User Reputation Emojis & Text

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⡶⠖⢻⡟⠉⠁⢸⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠈⢧⠈⢷⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀ ⢀⣀⣠⣤⡤⠴⠖⠖⣞⠛⠋⢩⠏⠀⠀⠀⠀⣾⡇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢻⢳⠀⠀⠀⠀⠀⠀⠈⢧⠘⡆⠀⢠⡀⠀⠀⠀⠀⠘⣆⠀⠀⠹⡄⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠉⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⡞⠀⠀⠀⠀⠀⣿⣇⠀⠀⢸⡀⣦⠀⠀⠀⠀⠀⢸⢰⣧⠀⠀⠀⠀⠀⢷⡜⣧⣧⠀⠀⣿⡀⠀⠀⠀⣤⠸⣆⠀⠀⠹⡄⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⢠⡇⠀⠀⠀⠀⢰⣿⣿⠀⠀⠘⡇⣿⠀⠀⠀⠀⠀⠸⣦⣿⡀⠀⠀⠀⠀⠈⢿⣜⣿⠀⠀⣿⢳⡀⠀⠀⠘⣧⡹⡄⠀⠀⢹⡀⠀⠀⠀⠛⠛⢦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⠃⠀⠀⠀⠀⣾⠹⣿⡆⠀⠀⣇⣿⡆⠀⠀⠀⠀⠀⣿⡏⣷⠀⠀⠀⠀⠀⠸⣿⣿⠀⠀⣿⣈⣧⠀⠀⠀⠸⣷⣳⠀⠀⠀⢧⠀⠀⠀⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡞⡇⠀⢸⠀⠀⠀⠀⠀⣿⠀⠈⣷⡀⠀⢻⣿⣇⠀⠀⠀⠀⠀⠸⣇⣿⣤⣤⣶⠶⢦⣄⣿⢻⡆⠀⡿⠉⢻⣤⠞⢷⢦⣷⢻⣇⠀⠀⠘⣇⠀⠀⠀⠀⠀⢸⡀⣠ ⠀⠀⠀⠀⠀⠀⣸⣷⢻⡀⢸⡇⠀⠀⠀⠀⣿⠀⠀⠘⢷⠀⠸⣿⣿⠀⠀⠀⠀⠘⣷⣿⡿⠟⠉⠁⠀⠀⠈⠙⡎⣿⢸⠇⠀⠀⠉⠀⢸⡇⢻⡘⣿⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠋⠁ ⠀⠀⠀⠀⠀⠀⣿⣿⣎⢧⠘⡇⠀⠀⠀⠀⢹⣦⣤⣀⣨⣷⡸⣿⠻⣇⢀⣴⠶⠾⠿⠿⡆⠀⣀⣤⣴⣶⣿⠟⠟⠻⣏⠀⠀⠀⠀⠀⠀⢻⠀⠁⢹⡇⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀ ⠆⠀⠀⠀⠀⠀⡇⠀⣙⣟⡄⢧⠀⠀⠀⠀⢹⡀⠀⠀⠀⢿⡳⣿⣄⡽⠋⠀⠀⠉⢠⡀⠀⣈⣥⡾⢋⣩⣤⣶⣾⣿⣿⣿⣷⣶⣤⣀⣀⠸⡆⠀⠀⠁⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠄⣧⣾⠛⠙⢻⣾⣄⡤⠶⠶⢦⣇⠀⠀⠀⠀⣷⣌⠛⢷⠒⠚⠛⠚⠚⠷⢺⡿⢋⣶⣿⣿⣿⠛⣻⠀⠀⠈⠉⠙⠻⣿⣯⣤⣿⠀⠘⡃⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⣧⡈⢃⠀⠀⠈⠛⠀⠀⠀⠀⢙⠂⠀⠀⠠⠽⣷⡆⠀⠀⠀⠀⠀⠀⠀⡟⣴⣿⣟⠙⠉⠉⢠⠋⠀⠀⠀⠀⠀⠀⢸⣿⠁⣿⠀⢸⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀ ⠀⢀⣀⣀⡘⡇⣏⠃⠀⢁⣠⣴⣶⣟⣛⣛⣙⣿⣷⡄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠋⠙⠷⢶⠞⠉⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⣿⠀⣿⠀⠀⡇⠀⠀⠘⣿⡆⠀⠀⠀⠀ ⠿⠋⠀⢸⣿⣿⣿⣄⣴⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⡽⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⣀⡠⣖⣒⣛⣻⣿⣿⡶⢂⡴⣣⢄⢹⢠⣿⠀⠀⡇⠀⠀⠀⣿⣷⠀⠀⠀⠀ ⠀⠀⠀⢘⣿⣝⣿⣿⣿⠟⠁⠀⠀⠻⢦⣈⣙⣊⡷⠁⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣶⢾⢟⡯⠋⣠⡬⢀⡬⢃⡴⢫⡞⣱⢋⣼⣾⣾⡆⢠⠇⠀⠀⠀⢹⢿⣷⡄⠀⠀ ⠀⠀⢀⢸⣿⠛⢿⣿⣿⡆⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⢀⠜⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⣿⡿⠋⣰⡿⢀⡴⠋⡴⢋⠴⢪⣜⡵⢛⡟⠁⢻⡇⢸⠀⠀⠀⠀⠘⡆⠹⣿⡆⠀ ⠀⠀⢸⠀⣿⡄⠀⠙⣿⡿⢀⣤⣶⡾⢿⡟⠉⣭⢫⢁⡴⠃⠀⠈⢧⠀⠀⠀⠀⠀⠀⣠⢞⡵⣿⠋⣠⠞⢁⡴⠋⡰⢊⣠⢆⡴⡿⠛⡤⢋⠀⠀⠈⢳⡇⢀⡆⠀⠀⠀⡇⠀⢿⣿⠀ ⠀⠀⢸⡄⢹⣧⡄⠀⣼⠋⣲⡏⠀⣰⠟⣠⡞⣱⢏⠞⠡⠈⠀⠀⠀⡃⠀⠀⠀⢀⠞⡵⠯⠎⣠⠞⢁⡴⠋⣠⠞⠑⡝⣡⠏⠀⠀⢺⣇⡟⠀⠀⠀⡞⠁⢸⡇⠀⠀⠀⡇⠀⢸⣧⢧ ⠀⠀⠀⣧⠨⣿⣇⠀⠐⢻⠏⡼⡿⠛⣾⢋⡼⡡⠏⠀⠁⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠞⠡⠢⣊⠞⠁⠀⠀⠀⠈⠛⠁⠀⢀⡾⠁⣠⣾⡇⠀⠀⠀⡇⠀⠀⣿⣌ ⠀⠀⠀⣿⣸⡘⣿⡆⣠⢏⢾⡟⢁⡜⢡⢞⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⢟⣠⠞⣿⢿⡇⠀⠀⠀⣧⠀⠀⣸⣿ ⡆⠀⠀⣿⣿⣿⣾⣧⢁⢮⠏⣠⠟⠀⣡⠏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠖⠒⠛⠛⠒⠲⢤⣄⡀⠀⠀⣠⣾⠇⠀⠀⠀⠀⠀⢀⣠⣴⠮⠗⠋⠀⢠⡿⢸⡇⠀⠀⠀⡟⡄⢰⠏⢻ ⣇⠀⠀⠸⡾⣿⣿⡙⢿⣇⡰⠋⠀⠐⠋⠀⠀⠀⠀⠀⠀⠀⢠⠞⠉⣠⣴⣶⣾⣿⣿⣿⣿⣦⣴⣿⣿⣿⣿⡏⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠘⣿⢸⡇⠀⠀⠀⡇⢳⠁⠀⠀ ⢿⡄⠀⠀⢻⡿⣿⣧⠀⠈⠙⠲⠶⠂⡀⠀⠀⠀⠈⢳⣶⣶⣷⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠘⡇⠀⠀⠀⡇⠈⣇⠀⠀ ⠀⣿⣄⠀⠀⠻⣼⣿⣆⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⠿⠛⢻⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⢀⣿⣿⡆⣧⠀⠀⠀⡇⠀⠸⡄⠀ ⠀⣿⡟⠳⢤⡀⠙⠿⣿⣦⠀⠀⠀⣆⣘⡄⠀⠀⠀⠀⠀⠘⣿⣿⡟⠀⠀⠙⣿⣿⠟⠁⠀⠀⠀⢆⣿⠋⠀⠀⠀⠀⠀⠀⠀⢀⠈⡄⠀⠀⠀⣠⣾⣿⣿⣿⣿⠀⠀⠀⡇⠀⠀⢹⡄ ⣾⣿⡇⠀⠀⠉⣶⣤⣌⡙⠧⣤⣀⣈⣉⡴⠀⠀⠀⠀⠀⠀⠹⣿⠃⠀⠀⠀⣿⡏⠀⢀⠂⢲⠀⣾⣽⠀⠀⠀⠀⠀⠀⠀⠀⠘⠚⠁⠀⢠⣼⣿⡧⣿⣿⠹⣿⡄⠀⠀⡇⠀⠀⠀⢻ ⣿⡟⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣯⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣿⠄⠀⠈⠀⢸⣤⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡄⣈⣧⢀⣶⣷⡀⠀⠀⠀ ⢯⣄⣠⣴⣛⠿⠿⠿⢿⢟⠿⣿⣏⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡏⠀⠄⠀⠰⠉⢉⡖⠻⡆⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⠿⣿⣿⣷⣿⣿⣿⠈⣻⣷⠇⣿⣧⡀⠀ ⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣤⣾⡇⠀⢀⣿⣿⣦⣄⠀⠀⠀⠀⣷⠀⠀⠀⢺⡧⠀⠀⠠⠀⢀⡞⠛⠚⠃⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣷⣤⣿⣿⣿⣿⣿⡿⢠⣯⣿⢷⡌⠛⣿⣦ ⠀⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⡿⠃⠠⣾⣿⣿⣿⣿⣷⣦⣀⠀⢹⡀⠀⠀⠈⠁⠀⠀⣠⠖⠋⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠃⣾⣿⡿⢫⣿⣆⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣧⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⣀⣴⡾⠿⠛⢛⣻⣿⣿⠿⠛⠛⠋⠉⠉⠀⠀⠀⠀⢸⣿⣿⡟⢂⡀⢻⣧⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣍⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣷⡠⢀⣀⢾⠃⠀⠀⢀⣠⣴⢾⣻⣥⡶⠾⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣏⠐⢂⠐⢂⡘⢷ ⠀⠀⠀⡀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇⠀⠀⠀⠉⠁⠀⠀⠉⠀⠈⠻⣄⠀⠸⣶⣾⣿⢟⣫⡾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⢃⠐⢀⠐⢂⡀⢆ ⠀⠀⠀⠈⠦⠬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣳⣄⣀⣀⡀⠀⣀⠀⠀⠀⢹⡄⠀⣿⣉⡈⠋⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⢀⠰⢀⠰⠆⠀⠆

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠒⠲⣿⣿⢿⠻⣷⣶⣶⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⠀⣀⣠⣷⣷⣶⡾⣿⣶⣝⣿⣿⣆⠈⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⡿⠭⠽⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⢀⣴⡾⠟⠛⡋⣉⣽⣿⡿⠈⠻⣿⣿⣿⣿⣧⡟⢻⣿⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣽⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⡀⠀⠈⠻⠥⢌⡙⠻⠿⠟⠋⠀⣀⠀⠙⢿⣌⢿⣿⡇⢰⣿⣾⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⢧⣼⣿⠟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⣻⣶⣾⡷⣦⣄⣁⣀⣤⣤⣴⣾⣿⣿⣾⣳⣽⠿⠻⠃⢸⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢳⠈⣿⣉⡀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⢰⣿⡟⠉⠀⠀⠀⠙⠊⠻⣿⠿⠿⠟⠛⠉⠉⠀⠀⠀⠀⠀⠘⢷⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠈⠉⠁⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢻⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡦⣿⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⢀⣠⣾⣿⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣽⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠈⢿⣿⠷⠒⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢀⣀⣄⡀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠉⠁⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⠺⢿⣿⠀⠀⠀⠀⣀⣤⣶⣶⣤⣤⣄⡟⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣀⡇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠻⡄⠻⡗⠀⠠⠾⢛⣭⣿⣿⡿⣿⠿⠃⠀⠀⣿⣿⢟⣛⠛⠁⣼⠿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠏⠁⠈⡇⠀⠀⠀⠀⢻⠛⠛⠳⢦⠀⠀⠀⠀⢸⢿⣿⣶⡇⠀⠀⠀⠛⠛⠉⣉⡤⠟⠀⠸⣇⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡏⠀⠀⠀⣷⠀⠀⠀⠀⠸⣦⠀⠀⠘⣧⣤⣤⡀⠸⣿⢹⠀⠱⣆⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈⠀⢸⡙⣦⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣷⠖⠲⠲⠏⠀⠀⠀⠈⢧⣿⠋⠛⠲⣾⣧⣠⣽⣧⠹⣞⢦⠘⡟⢦⡀⠀⠀⠀⠀⠀⢀⣄⠐⠂⠀⠈⣿⢙⣷⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡟⣿⠀⠀⠀⣾⠀⠀⠀⠀⠈⠉⠀⠀⠀⠈⠁⠀⠉⠙⣷⠈⠳⣄⣹⠈⢳⡀⠀⠀⠀⣴⡟⠈⠱⣶⣤⣰⣿⣿⣿⣷⣄⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⠏⠀⢹⣦⠀⣼⠚⠛⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⢦⣄⡀⣼⠀⠀⠀⠈⣇⠀⠈⠢⡀⢸⣿⣁⠀⢀⣀⣈⣛⣿⡿⠿⣷⡿⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠯⠀⠀⢸⡇⣤⡀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⢠⣿⠀⠀⠀⢀⣾⣆⠀⠀⢻⡄⠙⠻⣿⣍⣉⣁⣀⣀⣤⣴⣿⡇⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣏⠀⠀⠀⢸⡇⠘⡇⠀⠀⠹⡇⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠈⣽⠀⢀⣴⣿⣿⠙⢦⡀⠀⠁⠀⠀⠙⢿⣿⠿⠿⠟⣻⠟⣽⠇⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⡄⠀⠀⣾⠃⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢿⣶⣿⣿⣿⣿⡄⠀⠓⣄⠀⠀⠀⠀⠀⢸⣍⣉⣩⣥⣾⠏⠀⠀⣼⠇⠰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⡀⠀⠉⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣷⡀⠀⠈⠳⣤⡀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⣸⣿⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⣠⡾⠋⢸⠀⣄⠀⠀⠘⢷⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠀⠈⠙⠒⠒⠒⠺⣯⣡⣤⡀⣻⣿⣿⣿⣦⣤⣘⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠻⣍⠢⠀⠀⠀⠀⠀⣠⣾⠛⠉⢙⣿⣿⣾⡟⣷⠈⠻⠁⠙⣿⣿⣿⣿⣿⣷⣤⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡘⢷⣄⠀⠀⢀⣴⡿⣿⣿⣿⣉⣀⣉⠙⠻⣿⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⢴⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⠻⣿⣮⣿⠟⠀⠀⠈⠻⢿⡿⠿⠿⣿⣿⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣟⠗⠀⠀⠀⠀⠀⠛⠁⣤⡾⠋⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠙⠛⠁⠀⠀⠀⠀⠀⠀⠙⢶⡶⢶⣿⡀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠆⠀⠀⠀⣀⣤⠴⠛⠉⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣾⠟⢉⣽⣤⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⣿⣿⣷⠶⠒⠋⠉⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢀⡟⢁⣴⣿⡿⠛⢦⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⠋ ⠀⠀⠀⠀⠀⠀⢀⣴⠿⠛⠉⠁⠀⠀⣀⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢸⣷⣿⡿⠋⢀⣴⣿⣧⠀⠀⠀⣿⣿⡿⠟⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⠁⢀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣀⡤⠤⠤⠚⠛⠿⣅⣰⣿⣿⠟⢉⣇⣀⠠⠛⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡉⠁⠒⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⡇⡴⠶⠒⠒⠛⠛⠛⠛⠛⣛⣒⣲⣶⣶⣤⣄⣀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⣻⣿⣿⣿⡇⣀⡠⠴⠖⠋⢉⡉⢉⠉⢈⣓⡲⣄⠙⠉⠺⢯⣹⣿⣿⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠟⠋⠀⢠⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠈⠉⠳⡄⠀⠙⠊⠛⠢⠤⢄⣿⣿⣿⡿⣟⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠋⠀⠀⠀⣠⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢸⣿⣿⣿⡇⠈⠳⣌⡛⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⣰⠎⣽⣿⡿⣛⡯⠵⠒⠒⢤⠀⠀⠀⠔⠒⠒⠒⢀⣀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣧⠀⠀⠈⠛⣄⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⢀⠞⠁⠀⣫⠵⠋⠁⣀⣤⠴⠖⠲⠶⢮⡹⢭⣶⣄⡀⠀⠈⠉⠲⣄⠀⣸⣿⣿⣿⣿⡈⢧⠀⠀⠀⠈⢳⡀⠙⢷⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡿⠃⠀⠀⠀⠀⣰⠃⠀⡠⠎⠁⠀⠐⠋⡁⡠⠊⠀⠀⠀⠈⠳⡄⢀⠙⠿⣲⣄⠀⠀⠈⢗⢌⠻⣿⣿⣿⡇⠈⢧⠀⠀⠀⠀⠹⣄⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⡼⠁⣠⠞⠀⠀⠀⠀⢀⣼⠋⠀⠀⠀⡞⠀⠀⠀⢻⣦⠙⢦⡈⠙⢧⡀⠀⠸⣦⠳⡌⢿⣿⡁⠀⠈⠧⠀⠀⠀⠀⠘⣆⠀⠘⢿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⡼⢁⡴⠁⢀⠀⠀⠀⢠⡾⠃⠀⠀⠀⢸⠇⠀⠀⠀⠀⢻⣇⠀⢻⢦⡀⠑⠄⠀⣿⡆⠘⢆⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠈⢿⡄⠀⠀⠀⠀ ⠀⠀⣸⠟⠀⠀⠀⠀⠀⢰⢁⠎⠀⣰⡞⠀⠀⢠⣿⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢿⠀⠘⣇⠙⢆⠀⠀⠘⣴⠀⠘⢧⢧⠀⠀⠀⡄⠀⠀⠀⠀⠸⡾⡀⠀⠈⣿⡀⠀⠀⠀ ⠀⢠⡟⠀⠀⠀⠀⠀⢠⡏⡞⠀⣠⡟⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠘⡆⠀⢸⡀⢨⢣⡀⠀⡏⡆⠀⠈⡞⡇⠀⠀⣷⠀⠀⠀⠀⠀⢳⢧⠀⠀⠸⣷⠀⠀⠀ ⠀⣿⠁⠀⠀⠀⠀⠀⣾⢹⠁⠀⣿⠁⠀⢠⣿⣿⡇⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠻⠀⠀⡇⠀⢧⠱⡄⠀⢿⠀⠀⠸⡼⡀⠀⢸⠀⠀⠀⠀⠀⢸⢸⡆⠀⠀⢻⡇⠀⠀ ⢰⡟⠀⠀⠀⠀⠀⢸⣏⡏⠀⢸⡏⠀⣠⡟⢹⣹⢱⠀⠀⠀⠀⠀⠈⣧⠀⠀⢶⠀⠀⠀⠀⠀⠀⢸⠀⠈⢇⠘⢄⢸⠀⠀⠀⢳⢧⠀⠘⢰⠀⠀⠀⠀⠈⡇⢣⠀⠀⠈⣿⠀⠀ ⢸⠃⠀⠀⠀⠀⢀⡟⢿⠃⠀⣿⠀⣰⡟⠁⠸⣾⢸⠀⠀⠀⠀⠀⠀⢹⠀⠀⣻⣣⠀⠀⠀⠀⠀⠸⡇⠀⠘⡆⢸⠀⡆⠀⠀⠘⢾⡄⠀⡜⠀⠀⠀⠀⠀⡇⢸⡀⠀⠀⢿⡇⠀ ⢸⠀⠀⠀⠀⠀⢸⠏⡟⠀⠀⡏⣴⠏⠀⣄⠀⣿⡞⡆⠀⠀⠀⠀⠀⢸⡇⠀⢹⢿⣷⡀⠀⠀⠀⠀⢇⠀⠀⠹⡜⠀⣷⡀⠀⠀⠀⢇⠀⡆⡄⠀⠀⠀⠀⡇⠀⣇⠀⠀⢸⡇⠀ ⣿⠀⠀⠀⠀⠀⡟⠀⡇⠀⢰⣿⠋⢀⠀⠈⢳⣿⣧⢻⠀⠀⠀⠀⠀⠈⣇⠀⠈⠀⠙⣷⡀⠀⠀⠠⣾⠀⠀⠀⢹⠀⡏⢷⡀⠀⠀⢸⡰⡄⡇⠀⠀⠀⠀⡇⠀⣿⠀⠀⢸⡇⠀ ⢸⠀⠀⠀⠀⢸⠇⠀⠃⠀⣾⠿⣾⠟⠛⣿⣿⣟⡏⣎⢇⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠈⠳⡀⠀⠀⠘⡆⠀⠀⠈⣇⡇⠈⢷⡀⠀⠸⣷⢇⡄⠀⠀⠀⠀⣧⠀⢹⠀⠀⢸⡇⠀ ⢸⡀⠀⠀⠀⢸⠀⠀⠀⠀⢻⢿⣧⠀⢸⣸⢳⡿⣿⠘⡼⡄⠀⠀⠀⠀⢸⣇⢀⠀⠀⢀⠀⠘⠢⡀⠀⢿⢆⠀⠀⡟⣿⣄⠈⢳⡀⠀⣿⣮⡷⠀⠀⠀⠀⠿⡆⠘⡄⠀⣸⠃⠀ ⢸⣧⠀⠀⠀⣸⠀⢰⠀⠀⢸⠰⠟⢦⡀⠻⣿⣾⠿⣧⠰⡹⡄⠀⠀⠀⠀⣼⢽⢉⣉⣉⣉⣍⠉⠙⢦⣘⡾⣷⣄⡇⠘⢿⠆⠀⣷⡄⣿⡿⢭⠀⠀⠀⢀⠀⣇⠀⡇⠀⡟⠀⠀ ⠀⣿⡀⠀⠀⡏⠀⠸⠀⠀⠸⠂⠀⠈⠉⠁⠒⠂⠀⠘⣆⠳⠹⡄⠀⠀⠀⠸⣼⣴⠶⠛⣻⢯⡟⡷⣾⣝⣷⡬⡙⡇⢀⣈⠳⣦⣽⣿⣿⣶⠈⣧⠀⠀⢸⠀⣿⠀⣇⣰⡇⠀⠀ ⠀⠸⣧⠀⠀⡇⠀⢰⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⣠⡟⣦⠀⠉⠀⠀⠀⠀⢻⡇⠀⠀⣯⢯⣹⠓⣾⣿⢿⣿⣝⠃⠸⠒⢻⣿⣎⠀⢼⢻⡇⣼⠀⠀⢸⡀⡏⡆⣼⡿⠀⠀⠀ ⠀⠀⢻⣆⢸⣧⠀⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢠⡿⠀⠈⢇⠠⠀⠀⠀⠀⠀⡇⠐⢦⣈⠳⠭⠯⠟⣁⣀⠈⠛⠧⠤⠴⠟⠛⣻⠇⣾⣴⢿⠏⠀⠀⡞⠇⠇⢳⣿⠀⠀⠀⠀ ⠀⠀⠀⠿⢸⣿⡀⢸⡆⠀⠀⣧⠀⠀⠀⠀⠀⠐⠛⠀⠀⠀⠈⢧⢣⡀⠀⠀⠀⢹⠀⠀⠈⠛⠶⠖⠞⠋⠉⠀⠀⠀⠀⠀⠰⠋⡁⠚⢉⣡⡿⠀⠀⢰⣷⠀⢠⡜⣾⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣞⣧⢸⡇⠀⠀⡟⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣱⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢰⠆⠒⠋⣡⡴⡟⣿⡇⠀⠀⢸⣿⠀⠈⠃⣟⡇⠀⠀⠀ ⠀⠀⠀⠀⢸⡿⠟⣻⣧⠀⠀⡏⠙⣆⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⢣⣇⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣨⣠⣶⣿⣡⣿⢡⡟⡇⠀⠀⣸⡈⡇⠀⠀⢸⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⢳⣞⢹⣸⠀⠀⡇⠤⠜⣦⠀⠀⢻⣧⢤⣀⣀⠀⠀⠀⠈⣾⡆⠀⡀⡇⠀⠀⠀⠀⠀⠀⢀⣴⣿⠳⢹⢀⠀⡏⠘⢻⣟⣼⣿⠃⠀⠀⣇⡇⠀⢸⠀⠈⣿⡄⠀⠀ ⠀⠀⠀⠀⢠⡟⠛⢻⢹⠀⠀⡇⠀⠀⠈⣧⠀⢸⡇⠀⡴⠈⠉⣿⢲⣤⣿⣇⢀⣿⠀⠀⠀⠀⠀⣠⡴⣿⡟⢹⠀⢸⢸⢸⠁⠀⢸⣿⠟⢿⠆⠀⢀⣿⣿⠀⢸⠀⠀⢻⣇⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⢸⢸⡀⠀⡇⠀⠀⢸⣿⣳⣸⡇⠀⠀⢀⣴⠟⠋⠁⠘⣿⠾⠏⠀⣀⣠⣤⢾⣋⣷⠋⠈⠘⠀⢸⢸⣼⠀⠀⣿⢿⠀⢸⠀⠀⢸⣼⠈⣇⢸⠀⠀⠈⣿⡆⠀ ⠀⠀⠀⠀⠸⡇⠀⢸⠘⡇⠀⢇⠀⠀⡾⡝⡇⢳⡓⣤⡴⠋⠀⠀⠀⠀⢈⣡⡤⡖⣚⡏⡛⣁⣼⡏⠁⠀⠀⠀⠀⢸⢸⠇⠀⢸⣿⣾⢀⣸⠀⠀⢸⣿⡷⣼⣾⠀⠀⠀⠸⣇⠀ ⠀⠀⠀⠀⠀⠹⡀⢸⠀⡇⠀⣾⠀⠀⣯⠻⣿⠈⠳⢤⣀⣠⣤⣶⣶⣿⡟⠁⠀⠁⠘⣇⡷⡏⠁⡇⠀⡀⡄⡄⠀⢸⠸⠀⠀⣸⣹⠋⢨⡏⠀⠀⣸⢿⡀⠘⢻⣦⠀⠀⠀⢻⠀ ⠀⠀⠀⠀⠀⠀⢳⡸⠀⠁⠀⣿⠀⠀⣿⠀⠹⡄⠀⠀⠀⣠⠏⢹⣿⡷⡀⠀⠤⣠⠟⣇⠀⠀⡄⠁⡄⠁⡇⠃⢠⢿⠀⠀⢈⣿⡟⣀⡼⡇⠀⢠⡏⠀⠹⣄⠀⣿⢷⣄⠀⠈⡁ ⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⡿⠀⠰⢿⠀⠀⢳⡀⢀⣠⣿⣀⢀⣟⠀⡗⢰⢛⣅⡈⠛⠒⡖⠂⠀⠀⠀⠀⠀⡞⢸⠀⣀⣼⣿⡛⠁⢠⠃⢀⣞⠀⠀⠀⠸⢻⡌⠇⠙⢣⣄⢙

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣷⡶⠿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⣿⣶⣄⡀⠀⠀⣀⣤⡶⠛⢛⠛⠛⢿⣿⣿⠁⢠⠊⡭⠛⠶⣄⠀⠀⠀⠀⠀ ⠀⢹⣿⣿⣿⣿⣷⣾⡟⣡⠊⣁⠤⠬⢍⡲⢌⠻⣇⢸⠸⠀⡎⡩⠽⣿⣆⠀⠀⠀ ⠀⠈⣿⣿⣿⣿⣿⡟⠀⠃⡘⢁⡔⠒⠂⢬⡳⡵⡜⢎⣆⢃⢣⢱⢻⣟⢻⢧⡀⠀ ⠀⠀⢹⣿⣿⣿⣿⣇⠀⠀⢃⠘⡄⢰⠉⣵⣿⣜⡜⡎⢿⣎⢢⡱⣕⠠⠴⢸⢳⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⠀⢇⠘⡄⠳⡈⢣⡣⣉⢿⢸⢸⠈⡝⢷⣝⠢⢍⣒⣋⢼⡇ ⠀⠀⢸⣿⣿⣿⣿⣿⣧⠈⢆⠈⢆⠙⢤⡉⠒⠋⡸⢸⠀⠇⠀⠈⢛⣶⣶⣄⠂⣧ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⣧⡈⠳⣄⠑⠤⣈⣉⣉⡤⠃⡜⠀⠀⣰⣿⣿⣿⣿⡇⣽ ⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡉⠒⠠⠤⠄⣲⠜⠀⠀⠀⢻⣿⣿⣿⠿⠁⡇ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃ ⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠴⠀⣰⠋⠀ ⠀⠀⠘⠿⠿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⢀⡼⠃⠀⠀ ⠀⠀⠀⠀⠀⠲⠿⠿⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠷⠊⣠⠶⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⣦⣤⣀⣀⣀⣀⣀⣤⠴⠖⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⢀⣼⡟⠁⠀⠀⠀⠀⠀⠀⢿⣷⠀⠀⠀⠀⠀⠀⢀⣉⣙⡛⠿⢷⣶⣿⣀⠀⣾⡟⠀⠀⣴⡿⠛⠉⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⡟⢠⣾⣷⠀⢀⣀⠀⠀⢸⣿⠀⠀⠀⠀⢀⣶⠿⡋⠙⣿⡆⠀⠸⡟⠻⣿⣿⣥⡀⣼⡟⠁⠀⢀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⠃⠈⠛⠛⠀⣿⣿⡇⠀⣿⡏⠀⠀⠀⠀⣿⡏⣿⣿⠇⣸⡟⠀⠀⠀⠀⠛⠉⠙⢿⣿⣤⡀⣠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⠀⠀⠀⠀⠀⠀⠉⠀⣼⡿⠀⠀⠀⠀⠀⠻⣷⣌⣥⣴⡿⠃⠀⣴⣾⣿⣦⣄⠀⠈⠉⣻⣿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣇⠀⠀⠀⠀⠀⣠⣾⡟⠁⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⣾⠏⣴⣶⡝⣿⡆⠀⠀⠙⠋⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢿⣷⣶⣤⣶⣾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠛⢛⣵⣿⠃⠀⠀⠀⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⣷⣾⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠟⠛⠛⠶⣦⡀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠘⢷⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣾⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⢻⣧⡀⠀⠀⢀⣠⣶⠄⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⢠⡟⠀⢰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡀⠀⠀⠙⠿⠿⣿⠿⠟⠁⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⣀⡴⠏⠀⣠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠀⢀⣴⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣷⣦⣀⣠⣤⣴⣶⣾⣿⠁⠀⠈⠻⢿⣷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣾⡿⠛⠁⠀⣀⡹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣶⣿⣿⡿⠿⠛⠛⠉⢹⡿⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⠿⢿⣿⣾⠿⠿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠛⠿⢿⣿⣶⣤⣄⣀⣠⣶⣶⠀ ⠀⠁⣿⡿⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠛⠻⢿⣿⣿⣤⡄ ⠀⠀⠛⠃⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⣿⡟⠉⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⠀⠀⠿⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠃⠀⢀⣠⣄⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡆⠀⠀⠀⣀⣴⣿⣿⣇⠀⠀⣿⠟⣻⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣧⣤⣶⣿⠿⠛⠁⠘⢿⣷⣦⣿⣷⣿⢃⣠⣴⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⠋⠉⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⢿⣿⠿⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣄⣈⣿⡇⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠉⠉⣩⣿⣛⣯⣽⣿⣿⡟⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣴⠶⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⣀⣤⠶⠟⢛⣻⣿⠏⢻⣿⣿⣿⣆⠿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⢀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⡜⣁⠀⣙⠓⠤⠙⠻⠛⠁⣠⣄⢙⣧⣻⣿⠀⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠱⣿⠏⢸⠀⠀⠀⠀⠀⠀⠀⢸⠁⣼⡿⠟⠛⠲⢴⢶⣶⣿⣿⣿⠿⠗⠉⠉⠀⠻⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠛⠓⢸⠀⠀⠀⠀⠀⠀⠀⢸⣦⣭⠁⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⣀⢈⡆⠀⠀⠀⠀⠀⠀⢸⣾⣟⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠠⣶⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡆⠙⠛⠀⡇⠀⠀⠀⠀⠀⠀⣠⢿⣿⠀⠀⠀⢀⣠⣤⣀⣀⢰⠀⠀⢀⣠⣴⣶⣿⣷⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣤⡇⠀⠀⠀⣇⢀⡀⠀⠀⠀⠀⣟⣢⠹⠇⠀⠶⣻⣿⣿⠿⡿⠋⡀⠀⣿⠟⠛⠋⠹⠿⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡼⠁⠀⡇⠀⠀⠀⢹⠉⠉⢳⡀⠀⠀⢻⣿⠛⢇⠀⠀⠈⠀⠠⠚⠁⠀⠳⠀⣿⡀⠀⠀⠀⠀⠀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣧⠤⠤⡟⠀⠀⠀⣾⡧⠶⢤⣿⣉⣷⡌⢧⡇⢸⢦⡀⠀⠀⠀⠀⢀⡀⠄⠀⢱⠿⣆⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡜⣿⠀⠀⣶⠀⠀⠀⠈⠁⠀⠀⠙⠀⠉⠻⡆⠳⣌⣇⠳⡀⠀⠀⣰⠏⠙⢶⣤⣼⣿⣿⣦⡀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡞⠀⢸⠆⠘⠋⠁⠀⠀⠀⠀⠀⠀⡶⠛⠂⢀⡇⠀⠀⢘⡄⠀⠲⡀⢿⣤⡤⠤⠤⠽⠛⢛⣿⠃⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⠁⠀⢸⠀⢷⠀⠀⢆⠀⠀⠀⠀⠀⡇⠀⠀⠘⡇⠀⣠⣾⠿⣄⠀⠑⠀⠘⢿⣶⣶⣶⣿⡿⣿⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠻⡀⠀⣾⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⡇⠀⠀⠐⣧⣾⣿⣿⡇⠈⠢⡀⠀⠀⠀⠹⣗⣊⣭⡼⠃⠀⣼⠃⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢣⠀⠀⠀⠀⠀⠀⠀⠧⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣄⠀⠈⠢⣄⠀⠀⠀⠁⠀⠀⠀⣰⢿⠀⠀⠉⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣦⡀⠀⠈⠑⠦⠤⠤⢤⣴⣚⡁⣼⣴⣦⣄⡈⢿⣷⣦⣄⡀⠀⠀⠀⠀ ⠀⠀⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⡝⢷⠄⠀⠀⠀⢀⣴⠛⠙⣻⣿⣿⣿⡙⠻⠉⢿⣿⣿⣿⣶⣄⠀⠀ ⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣌⢷⣄⡀⣠⡾⠻⢿⣯⣤⣤⣉⣻⠇⠀⠀⠈⣿⣿⣿⣿⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⠑⢢⣤⣄⠀⠀⠀⠀⠖⠀⣼⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣆⠹⠿⠟⠀⠀⠀⠉⠻⣍⣉⣿⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⣻⡆⠀⠀⢀⣠⠴⠛⠁⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⣸⡵⠟⣳⡄⠀⠀⠀⢿⣿⣿⣿⣿⣷ ⠀⠀⠀⠀⠀⠀⣠⣺⡿⠷⠒⠉⠁⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⡏⣰⣿⠟⢙⣆⠀⠀⢸⣿⣿⣿⠿⠋ ⠀⠀⠀⠀⢀⡞⠋⠁⣀⣠⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⣀⠀⣿⣿⠁⣰⣿⠿⣆⠀⠸⠿⠋⠁⠀⠀ ⠀⠀⠀⠀⢸⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠈⠁⠀⠀⠀⠈⠉⠛⠃⠒⠛⠉⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⣶⡶⠾⢿⡿⠿⠿⣶⣶⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⡿⠛⠋⠉⠁⠀⠀⣴⣿⣿⣷⣄⠀⠀⠈⠉⠙⠻⢿⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⣼⣿⠟⠉⢻⣿⡆⠀⠀⠀⠀⠀⠀⢹⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟⠹⣿⣿⣷⣤⣀⠀⠀⠀⢸⣿⠏⠀⠀⠀⢻⣿⡄⠀⠀⠀⣀⣴⣿⣿⣿⠋⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡟⠀⠀⠘⠻⢿⣿⣿⣿⣷⣶⣾⣿⣤⣤⣤⣤⣼⣿⣷⣶⣿⣿⣿⣿⡿⠛⠁⠀⠈⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠈⠙⠛⠻⠿⣿⣿⢿⣿⣿⣿⡿⣿⡿⠿⠟⠛⠋⠁⠀⠀⠀⠀⠀⢸⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄⠀⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡀⠀⢠⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣶⣄⡀⠀⠀⠀⠀⠀⢻⣿⣿⣾⣿⣿⠏⠀⠀⠀⠀⠀⣀⣠⣾⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠿⢷⣦⣤⣄⣀⣀⣻⣿⣿⣿⢏⣀⣀⣠⣤⣶⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣶⣶⣶⣶⣶⡗⠀⣠⣶⣿⢿⣷⣦⡀⠙⣷⣶⡀⠀⢀⣾⡾⠃⢠⣶⣿⡿⣿⣶⣄⠀⣿⣷⣶⣶⣶⣶⣾⠀⠀⣼⣶⣶⡀⠀⠀⠀ ⠀⠀⠀⢸⣿⡄⠀⠀⣾⣿⠋⠀⠀⠈⢻⣿⡄⠈⢿⣷⣠⣿⡟⠁⢰⣿⡟⠀⠀⠀⠹⣿⣇⠀⠀⠈⣿⡇⠀⠀⠀⣸⣿⠟⣿⣧⠀⠀⠀ ⠀⠀⠀⢸⣿⡇⠀⠀⣿⣿⡀⠀⠀⠀⣸⣿⠇⠀⠈⢻⣿⡟⠀⠀⢸⣿⡄⠀⠀⠀⢀⣿⡟⠀⠀⠀⣿⡇⠀⠀⢰⣿⣿⣠⣸⣿⣧⠀⠀ ⠀⠀⠀⣸⣿⡇⠀⠀⠘⢿⣷⣦⣤⣶⣿⠟⠀⠀⠀⢸⣿⡇⠀⠀⠀⠻⣿⣦⣤⣴⣿⠟⠁⠀⠀⢰⣿⡇⠀⢠⣿⡿⠉⠉⠉⢻⣿⣆⠀ ⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠈⠉⠁⠀⠈⠉⠁⠀⠀⠀⠈⠉⠉⠁

⠀⠀⠀⠀⢸⢢⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⠀⢠⠀⢸⠃⠀⠐⡄⠀⠉⠙⣿⣄⡠⢸⣿⣿ ⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠃⠀⠀⠀⠀⠀⠀⡠⠆⠁⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⣰⡗⠀⠀⠀⠀⢀⡎⠀⣸⠀⠀⠀⣝⡆⠀⠀⠈⢻⣇⢸⣿⣿ ⣄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⢀⡴⠋⠀⢠⠶⠁⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⣴⠏⠇⠀⠀⠀⠀⣸⠁⠀⡇⠀⡀⠀⠘⢿⡄⠀⠀⠀⠙⢾⣿⣿ ⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣠⠂⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⢀⡴⠋⠀⢀⡴⠃⠀⠀⠀⠀⡠⠞⠁⠀⠀⠀⢠⣞⠁⢀⠀⠀⠀⠀⢠⠇⠀⣸⠁⠀⢧⠀⠀⠀⢻⡄⠀⠀⠀⠈⢿⣿ ⣿⠏⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⢀⡜⠁⠀⠀⠀⢀⡴⠋⠀⠀⡴⠋⠀⠀⢀⣠⡴⠛⠀⠀⠀⠀⢀⡴⠛⠋⠒⢸⠀⠀⠀⢀⡞⠀⢀⡿⡆⠀⠸⡆⠀⠀⠈⢻⡀⠀⠀⠀⠈⢻ ⠙⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⢠⠟⠀⠀⠀⠀⣠⠎⠀⠀⢠⠞⠀⢀⣤⠖⣿⠛⠁⠀⠀⠀⠀⣠⠞⠁⠀⠀⡀⡎⠀⠀⠀⡼⠀⠀⣸⠁⡇⠀⠀⢳⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣰⠋⠀⠀⠀⢀⡴⠁⠀⠀⣴⣋⡴⠞⠉⣠⠞⠁⠀⠀⠀⠀⣠⣞⣁⣀⣀⣀⡍⢰⠃⠀⠀⣸⠁⠀⢰⡇⠀⣼⠀⠀⠈⡆⠀⠀⠀⣽⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⢀⡞⠁⠀⢀⣼⣿⣭⣗⣶⠞⠁⠀⠀⠀⠀⣠⠞⠁⠀⠈⠁⠀⠀⠀⡟⠀⠀⣰⠃⠀⢀⡟⠀⣄⢹⡄⠀⠀⢱⡀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⢠⠟⠀⠀⢀⡾⠉⠙⣿⠟⠁⠀⠀⠀⠀⣤⣞⡁⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⢠⠇⠀⠀⡼⠀⠙⠛⢸⣧⠀⠀⠈⡇⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⢀⠄⠀⠀⣠⠋⠀⠀⢠⣾⡇⣠⠞⠁⠀⠀⠀⢀⣤⣾⣿⣾⡽⢦⡀⠀⠀⠀⠀⢀⡏⠀⢠⠏⠀⠀⡼⠃⠀⠀⠀⠘⣿⡀⠀⠀⢸⠀⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠛⠀⢠⠏⠀⡖⣰⠋⠀⠀⢠⡟⣸⠟⠁⠀⠀⠀⢀⡴⣿⡿⡟⢿⣿⣷⣤⣽⣶⠄⠀⠀⡾⠀⣠⠋⠀⠀⣰⠃⠀⠀⠀⠀⠀⢳⣇⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡴⠋⠀⠀⣰⠏⢀⡜⡴⠁⠀⠀⢠⣯⡾⠁⠀⠀⠀⣠⠾⠋⠀⢿⠀⠳⠤⠽⣿⣿⣆⠈⠧⠀⡸⠁⣰⠋⠀⠀⣰⠃⠀⠀⠀⠀⠀⠠⣬⣼⡄⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀ ⢀⡤⠞⠉⠀⣀⡴⣾⡟⠀⣸⡝⠁⠀⠀⢀⡿⠃⠀⠀⢀⡴⠞⠁⠀⠀⠀⠈⠳⢤⣠⣶⠿⢻⠷⠀⠀⣰⠃⡴⠁⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⢹⣳⡀⠀⢸⡆⠀⡇⠀⠀⠀⠀ ⢁⠤⠠⠖⠿⠅⠀⢹⠁⢠⠏⠀⠀⣠⠎⣾⠞⢀⣠⣶⡏⣷⠟⠒⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠣⠞⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⡾⡆⠈⡇⢀⠃⠀⠀⠀⠀ ⠌⢀⠌⠀⠀⡀⢀⡟⡰⠋⠀⢀⡴⠃⢸⣣⣴⣻⣷⡿⡟⢆⢀⡀⠀⠉⣙⠒⠲⢦⣌⣲⡀⠀⠀⡴⠃⠀⠀⠀⣠⡞⠁⠀⠀⠈⠐⠒⠷⢤⣄⣀⠀⠀⠈⠹⡾⠀⢻⣸⠀⠀⠀⠀⠀ ⠀⠁⠀⠒⠒⠂⣸⠟⠁⠀⡠⠊⠀⢀⣿⣯⢀⡽⣧⠀⠀⠂⠳⣿⠌⠳⡜⢧⠀⢄⠈⢣⡙⢆⡼⠁⠀⠀⢀⡼⡗⠁⠀⠀⢀⣠⠤⣤⣤⣤⣤⣍⡙⢢⣀⡀⠹⡄⢸⡿⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⣀⠜⠁⢀⣠⠊⠀⠀⠀⣸⢁⠸⠋⠀⠈⠻⡧⠳⡵⣌⢳⣤⡙⢦⡱⢞⠡⡐⢯⡞⠀⠀⠀⣠⣞⠀⠀⠀⡆⠀⠈⢻⠟⡟⡿⡿⣿⣿⣿⣿⣯⣤⠄⢳⣸⠃⠀⠀⠀⠀⠈ ⣤⣤⣔⣋⣁⣤⠞⠉⡇⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠁⠙⢿⡺⠷⡟⢦⡽⠋⠀⠀⣠⣾⡿⡳⣀⡀⠀⢷⡀⠀⠘⣦⣛⣿⣿⠿⠀⠈⠻⣿⣿⣤⣸⣿⠀⠀⠀⠀⠀⠀ ⡄⠀⠀⠀⢻⣿⠀⢸⠃⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠞⠁⠀⣠⣾⢿⠋⡳⣜⢿⢟⢦⡀⣿⣄⠀⠈⠙⠉⠁⠀⠀⠀⠀⢘⣿⣿⣿⡏⠀⠀⠀⠀⠀⠢ ⠳⡄⠀⢤⣸⡏⠀⢸⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⣀⡴⠟⠛⠉⠄⠱⡝⢾⢦⡹⣿⣿⣿⡍⠳⣄⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⠁⠀⠀⠀⠀⢀⠆ ⠀⢹⣦⠀⢹⠁⠀⢸⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢞⣡⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣝⢿⣿⢿⣂⠙⢷⠶⡶⢦⡴⠞⢉⣿⣿⣿⡇⠀⠀⠀⠀⠀⠘⠀ ⠀⣾⡏⠱⣾⠀⠀⣾⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⣾⠏⠉⠉⠙⠦⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡻⣷⡹⣷⣄⠹⣶⠶⠀⢀⣾⣿⡿⢻⠁⠀⠀⠀⠀⠀⠀⠀ ⢠⡿⠁⠀⡇⠀⢀⣿⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⣀⠤⠖⠛⠉⠀⢰⣿⣍⣻⣤⡤⠤⡤⢤⣈⠙⠲⢤⡀⠀⠀⠀⠀⠀⠙⠀⢹⣾⢫⢬⡈⠓⠀⣾⢿⣿⠃⡼⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠃⠀⢰⠃⠀⢸⣿⠀⠀⠀⢸⡀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⣿⣯⣽⠡⠆⠀⣄⣑⣀⣈⣛⣦⡄⢹⣦⠀⠀⠀⠀⠀⠀⠀⠉⠳⡻⣝⠢⠄⣿⣾⠇⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠋⠀⢀⡿⠀⠀⣼⡿⡄⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣽⣧⠀⣴⣽⣭⠶⠤⠶⠦⠝⣆⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⡼⠀⠀⡄⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⠃⠀⢠⡟⣠⡇⠀⠀⢨⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⠉⠀⠈⠉⠹⢶⣒⣒⠛⠲⢆⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⡇⠀⢸⠇⠀⠀⠀⠀⠀⠀ ⠀⠞⡜⠀⠀⣾⠞⠉⡇⠀⠀⢸⣯⢿⣆⠀⠀⠀⠀⠀⠀⢀⣤⡾⠟⢷⠀⠀⠀⠀⠈⡏⠉⠛⢻⣿⣁⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣻⠁⠀⢸⠀⠀⡜⠀⠀⠈⠀⠀⠀⠀ ⠎⠰⠁⠀⣸⠃⠀⠀⢹⠀⠀⢸⡿⢷⣿⣧⡄⠀⢀⣠⡶⠟⠁⠀⠀⠸⡄⠀⠀⠀⢠⡇⠀⠀⠈⣿⣿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢿⠇⠀⠀⡜⠀⢀⠇⠀⠀⠃⠀⠀⠀⠀ ⠐⠃⠀⢀⡏⠀⠀⠀⢸⡆⠀⢸⠀⠀⠉⠙⠛⣶⣯⠋⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠋⠀⠀⠀⣼⣏⢹⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⡾⠀⠀⢸⡇⠀⢸⠀⠀⠔⠀⠀⠀⠀⠀ ⡌⠀⠀⡞⠀⠀⠀⠀⢸⡇⠀⢸⠀⠀⠀⠀⠀⣇⢸⣦⡀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣰⢃⣈⡁⠸⡄⠀⠀⠀⠀⠀⠀⢀⣴⠟⡟⢰⠃⠀⠀⣿⠃⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡈⠀⠀⠀⠀⠀⢸⡇⠀⢸⠀⠀⠀⠀⠀⣿⡞⢻⣿⣦⡀⠀⠀⠀⡇⠀⠀⠀⠀⣠⠾⡟⠁⠀⠘⠆⢱⠀⠀⠀⢀⣠⣶⡟⡽⢹⠁⡼⠀⠀⣼⡜⠀⢠⠁⠀⠂⠀⠀⠀⠀⠀⠀ ⠀⡐⠀⠀⠀⠀⠀⠀⠸⠁⠀⢸⠀⠀⠀⠀⠀⡈⡇⠀⠘⢿⣿⣦⣠⣞⠵⠛⠒⠒⡿⣣⠏⠀⠀⢀⣀⣧⠦⠴⠒⢻⠉⣿⣟⣀⡇⡼⢰⡇⠀⢠⠇⡇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⣷⡇⠀⠀⠀⠈⣿⣿⣧⣤⣤⣴⣫⣒⡤⠴⠚⠛⠉⠀⠀⠀⠀⠀⣾⠀⢹⡏⠙⢧⡇⣼⠀⠀⡸⢀⡇⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⡴⠊⠉⠀⠀⠈⠉⢲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡞⠁⠀⠀⠀⠀⣀⣀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⡤⣄⠀⠀⢰⣿⣿⠈⡇⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠦⡀⠀⠀⠀⠀ ⣼⣿⠇⣸⠞⠀⠙⠯⠥⠖⣁⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢹⠀⠀⠀⠀ ⠘⡟⠉⠻⠬⣝⣡⠤⠞⠋⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⡾⠀⠠⢸⠀⠀⠀⠀ ⠀⣧⠴⠒⠋⠁⠀⠀⠀⠀⡀⢀⠀⠹⡄⠀⠀⢀⣀⡤⣤⠇⠀⢠⣏⢴⣦⠀⠀ ⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⢹⠘⡆⠀⢹⣤⠖⢩⣀⡠⠾⠤⠤⠥⣁⠓⠚⠲⡄ ⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⢇⢹⡀⠀⠹⠄⢰⠋⠁⢀⠀⠀⠀⠈⢧⠦⠟⠁ ⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠘⡌⣇⣀⠀⠀⠀⠀⠐⠃⠀⠀⠀⠀⣸⠀⠀⠀ ⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⢠⢧⡰⡮⠝⠂⠀⠀⠐⢆⠀⠀⠀⢠⠇⠀⠀⠀ ⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠘⠛⠙⠃⠀⠀⠀⠀⠀⠀⠀⢁⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡄⢻⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠲⡶⡖⠲⠒⢛⣉⣀⣳⠸⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡇⠀⠀⠈⠓⠦⣈⡀⣳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡑⢲⠇⡇⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⢀⣴⠟⠛⠉⠉⠉⠁⠈⠉⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣯⠛⣷⡀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣶⠶⣦⠀⢀⡀⠀⣼⣿⣿⣿⡏⠀⢸⡇⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠉⠙⢳⡄⠀⠀⠀⠀⠀⠀ ⠀⣾⣿⣿⣿⠂⢸⣷⠟⠁⠀⠿⣿⣛⢛⣀⣴⠟⢁⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀ ⠐⣿⣿⡿⣋⣤⣾⠏⣠⣤⣤⠀⠈⠙⠛⢉⣠⡴⠿⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⠈⣿⠋⠉⠁⠻⣦⣴⡶⠛⣀⣤⣶⠿⠛⠉⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢠⠄⢸⠇⠀⠀⠀⠀⠀ ⠀⠀⢹⠀⢀⣀⣀⣤⡶⠾⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠐⢓⣾⠀⣀⣄⠀⠀⠀ ⠀⠀⢸⡟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⢠⣄⠀⠀⠹⣧⡀⠀⠀⠀⢀⣠⣤⡶⠶⢶⣿⠁⠀⠀⢠⣾⣧⠾⣛⣿⡇⠀⠀ ⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⠀⢿⡆⠀⠀⠸⣧⡀⣠⡶⠛⠉⠀⠀⢀⣼⣃⣀⣀⣰⣉⠈⠁⠶⠶⠾⠷⢶⣄ ⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠸⣷⠀⠀⠀⢻⣷⠟⠀⠘⠛⣶⡾⠛⠋⠉⠉⠉⠉⠙⠛⢶⣄⠀⠀⢀⣀⣿ ⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⢸⡇⠀⠀⠀⠹⣆⡈⢁⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⣧⡼⠿⠃ ⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⣿⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⢹⣧⣀⣀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⣬⣌⣉⣹⡦⠀⠀⠀⠀⠀⣤⡖⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⣷⣸⣯⠉⠁⠀⠀⠀⠀⠀⠀⠀⠑⠛⠁⣀⠀⠀⢀⣾⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠟⠋⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢀⣴⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⣷⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠷⢶⣤⣤⣤⣤⣤⣤⣤⣶⠶⠿⠛⠉⠀⢸⣆⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⠀⢰⣶⠒⠲⠶⣿⡄⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⠀⠈⠙⠳⣦⣄⡀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣤⣄⡀⢸⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠶⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⣈⣙⠿⠃⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⣸⡟⢿⣇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣶⣄⡀⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀⠀⠀⠀⣀⠀⠀⠈⠉⠻⣿⣿⣿⣿⣿⣷⣆⢿⣿⣿⣿ ⠀⠀⠀⣿⠁⠀⢻⡀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠻⣿⠛⠷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣷⣤⡀⠀⠀⠀⠀⠛⢷⡀⠀⠀⠀⠈⠓⢦⡀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣦⣿⣿⣿ ⠀⠀⣸⠁⠀⠀⠀⠻⡀⢹⣷⣄⡀⠀⠀⠀⠀⡀⢹⡆⠀⠀⠉⠛⠶⢄⣠⣤⣀⣀⡀⣀⣀⣀⣀⠈⠛⢿⣶⣄⡀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠈⢿⣿⡿⠏⠁⠀⣹⣿ ⠀⣰⡏⠀⠀⠀⠀⠀⢳⡘⣿⣿⣿⣷⣶⣤⣄⣳⣄⢱⡀⠀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠈⢳⣤⣄⣀⣀⡀⣮⣿⣦⡀⠀⣤⠻⣄⢀⣴⠏⠁⠈ ⣰⣿⠀⠀⠀⠀⠀⠀⠀⢳⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣵⡀⠀⠀⠀⠀⠀⠀⢤⣀⣈⠙⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠻⣾⣻⣇⣡⠔⠂ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⢿⢿⣄⠀⣠ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢷⣽⣻⣿⣿⣿⣿⣿⣦⡀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣮⢣⣽⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⣠⡴⠟⠁⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠉⣉⣀⣀⣀⣀⡀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣦⡈⠿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣝⢿⣿ ⣿⡇⠀⠀⣀⣤⠖⠋⠉⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢠⣴⣾⡿⠿⠛⠛⠒⠛⠿⠿⢷⣶⣦⡙⠻⣿⣿⢿⣿⣦⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡻ ⣿⡧⠴⠋⠁⠀⠀⠀⠀⣀⣤⢤⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠒⠋⠁⠀⠀⣠⣶⠿⠓⠛⠶⣤⡀⠀⠙⢿⡳⣿⣿⣷⡙⣿⣿⡆⠻⢿⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⣀⣠⡤⢶⣆⡀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⢀⣻⠁⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⢸⣿⣿⣿⣮⣻⣿⠦⣄⡙⢷⣮⣿⡿⣿⣿⣿ ⣿⡇⠀⠀⣄⣤⣶⣿⡿⠟⠛⠉⠛⠋⠀⠀⠀⠀⠀⠻⣿⡿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⣾⣏⢠⡤⠀⣧⠖⣀⠀⢹⡇⠀⠀⠈⣿⣿⣿⣿⣿⡿⣴⠋⠉⠳⣽⣿⣿⣿⣿⣿ ⣿⣇⢀⣴⡿⠿⠋⣀⠀⡒⠚⢓⢶⣄⠀⠀⠀⠀⠀⠀⠈⠻⣮⡻⢾⣿⣿⢿⣿⣧⡀⠀⠀⠀⠀⢿⠇⠸⠷⣿⡿⠋⡿⠋⠙⠃⠀⠀⠀⣿⡇⠘⣿⣿⢠⡿⣄⠀⠀⠈⣯⢿⣿⣿⣿ ⣿⣿⣿⠋⠀⠀⠘⢻⠄⣁⣤⠤⠄⢻⣧⡀⠀⠀⠀⠀⠀⠀⠈⠻⣎⠙⢿⣄⢹⣿⣷⡄⠀⠀⠀⠀⣴⣄⠀⠀⠀⠀⠳⢤⠀⠀⠀⠀⠀⡟⠃⠀⠙⣿⡜⡇⠘⡏⠐⠊⠉⠈⣿⣿⣿ ⣿⣿⡇⠀⠀⠀⣼⡿⠠⣯⣠⣞⣿⣿⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠆⠈⠻⣧⡘⣿⣦⠀⠀⠀⢈⣿⣿⣿⣿⣶⡿⠿⢠⠜⢀⡄⢠⣿⠀⠀⠀⢻⡇⠀⠀⣷⠈⠉⢓⠀⣿⣿⣿ ⡿⢻⣷⠀⠀⠀⢻⣿⠀⠘⠛⠛⠁⠅⢀⡀⠀⠀⠀⠀⠀⠀⣀⠶⠀⠀⠀⠀⠀⠀⠙⠻⣿⣷⣴⡏⠉⠳⣄⠀⠀⠀⠀⠀⠞⢠⣞⠞⠁⣿⡇⠀⠀⠈⢳⡀⠀⠘⡆⡠⠏⢠⣟⢿⡻ ⡀⠀⢻⣦⣤⡀⠈⠛⠂⠀⠀⣀⣤⣶⡿⠃⠀⠀⡀⢠⠖⠑⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣯⡒⠒⠊⠳⣄⠀⠀⠀⢰⢫⠏⠀⢰⡏⣿⡄⠀⠀⠈⢧⠀⠀⢻⡁⢀⣿⣿⣦⡙ ⣿⡀⢻⣿⠘⣟⣆⠀⠀⠚⣿⠟⠋⠁⠀⠀⡠⢏⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⠘⠀⣿⣿⡀⠀⠀⠘⡇⠀⠈⢷⣾⣿⣿⣿⣿ ⠻⣿⣾⡇⠀⡏⠉⠳⡄⠀⠀⠀⠀⠀⡠⠎⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠈⠳⣄⠀⠀⠀⢸⣿⣿⣧⠀⠀⠀⣿⠀⠀⢸⡟⣿⣿⣿⣿ ⣇⢹⡙⡇⠀⣇⢠⠁⢻⡄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⠀⠀⠀⠈⢧⡀⠀⢸⣿⠇⢻⠀⠀⠀⠘⡄⠀⠀⣧⣿⣿⣿⣿ ⣿⣿⣿⠀⠀⢻⠀⠀⠘⣿⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠛⠳⢄⣀⠀⠀⠀⠀⠈⠓⢦⡀⠀⠀⠙⢦⣸⠏⠀⠘⡇⠀⠀⠀⢻⡀⠀⢸⣿⣿⣿⣿ ⣿⡿⣿⠀⠀⢸⡄⠀⠀⡇⠉⠙⠳⠶⢤⡀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣙⣦⣀⣀⠈⠉⠓⠦⣄⠀⠀⠀⢣⡀⠀⠀⠀⠻⣄⠀⣰⣿⠀⠀⠀⠀⢧⠀⠀⢿⣿⣿⣿ ⠟⢁⡏⠀⠀⢸⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⡼⠁⢹⡇⠀⠀⠀⠀⠀⠀⣀⣀⣤⠔⠋⠁⠀⠈⠳⣤⡀⠀⠀⠀⠈⠱⣄⠀⠈⢧⡀⠀⠀⠀⠈⠻⣿⣿⣤⠀⠀⠀⠘⢧⠀⠘⣿⣿⣿ ⠀⣼⠀⠀⠀⢸⠀⠀⠀⡇⠀⠀⠁⠀⠀⣸⠃⠴⢻⠇⣰⣶⡶⠖⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢄⠀⠀⠀⠀⠓⣄⡈⢳⡀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⠀⣿⠀⠀⠀⢸⠀⠀⠘⡇⠀⠀⠀⠀⡰⠃⠀⢀⡟⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣧⡀⠀⠀⠀⠀⠙⢮⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⠀⠻⠀⠀⠀⢸⠀⠀⠀⣇⠀⠀⠀⡼⠃⠀⢀⡾⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡞⠁⠹⣄⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⠀⠀⠀⠀⠀⠸⠀⠀⠀⢸⣆⠀⣾⠁⠀⠀⢸⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠖⠚⠉⠁⠀⠀⠀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿ ⠀⡄⠀⠀⠀⠀⠀⠀⠀⠘⣿⣾⠃⠀⠀⠀⣿⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿ ⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠋⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣎ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠃⠀⠀⠀⢸⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠟⠉⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣾⡿⠛⠁⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠹⠸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠓⠶⢤⣀⣀⣀⣠⡴⢟⣹⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⡡ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡟⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠈⠉⢉⣁⣶⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠛⠦⣀⣀⣰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⣿⠁⣿⣿⣿⣿⣿⣿⣿⣿⣄⣀⣤⠾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢇⡿⢀⣿⣿⠿⣿⣿⠟⠁⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠿⠼⠗⠚⠁⠀⣼⡟⠁⠀⠀⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⡁⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⢠⣿⠟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⢠⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⡇⠉⢉⣉⠤⠤⠤⠄⠺⢟⡛⠿⢶⣶⢤⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠛⢁⣾⣿⣿⡗⠈⠁⠀⠀⠀⠒⢦⡈⠙⠟⠢⠤⣈⣽⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠁⠀⣠⣾⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠈⠳⢍⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⢀⠞⢱⣿⡻⠟⠋⠉⣉⣂⡀⢤⣉⡉⠁⠀⠤⣀⠀⠀⣿⣿⣿⡿⡄⠀⠀⠱⡈⠻⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⡴⠁⢀⠔⠁⠠⠒⢉⠅⠀⠀⠈⢧⡉⡛⢶⣄⠀⠀⠱⣌⠻⣿⣿⡇⠘⡄⠀⠀⠘⢆⠈⢻⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡞⠁⠀⠀⠀⡜⢀⠔⠁⠀⠀⢠⡾⠁⠀⢠⠂⠀⠈⢷⡌⠢⡈⠳⡄⠀⢱⡑⣌⢿⡇⠀⠘⠄⠀⠀⠈⢧⠀⠹⣦⠀⠀⠀⠀ ⠀⠀⢠⡟⠀⠀⠀⠀⡜⡐⠁⣠⠀⠀⢠⡟⠀⠀⠀⢸⠀⠀⠀⠈⢿⠀⢛⠢⡈⠀⠘⢧⠈⢦⡃⠀⠀⠀⠀⠀⠀⠘⣧⠀⠘⣧⠀⠀⠀ ⠀⢀⡟⠀⠀⠀⠀⣰⠱⠀⣸⠃⠀⢠⡛⠀⠀⠀⠀⢸⠀⠀⠀⠀⠈⡆⠈⡆⢘⢆⠀⠟⡆⠀⢿⡄⠀⠨⠀⠀⠀⠀⢿⡄⠀⠹⣆⠀⠀ ⠀⣸⠁⠀⠀⠀⢠⣏⠇⢠⡏⠀⢠⣿⣇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠐⠀⢱⠀⢫⠂⠀⢡⠀⠘⣷⠀⠀⡆⠀⠀⠀⢸⢧⠀⠀⢻⡀⠀ ⠀⡏⠀⠀⠀⠀⣾⡟⠀⣼⠀⣰⠏⢹⣿⠀⠀⠀⠀⠈⡆⠀⣳⡀⠀⠀⠀⠀⡄⠈⠆⢱⠸⠀⠀⢹⣇⠀⢁⠀⠀⠀⢨⠈⡆⠀⠘⡇⠀ ⠀⠇⠀⠀⠀⢰⢻⡇⠀⣇⣼⠃⡀⢸⡟⡆⠀⠀⠀⠀⣷⠀⠺⣷⡀⠀⠀⠀⢇⠀⠘⡤⠘⣆⠀⠀⠸⡀⢈⠀⠀⠀⢸⠀⢣⠀⠀⡇⠀ ⢸⠀⠀⠀⠀⡜⢸⠁⢰⡿⢁⣀⡘⢾⣿⣣⠀⠀⠀⠀⢹⡀⠀⠈⢿⡄⠀⠀⢼⠀⠀⠹⡄⠛⡆⠀⠀⣧⡄⠁⠀⠀⠈⠀⢸⠀⠀⡇⠀ ⠀⡆⠀⠀⢀⡇⠘⠀⢸⣿⠋⢉⣿⣿⣿⢫⢇⠀⠀⠀⠈⡇⠀⠀⠀⠙⢄⠀⠈⣆⠀⠀⣧⡇⠙⡄⠀⢹⣷⡀⠀⠀⠠⡇⠈⠀⠀⡇⠀ ⠀⣇⠀⠀⢸⠀⢠⠀⢸⢻⢧⠈⢿⣿⣿⣆⢪⠆⠀⠀⠀⢙⣶⠄⠐⠂⠀⠷⢄⢹⣧⡀⡏⢿⡆⠘⣆⢸⣿⡇⠀⠀⠀⢱⠀⡇⢀⡇⠀ ⠀⢻⡀⠀⢸⠀⠘⠀⠘⠀⠀⠓⠂⠁⠀⠘⣄⠛⡄⠀⠀⠘⣿⡼⠟⢻⣿⣶⢾⣿⣮⣿⡇⣀⠑⣤⣿⢿⣷⠘⡄⠀⢸⢸⡇⢢⣸⠀⠀ ⠀⠈⣧⠀⣼⠀⢰⠀⠀⠆⠀⠀⠀⠀⠀⣰⠛⣆⠀⠀⠀⠀⢹⠀⠀⠹⡧⣏⣿⡟⠻⣯⡁⠉⣹⣿⣇⢀⠙⣧⡇⠀⢸⢸⢣⣾⠇⠀⠀ ⠀⠀⠘⣧⣿⡀⢸⠀⠀⡇⠀⠀⠀⠀⠼⠃⠀⠘⢄⡄⠀⠀⠀⡇⠈⠒⢬⣉⡭⠖⠂⠀⠉⠉⠁⠔⠊⠼⢛⡟⠀⠀⣿⠈⡈⣿⠀⠀⠀ ⠀⠀⠀⠀⣿⣧⣸⡀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠈⢎⡆⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⣰⢠⠐⠂⣠⣶⣿⡇⠀⢠⣏⠀⠙⢿⡆⠀⠀ ⠀⠀⠀⠀⢻⣛⣿⡇⠀⡏⠱⡄⠀⢀⡀⠀⠀⠀⠀⠈⢿⡀⠀⢸⠀⠀⠀⠀⠀⠀⢠⣾⢿⠤⢶⢿⣼⡿⣿⡇⠀⢸⡟⠉⠀⠸⣇⠀⠀ ⠀⠀⠀⠀⢸⠿⣾⡇⠀⡇⠉⠙⣆⠀⣿⠉⣒⠢⣤⣄⣸⣧⢀⣾⠀⠀⠀⠀⣀⣴⡿⠇⢸⣠⡇⠀⢹⣿⣿⡀⠀⣾⣇⠀⡃⠀⢿⠀⠀ ⠀⠀⠀⠀⡇⠀⠘⡇⠀⠇⠀⢰⣿⣆⡇⠀⠁⣀⠾⠚⠉⣿⠾⠃⢀⣀⡤⣾⣿⠏⠀⠀⢸⣿⡇⠀⣿⡇⢸⠀⠀⣿⠙⡄⡆⠀⠸⡇⠀ ⠀⠀⠀⠀⢣⠀⠀⢱⠀⡀⠀⢸⣏⡏⣏⠢⠚⠁⠀⢀⣠⡥⠶⠎⢹⣉⣤⠿⠁⠀⠀⠀⢸⠟⠁⢸⣿⠇⣼⠀⠀⣿⠷⣿⡇⠀⠀⢳⠀ ⠀⠀⠀⠀⠈⢆⠀⠸⠀⡇⠀⢸⠉⢇⠈⠑⠒⢺⢿⣿⡟⠀⠀⢠⣼⠋⠀⠐⠀⠆⠄⠀⣼⠀⠀⣾⡏⢀⡇⠀⢸⠟⢆⠈⢻⣄⠀⠈⠆ ⠀⠀⠀⠀⠀⠈⠇⠀⠀⠷⠀⢾⠀⠘⡄⠀⣰⣇⢈⡟⢸⢀⣖⣉⠚⠣⠄⠀⠀⠀⠀⡼⢹⠀⣠⣿⠟⠉⡇⢠⡏⠀⠀⠑⣌⠎⠓⣄⠰

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣴⡞⠉⠉⢠⡾⢷⡀⠉⠙⢳⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⣴⠏⠻⢷⣦⣤⣾⣀⣀⣧⣤⣴⡾⠟⢹⣆⠀⠀⠀ ⠀⠀⠀⣿⡀⠀⠀⠈⠉⣿⠉⠉⣿⠉⠁⠀⠀⢠⣿⠀⠀⠀ ⠀⠀⠀⠘⢷⣄⠀⠀⠀⢻⣄⣠⡟⠀⠀⠀⣠⡾⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠲⠤⠬⢿⡿⠥⠤⠖⠋⠁⠀⠀⠀⠀⠀ ⣤⣀⣀⠀⣠⣤⡀⢠⡀⢀⡠⢀⣤⣄⡀⣄⣀⣀⠀⣀⡀⠀ ⠀⣿⠀⢸⡇⠀⣹⠄⢻⡞⠁⣿⠀⢈⡷⠀⣿⠀⢰⣏⣿⡀ ⠀⠛⠀⠀⠙⠛⠋⠀⠘⠃⠀⠈⠛⠛⠁⠀⠛⠀⠛⠀⠈⠓

⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⠤⠶⠚⢻⠏⠁⢸⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⠹⡄⢣⠀⠀⠀⠀⠀⠘⣆⠀⠙⡄⠀⠀⠀⠀⢹⠀⠀⠀⠀ ⠐⠒⠒⠊⠉⠉⡿⠀⢠⠃⠀⠀⠀⣾⡄⠀⢸⢀⡀⠀⠀⠀⢸⣳⡀⠀⠀⠀⢠⡹⣌⡀⠐⣆⠀⠀⠀⡘⣆⠀⠘⣄⠀⠀⠀⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠘⠀⠀⠀⢀⣿⡇⠀⢸⡀⡇⠀⠀⠀⠈⣽⣧⠀⠀⠀⠀⢻⣿⡇⠀⢹⣆⠀⠀⠱⣼⡄⠀⠘⡄⠀⠀⠻⠢⣄⠀⠀ ⠀⠀⠀⠀⠀⢀⡇⠀⡀⠀⠀⠀⢸⠙⢿⠀⠀⣇⣧⠀⠀⠀⠀⢿⢼⡆⠀⠀⠀⠘⣿⡇⠀⣸⣼⡄⢀⡀⢻⣷⠀⠀⠹⡀⠀⠀⠀⠘⡄⠀ ⠀⠀⠀⠀⠀⣾⣧⠀⡇⠀⠀⠀⢸⠀⠘⣧⠀⢻⣿⡀⠀⠀⠀⣸⣶⣷⠾⠛⠙⠲⢯⣿⢀⡇⠀⠻⠋⢻⢻⡿⡇⠀⠀⢧⠀⠀⠀⠀⠣⠴ ⠀⠀⠀⠀⢰⣿⣾⡄⢡⠀⠀⠀⢸⣄⣀⣈⣧⣸⡿⣇⢀⣤⠴⠿⢿⠀⢀⣀⣤⣴⠾⠿⣿⠁⠀⠀⠀⠘⡆⠃⢻⠀⠀⠸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⣹⣿⣸⡀⠀⠀⠘⡍⠁⠀⢻⡿⣧⡹⠋⢀⠈⢠⠀⣈⣽⢟⣩⣴⣶⣾⠿⣶⣶⣦⣄⡀⢷⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⢸⠟⠋⠈⠻⣷⠚⠉⠙⢧⠀⠀⠐⣷⡈⠙⠉⠉⠉⠉⢉⣟⣵⡿⡿⠿⢉⠇⠀⠀⠀⠈⢻⣷⢺⠀⢸⠀⠀⠀⠸⣇⠀⠀⠀⠀ ⠀⠀⡀⢸⣼⠇⠀⢀⣀⣤⣴⣶⡶⣶⣄⠀⠀⠉⡇⠀⠀⠀⠀⠀⠈⣾⠟⠷⢤⡤⠊⠀⠀⠀⠀⠀⣼⠃⢸⠀⡞⠀⢠⠀⠀⢿⡄⠀⠀⠀ ⠟⠉⢹⣿⣿⣧⣴⣿⠿⠿⣿⢿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⣀⣤⣶⢶⡶⢶⡶⢆⣵⣤⡈⣧⣷⠀⡘⠀⠀⢸⣷⠀⠀⠀ ⠀⠀⢠⣿⣾⣿⣿⠁⠀⠀⠙⠢⠬⠤⠃⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣯⠟⣡⠒⡠⢎⡴⣛⢫⢟⣴⡿⣿⠀⡇⠀⠀⠸⡟⣷⡄⠀ ⠀⠀⡈⣿⠈⠻⣿⡆⢀⣠⣤⣴⠖⢠⡄⢀⠞⠈⢣⠀⠀⠀⠀⠀⣠⣾⣿⠟⣡⠞⡡⢊⡴⢋⢈⣽⠿⣩⠏⠀⠸⣿⠀⠀⠀⠀⡇⠸⣿⠀ ⠀⠀⡇⢹⣄⠀⡸⢓⡾⢁⡰⢃⡶⡻⡷⠣⠀⠀⠀⠀⠀⠀⢀⠞⠿⠝⠡⠊⡡⠊⡠⠋⡾⡡⠋⠀⢺⣷⠃⠀⢠⠇⢀⡇⠀⠀⡇⠀⣿⢷ ⠀⠀⢳⣘⢿⡄⠀⣝⣴⡟⣩⢏⣞⠕⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠁⢸⠞⠀⠀⠀⠀⠉⠀⣠⠋⣠⣾⡇⠀⠀⣇⠀⢸⣧ ⡀⠀⢻⣿⣾⣷⠊⣾⠏⡴⠃⡻⠋⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠤⠤⣀⡀⠀⠀⠀⣠⠃⠀⠀⠀⠀⢀⣠⣶⠕⠋⢸⠯⡇⠀⠀⣿⠀⡸⢿ ⡇⠀⠸⣿⣿⡟⠿⣅⡞⠀⠐⠁⠀⠀⠀⠀⠀⡠⠚⣡⣤⣶⣶⣶⣶⣦⣼⣷⣾⣿⡇⠀⠀⠀⠘⠋⠉⠁⠀⠀⠀⢻⡆⡇⠀⠀⡇⢁⠁⠀ ⢻⡄⠀⠹⡿⣿⡀⠀⠉⠋⠀⡀⠀⠀⠈⢷⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⣾⡇⡇⠀⠀⡇⠘⡄⠀ ⠀⣿⠦⣀⠙⢿⣷⡀⠀⠀⡀⡇⠀⠀⠀⠀⠻⣿⣿⠟⠙⢿⣿⡿⠛⠉⠁⢹⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣷⠀⠀⡇⠀⠱⡀ ⣾⣿⠀⠈⢑⣦⣉⣻⢤⣀⣉⣡⠄⠀⠀⠀⠀⢻⡟⠀⠀⢸⡟⠀⠠⢰⠀⣿⡇⠀⠀⠀⠀⠀⠀⠓⠃⠀⣠⣿⣿⣿⡟⣿⠀⠀⡇⠀⠀⠱ ⡿⠃⠀⣠⣿⣿⣿⣿⣿⣿⣅⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⢸⠇⠀⠀⡸⢶⣿⡀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣧⣼⢇⣴⡷⣀⠀⠀ ⠙⠲⢿⣿⣭⣭⣽⣯⣹⡗⠀⢹⣦⣄⠀⠀⠀⠸⡀⠀⠀⣼⠀⠀⠀⠁⡸⢧⡽⠀⠀⠀⠀⢀⣴⣿⣿⣿⣏⣻⣿⣿⣿⡿⢸⣿⣧⡻⣷⣄ ⠀⠀⠀⠈⠙⠿⣿⣿⣿⠇⢠⣿⣿⣿⣷⣦⣀⠀⣇⠀⠀⠙⠀⠀⡠⠞⠁⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠃⣿⣿⠏⣷⡈⠉ ⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⡿⣿⣿⣿⣿⣿⣿⣷⣾⡄⠀⠀⢠⡞⠀⠀⠀⠀⣠⡴⠛⣛⣻⡿⠿⠟⠛⠉⠉⠀⠀⠀⠀⣸⣿⡟⠃⠈⢿⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠆⠉⠙⠻⠟⠛⠻⠟⠛⢆⠀⠘⣅⣠⣤⣶⣿⠷⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠂⠀⠀⠀⡙ ⠀⠀⠐⠤⡤⠀⠀⠀⠀⠀⠀⠀⠐⣦⣀⠀⡀⠀⠀⠀⠈⣧⠀⣟⠋⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠇⠀⠄⠠⠀⠄

➖🟨🟨🟨 🟨⬜⬜⬜🟨 ⬛⬜⬛⬜⬛ 🟨⬜⬜⬜🟨 🟨🟨🟨🟨🟨 🟦🟦🟦🟦🟦 🟨🟦🟦🟦🟨 🟨🟦🟦🟦🟨 🟦🟦🟦🟦🟦 ➖🟦➖🟦 ⬛⬛➖⬛⬛

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⣾⠟⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣦⡿⣾⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣧⡀⣿⡇⠀⠀⠀⢠⣤⠀⠻⣷⡄ ⠋⠀⠀⠀⠀⠀⠸⣆⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣶⣬⡉⠙⣷⡄⠀⠀⠀⠀⠈⠛⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⡁⠀⢀⣤⣤⡈⡆⠀⠹⡇ ⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡿⢿⣶⣮⣿⣦⡀⠀⠀⠀⠀⠳⣆⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠿⣿⣿⣿⣷⠀⠀⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠘⢦⣤⣀⠀⠀⠀⠻⢿⣴⣞⡛⠿⢿⣿⣦⡀⠀⠀⠀⢹⣿⠳⣤⠀⠀⠀⠀⢠⣄⡀⠀⠀⠀⠀⠀⡀⠈⠙⠛⠿⣤⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣆⠀⠈⠷⡀⠀⠀⠀⠀⠀⠀⠀⢈⣹⣽⠷⠶⠶⠒⠀⠈⣁⡀⠰⠶⠿⣽⡀⠀⠀⠀⢿⣷⣮⣁⠀⠀⠀⠀⠙⣿⣷⣦⣤⣶⣊⣉⣉⣛⣶⣶⣶⠿⣍ ⠀⠀⠀⠀⠀⢀⡀⠀⠀⣿⠉⠻⢦⣀⣀⠙⢦⡀⠀⠀⣀⡤⢖⡏⠀⠙⠳⣄⠀⠀⠀⠀⠉⠙⠛⠓⠒⠾⣧⠀⠀⠀⠀⠙⠊⠙⢷⡄⠀⠀⠀⠈⠻⣿⡟⠀⠀⣨⣿⣿⣍⠉⢿⡟⠉ ⠀⠀⠀⠀⠀⠘⡇⠀⠀⢸⠀⠀⠀⠉⠳⣝⡲⢤⣤⣠⣞⠛⠁⠈⠣⣀⠀⠈⠙⢦⡀⠀⠀⣰⠗⠂⠀⠀⠈⠃⠀⠀⢹⣦⣀⠀⠀⠁⠀⠀⠀⠀⠀⠈⢷⣠⢾⣇⡙⠛⠻⢷⡄⠻⣆ ⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⣇⠀⠀⠀⠀⠀⣽⣿⣾⣿⠉⠑⠒⠲⢦⣌⣶⣤⠶⠂⢈⣰⣾⣁⣠⣀⣤⣴⡖⠁⠀⠀⢸⡟⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⡿⣄⠈⠓⠶⣄⠀⣿⠀⠨ ⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⢹⡄⠀⠀⠀⠘⠁⣸⡏⠀⠀⠀⢀⡤⠚⢻⣤⣿⣯⣿⣿⣽⣾⣿⣿⡏⠉⣿⢉⠀⠀⠀⢸⡇⠀⠀⠉⠓⢆⠀⠀⠀⠀⠰⣦⡉⠘⢦⡀⠀⠈⣷⣿⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠈⢷⡀⠀⢣⠀⠀⠀⣠⣾⣯⣁⠀⠀⣼⡿⣳⣶⣿⣿⡿⠿⣿⣿⣿⡟⠁⣽⠇⣸⡿⣋⡀⠀⠀⠈⠁⠀⠀⠀⠸⣆⠻⣄⠀⠀⠀⣯⠙⢦⡀⢳⡀⠀⢸⡌⢀⣾ ⡇⠀⠀⢰⡆⠀⠀⠀⠀⠻⣆⠘⣇⠀⢰⣿⣿⣿⣿⡷⢾⣿⠧⣴⣿⠛⢁⡄⠈⠉⠉⠁⠀⣠⡿⣰⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠻⡗⡄⠀⢹⠀⠀⠙⢾⣷⡀⠀⡇⢾⣿ ⡇⠀⠀⢸⣿⣀⣸⣄⠀⠀⣙⢷⣜⠦⠈⠻⣿⣯⡀⠀⠨⠃⢀⣿⠇⠀⠘⢿⣀⣀⣀⣠⣾⣵⡾⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠹⡾⡆⣸⠀⠈⣦⣀⣙⣷⡰⣷⠈⣿ ⣿⡀⠀⠈⣿⣿⡟⢿⣷⣄⠈⢳⣌⠷⣄⠀⠈⠉⠁⠀⠀⠰⢿⡟⠀⠀⠀⣀⣽⠟⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⢳⡄⡟⡆⢰⣿⠟⠉⠀⠹⡏⠀⢸ ⣿⣷⠀⠀⢿⣿⣷⣌⣿⣿⣿⣦⣜⣷⣈⡀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠁⠀⠀⠀⠀⠀⣰⠃⠀⠘ ⣿⡝⣧⢠⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠻⠀⠀⢀⣀⣀⣤⣴⠋⠀⠀⠀ ⠁⠙⠙⢷⣷⡸⣿⣿⣿⣿⣿⣿⣿⣿⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠂⠀⢠⠏⠉⠁⡇⣿⠀⣼⣃⡀ ⡆⠀⠀⠀⠻⠀⢹⣿⣿⠉⢏⣹⠟⠛⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⣾⡷⠋⠀ ⡟⠄⠀⠀⠀⠀⠀⢻⣿⣄⠈⠛⠷⣤⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⡄⠀ ⣧⠀⢀⠀⠀⠀⠀⠀⠘⠻⣿⠦⢴⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡹⣆ ⢿⡄⠈⢦⡀⠀⠀⠀⠘⢶⣍⣁⡾⢤⡀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⢸ ⠈⢻⡄⠀⢳⣄⢀⡀⠀⠀⠀⠙⠿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧ ⠀⠀⠻⠀⠈⣿⣮⡻⢦⣀⡀⠀⠀⠈⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿ ⠀⠀⠀⠀⠻⣿⢸⣿⣦⣛⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿ ⠀⠀⠀⠀⠀⢸⢸⣿⣿⣿⣛⡻⠆⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠖⢠⣤⠶⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠀⠸⢸⣿⣿⣿⢻⣿⡟⢧⡀⠀⠀⠀⠀⠀⠘⣯⣥⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿ ⠀⠀⠀⠀⠀⡄⢸⣿⣿⣿⡜⣿⡇⠀⣿⣦⡀⠀⠀⠀⠀⠈⠋⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⢠⡇⠈⢿⣟⢿⣷⣻⣷⠀⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠙⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⢠⡞⠀⠀⠀⠸⣄⠁⢀⣿⣄⠸⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣶⣶⣾⣿⣿⣿⣿ ⠀⠀⢀⡟⠀⠀⠀⠀⠀⠙⢶⣿⣷⣝⠀⠻⢿⣿⣿⣿⣿⣷⣤⣤⣤⣴⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⣀⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣷⣤⡼⠿⠛⠛⢉⣦⡶⣿⡉⡉⠉⠛⠶⣤⣄⠀⠀⣀⢀⣠⣴⣿⣿⣝⠛⠛⠿⣿⣿⣦⡤⠀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⡇⠀⠀⠀⢰⣤⠀⠀⠀⠀⠈⠻⣿⣤⣤⣤⣤⣶⣿⣿⣿⣿⣾⣿⣭⣒⠦⠬⠿⠷⣀⠈⠻⣿⣿⣿⣿⣿⣷⣦⡀⠈⠉⠉⣡⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠛⠛ ⠀⠀⡇⠀⠀⠀⢸⣿⣤⠀⠀⠀⠀⠀⠻⣿⡟⡿⠿⣤⣿⣿⣿⠟⠻⣯⣙⠛⠻⣶⣤⣄⠀⢄⠀⠘⣿⣿⡿⠿⣿⣿⣿⣄⣠⣾⣿⣿⣿⣿⣿⣿⡿⠟⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣟⣿⣷⣄⠰⣷⣄⣀⣀⣙⢿⡇⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⢙⠿⡿⣾⡇⠀⢹⣭⣿⣷⣾⣿⣿⣿⣿⣿⣿⣷⣽⣿⣿⣿⣧⣤⣶⣦⣤⣤⣄⡀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⣤⣀⣴⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠻⢷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢹⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⡿⠿⠛⠛⠛⠻⠿⣿⣿⣿⣿⣿⡇⠀⢀⡾⠋⣡⠼⠿⠿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣠⣶⣿⡿⠋⣡⡴⠖⠒⠒⠲⠤⣄⡀⠙⠻⣿⣿⣇⠀⢸⠁⢸⠇⠀⣠⡤⠤⣝⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⢀⡞⠁⢀⡤⠖⠒⠒⠶⢤⣍⠳⣤⡈⠻⣿⡄⢸⡆⢸⡀⢸⡇⢠⡶⠲⢽⣿⣿⣦⠀⠀⠀⠀⠀ ⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢀⡟⠀⢰⠋⠀⣀⣤⠤⢤⣄⡈⠛⢦⡙⢦⡘⢷⡀⣷⠈⣧⠘⣧⠘⣇⢸⣿⣿⣿⣿⣷⡀⠀⠀⠀ ⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢸⠇⠀⡿⠀⢰⠏⠀⠀⣀⣄⣙⢷⣄⠹⣎⢳⡄⠻⣼⣧⠘⣆⠘⣦⠘⣎⠻⠵⠇⢹⠘⣿⡄⠀⠀ ⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢸⡀⠀⢿⠀⢸⡆⠀⢸⡏⠀⣬⣿⣿⣷⡘⣧⢻⡄⠻⣿⣧⡈⢧⡈⠳⣌⠓⠦⠤⠼⠀⡟⢿⡄⠀ ⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⠀⠈⣇⠀⠸⡆⠀⢷⡀⠘⣧⠀⣇⠹⠏⢿⣵⠸⡆⢷⠀⢹⠻⣷⣄⠙⢦⡈⠛⠦⣤⣤⡴⠇⢸⣧⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢹⡄⠀⠹⡄⠈⢳⡄⠈⠳⣌⠳⠦⠟⣸⠀⡇⢸⡆⠈⡇⠈⠙⢷⣦⣉⠓⠶⢤⣄⣠⠴⢻⣿⡆ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢻⡄⠀⠙⣆⠀⠙⢦⡀⠈⠛⠒⠚⠋⢀⡇⢸⡇⠀⡇⠀⠀⠀⠉⠛⠿⣶⣶⣤⣤⠴⠃⢸⣇ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠹⣦⠀⠈⠳⣄⠀⠙⠳⢤⣄⣀⣤⠞⢁⡾⠀⢸⠃⠀⠀⠀⠀⣤⣾⣿⣿⣿⣿⣦⠀⠸⣿ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠈⠳⣄⡀⠈⠓⠦⣤⣀⣀⣀⣀⡤⠞⠁⢠⠏⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡇⢰⡿ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠙⠲⢤⣀⣀⣀⡀⢀⣀⣠⠄⣰⠏⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⠃⣸⡇ ⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⣀⣉⣉⣉⣥⠴⠋⠁⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⡿⠿⠛⠁⢀⣿⠃ ⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⣰⡿⠀⠀ ⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠚⠁⠀⣴⡟⠀⠀⠀ ⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠞⠋⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠛⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣁⣀⡤⠀⠀⣠⣴⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛⠛⠛⠿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠿⠛⠉⢀⣤⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⣿⣶⣶⣶⣶⣶⣶⡶⠶⠶⠾⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠘⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠀⠀⠀⠀⡄⢸⠀⠀⢢⠀⠉⠻⣧⠀⣿⣿ ⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⢀⠔⠂⢀⠀⠀⠀⠀⢀⠔⠀⠀⠀⡴⡇⠀⠀⠀⢰⠁⡸⠀⠀⠐⣧⠀⠀⠘⢧⣿⣿ ⣷⡀⠀⠀⠀⠀⠀⠀⡀⠁⠀⠀⢠⠎⠀⠀⠀⢀⠔⠁⢀⠔⠁⠀⠀⢀⠴⠃⠀⠀⢀⡞⠀⠁⠀⠀⢠⠃⠀⡇⠘⡆⠀⠙⣧⠀⠀⠀⢻⣿ ⡿⠃⠀⠀⠀⠀⢀⠎⠀⠀⠀⡴⠁⠀⠀⢀⠔⠁⠀⡴⠁⠀⢀⣤⠞⠁⠀⠀⢀⡴⠛⠁⢰⠁⠀⢀⠎⠀⣸⠇⠀⢣⠀⠀⠘⡆⠀⠀⠀⠹ ⠀⠀⠀⠀⠀⠀⠊⠀⠀⢀⡜⠁⠀⠀⡠⠋⠀⢀⠎⣠⠴⢊⠝⠁⠀⠀⠀⣴⠋⠀⠀⠄⡎⠀⠀⡜⠀⢠⠇⢤⠀⠈⡆⠀⠀⢸⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⡔⠁⠀⣰⣿⣿⣤⠔⠁⠀⠀⢀⡴⠊⠉⠛⠉⠁⢰⠀⠀⡰⠁⢀⡞⠀⢸⡀⠀⠸⡀⠀⠈⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⢀⠞⠀⠀⣼⠋⢹⠟⠁⠀⠀⢀⣴⣏⠀⠀⠀⠀⠀⠀⡎⠀⣰⠁⠀⡜⠀⠛⠙⡇⠀⠀⠃⠀⠀⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠎⢀⠆⠀⢠⠎⠀⠀⡾⣿⠞⠁⠀⠀⢀⣴⣿⣿⣿⡙⢦⡀⠀⠀⠰⠀⡰⠁⠀⡜⠀⠀⠀⠀⣷⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠞⠁⣠⠎⢠⢦⠃⠀⠀⣼⡔⠁⠀⠀⣠⠞⠉⡏⠹⣙⣿⣿⡍⠻⠀⢠⠃⡰⠁⠀⡰⠁⠀⠀⠀⢀⣘⣇⠀⠀⡇⠀⠀⠀⠀⠀ ⡀⠔⠉⢀⡠⢾⡟⢀⡿⠃⠀⠀⡼⠋⠀⢀⡴⡊⠀⠀⠀⠙⠦⠤⠾⠻⠗⠀⢠⢇⡜⠀⠀⡴⠁⠀⠀⠀⠀⠀⠈⣿⣄⠀⢣⠀⡆⠀⠀⠀ ⡰⠂⠋⠛⠀⢸⢁⠜⠀⢀⡜⣸⢋⣠⣾⣯⡟⠉⠑⠦⢄⣀⡀⠀⡀⠀⠀⢠⠓⠋⠀⢀⡞⠀⠀⠀⢀⡀⠀⠀⠀⠈⢽⣇⢸⣤⠁⠀⠀⠀ ⠁⠊⠀⠀⠀⡾⠊⠀⡠⠊⢠⣷⠋⣿⡏⠁⠑⢶⡄⢀⠲⡀⠉⠑⣟⢄⣰⠃⠀⠀⣰⠟⠀⠀⠀⣀⣀⣉⣉⣒⠢⣀⠀⢣⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⣠⠞⢁⡠⠊⠀⠀⡘⠨⠛⠁⠙⢧⠲⡷⣵⣤⡱⣌⢞⠀⡸⡼⠁⠀⣠⣞⠁⠀⡄⠀⠘⡟⡿⢿⣿⣿⣿⣿⣥⠄⣧⡟⠀⠀⠀⠀ ⠖⠶⠏⣴⡞⠉⡇⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠙⠋⣱⠋⠀⢀⣼⣿⢻⣦⡄⠻⣆⠀⠹⢿⠿⠟⠁⠀⠹⣿⣶⣿⠃⠀⠀⠀⠀ ⢇⠀⠀⢸⠇⠀⠇⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⢁⣠⠾⠟⠹⡴⣵⣝⣿⣷⣿⠳⡀⠀⠀⠀⠀⠀⣠⣿⣿⡟⠀⠀⠀⠀⠀ ⠈⣧⡀⢹⠀⢰⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣖⣥⡖⠉⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣧⡘⢶⡤⠤⡤⠞⣹⣿⣿⠇⠀⠀⠀⠠⠀ ⢀⡿⠉⡿⠀⢸⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣠⠴⠟⣻⣅⡀⠈⠓⠢⠤⣀⡀⠀⠀⠀⠀⠙⢝⠿⣿⣦⠙⢶⠂⣰⣿⡿⢻⠀⠀⠀⠀⠀⠀ ⣼⠃⢀⠇⠀⣾⠀⠀⠀⡇⠀⠀⠀⠀⠒⠉⠀⠀⢰⣿⣳⢛⠋⠉⠛⠒⣦⣉⠓⣄⠀⠀⠀⠀⠀⠛⢿⣷⡄⠀⣿⡿⠁⡆⠀⠀⠀⠀⠀⠀ ⠋⠀⡼⠀⢠⣿⡇⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣽⣄⣠⡿⡽⠭⠤⠬⢧⣈⣆⠀⠀⠀⠀⠀⠀⠀⠁⢰⣿⠃⢰⠁⢠⠀⠀⠀⠀⠀ ⠀⣰⡇⠀⣼⣥⡇⠀⠀⣿⣄⠀⠀⠀⠀⠀⠀⠀⣸⡅⠀⠀⠉⢻⡿⣏⣑⣺⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⣾⠇⠀⡎⠀⡈⠀⠀⠀⠀⠀ ⠔⠉⠀⢰⠏⠀⢣⠀⠀⣿⣿⣦⡀⠀⠀⣀⡴⠟⠉⢹⡀⠀⠀⢸⠇⠀⠘⣿⡾⠏⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⢠⠃⠀⠃⠀⠀⠀⠀⠀ ⠠⠀⢀⠏⠀⠀⢸⠀⠀⡏⠉⠛⠻⣶⡞⠋⠀⠀⠀⠀⡇⠀⠀⠊⠀⠀⢰⡋⢷⠀⠀⠀⠀⠀⠀⠀⢀⣴⢻⠃⠀⡼⠀⢀⠀⠀⠀⠀⠀⠀ ⠂⠀⠈⠀⠀⠀⢸⠀⠀⡇⠀⠀⠀⣯⣵⣄⠀⠀⠀⠀⡇⠀⠀⠀⠀⣰⡣⠠⡀⢆⠀⠀⠀⠀⢀⣴⢟⠇⡌⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⠀⢠⠀⠀⠀⠀⢻⡇⠻⣷⣄⡀⣠⣧⣄⣀⣤⢾⠏⠀⠀⢉⣸⣀⣠⡤⣶⡟⡹⡺⢰⠁⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣾⠀⠀⠈⢹⣿⣯⣀⣠⣔⣑⡥⠔⠒⠊⠉⠁⠀⢠⠁⢹⡟⢳⡇⡜⠀⠸⢸⠀⢠⠀⠀⠀⠀⠀⠀⠀

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⡿⠃⠀⠀⠸⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣦⡳⢿⣦⣀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢧⣸⡇⠀⠀⠠⢤⠀⢻⡄ ⠁⠀⠀⠀⠀⠱⡄⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣾⣿⣦⣘⣷⡀⠀⠀⠀⠨⣝⠶⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⢄⣴⣶⣦⡇⠀⡇ ⠀⠀⠀⠀⠀⠀⠘⣆⠀⠙⣄⠀⠀⠀⠀⠀⠐⢤⣀⠀⠀⠹⢷⣍⣿⠿⢿⣦⡀⠀⠀⠘⣷⢦⡀⠀⠀⠀⣄⡀⠀⠀⠀⠀⠉⠛⠿⢧⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀⠘⢦⠀⠀⠀⠀⠀⢀⡩⣿⡓⠒⠒⠀⢈⣀⣐⡚⠿⡆⠀⠀⠹⣷⣮⡀⠀⠀⠈⢿⣷⣤⠴⠮⢍⣙⣳⣶⣚⣫ ⠀⠀⠀⠀⢰⠀⠀⢧⠈⠙⢦⡢⣕⠂⠀⢰⣮⠝⢌⠀⠙⠦⡀⠀⠀⠀⣌⠉⠉⠹⡀⠀⢠⡈⠁⠈⠂⠀⠀⠀⠙⢿⠀⣠⡾⣿⣦⡀⢻⡀ ⠀⠀⠀⠀⠘⡆⠀⠸⡀⠀⠀⠈⢓⣿⣿⡓⠢⠤⢄⣑⣤⡠⠬⢐⣤⣞⣁⣀⣀⡤⠂⠀⠈⡿⢶⣄⠀⠀⠀⠀⠀⠀⠹⡉⠓⠤⣀⠙⡆⢙ ⠀⠀⠀⠀⠀⢹⡄⠀⢇⠀⠀⠀⠋⣽⠃⠀⢀⣠⠖⢻⣼⣿⣿⣿⣿⣿⣿⠉⢹⣏⠀⠀⢀⡇⠀⠈⢓⢄⡀⠀⠀⢰⣌⠘⢦⠀⠈⣆⡇⢀ ⡀⠀⢀⡀⠀⠀⠹⣄⠘⡄⠀⣰⣿⣷⣦⣀⣼⠛⣻⣿⠟⠛⠿⠿⠟⠀⣾⢠⣿⠵⠂⠀⠀⠀⠀⠀⠘⣆⢱⣆⠀⠸⡈⠓⢄⣧⠀⢸⢀⣿ ⡇⠀⢸⣧⢀⣄⠀⠈⠦⣙⡄⠻⣿⣟⠉⠉⡏⢹⣽⠁⠸⡆⠀⠀⣠⣞⣽⠿⠅⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⢱⢳⣀⡇⢠⣄⠙⣇⢸⡌⣿ ⣷⠀⠈⢿⣿⢻⣷⣄⠙⢎⠣⡀⠈⠉⠀⠀⠰⢻⠃⠀⢀⡨⠟⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⣧⣽⢇⠸⠿⠋⠁⢳⠁⢸ ⣿⣇⠀⢸⣿⣷⣿⣿⣿⣶⣵⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠘⠀⠀⠀⠀⢀⡜⠀⠈ ⠛⠞⢯⣧⢻⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⢀⠖⠒⢺⡟⠀⡤⠀ ⡆⠀⠀⠻⠈⣿⣿⠹⣫⡟⠛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⣾⠎⠀ ⡏⠀⠀⠀⠀⠘⢿⣦⣈⠛⣲⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⡀ ⣿⠀⢆⠀⠀⠀⠠⣝⠫⣽⣋⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⢳ ⠘⣧⠈⢣⡀⣀⠀⠀⠙⠳⣶⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧ ⠀⠈⠢⣈⡿⣍⡳⣤⣄⠀⠈⠁⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠈⡇⣿⣿⣾⠷⡄⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⣀⠠⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿ ⠀⠀⠀⠀⠇⣿⣿⣿⣷⡖⢦⠀⠀⠀⠀⠀⢯⣥⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿ ⠀⠀⠀⠀⡆⢿⣿⣿⢹⣿⠘⣷⣤⡀⠀⠀⠈⠁⠀⢤⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻ ⠀⠀⠀⡼⠀⠘⢳⡹⠋⢿⡀⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡁⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣼ ⠀⠀⡜⠁⠀⠀⠀⠳⣼⣷⡗⠘⢿⣿⣿⣿⣦⣤⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⠁⠀⠀⠀⢀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⠁⠀⠀⠀⠀⠀⠈⠿⣿⡶⠴⠛⠛⣩⣵⣾⣍⡉⣉⡛⠶⢄⡀⠠⣠⣴⣾⣿⣍⡙⠛⢿⣿⣶⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢸⠀⠀⠀⣿⡀⠀⠀⠀⠘⣿⡿⣿⣟⣻⣿⣿⣿⡿⠷⣮⣍⡉⠑⢀⠈⢿⣿⣿⣿⣿⣷⡀⢀⣴⣿⣿⣿⣿⣿⣿⠿⠿⠛⠋⠉⠉⠁⠀ ⠀⠈⠀⠀⠀⠻⣿⣦⡠⣶⣄⣈⣙⢷⠌⠉⠉⠁⠀⠈⠑⠀⠈⢛⢷⣦⡆⠘⢿⣷⣮⣿⣿⣿⣿⣿⣯⣿⣿⣿⣥⣤⣤⣤⣤⣀⠀⠀⠀⠀