠀⡄⠄⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠄⠀⠀⢀⢄⣺⡟⡷⡊⠀⠁⠀⣀⢹⠁⠀⣿⣿⣇⠀⠀ ⠀⢠⠊⠁⠀⠀⠀⠀⠣⠁⠂⠂⠂⠄⠤⡀⠀⠀⠀⠀⠀⠀⠀⡊⠍⣓⡾⠹⣢⠀⠀⠀⢎⡟⠁⠀⠀⠀⢠⠀⠀⡉⠋⠀⠀⠀⠉⠿⡇⠀ ⠀⠙⠄⠤⠄⠢⠠⠤⢄⣀⣀⡀⡀⠄⠤⠂⠊⠀⠀⠀⠀⠀⠀⠑⠡⠅⠇⠒⠁⠀⠀⣤⣿⣠⡆⣄⡀⠀⠀⢀⢭⠍⠀⠀⠀⠀⠀⠀⠹⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⡀⠀⠀⠀⠀⠨⡿⡊⠀⣐⡓⠁⠀⠀⢼⣟⠁⠀⠀⠀⠀⠀⠀⠀⠹ ⠀⠀⠀⠀⠀⡀⠄⣒⡠⠀⡆⡀⢤⠂⠖⠂⠄⡮⠴⠱⠉⠊⠧⠯⠂⠟⠘⠏⢻⠫⠣⣀⡣⢁⢠⡀⡀⡀⠀⠇⡯⠀⠄⠄⠀⡀⠀⠀⠀⠀ ⠀⢀⡠⡊⡉⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠂⡡⠃⠋⠃⠀⠀⠀⠀⠁⠀⠀ ⠁⠰⠋⠀⡳⠇⠈⠁⠐⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⠀⠀⠀⡠⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⢒⣝⡔⢄⡀⡠⢤⡤⣀⠀⠀⠀ ⠀⣄⠀⠄⢘⠀⠀⠀⢀⡐⠛⠄⠀⠣⠤⠴⠚⠋⠓⠒⣣⢪⠒⠁⠀⠀⠉⠁⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⢐⣇⠀⠀⠀⠀⠀⠀⠒⠁⠀⠀ ⠀⠀⠈⠁⠥⢂⠀⡤⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⡴⡅⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡀⠀⠀⠀⠉⡮⠁⠀⠀⠀⠀⠐⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡐⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠈⣜⣒⡀⠀⠀⠀⠀⡁⠀⠀⠀⠀ ⠀⠀⠀⠠⠀⠐⠀⠀⠐⠀⠁⠀⠀⠀⠀⠀⠀⡄⠒⠐⠂⠂⠢⠄⠄⠄⠤⠂⠉⠁⠀⠀⠉⠂⠄⡀⠀⠀⠌⣍⡄⡀⠄⠐⠀⠒⠒⠒⠀⠀ ⠀⠆⠁⠀⠀⠀⠀⠉⠂⠤⠠⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠊⡯⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠐⠒⠀⡤⠄⠇⣑⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⣔⠤⠄⠵⠌⠄⠌⣈⠄⠔⠉⠋⠉⠑⢱⠉⠚⠂⡆⡄⠀⠀⠀⠀ ⠀⢀⠄⠒⡆⡠⠤⠆⠋⠁⠁⠈⠂⠂⠙⡂⠂⠁⠉⠁⠓⡉⡀⠄⠄⠓⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠉⠄⠀⠀⠀⡀⠀⠀⠁⠉⠀ ⠉⠈⠅⠁⠀⠂⠐⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⡀⠀⠀⠀⠀⠂⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⡀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠂⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠄⠀⠀ ⠀⠐⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠄⠂⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠠⠃⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠀⠀⠀⠀⠀⠀⠀⠒⠒⠢⠤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀⣠⣴⠒⠯⠭⠭⡭⠽⢲⣒⣢⡤⣀⠀⣀⣠⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⣠⣾⣿⣗⡈⠉⢀⣀⠈⠉⠁⠒⠒⠯⢽⣻⢿⣿⣿⣿⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⣴⣒⣢⣿⣿⣯⣿⣿⣦⣀⡀⠉⠑⠒⠒⠤⣀⠀⠀⠉⠺⢝⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠻⠿⣿⣿⡿⠟⠛⠛⢿⣮⣟⡂⠀⣀⠀⠀⠀⠙⠳⢠⣀⠀⠉⠺⣝⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠉⠑⠲⢤⡀⠙⣷⡒⠲⢬⣳⣌⠻⣦⣄⡀⠈⠉⠲⠤⣌⠃⢱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣬⣿⡄⠀⢹⣿⣷⣮⣿⣿⣷⣤⣄⡀⠈⠳⣄⠸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⡿⣶⣄⠻⣿⢿⣿⣿⣿⣿⣿⣿⣶⣀⠘⢳⡹⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣾⠀⠉⠙⠛⠿⣿⣿⣿⣿⣦⠀⡵⡘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡙⠦⣀⠀⠀⠀⠉⠻⣿⣿⣧⠹⡅⣱⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣧⠀⠀⠉⠒⢶⣦⣤⣜⣿⣿⣧⡘⣿⡆⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈⠉⢿⢿⣿⣿⣿⣿⣞⡇⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠊⣿⣿⣿⣿⣿⣿⡄⠀⡠⠒⠀⣠⠏⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣀⣤⣤⣠⣤⣤⣤⣀⣀⡀⠀⠀⠳⡀⠀⠀⠀⠀⢀⠀⠀⡀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠃⠀⢀⠹⣿⠹⠟⠿⠿⡧⠀⠠⠠⠼⢛⡾⠋⠀⠀⠀⠀⠀⠀⡀⠀⠀⣀⣀ ⣩⠻⠿⠿⠿⢿⣟⣛⢭⣭⣭⣭⣉⣛⣓⠻⠿⠽⣾⣝⣛⡻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣾⣯⣿⣿⣿⣿⣿⣿⣶⣒⣓⣚⣺⣥⣼⡶⠶⣒⣒⣚⣛⣛⣛⣛⣛⣛⣛⣛ ⠀⠉⠉⠉⠉⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠓⠒⠉⠉⠉⠛⠛⠿⠿⢿⣟⣻⠿⠿⣟⡋⠐⠒⠒⠚⠛⠛⠉⠙⠛⠋⠉⠉⠉⠁⠤⠴⠒⠒⠋⠉⠉⣩⣤⣤⣤⣤⠽⠶⠾⠷⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⢠⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⣠⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢊⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⢰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣟⡻⢿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣭⣓⠮⣝⡻⢿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⠶⠶⠾⠷⠶⢦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣴⣦⡿⣧⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣞⡹⢲⡍⡗⢮⣹⣏⠻⢷⣶⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠈⠉⠛⠳⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣧⢻⣱⢚⣭⢳⡥⣻⢷⡂⢦⡙⢛⠿⣶⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⠁⠀⠀⠀⣀⣠⣤⣶⣶⣶⣦⣤⣄⣀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡳⡬⢏⡖⢯⡞⣥⢻⡯⠰⣌⣣⣾⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⠁⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠈⢣⡀⠀⠀⢀⠀⠐⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣧⡀⠀⠀⠀⠀⠀⠀⠘⣿⣷⡝⡺⣜⠳⣜⢎⢿⣧⣳⣿⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣟⣿⡏⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠙⣄⠀⠀⠀⠀⠀⠂⠍⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀⠀⠙⣷⡄⠀⠀⠀⠀⠀⠀⣿⣿⡜⢧⢭⡛⡼⢎⣷⡿⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⣿⢯⡷⢾⣿⡇⡁⠀⠀⠀⠀⣸⡟⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠈⠣⡀⠀⠈⡄⠀⠀⠀⠀⣰⡦⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣄⡘⣿⡀⠀⠀⠀⠀⠀⢻⣿⡞⡭⢶⣹⣽⡿⠏⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⣟⣾⣫⣽⣻⣿⠅⠀⠀⠀⠀⢀⣿⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠙⢦⡀⠈⢆⠀⠀⢀⡿⠀⠀⠀⢹⣷⣦⣤⣀⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠉⠛⠻⣷⠀⠀⠀⠀⠀⢸⣿⡽⣜⣷⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣠⣾⣟⡳⢺⣿⢶⣻⣼⢻⣿⡆⠀⠀⠀⠀⢸⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢱⣄⠈⢧⠀⢸⡇⠀⠀⠀⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⡄⠀⠀⠀⠀⢸⣿⣷⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣿⣻⠳⣬⠳⣿⣯⢿⣱⢯⣟⣿⡇⠀⠀⠀⠀⢸⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⢸⣇⡑⠄⠃⢸⡃⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣿⡇⠂⠀⠀⠀⣻⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠛⠿⣿⣶⣛⡼⣿⢯⣯⢟⡾⣿⣧⠀⠀⠀⠀⢸⡇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⡇⠃⠀⠀⢸⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⣿⠃⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠿⣿⣿⣼⢯⣻⢿⣿⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣿⠀⠁⠀⠀⠈⣷⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⢠⣿⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⡇⠀⠀⠀⠀⠹⣧⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⢹⣦⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⣾⠃⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⡀⠀⠀⠀⠀⠹⣧⠀⠀⠀⠀⠉⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⠀⠀⢹⣆⡀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠀⠀⣙⣷⣀⠀⠀⠀⠀⠈⠙⠻⠿⢿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣠⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⢀⣴⣿⡃⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⢹⣿⣯⢟⣳⡟⣾⣳⢯⣯⢷⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡽⣞⡽⣿⠇⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣝⣿⡿⢷⠿⡷⢿⣿⡾⣽⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⣻⣭⢿⣿⢰⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⢶⣄⠐⠸⢿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣳⣿⡿⢃⡿⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⠮⠶⠼⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣻⣽⠶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⣄⣄⣠⣀⣀⣄⣠⣀⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠋⠙⠉⠋⠙⠙⠉⠋⠛⠙⠋⠛⠙⠛⠋⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠈⠀⠀⠀⠀⢀⠀⠀⠀⠂⢆⡏⡀⠔⢐⠰⣴⠠⣤⣢⡦⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣤⡟⠓⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⣫⢏⡀⠰⠥⠄⠀⠈⠉⠉⠁⠁⠀⠤⣞⣄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠷⠔⢢⣤⠄⢄⣀ ⠀⠀⠀⠀⠀⠓⠀⠀⠀⢀⠄⡫⢯⡦⣾⣿⢃⠂⠀⠀⠀⠀⠀⠀⠀⠈⡹⡗⣺⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀ ⠢⠄⡄⣀⢀⡖⠖⠶⠾⠋⠁⠀⢲⠄⠀⠁⠃⠛⠟⠏⠚⠛⠓⠛⠃⠛⡳⠋⠉⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠨⠂⠀⠀⠀⠀⠀⠀⠱⠀⠈⠄⠀⠄⠒⠉⠀⡀⠀⠐⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠃⠀⠀⣀⣎⠅⠃⠭⠽⣯⣫⡇⠤⡥⠄⠁⠐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣱⠅⢊⠉⠉⠀⠀⠀⠀⠨⢂⠀⠠⣎⡥⢊⡊⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠒⠊⡪⠞⢊⠖⠙⠱⠷ ⠀⠀⠀⠀⠀⠧⢌⡁⠶⠇⠂⠂⠤⠤⠦⠂⠅⢖⠤⠄⠕⢣⠀⢙⢂⢄⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⢰⠥⠧⠬⠄⠀⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡁⠀⠀⠀⠀⠀⠁⡠⠨⠁⡀⠃⡀⠀⠀⠀⠀⠠⠇⡁⣉⢉⠏⣋⡗⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠂⠀⢀⠀⠀⠀⠀⠀⠀⠄⠀⠈⠀⠀⠁⠀⠀⠀⠀⠄⠄⠂⠒⡈⠀⠀⠀⠀⠀⠀⠀⠀⠓⠁⠉⠈⠑⣅⡿⠟⠯⠒⠼ ⠉⠩⠛⠋⣖⣦⠄⠀⠠⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠊⠁⠀⠀⠀⠀⠀⠀⠀⡀⠁⠀⠧⠄⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠉⠠⣊⡣⠭⡽⣿⣇⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡀⠀⠀⠀⠀⠀⡠⣴⠠⠤⡐⠟⠙⠋⠋⠒⠂⠀⠈⠉⢃⣄⡀⠀⠀⠀⠀⠀ ⣬⡶⠄⠀⠀⠀⠀⠉⢌⡙⡭⡶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠅⠠⠀⠀⠀⠀⢈⢉⠡⡶⡶⠭⠄⠂⠀⠀⠀⠀⠀⡀⠽⠿⡖⣂⠣⠦⠀⠀⠀ ⠅⡉⡓⣆⣖⣦⢥⡡⣁⣀⣉⣠⣏⠆⠀⠀⠀⠀⠀⠀⠀⠀⠂⠈⠄⠁⠫⢕⡲⠆⠀⠈⡀⠀⠐⠀⠤⣄⣅⢔⡺⡗⠻⠌⡌⡷⠤⠄⠀⠀ ⠁⠀⠀⠀⠀⠀⠁⠁⠉⠁⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠈⠓⠑⠙⠃⠛⠛⢏⢛⠗⠥⠧⠤⡡⠅⠦⠦⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠁⠀⠀⡀⠀⠀⠈⠀⠀⠀⠂⠀⠀⠈⣀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠈⡢⣯⠧⡄⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠨⣿⡾⡻⡝⣄⠀⠀⠀⠀⠀⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠈⡇⠀⠈⠂⠀⠀⠀⠀⠀⠀⡺⠧⡉⡇⠜⡙⣆⠀⠀⠀⠀⠈⠀⠀ ⠏⠋⠉⠋⠃⠁⠋⠓⠙⠛⠛⡓⠿⠟⠟⠢⢖⢒⡆⠶⠦⠆⠾⢝⡋⣋⡋⡋⠗⠶⡛⡛⢳⠖⠖⠚⡿⠿⠟⣯⠟⠓⠒⠴⠢⠶⠢⠤⠤⡐ ⠀⢀⡀⣀⠀⡀⠀⠀⠀⠀⠀⠈⢄⠀⠀⠄⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠠⠆⠀⠀⠀⢤⣔⣒⢋⠁⣿⠰⠛⠛⠘⠋⣙⡉⣊⣀⠊⡁⡁⠉ ⠀⠀⠀⠉⠉⠉⡃⣁⠇⡀⡃⡐⠁⡕⡅⠚⠖⡈⠜⡯⡷⠿⡯⠙⠙⠏⠌⡏⡙⠖⠯⣏⣯⣿⣯⣿⣿⡗⣧⡷⣿⣯⣭⡅⠀⠀⠀⠀⠀⠀ ⠀⠀⠪⠅⠡⠁⠍⠉⠅⠁⠅⠏⢆⢌⠢⠤⠆⡂⡆⠭⡤⠽⢺⡱⢎⢥⣓⡉⣑⠈⠋⠍⠇⠓⡻⢛⠟⡽⠟⠟⠻⠇⠠⡢⡠⣀⡀⠀⠀⠀ ⠀⠀⠀⠐⡒⠂⡂⠔⠄⠂⡂⡀⠡⣄⡊⡆⢒⢐⡲⠖⣤⠖⠦⠺⠺⠫⠶⢏⡧⣥⡀⠋⡄⣄⡉⡁⠁⡁⢀⠂⠀⡂⡄⠀⡄⠠⡀⠄⠀⠀ ⠀⠀⠀⠀⡀⡀⠄⠄⠊⠂⠀⠁⠈⠁⠀⢁⢠⠈⠄⠀⠍⠋⠙⠿⠯⣷⣦⣤⡤⠤⠍⡠⠰⢔⣧⡭⠁⠌⠅⠀⠉⠁⠁⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠂⠉⠁⠁⠀⠉⠉⠁⠊⠀⠂⠀⠅⠅⠁⡓⡇⣄⠀

⠀⠀⠀⠀⠀⢠⣶⣶⣿⣿⡟⠛⠛⠛⠛⠛⣿⣿⣷⣶⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣼⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⢷⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢾⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣶⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢸⣿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡇⡀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠈⠛⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡟⠃⡆⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⡀⠀⢤⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣷⡆⢳⡀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⡟⣿⡿⠿⠟⠉⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⣿⡇⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢉⣁⣀⣀⣰⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢻⣿⣿⣿⣿⣿⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣹⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⢛⣀⠀⠀⠀⣠⣿⣿⡟⠙⠙⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢹⣿⠿⠀⠀⠀⠀⠀⠀⢰⠖⣀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣷⣶⣿⡟⢹⣇⠈⠁⡺⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣶⣿⠋⠀⡶⠀⠀⠀⠀⠀⢸⣶⣿⣶⣀⡀⢀⣰⣶⣿⣿⠛⣻⣿⣿⣿⣷⣾⣿⣶⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣿⡇⠀⢠⣴⣷⣾⣦⠀⠀⢠⣼⣿⣿⢿⣿⣿⣿⣿⣿⠟⣿⠛⠓⣿⣿⣿⣿⣿⣿⣿⠛⣿⣿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⣷⣍⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠃⠉⠉⠿⣿⣷⣅⠻⣤⣤⣿⡿⠿⣿⣿⠏⠀⠀⠀⣨⠿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⣿⣿⣿⢿⣏⠭⠿⣿⣿⣿⣿⠉⣶⠀⠀⣦⢤⣿⣿⣿⣿⣿⣿⠉⠷⠾⢿⣧⣀⣀⠀⠀⠿⠤⣿⣇⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⣿⣿⣀⠿⠀⣀⣿⣿⣿⣿⣶⣹⣶⣶⣿⣿⣿⣿⣿⠿⣿⣿⣶⣄⣀⡘⢻⣷⣿⣀⠀⠀⢀⣼⣇⣀⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢻⣿⣶⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⡟⠛⣿⣿⣿⣀⣿⠀⣿⣿⡟⢿⣦⠘⠛⣿⣦⣤⣿⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠿⣿⠇⠲⣧⣤⣽⣿⠘⠿⣿⠁⣤⣥⣼⡏⠀⠀⠀⠀⠀⠀⣼⠹⢷⣼⠿⠿⠇⣭⣿⡿⠿⢿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣄⡀⠹⢿⣿⣉⠀⠀⠿⣄⡿⣾⣟⣁⣀⠀⠀⠀⠀⠀⠈⢉⣹⠿⣀⠀⠀⠷⠬⢿⣷⣈⣙⠿⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠛⠚⢿⣇⣴⣿⣿⡿⠀⠀⡶⢻⣷⣾⣿⣆⣹⣀⠀⠀⠀⠀⠀⠸⣤⣤⣿⠀⠀⠀⠀⠘⢻⣦⣘⣶⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⡇⠀⠀⠀⠀⠛⠛⣿⡧⢤⡼⠛⠻⣦⡤⢤⡄⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠘⠛⠛⣿⣦⣄⠀⠀⠀ ⠀⠀⠀⠀⢠⣤⣴⣿⡇⠀⠹⢧⣌⢷⠀⠀⠀⠀⠺⢿⡿⠗⢀⣄⣈⠿⣾⡇⠀⠀⠀⢀⣿⣠⡀⠀⠀⠀⠀⢸⣿⣿⠿⡇⠿⣧⡄⠀ ⠀⠀⠀⠀⠸⢿⣿⣉⣁⡀⠀⠈⠻⣿⣶⣀⠀⠀⠀⢸⣿⣶⣾⣯⣿⣄⣿⣇⣀⣀⢴⣾⠭⠼⠇⠀⠀⠀⠀⢈⣹⣿⣿⠋⠉⢻⣇⡀ ⠀⠀⠀⠀⠀⠠⣿⣿⣿⡇⠀⠀⠀⠸⣆⣻⣷⠀⠀⠘⠛⠃⠈⠛⣛⣿⠛⣿⣻⣿⣾⣿⣶⣶⣶⡄⠀⠀⠀⣸⣿⠛⠛⠀⣴⣿⣯⡇ ⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⣿⠦⢤⡄⠀⠀⢠⣴⣟⣿⠀⠛⢛⢻⣷⠀⠈⠛⣿⡃⠀⠀⢺⣿⣿⣤⠀⠀⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⡿⣦⣼⣿⣷⠀⢀⣤⣿⣤⣾⣿⡇⠀⢸⣿⠀⠀⠀⠀⠹⠮⢿⣿⡀⣠⣿⣏⣿⡇⠀⠉⠉⠉⣤⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠀⠉⠉⠻⢿⣶⢾⣿⣿⠋⠉⠻⣧⣀⢸⣿⣄⠀⠀⠀⠀⠀⠈⠹⢷⣌⣿⣏⣉⣁⣰⠶⠀⠀⠉⠉⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⠻⣴⠛⠛⠀⠀⠀⣸⡇⠸⣦⣿⣶⣶⡆⠀⠀⢠⣶⣾⣿⡟⠛⡟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠒⠚⠀⠀⠀⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⣤⣤⣼⣿⠟⠂⠒⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠻⣿⣄⠀⠀⠀⠀⠀⠹⢿⣿⣿⠀⠀⠀⠀⠀⠻⢿⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠸⣿⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣿⣶⣶⣶⣶⣶⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣿⣇⠀⢻⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀

{🪷} ྀིྀིྀིྀིྀི ⋆ |🦜| ⋆ ༘ {🍉} ☀︎Ѕυммєя .’ ˚⋆𓇼˚⊹ 𖦹 ⁺｡°. ≽^•༚•^≼ 🦜⋆.ೃ࿔*:･🪷. ִֶָ. ..𓂃 ࣪ ִֶָ🦢་༘࿐ྀིྀིྀིྀིྀི ⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⢀⡄ ⠀⠀⠀⢸⣏⠻⣶⣤⡶⢾⡿⠁ ⠀⠀⣀⣼⠷⠀⠀⠁⢀⣿⠃⠀ ⠴⣾⣯⣅⣀⠀⠀⠀⠈⢻⣦⡀ ⠀⠀⠀⠉⢻⡇⣤⣾⣿⣷⣿⣿⡄ ⠀⠀⠀⠀⠸⣿⡿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠁⠀⠀⠀⠀⠀ ᝰᐟ🍋⋆.˚─ 🍋‍🟩 .ᐟ ⋆｡‧˚ʚ🍓ɞ˚‧｡⋆ ˙✧˖°📷 ༘ ⋆｡˚ ⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⣏⠓⠒⠤⣰⠋⠹⡄⠀⣠⠞⣿⠀ ⠀⠀⠀⢀⠄⠂⠙⢦⡀⠐⠨⣆⠁⣷⣮⠖⠋⠉⠁⠀ ⠀⠀⡰⠁⠀⠮⠇⠀⣩⠶⠒⠾⣿⡯⡋⠩⡓⢦⣀⡀ ⠀⡰⢰⡹⠀⠀⠲⣾⣁⣀⣤⠞⢧⡈⢊⢲⠶⠶⠛⠁ ⢀⠃⠀⠀⠀⣌⡅⠀⢀⡀⠀⠀⣈⠻⠦⣤⣿⡀⠀⠀ ⠸⣎⠇⠀⠀⡠⡄⠀⠷⠎⠀⠐⡶⠁⠀⠀⣟⡇⠀⠀ ⡇⠀⡠⣄⠀⠷⠃⠀⠀⡤⠄⠀⠀⣔⡰⠀⢩⠇⠀⠀ ⡇⠀⠻⠋⠀⢀⠤⠀⠈⠛⠁⠀⢀⠉⠁⣠⠏⠀⠀⠀ ⣷⢰⢢⠀⠀⠘⠚⠀⢰⣂⠆⠰⢥⡡⠞⠁⠀⠀⠀⠀ ⠸⣎⠋⢠⢢⠀⢠⢀⠀⠀⣠⠴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠷⣬⣅⣀⣬⡷⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ { \-⋆ 🌊🥽🫧🐋༘ ༘ ⋆ ᡣ𐭩 -/.’ *} ꒰ 🥥 ꒱ؘ ࿐ ࿔*:･ﾟ ⋆ ྀིྀིྀིྀིྀི +{ 🌷 } || 🍉 🍦||˗ˏˋ ★ ˎˊ˗ || ☀️🌼 || { 🐚 } + ྀིྀིྀིྀིྀི ༘

⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣤⣴⣿⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣀⣴⡖⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⡟⢻⣿⣿⣿⣿⣿⣿⣿⣤⠄⠀⠀ ⣀⣾⣿⣿⠋⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⠶⠂ ⠀⠀⠙⠃⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀ ⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠺⣿⣿⣿⣿⣿⣿⣿⠀⠀⠈⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣶⣿⣷⣄⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠇⢸⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡿⠀⠀⢿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠇⠀⠀⠈⢿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⠀⠀⠀⠀⠈⢿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠃⠀⠀⠀⠀⠀⠈⢿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣯⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⠿⣽⣟⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠈⢿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣿⣟⣾⠏⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠿⣿⣿⢿⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⣿⣿⠿⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣧⡀⠹⣿⣾⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⣾⠟⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⠘⣿⣿⣿⣧⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⠋⢰⡟⠀⠀⠀⠀⠀⠀⠀⢀⡰⢶⡄⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⠘⣿⣿⡻⣧⠀⠀ ⠀⢰⣿⣿⡿⠃⠀⣿⠁⠀⠀⠀⠀⠰⢶⣄⠘⠻⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠘⣿⣇⢻⣆⠀ ⢀⣿⣿⣿⣧⡄⢸⡷⠀⠀⠀⣤⡀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⢿⣿⣤⣿⡀ ⢸⣿⣿⣿⣿⠁⠈⠁⠀⠀⠀⠈⠛⠃⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣼⣿⣿⣾⡇ ⣾⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡽⣿⣽⣿⣿ ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⡏⠈⣿⣿ ⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⣤⢿⣿ ⣿⣿⡏⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢳⡟⣸⣿ ⢸⣿⣷⠸⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢱⣿⡏ ⠈⣿⣿⣇⢹⡟⣷⡀⠀⠀⠀⠀⠀⠀⢠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠅⠁⣾⣿⠁ ⠀⠘⣿⣿⣯⠙⠙⢿⡄⠀⠀⠀⠀⠀⣦⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⢶⣿⠃⠀ ⠀⠀⠘⢿⣿⣧⡀⢘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣄⠀⣠⡾⠃⠀⠀ ⠀⠀⠀⠈⢻⣿⣷⣜⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⢀⣠⣶⣾⣿⠟⠙⢛⣴⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠻⣿⣷⣦⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣧⣶⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣶⣤⣄⣀⡀⠀⢠⣴⣿⣿⡿⢿⣟⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⠿⢻⣿⡿⣿⡿⠿⠞⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢄⠊⠁⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⡉⠄⠠⢉⠈⠣⠤⢴⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡤⠤⠀⣀⣀⠀⠀⠀⠀⢀⣠⠴⠾⠷⠶⠶⠶⠬⣴⣀⡌⠐⡀⠂⢇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⢠⠔⠁⠀⢀⡩⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⢤⡁⠚⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢩⠁⠀⢀⡔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⢀⠀⠀⠀⠙⢧⣣⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣶⠁⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢠⠀⠀⠀⠀⠀⠘⣯⢲⠤⣄⡀⠀ ⠀⠀⠀⠀⣠⠇⠀⠀⡠⠊⣁⣤⣤⣄⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠉⠐⢄⠀⠀⠸⣇⢯⣱⢌⠕ ⠀⠀⣠⢾⣽⠀⠀⡎⢀⣾⣿⣿⣿⣿⣿⣎⠀⠀⠀⠠⠀⡀⠀⠀⢸⣿⣶⣦⡤⣣⠀⠀⣯⢲⠕⠁⠀ ⢠⡞⣹⢷⣺⠀⢰⠀⢸⣿⣿⣏⣹⣿⣿⣿⠀⢰⠀⡆⠀⣿⣿⣶⣌⣻⣿⣿⡇⠀⠆⠀⡗⠁⠀⠀⠀ ⠀⠈⠙⠳⢿⡄⠀⠆⠘⢿⣿⣿⣿⣿⣿⠏⠀⡆⠀⠡⠀⠻⣿⣿⣿⣿⣿⡿⠃⡰⠁⢠⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢱⡀⠸⡆⡀⠉⠛⠛⠋⠁⡠⠊⠀⠀⠀⠑⢄⠈⠙⠛⠛⠉⢀⢴⠅⢀⠎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⠓⠀⠀⠈⠁⠒⠒⠂⠉⠀⠀⠀⠀⠀⠀⠀⠉⠐⠒⠒⠈⠁⠀⠀⠮⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠐⠈⢲⣄⡀⠀⠀⠀⠀.⢀⡀⣀.⠀⠀⠀⠀⢀⣠⣾⠂⠐⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣻⢷⠒⠤⠤⠤⠤⠤⠤⠤⠒⣾⢿⢫⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢌⠿⡽⣿ ⠀⠀⠀⠀⠀⠀⣿⣻⣎⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣌⣳⡼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⢾⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢟⡟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣯⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⢣⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣣⣿⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢣⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⢛⠚⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⡜⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣵⡞⣦⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⣯⠇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⣾⡹⣷⠷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⢸⢿⣀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀ ⠀⢸⣗⣯⠿⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⠭⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⣿⡾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀-kaiiythe

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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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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⢰⢻⡀⠀⠀⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢧⠀⠀⠀⠀⠀⠀⢧⢰⠃⠀⠀⠀⠀⠀⠀⡴⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠘⡆⠀⠀⠀⠀⠀⣇⠈⡆⠀⠀⠀⠀⠀⡼⢆⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⢏⠀⠀⠀⠀⢸⣉⣀⣇⡀⠀⠀⠀⡴⠃⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⡙⠲⡄⠀⠀⡟⡆⠀⠀⠘⡆⡤⠱⣺⠟⠉⠉⠉⠉⠋⠳⣦⣸⠀⢸⠀⠀⠀⠀⡤⢤⡄⠀⠀⠀⠀⠀⢠⠀⠀ ⠀⠀⠀⠀⠀⠀⢹⠘⠒⡆⢀⡭⡈⣹⠀⠀⢳⢻⡏⠀⠀⠀⡴⡄⠀⠀⠀⠐⣩⠏⣠⠞⠀⡴⠒⡗⢋⠤⠐⠂⠲⢊⡽⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡄⠈⢱⡏⠋⢳⠌⢗⠲⣼⢾⣷⠀⠀⢰⣃⣧⠀⠀⣀⣀⡿⡍⡗⢸⠏⢩⠓⠋⠀⠀⣀⡼⠉⠉⠀⠀⠀⠀ ⢤⡤⠤⣄⣀⣀⡳⣄⠈⣹⡄⠘⡏⣦⠟⣶⡟⣛⠳⣄⡄⠀⠀⠠⣤⡷⡿⠟⣫⠰⣾⢭⣹⣠⠤⠟⠓⡆⠀⠀⠀⠀⠀⠀⢀⡀ ⠀⠉⠓⠶⢅⣀⣉⡉⠹⡇⠫⡢⣟⣓⠞⣏⠀⢯⢷⡾⣿⣤⣬⣿⠛⠉⣧⣯⠽⠀⢘⣿⠩⠃⣀⣀⣤⣞⡞⠉⠉⣉⡽⠋⠀⠀ ⠀⠀⠀⠀⣎⠓⠲⣌⡷⠅⠀⠉⣟⠉⠀⠈⠙⠉⠙⠉⣽⢿⣈⣇⣀⠀⠀⠳⠖⠚⠛⠁⠻⣟⠛⢡⡟⠉⣀⣨⠖⠒⠊⠁⠀⠀ ⠀⠀⠀⠀⠈⣹⠂⠻⣏⣹⢠⣿⢿⠧⣀⣤⢰⡆⢯⡏⣹⠈⢹⡙⠳⣲⣤⣄⣀⠀⠀⠀⢠⣶⣿⢓⢲⢸⠯⣯⣀⣀⣤⠆⠀⠀ ⠀⠀⠀⠀⠀⠙⠶⠒⠒⠋⢯⠈⠹⠽⠛⠙⠉⠁⠀⣰⠋⠀⠀⠈⢧⠀⠀⠈⠉⠚⠛⠻⠭⠏⢉⠎⠘⡾⢠⠋⠉⣁⣀⡎⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⠀⠀⠀⣀⡤⠔⠁⠀⠀⠀⠀⠀⠈⠲⢄⣀⡀⠀⠀⠀⢀⡠⠃⠀⠀⠘⠓⠒⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠻⣿⢶⣤⡀⠀⠀⠀⠀⠀⢿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⢦⣿⣷⣤⡀⠀⠀⠸⣿⠛⢲⠶⠶⠶⠶⠶⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣄⣿⣷⣿⣶⣶⣾⣶⡿⢿⣶⣡⣔⣏⢷⣽⣟⣛⢶⣶⣒⣤⡤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣾⣿⣿⣿⣿⡿⣡⡜⣿⣾⣿⣿⠿⢯⡃⡟⣿⣾⣯⡉⠏⠻⠅⢪⠉⣏⡉⠖⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡯⢻⠏⢻⣿⣿⣿⣿⣿⣟⣿⣿⣟⡿⣰⠊⢟⣦⡿⣽⢷⠦⢶⡄⠀⢀⣈⣀⣀⣒⣼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢢⠳⠉⠀⣀⣿⣿⢻⣿⣿⣿⣿⣿⡟⢳⣾⣿⣿⢾⣽⣶⣏⣩⣶⣶⣿⣿⣿⣿⠟⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⡤⠤⣖⣚⣫⣽⣯⣿⣿⣷⣿⣿⣿⣿⣿⣬⣨⣷⠀⣴⣿⣿⣿⠿⠿⠟⢛⣩⣁⣠⡾⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⠟⠛⠛⠉⠉⠉⠁⠀⠀⠀⠉⠻⢦⣀⠀⠀⠈⠉⠉⠉⠉⠀⠗⠂⠴⠶⠶⠶⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

gigachad⩇⩇:⩇⩇⩇⩇:⩇⩇⩇⩇:⩇⩇⩇⩇:⩇⩇⩇⩇:⩇⩇

🌍🌏 Earth 🌍🪐-`♡´-

⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀ ⠀⠀⠀⠀⠀⠸⣿⢷⣄⠀⠀⠀⣴⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣶⣾⣥⡄⠄ ⠀⠀⠀⠀⠀⠀⡾⢯⣎⣧⡀⠀⣉⣡⣤⣄⡤⢤⣤⣤⣀⡀⠀⠀⠀⠋⠉⠻⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣴⣇⣼⣿⣿⣿⣥⣬⣽⣮⣤⣿⣤⣜⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣿⣿⣽⣿⡏⣿⣿⢿⢍⣟⣿⣽⣿⣿⣿⣿⣿⣿⣆⠀⠀⢀⡀⠀ ⠀⠀⠀⣀⣤⠾⣿⣿⣿⣯⠉⣷⣿⢿⢝⣿⣏⠚⠉⢻⣿⣿⣍⣻⡻⣿⡆⣾⣭⣷⡀ ⣴⣶⣿⣭⣽⠟⣹⣿⡿⣿⣷⣵⣦⡰⠏⠂⡩⣢⣾⣿⣿⣿⣿⣾⣷⣞⠇⣿⣿⠿⠇ ⠁⠩⢻⣿⡿⢣⣻⢟⠟⢿⡡⡾⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢙⡿⠀⠉⠃⠀⠀ ⠀⢀⡜⡏⣧⣿⣜⣽⠍⠀⠀⠀⠀⠌⠄⢈⣷⣶⣿⣿⣿⣿⣿⣷⠾⠁⠀⠀⠀⠀⠀ ⠄⢲⣭⣿⣿⣼⣼⣏⠀⠄⡲⣵⣦⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀ ⠀⠀⠙⢻⣟⣽⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠛⠿⠿⣿⣿⣷⣤⡀⠀ ⠁⢀⣔⣽⣿⣿⡟⠻⠿⠿⠿⠿⠿⠿⠿⠛⠛⠉⠀⠀⡿⡗⠀⠀⠀⠀⠉⠛⠛⠻⠷ ⣶⣿⣿⠟⠛⠉⠀⣀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡿⠋⠀⠀⠀⠀⠀⠘⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⡁⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢉⣀⡈⠿⢿⣆⠀⠀⠀⠀⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠐⢠⡼⠀⠑⢞⡋⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠟⠋⠁⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⠀⠀⠀⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⠀⠀⠀⣴⣶⣿⡆⠀⠀⠀⠀⠀⠀⠈⠁⠀⣿⣿⣟⣿⣻⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⢰⣿⣿⣶⣄⠀⠀⠀⠀⣰⣿⣿⣿⣿⢦⡄⠀⠀⠐⠀⠀⠀⠠⣿⢿⣻⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⡶⣶⣶⢾⣾⣿⣿⣿⣖⣶⣦⣖⣿⣿⣿⣿⣦⣾⣿⣤⣤⣤⣶⣶⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣟⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣍⣉⣙⣛⣓⣒⣒⣶⣠⣀⣓⣛⣿⣿⡏⣿⡿⠿⠟⠣⠬⠐⠒⠒⠒⣟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⣏⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠉⣹⠁⠀⠀⠀⠀⠀⠀⠐⠭⠭⠿⠿⠿⠿⠿⠿⠽⢿⠿⠿⣿⣷⠻⠻⡿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠑⠒⠚⠻ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣤⣭⣤⣿⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣠⣤⣤⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⣀⣏⣀⡀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠎⠳⣄⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠃⠀⠀⠈⠣⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠞⢇⠀⠀⠀⠀⠀⢈⠳⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣔⠁⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⠋⠈⢇⠀⠀⠀⠈⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢀⣠⠤⠔⠒⠦⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡄⠊⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⣠⠖⠊⠉⠉⠳⡄⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡴⠃⠀⠀⠀⡤⠋⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡜⠁⠀⢀⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡴⠁⠀⡠⠋⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠳⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠞⠁⢀⡴⠃⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⢹⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠏⠀⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢸⠀⠀⣀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⣎⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⡠⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⡖⠂⠁⠁⠀⠀⠀⠈⠉⠒⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⡠⣦⢄⡀⠀⠀⢀⠔⠋⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠄⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣦⠔⠋⠁⠈⠳⢭⣓⣦⣇⡀⠀⠀⠀⠈⠓⠚⠉⠉⠓⠦⣀⣀⣠⠴⠒⠲⢄⣑⢦⠀⠀⠀⠀ ⠠⠤⠠⠤⠠⠤⠤⠤⠤⠤⠒⠒⠒⠋⠁⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠃⠚⠵⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠓⠶⢖⣤⣤⡄⣀⡀⣀⠀⠀⠀⠀⠀⠈⣇⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠆⠚⠉⠁⠀⠧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠉⠉⠉⠉⠉⠉⠙⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠤⠚⠉⠀⠀⠀⠀⠀⠀⠀⠉⠑⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠒⠂⠊⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠂⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⠢⠤⣄⣀⣀⣀⡀⣀⣀⣠⠤⠖⠉⠀⠀⠀⠀⠀

﹐ You are so beautiful , I love the way you keep on trying hard , I am proud ofyou . Take a break , you deserve it. Everything *will* be okay. Don't force fate , whatever fate wants , it will be. Stop scrolling , drink water, take a deep breath , relax. You're doing amazing. - Jennie . KissesForShin , jennie_bows_xoxo on pin﹒♡ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⣧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠺⠿⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠋⠓⠉⠉⠙⠒⠶⣆⡄⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢇⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡗⠀⠀⠀⠀⣠⣤⡤⡀⢀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢚⣗⠀⠀⣀⣄⡫⢿⣽⡥⣨⡀⢀⠀⣰⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⢬⣿⡷⣦⣢⣦⣂⣖⠲⣚⣛⡟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣷⣻⣟⡆⢏⢌⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣏⣿⢇⣧⠘⣈⢥⣃⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⡟⠹⡦⢯⣬⠐⡹⢗⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠌⠀⠤⢋⠡⠧⢉⠀⠀⠱⡁⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⢀⠂⠀⡑⠁⠈⡇⠁⡁⠄⠀⠠⣃⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⢈⡇⠀⠔⡃⠁⠐⠂⠀⠀⠆⠣⡙⠄⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡂⠀⠀⡇⠀⠑⣂⠁⠀⠡⡀⠀⠅⠀⠈⠪⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡁⠀⠀⢱⠀⠀⢡⠀⠀⢀⢂⢁⠁⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣇⠀⣺⠀⠀⠁⡴⠁⠀⠀⠀⠀⠀⠀⠵⡄⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠟⠀⠀⠀⢰⡐⠐⠇⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⡳⠀⠀⡡⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠉⠀⠀⠀⠀⠥⡀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⣀⣤⣶⠶⠶⠶⠲⢶⠶⠊⠉⠉⠉⠉⠉⠉⠒⠒⠒⠂⠀⠠⠤⠤⠤⠤⠤⠤⠤⠤⠒⠒⠂⠉⠉⠉⠩⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢾⠛⠚⠚⠓⠤⠤⠤⠤⠤⠤⠤⣀⡀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠑⠷⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢄⠛⠯⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠒⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠑⠤⣀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠦⣄⡀⠀⠀⠀⠀⠀⠀⠉⢹⡁⠈⢣⠤⢀⣀⣀⣀⣀⣀⣀⣀⠀⠤⠤⠤⢀⣀⡀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠲⢤⣄⣀⠀⠀⠀⣷⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⠤⠤⠤⠬⣉⡒⢤⣀⠀⠀⠱⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠉⡏⠉⢿⡀⠀⠘⡖⠒⠒⠒⠒⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢮⡳⣄⠀⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⠀⡇⠀⠸⣧⡀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣎⢆⢸⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣆⣸⡀⠀⠹⣧⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⢫⣼⠎⠢⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠃⠀⠀⠈⠑⠶⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⢀⣿⠀⠀⠈⢆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⣀⣀⠤⠛⠘⢄⡀⠀⠈⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠞⠁⠀⠀⠀⠀⠀⠈⠑⣤⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⣠⡶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠈⠉⡏⠉⠁ ⠻⠖⠛⠀⠀⠀⠀⠀⠀⠀⢀⡶⠀⣤⠞⠉⣠⠀⠀⠀⠀⠀⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣼⢯⣾⣿⣶⣿⣷⠞⠟⠋⠀⠀⠀⠀⠀ ⠠⡦⠄⠀⠀⠀⠀⠀⠄⣙⣿⣾⣿⣿⣿⣿⣿⣿⣢⢦⠀⠀⠀⠀⠀ ⠀⠀⠀⣤⡄⠀⠀⠀⢀⣸⣿⣿⠿⠿⣻⣿⣿⠿⡇⠠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣤⠷⠻⠋⠀⠀⢀⣼⣿⣿⣯⣼⣿⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣿⣿⡿⣯⠀⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣴⣼⣿⣿⣿⡧⣠⡤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢬⣷⡟⢻⡛⣽⣿⣿⣧⡿⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣾⣇⣻⣷⣾⣯⣭⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⠿⣿⣾⣿⣿⣡⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣀⠀⠀⠀⢀⣠⣄⡀⠀⠀⠿⣿⣿⣿⣟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⢿⣋⠅⢠⣿⠍⣻⡟⠀⠀⢸⣿⣿⠯⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠇⠈⠈⣿⣇⠋⠀⢀⣺⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢷⠳⠾⠟⠍⠃⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣇⠈⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣖⣄⠡⠀⠀⠀⢠⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢳⣼⡆⢣⠀⠀⣿⡏⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣄⠈⡀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠱⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠳⡀⢸⣆⠀⠀⠀⠀⠀⡞⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⡠⢄⡀⠀⠀⠀⠀⠀⠀⠈⣷⠐⡄⣟⡀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⣦⡈⠑⢄⠀⠀⠀⠀⠀⠸⣆⠘⡇⠣⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠙⠲⣤⡀⠀⠀⣴⠢⡀⣿⣤⡧⡂⠀⠀⠀⢸⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠻⢷⣼⣆⠀⠹⣿⣷⠝⡀⠀⠀⢸⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧⠀⢻⣿⡄⠘⡀⠀⡄⠘⠀⠀⠀⠀⠀⣠⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡷⣌⢿⣾⣄⠱⣰⠁⡇⠀⠀⠀⠀⣰⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡞⢮⡻⣿⣦⠱⢧⠃⠀⠀⠀⢠⣿⡿⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣾⣧⠙⢿⡇⠸⠀⠀⠀⠀⢸⣿⡳⠁⠀⠀⠀⡀⠀⠀⠀⠀⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⡆⠉⠃⡆⠀⠀⢀⢿⣷⠁⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡔⠤⡀⠀⠀⠀⠀⠘⣿⣿⣿⣦⠘⡀⠀⣼⣾⡝⡆⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⣮⣳⣆⢄⠢⡤⠖⠋⢀⡘⢿⣿⣿⣇⢱⠀⣿⡇⢧⠃⠀⠀⠈⢳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡅⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠋⢀⣸⣿⠻⣷⣗⠘⣶⣿⣿⣧⠈⢿⣿⣿⡄⣦⡿⠝⠀⠀⠀⠀⠀⢸⣬⢝⡢⠀⠀⡀⣀⣀⣠⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⠏⠀⣤⢏⠀⢻⣧⠸⣿⣧⣌⠻⣿⡞⠀⠸⣿⣿⡏⣿⣧⣇⢰⠀⠀⠀⠀⢸⣾⣀⠈⠉⢒⣿⡯⣁⠘⠷⣄⠀⠀⠀⠀⠀ ⢠⡾⢃⣰⣿⣿⣕⣷⡄⠙⢧⠀⠙⠻⣷⣬⡻⢄⠀⢻⣿⣿⠹⢼⣿⠘⠀⠀⠀⠀⢸⣇⣧⠀⠀⡜⡿⣱⠀⠙⢆⠘⡇⠀⠀⠀⠀ ⠀⠉⠉⠘⠻⢿⣿⣿⣿⣦⡈⢣⠀⠀⢈⣿⣷⣦⡁⠺⣿⣿⣆⣧⢰⡇⠀⠀⠀⠀⢸⡿⠁⠀⣸⢻⡟⠁⠀⠀⣸⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣷⣄⠱⡀⢿⣴⡍⢿⡛⢷⣼⣿⣿⣼⡟⡄⠀⠀⠀⠀⣿⡇⠀⣜⠇⠼⠃⢀⠔⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠨⢿⣿⣿⣤⣱⡜⣼⣿⣄⢣⠀⠙⣿⣿⣿⡇⢁⠀⠀⠀⢰⣿⢅⢰⣾⠀⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠔⠁⢀⣼⠷⠛⠁⢠⢹⢌⠻⣿⡜⡎⠀⢿⣿⣿⣇⠜⡀⠀⠀⣸⡗⠠⢯⠇⠂⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⠋⢀⣴⡿⠊⠀⠀⢠⠂⢸⣎⢦⠈⢻⣿⢇⠸⣿⣿⣗⡇⢃⠀⠀⣿⠷⢱⡟⠀⢠⠃⠀⡠⠤⠄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡟⢁⣴⣿⡞⠀⠀⢀⠔⠁⣐⣁⠿⠋⠀⠀⠀⠀⠀⢻⣿⣿⣇⢿⠀⢸⣟⡤⣿⠁⢀⠃⠀⠀⢧⠀⠀⠈⠒⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⢺⣶⠤⠞⣁⠄⠚⡻⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⡝⡆⣿⡇⣧⡏⠀⡜⠀⠀⢸⢎⠳⡀⠀⠀⠈⠣⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢧⣒⠼⡇⠀⠀⠀⠀⠀⠀⠀⡠⣴⣿⣿⣿⢍⣇⣿⣿⢿⡇⣺⠀⠀⢀⡆⠈⠢⡈⠢⡀⠀⠀⠱⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣧⣄⠀⠀⠀⠀⠤⣪⠖⣿⣿⣿⣿⢫⣾⣿⡌⣿⣡⠇⠀⢀⣼⠀⠀⠀⠈⣒⠬⣷⠤⠤⠮⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣯⡓⢶⡒⢆⠉⠑⠀⢿⣿⣿⣿⣿⣿⡇⣷⣿⣿⠀⢀⣾⠇⠀⣠⠖⡩⠚⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣄⢻⣄⠱⡀⠀⠘⣿⣿⣿⣿⣿⣻⣿⣿⠇⢠⣿⠓⢀⡜⡡⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣿⣆⢱⣀⠀⢿⣿⣿⣿⣿⡼⣿⡿⢠⡿⠃⢠⣊⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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