My Melody Emojis & Text

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⠀ ⠀⠀⠀⠀⣾⣿⣿⣷⣄ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣴⣶⣶⣶⣄ ⠀⠀⠀⣀⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⠀⠀⢇⠠⣏⡖⠒⣿⣿⣿⣿⣿⣿⣿⣧⡀ ⠀⠀⢀⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⢸⣿⣿⡿⢋⠁⠀⠀⠀⠀⠉⡙⢿⣿⣿⡇ ⠀⠀⠘⣿⣿⠀⣿⠇⠀⢀⠀⠀⠘⣿⠀⣿⡿⠁ ⠀⠀⠀⠈⠙⠷⠤⣀⣀⣐⣂⣀⣠⠤⠾⠋⠁ ⠀⠀
⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠤⠤⠤⢄⡀⠀⠀⠀⠀⠀ ⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀ ⠀⠀⠀⠀⠱⣄⠀⠀⠀⠀⢀⣠⠤⢄⡀⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀ ⠀⠀⠀⠀⢠⠞⠉⠉⠑⢶⠉⠀⠀⠀⠹⡄⠀⠀⠓⠒⠒⠐⠒⠒⠒⠚⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀ ⠀⠀⠀⢠⡏⠀⠀⢀⡴⠚⠀⠒⢄⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠈⠳⣄⡀⡎⠀⠀⠀⠀⢈⡆⠓⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠳⢄⣀⣀⣠⠞⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠀ ⠀⠀⠀⠀⠻⡄⠀⠀⠀⢀⡿⢤⣀⡠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⣨⠏⠁ ⠀⠀⠀⠀⠀⡟⠓⠒⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠶⠤⢤⡔⠚⠁⠀⠀ ⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⣀⠤⠔⠒⠋⠉⠉⠉⠉⠉⠉⠐⠒⠠⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣷⠀⠀⠀⠀ ⠀⠀⠀⢰⠇⠀⠀⠀⠀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⠀⠀⠀⠀⢰⡇⠀⠀⠀ ⠀⠀⠀⠘⡆⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⢸⠃⠀⠀⠀ ⠀⠀⠀⠀⢹⡀⠸⡇⢀⣤⣾⠟⠛⠶⠦⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣄⡀⠀⡇⠀⠀⢸⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠳⡀⢱⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⠀⠀⠀⠀⠉⠉⠀⠀⠋⠿⠗⡇⠀⢀⠞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢇⡴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢦⣀⠀⠀⣀⡤⠤⠤⠤⣄⠀⡠⠔⠒⠢⢄⡀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠋⢹⠖⠁⠀⠀⠀⠀⠈⠹⡀⠀⠀⠀⠀⠘⢦⠶⢶⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠈⢇⠀⢱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠒⣻⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠸⣷⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠛⡄⠀⠀⠀⠀⠀⢀⠜⠉⢆⠀⠀⠀⠀⠀⠀⢰⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠘⠦⣀⣀⣀⠤⠊⠀⠀⠈⠢⢀⡀⠀⢀⡠⠋⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
♡♡/ ̄ \   |  |  |  | / ̄ \ ( ̄v ̄)|/ \    \   > ○ <  ヽ_ノ (_人_)   \ |     / ̄ ̄ ̄\    |   \ (    ● o ●   ) ノ     >----------<       \_ノヽ_/
⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⠟⠛⠛⠷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠛⢷⣄⢀⣠⣤⡶⠾⠟⠛⠛⠛⠛⠛⠛⠻⢷⡄ ⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿ ⠀⠀⠀⢰⣿⠀⠀⢰⣆⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏ ⠀⢀⣤⣼⣿⠶⣦⡄⠛⢷⣤⣤⣀⣀⣴⡿⢶⣦⣤⣤⣤⣤⣶⣶⡶⠾⠟⠛⠁⠀ ⢰⣟⠁⠉⣁⠀⢼⣇⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠙⠻⢶⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⡶⠈⠛⣀⠀⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣦⠀⠀⠀⠀⠀⠀ ⠀⠘⢿⣶⡾⠛⠛⠋⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣀⡀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀ ⠀⠀⣿⠃⠀⠀⠀⠀⣀⣤⡶⠟⠛⠋⠉⠉⠉⠉⠉⠛⠿⣦⡀⢸⡇⠀⠀⠀⠀⠀ ⠀⠸⣿⠀⠀⠀⣠⡾⠛⡁⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⠀⢹⣧⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⢻⣆⠀⢰⡟⠁⢸⣿⠀⠀⠀⠀⣴⡄⠀⠀⠉⠁⠀⣸⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣦⣿⣇⠀⠈⠉⠀⠀⠀⢰⣶⡾⠇⠀⢀⣤⡾⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⢿⣷⣤⣄⣀⣀⣀⣀⣠⣤⣴⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
AI Story Generator
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣾⣽⢿⣭⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⣲⣾⣽⣳⣖⢢⣀⣀⣀⣀⣄⡤⢶⣷⣏⠁⠀⢿⣺⢼⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡟⠁⣖⣳⡄⠉⢹⡿⣮⣿⠿⠿⣿⠉⠽⠾⠃⠀⠀⠁⢸⡯⣝⢻⠷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣿⣧⠀⠛⠛⠀⠀⠻⣧⣿⡇⠀⠀⢻⣧⣤⣼⡄⠀⣿⡇⢸⣧⣛⡜⡻⣤⢻⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⡿⢫⢇⣿⡆⠀⣶⡆⠀⠿⠛⠙⢧⡘⢻⣼⠃⠀⡠⣄⠀⠀⠀⠀⢿⡶⣍⢳⡬⢇⢯⡹⢿⢶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣿⢛⡜⢧⢫⢼⣧⠄⠀⠀⠀⠀⠀⡴⣾⢿⣛⢿⡳⣄⣓⠟⠁⠀⠪⠇⢀⡿⣜⢧⡚⡭⣖⡹⢎⢧⢫⠿⣦⣄⠀⠀⠀⠀⠀⠀ ⣿⣇⢏⡞⡭⢎⣻⡟⠁⠀⠸⠗⢀⣨⡟⣷⠾⣩⢞⡹⣿⣭⣿⡳⣶⡶⢚⣯⡴⣏⠶⣭⡳⣌⡳⢭⢎⢧⡛⣜⢻⣷⣄⠀⠀⠀⠀ ⠻⣾⣮⣜⣱⣋⣾⡻⣦⣤⠶⣾⣫⣿⣿⠟⠛⠛⠋⠙⠙⠛⠓⠻⢷⣯⣏⢧⡹⣌⣳⢹⣷⣣⡝⣎⢞⡲⡹⢬⠳⣜⢻⣦⡀⠀⠀ ⠀⠀⠉⠉⠋⠉⠉⠉⠁⢹⡟⣧⡟⢋⣴⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣷⡎⣖⢣⢞⣿⡼⡜⢮⡱⣝⢣⣛⢬⢳⡹⣷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣯⡟⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣮⡝⢮⡜⣿⣯⣇⢳⢎⡳⢬⢧⢣⢏⡽⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣇⠀⠀⠉⠀⠀⠀⢠⠖⠦⡀⠀⠀⠀⠀⣴⣿⣷⠀⠙⣿⢦⣙⢦⣛⣿⣞⣬⠳⣍⣎⢳⡚⡜⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠈⠱⠶⠁⠀⠀⠀⠀⣿⣿⣿⠀⠀⢸⡷⣎⢶⢱⡎⣿⢿⣿⣰⡎⣇⢹⢱⣿⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣤⣀⢀⡴⠶⠾⣄⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⢸⣿⡘⣎⣧⣿⠋⠀⠉⠙⠻⠾⠿⠟⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⡟⠀⠀⠀⠘⣇⣤⣤⣤⣀⠀⠠⠀⠀⢀⣼⣧⣽⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡦⠀⣠⡾⢏⡳⣬⠳⣝⡻⣶⡶⣾⡟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠰⣾⣫⢕⡫⢵⣊⠗⣮⣱⣙⣶⣩⣟⣷⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⢧⣀⡉⠛⢛⣿⠟⠛⠉⠉⠉⠉⠉⣹⠶⠶⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣏⠉⠉⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣦⠀⠀⠀⠀⠀⠀⠀⠙⠓⠒⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣄⣀⣀⣀⣀⣀⣀⣀⣠⡷⠶⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣴⣶⣶⣶⣄⠀⠀ ⠀⠀⠀⣀⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⢇⠠⣏⡖⠒⣿⣿⣿⣿⣿⣿⣿⣧⡀ ⠀⠀⢀⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⢸⣿⣿⡿⢋⠁⠀⠀⠀⠀⠉⡙⢿⣿⣿ ⠀⠀⠘⣿⣿⠀⣿⡇⠀⠀⠀⠀⢸⣿⠀⣿⡿ ⠀⠀⠀⠈⠙⠷⠤⣀⣈⣓⣃⣀⣠⠤⠾⠋⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢆⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢆⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⢀⠤⠄⠠⠄⡀⠀⠀ ⠀⠀⠣⡀⠀⠀⢀⣀⡀⠀⢡⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠈⢂⠀ ⠀⠀⡰⠉⠉⣱⠁⡀⠈⡆⠉⠉⠁⠀⠀⠁⠀⠸⠀⠀⠀⠀⠀⠀⠇ ⠀⠀⠳⣀⡌⠀⠀⢰⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠰⡁⠈⠐⣆⣁⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⢀⠆ ⠀⠀⢠⠋⠀⠉⠀⠀⢀⡀⠤⠤⠤⠄⢀⡀⠀⠀⠀⠉⠓⠒⡆⠁⠀ ⠀⠀⡆⠀⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢀⠀⠀⠀⢹⠀⠀ ⠀⠀⠇⠀⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⢸⠀⠀ ⠀⠀⠘⡄⢇⠴⠛⠉⠒⠀⠀⠀⡄⠀⠀⠠⠶⠒⢦⣀⠀⢀⠇⠀⠀ ⠀⠀⠀⠈⠺⣆⠀⠀⠀⠀⠀⠐⠐⠀⠀⠀⠀⠀⠀⢠⡠⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⠵⢢⠔⠈⠉⠑⢔⠉⠀⠑⢄⢤⠒⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢇⣠⠆⠀⠀⠀⠀⡘⠀⠀⠀⠈⣄⣵⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡘⠄⠀⠀⠀⡐⠱⡀⠀⠀⠀⣾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠈⠀⢒⠈⠀⠀⠈⠐⠒⠊⠸⠀⠀⠀⠀⠀⠀⠀
⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬛🟥🟥🟥🟥🟥🟥⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜ ⬛🟥⬜🟥🟥🟥🟥🟥🟥🟥🟥⬜🟥⬛⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬜🟥🟥⬛⬜⬜⬜⬜ ⬛🟥⬜🟥🟥🟥🟥🟥🟥🟥🟥⬜🟥🟥⬛⬜⬜⬛🟥🟥🟥🟥🟥🟥⬜🟥🟥⬛⬜⬜⬜⬜ ⬜⬛🟥🟥🟥🟥🟥⬜🟥🟥🟥🟥🟥🟥🟥⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬛⬛🟥🟥🟥⬜🟥🟥🟥🟥🟥🟥🟥🟥⬛🟥⬜🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛🟥🟥⬜🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥⬛🟥🟥🟥🟥🟥🟥🟥⬛🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛⬛🟥🟥🟥🟥🟥🟥⬛🟥🟥🟥🟥🟥🟥⬛🟥🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🟥🟥🟥⬜🟥🟥⬛🟥🟥🟥🟥⬛🟥🟥🟥🟥🟥🟥⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬜🟥🟥🟥⬛⬛⬛⬛🟥🟥🟥🟥⬜🟥🟥⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜🟥🟥🟥🟥⬜🟥🟥🟥⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜ ⬜⬜⬜⬜⬜⬜⬛🟥🟥⬜🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥⬜🟥🟥🟥🟥⬛⬛⬛⬛⬛⬛⬛⬛⬛🟥🟥🟥🟥🟥🟥🟥🟥⬛ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥🟥⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🟥🟥⬜🟥🟥⬛ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥⬜🟥🟥⬛ ⬜⬜⬜⬜⬜⬛🟥🟥🟥⬛⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬛🟥🟥🟥⬛ ⬜⬜⬜⬜⬜⬛🟥🟥⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬛🟥🟥⬛ ⬜⬜⬜⬜⬜⬛⬜🟥⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬛🟥⬜⬛ ⬜⬜⬜⬜⬜⬛⬜🟥⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬛🟥⬜⬛ ⬜⬜⬜⬜⬜⬜⬛🟥⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜🟨⬜⬜⬜⬜⬛⬛⬛⬜⬜⬛🟥⬛⬜ ⬜⬜⬜⬜⬜⬜⬛🟥⬛⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜⬜⬛🟥⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟥⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛🟥⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟩🟩🟩⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜🟩🟩🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟩🟩⬜⬜⬜🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜⬜🟩🟩🟩🟩🟩🟩🟩⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟩🟩⬜⬜⬜⬜⬜⬜⬜🟩🟩⬜⬜⬜⬜⬜⬜⬜⬜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⣟⡯⣟⣻⠶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢿⡹⠞⡩⠰⡑⡌⣡⢉⠳⢾⡽⣢⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠿⡽⢊⠴⢡⡑⠣⠜⡰⢄⡃⢎⠢⡝⣷⣳⡄⠀⠀⠀⢀⣤⢶⡻⡝⢯⠛⠮⠽⢽⣹⣞⣦⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢯⡟⡓⢪⡐⠣⢌⡑⠣⠜⡰⠘⣌⠱⣠⠙⣷⣻⠀⣡⣾⣻⠼⢋⠱⡘⢢⠙⣌⠱⢂⠆⡍⠺⣏⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⡟⣡⠙⡄⢎⡑⡊⠬⣑⠩⡔⢩⢄⠳⣀⢋⢳⣟⣾⢻⡜⠱⣈⠣⢅⡃⢣⠩⢄⢣⡉⠲⢌⡱⢘⢾⣽⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣽⠣⡰⢉⡔⢊⡔⡉⢦⠡⡒⠬⣁⠎⢢⠅⠎⣜⡿⣼⢋⠔⡃⠦⣉⠦⡘⣡⠚⡐⢆⡡⢋⡔⠢⢍⡸⣞⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣳⠇⡑⢆⠣⡘⢆⠢⢍⠢⠥⢡⠓⠤⡙⣂⠎⡑⣾⣽⡃⣌⠚⡌⡱⢐⢢⠱⢄⢣⢉⠦⡘⡡⢌⠓⠬⡐⢻⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣳⠏⡜⢨⠑⡌⠦⣉⠦⡑⣊⠥⢊⡅⢓⠤⢊⡱⣟⡾⡐⢢⠱⡘⡰⢉⠆⡱⢊⠔⡊⠴⢡⡑⢊⡱⢊⠱⢸⣻⡀⠀⠀⣀⣄⡀⠀⢀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢻⡘⣬⠂⠓⠸⡔⣂⠖⡡⠒⢬⢡⠘⡬⠌⡥⢸⣯⠷⢨⡑⢢⠱⢡⣞⡾⡕⡡⢎⢡⠓⢢⠜⡡⢆⠩⡌⢳⣽⠁⠀⠈⣟⣲⡵⣼⡳⣽⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⠿⢼⠁⠀⠀⠀⢸⡔⡈⠖⣉⠆⢎⠒⡰⢩⠰⣉⠹⠌⡥⢌⡑⣊⠅⢎⢿⣝⢶⡈⢆⠹⡐⣊⠔⣊⠱⣸⡿⡞⠀⠀⠀⠘⢵⣫⡗⠗⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡠⠀⠄⠀⠀⠀⢛⠄⣚⢤⣹⣤⢧⡷⣴⣭⢶⣱⢦⣵⣐⣪⡌⢆⠻⣭⣟⢦⢧⡱⣤⢯⣴⣿⠯⠋⠀⠀⠀⠀⠀⠀⣉⣁⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠁⠦⠊⠀⠀⢀⣸⢿⣹⠯⠓⠛⠚⠉⠉⠚⠋⠚⠛⠊⠛⠳⢟⣯⡶⣦⣉⢛⡚⢳⢙⡚⢻⣯⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡟⣱⠀⠀⠀⠀⣴⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣻⣶⡜⢄⠣⢎⠣⢯⣻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣟⡣⠍⠦⢄⣤⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣿⣮⢑⢊⡱⢼⡷⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⣾⣻⢄⠹⣜⣿⡽⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⣷⠊⡔⣊⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣀⣸⠟⣧⠀⠀⠀⠀⣷⣻⠌⡒⣼⢷⠃⠀⠀⠀⢠⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣷⡆⠀⠀⠀⢸⢾⣁⠎⣡⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣳⢎⡽⣟⡼⠀⠀⠀⠀⢳⢯⣗⠡⣟⣿⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠀⡤⠀⢢⠀⠀⠀⠀⠰⣿⣿⣿⣿⠀⠀⠀⢸⣻⡸⡘⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠑⠚⠓⠁⠀⠀⠀⠀⠀⢻⣮⣧⡹⣞⣧⠀⠀⠀⠈⠛⠛⠋⠀⠀⠀⠀⠀⠙⠐⠈⠀⠀⠀⠀⠀⠙⠻⠿⠃⠀⠀⠀⢿⡝⣑⣷⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⣝⠿⣼⢻⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⡾⣝⡾⠭⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠓⠯⢷⣫⡟⣞⠷⣶⢶⣤⣤⣤⣤⢤⣤⢤⣤⡤⣤⢤⡦⣖⣶⣻⣽⣳⠟⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⣤⠶⠶⠶⠶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⠋⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡶⣴⣤⣄⡀⠀⠀⠀⠀ ⠈⠻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡄⠀⠀⠀⠀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀ ⠀⠀⠈⠻⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀ ⠀⠀⠀⠀⠀⠉⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⠶⠿⣿⣦⠗⠛⠒⣦⣀⠀⠀⠀⠀⠀⠐⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⡇⠀⢠⡇⠀ ⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠘⠇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⣇⠄⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀⠀⠐⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠹⣤⡀⢰⠞⠉⢳⡄⠠⣾⠁⠀⠀⠀⠀⠀⠀⠀⠛⢶⣤⣀⣀⣀⣤⡴⠟⠃⠀⠀⠀⠀⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠠⡏⠀⠈⠓⡶⠊⠀⠀⠘⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠰⣸⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣧⣀⣀⣠⡾⢦⣤⣤⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⠀⠈⠉⠁⠀⠀⠀⣀⣀⡀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀ ⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⡴⠒⠒⣞⣁⡠⠽⠭⢄⣈⣳⣊⡉⠲⣄⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀ ⠀⠀⠀⠀⢸⡇⠀⡴⠋⢙⡵⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠳⢤⣀⣳⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠐⢺⡇ ⠀⠀⠀⠀⢸⡇⡮⢇⡾⠁⢠⣶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⢹⣄⡀⠀⠀⠀⠀⠀⠀⠈⡇ ⠀⠀⠀⠀⠸⣿⡁⣼⠀⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠈⠳⣄⢹⠦⠀⠀⠀⠀⠀⠀⣟ ⠀⠀⠀⠀⠀⠻⡟⢿⠀⠀⠈⠛⠉⠀⠀⠀⠀⣤⠤⣄⠀⠀⠀⠀⠀⣸⣿⣿⣧⠀⠀⠙⣎⠳⡄⠀⠀⠀⢸⢰⡏ ⠀⠀⠀⠀⠀⠀⠱⣜⣆⡤⠦⠤⣄⠀⠀⠀⠀⠛⠒⠋⠀⠀⠀⠀⠀⢻⣿⣿⡏⠀⠀⠀⢸⣤⠇⠂⠀⢠⢄⡾⠁ ⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠐⣾⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢸⠃⡃⠁⠠⣠⡾⠁⠀ ⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⣼⣦⣤⣠⠦⢄⠙⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⡞⣡⣤⠾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠸⣿⠉⠀⣹⣀⣙⣿⠏⠁⡽⠶⠤⣤⣤⣤⣤⣤⣴⡾⠅⠚⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⠀⠈⠛⣿⠿⣌⡝⠝⡍⣘⣧⣀⣀⣀⣀⣤⣴⣶⣾⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣳⡶⢻⠷⣮⣤⣤⣽⣥⣬⣭⣿⣿⢿⡖⠋⠉⠉⢳⡝⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⣠⢺⣥⣧⣽⢂⡄⠀⠓⠀⠈⢻⡄⠀⠀⠀⠀⣿⣭⣧⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣋⠴⢺⠥⠚⠁⠀⠘⠦⣽⡒⢤⣄⣀⣼⢳⣤⡀⠀⠼⠃⣠⣷⡗⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠯⠜⠉⡏⠀⠀⠀⠀⠀⡄⣧⠉⠙⠲⣾⣯⣯⣏⣳⣶⣴⣾⣻⣉⣽⣵⡦⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠸⠄⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⣿⢄⠀⠀⠀⠀⠀⠀⠀⠉⢉⣽⡶⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠟⢦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢸⡀⠙⠒⠢⢴⣉⡦⠔⠚⠋⢸⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠦⠽⣉⣙⣟⠛⣛⠻⢿⠞⠿⡟⠿⣻⠛⣧⠀⠀⠀⠀⠁⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣉⣉⣻⣿⣃⠙⢍⣫⣁⠉⠉⠉⣉⣩⣿⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣤⣉⣉⣿⡀⠉⠛⠛⠧⠜⠛⠛⠛⠉⢡⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠾⠶⠶⠶⠶⠞⠳⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⣠⠖⠋⠉⠉⠉⠑⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠞⣁⠰⡄⢃⡒⠤⡀⠄⡀⠈⠳⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡏⣴⣭⢲⣉⠖⡌⢆⠱⡨⣐⠡⠄⢂⠙⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⡏⣻⣏⢶⡩⢞⡸⢌⡒⡡⢆⡑⢊⠔⡠⠂⠉⢢⡄⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⣽⣟⢦⡝⢮⡱⢎⡲⡑⢦⠘⡌⢢⢁⡓⠌⡀⠹⣤⠀⠀⢀⡠⠴⠋⠁⠀⠀⠀⠀⠀⠉⠑⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣷⡞⣯⡞⣼⢣⡝⣮⢱⠙⣦⠙⣤⠃⡆⡜⢢⢡⡄⠘⣶⠒⠋⠀⠀⡄⢠⠀⣤⠐⢠⠀⡄⠀⠀⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠻⡟⢽⡾⣱⢏⡷⢎⡧⣛⠴⡓⣌⠲⣡⠒⡌⢢⠐⠲⢋⠤⠄⢂⠡⡐⠌⡰⢀⠆⡡⢘⠠⢁⠢⠄⠢⠘⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⡌⢷⣯⣻⡜⣯⢶⡙⣮⠱⣎⡱⢢⠱⡌⢢⠍⡓⣌⠒⡌⢂⠱⣈⢒⠡⢎⠢⡑⢌⠢⣁⠎⡌⢱⡐⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⡜⡾⣵⣻⣜⡮⣝⡖⣏⠶⣑⢣⠓⡬⢡⠎⡵⢨⡑⢌⠢⡑⠤⢃⢎⡰⢡⠚⡬⡑⣆⠞⣬⢣⡜⠤⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⡜⢳⣯⠾⣵⣫⢞⡼⢣⡝⢪⠱⡡⢏⡞⣱⠣⡜⣌⠒⡡⢃⠎⢤⡑⢎⣱⢣⡽⣬⢻⣜⢧⡺⣱⢂⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⡎⢷⣻⢧⡟⣮⣝⢣⠞⣡⢣⡑⢯⣞⡵⣋⠶⣌⠳⣐⢣⢚⡤⣛⣼⣣⣟⣾⣳⣟⣾⢣⣗⢣⢏⠄⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡎⢯⣷⣛⠶⣭⢎⡝⣢⠣⢜⣻⡼⣯⣽⢻⡜⣧⢧⣏⡾⣵⣻⣞⣷⣻⣞⣷⣻⢎⡷⢎⡳⢎⣒⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣦⣗⢯⣛⠶⣩⠞⠤⢋⡌⠳⣻⢷⣯⢿⣽⣳⣟⡾⣽⠷⡛⢌⠡⡓⠯⡞⣧⢛⡼⢩⠞⡸⢜⡂⢈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡎⠿⣌⠳⣡⢊⡑⢢⠈⡅⢢⠉⢞⠻⡞⠷⢋⡛⢡⠊⡔⡈⢆⡉⢒⠩⣐⢋⡔⠫⡜⢱⢊⡜⠤⡀⠈⠑⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡟⢡⡓⢬⠱⢄⡒⡌⠦⡑⣌⠢⡉⢆⠓⡌⢢⠣⢌⡡⢎⠰⡁⠖⣨⠡⢒⠡⢢⠌⡱⢈⠖⡠⠘⠤⠑⡠⢁⠀⠑⢄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡎⢀⠷⡘⡥⢋⠦⡱⢌⡱⢡⠢⡑⢌⠢⢱⢈⠆⡱⢂⠴⡈⢆⡱⢡⠂⡥⢉⡒⢡⢊⠔⢣⠘⠤⡉⢆⠱⡐⢢⠐⡐⠈⠳⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⡜⢠⣋⢮⠱⢎⡱⢎⡱⢊⡔⡃⢧⢉⠦⡙⠄⡎⡘⡄⢣⠢⡑⣂⠦⡑⡘⡄⠣⢌⡡⢊⠜⡠⢋⠔⡡⢊⠔⡡⢂⠭⡰⢡⠀⠹⡀⠀ ⠀⠀⠀⠀⠀⣺⢃⡞⡜⢮⡙⣎⠵⢪⡔⢣⠜⡱⢊⢆⠲⢡⠩⡐⠥⡘⡄⣃⠒⡡⢂⡑⢆⡡⢍⠢⠔⠣⡌⢱⡈⢆⠱⣈⠦⠱⡌⢲⡑⠦⣑⠀⢳⠀ ⠀⠀⠀⠀⢀⡇⢴⡯⣝⠶⡹⣌⠞⣥⠚⡥⢎⡱⣉⠎⡜⣡⢒⡉⢦⢑⡰⣈⡑⢆⠱⡈⠆⡔⢊⡌⢣⠓⡌⢥⡘⣌⢒⡡⢎⡱⢌⡣⢜⡱⢌⠖⢨⣇ ⠀⠀⠀⠀⢸⡇⣾⣹⡾⣹⢱⡎⣿⣰⠿⡸⣆⢷⢱⠾⣰⢁⡎⡸⢆⡎⣰⢀⠷⡈⢶⢁⠹⡈⢇⡸⢁⠾⡸⢆⢱⡈⣆⠱⡎⣰⠏⣰⠏⡸⣎⢹⠀⣿ ⠀⠀⠀⠀⢻⠁⡽⣧⣟⠷⣏⣿⣲⡭⠷⠛⠜⠎⠓⠛⠖⠫⠞⠱⠯⠜⣖⣫⢶⣙⢦⣋⢶⡙⣎⠴⣋⢖⡱⢊⢦⠱⣌⠳⡜⣢⢛⡴⢫⡕⣎⠧⡁⣿ ⠀⠀⠀⠀⢸⠀⡿⣵⣯⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠻⢮⣳⣎⡳⣍⠞⡼⣩⢎⡳⣌⢳⡱⢣⢏⣜⢣⡞⣬⢳⡁⣿ ⠀⠀⠀⠀⢸⡇⣟⣷⠃⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠳⢮⣝⣖⣣⢞⡱⣎⢧⡝⣣⢞⡼⣓⢾⡱⢧⠤⣿ ⠀⠀⠀⠀⠈⢷⠺⡏⠀⠘⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡆⠀⠀⠀⠀⠉⠳⣏⡾⣱⢏⡾⢭⡳⣏⢾⡹⣮⣝⡳⣸⠃ ⠀⠀⠀⠀⠀⠘⢇⠱⠀⢺⣶⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣛⣁⣀⣠⠀⠀⠀⠀⠀⠈⢿⣧⣻⡼⣳⣻⢼⣳⢿⡵⡾⢡⠏⠀ ⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⣾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣟⡛⠛⠛⠀⠀⠀⠀⠀⠀⠀⢻⣧⣟⡷⣯⢿⡽⣯⡿⢣⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢾⡽⣯⠿⠽⣣⡼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠦⢤⡀⠰⠀⡄⡘⢛⠛⡛⠲⠖⠖⠒⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡄⢠⣄⢲⣽⣿⠿⢛⣯⡴⠛⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣄⡘⠲⢌⢒⡱⡸⢌⠣⢎⡱⠌⢦⠱⢌⠓⠦⠑⢎⣡⣳⣬⠷⠾⢛⠉⣿⣫⠭⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠘⠠⢎⡙⡛⢛⢲⡄⠀⠉⠀⠐⠢⢌⠒⣌⠢⡔⠢⢜⣡⠧⠖⠀⠈⠻⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠠⠘⣡⢉⡼⠁⠀⠀⠀⢈⠱⡨⢑⣠⣣⠼⠛⠉⠁⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠂⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠳⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠖⠒⠉⠁⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠉⠉⠁⠐⠀⠂⠂⢩⣙⣉⡑⠦⠤⠤⢄⣀⣀⣀⡤⢤⠴⢚⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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discord.gg/UUZkkhe5ws ⠀⠀⠀⠀⣾⣿⣿⣷⣄ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣴⣶⣶⣶⣄ ⠀⠀⠀⣀⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⠀⠀⢇⠠⣏⡖⠒⣿⣿⣿⣿⣿⣿⣿⣧⡀ ⠀⠀⢀⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⢸⣿⣿⡿⢋⠁⠀⠀⠀⠀⠉⡙⢿⣿⣿⡇ ⠀⠀⠘⣿⣿⠀⣿⠇⠀⢀⠀⠀⠘⣿⠀⣿⡿⠁ ⠀⠀⠀⠈⠙⠷⠤⣀⣀⣐⣂⣀⣠⠤⠾⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠉⠁⢀⣀⠀⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⠀⣠⢖⡫⡝⢭⢛⢦⠀⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⢀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠔⠀⢀⡴⣋⠳⡬⣑⠎⢧⡚⡼⡆⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠂⠀⢀⣀⣀⠀⠀⠐⠢⢀⠀⡰⠃⠀⣴⢋⡖⣩⢣⠕⣎⡹⢆⢳⢹⠇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠂⠀⣴⠺⣍⠭⢭⣙⠳⢦⣄⠀⠉⠀⣠⠻⡌⣇⠮⣑⢎⡹⢤⢓⢎⣣⡟⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡖⠀⢰⢫⡱⢊⢮⡑⣎⡹⢲⡘⠷⣄⣴⠫⡕⠳⣌⠞⣡⢎⠵⣊⢭⣲⠏⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⢸⢇⣣⢻⣤⠫⣔⠣⣇⠭⡓⡽⣎⠧⣙⠳⣌⠞⣡⢎⡣⣍⡶⠃⠀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⠀⠸⣎⠖⣩⢛⣷⣌⠳⣌⠳⣉⢶⡟⣌⢇⡳⢜⢪⠕⣮⠕⠋⠀⣠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠜⠀⢀⣧⣛⡴⠿⢴⡹⣛⠾⢳⢻⡚⠵⣊⡜⢲⡩⢎⠞⣩⠳⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⢰⠁⠈⢉⣀⡀⢀⡷⣡⢋⢧⠲⣉⠧⡓⣜⢣⡱⢋⡼⢡⡛⢦⡙⢷⡀⠈⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠀⠈⡲⠀⠧⡤⠇⠈⢳⢥⢋⢦⠛⣌⠧⡹⢤⢣⠣⢏⡴⢣⡙⢦⡙⢦⠻⡄⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⡀⠈⣇⣀⣀⡶⢦⢴⠺⡜⢪⣌⣏⡦⠟⠓⠋⠉⠉⠉⠙⠓⠻⢦⣝⢪⡕⣳⠀⠀⠁⠐⠠⠤⠐⠈⠀⠀⢂⠀⠀ ⢀⡇⠀⣯⡙⢦⠓⣎⠎⢧⣹⠗⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣦⠈⠳⣜⣹⠀⢸⠓⠢⢤⣠⠤⠒⡹⠀⢰⠀⠀ ⠈⡇⠀⣧⡙⢦⢛⡤⢛⡞⠁⣴⣄⠀⠀⠀⠀⢀⣀⡀⠀⠀⠈⠻⠟⠀⠀⣟⡼⠀⢘⠀⠀⠀⠀⠀⠀⡇⠀⢊⠀⠀ ⠀⢧⠀⠹⣜⠣⠞⡬⡟⠀⠘⣿⡟⠀⠀⠀⠀⠳⠤⠃⡀⠀⠀⠀⠀⠀⣠⡟⢁⡴⠋⠀⠀⠀⠀⠀⠀⠘⢄⠀⠱⠀ ⠀⠈⢄⠀⠹⣍⡳⢱⣇⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠒⠀⣀⣀⢀⡠⠜⠁⠀⠈⠓⠂⣤⡀⠀⢀⡤⠄⠠⠚⠃⠀⡀ ⠀⠀⠀⠢⡀⠈⠓⠧⣞⣧⣄⣀⡀⠀⢀⣀⣀⣠⣤⡄⡶⠓⠈⠳⡀⠀⣴⠟⠁⢀⠔⠁⢣⣠⠎⠀⡠⠄⠀⠀⠂⠁ ⠀⠀⠀⠀⢰⠀⢀⡄⠒⠊⠉⢻⡝⡿⠛⠛⢯⢲⣡⠛⡵⣦⠀⡀⡇⠀⠉⢀⡴⠁⢀⡀⠈⠁⠀⠔⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢄⠀⠹⣅⣄⣀⠎⠙⡁⡄⡀⠘⣷⠒⠛⠉⢉⡩⠴⣁⠀⡠⠊⠀⡠⠂⠈⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠇⠀⡎⠁⠈⠉⡄⠀⠑⠛⠚⠓⠉⠑⠦⣤⡀⠀⠀⢀⣹⠁⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⡆⠀⢃⡀⠀⡠⠃⠀⠀⠀⠀⠀⠀⠀⢠⠃⠑⠤⠤⠞⠁⢀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢀⡀⠀⡹⣄⠀⠀⠀⠀⠀⠀⠠⢺⠁⢠⡤⠄⠀⠤⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⢠⡁⢸⠀⠀⠀⠀⠀⠀⠀⡸⢄⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠄⠀⠑⠺⢄⣀⣀⣀⣀⣀⡀⣀⣠⠃⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠄⠀⣀⡀⠀⠀⠉⠉⠁⢀⡀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠋⣠⣤⣶⡶⠶⠶⣶⣤⣄⡉⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⢁⣴⡿⠋⠁⠀⠀⠀⠀⠀⠀⠙⠿⣶⡄⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⣠⡿⠋⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠈⢿⣆⠘⠦⠔⠊⣉⣠⣤⡴⠶⠦⣤⣤⣄⣉⠓⠦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠏⢰⡿⠁⠀⠀⢀⡼⢃⠀⠀⠿⣇⠀⠀⠀⠀⠀⢻⣇⣠⣶⠟⠋⠉⠀⠀⠀⠀⠀⠀⠉⠙⠷⣦⡈⠳⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡼⠀⣿⠁⠀⠀⠀⠸⣇⡻⠦⢄⣠⡟⠀⠀⠀⢀⡔⣼⡿⠋⠀⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⣆⠘⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⢸⣯⠀⠀⠀⠀⠀⠙⠛⠓⠛⠋⠁⠀⠀⣠⢫⣾⠋⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠘⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⠀⠀⣀⣤⣤⡀⠀⠀⢠⢧⡿⠽⠁⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⢱⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⢰⠀⠀⠀⠀⣠⠞⢉⣸⠎⢻⡆⠀⣎⣿⠃⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠈⠀⠀⠀ ⠀⢀⡠⠤⠀⠀⠀⠀⣿⢘⣬⣭⣷⡞⠡⠶⠋⠁⠀⢸⣇⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⣰⠟⠉⠛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀ ⡰⢉⣤⣶⡖⠒⠒⣶⣾⣾⡈⡆⡻⣋⢻⣆⣴⣶⠀⠈⢻⡄⠸⣿⡀⠀⠀⠀⠀⠀⢼⡅⣞⠀⠀⠈⡗⠀⠀⣰⡆⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀ ⡇⢸⡇⠷⠖⠛⠉⠩⣟⠡⠇⣾⣷⣁⢾⡏⠉⠀⠀⠀⠈⣿⡄⠻⣧⡀⠀⠀⠀⠀⠠⠿⣷⣗⡶⠾⢃⣴⡾⠋⠀⠀⠀⠀⠀⢈⡿⠀⡄⠀⠀ ⢳⡈⢿⣄⠀⠀⣠⢴⣟⢿⣷⡿⣵⣿⣼⣧⣤⣤⣤⣠⣤⣾⠇⠀⠙⢿⣦⣄⠀⠀⠀⠀⠀⣀⣤⡾⢟⠋⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠱⡀⠀ ⠀⠱⡀⢻⣆⠀⠉⠉⠀⠈⣻⣟⡟⠀⠀⠀⢀⣀⣉⡁⣠⡶⠿⠶⣦⣤⡼⠟⠛⠿⣿⣿⠿⠿⣯⣴⣣⣤⣄⡀⠀⠀⠀⠀⠀⠀⠉⣿⡄⢳⠀ ⠀⠀⢣⠈⣿⡀⠀⠀⣠⡾⠋⠈⠀⠀⢠⣴⠟⠋⠙⠻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠈⠉⠉⠈⠙⢿⣦⠀⠀⠀⠀⠀⢸⣸⣧⠀⡇ ⠀⠀⠈⢆⠘⢿⣴⣾⠋⡄⠀⠀⠀⢰⣿⡏⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⢀⡀⠀⢀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠙⠷⠶⣶⡀⠀⢨⠀⣿⠀⡇ ⠀⠀⠀⠀⠑⡆⠸⣿⢸⠀⠀⢀⣤⣾⠛⠀⠀⠀⠀⣀⣄⣴⡟⠋⠻⠶⠾⠟⠙⠛⠛⠙⠛⢷⣤⣤⣄⡀⠀⠀⠀⠀⠀⠈⣿⣸⢰⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⢱⠀⣿⡌⠣⠔⣿⠃⠀⠀⠀⢠⣤⣾⣿⣭⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⣷⣬⡛⠛⣏⡄⠀⠀⠀⠻⣧⠀⢸⡿⠀⡀ ⠀⠀⠀⢀⡀⠈⡆⠹⣷⡆⠀⣿⡀⠀⠀⣠⡿⢃⡾⠁⢀⣨⣧⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⣼⣅⣀⠀⢳⡀⢻⣾⣆⠀⠀⠀⣿⢠⣿⠃⡸⠁ ⠀⢀⣀⢸⡇⠀⠘⢆⠙⢿⣤⡏⠀⠀⠐⣾⣄⢸⣿⣛⣿⣡⡟⠀⠀⠀⠀⢿⣿⠆⠀⠀⠀⢻⣄⣽⣉⣿⠃⣠⡾⠆⠀⠀⠘⣿⡿⠃⡰⠁⠀ ⠀⠈⠉⢱⡌⠛⠀⠈⠳⡀⠻⣷⣀⠀⠀⢼⣿⠃⠈⠙⠛⠉⠀⠀⠀⠀⣀⣀⣦⠀⠀⠀⠀⠀⠉⠙⠋⠁⠀⣿⡎⠀⠀⣀⣼⡏⢀⠞⠀⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠘⣦⠉⢛⣦⣀⡀⢛⣷⣦⣀⠀⠀⢠⠖⢶⣾⠋⢹⣟⢦⣴⣤⣄⠀⠀⠀⣀⣴⢾⣏⣀⣀⣼⡟⠉⢠⠋⠀⠀⠀⠀ ⠀⠀⠀⠈⠁⠀⡠⠒⢉⡉⢀⣴⡟⠈⠉⠙⠛⠉⠈⠻⣿⣻⣿⣦⣤⣿⠢⣾⡿⡇⠀⠀⠙⠿⣟⣿⠟⠃⠈⠛⠋⠉⠁⢻⣦⡈⢉⡉⠒⢄⠀ ⠀⠀⠀⠀⠀⢰⠁⣾⠋⠙⠛⣿⠀⠀⠀⠀⠀⠀⠀⢀⣾⣫⠿⣯⣿⡿⠻⠓⠶⠃⠀⠀⠀⢀⡿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡛⠉⠙⣧⠈⡆ ⠀⠀⠀⠀⠀⠸⡄⠻⢦⡄⠠⣻⡆⠀⠀⠀⠀⠀⣾⠋⠉⣡⡗⠙⠉⠀⢀⡀⠀⠀⠀⠀⠀⣯⠛⢿⣦⡀⠀⠀⠀⠀⠀⢰⡟⠇⢠⣴⠟⢀⠆ ⠀⠀⠀⠀⠀⠀⠈⢦⡘⠛⢧⣪⣿⣄⠀⠀⠀⠀⠙⠻⣿⡏⠁⣤⢾⣟⠋⠛⠛⠻⢶⣄⡀⠹⣧⣤⣪⡇⠀⠀⠀⠀⣠⣿⣅⡼⠛⢃⡴⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⢄⠘⠻⠿⣶⣤⣤⣤⡾⠟⢷⣿⣇⡻⠟⠀⣴⡄⠘⣿⡏⣧⣀⡶⠿⢷⣤⣤⣤⣴⠾⠟⠃⣀⠤⠞⠁⠀⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠢⠤⠀⠀⠀⠀⠐⢤⣈⡉⠛⠶⠶⢯⣥⡴⠶⠚⠿⠛⢁⠄⠤⡀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠒⠀⠀⠀⠀⠀⠀⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣶⣿⡶⢿⡿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣯⣿⣯⣯⣷⣿⣳⣆⣤⣤⣤⣤⣤⣶⣾⣿⡯⡄⠄⢸⣿⡿⢺⣧⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠋⢴⣿⣷⢀⢈⢹⣿⣶⣿⡿⠿⣿⣿⠁⠿⡿⠟⡀⠀⣀⢂⢿⡏⠉⠙⠻⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣤⣾⢿⡎⠛⠓⠋⣉⠁⠹⣿⣗⣿⢅⣠⡌⢻⣶⠶⠶⠧⢡⣾⠿⠇⢹⣇⠀⠀⠀⠀⠈⠻⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣾⠟⠉⠀⠈⣿⡀⠰⣿⡟⣃⠛⢯⠉⢿⣧⡛⣫⣿⠃⢀⣤⣤⡄⠐⠰⢠⡌⣿⡆⠀⠀⠀⠀⠀⠀⠉⠛⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣾⡟⠁⠀⠀⠀⠀⣿⣧⣀⠀⠘⠚⠁⠀⣴⣶⡿⣟⠛⣟⢷⣬⣿⢯⠇⠀⠸⣿⠇⣸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⢸⡟⠀⠀⠀⠀⠀⠀⣿⠟⠯⡀⣿⡷⠮⣎⣿⢿⡿⠃⠀⠈⠛⢿⣟⣻⡶⢶⣶⠶⢾⣿⡵⠇⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀ ⠸⣿⣄⠀⠀⠀⠀⠀⡿⣦⣌⣡⣶⣵⣿⣿⣷⣿⣴⠶⠶⠶⠶⠶⠶⠾⣿⣿⣙⠛⠋⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀ ⠀⠈⠛⠿⠿⠿⠿⠿⠟⠓⠛⣿⣷⠋⣫⡿⢛⣥⣤⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢶⣄⡀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⣾⠏⢰⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣦⡀⠀⠀⠈⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡟⠀⠘⠿⠿⠋⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣠⣦⣄⠘⢿⣄⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠈⠢⠀⠀⠀⢸⣋⢙⡆⠀⠀⠀⠀⢰⣿⣿⣿⡆⠈⢻⡄⠀⠀⠀⠈⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀⣽⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⡀⠀⠀⠀⢀⣀⣩⠉⠁⠀⠀⠀⠀⠈⢿⣿⠿⠀⠀⠘⣿⠀⠀⠀⠀⣰⡿⠙⠿⣶⣤⣀⣀⣀⣴⡿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⣤⡾⠛⠉⠙⢷⡄⠀⠀⠀⠀⠀⠀⠐⠢⡄⠀⠀⣿⠆⠀⣠⣾⠟⠁⠀⠀⠀⠉⠉⠋⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⢨⣿⡾⠿⠷⣶⣤⡀⠀⠀⢁⣠⣾⣯⣴⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠖⢀⣴⠟⠁⠀⠀⠀⠀⠉⠛⢿⠟⢿⣿⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢾⣟⡁⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣉⣿⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣉⠛⠻⠶⣶⡶⠟⠛⠋⠉⠉⠉⠉⣻⣯⡤⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⣼⠟⠁⠀⠀⠙⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⠘⠿⣦⣤⣤⡾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠟⠛⠃⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣠⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⠶⠶⠶⠶⠶⠶⠶⠶⠾⠟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣀⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠉⠁⠀⠀⠀⠈⢷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀ ⠀⠀⠀⠀⠀⣠⠎⠉⠀⠀⠀⠉⠑⠲⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠀⠀ ⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⣠⠴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⡧⠀⠀⢰⡀⠀⠀⠀⠀⠀⠀⠈⣧⣀⣀⣠⠴⣋⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡧⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⢀⣟⠀⠀⠈⠋⠀⠀⢱⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⠘⠀⠀⠀⠀⠀⠙⠲⠤⠤⠴⠛⡬⠂⠀⢼⣷⠐⠀⢎⠀⠀⠀⠀⠀ ⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⣀⣀⠤⢄⡀⠀⣸⣆⠀⠀⠀⠀ ⢀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠹⡄⠀⠀⠀ ⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠐⠒⠋⠉⠉⠉⠉⠉⠓⠢⣄⠀⠀⡇⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡄⠈⢆⢀⡇⠀⠀⠀ ⠸⡀⠀⠀⠀⢀⠞⠀⣶⣦⠀⠀⠀⠀⡠⠄⢄⠀⠀⠘⠛⠁⠀⣸⡞⠀⠀⠀⠀ ⠀⠳⡀⠀⠀⢸⠀⠀⠻⠟⠀⠀⠀⠀⠈⠉⠈⠀⠀⠀⠀⣠⡼⠋⠀⠀⠀⠀⠀ ⠀⠀⠙⠢⣄⣘⣄⠀⠀⠀⠀⠀⠀⠑⠒⠒⣁⡠⣪⣯⢀⢀⡼⣶⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠛⠒⢲⠖⠒⠚⢻⣏⡉⡡⡅⣻⠄⠻⠉⠀⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡶⠤⣄⡎⠁⠈⢳⠈⢾⡄⠀⢀⡼⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠴⠶⢤⡷⣄⣀⣀⡄⠠⠞⠄⢄⣉⣓⡁⡴⠚⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⠁⠈⠉⠉⠐⢄⠠⠊⠁⢈⡆⡟⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠣⢄⣀⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠇⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⠤⣄⣀⠀⠀⠀⠀⢀⣏⣀⡠⠫⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣛⠿⡛⡟⣿⣭⢝⣣⣫⣍⢾⣴⣿⣿⢻⠿⣷⡀⡱⢈⢦⡿⠀⠀⠀⣿⣿⣿⣿⣯⣿⠿⠽⠓⠛⠛⠓⠶⣿⣽⡇⢯⣿⣿⢿⠿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣥⣿⣿⣿⣿⣿⠠⠌⡟⠶⡴⢬⣀⣂⣄⣠⣠⣤⢶⡖⠷⣾⢿⢯⣛⣿⣿⣭⣓⠜⢢⢣⡘⣤⣿⣿⣟⠐⢌⣷⣻⣿⣲⡽⢻⠠⠩⠿⣮⣄⠢⢁⠆⡐⠀⢄⠂⡙⠡ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⢎⡵⠎⠱⠝⠶⣉⠡⠔⣿⣿⣿⣿⣻⣿⢧⢮⢼⠧⡑⢂⢻⡄⠀⠀⠀⠻⣷⠟⠁⠄⠐⣀⠈⠀⠀⠀⠀⡀⠘⣾⢎⣾⣿⣇⣏⢮⡱⢫⣽⠿⣿⣿⣿⣿⣿⡿⠇⠿⣿⢿⣾⣿⣿⣿⠠⢍⡐⡃⠔⡰⢉⠭⢩⠍⡉⠴⣿⣤⡶⣟⢮⣷⠡⢈⣿⣿⣿⡛⠛⣻⣶⣿⣟⡳⣞⡿⣻⢧⡿⢿⣾⢣⠌⠬⢌⡐⣘⢷⡪⣁⠢⠡⢃⠐⠴⣐⣡ ⣿⣿⣿⣿⣿⣏⠳⣩⣖⢯⡖⡁⣤⣶⡿⢿⣷⣤⠀⢀⠈⣻⣧⡀⠝⠐⠋⣽⣿⣶⣿⣿⣿⡓⠀⡀⠀⣡⣤⣀⣀⣼⣷⢀⣠⣴⣶⣶⣧⣀⢸⠧⡟⣡⠻⢿⠎⠀⢫⡝⢿⢿⢖⣻⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿⠐⡂⠔⡡⢀⠰⢉⠰⢡⣈⣁⣷⣿⡺⢵⡟⠉⢹⣿⣯⣿⣿⢿⣽⡻⣯⢻⡿⢶⠿⣿⡿⣵⢫⣧⣽⡏⢆⡊⢥⣦⣰⣀⢺⣿⠞⠳⠷⣮⣼⡟⢫⠉ ⣿⣿⣿⣓⠾⣜⢯⡵⣾⢾⠀⣾⣿⣿⣦⣾⣟⣿⣿⣤⣾⣿⡿⠏⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣦⣤⠀⢻⣿⡿⠟⠿⣿⣿⣿⣏⣉⣿⣿⣷⣨⢻⣶⣥⠋⠎⠀⠀⠀⣹⣿⣿⣪⣕⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠉⣆⠑⢢⠅⣊⣥⣿⣿⡿⣿⣿⠽⣗⣻⣶⣿⣦⣙⣶⣿⣾⡷⠿⣽⣿⣯⣧⢿⣿⠛⡙⣿⣿⠛⡠⢃⡴⣎⢳⣋⡟⣿⡹⣌⡉⢖⣹⡷⢐⠢⡉ ⣟⡻⢗⡭⠘⣭⣾⣿⠇⡾⢰⣿⡿⣽⣞⣷⢯⣿⣹⣿⡿⢁⢢⣿⣶⣿⣿⣿⣿⣿⣿⣿⣽⣟⣿⣿⣷⣮⡍⠐⠀⣼⢋⣿⡽⣯⣟⡿⣾⣛⣧⠳⠥⠸⠧⣤⡁⠀⠀⠙⠚⠿⣟⣻⡏⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⢣⢄⡉⠆⡒⣽⣿⣿⣿⣇⣼⣿⣄⣺⢷⣫⣿⡏⠉⣿⡟⠿⠷⢟⠻⣩⠻⣿⣧⣟⡶⣵⣿⣿⣶⠳⣌⠻⣍⢧⣳⣼⢿⣧⡹⡜⣼⣿⣛⢿⣳⢶ ⣾⣿⡶⠼⣙⣌⣫⣫⠜⠁⣿⣿⣿⣧⣼⢿⣿⡾⢿⣿⣦⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⡟⣟⡿⢿⣷⢻⣿⣽⢿⣿⠳⣶⣤⣄⡈⠁⢀⣈⣠⣤⣤⣌⣁⣙⣒⢿⣿⣿⣿⣿⠿⣛⠩⠒⢠⢘⠢⡐⠬⣘⣴⣿⣿⣿⣿⣿⣿⣻⣿⣷⡹⣎⣾⣿⠟⡏⡍⡎⡝⢪⢑⠢⠐⠈⡙⠛⠿⠛⢋⡁⠻⠿⢾⡷⠟⠛⠭⢒⢡⠹⣛⢛⢿⣷⡚⢦⡝⡎ ⠿⠿⠁⠀⢉⠉⢁⢰⣶⣿⣿⣿⣿⣏⣇⢷⣿⣆⣱⣿⣿⣿⠇⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣇⣰⣿⣷⣸⢹⣿⣿⣾⣿⣿⡿⢿⣿⡿⢿⣿⣿⢿⣿⣿⣿⣆⠹⣿⡿⠉⣆⠸⣰⣶⣿⣶⣾⣆⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣉⡹⢎⣱⡸⢸⠀⠁⠆⠀⠆⠁⠆⡀⠆⠀⠸⡀⠀⠁⠁⣾⣷⡉⣉⡰⠎⡆⠷⣈⡈⡆⣿⣿⣇⠾⢱ ⡶⠶⣶⣶⣶⣤⣶⣿⣿⠛⢻⣿⣷⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣷⣿⣿⣿⣛⣿⣿⣿⣿⣏⣙⣾⣷⣿⣿⣦⣾⢿⣽⣻⡞⠛⣿⠏⠐⠿⢃⠃⢤⣿⣟⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣿⣿⡟⠲⠖⠳⠟⠁⠌⠀⠁⠀⠂⠄⠀⠂⠀⠀⠀⠉⠀⠀⠀⠈⠉⢻⡿⢏⠩⠝⢳⣬⣵⣈⠖⡩⢆⠜⠻⣿⣵ ⣿⢿⣝⣯⡿⠛⣿⣿⣿⣷⣾⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⡎⡟⣽⡟⠺⣟⡽⣿⡟⢰⠀⠀⣿⠊⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣉⠏⣫⠽⣩⠅⣒⠈⠤⡀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠙⠁⠈⣠⢷⣄⠛⢧⠷⣬⣘⠱⢤⡑ ⣿⡻⡾⣽⢻⡟⢯⣽⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠙⠛⣿⣿⡏⣿⡿⠛⣿⣿⡿⠿⢿⣿⡟⠠⢟⣀⣼⢇⡉⡔⢻⣿⣿⣿⣿⣿⣿⣿⣿⡽⢿⣎⣱⡦⠘⠤⣻⣹⣿⠐⠬⡑⢠⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⠛⠀⠐⠂⠉⢻⡘⢢⡘ ⣼⡿⣽⢲⢫⢼⣷⣿⣿⣿⣿⣿⣏⠛⣾⣟⣯⣿⠿⣧⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⡽⣝⣳⣛⡾⣝⣻⢟⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣴⣿⣷⣿⣿⣿⡶⢿⣟⣥⡱⡊⣿⢈⣠⣾⠫⠔⣈⠢⡐⢍⢻⣿⣭⣿⣿⣿⡿⡍⢿⡾⢿⡱⣈⠄⢣⡆⢩⡁⢎⡰⢉⠄⡂⠤⢁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢈⢛⢣⣘ ⣿⣛⡾⣻⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣝⡳⣽⣹⢮⠷⣽⣹⢞⡽⣳⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⡠⣤⢿⣆⣣⣿⣶⣥⣦⠿⠩⡑⠢⡡⢡⢂⡑⠌⠢⢴⠟⠿⡿⢟⢋⠴⣁⣯⣵⠃⣿⣿⣧⣴⣿⠦⠍⠤⠰⢁⡊⢔⡈⢆⠦⡑⡌⢔⠨⣄⣐⡈⠆⣉⣤⣤⣁⣀⡐⠤⡐⢠⡐⡀⢀⠀⠀⠁⢿⣏⡟⡷⠀⠂⠁⠿ ⠈⢻⣿⡗⣻⣿⣿⣿⣿⠟⡡⢚⣿⣿⣿⢯⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢧⢯⣝⣧⡻⣞⡽⣧⢯⢯⣽⢳⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣔⣨⣾⣿⣿⡿⣟⣿⣿⣄⠃⡌⢡⠂⡅⠢⠌⡄⢂⢾⡀⢀⣾⣷⣦⣶⣿⡿⣾⡇⢀⠁⣠⣘⡇⢎⢍⡒⣡⢠⣌⣦⣾⣬⣶⠷⢾⡞⠿⣬⡹⢽⢛⣍⡣⢽⡩⢏⡽⠷⣾⢶⣿⣮⡐⢀⢀⡀⠄⠻⠞⠁⢀⠀⣀⣀ ⣿⣿⠻⠻⠿⣿⡟⢛⢿⣶⠻⡐⣸⣿⣦⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⢿⣿⣿⣿⣝⣾⣱⣻⣾⣼⣯⣿⣿⣿⣿⣿⣿⣿⣿⣯⢿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣷⠘⠄⡃⣬⣬⣥⣼⡴⢳⡟⣡⡀⣿⣯⡿⠟⡛⠟⣛⠠⠁⠢⠹⢃⣙⣾⡶⣶⣶⢾⠿⣱⡝⣞⣬⣋⢧⢻⡝⣦⢹⣎⢳⡌⢧⡣⣝⡸⣈⣹⢮⣯⣟⣿⢿⢿⣿⣷⡊⠀⠀⠀⠀⠸⣇⡾ ⣿⣿⡱⠡⢾⠿⣷⣬⣾⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣟⣿⡿⣷⢫⣶⢫⡷⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⡿⠻⣿⣿⠻⡿⣿⡾⠛⠻⢋⠀⠀⠈⠀⣿⠀⠘⠿⠈⣹⣿⣷⡄⢿⣿⠏⡀⢷⣶⣿⢿⣇⠚⡱⢎⣯⣝⣧⣻⢳⣦⣛⡼⣣⢻⡜⡳⢎⡳⣜⢣⡓⢦⢣⡝⢮⣳⡭⣟⣷⢾⣟⣿⠛⣿⣿⣶⣄⠐⠢⠄⠀ ⣿⣿⣧⣱⣬⣾⣿⣿⣿⣿⣿⣿⣿⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡎⣽⣓⣿⣳⣿⣿⣿⣿⣾⣹⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣷⣬⣿⣿⣧⣿⣿⣇⠀⠀⠀⣀⣀⣤⣤⣼⣷⣤⣶⣶⣿⣿⣿⡯⢐⡀⠢⣴⡿⡻⣮⣽⣾⣦⡴⣾⣿⡼⣧⣿⣿⣿⣿⣗⣧⡷⠾⣵⣭⣱⣬⠶⢭⣼⣊⣭⣻⣷⣻⡽⣞⣯⡟⣿⣷⣿⣿⣿⣿⣿⣷⠀⠁ ⣿⣿⣿⣿⣿⣿⣿⢿⣛⣿⣿⣟⡾⣟⣿⣏⣻⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⡿⠛⠙⠛⠏⠁⠉⠛⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⠛⡠⠉⡉⠀⠄⣾⠸⣿⣿⣿⠟⡡⢖⠰⣧⠐⢹⣿⣷⠅⣙⣿⣳⣿⣿⣿⠷⠻⠿⠟⠁⠀⠀⠘⠁⠀⠀⠀⠚⠋⠀⠀⠀⠀⠋⠉⠀⠉⠻⠟⠛⠻⢿⣿⣿⠿⣿⣻⣿⣿⣿⣦⣀ ⣿⣿⣿⣿⣿⣿⡇⣾⣿⣟⡿⣞⣿⣿⣻⢭⣿⣿⣿⠟⠛⠋⠀⠀⠄⠋⠁⠈⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠁⠁⣀⣤⠰⣦⣁⡀⠀⠀⠙⣿⣿⣿⣿⣯⣟⣻⣿⣿⣿⡿⣇⠀⢀⠀⠀⠄⠀⣿⡀⠙⢿⣫⣴⣷⣊⠱⢰⡘⣼⣿⣿⣿⣿⣿⠿⠛⠛⠁⠀⢀⣀⣤⣤⣴⠶⠶⠾⠞⠛⠛⠛⠛⠛⠛⠛⠒⠶⠶⠦⢤⢬⣠⣠⠐⡀⣿⣿⣾⣿⣟⣿⢿⣿⣛⡙ ⣹⣿⣿⣿⣿⣿⣧⣿⣷⢯⣿⢿⣳⣯⢷⣿⣿⠏⠉⣠⣠⡴⠆⢈⠛⠲⢦⣤⣂⠐⠀⠈⠻⠿⣿⣿⡿⠛⠉⠀⢄⣠⣴⠟⠉⠀⠀⠀⠉⠻⢷⣄⠀⠄⠉⢿⣿⣿⣿⣿⣿⣭⣿⡛⣧⠁⣠⣶⣶⡌⠀⣾⠃⣴⣶⡻⠿⢿⣼⣾⣷⣷⣿⣿⣿⣿⠛⠋⠈⣀⣤⡶⠿⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠶⣿⣿⣟⣾⣽⣯⣿⣻⢿⣿ ⡝⣿⣿⣃⣽⣿⣿⣛⣾⣿⣞⣯⢳⣯⡿⣿⠏⣄⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣤⣄⡀⡀⠛⠁⢀⣤⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣆⡀⠸⣿⣿⣿⣿⢈⣿⣿⠀⣽⡀⠻⢿⣿⢓⢀⣹⣮⣙⣟⣥⣿⣾⣿⣿⣿⣿⡿⣾⡟⢀⢀⣶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣽⡾⣟⣾⣛⣿⣽ ⠻⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⢿⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠳⢦⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠻⣧⣅⠀⢻⣿⣿⣿⣿⡇⠀⠙⣧⠀⠂⠠⠀⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣶⠟⠃⣥⡏⠁⠈⠀⣄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠈⣿⣿⡾⣟⣿⣽⣿⠦⠿ ⣄⡀⢿⣿⣿⣿⠿⣣⠟⣿⣿⡏⠀⠀⣼⢋⣙⣷⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡰⢠⢁⠹⣟⡄⣼⣿⣿⣿⣿⡇⠀⢾⡏⠀⠀⠄⠄⢹⣿⣿⣷⣾⡿⣋⢇⣬⣉⣹⣿⣿⡀⣰⡏⠀⠀⠈⠀⢿⣾⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣾⣿⣿⣶⡘⠛⠛⠛⠋⠙⣷⡀⠀ ⣝⠻⡜⣿⣿⣧⣛⣱⢫⣿⣿⡷⠀⣾⠃⠈⠉⢹⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⣤⣤⣤⣶⣿⣃⢣⢌⡒⣿⢰⠌⣿⣿⣿⣹⣇⠤⢤⣿⡠⠁⠀⠠⠀⠻⢿⣿⢏⡐⣶⣿⣿⣧⢸⣿⡿⣁⣾⠁⠀⢀⠠⡀⣼⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣿⣿⣿⡇⠀⣠⣀⡀⠠⠘⣇⠀ ⡜⢫⠞⣜⣻⣿⣿⣿⣿⣿⣟⠀⢸⡇⠂⢄⠩⡌⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠉⣛⣛⣟⣩⡍⡍⢦⠜⡴⣿⠤⣻⡿⣛⢮⡝⣿⠉⠁⢸⣿⣄⠁⠀⠠⠀⣀⡘⠷⣬⣙⠛⠛⠃⡩⢝⣷⣬⣺⡆⠰⢈⠆⣅⢻⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⢀⣤⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⣿⣿⡇⡀⢯⡽⠋⠀⠀⣿⣂ ⡼⣩⠟⡴⢣⡝⣿⣿⣿⣿⣿⣷⠸⣧⢡⢎⡱⠌⣏⢿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠐⢰⡟⠉⠉⠀⠉⠈⠛⢿⣞⣼⢏⣶⣽⡗⣯⠺⣜⣿⣄⠀⢨⣇⠻⣾⢒⠳⠟⠉⠉⠛⢉⣿⣅⣉⡅⢱⢣⡙⢿⣯⢿⣗⡉⣆⠔⡬⠙⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⣨⠛⠚⢃⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠿⠿⣫⠔⣢⠆⡰⠀⠀⢰⡿⣂ ⡷⣡⠻⣜⡳⡜⡭⣿⢻⣿⣿⣿⣧⡹⣧⣎⠖⣞⡰⣾⢷⢂⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⠐⠀⠀⠀⠀⢀⠘⠷⣿⣛⢮⡹⣖⡻⣜⣿⠼⣛⣹⠛⠉⢁⣠⣴⠶⣦⠴⣷⢶⣯⣯⡉⠹⢧⣦⣽⣚⢿⠿⣟⢷⣼⣌⢒⠉⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠷⠶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢨⠑⠦⣅⢲⠱⣑⠂⣡⡿⢃⣾ ⢷⡱⣋⠶⡱⣋⣶⣿⣗⣲⣍⢻⡹⢿⣈⣻⣾⣥⣓⠷⠾⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣘⣷⠨⡀⠀⠀⠀⠀⠀⠘⣷⣽⣪⢗⡧⢻⡜⡿⣺⠉⠸⣶⣴⡿⡻⣌⢟⡬⢳⡍⡞⡼⣹⣻⣶⣄⠀⠿⣝⠻⢾⣛⠶⢿⣝⣳⣾⣬⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡋⠼⢐⣃⣧⡥⢾⣋⣷⣟⠛ ⣧⠳⣍⠯⣕⠯⢽⣻⢯⢣⣎⡳⢭⢏⣿⠽⣫⣽⣿⣿⣷⣶⣶⣶⣦⣤⣤⣤⣤⣾⡿⣶⣶⣤⣴⣶⣴⣾⡿⣿⣷⣶⣿⣿⣿⣿⣿⣧⣌⣔⣠⣦⣴⣠⣬⣿⣿⣿⣿⣭⣳⡞⡷⠡⣰⣾⢛⠶⣩⢳⣚⣾⣽⣓⠞⣭⠳⡵⢲⡕⡻⢷⡄⠈⣧⡀⠋⡄⣤⢏⠉⠁⢀⣬⢿⡿⣿⣿⡿⠿⠿⣛⣻⡿⡉⡙⢾⣳⣦⣤⣤⣶⣶⣶⣶⣶⣶⣷⣿⣿⣻⢯⠶⠛⢛⣯⣟⣾⣟ ⣎⢳⣌⠳⣌⡛⢦⠻⣎⠞⡿⣹⡞⣛⣴⣾⣿⣿⣿⣿⣿⣿⣿⡟⢙⣿⣿⣿⣿⣿⣧⣽⣻⡿⣿⢾⢿⣭⣷⣻⣿⣿⣿⡏⠛⣻⣿⡿⣿⣻⡿⣽⣻⣿⣿⣯⣿⣯⡟⠀⣽⣋⠽⡷⣏⠖⣏⠾⣱⢓⢮⡜⢧⣫⢝⡲⢏⡵⡳⢎⠷⣋⢿⡆⠀⣧⠻⢵⣫⡞⣨⡾⠻⢥⢶⣩⣿⣡⣤⢛⢛⢍⣾⡡⠍⢟⣾⠉⠙⣟⠛⠛⣿⣯⣿⣿⣿⣏⣹⠟⢿⢧⣤⣾⢟⢭⡙⢾⡟ ⡝⡲⢬⡓⡼⣙⢮⣙⠮⣿⣿⣿⡾⠿⠿⢿⡛⢻⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⡿⠿⣏⣭⡵⢛⡉⢸⣶⣬⡕⠛⢿⣿⣿⣿⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⣽⣿⣛⠿⡷⣾⣛⢬⡛⣬⠳⣥⢫⠶⣙⡳⣬⢇⡻⡜⢶⣙⢏⡞⣭⢚⣿⣴⡘⣦⣐⣠⡾⣿⣾⣿⣿⣿⣾⣥⣤⢷⣾⣷⣼⡷⣿⢿⣯⣽⣳⢾⣋⠁⣀⣿⡿⣧⣄⣼⣯⣿⢿⣩⢛⡿⣧⣮⠦⠽⠬⡿ ⡽⣘⢧⡙⣵⠹⢦⣋⠞⣻⠷⡿⢷⢞⢻⡿⣰⣿⣿⣿⣷⣾⣿⡿⠟⢛⢉⣴⣤⣾⣿⢃⡁⠰⣈⠰⡀⡐⡛⡦⣶⡈⠙⠿⣿⣿⣿⣿⣿⣿⠛⣯⡷⣯⡽⣿⢶⣯⣿⠟⣜⢫⢳⡩⢖⡹⢆⢿⡰⢏⡞⡵⣓⢮⢎⡳⡝⣎⠮⣎⡽⣏⢏⣻⡏⠙⢿⣤⣼⡉⢛⣯⣙⣽⣯⣿⡻⣽⣹⢶⡭⣗⡻⣭⢯⣝⣻⣹⣿⡾⣛⡯⣁⣿⡨⠉⡛⣿⢿⣿⣯⣿⣼⡽⠖⢦⡀⠀⣴ ⣱⢭⡲⡝⢶⡙⣧⢹⡊⠱⠽⣸⢍⣾⣿⠷⣿⡛⣻⠛⢋⣿⣄⣴⣷⣶⣿⣿⡿⢻⣿⣼⣶⣶⣦⣬⣥⣴⣿⣿⣏⣷⠿⣧⣄⣹⣛⣿⣿⣿⣿⣿⣿⣷⠻⢽⣯⡿⢯⣿⢿⣿⡶⣙⠮⣕⢫⠶⣍⡻⡜⣵⢋⡮⢇⡻⠼⣌⠷⣤⠸⣜⢺⣼⣧⣠⡼⣂⠈⣩⡟⢡⠉⠻⣾⣿⡹⢾⣿⣿⡞⣵⣿⡼⣻⣾⣿⣿⣞⣋⣽⣷⣭⣾⠟⢛⢷⣄⣤⣄⠙⣃⡀⢂⣼⡚⠁⠁⠉ ⣬⣶⣭⣮⣧⣻⣘⣶⣡⣰⣇⠳⣾⡿⣿⣽⡿⣭⣿⣿⡿⣯⣿⣿⣥⣼⣿⣿⣷⣾⣿⣿⣿⣿⡿⣿⡿⣿⣿⣿⡧⢸⣶⣿⣿⣿⠛⣿⣿⣾⣿⣿⣿⣿⣷⣿⣻⢜⠧⢿⠿⣻⢱⡍⡞⡬⢇⠿⣌⡳⣝⡬⣇⢯⢳⡹⢣⠻⣜⡲⢻⡜⣻⢿⡟⢡⡟⣨⣾⣿⣴⠿⠖⠶⣾⣗⡿⣿⣻⢳⣽⣩⣿⢹⣧⢛⡿⢿⣷⣽⣶⠿⢿⡍⠀⡴⠌⢩⠌⠉⢻⣿⣿⡿⣻⣿⣶⣄⢀ ⣐⢆⡱⣦⠿⠿⠩⢎⣿⣿⣿⣯⣻⣷⣀⣟⣾⣿⣟⡷⠛⣯⡷⣯⢟⣿⣿⣿⢟⣾⡇⣉⠛⠩⠒⢐⠰⠈⡍⡩⠐⡉⢿⣿⡿⣿⣿⣿⣻⡟⠻⣿⣿⣿⣿⢿⣿⣿⣞⡭⢞⡥⣓⢎⡳⣍⢯⡹⣼⢱⡎⡵⢎⡾⢥⢻⡱⣋⠶⣩⠓⣞⡱⣾⡁⢸⣶⣿⢿⡟⠁⠀⠀⠠⡙⣿⡿⣽⣿⣟⡶⢷⣾⣽⡾⢟⣾⣿⠟⠉⠙⣷⠐⢿⡀⠘⡀⠀⢡⠀⠈⢿⣿⣿⡿⣿⣿⣿⢷ ⣴⡶⠮⢁⣬⣜⡦⢾⣿⡿⣿⣿⣷⣿⣿⣿⣿⣿⣾⣿⢶⣻⣽⣿⣯⣿⣿⣽⠯⣿⡇⣼⣶⣬⣇⣨⣬⣅⣶⣶⣶⡍⠘⣿⠉⣯⠷⣯⣳⢯⡿⡽⢿⡽⣿⣦⣿⣿⣿⠿⣷⢎⡵⣊⠗⣎⠶⡹⣬⢳⠽⣜⢣⢞⡣⣏⠶⣹⠲⣥⡛⡴⣹⡏⢡⡿⢿⡷⢸⠀⠀⠀⠀⠀⠰⢸⣿⣣⡾⣹⣿⢂⢖⡂⣼⣿⣿⠃⡀⠀⠀⠘⣿⠘⣷⣶⣤⣾⡿⠠⠀⣾⣿⣿⢿⣳⡻⣞⢯ ⠇⠀⠀⠉⠁⠀⢀⣿⣿⣿⣿⣿⠿⠿⣿⢿⡉⣿⣿⢿⣿⣿⣿⣀⣿⡿⣷⣇⣰⣿⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⡆⢹⣿⣹⢿⢷⠉⣾⣹⢿⣹⡹⣎⣿⣏⣿⣿⣷⡿⠿⣷⢉⡾⣉⠾⣱⠏⣇⠿⣈⠷⣎⢷⡸⣇⠏⡷⢇⡹⣱⣿⣷⡿⣁⣿⣷⣸⣇⠀⠀⠀⠀⢈⣸⣿⠿⣿⣷⡿⠾⠶⣶⣿⢿⣿⡆⠁⠀⠀⠀⢹⡇⠸⣿⣿⣉⠀⣀⢷⡿⣷⣾⣿⢷⡹⣎⠹ ⠠⠄⠀⠀⢠⣶⣿⣿⣿⣿⣿⣿⣷⡾⡋⢋⠻⠿⠛⠿⣾⣿⣯⣿⠟⢽⣣⢿⣹⣿⠐⢿⡿⠟⠏⢉⠏⡉⢛⠿⠛⡡⠃⠈⣿⣟⡾⣏⣶⣻⣽⡾⣽⣿⣿⣾⣿⡿⢿⣇⣽⣾⣷⣋⠶⣩⠞⡥⣟⢮⡳⡝⢮⡱⢮⠵⣎⣏⡌⢯⡼⣿⣟⣷⣟⣻⣧⣟⣧⣿⣷⣤⣴⣤⣾⡿⣝⡷⣾⡿⠀⠡⢁⣾⢯⢽⡹⣿⣵⣀⣀⢀⣈⣻⣆⡘⣿⢿⣭⣭⢾⡛⡱⣎⢿⣍⣽⡾⣿ ⠁⠀⣰⣶⣿⣿⣿⣿⣿⡿⡿⢿⡿⠁⠀⠀⠀⠀⠁⠈⣿⡷⠻⠾⢷⡶⢯⣿⣥⣿⢀⡃⠀⡋⠆⢘⡘⠀⢈⡒⠄⢸⢱⠈⢸⣯⣯⣽⠞⠏⠉⣴⣮⢿⣿⣋⣁⣶⡿⣽⣿⣞⠯⣿⡞⣥⢛⠶⣩⠷⣙⣞⢣⣝⢣⡻⠴⣎⠾⣱⣺⣷⡾⢿⣿⣽⣿⢻⣻⢯⡿⣿⣿⣭⣿⣟⣧⣻⣿⣁⢌⡐⣈⢿⣮⣳⡝⣷⣿⣿⣿⣿⣯⣭⣟⢧⣿⣚⣌⣣⣷⣿⢿⣻⣟⣿⣿⠾⢽ ⣤⣼⣿⣿⣿⣿⣿⣿⣿⣷⣷⣿⣿⡀⠀⠀⠀⢰⣆⠀⣿⣿⡤⣵⣵⣀⣬⣂⣉⣫⠷⠄⠀⡇⡃⢈⠜⠀⠀⠞⡀⠘⣸⠀⠻⣽⣠⡼⣶⢶⡛⣉⣄⣶⢶⢿⣫⣽⣞⣿⡿⣷⢶⢿⣙⢦⣋⢞⡱⣞⡱⣎⡳⣬⠳⣍⠷⣊⠷⣳⣿⢿⡙⢿⡶⣬⣿⡷⢟⡛⠶⠬⣽⣭⡟⡻⢿⡥⠉⠉⠉⠉⠉⡉⠛⠓⠛⢋⢸⣿⡽⠾⠟⢓⡟⠛⣻⣉⣿⣤⠾⣷⣯⣿⡭⢷⣶⡛⣏ ⣿⣿⣿⣿⣿⣿⠟⢋⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣿⣯⣷⣌⣋⣄⣈⣷⣁⣘⣻⣜⠀⡀⠣⠅⠰⣘⠀⠀⢃⠃⢀⢆⣦⡄⣾⢀⣠⣡⣷⢾⣯⢽⣫⢟⡾⣭⣼⡿⣏⢳⡍⡞⢦⢫⠖⡭⢎⡵⢮⠵⢮⡵⢎⢷⡙⡾⣡⢿⡿⣯⣲⣙⣾⣱⢳⣉⠞⣫⢛⡞⣧⣤⣿⣋⣍⣯⡁⠄⠂⠀⠌⠀⠠⠀⠈⠀⠢⢘⡦⠧⠺⡗⣛⣛⣏⣹⣭⠶⡶⣛⡯⣍⠗⣺⡍⢾⣕⣎ ⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣠⣟⣿⡻⣿⡛⢻⣿⡇⣊⠐⢀⠣⠃⢐⠢⠀⠀⣱⣾⣿⣿⣿⣧⣌⢻⣟⡏⠛⣾⣵⣯⣼⣿⣻⢼⡲⡝⡼⣡⢞⡹⢎⢧⣋⠷⣙⢮⠳⣝⡺⣜⣻⢾⡿⡔⣯⡿⠃⢠⣽⣙⠻⢶⣧⣾⣯⣑⢎⣴⣷⡿⣿⣿⣿⣩⣄⡀⠂⠂⠰⡀⠂⢀⠊⢀⠡⡈⠿⣛⢟⣫⢝⣭⣞⡱⢎⣯⠾⡱⣶⣽⣯⠷⡼⠟⡭⢋ ⢛⣿⣿⣿⣿⣿⣿⣿⢟⡛⣭⢣⡈⣭⣙⢻⡛⡏⣣⢽⣿⢿⣾⡵⢿⣷⣻⣾⣿⣷⣦⣀⣬⣶⣥⣠⣭⣶⣿⣿⣿⣿⣿⣿⣿⡏⠏⠿⣷⣾⣿⣾⣷⣶⣿⡿⢷⣷⣹⡜⡱⣎⡳⣍⠶⣩⠞⣭⢎⡟⡴⢳⡚⣖⡫⡵⣹⡿⠁⢀⡿⡴⡸⠀⣰⡟⠐⠈⣉⠉⢹⡿⣟⠿⣾⣿⣛⠿⣷⣿⢿⣷⣴⡿⣿⣷⡿⢶⣤⣾⣭⢚⣲⣿⢶⣥⡿⢿⠹⠇⣯⡿⣿⣀⣀⠒⡉⠐⠍ ⣿⣿⣿⡿⣿⣿⡿⡽⢪⡕⣎⠶⣙⠦⣍⢖⠍⠆⣆⠴⣺⡆⢿⡇⡒⠌⠩⢽⣿⣿⣿⣿⣿⣿⣟⣉⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣟⡟⣻⣷⣮⡀⠈⡙⠷⢮⣵⣊⠷⣍⢞⢦⢏⡼⣓⢧⢛⡴⢳⣹⣿⣥⣌⣼⣷⡾⢛⢛⢉⠐⠌⠠⢄⠠⣸⡿⣭⣛⣿⢯⣞⣻⣿⣣⢯⣻⣯⢷⡳⣿⣷⡩⢒⠘⠚⡛⠋⠄⡑⠈⠈⠁⠀⠐⣸⣿⣟⡻⣟⣿⠀⡀⠈ ⣿⡟⣋⠷⡿⢃⡞⣌⠷⡸⣌⠳⣍⡚⣜⣪⢠⢰⡩⢞⢩⣿⣼⡇⠀⠀⠀⠀⣿⣿⣿⢽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⡷⠨⡍⢻⣄⣀⢜⢻⠙⠳⢾⣼⣊⣞⠲⣍⢎⡳⣜⣳⠟⠀⣨⡇⠬⡐⢢⠑⡌⢒⠨⢜⡐⢚⣿⣿⣷⣏⣾⣹⣞⡾⣵⣿⣷⣫⡽⢫⣞⡳⣽⣻⢶⣧⢈⠄⠈⠀⠂⠀⠀⠀⠀⠀⢠⣿⣻⢿⣵⣻⡿⢀⣶⡀ ⣏⡜⡨⡱⣍⠳⡜⣬⢳⠱⣎⠳⡜⣄⡀⡔⢇⣣⣽⣾⣿⣏⣸⡇⠀⠀⠀⠀⠹⣿⢿⣾⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⡹⣿⠢⢌⡑⢄⠛⠳⠿⢦⣤⣄⠀⠍⠛⠿⣼⣮⣳⣼⢏⢂⡼⢏⠰⢡⠘⡄⢣⠘⢠⠃⢆⣸⣿⣛⢾⡾⣿⡿⣷⡿⣿⣟⣿⣟⣿⣿⣿⣽⣻⠶⣭⢟⡽⣿⣦⡂⠀⠀⠀⠀⢀⣀⣤⣾⡟⣧⣿⣋⠍⡔⡊⢯⠐ ⣣⡘⡵⢱⢎⠳⣍⠖⣍⣳⣌⣷⣼⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣆⣶⣶⣶⣶⣾⣿⣿⣿⣿⣛⣛⣛⣛⣻⣟⣿⣿⣿⣿⣿⣯⣭⣭⣭⣯⣿⣿⣿⡽⣞⡟⣦⠈⠆⣉⠒⡌⠂⢆⡙⠷⢶⣄⣠⣔⠊⠉⢳⣮⠟⢅⠊⡑⢢⠑⢌⠢⣵⢶⣿⣿⢿⣿⣽⣾⣉⣁⣋⣣⣹⣿⢞⡶⠽⠎⠷⣫⣽⣾⢿⣾⣿⣿⣴⣻⣿⡻⢿⣿⣿⣻⣿⣽⣾⢿⣻⢏⣿⠹⠱⣡⠢⢁ ⣿⡎⡵⢋⢮⣹⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣟⣻⡛⢟⢻⡹⢻⠿⢿⣽⠻⢽⢛⣯⢿⣿⣿⡷⠟⠰⢆⢚⠨⢄⠣⢌⠃⣒⢈⠒⠢⡌⠥⡉⢛⢛⣋⣃⣮⣄⠣⣉⠄⢫⢀⠻⢯⣠⣼⡏⡙⠳⡍⠟⠿⡻⢟⡿⣻⢯⠿⣿⣷⣿⠿⣿⣿⣽⣶⣷⡾⣿⢿⣿⣿⢿⡻⣏⠿⡽⣚⠷⡭⠻⠭⢛⡒⠢⢀⠐⡒⡠ ⣩⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣛⢮⡹⢦⡛⡴⢣⢞⡲⢥⢋⠶⣡⠳⡭⢎⡳⢭⠯⣝⡻⢻⡳⣶⣤⣄⡠⠉⠙⣧⣢⠐⢢⠸⡿⢠⢉⠒⠤⡁⠎⡄⠣⢌⠒⠄⢃⣊⣥⣶⣶⢾⢿⣻⣯⣿⠷⡿⣿⣶⣼⣁⡆⡘⢈⢏⡐⠤⢉⡑⢨⣮⣿⣖⡨⡐⠤⢊⣳⣾⡻⣝⣻⢯⡻⣷⣧⡈⠜⡡⢡⢁⠻⣷⡈⠌⡱⢠⢁⠒⡄⢓⡈⠡⠄⡃⡌⢒⠡⣡ ⣿⣿⣿⣿⣿⣿⣿⣿⢟⡻⣿⣿⣿⣿⣿⡟⡯⡜⢦⡛⢦⠛⡵⡹⣍⣛⢮⡙⢮⡝⢮⡱⢫⠽⣩⢞⡱⢺⢬⡙⢧⡹⣒⠧⣫⠟⣷⣤⠈⢻⣬⣡⢘⣃⣔⡈⣌⣦⡑⡘⢠⣩⣦⢾⡻⣟⣻⣽⡶⣟⣻⣏⡟⣶⢣⡟⡵⢮⡵⣺⡝⣿⡻⣶⣦⣌⡔⠢⠌⣹⠿⣽⡟⢡⡑⢼⣛⣿⠾⣷⠿⣾⢮⣽⢻⣞⣹⡇⡒⢄⡊⠔⣿⡇⢣⠐⣁⠂⡱⢈⠆⡌⡑⢂⠱⡀⢎⠰⡹
🎀🍓໒꒰ྀིᵔ ᵕ ᵔ ꒱ྀི১
⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢔⡚⢀⣇⠤⠒⠚⠙⠛⠦⣄⡀⠀⠀⠀⠀⠉⠉⠓⠢⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡜⠋⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠀⠀⢀⣠⠤⠤⠤⢽⣢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣈⣳⣠⢞⠁⡠⠦⠤⠢⣀⣀⡇⢀⡠⣒⠶⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡞⢸⠀⠀⠀⠀⠀⠀⣀⡴⠚⠉⢉⡀⠀⣠⢄⣠⣜⠀⣀⠀⣠⠞⠱⠒⢡⡷⠋⠀⠀⣘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡼⠀⢸⡄⠀⠀⠀⢀⡼⠃⠀⡸⠤⠜⠀⠛⠀⣜⡻⠤⠿⠤⣟⢣⢤⡧⣄⠟⠀⠀⠀⠀⠀⣧⣤⢤⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠃⠀⠈⣇⠀⠀⣰⠋⠀⡗⢆⠱⡄⠀⠀⠀⠀⣏⠀⠀⠀⠀⠀⢈⣱⠏⠻⡤⠰⠀⠀⠀⠀⠸⣏⠉⢉⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⡞⠀⠀⠀⢹⡄⢠⠇⢰⠉⠀⠈⢦⠙⣄⠀⣠⡶⢿⣆⠀⠀⠀⠈⠉⠘⣧⣤⢇⡀⠀⠀⠀⠀⣀⠼⠀⡞⢈⠉⠳⢦⡀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠹⣾⢠⡜⠂⠀⠀⠀⢣⡘⢾⠭⠓⠉⢸⠀⠀⠀⠀⣀⢼⠝⡀⠑⠫⠭⢎⣻⠭⢿⡉⢰⡁⠂⠌⠠⢀⠉⠲⡄⠀⠀ ⡅⠀⠀⢀⡔⠋⢁⡜⠹⡄⠀⠀⢀⡞⠳⡈⢳⣄⡀⠘⡧⢤⠴⣎⠝⡈⠐⠠⢁⠂⠡⢀⠈⡉⠣⠬⣏⠠⡁⠘⡀⠂⠌⠠⠙⣆⠀ ⢹⠀⢠⠏⠀⡸⠀⠀⠀⠙⢦⢀⡞⢁⠂⠹⣄⠻⡵⣄⢈⡽⣩⠅⣐⣠⡥⠲⠦⠙⠚⠓⠓⠲⠶⢤⣘⢷⣌⠐⠠⠁⠌⠠⢁⠸⡄ ⠈⡇⢼⠀⡀⢀⣠⠴⢰⠒⠺⡿⢀⠂⠌⠠⠘⣦⠙⣎⡿⢔⡷⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣦⡈⢳⡙⢷⣌⠐⡈⢁⠂⢄⡇ ⠀⠹⣦⠈⡖⠉⠄⠒⠈⠈⢹⠇⠠⢈⠄⡁⢂⠈⢷⡈⢷⠎⠀⣴⣄⠀⠀⠀⠀⠀⣀⠀⠀⠀⠻⠿⠃⠀⡇⣴⠋⠙⠒⠶⠾⠛⠀ ⠀⠀⠹⠄⠈⠁⠀⠀⠀⠀⢸⠠⢁⠂⡐⠠⢁⢂⣼⢳⡄⢣⡐⣿⡟⠀⠀⠀⠀⠘⠤⠂⠀⠀⠀⠀⠀⣰⡵⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⡀⠂⠄⣁⣢⠾⣥⡸⣟⣆⠱⡀⠀⠀⠀⠀⠀⠓⠒⠈⠀⢀⣀⠤⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠟⠞⠊⠁⠀⠀⠉⠛⢻⠒⠉⠲⡤⠤⠤⣤⠖⠒⣖⠛⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⢰⠙⠦⣠⡴⣷⠦⠴⢿⠲⡄⠙⢿⢣⡄⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠉⠀⠈⢱⠊⠑⠒⠉⢣⠈⢳⣤⡞⢠⡇⠀⡇⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢰⠃⠀⠀⠀⠀⠈⠳⢤⣤⠤⠞⠀⢰⠓⠦⠤⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠲⠤⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⣀⣀⣀⣸⡦⠴⢾⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡏⠉⠉⠉⠉⠁⠀⠰⣯⡄⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣄⣀⣀⣀⣀⣀⣀⣠⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠞⠁⠀⠑⡄⠀⠀⠀⠀⠀⠀⠀⢀⠤⠠⢄ ⠀⡘⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠈ ⠀⠇⠀⠀⠀⠀⠀⡄⠀⠀⠀⢀⠎⠀⠀⠀⠀⢸ ⠀⢸⠀⠀⠀⠀⠀⡇⠀⠀⠀⡌⠀⠀⠀⠀⢀⠃ ⠀⠈⡤⠤⡖⠐⢆⣇⡀⠀⣰⠀⠀⠀⠀⢀⠆⠀ ⠀⠀⣣⠰⢭⠂⢘⠆⠀⠀⠀⠀⠀⠀⢠⠊⠀⠀ ⠀⡰⠣⠄⠊⠉⠁⣀⡀⠀⢀⣀⡀⠀⠀⠱⠀⠀ ⠀⡇⠀⢀⠤⢊⡥⠄⠀⠀⠀⠀⡤⢕⢤⠀⡇⠀ ⠀⣅⠀⠎⠀⢻⣷⡞⢀⠀⠄⡘⢷⡾⠀⢃⡸⠀ ⡏⠀⠙⢆⠀⠀⠀⠀⢿⣿⣽⡇⠀⠀⢀⠎⠉⢠ ⠣⡀⠀⠀⠁⠢⡀⠀⠀⠉⠉⠀⣠⠔⠁⠀⠀⡸ ⠀⠈⠢⡀⠀⠀⢩⢛⡟⠀⢺⡛⡏⠀⢀⠄⠈⠀ ⠀⠀⠀⠈⢢⠀⠀⠉⠀⠀⠀⠈⢰⠔⠁⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡶⠟⠛⠛⠶⣦⣄⣠⣴⠾⠛⠛⠛⠳⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣴⡟⠁⠀⠀⠀⠀⠀⠈⠻⠟⠁⠀⠀⠀⠀⠀⠈⠻⣧⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣤⡾⠋⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠉⠉⠉⠛⢷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⣀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢷⣄⠀⠀⠀ ⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀ ⠀⣠⡿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣇⠀⠀ ⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⢿⡄⠀⢀⣴⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡀⣠⡿⠀ ⠈⠻⣶⡟⠁⠀⠀⢰⡇⠀⠀⠀⠀⠀⢀⣼⠷⣤⣤⣴⠾⠛⠷⠶⠶⠾⠛⢷⣄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠉⢻⣿⠁⠀ ⠀⣸⡟⠀⠀⠀⠀⣾⠃⠀⠀⢰⣶⠶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠙⣷⣄⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠹⣧⠀ ⠀⣿⠀⠀⠀⢀⣼⠏⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⡄⠀⠀⠘⣷⡄⠀⠀⠀⢹⡆ ⠀⢿⣄⣀⣠⡾⠋⠀⣤⣴⣿⠃⠀⢠⡞⠉⠳⡄⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⣴⠋⠙⢦⠀⠀⠈⢻⣶⠦⠀⠈⢿⣦⣀⣀⣾⠃ ⠀⠀⠉⠛⠹⣧⡀⠀⠉⡀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠯⠨⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⢀⢀⣠⡿⠉⠉⠉⠁⠀ ⠀⠀⠀⠀⠀⠈⠛⠿⠿⢷⣄⣙⣷⣤⣀⠀⠀⠀⠀⠀⠀⠲⠤⠤⠶⠂⠀⠀⠀⠀⠀⠀⣀⣤⡾⠋⣀⣼⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠉⠙⠻⠶⠶⣤⣤⣤⣤⣀⣀⣀⣤⣤⣤⣤⠶⠶⠟⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⋆ ˚。⋆୨୧˚
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⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛ ⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛ ⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛ ⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛ ⬛⬛⬛⬛🟪🟪🟪🟪🟪⬛⬛⬛⬛ ⬜⬜⬛🟪🟪🟪🟪🟪🟪🟪⬛⬜⬜ ⬜⬜⬛🟪🟪⬛🟪⬛🟪🟪⬛⬜⬜ ⬜⬛⬛🟪🟪🟪🟪🟪🟪🟪⬛⬛⬜ ⬛⬛⬛⬛🟪⬛🟪⬛🟪⬛⬛⬛⬛ ⬛⬛⬛⬜⬜⬜⬛⬜⬜⬜⬛⬛⬛ ⬛⬛⬜⬛⬜⬜⬜⬜⬜⬛⬜⬛⬛ ⬛⬛⬜⬛⬜⬜⬜⬜⬜⬛⬜⬛⬛ ⬜⬛⬜⬜⬜⬜🟨⬜⬜⬜⬜⬛⬜ ⬜⬜⬛⬜⬜⬜⬜⬜⬜⬜⬛⬜⬜ ⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣦⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⢿⡿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⢫⡝⢦⠳⡜⣭⢛⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⢣⠳⣜⢣⡛⡜⢦⢫⡜⢿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⣾⣿⡿⣙⢧⡛⣬⢣⡝⣜⢣⠳⣜⡹⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡷⣩⢖⡹⢆⡳⡜⡬⢇⡻⣔⢣⣿⣿⣿⣷⣠⣤⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⢱⡹⣎⠵⣋⠶⡹⣜⢣⠳⣌⠷⣞⣿⣿⣿⣿⡿⡻⢟⠿⣻⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⢦⣻⣌⠳⣍⢞⡱⢎⢧⡛⣬⢓⣿⣿⡿⢫⣍⢳⡙⣎⢳⡱⢎⡵⣻⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⠦⡿⣌⢗⣎⢮⡱⣋⢮⡕⣎⢧⣿⡿⣱⢣⢎⢧⡹⣌⢧⠳⣍⠶⣩⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡘⢷⡩⢞⡜⢦⡹⢥⡛⡼⣸⣾⣿⡱⢣⡝⣎⠶⡱⢎⣎⠳⣌⠳⣥⢻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⣯⠳⣌⠳⣜⡱⢎⡳⣌⠳⣥⢫⣿⣿⢣⢎⡵⡹⢆⠷⣜⡹⢆⡛⢦⣙⢮⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⣯⣳⣜⡹⣦⣿⣾⣷⣮⣷⣌⢳⢺⣿⣗⡎⢶⡹⣍⠞⣦⡙⢮⣽⣿⢿⣋⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⡿⠛⠛⠛⣿⡿⠛⠉⠁⠉⠙⣿⣿⡌⣏⠿⣿⣿⣦⣳⣌⣻⣴⣿⡿⢿⡙⢦⡙⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⡟⠀⠀⣠⣶⣿⣧⣀⣀⣀⣀⣴⣿⡟⡼⣘⠞⡴⣛⠿⡻⢟⠿⡻⢭⡙⢦⡝⢮⡱⢾⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣏⠀⣀⣼⣿⣁⣼⡿⠋⠉⠙⠻⣿⣷⣝⠲⣍⢞⡱⣍⢞⡱⣋⢞⡱⢣⡝⣦⢹⢦⡙⢦⡙⣿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⢠⣼⣿⡿⠟⠋⠉⠙⣿⡏⠀⠀⠀⠀⠀⣼⡿⣌⠳⡜⢮⡱⢎⢮⡱⣍⢮⡱⢳⡜⣥⢋⡶⣩⢧⡙⢦⡹⢿⣿⣷⡀⠀⠀⠀ ⠀⢠⣾⣿⣿⡀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⣴⣿⡟⣬⢳⡙⢦⣙⢎⠶⡱⢎⠶⣩⠳⡜⢦⡛⡴⢣⢎⡝⢦⣙⢎⢿⣿⣿⣄⠀⠀ ⣠⣿⣿⣿⣿⡇⠀⠀⢀⣴⣿⢻⣿⣶⣶⣾⣿⣿⡿⠾⠷⠿⠷⠿⠾⠿⠿⠿⢿⣶⣽⣜⣣⠝⣜⢣⠞⣜⢣⠞⡜⣎⢻⣿⣿⣄⠀ ⣿⣿⡟⡭⢿⢿⣶⡾⣿⣛⢦⣷⣾⠿⠿⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠻⠿⣿⣮⣧⢛⡬⢣⡛⡼⣌⢏⣿⣿⣿⡆ ⣿⣿⡟⣜⢣⠞⡴⢣⢧⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣜⡣⣝⠲⣍⠞⣾⣿⣿⡇ ⣿⣿⣟⡬⣇⠻⣜⣳⡿⠋⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠈⢿⣷⣎⠳⣌⠯⣽⣿⣿⡇ ⣿⣿⣧⠳⣌⠗⣾⣿⠁⠀⠀⣶⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣷⡄⠀⠈⢻⣯⢳⣌⠳⣿⣿⣿⡇ ⠘⣿⣿⡿⣌⢏⣿⣿⠀⠀⠀⣿⣷⣿⣿⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡃⠀⠀⣸⣿⢣⢎⣽⣿⣿⡟⠁ ⠀⠈⢿⣿⣗⢮⡜⣿⣦⠀⠀⠹⣿⡿⠟⠀⠀⠀⠀⠀⠀⣾⡿⠿⣿⣆⠀⠀⠀⠀⠀⠙⣿⣿⠟⠁⠀⢠⣿⢯⢇⣿⣾⣿⠟⠀⠀ ⠀⠀⠈⠻⣿⣷⣮⡝⢿⣷⣄⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⠟⠋⠀⠀⠀⠀⠀⠐⠋⠁⠀⢀⣴⣿⠟⣮⣾⣿⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠙⠻⣿⣿⣾⣽⣿⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⣿⣽⣾⣿⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⡿⢿⡻⢟⡿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⡿⡿⢿⠿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣵⣣⠝⣎⠶⣩⠞⣭⢻⣿⡇⠀⠀⠀⠀⢹⣿⡩⣍⢧⢣⢳⡙⣎⢳⣭⣻⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠟⠿⢿⣷⣿⣴⣯⣶⣿⣿⠇⠀⠀⠀⠀⢸⣿⣷⣼⣮⣧⣧⣿⡾⠿⠻⢿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⣿⣿⠛⠉⠁⠀⢀⣶⣌⣉⣉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⢉⡉⣉⣷⣄⠀⠈⠉⠙⣿⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⣸⣿⠿⠿⠿⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⠷⠿⢿⣿⡀⠀⠀⠀⣽⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣿⡀⠀⢠⣾⠟⠁⠀⠀⠀⠀⠉⢻⣦⡀⠀⠀⠀⠀⠀⣠⣾⠏⠁⠀⠀⠀⠀⠘⢿⣄⠀⢀⣾⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⠀⠀⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠄⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣤⣀⣀⣠⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⣤⠀⠀⠀⣀⣤⣾⣿⠟⠈⠉⠀⠀⠙⠛⢿⣦⣄⠀⠀⠀⣠⣴⣿⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⣿⣿⡟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⢿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣀⣀⣀⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡾⠋⠉⠉⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠙⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠞⠛⠳⣤⡀⠀ ⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠈⢷⠀ ⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀ ⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀ ⠀⠀⠀⠸⡇⠀⠀⠀⠀⣀⣤⠤⣤⣀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀ ⠀⠀⠀⠀⢿⡶⠛⠳⢾⡃⠀⠀⠀⠙⣇⣸⣇⣤⡤⠤⠤⠤⣤⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⠀⠀⢀⣠⠽⢤⡄⠀⢤⣿⣋⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢘⣦⡄⠸⢧⣤⡴⠋⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⡟⠁⠀⠀⢠⡷⣤⣤⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⠙⠷⠤⠴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠖⠛⠛⠉⠉⠉⠉⠉⠙⠛⠛⠲⠤⣄⡀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀ ⠀⠀⣾⠀⠀⠀⠀⠀⠀⣀⣴⠞⠉⣀⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣈⡛⢦⣄⠀⠀⠈⣷⠀⠀⠀⠀ ⠀⢠⣿⠀⠀⠀⠀⢀⡾⠋⠀⢠⣾⡏⠁⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠁⠈⢳⡆⠙⢧⠀⠀⢿⡄⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⢠⡟⠀⠀⠀⢾⡟⣷⣦⣴⣿⠀⠀⠀⠀⠀⡀⠀⠀⢸⣿⣦⣴⣿⡇⠀⠈⣇⠀⢸⡇⠀⠀⠀ ⠀⢀⣿⣦⣀⠀⡿⠁⠀⠀⠀⠸⣿⣿⣷⡿⠃⠀⣰⣀⣀⣙⣃⣀⣀⠈⠻⢷⣿⡿⠁⠀⠀⣿⡄⣼⠃⠀⠀⠀ ⣼⠋⠀⠀⠈⠻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣽⣏⢛⣿⣿⡄⠀⠀⠀⠀⠀⠀⢀⣿⠟⠛⠓⢦⡀⠀ ⡇⠀⠀⠀⠀⠀⠛⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣻⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⢷⠀ ⣷⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠘⠻⢯⣿⡿⠟⠃⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⢸⠀ ⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠈⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠋⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀ ⠀⠀⠈⠷⡀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⣶⢦⣤⣀⣀⠀⢀⣀⣠⣤⣶⣿⡿⠁⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀ ⠀⠀⠀⠀⠘⠶⣀⠀⠀⠀⠀⠀⠀⠘⢧⠻⠶⣿⡿⠃⠀⠈⢿⡽⠿⠋⣽⠇⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠘⣇⣴⠟⠁⠀⠀⠀⠀⠙⢦⣴⡏⠀⠀⠀⢀⣴⠚⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⣇⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
💞 .__join__ **mymelos** !!﹐・ᴗ・ ﹐**__new cute sanrio server__**﹕🩷 ﹐🎀 ﹕__pink & my melody layout !__ ﹐♡﹔__fun activites and cool channels !__。👛 https://discord.gg/Q3bv4yt4
⠀⠑⠤⡀⢀⠔⠒⠲⡃⠀⠀⠀⠀⢡⠀⢠⣼⠁⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠀⡰⠈⠀⠈⢢⠐⠭⡀⠀⠈⠀⠀⠀⠀⠀⠀⢘⡄⠀⠀⠀⠀⠀ ⠂⠀⠈⣌⠙⡢⠀⠡⢀⠀⡀⠌⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠛⢌⢢⠀⠀⠀⠀ ⠀⠀⠀⠈⢳⡀⠀⠀⠀⡰⠄⣀⣀⠤⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢗⢄⠀⠀ ⠀⠀⠀⡰⠁⠀⠒⠒⠊⠀⡀⠤⠀⠒⠒⠒⠒⠀⠤⠄⡀⠀⠀⠀⠀⠀⠈⠳⡈⠲ ⠀⠀⢰⠃⠀⠀⢀⠤⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⡀⠀⠀⠀⠀⠸⡀ ⠀⠀⡇⠀⠀⡰⠁⣰⡟⠉⠻⡆⠀⠀⠀⠀⠀⠀⢠⠞⠛⢶⣄⠈⠢⡀⠀⠀⠀⠁ ⠀⠀⡇⠀⡸⠀⣼⡟⢳⣄⣰⣧⠀⠀⠀⠀⠀⠀⢸⣀⣠⡾⠻⣧⠀⠰⡀⠀⠀⠀ ⠀⠀⡇⠀⡇⠀⠻⣧⣶⣯⣼⡟⠀⠀⠀⠀⠀⠀⠹⣧⣹⣷⣴⡾⠀⠀⡇⠀⠀⠀ ⠀⠀⠘⡄⢡⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⢀⠃⢠⠃⠀ ⠀⠀⠀⠘⢦⡑⢀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢊⢴⠁⠀⠀ ⠀⠀⠀⠀⡀⡌⠚⠷⡔⠁⠀⠀⠁⠢⡀⠀⠠⠊⠀⠀⠈⢂⡠⠔⣷⠁⡟⠀⠀⠀ ⠀⠀⠀⢠⠊⠀⠀⡞⡄⠀⠀⠀⠀⠀⢱⠎⠀⠀⠀⠀⠀⢸⣳⠀⡿⠀⡇⠀⠀⠀ ⠀⠙⠁⠀⠀⢀⡗⠉⠈⠀⠀⠀⠀⢀⠌⠡⠀⠀⠀⠀⠀⠁⠈⢂⠀⠀⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⢤⣇⠀⠀⠀⠀⠀⠈⠀⠀⠀⢸⣟⣤⣤⣴⢴⣴⠸⡧⣤⣴⣖⢠⡄
💞 .__join__ **mymelos** !!﹐・ᴗ・ ﹐**__new cute sanrio server__**﹕🩷 ﹐🎀 ﹕__pink & my melody layout !__ ﹐♡﹔__fun activites and cool channels !__。👛 https://discord.gg/YVAWvuT4
⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⢀⣀⣀⣀⡴⠋⠑⠒⠠⠤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢃⢀⣴⣋⢀⣯⠷⡍⣪⠉⠉⠒⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡸⠇⠰⠵⢀⡹⠽⠕⠛⠀⠀⠀⠀⠀⠱⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⠠⠮⠂⠉⠉⠂⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢢⠀⠀⠀⠀⠀ ⢰⠉⠀⠀⠀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⢰ ⠀⢁⡶⢲⠈⠁⠀⡤⢚⠒⠒⠢⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠠⠒⠉⠀ ⠐⠉⠀⢸⡄⠀⡹⣴⣿⡇⠀⠀⠀⠀⠉⠒⢲⠀⠀⠀⢠⠀⢃⠇⠐⠠⠄⠀ ⠀⠀⠀⠀⢣⣀⠇⠈⠛⠁⠀⠆⠀⠀⣼⣿⡆⢱⠢⠀⢸⠀⠈⢂⠀⠈⡄⠀ ⠀⠀⠀⢀⢴⠓⠳⢄⡀⠀⠐⠄⠀⠀⠙⠿⠃⠜⠆⠀⠈⢆⠀⢀⡆⠀⡇⢈ ⠀⠀⠀⠀⠢⠀⢠⠃⠈⠒⠤⠀⣀⠀⠀⢀⡜⠀⠀⡠⠂⠁⠉⠉⠁⠀⠈⠂ ⠀⠀⠀⠀⠀⠉⠺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠉⢢⠴⠥⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠤⣑⣦⡄⢦⣀⠀⠀⠀⡀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⡿⠭⠰⡒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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💞 .__join__ **mymelos** !!﹐・ᴗ・ ﹐**__new cute sanrio server__**﹕🩷 ﹐🎀 ﹕__pink & my melody layout !__ ﹐♡﹔__fun activites and cool channels !__。👛
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⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡿⡁⠰⣀⠙⠳⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡧⢇⠡⠄⢊⠡⡘⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⡾⠷⠷⠾⣬⣆⡡⢐⠡⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⠃⠤⠑⡨⠐⡄⢊⠛⣷⣆⠡⠚⣷⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⡇⡎⡐⢡⠐⡡⠐⡌⠰⢀⠽⣧⠑⡸⣟⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡁⠗⡈⢶⣥⠐⡡⠄⢃⠌⡠⢿⡃⠤⠹⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣵⠟⠓⣦⣙⠻⢶⣬⣦⣦⡵⠟⡠⠑⡈⢿⡆⠀⠀⠀⠀ ⠀⠀⠀⣶⠉⠁⡔⠲⡄⠈⡿⢀⠢⠐⡄⠢⢡⠐⡡⠌⠌⠻⣷⡀⠀⠀ ⠀⠀⣠⡿⣶⠀⠙⡊⠀⢸⠉⡄⠢⢑⠠⠑⢂⠔⡐⠨⠌⠡⠌⣻⣆⠀ ⠀⢠⡿⢁⠜⠛⢋⠙⣛⣭⡴⠶⠷⠚⠒⠛⠶⠶⢬⣅⡊⣁⠒⠠⢻⣅ ⠀⣿⡃⠎⣀⠣⣼⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢶⡌⣁⠚⣿ ⠀⣿⡁⠆⡉⣴⠋⢠⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⡈⢳⡍⡐⣿ ⠀⢻⣇⠢⢁⡏⠀⠸⣿⠇⠀⠀⠀⠀⢠⡒⡄⠀⠀⠹⠿⠃⠀⡇⣼⡟ ⠀⠀⠻⣷⣌⢷⡀⠀⠀⠀⠀⠀⠀⢠⠤⡤⠀⠀⠀⠀⠀⠀⣸⣷⠟⠁ ⠀⠀⠀⠈⠙⢻⣿⣦⣤⣄⣀⣀⣀⣀⣉⣀⣀⣀⣀⣤⣴⡿⠛⠁⠀⠀ ⢠⡤⢤⣤⣀⡸⠿⢦⣄⠰⣈⡿⠉⠉⠉⠙⢯⣉⡿⠺⠛⠉⠙⣧⠀⠀ ⢸⣆⠘⠈⠈⠀⠀⢀⡌⠙⠛⠁⠀⠀⠀⠀⠈⣍⣀⣀⣀⣠⡴⠏⠀⠀ ⠀⠈⢓⡖⠒⠒⡻⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⣧⡀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠉⠛⢿⡄⠀⠀⠀⠀⠀⢢⠀⠐⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠠⠬⡇⠀⠀⠀⠀⠀⠾⡀⠐⠺⡤⠤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣜⠆⠀⠀⠙⠶⠦⢤⣀⣀⣠⣧⣀⣤⠇⠀⠀⠘⡆⠀⠀⠀⠀ ⠀⠀⠀⠈⠒⠤⠄⢠⡀⠀⡀⠀⠀⠀⡀⢀⢀⡄⡤⠠⠜⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠖⠲⢦⣄⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⠀⠀⢹⡆⠀⢸⣾⢿⣛⢛⡶⢀⣠⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⡟⠋⠸⠼⣿⠃⢨⣟⣿⣾⣯⣿ ⠀⠀⠀⠀⠀⠀⢀⣀⠀⣰⣤⣄⢺⣿⣿⣧⠀⠀⢰⠏⠀⠀⠀⠀⠀⣠⣤⠶⠿⠶⢦⣄⡀⠀⠘⠋⠀⠘⠿⠻⣽⣿⡿ ⠀⢠⡶⡦⢚⣉⣩⣇⠀⢹⣇⣟⣻⣹⣏⣿⠀⠀⣾⠀⠀⠀⠀⣠⡟⠉⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠈⠁ ⠀⠈⣏⣷⠸⠿⠟⢻⡄⠀⠋⠛⠈⠉⠁⠀⠀⣀⣿⡄⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⠇⠀⠀⠀⠉⠁⠀⠀⠀⠀⢀⣤⠶⠛⠉⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⣴⠃⠀⢠⡏⠀⢠⠖⢦⣠⠤⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠶⠶⠶⠛⠁⠀⠰⣾⡁⠀⢸⡀⠈⠣⢠⡾⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⣾⠃⠀⠀⠀⣀⣤⠴⠶⠒⠲⠦⠤⣄⣀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠙⠒⠶⠚⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠿⠉⢳⠖⠶⣞⣡⣶⣦⠀⠀⠀⠀⠀⠀⠈⠙⠲⣄⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠞⠹⣆⣀⣠⠞⠀⠘⣇⣿⣿⠇⠀⠀⣀⠀⠀⠀⠀⣠⣤⡌⢳⡀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠃⣴⠒⡆⠀⠀⠀⠀⡀⠸⣆⡥⡤⣄⠘⠻⠃⠀⡀⠠⣿⣿⡇⠈⢧⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣏⠀⠙⠚⠁⣀⠀⠀⢾⣉⡧⠈⠙⣧⡻⡉⠙⠋⣻⢡⢄⠈⠉⠀⠀⠸⡄⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡄⠀⠀⢸⣉⡷⠀⠀⠉⠀⠀⠀⠈⢻⠱⠤⠔⠹⡌⢉⢤⡀⠀⠀⠀⢹⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⣇⣀⣠⢤⣀⣀⡴⠦⣄⣠⠶⣦⠤⣼⠷⠤⣤⣀⣀⣙⠋⠀⠀⣀⡠⠇⠀⠀⣀⡾⠀⢰⠟⢦⣠⠤⣤ ⠀⠀⠀⠀⣠⣄⠈⣏⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠉⠁⠻⢤⣭⣽⠟⠛⠛⠓⠒⠒⠒⠛⠋⠀⠀⠘⢧⠘⠁⣠⡿ ⢠⣶⠒⠾⠁⣸⠇⠹⣆⣀⣀⣀⣀⣀⣀⣀⣠⡼⠋⠁⠉⠉⠀⠀⠀⠈⣗⢲⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀ ⠀⠻⠦⠴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠉⢷⣄⠀⣰⢶⡂⠀⠀⢠⡯⠼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠖⠛⠁⠻⢦⣤⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠴⠒⠒⠒⠲⠤⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢳⣄⣤⣄⡀⠀⣠⡶⠚⠉⠙⠲⣄⠀⠀⢀⠸⣆⠀⣀⡀⠀⠀⠀⠀⠀⢀⡾⡁⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠈⢹⠏⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠉⠉⠉⠁⠉⠉⠉⠉⠉⠉⠀⠁⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀ ⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⢀⣤⠞⠛⠛⠲⢄⠀⠀⣰⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⡞⠁⠀⠀⠀⠀⠈⣇⠰⢧⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⠊⢳⡦⠸⡇⠀⠀⠀⠀⠀⢠⡟⠀⠀⢹⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⠀⠀⠀⣴⠋⠀⠈⠙⠦⣄⣀⣠⠴⠋⠀⠀⠀⣸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡀ ⠀⠀⠀⠀⠀⠀⠿⡀⠀⠀⠀⠀⠀⢸⡷⣄⡀⣀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⣹⠦⠤⠤⡤⠞⠋⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣦⣄⣀⣀⣀⣠⠴⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣦⠤⠤⠤⠤⢤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⣹⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠶⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⢿⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⢼⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢹⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡄⠀⠀⢸⡿⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⡀⠀⣿⡇⢀⣠⣾⡿⠟⠛⢻⢷⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣴⣤⣤⣄⠀⠀⢸⠀⠀⠀⠀⣦⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢷⡀⠘⣧⠘⠟⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠀⠀⠀⠀⠀⠀⠛⠋⠃⠀⠀⠩⠛⣿⣦⢼⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣀⣀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⢸⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣝⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣏⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣦⣀⠀⠀⠀⣀⡤⠔⠒⠒⠲⢤⡀⢀⣠⠴⠒⠒⠒⢤⡀⠀⠀⠀⠀⠀⢀⣴⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠛⣶⠞⠁⠀⠀⠀⠀⠀⠀⠙⣏⠀⠀⠀⠀⠀⠀⠈⢧⣀⣤⣶⡚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠉⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⢻⡅⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣄⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⣽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠛⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠛⡄⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠹⣄⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⢀⡼⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠈⠓⠢⠤⠤⠖⠋⠀⠀⠀⠀⠀⠈⠓⠦⠤⠤⠤⠴⠚⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⁺˚⋆。°✩₊🎀🍓ᴍʏ ᴍᴇʟᴏᴅʏ🍓🎀 ⁺˚⋆。°✩₊
🌸૮ ˶ᵔ ᵕ ᵔ˶ ა
⠀⠀⠀⠀⠀⡠⠄⠈⠈⠀⠐⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠄⠀⠀⢀⠠⡐⡔⢪⢔⠢⡔⢠⠈⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣎⠀⣄⠣⢎⡱⣱⢪⡑⢮⡱⢌⡣⣙⠦⣠⠡⡀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣘⢀⠲⡌⢧⢣⢓⡆⢧⡙⢦⡓⡭⢲⠥⡳⢥⡓⢦⢠⠡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠒⣬⠳⣍⠶⡩⠖⡼⡡⢞⡱⣜⡱⢣⢏⡵⢣⡝⣮⢣⢖⡀⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣌⠿⣌⠷⣩⢝⡲⡹⣌⢳⣌⠳⣭⢚⡼⢣⣛⡴⢫⡞⡴⣂⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢺⡹⢶⡹⢶⡍⡞⣥⢣⡝⢮⣙⠶⣩⢞⡵⢎⣻⡱⣎⡳⢇⡟⢦⠉⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣹⢯⡽⣣⢟⡝⣦⢳⡚⢧⡹⢞⡥⣏⢞⡹⢶⡹⣜⣭⠻⣜⢯⡳⢤⠐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠐⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣟⣞⡷⣏⡿⣜⢧⡳⣝⣣⢯⡝⡼⢎⡽⣭⢳⡝⣞⡼⢻⡜⣧⢻⡭⢖⡈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⢀⠠⡐⢄⠒⣌⡐⢢⠰⢄⠂⡄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⣼⣛⣾⢳⣏⣯⢳⣝⡺⡼⣩⢗⣫⢞⡼⢣⡟⣼⣩⠷⣹⢎⡷⣹⢏⡶⠘⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠀⠠⢄⠣⢌⠢⡑⡌⢎⡰⢌⢢⠱⣈⠎⡔⢣⢊⠴⡀⠑⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠧⣟⣾⣛⣮⢷⡻⣜⣳⢽⡱⢯⡜⣮⢓⡯⣜⠶⣣⢻⠵⣫⢞⡵⣫⢞⡳⡌⢆⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⢨⡑⢌⠲⣈⠵⡘⠤⣃⠖⡌⢆⠳⣠⠓⣌⢣⢚⢦⡙⣆⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⢹⢾⡽⣞⣯⣽⢻⣼⢣⡟⣧⢻⡜⣝⡲⣭⢳⡭⢳⣋⢷⣫⢞⡭⣏⢷⣱⡈⢄⠀⠀⠀⠀⠀⠀⠀⠠⢀⠧⣘⠢⢓⢌⠲⣉⠖⣡⠚⡜⣌⠳⣄⢫⡔⢫⡜⢦⡝⢦⣃⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢆⢯⢿⡽⣾⣝⡿⣼⢻⣜⢧⡻⣜⠧⣝⠶⣫⡜⣧⢛⡮⣵⢫⡞⡽⣎⠷⣜⠄⠂⠀⠀⠀⠀⠀⢠⠃⣘⠦⣅⠫⡜⣌⠳⡌⢎⠥⣋⠴⣊⠵⡘⡖⣜⢣⢞⣣⢞⡳⣎⣇⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠂⢯⣟⡷⣯⣟⣳⡟⣮⢏⡷⣭⣛⡼⢭⣓⠾⣡⢟⡼⣣⢟⡼⣳⢭⡻⣼⢩⠌⣄⠀⠀⠀⠀⠇⠰⣌⠳⣌⢳⡘⣤⠳⡜⣩⠞⣡⢏⠲⣍⠳⡜⣬⢳⣎⢧⣏⢷⣏⡞⡆⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡘⡾⣽⣳⢯⣷⣻⠽⣞⡵⣳⢎⡞⢧⡭⢏⡳⢏⡾⡱⣏⢾⣱⢫⠵⣎⢧⢣⠘⡄⠀⠀⢘⠠⣓⢮⣛⡜⣦⠝⣦⢛⡴⢣⢞⣡⢎⡳⣌⣳⢹⣬⢳⣎⠷⣞⣯⢾⣝⡆⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⡘⢷⣯⣟⡾⣽⣻⢽⣺⢵⣫⢞⡧⣻⠭⣝⣣⠷⡹⣜⢲⢣⢏⣳⢚⡬⣓⢂⠡⠀⠀⠈⡄⢫⡞⣵⢻⣬⢻⡜⣧⣝⡳⣎⢧⣏⢷⡹⣖⢯⡲⣏⣾⢻⡽⣞⡿⣞⡆⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⠉⣾⣽⣻⠷⣯⣟⣮⢷⡹⢮⡱⢇⣛⠦⣇⢯⡱⢎⠧⣋⠞⣰⢋⠶⣩⠖⡀⢇⠀⠀⢻⠨⣽⢞⣧⢯⣗⣻⠶⣭⣳⢏⡿⣼⣏⡷⢯⡾⣽⣻⣞⣯⢿⣽⣻⡗⡇⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠡⠱⣯⢷⣻⢷⣫⣞⢧⡻⢵⡙⢮⡜⠳⡜⢦⡹⢌⠧⣃⡛⡔⢫⠜⣡⠚⣁⠈⠀⠀⠀⠀⢾⣻⣞⡿⣾⣽⣻⣳⡽⣯⣟⡷⣾⣽⣻⣽⣳⣟⡾⣽⣻⣞⣷⣻⡅⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠡⡘⣯⣻⡽⣳⡽⣺⡝⢮⡙⢦⣙⢣⡝⢢⠧⣩⠚⢥⢊⡑⢣⠘⠤⡑⢄⢊⠴⠡⢎⠰⣉⠱⢫⢟⡷⣯⢷⣯⣟⡷⣯⣟⡷⣯⢷⣯⠷⣯⣟⢷⣛⣮⢷⣳⠃⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢯⣽⣳⡽⣣⢟⡣⡝⠦⡍⠶⣈⢇⠚⠤⣉⠆⡒⡌⢆⡍⢲⠡⠎⡜⢢⡙⣌⠳⢌⡓⢢⠎⡜⣩⠛⡞⢭⢛⠳⣩⠛⡡⢃⡜⠭⣓⢮⡛⣼⢣⡿⣭⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡌⢶⢻⡼⡝⠮⣑⠩⣒⠉⡖⢡⢊⡌⢣⠒⡬⡑⡜⢢⠜⡡⢎⡱⢌⠣⡜⢤⢋⠦⣙⢢⠱⡘⡤⡙⡌⢦⡉⢖⢡⠚⣄⠣⢌⠒⡌⢢⡙⣌⠻⡜⢧⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⠀⣏⠖⡩⠒⡌⣒⠡⡍⡔⢣⠒⡬⢡⠓⡴⠱⣌⠣⢎⡱⢊⡴⢋⠵⡘⢦⡉⡖⣡⢎⡱⢅⣣⠱⡘⢆⠭⣘⠢⡍⢤⠓⡬⡑⢬⠡⡜⢤⠓⡼⡑⢦⠌⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠈⢠⠘⡔⠬⣁⠳⠰⡌⡱⢢⠍⢦⡙⡔⢣⡙⡔⣣⢌⠳⣘⡔⢫⠔⣩⠒⣍⠦⣑⡚⡔⢪⠔⡣⢆⠭⡱⢊⢖⡡⢓⡜⠢⡍⠴⡑⣊⠦⣉⠦⡙⡴⣙⠎⡵⣂⠀⢄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⡄⢃⡚⢄⡓⠤⢋⠲⣁⠳⣌⠚⡤⢓⡌⢧⡘⢦⡑⢎⡱⢆⢎⡱⢊⡥⢋⡔⢣⡜⠴⣉⠖⣩⠒⣍⠲⣉⠇⡎⠴⢣⠜⡱⣌⠳⡘⡔⢢⡑⢎⡱⡚⡴⢋⡶⣩⠞⡤⠳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢀⡰⢌⠣⡜⢢⠜⣡⠋⢖⡡⢓⡌⡣⢕⠣⡜⢢⡙⢦⡙⢦⠱⢎⢦⢣⣍⠲⣍⠼⣡⢎⠳⡜⡬⢥⢫⠴⣉⠦⣙⡌⢇⣣⢚⡱⢌⠣⡕⢪⠱⣘⠬⣱⢣⡝⣣⠞⣥⠻⡴⣁⠱⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠊⢀⠦⣑⢎⡱⢌⢣⠚⡤⢋⠦⡙⢦⠱⣉⢎⡕⡪⢵⡘⢦⡙⢦⠛⡜⢦⢣⠎⡵⣊⠵⣊⡜⡣⢧⡙⢦⢋⠶⣉⢮⠱⣌⠳⣤⢣⡜⣌⠳⣌⢣⠓⣬⢣⢓⠮⣜⣥⠻⣜⡽⣱⢣⢣⡘⡄⠀⠀⠀ ⠀⠀⠀⠀⢀⠈⢠⢚⢤⣋⠼⣡⠞⣌⢲⠡⠞⣤⢓⢬⡒⣍⠞⣡⠳⣌⠳⣌⠳⡜⣲⢱⢪⢜⠲⢥⠛⣔⠫⣕⢣⠎⡵⣊⠞⣔⢫⡜⢦⡙⢦⡍⣎⡱⣙⢦⡙⣎⠶⣉⢎⡞⣴⢫⡝⡶⣹⢵⣫⢞⡮⣅⠑⡀⠀⠀ ⠀⠀⠀⢀⠆⢠⢃⣏⠲⣌⠳⡜⡼⣘⠦⢫⡹⢤⣋⢦⠳⡬⣙⢆⡛⡴⢋⡬⢳⡱⢎⠲⡡⠎⠙⠬⠙⠈⠑⠈⠂⠙⠐⠉⠘⠌⠦⠙⠦⢙⠦⣙⢦⠳⣍⢶⡹⡜⢮⡱⣏⠾⣜⢧⡻⣜⢧⡻⣜⢯⡖⣧⢆⢱⠀⠀ ⠀⠀⠀⡜⠀⡎⡞⡴⢫⡜⣣⠳⡜⣆⢏⡣⣕⢣⠞⣬⢳⡱⣍⢮⠱⠍⠓⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠋⠲⠹⣝⢣⡟⣼⢻⡜⣧⢻⡼⣳⢽⡹⣮⢽⡺⡜⡄⠅⠀ ⠀⠀⢀⠇⡸⣜⡱⣭⠳⡜⣥⠳⣍⠶⣩⠖⣭⢚⡜⢦⢣⠓⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢎⡷⣹⢞⣧⢻⡵⣫⢷⣫⡗⣯⡝⣆⠸⡀ ⠀⠀⠈⣐⠳⣌⡳⣜⣣⠟⣴⡛⣬⡓⢧⡛⢦⣛⠼⠓⠁⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡠⠉⠳⣏⣞⢯⢾⡝⣧⢷⣫⣗⣻⡼⡀⢃ ⠀⢸⠀⢮⡝⢮⠵⣓⢮⡝⡶⣙⢶⣩⠧⣏⡷⠉⢀⡀⠀⣙⣿⣿⣿⡿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢿⣿⣿⣿⣃⠀⣀⠈⢞⣯⡳⢿⣹⡞⣧⢯⣳⣝⢧⠐ ⠀⢸⠈⣞⡼⣫⢽⡹⣞⡼⢳⡹⣎⢧⣻⠌⠀⠀⠀⢻⣿⡿⠿⢻⠛⠀⠈⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠃⠀⠙⠿⠻⣿⣿⠋⠀⠀⠸⣛⣯⢷⣻⣭⣟⣳⡞⣧⠘ ⠀⢸⠀⣾⡱⣏⢾⣱⢏⣞⡳⣝⢮⣳⠁⠀⠀⠀⠀⣸⣿⣧⣀⠼⣦⡀⣤⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣆⡠⣴⠳⣀⣾⣿⡆⠀⠀⠀⠘⣽⣞⣳⡽⣞⣷⢻⡖⢸ ⠀⢸⢠⢳⡝⣾⡹⣎⠿⣼⡹⣎⠷⡏⠀⠀⠀⠀⠀⣿⣿⣿⠂⠀⢹⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣇⠁⢉⣿⣿⡧⠀⠀⠀⠀⣻⣼⣳⢿⡽⣞⡿⡼⢸ ⠀⢸⠀⢿⡼⣳⡽⣫⡟⣵⢯⡝⡿⠀⠀⠀⠀⠀⠀⠘⢿⣿⣧⣶⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢿⣿⣿⣶⣾⣿⠿⠁⠀⠀⠀⠀⠘⣧⣟⣯⢿⣽⡳⡏⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠙⡆⢰⡵⣖⡢⢀⡀⢀⡀ ⠀⠀⠀⠀⠀⢀⡀⣤⣤⡀⠀⡜⠀⠀⠀⣀⣠⣇⣘⠁⠩⠇⢼⢾⡿⡇ ⠠⣲⢪⢭⡇⢹⣽⠯⠯⠇⢰⠃⠀⢠⠎⠁⠀⠀⠈⢳⠀⠀⠀⠀⠉⠀ ⠀⠻⠈⠁⠚⠀⠀⠀⣠⠔⠚⠁⠀⢸⡀⠀⠀⣠⠀⢸⠀⡤⢄⢀⡀⠀ ⠀⠀⠀⠀⠀⢄⢠⠞⠀⠀⢀⣀⣀⣀⠉⠒⠋⠁⠀⠣⡀⠣⣈⡰⠃⠀ ⠀⠀⠀⠀⢀⡞⠛⡖⢢⢪⣧⠀⠀⠀⠈⠑⠢⡀⠀⠀⢱⠀⠀⠀⠀⠀ ⠀⠀⠀⡔⡡⡕⠒⠁⠈⣞⣋⡀⠖⠄⠀⣰⣷⠘⡀⠀⠀⠇⠀⠀⠀⠀ ⠀⠀⠀⡅⠁⠡⢄⠐⠭⠊⠙⢿⡉⣩⠱⠌⠁⠀⢣⠀⠈⡆⠀⠀⠀⠀ ⠀⠀⠀⢇⣀⢌⣈⠤⢀⡠⡤⢼⠬⣄⣁⣛⣀⣀⠜⠀⣀⠇⠰⢆⡠⡀ ⢀⢀⠖⡆⢇⠀⠀⠀⠀⠈⡢⠄⠤⠑⠒⢯⣉⠉⠉⠉⠁⠀⠘⠬⠔⠃ ⠙⠂⠚⠁⠀⠉⠉⠉⠉⣏⢣⣀⡖⠀⢀⠼⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
૮₍˶ •. • ⑅₎ა ♡st☆rgirl𝓱𝓮𝓵𝓵𝓸 𝓴𝓲𝓽𝓽𝔂
⣻⢭⡻⣭⢏⡯⣽⡹⢿⣿⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⠁⠄⡠⢀⠄⡰⢀⢂⠰⢀⠰⠀⠆⡐⠄⠢⡀⠆⡐⠄⢂⠄⣂⠐⡄⠠⣿⣿⣿⡿⣟⣿⣻⢿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣷⣿⣾⣿⣾⣷⣽⣧⣿⣿⣿⣷⣿⢿⣯⣿⣟⣷⡿⣟⣿⣾⣟⣾⣿⣽⣏⠀⠒⡀⢂⠂⠔⢠⠂⠤⢁⠢⢁⠆⠰⠈⡔⢠⠂⠤⢁⠆⠰⢀⠂⡐⠀⣿⣿⢯⣟⡽⡾⣽⢯⣿⣿⣿⣿⡿⣿⡽⣯⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⡉⢉⠈⡉⢉⠉⠛⠻⢿⣿⣿ ⣿⢸⡽⣺⡝⣯⣻⢯⣿⣿⣿⣿⢿⣿⡿⣯⣷⡿⣯⣿⢿⣻⣾⣟⣿⣾⣿⡇⢘⠠⠘⠠⢈⠰⠀⢌⠐⡠⠂⠤⢈⠄⡡⠐⠠⢈⠔⠠⠈⢄⠡⢂⠁⡂⢿⣿⣻⢞⣽⣻⣭⣟⣿⣿⣿⣿⣿⣿⡽⣯⢿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⡠⠈⠤⢁⠰⢀⠂⡁⠂⠌⠠⡁⠤⢈⠙ ⣯⠾⣽⢳⣽⢳⣭⢟⣮⢟⣿⣿⣟⣿⣿⣟⣷⡿⣿⣽⡿⣿⣽⣾⣿⣳⣿⡇⠠⢂⠉⠔⠂⢄⠃⡄⢂⠄⠡⠒⡀⢂⠄⡑⢂⠡⢈⠂⡉⠄⠒⠠⠁⡄⣻⣿⣽⣛⣮⢷⣛⡾⣿⣿⣿⣿⣷⣿⣻⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠄⣈⠒⡀⡁⠊⠄⠢⠀⠅⢂⠡⢈⠡⠐⡠⠂⠂ ⣗⣻⡵⣻⡼⣫⣞⡽⢮⣻⠼⣿⣟⣾⣿⣿⡽⣿⣻⣽⡿⣯⣷⣿⣻⣽⣿⡇⠐⠡⣈⠂⡉⠄⢂⠰⢀⠊⠤⢁⠐⠂⠔⠠⠂⠔⠂⢌⠐⡈⠌⠄⠡⡀⣽⣿⢾⡽⣞⣯⠿⣽⣻⣿⣿⣿⣯⣿⢷⢯⣟⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠠⠄⢃⡐⡀⢂⠐⠠⠁⠌⡐⠉⠤⠁⠌⡀⠆⠡⠄⢡⠈ ⢯⢾⣱⢯⣳⢽⣺⡝⣯⣳⢻⣽⣿⣯⣿⣟⣿⢿⣽⣷⢿⣟⣷⣿⣻⣽⣿⡇⢘⠠⢀⠂⡡⢈⠄⠒⠠⡁⢂⠌⡈⠤⠉⠄⡡⠘⣀⠊⡐⢈⠰⢈⠡⠀⢾⣿⣯⣟⡽⣞⡿⣳⣿⣿⣿⣿⣿⡿⣯⣟⣾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⠟⢀⠂⢡⠈⠤⠐⡀⢂⠌⠡⢉⡐⠈⢌⠠⠉⡄⠡⠘⠠⡁⠢⠐ ⣯⢟⣮⠿⣜⣯⢞⣽⢣⡿⣹⣾⢿⣯⣿⣿⢯⣿⣟⣾⢿⣯⣿⢾⣿⡽⣿⣧⠐⡐⠠⠒⡀⠆⠨⠘⠠⢁⠂⠔⡈⠄⠃⡌⠠⢁⠄⠢⢐⠈⡰⢀⠂⡁⢾⣿⣿⡾⣝⣻⡼⣷⣿⣿⣿⣿⣿⣟⡷⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⡟⠃⢠⠂⡘⠠⠈⠄⠡⠐⣀⠊⠄⡡⠀⡅⠢⠐⡡⠠⢁⠊⠄⣁⠢⠁ ⣟⣾⣱⢿⡹⣎⣟⢮⡟⣼⣳⣿⣻⣿⣿⣻⣿⣻⣾⣟⣯⣷⢿⣯⣷⣿⣿⣷⠀⡄⠃⠔⡐⢈⠐⠡⠘⠠⠌⠰⠀⠎⠡⢀⠑⠂⠌⡰⠈⠄⣁⠂⡐⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠃⠄⠒⠠⠁⠌⡐⠡⠌⠠⢈⠔⠠⢁⠤⢁⠒⠠⢁⠢⠁⠌⣀⠂⡅ ⣟⢶⡻⣎⢿⣱⡞⣯⣽⣷⣿⡷⣿⣿⣿⣽⡷⣿⣳⣿⣻⢾⣿⣽⡾⣿⣾⣿⡇⠠⠑⡀⠂⠄⠃⠌⢂⠡⢈⠂⢡⠈⠔⡈⠄⡡⠂⠄⡑⠐⣀⠂⠤⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠠⢉⠈⠄⠃⢄⠑⡐⢈⡐⢈⡐⠤⢈⡐⢂⠐⡠⠈⠔⠂⠄⣉⠐⡀⢂⠰ ⡟⣞⢷⣫⠿⣼⣹⣶⣿⢿⣽⣾⣿⣿⣟⣷⣿⣻⣽⣷⣯⣿⡿⣞⣿⢿⣽⣿⣧⠂⡡⠐⡉⠄⡡⢈⠐⠄⠂⠌⠠⢈⡐⠠⠒⠠⢁⠊⠄⡡⠄⢂⠰⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠏⠀⡌⠰⠠⠈⡄⠉⠄⠂⠌⠠⠐⠠⠐⡐⠠⠐⠠⢁⠐⡁⢊⠌⡐⢀⠂⡐⠠⣼ ⣿⡿⣿⢿⣟⣿⣟⡿⣽⣿⣿⣿⣿⣯⣿⣻⣾⢯⣷⣿⣳⣿⢿⣻⣯⣿⣻⢾⣿⣄⠁⢂⠐⠠⣐⣠⣌⣠⡉⠄⣁⠂⠄⡡⠌⡐⠡⢈⡐⠠⠈⠄⠒⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠠⠡⠄⡁⢂⠡⡀⠅⡘⠈⢄⡁⢃⠁⡂⠔⠡⢁⡘⠠⠌⢠⠁⢂⠐⠄⠂⠄⣱⣿ ⣿⣽⣯⣿⣾⣿⣾⣿⣿⣿⣟⣿⡿⣾⢷⡿⣽⣿⣳⣿⣽⣿⣿⣿⡿⠿⠿⢿⣿⣿⠄⠂⣼⡾⠛⠉⠉⠉⠿⣿⡄⠐⡈⠐⣀⠂⡁⠂⠤⢁⠉⠄⡁⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠡⢀⠃⡐⢂⠐⡀⠆⠠⡁⡐⢁⢂⠐⡠⠘⠠⢈⠔⠂⠄⡁⢂⠂⢌⠠⠌⣀⠃⣰⣿⡿ ⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⢯⣿⡿⣽⣿⣻⣟⣾⣽⣟⣾⣿⡿⠋⠀⠀⠀⠀⠙⠻⣷⣾⠛⠀⠀⠀⠀⠀⠀⠸⣷⠈⠄⠃⠄⠂⠌⡁⠆⠄⢊⠐⠠⣿⠿⠿⠛⠛⠛⢉⠋⡉⢉⠉⢉⠉⢉⠉⡉⠙⣿⡟⠂⡐⢀⠒⠀⠆⡐⠤⠈⠄⡡⠐⠠⠂⠌⠠⠁⠆⡁⢂⠡⠌⠐⠂⠌⡀⠆⡐⠠⣰⣿⡿⣽ ⣿⣿⢿⣻⣿⡿⣿⣟⣿⣿⣼⣿⢿⡿⣼⣟⣿⣼⣻⣟⣿⣿⠃⠀⠀⠀⠀⣀⣸⣤⣟⣀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢃⠘⡘⠄⠃⠄⠠⠘⢄⠠⠘⠠⠀⠄⠠⠘⡀⢃⠄⡠⠀⠇⡘⢀⡘⠀⠄⡀⢻⡿⠀⠠⡘⢀⠘⠄⠤⠀⠄⢃⠄⡀⢃⠄⢃⠘⢃⠘⠄⠠⠄⠠⠘⠸⠘⠠⠀⢄⠠⣸⣿⣿⣻⢧ ⣿⣯⡿⣿⣽⢽⣿⣽⣳⣟⣾⣿⣻⣟⡿⣾⣻⣞⣿⡽⣿⣿⣀⠀⠀⣠⣿⠛⠉⡈⢩⡻⣷⡀⠀⠀⠀⠀⣠⡿⠃⠠⠒⠠⠈⠌⡐⡁⠊⠄⢂⠁⠆⡁⢊⠁⢂⢁⠂⡐⠠⠑⢂⠘⠠⠠⢁⠂⠴⣿⠃⡈⢂⠐⠂⠌⡐⠠⢉⠐⡈⠄⡰⢈⠐⡈⠄⡡⢈⠂⡡⢈⠡⠘⠠⡁⠡⠃⡀⣶⣿⣿⣷⣿⣿ ⣿⣳⣿⣟⣾⣻⣿⣞⣿⢯⣿⣾⣻⢾⡿⣽⣷⣻⣿⣽⣿⣿⣿⠄⢰⡟⠁⢀⠂⠠⢀⠀⣿⡇⠀⣤⣴⠾⢋⠡⢈⠡⠘⠠⢁⠒⠠⠐⠡⡈⡐⢈⡐⠐⢂⠘⡀⢂⠐⡠⠃⡈⠄⡘⠠⢁⠂⠌⠠⢁⠂⡐⡈⠌⡈⢐⠠⢁⠂⠒⡀⠒⡀⢂⠂⡐⠂⠔⠠⢁⡐⢂⡁⢊⠄⡁⢂⢡⣼⣿⣿⣿⣛⡾⣼ ⣿⢯⣷⢿⣧⣿⣷⣻⣾⣻⣯⣷⢿⣻⣽⣟⣾⣯⣷⣿⠋⠁⠀⠀⢸⣯⢄⡠⠄⠁⢠⢨⡿⠀⠀⠙⣿⡤⠂⠤⢁⠂⡁⢂⠡⠈⡄⢉⡐⠠⠐⠡⢀⠡⠂⠌⠠⢁⠂⢡⠐⠠⠁⠤⢁⠂⠌⠌⠰⠀⠆⡐⠄⢂⠁⠢⠐⡈⠤⢁⠰⠁⠌⡀⠆⠌⡐⠌⢠⠁⠰⠠⠐⢂⠐⡈⣤⣿⣿⣟⡟⣶⢏⡷⡽ ⣿⣟⣯⣿⣼⡿⣾⡽⣿⣽⡿⣞⡿⣽⣞⡿⣞⣯⣿⠃⠀⠀⠀⠀⠀⠻⢷⣭⣧⣥⡾⠟⠁⠀⠀⠀⠘⣿⣀⠒⡀⠆⠐⡀⢂⠡⠐⠂⠄⡡⠘⠠⢁⠂⢡⠘⡀⢂⠌⠠⠌⡀⢃⠐⠠⢈⠐⠌⡠⠁⠆⡐⠈⡄⠌⡐⠡⠐⡀⠆⢠⠁⠢⠐⣈⠐⠠⠌⠠⠌⣁⢂⠡⡈⢐⣼⣿⣟⡷⣺⠽⣞⢯⡞⣽ ⣿⢾⣽⠾⣽⣿⣳⣿⢷⣿⣽⣻⣽⣟⣾⣻⣽⣻⣿⡀⠀⠀⠀⠀⠀⠀⠀⣄⡡⠁⠀⠀⠀⠀⠀⠀⢀⣿⢙⠠⠐⡈⠐⡀⢂⠐⠠⢁⠂⠄⡁⢂⠡⠈⠄⠂⠄⡁⢂⠁⢂⠐⠠⢈⠐⠠⢈⠐⠠⢁⠂⠄⡡⠐⠠⠠⢁⠂⡐⠈⠄⡈⢁⠂⠄⠌⡐⢈⠰⠀⠄⠂⢄⣰⣿⣿⣟⡮⢷⣏⡟⣮⢗⣻⢼ ⣿⣻⣞⡯⣟⡷⣯⣿⢾⣟⣾⣽⣳⣯⢷⡿⣽⣷⣻⣷⣄⠀⠀⢀⣠⣴⡾⠟⢻⣧⣢⠀⠀⠀⠀⣀⣾⠋⠀⢄⣡⣀⣡⠐⡠⢈⠐⠠⢈⠐⡀⠂⠄⠡⠌⡐⢈⠐⠠⠈⠄⡈⠔⠠⢈⠰⢀⠁⢂⠄⠨⠐⡀⢁⠂⡁⢂⠐⡈⠄⠡⠐⠠⢈⠐⡐⠠⢁⠂⠌⠐⢨⣼⣿⣿⣿⢳⣏⠿⣼⡹⣎⡟⣮⢳ ⣿⣳⣯⢷⣻⣟⡷⣟⣾⣿⣳⢯⣷⢯⡿⣽⣳⣯⣿⣿⣿⣿⣿⠛⠋⡁⠠⠐⣀⠨⢝⠛⠿⠾⠛⢋⣥⣶⣿⣿⢿⡿⣟⣿⣷⣶⣬⡰⠀⠂⠄⠡⢈⠐⠠⠐⠂⠌⠠⢁⠒⠠⢈⠐⡀⠂⠄⢊⠀⢂⠁⠂⠔⡀⢂⠐⡀⠆⠐⡈⠄⡁⠒⠠⠁⠄⡁⢂⠐⣈⣼⣿⡿⣟⣾⣿⡹⣎⡿⣱⢏⡷⣹⣭⣛ ⣿⣳⡟⣾⣻⢾⣽⣯⡿⣾⣽⣻⢾⣻⣽⣻⡽⣷⣿⣻⣿⠋⢀⡐⠐⢠⠁⢂⠄⠠⠀⠌⡐⣠⣽⣾⣿⠿⣽⣞⣯⢿⡽⣾⡽⢯⡿⣿⣿⣦⣅⠂⠡⢈⠄⠡⠈⠄⡁⠂⠌⡐⢀⠢⠀⠅⡈⠄⠨⠀⠌⡐⠂⡐⠀⠆⡐⢈⠐⡀⠂⠄⡡⠈⠤⠁⡐⠠⣰⣿⡿⢯⣽⣻⢾⣿⣹⢧⡻⣝⣮⣝⡳⢮⣝ ⣿⣳⣏⡿⣽⣻⢾⡵⣿⣳⢯⣟⣯⣟⡾⣷⣻⣯⣿⡟⠁⡐⢠⠀⠅⢂⠈⠄⡈⢄⠁⣶⣾⣿⣟⡿⣺⣟⣳⣟⡾⢯⣽⣳⢟⣯⡟⣷⣫⢿⣿⣿⣥⡀⠂⠤⠁⠂⠄⡁⢂⠐⢂⠠⠁⠌⡐⠈⠄⣁⠂⠄⠡⢀⡁⢂⠐⡀⠂⢄⠡⠈⠄⡁⢂⢡⣴⠿⢻⣿⣿⣛⡾⣽⣻⣿⡞⣧⢟⡼⢶⣭⣛⠷⣎ ⣿⣳⢽⣻⡽⣯⣟⡾⣷⣻⢯⣟⣾⣽⣻⢷⣿⣿⠋⠄⠒⢀⠂⠌⡐⠠⠈⠄⢠⣶⣿⣿⣻⢞⡾⣽⣳⢯⡷⡾⣽⣻⢾⣭⣟⡾⣽⣳⢯⣟⡶⢯⣟⣿⣧⡔⡈⢁⡐⢀⠂⠌⡀⢂⠁⢂⠄⡁⠂⠄⡈⠄⡁⠂⠄⠂⠄⠡⠈⠄⠠⢁⢂⠐⡀⠛⡉⠐⡀⢻⣿⣯⡽⣞⣷⣻⣯⡳⢯⡝⡷⢮⣝⡻⣼ ⣿⣭⣟⣷⣻⢷⡯⣟⡷⣯⢿⡽⣞⡷⣯⣿⡿⠃⡐⢈⠐⠠⠈⠄⠠⢁⢂⣼⣿⣿⢻⣼⣏⣿⣽⣾⣷⠿⠷⠿⠷⠿⢷⠿⣾⣽⣷⣯⣟⡾⣽⣻⢾⣹⣟⣿⣿⣤⡀⢂⠈⠄⡐⠠⠈⠄⠂⠄⡉⠐⡀⢂⠡⠈⠄⠡⠈⡄⠡⢈⠐⡀⢂⠐⠠⠁⠄⠡⠐⡀⢻⣿⣿⣷⣯⣷⣿⣿⡳⢯⡽⣣⣏⢷⣣ ⣿⢶⣻⢾⡽⣯⢿⣽⣻⡽⣯⣟⣯⢿⣻⡿⠁⠆⠐⡀⠊⠄⠡⢈⢐⣼⣿⣿⣻⡾⠿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⢷⣯⣷⣞⣷⢻⡿⣿⣄⡈⠄⡐⠠⠁⠌⢂⠒⠠⢁⠐⡀⢂⠡⢈⠐⠡⠐⡀⢂⠐⡀⠂⠌⠠⢁⠘⠠⢁⠐⡀⢿⣿⣿⣿⣿⢯⡿⣿⣷⣝⣳⢮⣳⢭ ⣿⣫⣟⣯⢿⣽⣻⣞⣷⣻⢷⣻⣞⣿⡿⠡⠈⠄⠡⠠⢁⠘⢀⣼⣿⣿⡿⠏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣾⣯⣿⡽⣿⣷⣆⠀⠡⢈⠐⠠⢈⠐⡀⢂⠐⠄⠂⠄⠌⠠⢁⠐⡀⠂⠄⢡⠈⡐⠈⠄⡁⢂⠐⠠⠘⣿⣿⣿⣿⣯⢿⣽⣻⢿⣷⣯⣞⢧ ⣟⣷⣻⣞⡿⣞⣷⣻⢾⡽⣯⢷⣯⣿⠁⠆⠁⠌⠠⢁⠂⣨⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢿⣷⣿⣿⣷⢀⠂⠌⢀⠂⡐⠠⢈⠐⡈⠐⡈⠄⡁⢂⠐⠠⢉⠐⡀⠂⠄⣁⠂⠔⡈⠄⡁⠂⢹⣿⣿⣿⣟⣞⣳⣽⢻⡾⣽⣻⣿ ⡿⣞⡷⣯⢿⡽⣾⡽⣯⣟⣽⣻⣾⢇⠂⠄⠡⢈⠐⢠⣾⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣂⠈⠄⠂⠄⢁⠂⡐⠠⠁⠄⢂⠐⠠⢈⠐⡀⠂⠄⡁⠂⠄⢂⠐⡀⠂⠄⠡⠀⣿⣿⣿⣿⣿⣳⣞⣯⣽⣻⢷⣿ ⣿⣯⣿⣽⣯⣿⣷⣟⣳⡟⣾⣻⡏⠨⢀⠌⡐⠠⢸⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣆⠐⠁⡈⠠⠐⢀⠡⢈⠐⠠⢈⠐⡀⠂⠄⡁⠂⠄⠡⠈⠄⠂⠄⠡⠈⠄⢁⢸⣿⣿⣿⣿⣿⣿⣾⣷⢯⣿⣿ ⣿⣻⢿⣿⡿⣿⢿⣯⢷⣻⢷⣿⠡⢊⠠⠀⠄⣼⣿⣿⡏⠀⢀⣴⣶⣾⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣯⡀⠡⠐⢈⠀⠂⠄⡈⠐⡀⠂⠄⡁⠂⠄⠡⠈⠄⡁⢂⠡⠈⠄⡁⠂⠌⠠⣿⣿⣿⣿⣟⣿⣽⡿⣿⣿⣿ ⣷⢯⡿⣽⣻⣽⣻⢞⣯⢿⣻⡏⡄⠄⠂⢐⣼⡿⣿⡏⠀⠀⣿⡿⠟⠉⠉⠙⠻⢿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄⠈⠄⡈⠐⠠⢀⠡⢀⠁⠂⠄⠡⠈⠄⡁⢂⠐⠠⢀⠡⠂⠠⢁⠈⠄⢹⣿⣿⡻⣟⣿⣿⣿⣿⣿⣾ ⣯⢿⣽⣳⣟⡶⣯⣟⡾⣯⣿⠇⠇⣀⠃⣼⣿⡽⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠁⠀⠀⠀⢀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣧⠐⠀⡁⠂⠄⠂⠄⢊⠐⡈⠄⡁⢂⠐⡀⠌⠐⡀⢂⠁⢂⠐⠠⢈⠘⣿⣷⢻⡽⣿⣻⣿⡽⣯⢿ ⣟⡿⣮⢷⡾⣽⣳⢯⣟⡷⣿⠁⡂⠀⣼⣿⢧⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣬⣽⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣷⣶⣾⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠹⣿⣏⡐⠠⠈⠐⠈⡐⠀⠂⠄⠂⡐⠀⠂⠄⡈⠐⡀⠂⠌⠠⢈⠐⠠⠈⣿⣿⣯⣿⣿⣿⣿⣟⣿⣻ ⣿⣽⣳⢯⣟⡷⣽⢯⣾⣽⣿⠀⡀⢿⡿⣿⡾⣽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠙⠻⢿⣿⣦⡀⠀⠀⠀⠀⠀⢹⣿⣷⣀⠡⢈⠐⠀⠡⢈⠐⠠⢀⠡⢈⠐⠠⠁⠄⠡⢈⠐⠠⠈⠄⠂⣹⣿⣟⣯⣿⣽⣷⣿⣿⣿ ⣿⣾⣽⣿⡾⣽⢯⡿⣷⣻⣿⠄⢐⣿⣃⠿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣧⡀⠀⠀⠀⠀⠀⢿⣿⣿⣔⠀⠄⢁⠂⠄⡈⠐⡀⠂⠄⡈⠐⡈⠐⡀⠂⠌⠠⢁⠂⠐⢸⣿⡿⣽⣾⢿⣽⣾⣟⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡆⢼⡟⣌⠲⡹⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⡿⠁⠀⠀⠀⠀⠀⢹⣯⣟⣿⡧⢈⠀⡐⠠⢀⠡⢀⠁⠂⠄⠡⢀⠡⢀⠡⢈⠐⠠⢀⠡⠐⣿⣿⢯⣿⣟⣿⣾⣻⣽ ⣿⣿⣿⣷⣿⣯⣿⡿⣽⡷⣿⣿⣾⡏⡔⢣⡑⡚⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣟⣼⣿⡆⠐⠠⢁⠀⠂⠄⠊⡐⢈⠐⡀⠂⠄⠂⠤⢈⠂⢀⠂⢘⣿⣿⣻⣿⣾⣿⣽⣿⣻ ⣿⣿⣷⣿⣿⢯⣷⣻⢯⡿⣽⡻⣿⡗⣌⠣⡜⣑⠺⣿⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢶⣤⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣟⣮⢿⣿⡀⠅⠠⢈⠐⢈⠐⡀⢂⠐⠠⠁⠌⡐⢀⠂⠌⢀⠂⣼⣿⣿⣿⣷⣿⣿⣿⣿⣿ ⣿⣾⢳⣿⡞⣯⣷⣿⢻⣿⣷⢻⣽⣿⣦⠓⡜⣤⠓⡌⢻⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣯⡞⣽⣿⡇⢠⠁⠂⠈⡄⠂⠐⢠⠈⡄⠁⠂⠐⢠⠈⡄⢠⠀⣿⣿⣿⣿⣿⡟⣿⢻⣿⣿ ⣿⣞⡿⣾⣽⣻⢾⣽⣻⣾⢿⣷⣿⣿⢿⣶⡱⢌⠲⣉⢎⡹⢿⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡿⣟⣼⢻⣼⣇⠃⠤⢈⠐⢀⠈⠄⠂⠐⠀⠡⢈⠠⢀⠢⠐⢀⣾⣿⣿⣿⣿⡿⣽⣻⡿⣾⣻ ⣿⣽⣻⢷⣯⣟⣯⣟⡷⣯⢷⣿⣿⠃⠀⠻⣿⣾⡱⢌⠦⣑⠣⢛⠿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⢫⣞⡽⢾⣏⠂⠐⡀⠈⠄⣈⣤⣾⠿⠛⠛⠛⠛⠛⠿⣶⣿⣿⣿⣟⣿⣿⣿⣻⢷⣿⣻⣽ ⣿⢾⣽⣻⢾⡽⣾⣹⢯⡽⢯⣿⣿⠀⠀⠀⠘⠿⣷⡾⡰⢡⡙⣌⠳⣉⠿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⣝⢯⡞⣽⣿⠃⠨⢀⣰⣴⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣻⣿⣿⣷⣻⣯⣷⢿⣻ ⣿⣻⢾⣽⣳⣟⣳⢯⡿⣽⢳⣻⢿⡆⠀⠀⠀⠀⠘⠻⢿⣦⠵⡨⠱⣌⢚⠲⣙⢻⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⣽⣛⣮⢿⣿⠃⢤⣱⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣷⣻⢷⣻⣿⣻ ⣿⣽⣻⢾⡵⣞⣯⢿⡽⣞⣯⢷⣻⢿⣄⠀⠀⠀⠀⠀⠀⠙⠿⣶⣓⠬⢆⠳⢌⠎⢦⡙⢛⠿⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣟⡳⣧⣿⣼⡟⢃⣼⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣿⣿⣿⣿⣯⣟⣯⡿⣞⣿ ⣿⢾⡽⣯⢿⡽⣾⢯⡿⣽⣞⣯⣗⣻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣮⣚⣌⠚⡴⣈⢇⡚⢤⢩⡙⣛⡻⠷⣶⣦⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣯⣾⡿⣿⡿⠋⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⡷⣯⣷⢿⣻⣽ ⣿⢯⡿⣽⣳⠿⣭⣟⣾⡳⢯⣞⡧⣿⡽⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠳⣯⣴⣌⠦⣙⢂⠣⡜⠤⣣⣾⠟⢡⢋⢿⣯⣛⡹⣛⠿⠿⢶⢶⡶⢶⡶⢶⠶⡶⢶⠶⡶⠾⠟⣟⡛⢫⢍⣱⣶⠟⠉⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣷⣿⣿⣟⡷⣯⡿⣿⣽ ⡿⣯⢟⡷⣯⣟⡿⣞⣷⣻⣟⣾⡻⣷⣻⣳⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠙⠛⠷⢾⣷⡼⠿⢋⣡⡾⠟⠛⠛⠻⣷⣶⣡⠚⡔⢣⢢⡙⠴⣘⢢⠓⡜⢢⡙⣌⢣⡙⢤⣪⣵⠿⠋⢀⣤⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣾⣿⣿⡾⣽⣻⣽⣷⣻ ⣿⡽⣯⢿⣼⣳⢿⣹⣞⣧⣟⣾⣹⣟⢷⡯⣟⣾⣻⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠠⠁⠂⢂⠐⠀⠆⢠⡿⠀⠀⠀⠀⠀⠘⣯⠛⣷⣬⣃⠦⣙⢢⡑⢎⡙⠬⡱⣘⣰⣦⡿⣟⣩⣴⡶⢿⡿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣟⣾⣿⡿⣿⣽⣳⣯⢿⡾⣽ ⡿⣽⣳⣟⣮⡽⣯⢷⣻⡼⣞⣧⢻⣞⣯⣽⢻⣞⡷⣯⢿⡿⣷⣦⣄⡀⠀⠀⠀⢸⡇⠠⠁⠌⢀⠐⠈⡐⠈⣿⣄⠀⠀⠀⠀⣸⡟⠀⡀⠉⠛⢷⣮⣤⣍⣦⣭⣶⣷⠿⠿⠛⠛⠉⠉⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⢿⣟⣿⣿⣿⣷⣻⣞⡿⣿⣽ ⣿⣳⢟⣞⣧⢿⣽⣳⢯⣽⣳⣏⡿⣼⣳⣞⣿⣼⣻⡽⣾⣝⣯⣿⣿⠛⡷⣶⣤⣸⡇⠐⠈⠄⠂⠄⡁⠄⠐⠈⠛⢶⣦⡴⠾⠋⠐⡀⠄⠡⢈⠠⠀⠉⡉⠉⠉⠄⢀⠂⠠⠁⠂⡁⠌⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⡿⣟⣾⣿⡿⣿⣻⣿⡿⣿⣞⡷⣯⣟⣷⣻ ⣷⡹⣞⠾⣜⡳⣞⡼⣳⢮⡗⣮⢵⣳⢳⡞⣶⢧⡷⡽⢶⣹⣾⣿⠃⣇⠲⢡⢩⢹⣿⠀⡁⠐⡀⠂⠄⠂⢈⠰⢠⣶⠶⠶⢶⣤⠂⠠⢀⠁⠠⠀⠂⢁⠐⠈⠠⢈⠠⢀⠡⠀⡁⢰⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⡿⣿⣽⣿⣽⣿⣻⣿⣿⣿⣿⣿⣿⣿⣽⣻⢷⣯⡿⣽ ⣷⡹⣎⡟⣜⡳⣝⡺⣕⢯⣞⣱⢏⣞⣳⡝⣧⣻⢼⣹⢏⣷⣿⠇⡽⢠⢃⠇⡎⡔⣿⡆⠀⠡⠐⠈⢀⠂⡀⣲⡟⠀⠀⠀⠀⠹⣿⠀⠂⠌⠀⡁⢈⠀⠄⠁⠂⢀⠂⢠⢄⣁⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣤⡶⠟⢹⣿⣻⣛⠷⣯⣻⣝⣯⣛⣧⣻⣜⣳⣮⣳⣽⣶⣛⣾⣳⣻⣳
⠀⠀⠀⠀⢀⡤⠶⠶⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠋⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠶⢤⡀⠀ ⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⢻⠀ ⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⣸⠀ ⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀ ⠀⠀⠸⡆⠀⠀⠀⢀⣀⣀⡀⠀⣧⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀ ⠀⠀⠀⢻⠖⠒⢶⡉⠀⠀⠹⣄⣯⠤⠤⠤⠤⠼⡇⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀ ⠀⠀⠀⢺⡀⠀⡶⠛⣲⠀⠚⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀ ⠀⠀⠀⣸⡟⠀⠉⢹⣅⣀⣀⠼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣄⠀⠀⠀⠀⠀ ⠀⠀⣰⠛⠦⠤⠖⠋⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀ ⠀⢀⡇⠀⠀⠀⠀⠀⣀⡤⠖⠚⠉⠉⠀⠀⠀⠀⠉⠉⠙⠲⢤⡀⠀⠀⢸⡄⠀⠀⠀ ⠀⣸⡇⠀⠀⠀⣠⠞⠁⣰⡞⠒⢦⠀⠀⠀⠀⠀⠀⢀⡴⠒⢦⡝⢦⡀⠀⣇⠀⠀⠀ ⠀⢹⠁⠀⠀⡼⠁⠀⢸⡟⣷⣤⣾⠀⠀⠀⢀⡀⠀⢸⣷⣤⣾⡇⠀⢳⠀⢸⠀⠀⠀ ⢀⡼⠷⢤⣼⠃⠀⠀⠀⠻⠿⠟⠃⢀⣶⣤⣬⣥⣤⡀⠙⠻⠛⠁⠀⢸⣆⣟⡀⠀⠀ ⡏⠀⠀⠀⠙⣇⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣶⣾⣿⡇⠀⠀⠀⠀⢀⡞⠁⠀⠈⢧⠀ ⣧⠀⠀⠀⠀⠀⠙⠦⡀⠀⠀⠀⠀⠀⠛⠿⠿⠿⠟⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⢸⠀ ⠈⠲⣄⠀⠀⠀⠀⠀⠈⢳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⠀⠀⠀⠀⠀⣠⠞⠀ ⠀⠀⠈⠢⣀⠀⠀⠀⠀⠀⢻⡻⣯⣿⡶⠂⠐⣶⣾⡿⣻⠃⠀⠀⠀⠀⡠⠊⠀⠀⠀ ⠀⠀⠀⠀⠈⠣⡀⠀⠀⠀⠀⢳⣠⠟⠁⠀⠀⠘⠦⣠⡏⠀⠀⢀⡴⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠢⡄⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠈⠐⡦⠖⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠋⠉⠁⠁⠀⠈⠉⠉⠛⠳⢦⣤⡀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢀⣀⣸⠀⠀⠀⠀ ⠀⣾⡋⢹⣷⣤⣤⣀⣀⢀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣼⡀⠈⠉⡿⠓⡀⠁⠀ ⠀⠈⠛⢻⣿⣻⡟⠛⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣈⣿⡷⠶⠛⠛⠋⠉⠉⠉⠉⠉⠙⠛⠳⢶⣄⡀⠁⠰⠦ ⠀⠀⠀⢸⣿⣿⠇⠠⠀⠹⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⣄⣴⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠉⠻⣦⡀⠀ ⠀⠀⠀⢸⣿⣿⣇⢈⣘⡀⡈⠿⣿⠿⣷⣦⣄⣀⠀⠀⠀⢰⡟⣉⡽⣿⡅⠀⠀⠀⠀⠀⠀⣀⡤⠔⠒⠊⠉⠉⠀⠀⠀⣉⣭⠐⠢⡈⠻⣆ ⠀⠀⠀⠀⣿⣿⣿⣶⣾⣤⣴⣴⣴⣠⣴⣿⣿⣿⠛⠛⣿⡿⢿⣯⣥⣼⠇⠀⠀⢀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠁⠀⠀⠈⠢⣹ ⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠸⠟⣿⣟⠉⠉⠉⠀⡠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠿⠶⠶⠶⢶⣏⣠⠇⢱ ⡄⠀⠀⠀⠀⠈⠛⠿⠿⢿⣿⣿⣿⢿⣿⢹⡿⣿⣷⣤⣠⣿⠉⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⣿⣄⠀⠀⠀⠀⠀⢀⣴⠟⠉⠘⠿⠀⢹⣬⣿⣿⠛⠛⢿⠇⠀⠀⣰⠃⢀⣀⣤⣤⣴⡦⠀⠀⠀⢈⣡⡶⠶⢶⣦⣀⣀⡀⠀⠀⠀⠀⠀⢀ ⠿⣿⣦⠀⠀⢀⣴⣿⡱⢾⠗⠀⠀⠀⢦⣿⣿⠇⠀⠀⢸⡆⠀⠀⡇⠚⠛⠋⢉⣽⠟⠁⠀⠀⢰⣿⣭⣄⣠⡿⠉⠀⠈⠙⢦⡀⠀⠀⠀⣸ ⠀⣽⣿⡆⣰⣿⠻⠟⠛⢶⣤⣶⣦⣿⣿⣿⡟⠀⠀⠀⣸⣇⠀⠘⡇⢀⡴⢶⡿⠋⠀⠀⠀⢀⡾⠋⠀⠈⢻⣇⠀⠀⠀⠀⠈⢿⡄⠀⣴⠏ ⠀⣿⢸⣿⣿⢹⡟⠒⣶⣾⡿⠿⠛⠋⠉⠉⠀⠀⠀⠀⠿⢻⣆⠀⢣⠘⠦⠞⠁⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⢿⠿⣧⡀ ⡀⣿⣾⣿⣿⣿⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⠇⠀⠀⠙⢷⣄⠳⡀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⢸⣧⡈⠻ ⣿⣿⣿⣿⣿⡟⠀⢀⣀⣠⣤⣄⠀⠀⠀⠀⠈⠋⠁⠀⠀⢀⣤⠀⠙⠳⣿⣶⣤⣀⡀⠀⣀⣿⠀⠀⠀⠀⠀⢠⡟⢷⡀⠀⠀⠀⠀⠙⢷⡀ ⣿⣿⣿⣿⣿⡇⠚⠛⠿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣠⡾⠃⣠⣴⠾⠛⠩⠭⢯⠛⠛⠛⣿⠀⠀⠀⠀⠀⢼⣧⠈⠻⠆⠀⠀⠀⠀⠀⣿ ⠉⠁⣿⣿⣿⣇⠀⠀⠀⠈⠻⣿⣿⡿⠀⠀⠘⠓⠚⠛⠉⢠⣾⠋⠁⣀⠤⢒⣋⡙⠆⠀⣀⣿⡀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⢻ ⠀⠀⠸⣿⣿⢿⡄⠀⠀⠀⠀⢀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⣳⣿⠾⠟⠻⣦⢀⣾⠿⠃⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⢻⣷⣿⣿⣄⠀⠀⡞⠁⢀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⠿⠋⠀⠀⠀⠀⢸⡟⢹⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾ ⠀⠀⠀⠀⠙⢿⣿⣿⣷⣄⣉⣩⣥⣶⣶⣶⣾⣿⣶⢶⣶⣶⠞⠁⠀⠀⠀⠀⠀⢀⡿⢀⡞⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇ ⢀⣤⣤⣄⣀⣀⠉⣙⣿⣿⣿⣿⣋⣿⣟⡈⢻⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⣀⣴⡟⠡⠞⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣼⣿⢟⣹⣷⠶⠶⠶⠶⠶⠶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣠⣴⠾⠛⠋⢉⣿⡟⢷⣾⡇⠿⣦⡀⠀⢀⠠⠐⢠⢀⡉⠛⠻⣶⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⢻⣿⢛⣿⢻⡶⣤⣸⣾⣯⣽⣾⣨⣿⠀⣿⣷⡄⠠⠀⠀⠂⡐⠌⡑⢢⢀⠉⠻⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⢾⣿⣴⣉⣧⣛⣼⣿⢿⣯⡋⢻⣱⣞⣦⢝⣿⡇⣤⣿⡄⠀⠈⠀⡀⠠⠈⠐⡈⠆⡁⠘⣿⡄ ⠀⠀⠀⠀⠀⣠⡾⠋⠁⠀⢹⣿⣏⡉⢧⣎⣻⡖⣿⡿⠟⠳⣭⣿⡼⠟⠛⣻⣾⠛⢷⣤⣂⠀⢀⠁⠈⠀⠐⠐⠱⣸⡇ ⠀⠀⠀⢀⡼⠏⡀⠐⠈⠀⠀⣾⡧⢉⣿⠋⣿⠖⡿⠀⢀⠠⢀⣈⣉⣍⣯⣏⣆⣀⠀⡈⢙⣿⠶⠶⣤⣥⣦⡾⠾⠋⠀ ⠀⠀⢠⡟⡁⠒⡄⠁⠂⢈⠀⢼⣿⡁⣾⡟⣡⠞⢁⣴⠶⠛⠋⠉⠉⠀⠀⠀⠈⠉⠛⣶⡸⣻⠷⠲⠀⠀⠈⣧⠀⠀⠀ ⠀⢠⡟⣨⠔⠃⠄⡁⠀⠐⢨⣿⠈⠛⠿⢿⣳⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⢷⣦⡶⠂⢸⣇⣿⣠⣄⠀⠀⠀⣹⠀⠀⠀ ⠀⣿⠁⡜⢨⠁⠂⠀⡀⢦⣾⠃⠀⠀⢤⡿⠋⠀⢀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⢀⣾⡿⠋⠁⠀⠀⠀⠘⢿⡄⠀⠀ ⢸⡏⠀⡎⡀⠆⠀⡀⣰⣿⡇⠀⠀⢁⣾⠁⠀⢀⣾⡆⠀⠀⠀⢾⣉⡿⠀⠀⢀⣶⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀ ⠸⣷⠀⠕⢄⠠⠐⣰⡿⠋⢿⣤⠀⠈⣿⡀⠐⠛⠋⠀⠀⠀⠀⣈⣽⣧⣖⠛⠛⢯⣽⣛⡶⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀ ⢸⡿⢷⣬⣤⣶⠿⠋⠀⠙⠉⠙⢻⣶⣬⣷⣦⣤⣤⣤⣤⢶⣾⠏⠈⠁⣹⣆⣠⡀⠀⢹⡆⠀⠀⠀⠀⠀⠰⠀⣼⠀⠀ ⢸⡇⠀⠀⠀⠀⠠⠀⠀⠀⠀⠺⠋⠉⠀⢀⣠⠞⠋⢁⣰⠏⠀⠀⣴⠞⢏⣭⣯⣓⡶⠾⢥⣄⠀⠀⠀⠀⠀⣴⠇⠀⠀ ⠈⢷⡀⢀⡄⠀⠀⠈⠑⢦⡀⠀⡀⠔⠉⠈⠹⠶⠦⠷⠿⣤⣤⠾⠧⢷⡿⠉⠀⠈⣷⠀⠀⠹⡆⠀⠀⢰⠟⠁⠀⠀⠀ ⠀⠈⠛⢾⡇⠀⢠⢀⢄⠊⠙⠢⣄⡀⠀⠀⠀⠀⠚⠶⣤⣿⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⣿⠀⢠⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢷⡋⠉⠳⣀⢀⠀⠀⠀⠉⠂⠀⠀⠀⢠⣤⣏⣿⡀⠀⠀⠀⠀⠀⠀⣸⢷⡀⠀⢀⣟⡴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⣄⠀⠈⡉⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⠤⠽⢦⣀⣴⠏⠀⢉⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠲⠮⣥⣤⣼⣦⡀⠀⠀⠀⠀⠀⠀⣀⣶⣀⣀⣀⣀⣀⣤⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⠒⠒⠛⠉⠁⠀⠀⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⡿⠿⠟⠿⠛⠛⠻⢿⣿⢇⡚⣴⣿⡿⠹⣿⣿⡷⢸⣿⣿⣿⣏⠰⣿⣿⣿⡇⠀⠄⡉⢀⠀⣤⣌⣛⢿⣶⣤⠹⣿⡄⠀⠀⠀⠀⠙⣿⣿⣿⣿⣴⣿⠏⠁⡄⠠⢀⠄⣀⠢⠐⣀⠂⡄⠤⡀⢄⣠⠀⢄⠂⢄⡐⠠⢄⠠⠀⢄⠠⢠⠐⡈⢅⠢⢐⠠⢠⠈⣿⣯⣵⠶⢾⣛⣫⣭⡶⠶⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣶⠞⣛⣫⣭⡶⠶⣛⣋⣭⡵⠶⢛⣛⣭⣿⣿⣿⢡⠞⡰⢣⠹⣿⣿⣯⣭⡶⠶⣛⣻⣿⡷⠿⠋⠈⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⢀ ⡅⠀⠀⠀⠀⠀⢀⣾⣿⣶⣷⣾⢿⣶⣷⣏⣡⣶⣷⣌⣿⣿⣿⣷⡉⠛⠋⢁⠈⠠⠐⠠⠈⠙⠛⠻⣷⡌⠻⣷⣿⡇⠀⠀⠀⠀⠀⠿⣿⣿⣿⣟⠁⠄⠃⠤⠑⢂⠐⠠⢂⠡⢀⠂⡐⠠⠁⣼⣿⠁⢢⠈⠄⢠⠁⠂⣴⣧⠂⢄⡁⢂⠌⣀⢂⡐⢂⡐⢂⠸⣿⡶⠟⣛⣩⣭⡶⠾⢻⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣩⣭⡶⠾⢛⣋⣭⣴⠶⠟⣛⣩⣼⣿⣿⣇⣣⣮⣵⣷⣷⣿⣿⣿⣷⣾⣿⣿⣿⣇⠀⠀⠀⠀⠸⣿⣿⣿⣄⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠆⠀⠀⠀⠀⠀⣾⣿⣷⣿⠿⢟⣘⠿⠿⢏⡸⢿⡿⢋⡹⢿⠿⢻⣿⡄⠐⢀⠂⠄⡐⢀⠂⡐⢀⠂⢹⣿⡀⠘⢿⣧⡀⠀⠀⠀⠀⢀⣾⣿⣿⡿⠇⡘⠠⢂⢡⣾⡷⢀⠂⡐⠂⠤⢁⠃⣸⣿⠇⡈⠆⣈⠘⠠⠌⠡⢸⣿⠀⠂⠌⠄⠊⠄⠡⡈⠄⡐⠂⠄⠹⣿⣟⣯⣽⡷⠾⣛⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣯⡶⠾⣛⣻⣭⣷⠶⢟⣛⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡃⠀⠀⠀⠀⣸⡿⢈⡙⠿⣷⣿⣿⡷⢸⣿⣿⡧⣼⣿⣿⡆⣾⣿⣿⣷⣶⣤⡀⠂⠄⠠⢀⠐⠀⢂⠈⠁⠠⠀⠄⠙⣿⣦⣀⠀⠀⣼⣟⠈⡁⣶⣇⠠⠁⠆⡈⢿⣧⣼⡿⠂⣉⠰⢀⣾⣿⠃⠰⢀⠜⠠⠈⠔⡈⠡⢸⣿⠠⠡⡈⠄⠃⠌⠡⢐⠠⣁⣬⣶⣷⠿⠿⠿⠷⣾⣿⣋⣿⣇⠀⠀⣴⣾⣿⣷⣤⠀⠀⠀⠀⠀⠀⠀⠀⣽⣷⣾⣛⣋⣭⣵⠶⢟⣛⣩⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣠⣾⡟⠁⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡅⠀⠀⠀⢀⣿⠇⠤⠐⢠⠈⡙⠿⣷⣮⡛⢛⣥⣼⡛⢛⣥⣜⠛⣛⣤⣝⠻⣿⣆⠈⠄⡀⠂⡁⢀⠈⡀⢁⠈⡀⠂⠈⠻⣿⣷⣶⣿⡿⣷⣶⣿⠏⠠⠁⡌⢐⠈⣉⠉⠤⢁⠄⢢⣽⡿⠁⠌⡐⡈⠄⠡⠘⢠⢈⡁⢺⣿⢀⠡⢐⡈⢡⠊⠁⣦⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⡀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢠⣿⣟⡻⢿⣿⣷⡶⢟⣛⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠆⠀⠀⠀⢸⣿⠂⡅⠌⣀⠒⡀⢂⠄⠛⢿⣿⣿⣿⡇⢿⣿⣿⠇⣿⣿⣿⠂⣿⣿⣦⣤⣄⡁⠐⡀⠂⢀⠂⣠⣄⣄⠁⠄⠈⢿⣿⣿⡅⠠⢄⠠⠌⡐⠡⠐⣈⠐⠠⠌⠒⡈⢰⣾⡿⠁⠌⡐⢀⠒⡈⠐⣁⠢⢀⠂⣹⣿⠀⣂⠡⠐⢂⠘⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡈⢿⣷⣄⠻⣿⣿⣿⠿⠁⠀⠀⠀⠀⢀⣰⣿⠿⡼⣙⢧⡏⣿⣿⣟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏ ⡇⠀⠀⠀⢸⣿⣤⣴⣀⠄⢢⠐⡈⠄⠃⠌⠹⣿⣷⣾⣶⡍⣱⣶⣮⡉⣵⣶⣯⢛⣽⣿⣿⢿⣦⠀⠁⠂⢰⣿⣿⣿⣷⠈⠠⠀⢿⣿⣧⠐⢂⡐⠤⢀⠡⠌⠠⠈⠔⠨⠄⡑⣼⣿⠁⠌⡐⠠⢁⠂⠤⠁⢄⠒⠠⢁⣿⡇⠢⢀⠆⡉⠄⢺⣿⠁⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⡄⢻⣿⣷⣤⣌⣀⠀⠀⠀⢀⣀⣴⣾⡿⣏⢟⣱⣏⣮⠵⡮⣝⣿⣿⣿⣿⣿⣿⡿⠟⠋⠙⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⡿⠛⢿⣤ ⣷⣶⣤⣀⣼⡿⣩⠛⣿⡷⢀⠂⠔⡈⢡⠘⢠⠈⣿⣿⣿⣃⣿⣿⣿⡋⢿⣿⠿⡉⢿⣿⠿⠘⣿⣷⣶⣶⣮⣿⠿⠟⠃⠠⢁⠈⠸⣿⣿⣦⠂⡐⡀⠆⡐⢈⠡⠡⠌⠰⠈⠄⣿⣧⢈⠐⠠⢁⠂⠌⠠⠉⡄⠌⠡⣸⣿⠡⡁⢊⠐⡠⠁⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠇⠸⣿⣏⣟⡻⢿⢿⡿⣿⠿⣟⢯⡳⣝⢮⣿⣿⣿⣿⣿⣷⢭⢺⣿⣿⣿⣿⣯⣾⣿⣿⡆⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠈⠻⣿⣿⣿⣯⠀⠀⠀⣉ ⣿⣿⣿⣿⣿⣇⡋⠖⣿⡷⠈⠰⢀⠡⠊⡐⠈⡄⠙⠿⠿⠿⠿⠿⠿⢷⣾⣭⣴⣷⣮⢉⣶⣶⣿⢻⣿⣿⣟⢿⣦⡀⠂⡀⠈⠐⡀⠙⢻⣿⣦⣁⠃⢄⣡⣬⣤⣦⡐⠠⠒⠠⠹⣿⣌⠐⠂⢌⡐⠄⠂⠤⢁⡐⢠⣿⡏⠠⠡⠘⢠⠁⠂⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠻⠿⠿⠋⠀⢠⣿⡯⣝⡳⢞⡼⣣⡝⢶⡹⢎⡷⣹⢾⣿⣿⣿⣿⣿⣿⡜⣮⣿⣿⣿⣿⡍⢿⣿⡿⠃⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⢀⣠⣿⣿⣿⣿⠀⢠⣴⡿ ⣿⣿⣿⣿⣿⣄⠛⣼⣿⠇⡈⠁⠆⠠⢁⠰⠁⡄⢃⡐⢂⠰⢀⠂⠔⢂⠈⢻⣿⣿⠟⣘⠿⣿⠟⡘⢿⡿⢏⡸⣿⣿⣾⠿⣿⣷⣄⣐⣼⣿⡿⣿⣾⡿⠛⢋⠙⢋⠁⡘⠠⠃⡄⠙⠿⣿⣶⣤⣐⡈⢁⠂⣄⣴⣿⠟⡀⢃⠡⠉⠄⠌⠡⠸⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⢳⡭⣝⣫⢖⠧⣝⣣⡝⣏⢶⡹⣎⢿⣿⣿⣿⡿⣟⡼⣱⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⠿⣻⣵⣿⣿⠏⠀⠹⣿⣿ ⡟⠛⢋⠁⠻⢿⣷⣿⠟⠀⠄⡑⠨⠐⣀⠢⠁⡔⠠⢐⠠⢂⠂⠌⠒⡈⣐⣼⣿⢰⣿⣿⣷⢴⣿⣿⣧⣴⣿⣿⡦⣽⣿⣿⡆⣾⣿⣿⣿⡿⢿⣿⠃⠤⢁⠂⠌⣀⠂⣁⠂⢡⠐⡁⢢⠈⡉⠛⠻⠿⠿⠿⠟⢋⡁⠂⠤⢁⢂⢉⠰⢈⠁⠆⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣏⢷⡹⣎⡵⣎⠿⣜⢶⣙⢮⣣⠟⣜⢧⣫⢞⣥⢻⣜⢺⣵⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣜⣦⣿⣿⣿⡿⠋⠀⣀⡀⠀⢉ ⡇⢈⠰⢈⠐⠄⡉⠄⢂⠁⢂⠤⠑⡈⠄⣂⠱⢀⠃⡄⢂⠡⡈⠄⢿⣿⣿⡛⣫⣬⡛⠟⣫⣬⡛⢟⣣⣌⣻⣿⣡⣙⠿⢛⣡⣽⣿⠟⠁⠀⠀⣿⣧⡐⠂⠌⡐⢀⠢⠀⠜⡀⠂⡔⢀⠂⢡⠘⡀⠆⡐⠠⠌⠠⠠⠑⢠⠊⡀⠂⠔⡈⠌⠰⢀⠛⣿⣦⣀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣟⡳⢎⡳⣇⢷⣺⣼⣷⣾⣮⡝⡶⣣⢟⡼⣣⢗⡾⣸⡓⣮⣿⣟⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣋⣉⠉⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠹⠿⣿⣶⠿⠿⣿⡿⠀⠙ ⡇⠈⠆⡐⠨⠐⠠⠌⠠⡈⠄⢂⠡⡐⠌⡀⠆⡁⠎⡐⢈⡐⠄⠊⠄⡉⠻⣿⣿⣿⡿⢸⣿⣿⡟⢸⣿⣿⣿⣿⣿⣿⣷⣿⣿⡿⠋⠀⠀⠀⠀⠈⠛⢿⣷⣦⣴⣤⣦⣥⣂⣌⣁⠐⡈⠌⢠⠂⠔⠠⠄⠡⡈⠔⠡⠈⠄⠂⠄⡁⢊⠐⡈⠡⢂⠢⢀⠙⠻⢿⣶⣶⣶⣶⣿⠿⣟⢯⡳⡼⢭⣏⠷⣭⣾⡿⠋⠉⠉⠛⣿⣷⡹⢮⡵⣋⠾⣜⣥⣿⣿⠿⠿⠛⠛⠛⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣿⣿⡧⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠥⡓⠴⣈⢏⠲⣿⣧⣶⡶ ⡇⢉⠔⠈⡅⠨⠐⢌⠰⢀⠃⡌⡐⠰⢈⠤⠑⡠⠃⠤⢁⡐⠨⠌⡐⠄⢡⠈⢿⣿⣶⣶⣏⢩⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣭⣝⣛⠛⠻⠿⣷⣮⣄⡈⠄⠃⠌⠡⢐⠈⠤⠑⡈⠌⡐⡁⢂⠌⠠⡑⠠⢂⡁⠎⡐⠰⣿⣟⡼⢳⢎⣿⣼⣷⣷⣭⢳⣎⢿⡰⣿⡇⠀⠀⠀⠀⠈⢿⣯⢳⣣⢯⣿⡿⠛⠉⢀⠀⠀⡀⡄⢤⠠⠄⠤⣀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⡇⠙⠿⠛⠁⠀⠀⠀⣾⣿⣿⣿⣿⣿⣟⣼⣿⢛⠲⣉⠖⣩⢎⡱⢛⣿⣦⡀ ⡇⠌⡂⢡⠂⠡⠘⡀⠆⡁⠆⡐⡈⠔⡁⠂⠅⡂⠅⠢⢁⠤⢁⠒⣀⠊⠄⡂⠄⢻⣿⡿⠟⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣶⣾⣿⣿⣷⣦⡄⠀⢻⣏⠙⠛⢿⣶⣤⣠⣿⣿⣿⣿⣶⣬⣥⣂⣌⠐⠡⠐⠂⠔⡐⠠⠘⢠⠐⡁⢂⠐⡐⢠⠁⣿⣿⡜⣏⣾⣿⣿⣿⣿⣿⣷⣚⢮⣓⢿⣷⡄⠀⠀⠀⠀⢸⣿⣧⣿⡟⠃⠀⠀⠀⠂⠃⠀⠀⠀⠀⠉⠉⠑⠂⠁⠀⠀⠀⠀⠙⢿⣿⣿⣿⣷⣄⡀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠟⣿⣿⣤⣋⣕⠪⡜⣡⠎⣴⣣⣼⣿⡷ ⡇⠰⢁⠂⡅⢂⠑⡈⠤⢁⠂⡡⠐⡐⠈⠌⡐⠄⢊⢁⠢⠐⢂⡐⠠⠌⡐⠌⠰⠀⢻⣷⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠙⠛⠿⣶⣶⣬⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣷⣾⣤⣆⣈⡐⢁⠂⠔⠠⣁⠂⠌⡀⠆⡘⢿⣿⣜⣻⣿⣿⣿⣿⣿⡗⣮⢳⡭⡞⡽⣿⣦⣤⣀⣴⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠉⠙⠛⢿⣷⣡⢣⣾⣿⣟⡉⠉⠀ ⡇⠘⡄⠘⡄⠂⠌⡐⠰⠈⢄⢁⠂⠡⠘⢠⠐⡈⠄⠂⠤⠉⠤⠠⢁⠂⡐⠌⠡⠘⠠⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⣥⣤⣈⡐⢁⠂⠔⡈⠿⣿⣼⣛⠿⡿⡟⢧⡻⣜⠳⡞⣭⣳⣭⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣶⣤⡀⠀⠀⠀⠀⠀⢻⣷⣿⠟⠈⠻⣷⣤⡾ ⡇⢡⠂⢡⠂⡁⢂⡐⡁⠊⠄⢂⣬⣴⣥⡂⠰⠀⠌⣁⠂⡉⣄⣁⠊⡐⣀⠊⢡⠘⣠⣾⠟⠁⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣾⣿⣿⣿⣿⡏⠀⠀⠀⢠⣾⣿⣷⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣭⣿⣿⣿⣷⣿⣧⣷⣾⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⣹⣿⣿⣻⣿⡟⠿⠛⠻⣿⡉⠀⠀⠀⠈⠙⢿⣦⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⣿⣏⠀ ⡇⠰⡈⠄⢃⡐⠠⠐⡈⡐⢨⣿⡟⠉⠿⠟⠠⢁⠒⡀⠆⢸⣿⣿⠀⠔⠠⠘⡀⣲⣿⠋⠀⠀⠀⠀⠈⠙⠛⠛⠋⠁⠀⠙⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⠀⠀⠀⠘⢿⡿⠟⣼⣿⣿⣿⣿⣿⣿⣿⡿⢋⣡⣀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣶⡹⢞⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣶⣤⣀⠀⣠⣿⣿⣟⡷⣿⡇⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⢿⣧ ⡇⢡⠐⠨⠄⡠⢁⣶⣿⠿⢿⣿⣧⣐⡠⢈⠐⡀⠂⠌⡐⠂⠌⢠⠈⠌⡁⠆⢱⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣤⣀⣀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⢱⣿⣿⣿⡆⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣦⣝⣻⣿⣿⠿⣍⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣾⣿⣿⢿⣟⡿⣿⠿⣿⣷⣿⡿⣏⣯⣽⣿⣇⠀⠀⠀⠀⠙⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⣤⡀⣹ ⡇⢂⠡⠘⢠⠐⡘⣿⣧⡔⠀⣿⣿⠿⠃⡀⠆⡐⢁⠢⠐⡉⡐⠂⢌⡐⠐⡈⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠉⠁⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠛⠟⠛⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢎⡿⣜⣻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡻⣽⢞⣯⣞⡽⣞⣻⡵⣫⣏⡷⡽⣾⠛⣿⣿⡄⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣍⣿⣿⣏⣿ ⡇⠄⢃⠌⡀⠒⠠⡈⠁⠄⢂⠉⠄⢂⠐⣀⠒⡀⠆⢂⢁⠒⠠⠑⢠⠠⢁⠐⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣀⡀⣀⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⣛⢶⣱⣾⣿⣇⠀⠀⠀⠀⠀⠀⢀⣀⣀⣿⣿⣳⡗⣯⣗⡻⣶⣹⠾⣝⣧⢟⣷⣹⡞⣽⡟⠀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⠙⠛⠻⣿ ⡇⠨⢀⠂⠄⡑⠠⠄⡉⠰⢈⠐⠨⠄⠒⡀⠆⠰⠈⡄⠂⠌⢂⠉⣄⣴⣶⣾⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⠿⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⡟⣣⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⣰⣿⣿⣿⢿⣿⣷⣏⣾⢳⣝⣻⠶⣏⡿⣽⣾⣿⣾⣧⣿⣽⠃⠀⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⣸⡟ ⡇⠐⡈⣴⣶⣤⠁⠂⠄⠃⠄⢊⠡⢈⠤⠁⡌⢁⠒⢠⣉⣴⣾⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢠⣾⣿⣦⠀⠀⠐⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⢟⡰⡑⢎⠽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣶⣿⣿⢿⣹⣾⣿⣟⣾⣼⣿⣿⣯⢿⣹⣽⣿⢏⣿⣿⢿⣿⠏⢀⣼⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⣿⣧ ⡇⠠⢁⠻⣿⠏⠐⠰⢀⠒⠠⠌⠂⠌⠄⢂⠡⢈⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠸⣿⣿⣿⡄⠀⠀⠀⣀⣀⣤⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⢌⢣⠓⡜⡰⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⡼⣏⣿⣿⣾⣿⣻⣼⢻⣤⣾⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣷⠀⠀⠀⠀⠀⠀⢿⡏ ⡇⠐⣂⠐⡀⢂⢁⠢⠁⡌⠂⢌⠁⡊⠌⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡄⠀⠀⠀⠻⣿⣿⠃⠀⠀⠸⠟⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣾⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣟⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⡟⠻⣿⣾⣵⣯⣿⣿⣧⣯⣿⣿⣟⠁⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⡀⠀⠀⠀⠀⠻⣿⠿⠋⠀⠀⠀⠀⠀⠀⠘⢿ ⡇⢁⠂⠌⡐⠂⠄⣂⠡⡐⠉⡄⢈⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣰⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠛⠋⠉⠁⠀⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣽⣟⡻⠿⠿⠟⢛⣉⣉⢿⣧⡀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼ ⡇⠐⠌⢂⠡⠌⡐⡀⢂⠤⢁⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠙⢿⣆⡀⠀⠀⠀⠀⠀⠀⠈⠋⠙⠛⠛⠻⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⣧⡻⣯⢻⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢟⠫⡜⠦⢼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠉⠙⢿⣦⠀⣴⡿⠛⠻⣷⠙⢿⣦⡀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛ ⣷⣬⣌⠐⡠⠡⠐⣈⣄⣰⣢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⠀⠀⠈⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⢿⡝⢷⡜⣷⡹⣧⡻⣧⠻⣏⢿⡝⢿⡟⣿⣟⠋⠻⣿⣿⣷⣎⡱⣌⣓⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣷⠀⣀⣨⣿⡾⠟⠀⠀⢘⣿⡀⠀⡙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣫⣤⣶ ⣿⣿⣿⣿⣦⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣦⣤⣛⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣿⣾⣿⣾⣿⠿⣷⡿⣷⡹⣧⢻⣮⢻⣎⢿⣷⡀⠈⠻⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⣿⣿⣿⢿⣻⣿⣿⣿⠿⠿⠛⠛⠛⠛⠙⠋⠛⢛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⣿⠇⠀⠀⠀⠀⣸⡿⠻⠟⠟⠻⣷⣦⣤⣤⣤⣦⣦⣴⣤⣤⣤⣀⣀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣻⣽⣶⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠉⠙⠻⣿⣿⣿⣿⣷⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣶⣶⣿⣿⡿⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⣼⣿⡜⣷⡝⣧⡹⣷⡻⣦⢻⣿⣄⢀⣈⣿⡟⣱⡘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣦⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⢀⣤⣿⣿⣿⡍⣿⣿⣷⡼⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⣀⣀⠀⠀⠀⠙⠻⣿⡄⠀⢈⣿⣯⠻⣯⣿⡏⢉⣽⣿⣿⣿⣿⣆⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣾⡿⣧⢻⣎⢿⡜⢿⡜⣷⡹⣷⣿⡿⠿⣟⢫⡑⢦⠙⡬⣉⡛⡝⢻⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡇⠀⠀⠻⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⣴⡿⢁⣠⣶⣾⠿⢋⡹⠿⠟⣁⣙⠟⢫⣤⣝⠛⣭⣦⣝⠋⣵⣾⣝⢻⣿⣿⣿⣿⣿⣥ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢿⣿⣿⣶⡀⠀⢠⣹⣿⣆⣼⣿⡼⣷⡹⣿⣿⣿⣿⣿⠿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⡟⣷⡹⣧⡻⣧⢻⣮⢿⣎⢿⣜⣿⣿⣷⣌⠲⣉⠦⡙⠴⡱⣘⣼⣿⣿⣿⡿⢋⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠛⠁⠀⠀⠀⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⢠⣾⣿⣶⣿⣿⣿⣦⢼⣿⣿⡧⣿⣿⣿⡇⣿⣿⣿⠖⢿⣿⡿⠘⢿⣿⠿⡘⠿⠿⣿⣿⠿⢻ ⣿⣿⣿⣿⣿⣿⣽⣷⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣽⣾⣿⣿⣿⣆⠀⠙⠿⠿⠇⠀⠈⠉⠙⣿⣿⣏⢿⣌⢿⡜⣿⣿⣿⣿⣤⣾⣿⣿⣿⣿⣿⠀⢀⣄⣀⣼⣿⣿⣿⣿⣿⣿⢻⣞⢿⡜⣷⡽⣷⡹⣷⡻⣮⢻⣎⢿⣟⣿⡖⣡⢎⡱⢣⠱⣸⣿⣿⣿⡟⢀⣿⣿⣿⣄⠀⠀⠀⠀⠀⢀⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠋⠀⠀⠀⠀⢀⣴⣿⠻⠿⢋⣈⡛⠛⣣⣬⡛⢛⣥⣬⡍⣩⣶⣾⡍⣱⣾⣷⡌⣼⣿⣷⣤⣾⣿⣿⣰⣿⣿⡷⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠸⣿⣹⣷⣿⠿⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣧⣻⣮⢻⣎⢿⡜⢷⣝⣷⡹⣷⡻⣧⢻⣿⡗⣌⣶⣿⣷⣷⣌⣿⣿⣿⠁⠀⣿⣿⣿⡿⠀⠀⠀⠀⠀⣿⣿⣽⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⡿⠃⠀⠀⢀⣠⣶⡿⣿⣿⣿⠄⣿⣿⣿⠸⣿⣿⡿⠸⣿⣿⡟⠹⣿⡿⢏⡹⢿⠿⣋⣹⠿⢟⣡⣝⠻⣋⣤⣝⠋⣥⣶ ⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⢸⣿⢻⣟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣝⣷⡙⣷⣹⣿⣿⣯⣻⣮⣿⣿⢿⣜⣷⡙⣷⣿⣿⠿⣯⢻⣟⢿⣿⣿⣿⣿⡄⠀⠈⠛⠛⠁⠀⠀⠀⠀⠀⠈⠉⠉⠀⣤⣤⠀⠀⠀⣀⣤⣴⣾⣿⣿⣿⣿⡟⠁⠀⣀⣴⣾⡿⢛⣥⣍⡛⣩⣤⣭⡉⣵⣶⣮⣉⣶⣷⣦⢠⣾⣿⣦⢸⣿⣿⣧⢸⣿⣿⡇⢾⣿⣿⡇⢿⣿⣿⠇⢿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣟⣿⣽⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣯⣿⡷⠀⣾⣿⡛⣷⡻⣦⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⠿⡿⠿⠟⠋⡈⠛⢛⠛⠙⢿⣮⣿⣾⣿⣿⣷⡝⣷⡹⣿⣿⣦⣻⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⢀⣤⣤⣄⠀⠀⠀⢀⣨⣭⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣴⣶⠿⠛⣻⣿⡗⢿⣿⣿⠗⢿⣿⣿⠋⠿⣿⠿⢉⠿⠿⢟⣈⡻⠿⣋⣬⡛⠛⣥⣬⡟⢋⣵⣮⣍⣩⣶⣾⡍⣴⣾⣷⡄ ⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠀⠀⢸⣿⢿⡜⣷⡙⣷⡹⣿⡿⠟⠛⠛⠛⠛⠉⠉⠁⢸⣿⠿⠋⢀⠐⠠⢈⠐⢠⣾⣿⣿⣧⡀⢈⠉⡉⠀⢘⣿⣿⣌⢿⣼⣿⡜⣷⣹⣾⣿⠿⢿⣿⣦⣤⣤⣼⡿⠋⠉⢻⣷⣾⣿⣿⣿⣿⣶⣿⠋⠀⠈⣽⣿⠟⠛⠉⠉⠀⠀⠀⢠⣿⢋⣴⣶⣍⢡⣶⣶⡆⣴⣿⣿⡄⣾⣿⣿⡆⣿⣿⣿⠶⣿⣿⣿⠽⣿⣿⡿⠻⣿⣿⠏⠹⣿⡿⢇⡹⠿⠿⣃ ⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣿⣿⡿⣿⣽⣿⣿⣿⣿⣿⡿⣿⣻⣽⣾⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⣿⡿⣮⢻⣎⢿⣜⢿⣿⣧⣀⠀⠀⠀⣀⣀⣤⣶⡿⠋⠠⠐⡀⠈⠄⠂⠠⠈⠻⣿⡿⠟⠀⠄⠂⣠⣴⣿⡿⣧⠻⣎⢿⣿⣿⣿⣿⣟⠃⠀⠀⠀⠉⣽⡟⢹⣷⣀⣀⣤⡋⠉⠛⣿⡏⠀⠀⠀⢀⣤⣾⣿⡀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠘⢿⡿⠟⡘⠿⠿⣃⣙⠻⠟⣡⣝⡛⢫⣥⣭⡛⣩⣶⣭⡉⣵⣶⣮⣉⣶⣿⣦⢰⣿⣿⣧⢰⣿⣿⣧⢼⣿ ⠇⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣿⣿⣿⣻⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⡇⣼⣿⣷⡹⣷⡻⣦⢻⣮⢿⣝⢿⣿⠿⠿⠛⠛⠉⢁⠀⠄⠡⠐⠀⡁⠄⢈⠠⠐⠀⡀⠠⠐⢈⢀⣾⣿⢿⣍⣷⡝⣷⡹⣧⣿⣧⢻⣎⢿⣷⡀⠀⠀⠠⣿⠃⠀⠙⠛⢻⣿⣦⣀⠀⠙⣿⣶⣴⣾⠿⠋⠁⣿⣿⣿⣶⣶⣤⡀⠀⠀⠀⣿⣿⣷⢰⣿⣿⣷⣸⣿⣿⡷⢺⣿⣿⡇⢿⣿⣿⠇⢿⣿⡿⠃⢿⣿⠿⣉⡻⠿⢟⣈⡻⠟⣫⣬⡛⠛⣥⣤⡙ ⡆⠀⠀⢸⣿⠙⠻⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠙⢿⣿⣧⡻⣧⢻⣮⢻⣎⢿⣾⡿⠀⠀⠄⡀⠂⠈⠄⠠⠀⠄⠂⠁⡐⠈⠠⠐⠠⠁⠂⠐⣨⣼⣿⢿⡜⢿⡝⣷⡹⣷⡻⣿⣿⣮⢻⣎⣿⡇⠀⠀⠠⣿⡆⠀⠀⠀⢸⡿⠛⠿⣶⣶⡿⠛⠉⠉⠀⠀⢰⣿⢯⡹⣝⡻⢿⣷⣄⠀⠀⠹⣿⣿⠘⠻⢿⣿⣏⡻⠟⣣⣬⡛⢛⣥⣬⡛⢩⣴⣮⡍⣱⣶⣾⡍⣴⣿⣷⣄⣾⣿⣷⣰⣿⣿⣷⢰⣿⣿⡗ ⠆⠀⢠⣿⠃⠀⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠈⢿⣾⢷⡽⣷⡹⣷⣿⡿⠟⢁⣰⣌⣀⠠⠁⢂⠈⢀⠁⠂⠡⠐⠀⣸⣿⠀⡁⣈⣴⣿⣿⣯⡻⣧⢻⣮⢿⣞⢿⣜⣷⣽⣿⡹⣧⣻⣿⠃⠀⠀⠀⢻⣧⡀⠀⠀⢸⣟⠀⠀⣀⣴⡄⠀⠀⠀⠀⢀⣿⡿⣣⣿⣶⣿⣷⣚⣿⣷⣄⣀⣸⣿⣿⣿⣿⠛⢿⣿⡰⣿⣿⣿⠸⣿⣿⡿⠹⣿⣿⠟⡹⢿⡿⣃⡻⠿⢟⣁⣛⠿⣛⣤⣝⠛⣫⣤⣝⣫⣿ ⡃⠀⢺⣯⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⠿⣛⢋⡛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠘⣿⣎⢿⣜⣿⣝⣿⣷⠀⣾⣿⣿⣿⡆⠐⡀⠐⠠⠰⣶⣦⣴⣾⡿⢃⣴⣾⠟⠋⠉⠙⠛⠿⢿⣷⣿⣧⣿⣮⣿⣿⣿⢿⣿⣿⣿⣷⠾⠿⠿⠿⣶⣿⣷⣄⠀⢸⣿⡾⠿⠛⠉⠀⠀⠀⠀⣠⣾⣿⠳⣽⣿⣿⣿⣿⣿⣒⢿⣿⡿⢻⣿⣇⢸⣿⢀⠈⠻⢿⣾⣿⣿⣶⣮⢡⣾⣿⣦⢰⣿⣿⣧⢸⣿⣿⣇⣾⣿⣿⡇⣿⣿⣿⠇⣿⣿⣿⣿⣿ ⡇⠀⢸⣿⣶⣤⡀⠀⢀⣤⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡛⢥⠓⣌⠣⡜⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢿⣿⣿⡿⠛⠛⣿⡇⢀⠘⠻⠿⠛⠀⡁⠀⠌⠐⠀⠈⢉⣉⣥⣶⡿⣿⣿⠀⠀⠀⠀⠀⠀⢀⡀⠈⠉⠉⠉⣻⣿⠛⣯⣿⠟⠁⠀⠀⠀⠀⠀⠀⠈⠛⢿⣷⣦⣁⡀⠀⠀⠀⠀⣀⣤⣾⣿⢻⡜⣻⡜⣿⣿⣿⢟⣧⣛⢮⣿⣟⢧⣻⣿⣿⡟⠀⠌⢠⣶⣾⡄⠘⢿⣿⣬⣿⣿⣏⣈⡿⠛⣣⣬⣛⢛⣥⣬⡛⣩⣶⣮⣍⣡⣾⣿⣿⣿⣿⣿ ⣇⣤⣸⡿⢿⣿⣿⣦⡀⠻⣷⡄⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣆⠫⣼⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢀⣿⠇⡄⠈⠐⠀⠀⠁⣀⢡⣠⣤⣾⣿⠿⠿⣿⣷⡾⠟⠁⠀⠀⠀⠀⠀⠀⠘⢿⣦⡀⠀⠀⢿⣷⣼⡿⠁⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⡦⠙⣿⣿⢿⡿⣿⢿⡿⢿⡻⣝⠮⢧⣛⣥⢻⡔⣮⢖⣫⠶⣹⢎⣿⣟⢮⡵⣿⡟⠀⠌⡀⠘⣿⣿⣿⠀⠂⢉⠉⠉⢻⣿⣿⣿⣼⣿⣿⡿⠸⣿⣿⡟⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠁⠀⢻⣿⣿⣷⣾⡟⢿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣾⣿⣿⣿⣿⣿⢿⣿⢿⡟⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⣦⣄⡈⣹⡿⠀⠀⠀⠀⠀⠀⠶⡿⠟⠛⠉⣻⡇⠀⢸⣿⣎⢷⡹⢮⣹⢣⡝⣮⢛⡧⡽⢬⢧⣿⣴⣏⡞⣭⢧⣻⣿⣿⣾⣿⣿⡇⠈⠄⠐⠀⠉⠛⠁⡀⠡⠀⠌⠐⡀⠉⠛⠛⠋⠉⣿⣿⣷⣦⢡⣾⣿⣶⣿⣿⣿⣿⡿⣿⣿⣿⣿ ⣏⣛⠁⠀⢾⣿⣿⣿⣿⡿⠁⣼⣿⣿⣿⣿⣿⠿⠛⠋⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢿⣍⢷⡜⣷⡙⣧⡹⣧⠻⣮⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠙⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⣿⣏⢾⡱⣏⢶⣋⢾⡱⣏⢾⡱⣻⣿⠋⠉⠻⣿⣾⣒⣿⡟⢉⣴⣿⣿⣧⣀⣄⣲⣿⠇⢀⠠⠀⡐⠠⠈⡐⠀⠌⠠⠁⣂⢸⣿⢋⠻⣿⣾⣿⣿⣿⣿⣿⣿⠋⠀⠀⣹⣿⣿ ⣿⣿⣿⣾⣷⣯⣙⠻⡿⠃⣸⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠁⠈⠉⢿⣧⠀⠀⢀⣤⣀⣀⡀⠀⢀⣾⡿⣧⣻⣮⢿⣞⢿⣜⣷⣽⣿⣿⢿⣹⢮⣳⡝⣾⢻⣿⣶⣄⠀⢀⣀⣠⣶⡿⢿⣷⣄⠀⠀⠀⠀⠙⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠇⠀⢨⣿⣏⢞⡱⣎⠗⣮⢣⠟⡼⣣⣝⣿⡏⠀⠀⠀⢸⣿⣿⡟⠀⠘⢿⣿⣿⢻⣿⣛⣛⡁⠀⠀⡀⠐⠀⠀⠡⠀⠈⠀⠂⣸⣿⣿⣿⡉⣇⠲⣹⣿⣿⣿⣿⣿⠃⠀⠀⠀⠹⣿⣿
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀⡿⡑⢎⠲⡑⢎⠲⣉⠖⡩⡜⣩⢛⣷⣎⡖⡱⢊⣿⠀⠀⠀⠀⠀⠀⠀⠔⠀⠈⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⢠⡞⠉⡏⢡⢆⡴⠋⠙⢢⠀⠀⠀⠀⠀⣺⢇⡹⢌⢣⠹⣌⢣⠓⣎⠱⡜⢤⠣⡜⣹⣷⡱⣩⣿⠀⠀⠀⠀⠀⠀⠀⠑⣤⠀⢀⠀⢠⠀⢁⠀⢠⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡷⠖⠞⠋⠁⠀⠀⠀⠸⡄⠀⠀⠀⠀⣿⠎⡴⣉⢎⡱⢌⡲⣉⠦⡙⡜⢢⠣⡕⢢⢽⣷⢱⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠈⠁⠼⠚⣀⡴⠋⠀⠀⠀⠀⠀⠀⠁ ⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⢀⡀⠀⢻⠀⠀⠀⠀⣿⡛⢤⢃⡜⣴⣿⣤⣇⠴⢣⠰⣃⠦⡰⢃⣼⣿⢘⣿⡐⠀⠀⠀⠀⠀⠀⠀⠀⠘⠧⠴⠤⠞⠃⢠⠠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⣤⠐⢄⣀⠡⢀⡼⠀⠀⠀⠀⣿⡍⢆⢧⡿⠁⠀⠀⠙⣿⣡⠓⡬⢒⡱⣩⣾⢇⠮⣙⠛⡟⡶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠐⡁⣄⠰⠠⢀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣀⣀⣉⡥⠔⢋⡀⠀⢀⣠⣤⣿⣼⣘⣾⠁⠀⢀⡀⠀⣿⣟⡙⠾⡟⢟⡫⡑⢎⢲⢡⢋⡴⠱⡌⡝⣻⣦⡀⠀⠀⠀⠀⡐⠁⠀⡂⡀⠀⠔⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠠⢄⠀⠰⠐⢠⡟⠁⠀⠀⠀⣹⠟⠛⢿⡋⠁⠀⠀⢻⣏⠖⡩⢆⡱⣉⠎⡆⢇⠮⣐⠏⣔⠣⢆⠭⢻⣦⡀⠀⠀⠀⠄⢃⠀⠄⠣⠄⡂⠀⠀⠀⠀ ⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢀⠸⠀⢂⠡⠠⠘⣧⠀⠀⠠⡴⠻⣄⣀⣼⣃⠀⠀⣀⣼⢏⡜⡱⢊⠵⣈⢎⡕⢪⢒⠥⡚⢤⢋⡼⢌⢣⢚⢿⡄⠀⠀⠀⠀⠢⠅⠀⠀⣠⠤⡀⠀⠀ ⠀⠀⡘⠉⢱⣄⡀⠀⠀⠀⠀⠀⠀⣑⠈⠐⡈⢄⠘⢳⣦⠀⠀⠀⠈⣿⠫⡝⣛⠻⣍⠳⣌⠲⣡⢋⠖⣩⠒⡬⢃⠮⡱⣉⠦⢣⠜⣘⠦⣉⢎⣿⡄⠀⠀⠀⡴⠒⡶⠋⡇⢀⠍⠀⠀ ⠰⠀⡀⢰⠏⠀⠈⡇⠀⠀⠀⠀⣀⠉⢆⠸⠀⠀⠰⠀⣿⡀⠀⠀⣸⡏⢷⠸⣀⠷⡈⢷⡈⢷⡀⣏⣸⣶⣿⡿⠿⠿⠿⠿⢿⣶⣏⡆⣇⠱⡎⣸⣷⠀⠀⠀⢷⠀⢹⣈⠷⠉⠀⠀⠀ ⠂⠀⠁⠀⠀⠀⠀⢧⡀⠀⠀⠀⠁⢄⠊⠁⠁⢀⣰⠚⢹⡟⢶⡛⢏⡜⢢⠝⡤⢓⡍⢦⣽⡶⠟⠋⠉⠀⠀⠀⠀⠀⠀⢀⣠⣴⠟⣯⣲⣳⠘⡴⣿⠀⠀⠀⡞⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠀⠀⣧⠀⠀⠀⠀⠀⢰⡏⠹⣏⡸⢆⡜⡍⢦⡙⢦⡘⢣⠚⣔⣣⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣧⡟⡖⣟⡇⢻⡝⣼⡏⠀⠀⠀⠙⣦⠀⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⢐⡦⠀⢀⡴⠃⠀⠀⠀⠀⠀⢀⡷⠒⠖⠉⠀⣿⡜⢢⡙⢦⡙⢆⣻⣾⣥⣤⠶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢺⣽⣯⠿⠇⢸⣏⡏⠀⠀⠀⠀⠀⠸⣄⠈⢀⠐⠀⡀⠀ ⠀⠠⠤⠤⠴⠚⠉⠤⡀⠀⠀⠀⠀⠀⠘⣇⡀⠀⠀⠀⢻⣎⠵⡘⢦⡙⣼⡟⡷⣽⣺⠶⣯⠃⠀⠀⠀⠀⣶⣛⣷⠀⠀⠀⠈⠀⠀⠀⢀⣿⠟⢁⠀⠀⠀⠀⠀⠀⠈⠙⠒⠋⠉⠀⠀ ⠀⠀⠀⠀⡂⠄⡀⠥⠐⠀⠀⠀⠀⠀⠀⠀⢇⠀⠳⠀⡚⣷⣣⠙⢦⠱⣿⠀⠈⣳⣯⡟⣿⠀⠀⠀⠀⠀⠈⣽⣶⠀⠀⠀⠀⠀⣀⡴⠟⠁⠐⠬⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠂⠀⡔⠀⠂⠁⠀⠀⠀⠀⠀⠀⠈⢳⣤⣤⣴⠚⣷⡝⢢⠙⣿⡄⠀⠉⠈⠀⠀⢠⣤⣤⡄⠀⠀⠙⠛⠀⢠⣴⣶⠛⠉⠀⠀⠀⠀⢠⡞⠓⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠢⠑⣂⠡⠄⠄⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⢀⠈⠻⣮⣕⡚⢷⣤⡀⠀⠀⢀⡟⠁⠈⢻⣤⡤⢶⡶⣛⡛⢿⣦⡀⠀⠀⡖⠒⡞⠙⡄⣠⠟⠒⢤⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢂⢡⠀⠈⠊⣀⡀⠀⠀⠀⠀⠈⢡⠀⠬⠀⢈⠄⢢⠉⠛⠛⠛⠛⢛⡿⠋⠻⣤⡤⠘⠛⠀⠈⢻⡴⣉⣶⡟⠁⠀⠀⣧⠤⡭⠝⠊⠉⠀⠀⢘⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠚⠁⠙⠢⢄⡀⠐⠄⡠⠜⠈⠱⠈⠂⠁⠀⠀⠁⠀⠀⠘⣧⣀⢀⣸⠟⠶⣤⣤⣤⠀⠛⠋⠉⣷⠀⠀⠐⡇⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀
⡄⣈⡳⠀⠀⠀⢠⠎⠁⠀⠉⢣⡈⠈⡹⠿⠍⠩⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡯⠒⠛⢕⠄⠘⠀⠀⠀⠀⠀⢣⠀⣾⡏⠉⡇⡍⣏⣿⡿⠋⠁⠀⠉⢿⣿⣿⣿ ⡟⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠸⡄⣿⣇⣀⣇⡁⣟⠏⠀⠀⠀⠀⠀⢸⣿⣿⣿ ⠧⣢⠤⢤⣪⠆⢸⠀⠀⠀⠀⠀⠀⣧⢹⣿⡟⠛⢻⡏⠀⠀⠀⠀⠀⢀⡿⢿⣿⣿ ⠀⠀⠀⠈⠁⠀⢠⠆⠠⡔⠁⡄⠀⡷⠒⠛⠉⠉⡙⠀⠀⠀⠀⠀⠀⣜⠤⠤⠁⠀ ⠀⠀⠀⠀⠀⠀⢸⣦⢎⢀⠍⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢈⠟⠤⠌⠁⠉⡠⠐⠒⠢⢄⠀⠀⠀⠀⠀⠀⢾⡸⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⣠⠮⠄⠒⠒⠂⠠⠍⣦⡀⠀⠀⠀⠀⢻⡈⠂⠀⠀⠀ ⠀⠀⠀⠀⢀⡜⠀⠀⡠⢊⣤⡀⠀⠀⠀⠀⠀⢀⣤⣅⢄⠀⠀⠀⠈⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠁⠀⠔⠀⣿⣿⡇⠀⢠⡄⠀⠀⢸⣿⣿⠆⢢⠀⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢆⠘⡄⠀⠈⠉⠀⠀⢀⡀⠀⠀⠀⠉⠉⠀⡌⡇⠀⢀⠆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⢌⠲⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣜⠔⢀⠴⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠗⠦⣉⠀⡲⠲⢖⠒⠒⢀⡥⠮⠊⠁⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠆⠉⡆⠉⠉⠁⠀⠀⢣⠐⠊⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠁⠀⠀⠀⠀⡔⠛⡄⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠰⢀⠒⠤⣃⢜⡰⢣⠜⣢⠓⣌⣲⡑⡎⢖⣍⠲⣥⣋⣾⣱⣿⣿⢿⡟⣟⣯⢻⡝⣯⢻⡽⣹⢯⡝⣯⡝⣯⢻⡝⣯⢏⡿⣹⢏⡿⣹⢯⡻⣟⢿⢿⡿⣿⣿⣽⣜⢆⡒⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠂⢡⣰⣬⠶⠟⠛⠛⠋⠉⠉⠉⠋⠙⠛⠳⠶⣽⣿⡼⠶⠿⣶⣿⣿⡟⣟⢮⣻⠼⣏⡾⣭⢻⡼⣳⡝⣧⢟⡾⣱⣻⠼⣏⣾⢣⢿⣱⢟⡮⣗⢯⡞⣽⡹⣞⢧⡟⣵⣻⣿⣿⣷⣵⡘⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⠶⠶⠶⠞⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⣖⣿⣿⣛⡧⣟⢾⡹⢮⡟⣵⢻⣜⢯⣳⡝⣾⡹⢮⣗⡻⣜⣯⢳⡞⣭⢷⣫⢞⣳⡽⢮⣽⢺⡵⣛⣮⢽⣣⢟⡾⣹⢿⣿⣽⣎ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣾⣿⣛⣶⢫⢷⣹⡞⣽⣣⠿⣭⡳⣏⡾⣱⡻⣖⣻⡝⣮⣝⣳⢞⡽⣺⡝⣮⡳⣏⢷⣹⡳⢮⡗⣯⣝⢮⢷⣹⢮⡽⣝⡾⣹⣻⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢾⣋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠿⠿⠷⢽⣮⣿⣣⢷⣫⠷⣭⢟⡶⣏⢷⣹⡳⣝⡧⢷⣹⡳⢮⣝⢾⡹⢧⡻⣵⢻⡼⣫⢶⡻⣝⢾⣱⡞⣯⢞⣧⡻⣼⢣⡟⣵⡳⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠬⡙⡷⠯⠿⠼⠯⠾⠽⣮⣷⣹⣧⢻⣝⡶⣻⡝⣮⡳⣏⡯⢷⣭⡳⣝⡧⣏⢷⣫⢞⣧⢻⡼⣫⠶⣏⢷⣫⢽⣖⡻⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⢀⠀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢟⡾⣵⣳⢏⡷⣝⢾⣹⢳⢮⣝⢾⣱⢯⣳⢽⣚⡾⣭⣳⢏⣟⢾⡹⢮⣗⡮⡽⢶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣠⣀⣤⣰⣤⣶⣼⣶⣶⣶⣼⣾⣧⣦⣿⣫⣄⣀⠀⢤⡀⣠⡾⠾⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⢽⢻⣷⣫⢾⣭⣛⡾⣼⢣⡟⣮⢳⣏⡷⣽⢲⣝⣮⣽⣎⣟⣳⢮⣗⡻⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣮⣵⣾⢿⡟⣟⣻⢽⣫⢟⡼⣧⢷⣺⡜⣧⠷⣝⡾⣝⢯⡟⣯⣿⣷⠟⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢻⣿⣳⢮⣳⢽⣺⡭⣟⡼⣏⣾⣵⡿⡛⡉⠁⠀⠈⠘⢭⡻⣮⡽⢶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣯⢿⡿⣹⡳⣏⣞⡧⣟⡽⣎⡷⣫⠾⣝⣮⢳⢧⣻⢭⡟⣽⢺⡝⣾⣹⣽⠟⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⢟⡳⢿⣶⣹⣮⣿⢿⠋⠛⠉⠀⠀⠀⠀⠀⠀⠀⠌⠻⣿⣹ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣜⣻⡿⣿⣸⢇⣿⢣⢿⣸⡜⣧⢻⡼⣣⢟⡧⢿⡻⣜⡟⣧⢻⣜⣻⡼⣻⣼⢟⣿⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⡿⢟⠛⠸⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣣ ⠀⠀⢀⠀⡀⢄⢢⣼⣷⡿⣟⡽⣖⢯⡻⣜⢯⣳⡝⡾⣭⣳⡝⣧⢟⡞⣯⢳⣝⠾⣭⢷⣫⢞⣵⣧⠿⡟⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⣽ ⢀⡁⠢⡐⣼⣾⣿⢯⢯⣽⢺⡵⣫⠾⣽⡹⣞⡵⣫⢷⡳⢧⣛⣮⢟⡾⣭⢻⡼⣏⢷⣯⡾⢿⡫⠃⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟ ⠠⣌⣱⣽⣿⢯⣳⣛⡾⣜⡧⣟⡵⣻⢵⡻⣜⣳⢏⡷⣝⢯⣳⢮⣻⣜⡳⣏⣾⣫⡿⣏⡴⠶⠖⠒⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠀⠀ ⣱⣲⣿⢿⡭⢷⣫⢞⡵⣏⡾⣵⢫⡗⣯⢳⣏⢷⡻⣜⢯⢾⣱⢯⡖⣯⢳⣏⣾⡿⡼⠋⠀⠀⠀⠀⠀⠀⠉⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⠛⠁⠀⠀⠀ ⣳⡿⣏⡷⣛⣧⢟⡾⣹⢎⡷⣭⣗⡻⣼⢳⢮⣳⢽⡹⣞⡽⣎⢷⣫⢽⣣⣿⢧⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠦⢤⣄⣀⣀⣀⣠⣤⣤⣤⡶⠷⡛⠉⠃⠉⠀⠀⠀⠀⠀ ⣿⡻⡵⣏⢷⢮⣻⣜⢯⡻⣼⢳⢮⣝⠾⣭⡳⣏⡾⣝⢮⠷⣭⡷⣟⣾⡯⠯⠤⣼⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣷⢻⡵⣛⣮⢟⡶⣹⢞⣳⡭⣟⡞⣮⢻⡵⣻⣜⣳⡭⣏⣿⣳⠞⠋⠀⠀⠀⠀⠀⠁⢀⡠⠔⠒⢒⠲⢤⠀⠈⠋⠉⠛⠳⢤⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡙⣿⡌⠀⠂⠀⠀⠀⠀⠀⠀ ⡷⣫⢞⡽⣎⠿⣜⡯⣞⢧⣻⢼⣹⢧⣻⢼⡳⣎⣷⣹⢳⣿⠁⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠈⠠⠀⣧⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡰⣦⣷⣶⣭⣕⣦⣢⣡⣍⣤⣤⣠⣴⣴⣾⣄⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⣸⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⡵⣫⢷⡹⣏⡷⣹⡞⡽⣎⠿⣜⣧⣛⡮⣗⢯⡖⣯⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀⠀⠘⡇⡐⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⡀⢀⡐⢠⢄⣭⣶⢿⣛⡶⣝⣮⡽⣛⣯⢿⡹⣏⢿⡹⣎⡷⣎⢿⣻⣮⣔⡍⡀⡀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢡⢸⣇⡀⠀⠀⠀⠀⢀⠠⠀ ⣽⢺⡵⣏⢷⣫⢞⣧⢻⣝⡞⣯⣳⢎⣷⣹⢞⡧⣟⢮⣻⣧⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⣰⠇⠇⠀⠀⠀⠄⠀⠀⢀⣶⡶⣼⣤⢾⡷⢿⡻⢿⣻⡜⣧⢻⣜⣳⣎⣵⣯⡽⠧⠿⠼⠧⠿⣵⣹⣞⣭⡷⣹⢏⡿⣟⣧⣵⣶⣠⣀⣀⣈⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⢸⡧⢃⠀⡀⠠⠁⠠⠀⡄ ⡞⢧⡻⣼⢳⣭⡻⣜⢯⡞⡽⢶⣭⣛⣶⣹⣎⣷⣭⣳⣧⣛⣦⡀⠠⠀⠀⠀⠀⠀⠀⠳⣄⡀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⣠⠏⠀⠐⠀⠀⠀⠀⢀⡔⣾⣿⡹⢧⣏⣷⣹⣗⣿⠷⠷⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠺⢽⣞⡼⣧⣟⡽⣫⣟⡻⣷⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣿⢐⡀⠂⢄⠈⡐⠡⡘⢀ ⠀⠈⢳⢭⡳⣞⡽⣹⢮⣝⢯⣿⣾⠻⠉⠀⠀⠀⠀⠀⠀⠉⠉⠉⢛⢓⣒⡖⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⡀⠀⠀⣀⣠⠞⠁⠈⠀⠀⠀⠀⠀⢂⣸⣾⡟⣧⣟⣳⣾⠖⣛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢳⢾⣯⢷⣭⢻⣽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢻⣦⠀⠅⢂⠘⢠⠁⡒⠄ ⠀⠀⠈⡞⣵⢫⠾⣝⣾⣮⣟⡻⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢐⣮⣿⢳⣝⣶⠟⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣯⣞⣿⣯⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⠣⠈⡄⢈⠂⢡⢂⠡ ⠀⠀⠀⢸⡱⢯⣻⠵⣞⣏⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⠸⣄⠀⡀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⣠⣾⡿⢯⣽⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⠿⣿⡾⣽⣷⣆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠤⢃⠰⠠⠉⡄⢂⠡ ⠀⠀⣾⣖⣻⣝⡧⣿⣹⣧⠃⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⣀⣀⣀⣠⡤⠞⠃⠀⠀⠀⠀⠀⡔⣠⣤⣼⣷⠿⣟⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢀⣠⣶⣾⣿⣿⡿⠙⣿⡷⣺⢽⣻⣮⣄⠀⠀⠀⠀⠀⠀⠀⠘⣿⠐⠠⢂⠡⡑⠠⢃⠂ ⠠⡈⠝⡛⢿⡾⣷⣷⣷⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣲⠢⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢩⣿⣻⣞⢧⣿⣽⡞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⣿⣿⣿⡿⠟⠉⠀⠀⠀⢿⡷⣫⡽⣾⠁⠀⠀⠀⠀⠀⠀⠄⣸⣧⠈⠂⠄⠂⠤⢁⠂⡡ ⠠⡑⢨⠐⠂⡍⣉⠣⠰⢌⠋⠷⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡤⠶⠚⠩⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢣⣿⡟⣮⣻⣽⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠘⢿⡵⣻⡏⠁⠀⠀⠀⠀⠀⡀⣾⠟⠀⠄⡁⢈⠐⡀⠂⡐⠠ ⠠⠁⠆⡈⢡⠐⡀⢂⠁⠢⢈⡐⢠⠂⣉⠛⡙⠳⠚⠶⢛⠛⣿⠉⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢰⡿⣏⢷⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣶⣷⣾⣿⣿⣶⣶⡆⠀⠛⣷⣽⡇⠀⢠⠀⠀⠈⢰⣾⠟⡆⠈⠀⠠⢀⠐⠠⠐⢀⠂ ⢈⠡⢂⡁⠂⠒⡀⠂⠌⡐⠀⠄⠂⡐⢀⠂⠡⢁⠉⠄⡈⠜⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣡⢸⡿⣽⡿⠁⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⠿⠿⠛⠛⠋⠉⠋⠉⠀⠀⠀⣿⢼⡇⡰⡀⠀⢸⠀⣿⢱⠁⠁⠠⠁⢀⠠⠀⡀⠡⠀⠂ ⡈⠆⡆⢀⠁⠶⢀⠉⠰⢀⢁⠈⠰⡀⠆⡈⠁⠆⠰⢀⠆⡁⢿⣿⣀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⣿⢿⡿⠁⢀⣾⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠿⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣾⡿⠆⠁⠀⢸⢀⡿⣸⡀⠈⡀⠆⢀⠰⠀⠰⢀⠈⡀ ⠰⢈⠰⢈⠂⠅⢂⠌⡐⠄⠂⢌⠡⠐⠤⠐⡉⢂⠅⠊⡄⡑⢪⡜⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣹⣿⣹⠇⠀⠀⠉⠉⠉⠉⠛⠙⠛⠛⠿⢿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⢶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣽⣿⡟⠀⠀⣸⣾⢧⠏⠁⠐⠀⢈⠠⢀⠂⢁⠂⡐⢠ ⢡⠊⡔⠢⣁⠊⡄⢒⠠⢊⠌⡰⢈⠜⡠⢃⠔⣈⠰⢁⠂⡅⠪⢔⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢠⢳⣿⢧⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣿⡿⠁⠀⢀⢆⣿⠟⡐⠠⢈⠐⠈⠄⡐⢀⠢⠐⠌⠰⡁ ⢢⠑⡌⢒⠠⢃⠜⡠⢃⡌⢢⠑⡌⢒⠰⣈⠒⡄⠣⢌⠒⡌⡑⠆⠼⣧⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⡿⣏⡾⣏⢉⠀⠀⠀⠀⢀⣠⣶⣾⣿⣿⣿⠿⠟⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣶⣾⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣏⠤⢀⣼⡾⡛⠥⠂⢄⠁⠂⠌⡐⠠⠐⡀⠆⡉⠄⢃⠐ ⢂⡓⠬⣁⠓⡌⢢⠑⢢⠘⡄⢣⠘⡄⢣⠄⢣⠌⡱⢈⠒⠤⡑⢌⢣⢻⣎⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠈⣿⣯⣷⣯⠈⠀⠀⠀⣴⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⣀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⣼⡿⢛⡑⢢⠁⠂⠅⢂⠘⡀⠒⠠⢁⠂⡅⢒⡈⠜⡠⠃ ⠣⣌⠱⡄⢣⡘⠡⢎⡡⢚⠌⣆⢓⡘⣆⣍⢆⡚⡄⢃⢎⠱⣌⡆⣹⢮⢹⣿⣆⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡘⣿⣾⣿⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⣩⣾⠿⣃⠂⠌⠄⡌⢁⢊⡐⢂⠡⠌⡑⣈⠒⢌⠢⠜⢢⢁⢃ ⡱⢈⠖⡘⢤⢣⡙⢦⡱⣋⠞⣬⡳⣛⠴⡌⢣⠱⡌⠣⢌⠛⣋⠔⡉⢆⢂⢛⡿⣶⡵⢀⠀⠀⠀⠀⠀⠀⠈⠀⠃⠛⣿⣾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠛⠋⠁⠀⠀⠀⣀⡴⠖⠚⠋⠛⠒⠤⣄⠀⣠⡴⢞⣡⣷⢿⡉⠆⠤⠑⢌⠰⣀⠃⡄⢢⠁⢎⡐⢡⠢⡘⢄⡃⠚⣄⠪⣐ ⠥⡋⠴⣉⢦⢣⡝⢦⡓⣭⠚⡥⢛⢌⠲⣈⡑⠦⡘⢡⠊⡜⢠⠊⠅⠆⡌⢂⠆⣹⠟⣷⣮⣁⠀⡀⠀⠀⠀⠀⠀⠀⢾⣷⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣟⡋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠈⢿⣯⣼⣿⠻⠥⠆⠼⠐⡌⡘⢠⠒⡠⢑⡈⢆⠩⢄⠢⣅⢒⡡⢒⠌⣣⢂⠳⠤ ⢢⡙⠦⡱⣈⠧⡘⡥⢚⠤⢋⠴⡉⢆⡱⢠⠘⡄⠱⢂⡱⠈⢆⠩⠘⣄⠢⢁⠎⢠⠙⢢⠙⣽⢿⣿⡐⣇⠀⠀⠀⠀⠸⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⠉⠀⠀⠀⠀⠉⠑⠦⡀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣻⢿⣽⡸⢈⠆⡱⢠⢑⢢⡑⢄⠣⢌⠢⣑⢊⡱⣐⢊⠴⣉⠲⢄⡋⢖⡩ ⠦⣑⢣⡕⡎⢶⡙⠴⣉⠦⡉⠦⡑⢎⠔⡡⢊⠔⡉⢆⠰⡉⠔⡨⠡⠐⡌⢂⠌⢂⠌⡐⠢⠄⣿⢿⣿⣄⡀⠄⠀⠀⠀⠑⠛⠻⣿⣿⣷⣤⡀⠠⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⠈⢿⣗⠫⠴⣁⢎⣼⡢⣌⠳⣜⢢⠓⣌⠲⡰⢌⢎⠲⣌⠱⣊⠜⣢⠱ ⡚⡬⠳⡜⡭⢲⣉⠓⡌⢢⠙⡄⠣⢌⠢⡑⢌⠢⡑⢌⠢⡑⠌⡡⢁⠣⢈⠆⡘⢄⠊⡔⠡⢊⡘⢒⢂⡻⢿⣶⣤⣐⠂⢀⠀⠠⢀⢻⣿⣿⣿⣷⣦⣤⣄⣤⣤⠤⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣶⣴⣶⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢡⢀⣿⣿⣭⣷⣎⣾⢷⣿⣜⣳⣯⣷⡹⢄⠳⡑⡎⣌⠳⣌⠳⡌⠞⣤⢓ ⡙⣌⠳⣡⢃⠧⡐⡍⣐⠣⡘⠤⡙⢄⠣⡘⢄⠣⡘⢄⠣⡐⢡⠂⠥⢘⢰⠄⡡⢊⠰⠠⡑⢂⠄⣃⠢⢘⡈⢓⠫⣝⠻⠶⠾⡶⣿⣬⠿⠷⠿⠾⠿⠟⢋⠀⢀⢂⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢾⠻⣿⠃⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣲⠏⡀⠀⢛⣿⣶⣿⣿⣿⣿⣿⣏⣿⡟⢯⡜⢪⡱⡱⢚⡔⣣⢌⢳⡘⡭⢢⢍ ⡔⣨⠒⡄⢎⠰⣁⢒⠡⢆⡑⢢⠑⡨⢐⠡⢊⠔⢡⠊⡔⢡⠂⡍⠒⢌⢺⠤⢁⠆⢢⠁⢆⠡⢊⠤⡘⠤⡘⠤⣉⠙⣇⢣⣻⡿⠋⠐⠀⠀⠀⠀⠂⠈⠀⣀⡞⢾⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⣸⡀⢽⣆⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣿⠀⠁⠀⠀⢉⣿⡯⢟⡳⣍⠳⡼⣾⢙⡲⢜⠣⣕⠣⣇⡚⠴⡩⢆⡣⡕⣣⢎ ⡔⢄⢣⠘⠤⢃⠔⡊⢅⠢⡘⢄⠃⠦⡑⢌⠢⡘⢄⠣⢌⠢⡑⠤⡉⢆⡘⠢⢌⠒⠤⡉⢆⠱⣈⠒⡄⢣⠐⡡⢂⢹⣽⣺⡿⠡⠀⠀⠀⠀⠀⠀⠀⠀⢎⢿⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⡿⢠⣿⣻⠎⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⡿⢠⠐⠀⢠⠂⣼⣷⣋⢖⡩⣓⡒⢦⢋⡴⢋⡵⢊⡳⠴⣉⠧⣓⡱⢜⠲⢥⢚ ⠒⡌⢢⢉⠒⡉⢆⡉⢆⠱⡈⢆⡉⢆⠱⡈⢆⠱⣈⠒⡌⠔⡡⢆⡑⠢⢌⠱⡈⠜⣠⠑⡌⠒⡄⢣⠘⡄⠓⣄⢣⣫⢧⣿⠤⢁⠀⠀⠄⠀⡀⠀⠠⠀⠀⢀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠓⣠⢰⣿⠏⠳⣯⣴⣿⣤⡀⠀⠀⠀⠀⠀⠀⢀⣾⣷⣬⣧⣔⣊⣾⣿⢻⣹⢌⡓⢦⡙⣎⠵⣊⠷⣘⠧⣍⠳⡥⣚⡱⢜⡪⢝⢪⡱ ⢣⠘⡤⢃⠎⣑⠢⠜⡠⢃⠜⡠⠜⡠⢃⠜⣠⠃⢆⡱⠨⠜⣐⠢⢌⡱⢈⢆⠱⡉⣄⠣⢌⡱⢈⠆⣣⢘⢡⣲⣋⢖⣿⡿⠉⠀⠀⠄⠀⠂⢀⠠⠁⢀⠂⠈⢣⢑⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣞⢃⣧⣶⠟⠁⠀⠀⠈⠳⢦⣬⣽⠷⠶⢤⢶⣴⣾⣿⣻⣿⣹⣾⣷⢿⡟⡼⢻⡱⢎⡝⢦⡹⣘⢮⡱⢎⡵⣚⢬⢳⡑⢦⡙⣎⠵⣊⠧⡜ ⢣⢑⢢⢃⠚⣄⠳⢨⡑⡌⢆⠱⡘⢄⡃⢎⠤⡙⠤⢒⡩⠜⣠⠃⢎⡰⢉⢆⡱⠌⡤⠓⣌⠰⣉⠖⣠⢃⡞⣷⣛⣾⠟⠌⠠⢈⠠⠐⠈⡐⠀⠠⠐⠀⠠⠐⣨⠘⣺⠀⠀⠀⠀⠀⠀⣀⣠⣴⡟⣛⣛⣯⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣽⢫⠟⡽⢿⡹⢏⢶⣩⠳⣍⢞⡱⢎⡳⢲⡍⢶⡙⣎⠶⣩⠞⣦⢹⢲⡹⣌⡳⣩⢖⡩ ⠣⡜⡰⢊⡱⢌⠲⣡⠒⡜⡨⢆⡉⢖⡘⣌⠲⣉⠜⣡⠒⡩⢄⣋⠲⠌⡥⢊⡔⢃⠖⡩⢄⠳⡨⠜⣄⠣⣹⢿⣳⣿⠸⢀⠁⠠⠀⠌⠀⠄⡈⠐⠠⠁⢂⢐⣿⢢⡿⠶⠤⠶⠶⠚⠋⠉⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣿⢌⢧⡛⣜⢣⡝⢎⠶⣡⠟⣜⠮⡕⢯⡜⢧⠺⣥⢛⡬⢳⢥⡛⡴⣋⠶⡳⣌⢳⡱⢎⡵ ⡓⢬⡑⢣⠜⣌⠓⡤⢋⠴⡑⢎⡜⢢⡑⢆⠳⣌⠚⡤⡙⡔⢣⢆⡹⡘⡔⢣⠜⡡⢎⡱⢊⠵⣡⠓⣌⠲⡡⣾⡼⣿⡐⢂⠈⠄⡁⠂⠌⡐⢀⠁⢂⢁⢢⠞⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣿⢾⢲⡍⣜⢣⠞⣭⢚⡥⣛⡜⣣⡝⢶⡙⣎⠷⣌⡳⣜⢣⢮⡕⡻⣜⠳⣝⣬⢳⡙⣎⠶ ⡝⢢⡙⢦⡙⢤⢋⠴⣋⠖⡩⠖⡌⠧⡜⢪⠱⣌⠳⡌⠵⡸⢡⠎⡴⡑⢎⡱⢊⡕⢎⠴⣋⠖⣡⢋⡔⡣⣕⢺⣽⣿⣧⣦⢈⡐⠠⢁⠂⠰⡀⣎⣤⣧⡶⠟⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣯⣿⡹⡜⣬⢣⠟⣬⢫⢼⡱⣚⠵⣚⠧⡽⣌⠟⣬⢳⡼⢭⡲⣍⢷⣸⣛⡼⢎⡷⣹⠮⣝ ⡍⢳⠘⣦⠙⡆⠋⡖⢡⡞⢡⡏⣼⠑⣮⠑⣧⡌⢳⢸⢱⠑⢫⡜⢲⠉⡞⢰⠋⣼⠘⣦⠃⡞⢡⢳⡜⢱⡎⢹⡜⣾⢻⣿⣧⢲⣥⢪⣬⠓⣴⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣧⡟⣧⡝⣦⠋⣾⢡⡏⣶⡍⢳⢫⣵⠋⣷⡎⣿⡜⣧⢻⣼⢱⡏⣾⢱⣮⡝⣯⡞⣵⢻⡜ ⣝⢪⡕⡎⡵⢪⡝⣘⠧⡜⣣⠜⣦⡙⢆⢯⡰⡙⢦⢣⢣⢛⢦⡙⢦⢛⣌⢳⢪⢥⡛⡴⢫⡜⢭⠲⣍⠳⡜⣧⡝⣎⡳⢿⣻⣷⣾⢿⣾⡷⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣿⣽⣟⡳⡵⣊⢿⡰⢏⡞⣥⢻⡭⣞⣥⣛⢶⡹⢶⣙⢮⡳⣎⢷⡹⣎⠷⣎⢷⡹⣞⡵⣫⢽ ⣎⠳⣜⡱⢎⡳⣸⠱⣎⠵⣃⠯⡴⣙⢎⠶⣱⠹⣌⢧⢋⡞⢦⡙⢮⡱⢪⡕⣫⢖⡹⣜⢣⠞⣥⢛⡬⢳⡹⡜⣜⢦⡝⣳⡜⢶⡹⣎⢷⡹⣧⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⡞⣵⢫⢶⡹⢶⣩⠟⣼⣱⢳⡞⢶⡺⣜⢧⣛⢧⣛⢮⣳⠽⣎⡷⣽⣫⡽⣞⡽⢮⢷⣫⣟ ⣎⠳⣌⠳⣍⠶⣡⡛⡴⢫⡜⣣⠵⣩⢎⡳⢥⡛⡬⢎⡳⣜⢣⡝⣣⡝⣣⢞⡱⢮⡱⢎⡧⣛⡴⣫⡜⣧⢳⡝⣞⡼⣚⡵⣚⢧⡻⣜⢧⡟⣯⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣝⢮⡳⣏⡽⣲⢧⣛⠶⣭⢳⡝⣧⢻⡜⣧⢯⡯⡽⣞⣳⣻⢽⣞⡷⣽⣳⢯⣻⢯⣷⣛⡾ ⣎⠳⣍⡳⢎⡳⢥⡛⣜⣣⠞⣥⡛⡴⢫⣜⢣⡽⣘⢧⠳⣬⠳⣜⠵⣺⡱⢮⡝⣶⡹⣝⢶⣹⣚⡥⢿⡜⣧⢻⡜⣾⡱⢯⡝⣾⡱⢯⣞⡽⣭⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣿⢮⢷⡹⣎⢷⡹⢮⣝⡻⣜⣧⢟⡞⣧⣟⢾⣣⣟⣷⣫⢷⢯⣟⡾⣽⣳⢯⡿⣭⡷⣯⢿⣽ ⡮⡝⡼⣱⢫⡝⢮⣙⢦⢧⠻⣴⡹⣱⢏⡼⣓⡞⡵⣎⢟⣲⠻⣜⣫⢵⣫⢷⡹⢶⣹⢮⡳⢧⣻⢼⣻⠼⣏⣷⢻⣖⡟⣯⣽⢳⣻⡽⢮⡿⣭⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣿⣿⣏⡷⣛⣮⢟⣽⡺⣝⣾⣹⠾⣽⣳⣞⣯⢷⣻⢾⡽⣯⣟⡾⣽⣳⣯⢿⣽⢷⣻⣽⣻⣾ ⢷⡹⣜⣣⠷⣹⢣⡝⣮⠞⣝⢦⣝⣣⢏⡾⣱⢻⡼⣹⢎⡷⣫⢷⣹⣎⢷⡮⣟⡽⣮⢷⣻⡽⣭⢷⡯⢿⣝⡾⣏⡾⣽⣳⣭⣟⣧⢿⣻⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢓⣿⣿⣻⣞⡽⣞⣻⢮⣟⡽⣶⢯⣟⡷⣽⢾⡽⣯⣟⣯⣟⣷⢯⣿⢯⣷⡿⣯⣟⡿⣯⣷⣿⣽ ⡷⢳⢮⡵⢫⡗⣯⢞⡵⣻⢎⡷⢮⣳⢏⡾⣭⡗⣯⡽⢾⣱⡟⣮⠷⣞⣯⢾⡽⢯⡷⣯⢷⣻⡽⣯⣽⣻⢾⡽⣏⣿⣳⡽⣞⣧⣟⣯⣿⣿⣿⣿⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣸⣧⡄⡄⢀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣤⣿⣿⢯⣷⢾⡽⣯⣟⡿⣾⡽⣯⢿⣾⣽⣯⢿⣻⣷⢿⣻⣾⢯⣿⣟⣿⣯⣿⣿⣻⣿⣿⣽⣾⣿ ⡿⣹⢮⣽⢳⣛⣮⢿⣹⢧⡿⣹⢯⡷⣯⣟⣧⣟⣷⣻⢯⣷⣻⣽⣻⡽⣞⣯⣟⣯⢿⡽⣯⢷⣻⢷⣯⣟⣯⢿⡽⣞⣷⣻⡽⣾⡽⣾⣿⣿⣿⣿⣅⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣿⣿⣿⣿⣿⣾⣵⣶⣴⣢⣶⣴⣾⣿⣿⡿⣽⡿⣾⢿⣽⡷⣯⣿⣷⡿⣟⣿⣾⣷⡿⣿⣿⣽⣿⡿⣿⣿⡿⣿⣿⣽⣷⣿⣿⣯⣿⣿⣿⣿ ⣿⡽⣯⣞⣯⣟⡾⣯⣟⣯⢿⡽⣯⢷⣟⣾⣳⣟⣾⣽⣻⣞⣷⢯⣷⣟⡿⣾⣽⡾⣿⣽⣟⡿⣯⣿⡾⣽⣾⣟⣿⣽⡾⣯⣿⢷⡿⣟⣾⡿⣿⣿⣿⣮⡐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⣱⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣿⣿⢿⣿⣿⣷⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣛⣙⣓⡛⡞⣛⣛⣓⡛⣞⣛⣛⣛⣛⣛⣛⣛⣛⡳⣛⣛⣛⣛⣛⣛⢞⣛⣛⣳⢛⣛⣛⣞⣛⣛⣳⣛⣛⡳⣛⣛⣞⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣻⠑⣦⠳⣒⢒⠲⣐⣒⠒⢦⠒⣤⣉⢞⣛⣟⣻⣛⣟⣻⢛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⣛⡛
⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛ ⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛ ⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛ ⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜ ⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪⬛🟪🟪⬛⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪🟪🟪🟪🟪🟪⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪🟪⬜🟪🟪🟪⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪⬜⬜⬜🟪⬜⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪🟪⬜🟪🟪🟪⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪🟪🟪🟪🟪🟪⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛🟪🟪⬛🟪🟪⬛⬜ ⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜ ⬛⬛⬛⬛⬛⬛⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬜⬛⬜⬜⬜⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛ ⬛⬛⬛⬛⬜⬜⬛⬛⬜⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛ ⬛⬛⬛⬛⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛ ⬛⬛⬛⬛⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬛⬛⬛⬛ ⬜⬛⬛⬛⬜⬜⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬛⬜⬜⬛⬛⬜⬜⬜⬛⬛⬛⬜ ⬜⬛⬛⬛⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬛🟪🟪⬛⬛⬛⬜ ⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜🟪⬛⬛⬛⬜⬜ ⬜⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬛🟪🟪⬛⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬛🟪⬛⬜⬜⬜⬛⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜
⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣠⠔⠋⠁⠈⠳⡄⠠⠚⠤⣤⠈⠀⣼⠀⠠⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⣄⠀⠀⠀⡇⠀⠀⠀⠀⣠⠃⠀⠀⠀⢸⠖⠒⠛⠀⠉⠉⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡽⠉⠈⠑⠒⠒⢊⠁⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⢸⠦⣄⠀⠤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠑⠦⣀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⢊⡵⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠓⠢⠤⠤⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠒⠒⠲⠶⠮⠭⠐⠋⠁⠀⡴ ⠀⠀⠀⠀⢀⠀⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀ ⠀⠀⠀⢀⡿⠂⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀ ⠀⢀⢰⡋⠀⠰⠏⠀⠀⠀⠀⠀⢀⣀⠤⠄⠒⠒⠀⠀⠀⠀⠀⠐⠒⠢⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀ ⠈⠐⠚⠁⠀⣾⠀⠀⠀⠀⡠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀ ⣀⠀⠠⡦⠀⢸⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀ ⠉⠓⠤⢤⡤⢻⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⠀⢸⡀⠈⣆⡞⢾⣄⠀⠀⢀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀ ⠀⢀⡀⠀⣹⠆⠸⣧⠀⠙⠛⠛⠛⠁⠀⠀⠀⣴⣶⣦⠀⠀⠀⠀⠀⠀⠀⢠⣤⡀⠀⠀⠀⠀⠀⡀⠀⢣⠀⠀⠀⠀⠀⠀⢀⠀⠀ ⠀⠀⢙⡾⣷⠶⣴⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⣤⣤⣶⠾⠛⠀⢸⡄⠀⠀⠀⠀⣠⠃⠀⠀ ⠀⡠⠋⠀⠘⢄⣀⣩⣬⣤⣤⣤⣤⣤⣬⣭⣉⣀⡒⠢⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⢀⣾⠁⠀⠀⠀ ⠠⠃⠀⠀⠀⠈⡇⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠁⠛⠛⠶⠶⣤⣍⣒⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⢀⣤⡾⠋⡼⠀⠀⠀⠀ ⢠⡆⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⠏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣳⠾⠿⠍⠉⢉⠀⠀⠀⠀⠀ ⠀⠘⢆⠀⠀⢴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣀⣀⣀⣀⣀⣀⣀⡤⠴⠛⣿⡗⢀⣤⣄⣠⠂⠀⠀⠀⠀⠀ ⠀⠀⠈⢦⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⢀⡀⠀⠚⠋⠁⠀⡠⠚⢷⠿⠍⠛⠚⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⠑⢄⣸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⡀⠉⠁⠀⠀⣀⡠⠔⠋⠀⠀⠀⠣⡀⠈⢹⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢘⣦⡤⢧⡸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠓⠒⠒⠊⠻⡀⠀⠀⠀⠀⠀⠀⠀⠙⢏⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠉⠀⠈⠉⢿⡏⢲⡤⠤⢤⠤⣄⣀⣀⡀⠀⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢙⡏⠀⠀⠘⠀⠀⠀⠀⠉⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡗⢄⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⡟⠛⠛⠛⠓⠒⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⢳⡀⠀⠀⠀⠀⠀⠀⣸⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⡇⠈⠲⠤⠔⠒⠐⠊⡁⠀⠀⠀⠀
⠀⠀⢀⣠⠤⣄⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠉⠙⡄⠀⠀⠀ ⠀⡴⠏⠀⠀⢸⡵⢤⠖⢢⡀⠀⣰⠋⠀⠀⠀⢀⡇⠀⠀⠀ ⢸⠀⠀⣠⠆⠘⡦⠨⠕⢘⡗⠤⠃⠀⠀⠀⠀⡼⠀⠀⠀⠀ ⠘⠢⠚⠙⢤⠀⠓⢒⣋⡉⣀⣀⣀⣀⠀⠀⠼⣁⠀⠀⠀⠀ ⠀⠀⢀⡴⠋⡴⠊⢡⡄⠀⠀⠀⠀⣼⡙⢦⡀⠀⢱⠀⠀⠀ ⠀⠀⡎⠀⣞⡠⠤⢾⠇⠀⣀⡀⠀⠻⠁⠀⢹⠀⣸⠁⠀⠀ ⠀⠘⣇⠄⡿⡀⠀⢨⠃⠀⠟⠀⠀⠈⠈⢀⣼⡴⠋⠀⠀⠀ ⠀⠀⠈⠙⠻⣳⣀⠀⠳⡤⠤⣤⠤⠤⠖⠋⡹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⠋⠹⣆⠀⠈⢉⡏⠢⣀⠀⡰⠱⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⢙⢆⣠⠞⠒⠒⠛⢦⡀⠈⣭⠁⠀⠹⣤⡀⠀⢠ ⠀⠀⠀⠀⠘⠂⠀⠀⠀⠀⠀⠀⠈⠉⢇⣀⣀⠤⠻⠤⠴⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⢀⠀⢀⢤⣶⣿⣿⠿⢿⣮⡂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣿⡿⢿⡿⣿⣾⣿⡿⠛⠁⠀⠀⠀⢻⣷⠆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⡿⣿⣿⣶⣶⣤⣄⣤⣴⣶⣾⣿⣿⣿⣿⣿⢯⣽⡳⣯⣽⣻⣿⣦⣀⡀⠀⢀⣀⣼⣿⣟⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⠀⠀⠀⠉⠉⠛⠛⠛⠋⠉⠁⠀⠀⠀⣿⣿⣯⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⢻⣿⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣷⢯⡞⣿⣿⣾⣿⡟⣮⡗⣯⢿⣿⣷⡿⡼⣏⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣧⢟⣧⣿⣿⣿⣽⣳⡽⣫⣿⣿⣿⣿⡽⣽⣾⡿⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣧⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⠟⠛⠉⠙⠻⠿⠿⣿⣿⣟⢯⡷⣽⣿⣿⣁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⢿⠿⠟⠋⢿⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣘⣿⣮⣤⣤⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠛⣿⡏⠉⠉⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⡀⠀⠀⠀⠀⢀⣀⣿⣷⣂⣤⣤⠀ ⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⣶⣶⡦⠀⠀⠀⠀⣼⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠟⠉⠀⠈⠀⠀⠀⠀⠀⠈⢉⣿⣏⠋⠉⠑⠀ ⠀⠀⠀⠀⠘⠛⠉⠉⠉⢿⣧⡀⠀⠀⣀⣀⠀⠹⣿⡟⠀⠀⠀⠀⠀⠀⢰⡾⠿⢷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣾⣿⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⡿⣿⣿⡿⢿⣷⡀⣿⣿⣿⣿⣿⣷⠀⠀⣸⣿⡾⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠿⠿⣿⡿⡆⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⡿⠋⠀⠀⠀⠀⠀⣠⣿⠟⣻⣿⣿⣿⣿⡟⠛⠛⠛⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢼⣿⠀⠀⠀⠀⠀⠀⢠⣿⣧⣾⡿⣿⣯⣿⣿⣿⣷⣤⣤⣤⣿⣇⣀⣀⣠⣤⣶⣶⣶⣦⣴⡿⡟⠏⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣷⣤⣄⣠⣤⣶⡿⠋⣿⡿⣿⡟⠉⠉⢻⣿⣿⣿⠈⢸⣿⠟⠛⠛⢻⣿⡉⠀⠀⠉⠻⣿⡥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⣤⣶⡶⢿⣿⢿⡿⣿⠉⠀⠀⢿⣿⢿⣷⣤⣠⣾⣿⣿⡿⢀⣾⡿⠀⠀⠀⠈⣿⣧⠀⠀⠀⠀⣿⡇⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⣼⡿⠻⠃⣩⣿⡿⠃⠘⣿⣄⠀⠀⠈⠻⣿⣯⣟⣿⣽⣿⠟⠁⠸⣿⡅⠀⠀⠀⠀⢸⣿⡆⠀⢀⣴⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⡟⠁⠀⢀⣼⡿⠗⠀⠀⠀⠊⠟⠛⠻⢟⣿⣿⡿⡿⡿⢿⡿⢿⡿⣿⢿⣷⣄⡀⠀⠀⠀⣿⣿⣶⣿⣿⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⣧⣤⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡱⢣⡝⣣⢞⡱⣚⠴⣫⠝⡿⣿⢿⡿⣿⢿⡛⣏⢳⢺⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠹⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢧⡙⢧⡚⡵⢪⠵⣩⠞⣥⢛⡜⢦⣋⠶⡱⢎⡵⣊⢧⣋⣿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣾⣿⣣⣝⡲⡹⣜⢣⡛⡴⣋⠶⣭⣾⠱⣎⢳⡙⣎⠶⣩⢖⣱⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠿⣿⣿⣿⣿⣧⣿⣤⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣇⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⣹⡏⠀⠉⠁⠀⠀⠀⠀⠀⠀⢰⣿⣝⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢚⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢯⢻⢫⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠟⣿⣶⣤⣤⣤⣤⣤⣤⣤⣾⣷⣤⣤⣤⣤⣤⣤⣶⡾⡟⠗⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠘⠛⠋⠛⠙⠛⠋⠈⠁⠙⠛⠛⠛⠛⠉⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠥⢣⡉⢦⠱⣈⠦⡑⡌⠦⡑⢎⡔⢣⢍⡛⠷⣾⣰⡉⢖⡱⢊⡖⡱⢎⡜⢦⡙⢦⡙⢦⡙⡼⢌⡣⡝⣬⢣⡝⣬⢋⡟⢿⣼⣡⢏⡼⣡⢏⡼⣘⢦⡙⢦⡙⢦⡙⢆⠳⡘⢆⠳⡘⢆ ⡃⢧⠘⡆⢓⡌⡒⡱⡘⠦⣙⠢⡜⡡⢎⡜⡱⢌⡛⢿⣶⣥⣋⠴⡙⢦⡙⢦⡙⢦⡙⢦⣙⠲⣍⠶⣙⠴⡣⢞⡴⢫⡜⣣⠮⣝⡿⣶⣵⣊⠶⣉⠶⣙⢦⡙⢦⡙⡬⢣⡙⣌⢣⡙⢎ ⣑⠊⡵⢈⢇⡰⢡⠱⣌⠱⣂⠳⢌⡱⢊⠴⡑⢎⡜⠲⣌⡛⡟⣾⣍⡶⣩⢖⡹⢆⡝⣆⢣⢏⡲⡹⣌⢳⡙⢮⠜⣣⡾⠗⠋⠉⠉⠛⢾⣛⢷⣭⣚⡱⢊⡜⢦⠱⣡⠓⡜⢤⠣⡜⠬ ⡄⢫⠔⣩⠢⢌⡱⠒⣌⠱⢢⠍⢦⠱⣉⢖⡩⣒⠬⡓⠴⣉⠶⡑⠮⡝⣷⣮⣳⢍⠶⣌⠳⣎⠵⡳⢬⢧⣙⣮⠟⠉⠀⠀⠀⠀⠀⠀⠈⣿⡲⢿⡹⢷⣯⣘⢦⡙⢤⢋⡜⢢⠓⡬⢓ ⠹⣦⣝⡠⢓⠬⢰⢉⠦⡙⡢⠍⣆⣳⣬⡶⠷⢾⢛⠻⣛⢛⡛⡛⣟⢷⣾⣣⢛⡿⣶⣍⡳⡬⣗⣽⠿⠞⣫⠖⠋⠉⠳⣄⠀⠀⠀⠀⣠⣿⢏⢣⡱⢊⠖⣹⢳⢮⣗⠬⡜⣡⢋⠴⣉ ⡝⢢⠜⡹⢳⣮⣅⢎⣲⣵⠷⢟⡛⠭⡡⢌⠳⡌⢎⡱⢌⠦⡱⠱⣌⠢⡜⠹⣷⣞⣌⢻⢻⣷⠟⠁⠀⠀⣿⠀⠀⠀⠀⢸⡆⠀⣠⣾⢋⡴⢊⠵⣬⣍⣾⣤⣳⣌⡙⠿⢶⣥⣎⠲⡡ ⢌⠣⡌⢥⢣⣼⠿⡛⡍⢦⡉⠖⡬⢱⡑⠎⢦⢙⣦⣵⣎⣖⣩⣗⣤⡓⣌⠳⢌⢿⣎⣧⡟⠁⠀⠀⠀⠀⠘⣄⡀⠀⢀⡴⠋⠛⢿⣄⣣⣮⠟⠛⠉⠀⠀⠀⠈⠹⣮⡑⢎⡜⢹⠳⣥ ⢌⢒⣡⣾⠟⡡⢎⡱⡘⢦⡙⡜⡰⢃⡜⡉⢶⡟⠁⠀⠈⠛⠀⠀⠉⠻⡴⣉⠎⢦⢩⡙⡛⠶⣦⣄⡀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⢺⠆⡜⣡⠓⣌ ⢌⢢⡿⣁⠎⡔⢣⠒⡍⢦⠱⣌⠱⣃⠦⢹⣘⣧⡀⢠⡞⠩⣹⡆⢀⣴⠷⣡⠚⡤⢣⠜⣡⠓⡴⡘⠹⠷⠶⠶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢏⢃⠞⡰⢡⠚⡤ ⠢⣹⡗⢤⢋⡜⣡⢋⠜⣢⠓⣌⡱⣆⣮⢿⣾⡟⠁⠀⠙⠒⠚⠁⠀⠈⣗⢢⡙⡔⢣⠚⡤⢋⠴⣉⢣⡙⣌⠓⡬⢨⡙⢟⡶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢫⠌⡎⡜⣡⢣⡙⡔ ⠱⢌⢿⣶⣨⣔⣢⣎⣼⡴⣿⢾⣽⣯⣿⣿⠟⣧⡀⠀⢀⣴⣄⠀⣀⡼⢛⠤⡓⣌⢣⡙⠴⣉⠖⡡⢆⡱⢌⡚⢔⠣⡜⣡⢚⢫⣷⡀⠀⠀⠀⠀⠀⠀⣠⢟⡡⢃⠞⡰⡑⢆⠣⡔⣡ ⡑⢪⠰⣉⠟⠿⠷⠿⠾⢟⡻⣋⠟⡵⣺⡇⠲⣌⠻⡙⢋⡅⢮⡋⢍⠲⣉⠖⡱⢌⠦⣙⢢⡑⢎⡱⢊⡔⢣⠜⣌⠓⡜⢤⠋⣆⢫⣿⡀⠀⠀⠀⣠⣾⣝⡢⢅⠫⣌⠱⣉⢎⡱⡘⡤ ⠷⣌⠦⡙⡔⢢⠒⡔⢢⡜⣡⠫⣔⢧⣿⢑⣦⡽⠶⠷⠚⠷⠮⢵⣜⣢⡙⡔⠣⡜⢤⢋⡌⠳⣌⠣⢎⡱⢺⡔⣩⢒⡱⢌⠲⣉⢎⣹⣧⠀⢀⣴⡿⣟⠹⣳⢾⣤⡙⠦⡙⣌⢣⢣⠱ ⢢⢍⡺⣵⣎⡥⣋⠜⣡⠚⣤⠳⣜⢺⣧⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣵⣘⠢⢎⡘⡱⢄⡋⠖⡬⢹⡗⢢⠣⡜⡌⡓⣌⠲⡄⢿⣶⡿⢫⠜⡤⢓⠦⡩⢝⡻⢧⣳⢌⢆⠣⣍ ⣶⠻⣙⠤⡩⢝⠷⣯⣔⡍⢆⡳⢌⡻⡟⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣎⡴⢑⠪⠜⡱⢌⡍⣿⡡⢓⡜⡰⠱⡌⡓⡜⢢⢻⣎⠕⡪⢔⡩⣒⠱⣊⡜⢥⢛⠻⢮⣵⡨ ⢃⠳⣌⠲⣉⢎⡜⣌⠛⡿⢾⣔⣫⡾⢻⡞⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣎⠱⣉⠖⡡⠎⢿⣌⢣⠒⡥⢓⠬⡱⢌⢣⠚⣿⣌⠱⣊⠴⣡⢣⠱⡘⢦⡉⢞⢢⠆⡽ ⣍⠲⣌⠳⣌⠲⡜⢢⢛⡌⣇⢿⡟⠀⠀⢷⡄⢹⠳⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣈⢎⠱⣹⢸⣿⢢⡙⠴⣉⠖⡱⢊⠦⣩⣹⣦⠓⡥⢚⠤⣃⠧⡙⢦⡙⡜⣢⠹⡰ ⢆⠳⣌⠱⣌⠳⣘⡱⢪⠔⣎⣾⠀⠀⠀⠀⣻⣜⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⢎⡱⢂⣿⣿⣧⡜⡱⢌⢎⡱⣉⠖⣡⠱⣿⢍⠲⣉⠖⣡⢎⡱⢢⡑⢎⡔⢣⠱ ⢎⡱⢌⠳⣌⠣⠵⣘⠥⣚⠴⣺⣳⣤⣤⡾⣛⡹⣷⣄⠘⠿⠂⠀⠀⠐⠶⣤⣀⣀⠀⠀⡀⠀⡀⢹⠶⢱⣹⣿⡾⣿⣷⡘⡌⢦⠱⣌⠚⡤⢃⣽⡏⡕⢪⠜⡢⢎⡔⢣⠜⣡⠎⡥⢋ ⠦⡑⢎⡱⢌⡣⢏⠴⣋⠴⣋⠴⣙⢖⡣⢞⡡⢣⢓⡞⢿⢦⣤⡀⠀⠀⠀⠀⠉⠟⢟⠳⠶⢀⡇⣸⣫⣶⡿⢋⣾⡹⣿⣷⡜⣢⠓⣌⠳⢌⠣⢼⡿⣈⢇⡚⡱⢊⡜⡡⢎⡱⢊⡴⢩ ⢣⡙⢦⠱⣊⢖⡩⢖⡩⠖⣍⠮⣱⢊⡵⢊⡼⢡⠇⣎⡱⢎⠲⣙⠻⠶⣦⣤⣄⣀⣸⣀⣉⣨⡶⠿⠛⢁⣴⠻⣄⠣⡽⣿⡿⣧⡝⡤⢋⠬⣃⣿⣝⣷⣾⣴⢡⠓⡬⡑⢎⡔⢣⠜⣡ ⡣⢜⢢⢋⡴⢪⠱⢎⡱⣋⡜⡲⢥⡓⢬⠓⣌⠣⠞⡤⢓⠬⡓⣌⠣⣍⣱⢭⡏⠀⠀⠀⠀⠀⠀⢀⡴⠯⣌⠳⣌⠳⡰⣩⠟⣿⣿⣷⣯⣼⣾⣷⢻⠱⣌⢚⡻⢷⣦⡙⢦⠸⣡⠚⡥ ⡙⢮⣇⡣⡜⢣⣋⢎⠵⣂⢳⠱⢦⡙⢆⢫⠔⣍⠚⡴⡉⢖⡱⢨⡑⠦⣘⣾⡀⠀⠀⠀⠀⣠⣾⠫⠵⢣⢌⠳⣄⢣⠕⣢⠛⡴⢊⡽⣬⡟⡏⢆⢇⠳⡌⢦⡑⢎⠼⡹⠷⣗⢤⢋⠴ ⡙⢦⣼⡽⢻⢧⣜⡪⣜⡡⢏⢺⠰⣉⠎⢦⡙⢤⢋⠴⣉⠖⠬⣑⣬⡷⠟⣃⠿⣦⠴⣖⠻⣡⠛⡟⣯⣖⣪⠱⡌⢖⡩⢦⡹⣴⠿⣛⠵⡘⢬⢃⠮⡱⢜⢢⡙⢬⠒⡥⢓⡌⢫⠞⡶
⠀⠈⣟⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⢳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣄⠀⠀⠀⠀⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠻⣿⣦⡀⠀⠀⠈⣧⡀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠈⠻⣿⣦⠀⠀⢨⣷⣦⣤⣤⣄⣀⡀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠈⢿⣿⡍⠀⠉⠉⠉⠙⠛⠻⠿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣷⣦⡀⠀⠀⠀⠀⠀⣠⠖⠺⣶⣄⠀⠀⣠⡞⠉⠉⠲⡄⠀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠹⠿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣷⣄⠀⠀⢠⡟⠈⢩⣤⣝⣹⠘⠷⠤⢶⡆⠀⣘⠀⠀⠀⣠⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⡄⠘⣇⠈⢿⣄⠀⠀⠀⠀⢀⡿⠃⢠⡟⠀⣠⣾⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⡀⠱⣄⠈⠢⡀⢀⡴⠋⢀⡴⠋⢀⡾⠛⠁⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡄⠈⠳⣄⠈⢯⣀⡴⠋⠀⣰⠀⠀⣤⣄⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢠⣼⣿⠻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡄⠀⠈⠢⠼⠀⠀⠀⡼⠁⠀⢸⣿⣿⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣾⣿⠃⠀⠘⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀⠀⠀⡌⠣⠁⠀⠘⠛⠛⠀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢿⣿⠀⠀⣠⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣿⣿⡀⠀⠀⠀⣰⣴⠟⠀⢰⣦⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢀⣀⣀⣀⣀⠘⣿⣇⣀⣿⣿⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠊⠉⠀⠀⠈⣿⣧⠀⠀⢀⣿⣿⣄⣴⣿⣿⣿⣿⣿⣿⠿⠛⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡿⠟⠛⠿⠿⣿⣿⡿⠿⣿⣿⣾⣿⣿⡆⠀⠀⠀⠀⣀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⢹⣿⡀⠀⣼⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣾⣿⢀⣠⣿⣿⣿⣿⣿⡇⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⠀⣿⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡄⠀⠀⣤⣴⣿⣿⣿⣷⣿⣿⣟⡿⡋⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⢸⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣶⣶⣿⣿⣿⣿⣿⣿⣟⡿⠗⠋⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡷⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⣿⣿⣇⡇⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⣶⠄⠀⠀⠀⠀⠀⠀⠀⢠⣼⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣭⡄⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠻⣿⣿⣿⣷⣿⣿⣿⠃⠀⢀⡞⠀⠀⠀⠀⠀⠀⢀⣾⣿⣧⠀⠀⠀⠀⠀⠀⢠⣿⠋⠙⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠈⠛⡛⣻⣿⣳⠃⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⣾⡏⠀⢸⣿⠿⣷⡄⠀⠀⠀⠀⠀⠀⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠩⠭⠟⠁⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢿⣇⣀⣾⣿⠀⠹⣿⡀⠀⠀⠀⠀⢠⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠈⠛⢻⣿⣿⣦⣀⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⣿⠈⣿⡟⠋⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⢹⣿⡀⠀⠀⠀⠀⠀⠘⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⠀⠀⠀⠀⠀⠀⢀⣼⣿⠁⠀⠀⣿⣷⣄⠀⠀⠀⠀⠀⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣻⣿⠃⠀⠀⠀⠈⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⣠⠖⠋⠉⢛⡆⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠉⠉⠓⠢⣄⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⡾⠁⠀⠀⠀⣺⠇⠀⠀⠀⠀⠀⠀⢀⣼⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣆⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠈⣳⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⢷⣄⣀⡠⠶⠋⠀⠀⠀⠀⠀⣀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⣤⡀⠀⠀⠀⠀⠀⠉⠳⠦⠤⠴⠋⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⢀⣀⣴⣾⣿⠿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⣿⣿⣿⣶⣦⣄⣀⣀⣀⣀⣀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣶⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣉⣙⣒⣶⣶⣶⡿⠟⡋⣽⣿⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢸⣿⣟⣿⣻⣟⣿⣻⣟⣿⣻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠄⠀⠂⠄⠁⠂⠀⠀⠀⠐⣿⣾⣳⣟⣾⣳⣟⣾⣳⣟⣾⣻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⡀⠂⠄⠈⠀⢁⡐⣀⡀⠸⣷⣟⣾⣽⣳⣯⡷⣟⣾⢷⣻⣽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢿⣻⢯⣟⡿⣷⣦⠀⠀⠀⠀⠀⠀⠠⠁⠰⠀⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠃⠄⡀⢂⠦⢤⡾⣙⢦⡝⢦⡻⣿⣞⡷⣯⡷⣟⣯⣟⣯⢿⡾⣽⣧⠀⠀⠀⠀⠁⠀⠀⠠⣴⣿⢿⣯⣟⣯⡿⣯⢿⣽⣻⣷⡄⠀⠀⠀⠄⠀⠀⠠⠀⠀⠀⠢⠔⠄⠀⠀ ⠀⠀⠀⠀⠄⠂⠅⠘⣷⡹⢦⡹⢆⡳⡹⢯⣿⣳⢿⣯⣟⡾⣯⡿⣽⢯⣿⣆⠀⠀⢀⣌⣀⠀⣸⣿⢯⣿⣾⡽⣾⣽⣻⣟⡾⣷⣻⣿⠀⠀⠀⠁⢃⡇⡁⠀⠀⠀⠸⠡⠨⠈⠀ ⠈⠀⠒⠀⡀⠀⠑⡄⠑⠻⣖⡹⣎⠵⣙⡼⠛⣿⣻⢾⣽⣻⣷⡿⢯⣿⣞⣿⡄⠠⣿⢯⣟⣿⡿⣯⡿⣽⣷⣟⡿⣞⣷⢯⣿⣳⣟⣾⡇⡄⠚⠉⠀⠁⡉⠑⢦⡐⠁⣀⣀⠀⣀ ⠀⠀⢠⠀⡀⠀⠂⠀⠀⠠⠀⠉⠊⠝⠁⠀⠀⣈⠿⠿⢾⠏⠀⠀⠀⠘⣿⣞⣿⣴⣿⣿⣾⣿⡽⣷⣻⢯⣿⣞⡿⣽⣾⣻⢷⣯⣟⣾⣗⠠⣀⠦⣙⠶⣩⢻⢤⡳⣭⠳⣭⢻⡜ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⢀⠤⢄⡀⠀⠀⣿⡿⣼⣟⣧⢿⡼⣧⣿⣻⣟⡿⣿⣟⡿⣿⣼⣻⢿⣼⣻⣼⡇⢧⣘⢧⢻⢼⢣⡟⣜⠧⣇⢿⡠⢇⠿ ⠀⠀⠀⠠⠀⣠⠤⢤⠀⣀⡀⡄⠀⠀⠀⠀⢃⠀⠀⢰⠁⠀⠀⠈⡄⠈⠙⣿⢷⣻⣾⣻⣽⢷⣯⢷⣻⣽⢯⣿⢿⣳⣯⣟⡿⣾⣽⡿⠜⣦⢹⡎⢯⢞⣣⡝⣮⢻⡜⣧⠻⣭⢛ ⠀⠀⠀⠀⠂⣧⣋⡌⢳⢡⢋⣤⠀⠀⠀⠀⠀⢱⡄⠘⢄⡀⢀⡰⠃⠀⠀⢸⣿⣳⣯⢷⣯⢿⣞⣿⣻⢾⣻⡽⣟⡿⣷⢿⣿⡓⠋⠀⠙⡦⣛⢼⢫⡞⣥⢻⡜⣧⡝⣎⢷⣣⢯ ⠀⠀⠀⠀⠀⠈⠳⢜⡣⢏⠖⠡⠁⡂⠀⠀⠀⣸⡀⠀⠀⠀⢀⣦⣤⣤⣴⣿⣳⣟⣾⢯⣟⡿⣞⣷⣻⢯⡿⣽⣻⣽⢯⣿⣞⣿⣄⠀⠀⠀⠜⣮⢳⡝⣮⢳⣝⡲⣽⡸⣎⠷⡫ ⠀⠀⠀⢀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⣰⣿⣷⢦⣤⣴⡿⣿⡽⣞⣷⢯⣷⣻⡽⣯⢿⣽⣻⢷⣻⢿⣽⣻⢷⣯⢿⡾⣽⢯⣿⡀⠀⠀⠀⠉⢷⡻⣵⣏⠾⣵⣣⠿⠘⠋⠀ ⠀⠀⠜⠀⢆⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣶⣿⣟⡾⣯⡷⣯⣟⡷⣟⣿⠾⠛⠓⠛⠛⠛⠛⠚⠛⠻⢽⣟⣾⡽⣟⣾⢿⡽⣯⣟⡿⡇⡀⠀⠀⠀⠀⠙⢳⠞⠛⠉⠀⠀⠀⠀⠀ ⠀⠈⢂⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡷⣯⣟⡷⣿⣽⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣯⣟⣯⢿⣳⡿⣽⡗⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⣀⠀ ⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣳⢿⣽⡷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣯⣟⣯⢿⣽⡇⠃⠀⠀⠀⡇⡀⠀⠀⠀⠘⣿⣻⣟⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣽⣻⡾⠀⠀⢀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⢹⣟⣾⢯⣿⠁⠀⠀⠀⠀⠃⢣⠀⠀⠀⠀⠈⠻⠊⠁⠀ ⠀⠀⠀⠀⠀⡄⠀⠁⠀⢳⠀⠀⠀⠀⠀⠐⢻⣷⣟⣇⢀⡻⠭⠭⠭⡛⠀⠀⠀⠀⠠⣀⡄⠀⠀⠀⠰⢟⠩⠭⠽⡁⢸⡿⣽⣿⠃⠀⠀⠀⠀⠈⡆⡜⠀⠀⠀⠀⠀⠈⠂⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⡀⡐⠝⣿⣻⣆⠄⠒⡐⠴⠃⠀⠀⠀⠀⢄⠀⡰⠀⠀⠀⠀⠧⠂⡓⠀⣤⣿⣿⡝⠁⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⢒⣠⣀⡝⠻⢦⣄⠀⠀⠀⠀⢀⣀⠀⠀⢀⡠⠤⢄⡀⠀⠀⠀⢀⣴⡾⠟⠁⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⠌⠐⠀⠘⠻⡿⠇⠀⠀⣼⣿⢿⡟⠉⠀⠀⠉⡖⠁⠀⠀⠀⠘⢶⣿⢿⡿⣧⠀⠀⠀⠀⠀⠁⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⠈⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣸⣿⣽⣻⠁⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⢸⡿⣯⣟⡿⣧⠡⡀⠀⠀⠀⠀⠀⢀⠤⢀⠀⠀⢀⣀⣤⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣿⣿⠚⠛⡄⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠘⠛⠛⠛⣿⣿⡇⠐⠀⠀⠀⠀⠐⢠⠒⣮⢻⣭⢳⡝⣶⢹⢻⡄⠀⠀⠀ ⠀⠀⠈⠀⠆⠁⠀⠀⠀⠀⠄⠀⠄⠀⠀⠀⡀⢤⣀⠈⠸⢿⣿⣄⠀⠀⠀⠀⠀⡠⠉⠢⡀⠀⠀⠀⠀⠀⢀⠔⢩⡛⠁⠀⠀⠀⠀⠄⢣⡹⢞⡭⣞⡽⣎⠷⣭⣛⣮⠃⠀⠀⠀ ⠀⠀⠠⠃⡆⠀⠀⠀⣠⠞⣭⢳⡹⢲⡰⣲⡔⢦⡀⠣⡄⠀⠀⡏⠑⠂⠒⠂⠉⠀⠀⠀⠀⠉⠐⠒⠒⠈⠁⠀⠰⡇⠀⠀⠀⠐⠄⢀⠘⢵⣫⢞⡵⣺⢭⡻⣵⣫⠎⠀⠀⠀⠀ ⠀⠐⠀⠁⠀⠀⠀⠀⣏⡞⢦⢣⡝⣣⢳⢇⣯⢳⡝⡄⠃⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⢀⠠⠡⠀⠄⡑⢻⣞⡷⣫⠗⠋⠁⠄⠀⠀⠀⠀ ⠀⠀⡀⢀⠀⠒⠁⠀⠳⣚⢥⠳⡜⣥⢛⣎⠞⡵⢮⡵⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠁⠀⠀⠀⠈⠄⠈⡉⠁⠀⠀⠀⠀⠀⠀⢠⣜ ⠀⠀⠈⠠⠃⠀⠀⠀⠀⠈⠛⢧⡝⢦⢫⣜⣫⡽⠊⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠰⣯ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠧⠮⠃⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⢀⡀⡀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠃⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⣸⠀⠇⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀ ⠀⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀ ⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⢸⠀⠀⢀⡤⠖⠒⠒⠢⢄⡀⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⡠⠖⠉⠙⢧⡀⠀⠀⢸⠀⡰⢃⡴⠛⠲⡤⠖⢦⣹⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡆⠀⣠⠴⠒⠒⢾⡃⠀⠀⠀⠀⣻⠚⠙⠉⠀⡇⠸⡄⠀⠀⠀⠀⢠⢿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢱⣰⠃⠀⠀⠀⢀⠔⠒⠢⡀⠠⢧⡀⠀⠀⠀⢳⡀⠙⢦⡀⢀⣴⠏⣸⡁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣧⡀⢀⠀⡏⠀⠀⠀⣹⠀⠀⢹⡄⠀⠀⠀⠙⠢⢤⣈⣩⠤⠞⠁⠙⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢈⡿⢻⠟⠀⠘⠢⠤⠔⠁⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠙⣄⠀⠀ ⠀⠀⠀⠀⢠⠞⠁⢸⡀⠀⠀⠀⠀⣸⠖⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀ ⠀⠀⠀⢠⠏⠀⠀⠀⠳⢤⣀⣀⠴⠋⠀⠀⠀⠀⠀⠀⢀⣀⡠⠤⠤⠤⠤⢤⣀⠀⠀⠀⠀⠀⢹⡄ ⠀⠀⢀⠏⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢀⡠⠖⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢤⡀⠀⠀⣧ ⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⢻ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠈⣇⢸ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠀⠀⠀⣀⣠⣤⣄⡀⠀⠀⠀⠀⠀⠀⡀⠀⠾⠛⠋⠛⠀⢹⡟ ⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⢠⡾⠋⠁⠀⠈⠉⠀⠀⠀⠀⠀⠿⠋⠀⠀⠀⠀⠀⠀⣽⠃ ⠀⠀⠈⢷⠄⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠦⠤⠴⠊⠀⠀⠀⠀⠀⣰⡋⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠞⠁⠀⠀ ⠀⠀⠀⠀⠀⠙⢷⣄⡀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠞⠁⠉⠓⠒⠦⠬⢷⣦⣄⣀⣠⠤⢤⣤⣄⣀⣀⡤⠴⠖⠛⠳⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢈⡷⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢯⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⠋⠀⠀⠉⠓⠒⠒⠒⠒⠒⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀ ⣀⣰⡹⠃⢀⣀⣀⣀⣀⣀⣀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⡀⠀⠀⣀⣀⣸⡇⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⡇⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⢸⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⡄⠀⠀⠀⠀⠀⠀⠃⠀⠀⠸⠀⠀⠀⠀⠀⠀⠃⠀⠀ ⠀⢃⠀⠀⠀⠀⢀⡠⢼⠀⠀⠀⢀⢔⣆⣀⣒⣼⠀⠀⠀ ⠀⠘⡄⡠⠒⠲⠇⠀⠀⡑⠒⠃⡆⢇⠀⠀⢨⢳⠀⠀⠀ ⠀⠀⠱⣇⠀⢰⠁⠈⡆⠑⡄⠀⠘⠄⣑⣒⡡⠒⢄⠀⠀ ⠀⠀⢀⠟⡏⠀⠑⠒⡁⠠⠃⠀⠀⠀⠀⠀⠀⠀⠈⢡⠀ ⠀⢠⠃⠀⠑⡤⠠⠞⠀⠀⠀⣀⠠⠤⠤⠤⠄⡀⠀⠀⢣ ⠀⠆⠀⠀⠀⠀⠀⠀⡀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠑⢆⠸ ⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠄⣦ ⠀⡆⠀⠀⠀⠀⠆⠀⠰⠏⠉⠉⠀⠀⠀⠚⡀⠀⠀⠀⡟ ⠀⠘⢄⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠀⢀⠜⠀ ⠀⠀⠈⡱⠤⢀⣑⢄⡀⠀⠀⡀⠀⠀⢀⣀⢤⠂⠁⠀⠀ ⠀⠀⡸⠄⡀⠀⠀⠈⣉⡩⠅⠋⠉⠉⠁⠀⠀⢇⠀⠀⠀ ⣠⡞⠀⣀⣀⠉⠉⢀⣀⣀⣀⣀⣀⢀⡀⠀⠀⢀⡆⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣶⣦⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣾⣿⣿⣿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣷⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣿⣿⣿⡿⠿⠿⠿⠿⢿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢺⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⡿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣸⣿⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣦⡀⠀⠀⠀⠀⠀⣀⣴⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠛⣿⣿⣦⡀⠀⣠⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣾⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⣿⣷⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣿⡿⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⣿⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣽⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣢⣾⣿⡿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⣿⣿⡿⠃⠀⠄⠀⠀⠀⡁⠀⢠⣴⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⣽⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡿⠃⠀⠀⠀⡀⢀⠀⠀⠀⢸⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠚⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢰⣼⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⢻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢐⣶⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣶⣶⣤⣄⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⢸⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠋⠁⠀⠀⠈⠉⠛⢿⣶⣿⠟⠉⠀⠀⠀⠀⠀⠙⢿⣿⡄⠀⠀⠀⠐⣻⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣠⣾⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠁⢿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣸⣾⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠁⠀⠀⠀⠊⢻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡇⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣽⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⣿⣆⠀⠀⠀⠀⠀⣠⣾⠟⠟⠛⠛⢷⣦⡀⠀⠀⢠⣄⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣷⣔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢄⣤⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣦⠄⠀⠠⣿⠁⠀⠀⠀⠀⠈⣿⡇⠀⠀⠰⣿⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⢿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣢⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣶⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣴⣿⠏⠁⠀⠀⠀⢻⣷⣄⣀⢀⣤⣼⠟⠀⠀⠀⠀⠈⠹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣶⣦⣤⣀⣀⣀⣀⣀⣀⣀⣤⣾⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣸⣵⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⣿⠇⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⢹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⣰⣤⣷⣿⣿⠿⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣖⣼⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣽⣿⣿⢿⣿⣦⡀⠀⠀⠀⠀⢀⣠⣾⡿⢿⣦⣄⣀⠀⠀⢀⣀⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⢮⣿⣿⡿⠃⠀⠉⠻⢿⣷⣶⣶⣾⡿⠟⠋⠀⠀⠉⠛⠿⠿⠿⠿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣳⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⣽⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣽⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣦⣤⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣶⣿⣿⣿⡿⠿⠿⠟⠛⠛⠛⠛⠛⠋⠉⠙⠛⠛⠛⠛⠛⠿⠿⠿⣿⣿⣿⣶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡿⠰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⣿⣿⣶⣤⣀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣟⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣾⣿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⣺⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣯⠀⣇⠀⠀⠀⠀⠀⠀⠀⢀⣀⣶⣿⡿⠋⠁⠀⠀⢀⣠⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⡤⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠨⠇⠀⠀⠀⠀⠀⠀⢠⣰⣿⡿⠋⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠄⡂⢀⠀⢿⣿⣿⡿⣟⣿⣻⣟⡿⣽⣻⢟⣯⣟⡿⣽⣻⢿⣻⢷⡀⢂⠄⡂⠄⡀⠀⣾⡿⣽⣫⣟⡽⣫⢯⡟⣽⢫⣟⡽⣫⣟⢿⣳⣀⠒⡐⢆⠰⡀⠆⠠⠀⠀⠀⠀ ⠐⣁⠂⠀⢹⣿⣯⣿⢿⣳⣟⡾⣽⣳⢯⣟⡾⣽⣞⡷⣯⢿⡽⣯⣷⡁⢂⠌⠰⠀⢘⣿⣽⣳⣟⡾⣽⢯⣷⣻⣽⣳⡾⣽⣳⢯⣿⣹⣿⡐⠌⡠⠂⠔⡈⡐⠠⠀⠐⠂ ⠐⡀⠂⠐⢀⢻⣿⢯⣿⣿⣽⣻⢷⣯⣟⡾⣽⣳⢯⡿⣽⢯⣟⣷⢻⣧⠈⡄⠃⠄⢹⣿⣾⣽⣾⣻⣽⣟⣾⣳⣯⡷⣟⣷⣯⣿⢾⣽⣷⡇⢂⠡⣁⠊⡐⠠⢀⠐⢀⠁ ⠐⢨⠐⠈⡀⠘⣿⡿⣿⣾⣻⣽⣟⡾⣽⣻⣗⣯⢿⣹⡟⣾⡽⣞⣯⢟⡆⡘⠄⠂⠄⢻⣷⣿⣯⣿⣟⣾⣿⣽⣷⣿⣿⣿⣾⣿⣿⣿⡾⣇⠎⠰⡀⢆⠩⡐⢀⠐⡀⠂ ⡘⡄⢂⠐⡀⢁⠸⣿⣿⣽⣟⡷⣯⣟⢷⣻⢾⣭⣟⣳⡟⣧⢿⣹⢮⡟⣷⡈⢌⠐⡀⠂⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⡿⣽⢈⠱⡐⢌⠰⣀⠂⡐⢀⠁ ⡐⢂⠢⠐⡈⠄⢂⠻⣾⢿⣾⢿⡽⣞⣯⣟⢾⣳⢞⣧⢿⣹⡞⣧⠟⣞⢯⡟⣶⠶⣶⣳⠶⣏⣻⣛⠿⣿⢿⣿⣿⣟⣿⢿⣽⢿⣻⢿⣽⣻⢌⠢⡁⢎⠰⡀⢂⠐⡀⠂ ⢌⡱⢈⠐⡐⡈⠄⢂⠹⣿⣯⣿⣻⡽⣞⣞⢯⡞⣯⠞⣧⢳⡝⣶⣛⢮⡳⡽⣭⣛⢶⣹⢻⡼⣥⢏⡿⣜⢧⡻⣜⢯⡻⢿⡽⣯⣟⡿⣾⣽⠢⣅⠱⡨⣑⠢⢁⠒⡈⠐ ⡎⠶⣉⠦⠱⠌⠜⠢⠅⠿⣞⣷⢯⡻⣝⢮⡻⣜⣧⢻⣎⠿⣜⢧⣛⢮⡳⣝⢶⡹⣎⢷⣫⢼⣣⢟⡼⣹⢎⡷⣹⢮⣝⡻⣜⡳⣞⣻⢷⣏⠷⠌⠳⠱⠎⡕⠊⠖⢡⠋ ⠀⡀⠀⢀⠀⠈⠀⠁⠀⣤⣿⣛⣮⢷⣛⡮⢷⡹⣎⡷⣭⣛⢮⡳⡽⣎⢷⣹⢮⢷⡹⣎⢷⣫⢞⡽⣺⢵⣫⠾⣵⢫⡞⣵⣫⠷⣭⢷⣫⡾⣦⡈⠀⠀⠀⠀⡀⠈⠀⠀ ⠀⡀⠈⠀⡀⠀⠀⢀⣾⡿⣽⢳⡽⣞⢧⣟⣭⢷⣫⢾⣱⢏⡯⢷⡝⣾⡹⣎⡟⣮⠽⣝⣮⢳⣏⣞⢧⠿⣜⣻⡼⣫⣝⡧⣏⣿⣹⢮⢷⡻⣏⡿⣆⠁⠀⡀⠀⠐⠀⠀ ⠀⢀⠀⠠⠀⠀⢀⣾⡿⣽⡽⣛⡾⣽⡞⣾⢼⣣⢯⡗⣯⢯⡽⣳⢏⡷⣽⣹⠾⣭⡻⣝⣮⢷⣫⢞⣯⢻⣭⣳⢽⣣⢟⡼⣏⡶⣯⣻⢾⣝⣯⢷⣻⢦⠀⡀⠀⠀⠀⠀ ⠀⠂⠀⠀⠐⣠⣿⢯⣟⣷⣻⣽⢻⣧⣟⣳⢯⣯⢷⣻⢧⣟⡷⣯⢿⣹⡶⣏⣿⣳⣽⣏⣾⡳⣯⢟⣞⣯⢶⣯⣟⣾⣫⣽⢾⣽⣳⢯⣟⡾⣽⣻⣞⣯⢷⡀⠀⠠⠀⠀ ⠀⠐⠀⠈⣰⣿⢯⣟⣾⣳⣟⣾⣻⢾⡽⣯⣟⡾⣯⣟⠿⠞⠛⠉⠉⠉⠉⠁⠀⠀⠀⢀⠀⠉⠉⠉⠉⠚⠛⠾⢞⣷⣻⣞⡿⣾⣽⣻⢾⣽⣳⢷⣻⣞⢯⣷⠀⠀⠄⠀ ⣂⠒⡄⢆⣿⢯⣟⣾⣳⣟⣾⣳⢯⣿⣽⡳⠟⡉⠁⡀⠠⠈⠀⠄⠁⠀⠀⠀⠁⠀⠂⠀⠀⠂⠈⠀⠠⠐⠈⠀⠂⢀⠉⡙⠿⣳⣯⢷⣟⣾⡽⣯⢷⣯⣟⢾⣇⡌⡔⣠ ⢨⠱⡘⣾⢯⣟⡾⣷⣻⢾⣳⣟⣿⠞⠋⢄⠀⠀⢂⠀⠐⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⡀⠀⡀⠐⢀⠐⡀⠄⡉⠽⣿⣾⢯⣿⣽⣻⢾⡽⣯⢾⡜⠰⢂ ⢀⠣⢰⣿⣻⣞⣿⡽⣯⣿⢯⡿⠃⠌⠠⠀⠰⠄⠠⠀⠠⠀⠀⠈⠀⡀⠐⠈⠀⠀⠁⡀⠀⠠⠐⠈⠀⠀⡀⠠⢀⠠⠀⢠⠀⠠⠐⠠⢿⣟⣾⣳⡿⣯⣿⣽⡻⣿⠁⠆ ⠠⠌⣹⣯⢷⡿⣽⣻⣽⣾⣟⠠⠁⣌⣤⣷⣾⣿⣷⣿⣦⣆⡁⠀⢂⠀⠄⢁⠀⣁⣀⡀⠄⠐⠀⠂⠁⠠⣄⣶⣾⣷⣿⣿⣦⣥⣈⠐⡠⠹⣿⣷⢿⣟⣾⢷⣻⣽⠘⡈ ⠠⡑⣸⣿⢯⣿⣟⣯⣿⣾⣺⢀⡃⢿⡿⢟⠏⡉⠌⢉⠙⠟⠁⡈⢠⢀⠀⢂⠸⣏⣿⡷⢀⠈⠄⡐⢀⠂⡘⢛⠏⠉⠌⡉⠛⣿⡿⠖⣀⠃⢿⣿⣻⣯⡿⣯⣷⣻⠄⡡ ⠠⡁⢼⣿⣻⣟⣾⣿⣻⣏⠥⣂⠔⣢⣔⣌⡰⠠⢌⠂⣌⠠⢡⠐⡂⢼⣮⣄⣇⣸⣀⡔⣒⣬⣦⠐⡄⢢⠐⣂⠌⢢⠐⡡⢒⣄⣢⣱⡠⣉⢎⣿⣿⣽⣟⡿⣞⣿⠠⢁ ⠠⢁⠊⣿⣷⢿⣯⣿⣿⣏⢖⡥⣟⡻⡼⡹⡗⣗⢪⠱⢤⡙⢤⠓⡌⢦⣹⣿⣿⣟⣿⢻⣿⣿⠏⡜⣠⠣⡜⢤⡚⢤⣋⡴⣿⢩⡳⢏⣻⡔⢮⣿⣿⢿⣾⢿⣽⡏⡐⢂ ⠠⠁⡌⠸⣿⣿⣻⣽⣿⣿⡮⣜⡶⣭⢳⡝⣣⣏⢮⣓⢧⡚⣥⢫⠜⣦⠹⣿⢿⣾⣞⣿⣿⢣⡝⣢⢇⡳⡜⡦⣝⢦⣣⢟⡜⣧⡝⣾⢻⣼⣷⣿⣿⣿⢿⣯⡟⡠⠄⠡ ⢀⠣⠠⠑⡈⢿⣿⣿⣿⣿⣿⣧⣟⣼⣳⣟⣧⣟⣯⣞⣧⢿⣜⣧⣟⣶⣻⡼⣏⣿⣻⣳⣽⣲⣽⣲⣏⡾⣝⡷⣽⢾⡽⣾⡽⣶⣻⣼⣳⣾⣿⣿⣿⣿⣿⠋⡐⢠⠘⡀ ⠄⢢⠁⠣⠌⢠⠙⢻⣿⡿⠿⣿⣿⣾⣷⣿⣾⣽⣾⣟⣾⣿⢿⣾⣟⣾⣷⣿⣻⣾⢷⣿⣾⣷⣯⣷⣿⣻⣿⣟⣯⣿⣟⣷⣻⣷⣿⣾⣿⣿⣿⣿⡿⠟⢁⢂⠑⠠⠒⡀ ⡘⠄⣈⠡⠌⢄⡘⢄⡊⠂⠀⠈⠉⠻⢿⣿⣿⣷⣿⣿⣯⣿⣟⣯⣿⣟⣿⣻⡿⣿⣿⣻⢯⣿⣻⢿⣽⣻⣽⣿⣿⣯⣿⣿⣿⣿⣛⠋⠁⠀⠀⠡⢣⠈⡄⠢⠌⡁⠒⡠ ⠄⣃⠰⢀⠃⠤⠐⡈⣧⣚⡔⣪⡔⣶⢂⠉⡙⠛⢿⡿⣿⢿⡿⡿⢿⡿⢿⡿⢿⣻⢾⡿⣿⢿⡿⣿⠿⣿⠿⣿⢿⡿⠟⠛⠉⠡⣎⡴⣠⠒⣔⠢⣄⠘⠠⢁⠒⡈⠡⠄ ⢒⠠⢒⠠⢌⡐⡁⠆⡘⢻⣾⣷⣿⣏⣦⢣⡐⣂⣼⡟⣼⢫⣗⡻⢧⣛⣧⠿⣯⠏⠈⢻⢮⢷⣹⢎⣿⣱⢯⣳⢻⣧⢐⠢⣍⢲⣹⣶⣧⣿⡯⠛⡄⢊⢁⢂⠒⢠⠁⠆ ⣎⢲⡡⢎⡐⣆⡑⣎⠴⡡⢆⡝⢿⣻⣷⣧⡳⠝⠿⣼⢳⣻⡼⣝⢯⣳⢞⣻⠏⠀⠀⠈⣿⢫⣞⢯⡞⣵⡻⣼⢳⡯⢟⣳⣾⣿⣿⠷⣛⢭⡰⢥⡘⢆⡎⣒⠜⣢⡙⢢ ⠎⠧⠹⠎⠝⠦⠽⠌⠷⠙⠮⠜⠧⠓⠻⣵⢿⡙⠀⠈⠛⠧⣟⣞⢯⣳⢿⡟⠀⠀⠀⠀⠘⣿⢾⣹⣞⣳⡽⠟⠋⠀⠙⣾⣯⠿⠡⠟⠜⠦⠝⠮⠝⠮⠼⠥⠯⠱⠍⠗ ⠀⡐⠀⠀⠈⢀⠀⠐⠀⠈⠀⠀⡀⠄⠁⠀⠙⡐⠁⠄⢀⠀⠀⠉⠉⠓⠛⠄⠀⠀⠀⠀⠀⠙⠛⣊⠩⠁⠀⠀⠀⠠⢁⠸⠁⠀⠄⠀⠂⠀⡀⠀⡀⠂⠀⡀⠀⠂⠈⠀ ⠁⢀⡀⠁⠀⠀⠀⠂⠀⠂⠀⠀⠀⠀⠀⠠⠐⠠⠌⠠⠀⠠⠀⠂⠀⠀⠀⠀⠄⠀⠂⠀⠄⠀⠀⠀⠀⠀⠐⠀⡁⠒⢀⠂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠂⠀
⣿⣻⣟⣿⣻⣟⣿⣻⢟⣿⣻⣟⣿⣻⣟⣿⢻⣟⡿⣽⣻⣟⡿⠛⠉⡀⡤⢴⡰⣒⢖⡲⣚⠴⡳⣜⢲⡒⢦⠤⣤⣀⠄⠉⢉⠛⠿⢿⣻⡿⣿⢿⡀⠈⢧⢫⡜⣣⠝⣮⢱⢫⡜⣣⠝⣮⢱⢫⡜⣣⠝⣮⢱⢫⡜⣣⠝⣮⢱⢫⡜⡥⠀⢹⣿⢿⣻⡿⣟⣿⢿⣻⡿⣟⣿⢿⣻⡿⣟⣿ ⣷⣻⣞⣷⣻⣞⡷⣯⣟⣾⣳⣟⣾⣳⣟⣾⣻⢾⡽⣷⣻⠞⠁⣠⠖⡽⣘⢧⠳⣍⢮⡱⣍⢞⡱⢎⢧⡙⣎⠳⢦⡙⣎⡛⢦⢤⣂⡀⠉⡙⠿⣻⣧⠐⠨⡳⡜⣥⢛⡴⣋⠶⣙⢦⡛⡴⣋⠶⣙⢦⡛⡴⣋⠶⣙⢦⡛⡴⣋⠶⣙⠶⠈⢘⣿⣟⣯⣿⣻⣽⣟⣯⣿⣻⣽⣟⣯⣿⣻⣽ ⣿⣳⣟⣾⣳⢯⣟⣷⣻⣞⣷⣻⣞⣷⣻⢾⣽⣟⣿⣳⠏⠀⡴⢣⡛⡴⣋⢎⡳⡜⢦⠳⡜⢮⡱⣋⠶⡹⣌⡛⢦⡛⡴⢭⡓⣎⠶⣩⠳⣤⡀⠄⠙⢣⠀⠱⣙⢦⣋⠶⣩⢞⡱⢎⡵⢣⡝⢮⡱⢎⡵⢣⡝⢮⡱⢎⡵⢣⡝⢮⡑⢎⡐⠀⣿⣾⢯⣷⢿⣽⠠⢸⣷⢿⣽⡾⣯⣷⢿⣽ ⣷⣻⣞⣧⠟⠛⠾⢳⣟⣾⣳⣟⣾⣳⢯⣿⣳⣯⣿⡍⠠⢸⡱⢣⡝⡲⣍⢮⡱⣙⢎⡳⣙⢦⠳⣍⢞⡱⢎⡝⣲⠹⣜⢣⡝⣬⠳⣥⢛⡴⣩⢓⡦⣀⠌⠀⠌⠶⣩⢞⡱⢎⡵⢫⡜⣣⠞⣥⢛⡼⣘⢧⡚⣥⢛⡼⣘⢧⡚⢥⠚⡬⠐⠈⣿⣽⠏⠛⢋⠗⡠⢹⣾⢿⣳⠿⣯⣟⣯⣿ ⣯⢷⡛⠀⣀⢦⣄⠠⠘⣷⣻⣞⡷⣯⣟⣷⢿⣳⣯⠇⠀⡧⣝⢣⢞⡱⢎⠶⡹⡜⢮⡱⣍⢎⡳⡜⢮⡱⢫⡜⣥⢛⡬⢳⡜⢦⡛⡴⣋⠶⣡⢏⠶⣩⠖⣥⠂⡀⠳⢎⡵⢫⡜⣣⠞⣥⢛⡴⣋⠶⣩⢖⡹⢆⡏⠶⣉⠦⣙⢢⡙⠴⠁⡘⣿⣽⣶⣿⣤⠆⢡⣂⠌⡙⢃⣐⣾⢿⣽⣾ ⣯⣟⡁⠄⢏⠶⣌⠃⠠⠈⢁⠉⠉⠁⡉⠘⠛⠋⠿⠇⢀⠳⣎⠳⣎⠵⣋⢞⡱⣙⢦⠳⣬⢣⢳⡙⡦⣝⢣⠞⡴⢫⡜⣣⠞⣥⢛⡴⣍⢞⡱⢎⡳⢥⡛⡴⣋⢦⡀⠌⠚⡵⢪⡕⣫⠖⣭⠲⡍⠞⡱⠎⠑⠣⠘⠱⢈⠒⠡⠢⠙⠌⡐⠸⢿⣽⣾⣳⣿⣈⣴⡿⡿⠐⣂⠌⡙⠿⢓⠻ ⣷⣫⢷⣤⣀⣂⡀⠌⠠⢁⠂⠌⠠⠁⠄⡁⠂⠌⠠⠐⠠⠘⣬⠳⣬⠳⣍⢮⡱⣍⢎⡳⢬⢣⢧⡙⢶⡩⢎⡽⣘⢧⡚⣥⢛⡴⣋⠶⣩⢎⡵⢫⡜⣣⢝⡲⡍⢦⡉⢦⠐⠈⠳⠘⠁⡉⢀⡐⣀⣂⠤⡤⢥⠦⡥⢦⠤⢦⠥⣆⢥⡰⣀⣂⠄⡀⠉⡙⠾⣟⣯⡿⣷⣳⣾⠿⡐⠌⡂⢾ ⡷⢯⣻⢞⡽⡽⣇⠈⡐⠠⠈⠄⣁⠊⡐⠠⠁⡌⠄⡁⢂⠁⡀⠻⣔⢫⡜⢦⠳⣬⢣⡝⣎⠳⣎⡝⢦⡝⣎⠶⣩⢖⡹⢆⡏⢶⡩⢞⡱⢎⣜⢣⢞⡱⢎⡱⡘⠆⠉⠄⡁⣌⠴⣘⠶⣩⢧⡹⡜⣬⢳⡙⣎⢳⡙⢮⡙⣎⠳⡜⢦⢳⡱⢎⡽⣱⠲⣤⣀⠀⡉⠻⢿⣽⡾⣷⣴⣷⣌⣼ ⣟⣯⡽⣏⡿⣝⡧⠀⠄⠡⠘⠠⢀⠂⠄⡁⠆⡐⢀⠒⡀⠂⠄⡁⠘⢧⡚⣥⢛⡴⢣⠞⣬⠳⡜⣜⢣⠞⣬⢳⡱⢎⡵⢫⡜⣣⠝⣮⢱⢫⡜⡣⢎⠑⠊⡀⣐⣠⢓⠮⡕⣎⠳⣍⢞⡱⢎⡵⣙⢦⢣⡝⣬⢣⡝⣲⠹⣌⠻⣜⢣⢧⡙⣎⠶⣡⡛⡴⣩⢓⠦⣄⠂⠙⢿⣯⣷⢿⣽⣻ ⡿⣼⣳⢯⡽⡾⣽⠀⠌⠠⠑⠠⠁⠌⡐⢀⢂⠐⠄⠂⠄⡑⠠⡀⠡⠀⠙⠦⣫⢜⣣⢛⡴⢫⡜⣎⢧⡛⡴⢣⡝⢮⡜⣣⠚⠁⡈⢀⠉⠢⠑⢁⠠⣈⡴⢪⡕⢮⡙⢮⡱⢎⡽⣘⢮⡱⣋⠶⣩⢎⡳⡜⢦⠳⡜⣥⢛⡬⣓⢎⡳⢎⡵⣊⠷⣡⢛⡴⢣⢏⡞⣬⠳⣄⠂⠙⢾⣟⣯⣿ ⣿⣱⣟⡾⣽⢽⣳⠄⡈⠄⡑⠈⠤⢁⠐⠂⠄⡨⢀⠉⡐⠠⠁⠄⡡⢈⠐⠠⢀⠙⠦⢫⡜⣣⠞⡜⢦⡹⣜⢣⢞⡱⢎⠁⢠⢒⠩⡌⢆⡁⠌⢰⣋⠶⣩⠳⣜⢣⡝⣲⡙⣎⠶⣩⢖⡱⣍⢞⡱⢎⡵⣙⢎⣳⣽⣦⣿⣶⣿⣾⣿⣿⣿⣿⣿⣿⣷⣾⣷⣮⣜⢦⡛⣬⠳⣄⠂⠹⣿⢾ ⣷⣻⢾⡽⣏⡾⣽⠆⢀⠂⠄⡁⠢⢀⠊⡐⢈⠐⠠⠈⠄⠡⡈⢐⠀⡂⠌⡐⢀⠂⠄⠂⢉⠐⠛⠜⢣⠳⠬⣓⢮⠱⡃⠈⠴⡉⢂⠁⣊⠰⢀⠂⡝⢮⡱⢫⡜⣣⠞⣥⢛⡬⢳⡱⢎⡵⣊⣮⣵⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⢀⢈⣿⣿⣷⣯⣖⡹⣌⢧⡀⠘⣿ ⡿⣽⢯⣿⣹⡽⣞⣇⠠⠐⠈⠄⡁⢂⡐⠄⡈⠤⢁⠡⠈⠔⠠⢁⠂⡐⠐⡀⠆⡈⠄⡁⠂⠌⠠⠈⢄⡐⣠⢀⠈⠡⢀⠁⢂⠐⡠⠒⡠⢘⠠⢀⢸⢣⡝⣣⠞⣥⢛⡴⢫⡜⣣⣽⣾⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠠⣈⣴⣿⣿⣿⣿⣿⣿⣷⡜⣦⢳⠀⡘ ⣿⣹⢻⡶⣻⣼⢳⣏⠀⠄⡁⠂⠐⠠⠐⣀⠂⠔⡀⢂⠡⢈⡐⠀⠆⡈⡐⠀⠆⡐⠐⡈⠐⡈⠄⣩⠒⢬⡐⢎⠀⠡⠌⡘⠠⠐⡀⠑⡀⠃⡀⢢⢏⠶⣙⢦⡛⡴⢫⣜⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣬⣶⣿⣿⣿⣿⣿⡿⢟⡛⡛⢿⣶⡍⢧⠀ ⡷⣭⢷⡻⣵⣫⢟⣮⢇⠀⡐⠈⠠⠁⢂⠀⠌⠐⡀⢂⠐⠠⢀⠁⢂⠐⠠⠁⠂⠄⢁⠠⠁⠠⠀⢥⠚⡰⢈⠠⢈⡐⠈⠄⣁⢢⡑⠦⣤⠱⣜⢣⢎⡳⣍⠶⣹⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠄⠛⠋⠛⠙⠋⠛⠙⢋⢖⣷⣾⣿⢆⢺⣿⡸⠀ ⢿⡜⣧⢟⣧⢟⣯⢞⣯⢆⠀⠌⠐⡀⠂⢈⠀⠂⠄⠠⠈⠄⠂⢈⠠⠀⠡⢀⠁⠂⠄⠂⠌⠠⠁⠂⡝⠰⡁⢢⠡⠄⠃⡐⡌⢦⣙⠳⣌⠗⣎⢧⣋⠶⣩⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣥⣬⣴⣤⣥⣦⣴⣤⣥⣮⣘⠫⣍⣱⣮⣿⣿⣇⠃ ⣟⡼⣫⣞⢮⡟⣮⠿⣼⢯⡷⣬⣀⠄⠁⢂⠈⡐⠈⡀⠂⠄⡁⠂⠠⢁⠂⠄⡈⠔⡈⢐⠈⠄⡁⢂⠈⢡⠐⡁⠆⣉⠐⢠⡙⢦⣍⠳⣎⠽⣘⢦⣹⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⣉⠉⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠺⣵⢳⡝⣮⣽⣳⢿⡽⣯⣟⢷⣫⢟⡷⣶⣲⣤⡥⠄⡁⢂⣠⡅⢉⠻⣦⡔⢀⠂⡐⠂⠌⡐⢀⠂⠌⡀⠌⢀⠃⠠⢐⢢⡙⠶⣌⠗⣎⠳⣍⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠒⢋⣁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁ ⠀⠌⢻⡼⣳⢯⣟⣯⣟⡷⣯⣻⢼⣛⡾⣵⠳⠉⢀⣰⡴⣯⢷⡀⢂⢐⣯⣞⡆⠐⠠⢁⠂⡐⢈⠐⣴⣴⣬⣀⡂⠁⣎⠶⣩⡓⢮⡹⣌⢻⣾⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⡁⢈⠈⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⠀ ⠐⡀⠂⠹⢧⡻⣜⣳⢯⡟⣧⢯⣛⡮⠗⠁⢠⡼⣞⣧⢟⣞⡧⣟⣞⡻⡶⡽⣆⠡⠈⠄⢂⠁⢂⣼⣿⣿⣿⣿⡇⠀⣏⠞⣥⢛⢦⡓⣎⣿⣿⠿⠛⠋⠉⢁⠀⠠⢀⡐⠈⡐⣸⣿⣿⣿⣿⣿⣿⡿⠟⠉⢀⠄⡊⠔⣁⢊⠘⠠⠁⢉⠈⠉⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡧⠀ ⠐⠠⢁⠂⠩⣗⢯⡞⣧⠿⣭⢷⠋⠁⠄⢼⡏⢁⠡⠀⠌⡾⣝⡾⣭⢷⡻⣕⠫⠿⢀⠘⠠⠈⣴⣿⣿⣿⣿⣿⡇⠀⣏⠞⡴⣋⠶⡹⣼⣿⡀⢠⣐⣨⣴⣶⣾⣿⠟⠀⣐⣴⣿⣿⣿⣿⣿⣿⡟⠁⢠⠊⠔⣨⢐⡡⢂⠂⠌⣴⣿⣿⣿⣿⣿⣦⣄⠈⠻⣿⣿⣿⣿⣿⣿⣿⣟⣾⠁⡀ ⠐⠠⢈⠐⡀⠹⣎⢷⡹⢶⡹⠎⠐⠠⠐⡈⢷⣬⣀⣢⢴⡳⣏⡷⡽⢮⢗⣻⠦⠀⠌⡐⢀⠂⣿⣿⣿⣿⣿⣿⡇⠠⣙⠶⣡⠻⣔⡣⣿⣿⣷⣾⣿⣿⣿⣿⡿⠋⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡇⠐⡈⠐⠠⠉⢈⠃⠎⠠⣰⣿⣿⣿⣿⣿⣿⣿⣿⣆⠠⠹⣿⣿⣿⣿⣿⢿⣽⠏⠀⣡ ⢈⠐⠠⠂⠄⡁⢹⣎⡟⡧⠁⡐⠈⠄⠡⠐⠠⠙⠽⢣⡿⡹⠝⠚⠽⣳⠆⡈⠐⡈⠐⡀⠆⣼⣿⣿⣿⣿⣿⣿⡇⢀⠹⣎⠵⣋⠶⡱⣿⣿⣿⣿⡿⠿⢿⠟⠀⢄⣵⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠠⣤⣷⣿⣷⣦⡌⠠⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠘⢿⣿⣿⢯⣿⠏⠀⣰⣿ ⠠⠈⢄⠁⡂⠐⡈⢾⠉⢀⠐⠠⢁⠊⠄⡑⢂⠁⠂⠄⡐⠠⢈⠐⠄⣀⠂⠄⢡⠀⢃⠐⣠⣿⣿⣿⣿⣿⣿⣿⠁⡀⠂⡝⢮⡱⢫⡕⣿⣿⡟⣡⣼⣷⣌⠦⣼⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⢠⣿⣿⣿⣿⣿⣿⣿⣆⠐⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠈⢿⣯⡿⠁⢠⣼⡿⣽ ⠠⢁⠂⡐⢈⠐⠠⢈⠐⠠⠈⠔⠠⢈⠐⡀⠂⠌⡁⠂⠄⡁⠂⠌⡐⢠⣈⣴⣤⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣰⡁⠈⢧⡙⢧⡚⡼⣿⡇⠼⣿⡿⢟⡰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠘⠉⡀⠤⣿⣯⢿⣻ ⠐⡀⢂⠁⠂⠌⡐⠠⠈⠄⠃⠌⡐⠠⠁⠤⠑⡀⢂⣉⣰⣤⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣴⣿⣷⡈⠀⢏⢧⡙⣖⢻⣿⣧⣶⣼⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠈⠰⢤⡐⠈⠙⢿⣿ ⠐⡀⢂⠡⠌⡐⢀⠂⠡⠈⠔⠂⠄⠡⣈⣤⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠻⣿⣿⣿⣿⣿⣿⣄⠈⠒⡹⢌⠧⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡘⢦⡘⡱⣈⠀⡙ ⠐⡀⠢⠐⠠⠐⠠⢈⠐⠡⢈⠐⣬⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⡴⠊⣠⣿⣿⣿⣿⣿⣿⣿⣷⣀⠄⠉⢎⡱⡘⢿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣄⠠⠀⠧⡱⢌⡳⡄ ⠐⠠⠁⠌⠠⢁⠂⡐⢈⡐⢀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⣢⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⡀⠄⠙⠢⢍⠳⢿⡾⣽⣯⢿⣽⣻⣽⢿⣽⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢈⠄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣄⠠⠑⣏⠶⣙ ⠀⠂⡁⠄⠡⢀⠂⡐⠠⠐⡀⣿⣿⣿⠿⠿⠛⠛⠉⠉⡀⠄⢀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢀⣿⣿⣿⣿⣿⣷⡦⢁⠠⠉⠐⡈⠙⠚⠿⠯⠿⠽⠻⠞⠃⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⢀⢸⣧⠀⠹⣿⣿⣿⣿⣿⣿⣿⣷⡿⣽⣻⣧⡀⠌⢳⡍ ⠀⡁⠠⠐⡀⢂⠐⠠⢁⠒⢰⣿⣋⢀⣄⣢⡔⠈⠠⠁⠄⡈⠄⠠⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⢐⣾⣿⣿⣿⠿⠋⢁⢀⣂⠴⣈⠖⡤⢡⠆⡤⣀⢄⡐⣠⢠⡁⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⠀⢻⡿⣷⡄⠘⠻⣿⣿⣿⣿⣿⣿⣽⡿⣽⣻⣷⠀⠂⢹ ⠀⠄⡁⠐⠠⠀⠌⡐⠠⢈⢸⣿⣿⣿⣿⣧⣠⣬⠀⡁⠂⠄⡈⠄⠡⠐⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⢁⣰⣾⣿⠟⠋⠀⢄⡰⢦⢫⡜⣳⣬⡾⣴⣧⡞⡰⢡⠎⡴⢡⠆⡥⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣀⠐⢨⣿⢯⣿⣦⣥⣿⢿⣿⣿⣿⣿⣿⣽⣟⣷⢿⡇⠈⡀ ⢶⡲⣖⣻⠀⢁⠂⠤⢁⠂⠸⣿⣿⣿⣿⣿⣿⣿⣷⣤⠁⠂⠄⡈⠐⡈⠐⣸⣿⣿⣿⣿⣇⣀⠉⠉⠉⣀⣀⣤⣶⣿⣿⠟⠁⢠⡌⡞⣥⢛⡬⢳⡜⣭⢣⣓⡶⣴⣢⣑⢣⠚⡔⢣⠚⡴⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣻⠀⢢⣿⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣟⣇⠠⢀ ⡷⣹⢎⡷⡌⠀⠌⡐⠠⢈⠐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣔⣀⡡⣀⣥⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠌⡳⣜⡱⢎⡳⣜⣧⡾⡞⢿⡹⡹⢥⣋⠗⣮⠱⣌⢣⡙⠄⡐⠸⣯⣿⣿⣿⣿⣿⣿⣿⣻⡾⡿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠰ ⡽⣣⢟⣼⢣⠈⠐⠠⢁⠂⠌⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠠⠑⢮⡱⣋⠖⣏⢧⠳⠙⢂⠁⠡⠁⡈⠙⢦⢛⡬⢣⠍⢀⣔⢀⣿⣿⣿⣿⣿⣿⣿⣟⣷⢿⣇⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠑ ⣽⢣⡟⣼⢫⡆⠁⢂⡐⢈⠐⠠⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⠫⢭⡉⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠠⠑⠭⠚⡈⠄⣐⣬⣶⣾⣿⣿⣿⣦⠀⠙⡜⠁⣠⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢢ ⡞⣧⢻⡵⣫⢞⡄⠂⡐⠠⢈⠄⠡⠙⣿⣿⣿⣿⣿⣿⠟⡡⢎⡙⢦⡙⢆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⠷⠆⢀⣡⣴⣿⣿⣿⣿⣿⣿⣿⣿⣯⡇⠐⢀⣶⡉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠈⣼ ⡽⣎⡷⣹⡷⣯⢞⣄⠠⠁⠂⠌⠠⠁⠌⢻⣿⣿⣿⡏⡜⡱⢊⡜⢢⣙⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⣽⣻⠿⠍⢁⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡇⠀⣿⣿⠨⣽⡣⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢀⣿ ⣿⣽⣻⣽⣻⢧⡻⣜⣣⡄⠡⠈⠄⠡⠈⠄⡘⠻⣿⣿⣶⣥⣯⣼⡿⠿⠛⠛⠋⠉⠉⢁⠠⢀⠠⠀⠄⠉⢈⠉⠙⠛⠺⠋⢁⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡳⢀⣸⣿⡟⣡⣿⢡⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣼⣻ ⣞⡳⢟⡾⣽⢣⡟⣼⣓⡞⣦⣁⠐⠠⢁⠠⢀⠐⠀⠙⠻⠛⠉⢁⠠⠐⡈⠐⡈⠄⡁⢂⠐⡀⢂⠡⢈⠐⠠⢈⠐⠠⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⡾⠁⣰⣿⡿⠱⣼⡏⢦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣰⣯⣟ ⢮⠽⣹⠼⣥⢻⣜⡳⣼⢹⡲⢭⣛⠶⣤⣀⡂⠈⠄⠡⠐⠠⢁⠂⠄⠡⠠⢁⠰⠐⡈⠄⢂⠰⢀⠂⠂⠌⢁⠠⠈⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⡟⠋⢀⣴⡿⢏⣒⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⣺⡽⣾⣹ ⣏⠆⠀⠄⡀⠄⠀⡁⠁⢃⠛⠵⣋⠾⡥⠃⠁⠌⠠⠁⠌⡐⠠⠈⠄⢃⠐⠂⠄⠡⠐⡈⠄⠂⠤⠈⡁⢈⠠⢀⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠞⠋⢁⢠⣴⣾⢿⣴⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⣼⡳⣟⡵⣯