Staymad Emojis & Text

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GUYS ACTUALLY SYBAU IM TRYNA FIND FUCKING SCENECORE EMOJI COMBOS NOT A FUCKING TUTORIAL FOR A YAPOLOGY DEGREE LIKE STOP MAKING IT ALL "SPREAD THE WORD!!" LIKE BLUD GO SPREAD YOUR GOOFY ASS SHIZ SOMEWHERE ELSE WE DONT WANNA HEAR YOUR RAMBLING LIKE GO DO SOMETHING ELSE- GO LISTEN TO TV GIRL OR SMTH- DO SMTH GOOD💔💔💔

sick of all you free palestine 🍉 !! and ukraine bs. palestine started rhis war n get all psy about it when theyre losing 🤣 no im not israeli. and these Ukrainian people aew scammkng everykne lol

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⣿⣿⣿⣴⣠⠄⠄⠄⠄⠄⠄⠄⠃⡿⣿⡆⣿⣿⡿⣝⢮⠲⣒⣥⣮⣶⣶⣿⣿⣿ ⣴⣠⢀⠄⠄⠄⠄⠄⠁⠋⠿⠃⣿⣾⣷⠻⡙⣦⣾⣿⣿⠻⠉⠄⠄⠄⠄⠄⠄⠄ ⠄⠄⠄⠄⠄⠁⠛⠿⣿⣿⣸⡇⣿⢿⡄⣿⣿⢿⠞⠁⣿⣿⣿⢿⠛⠈⠄⠄⠄⠄ ⠄⠄⠄⠁⠛⣛⣿⣿⣿⣿⣾⡀⣿⣿⠄⣿⣿⣿⢻⡄⣿⣿⣿⣿⣿⣿⠻⠈⠄⠄ ⠄⠄⠃⣿⣿⣿⣿⣿⣿⣾⢀⠄⣶⣴⠄⣄⣶⣿⣴⠄⣿⣿⣿⣿⣿⣿⣿⣿⠘⠄ ⠄⠃⣾⣵⣿⣿⣿⣿⣽⢋⠈⠹⠄⠄⠄⠄⠄⠄⠄⠄⡆⣿⣿⣿⣿⣿⣿⣿⣿⠘ ⠄⠃⡿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣭⠭⠦⠒⠅⡭⠛⠛⠙⣧⣿⣿⣻⣛⣌⣦⣿⢸ ⠄⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠈⢀ ⡗⣿⣴⣥⣶⣷⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘ ⣤⢀⠇⣿⣿⢿⠶⠶⡷⣿⣿⢇⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⣼⠄ ⣰⠋⠉⣄⣤⢀⠄⠄⡍⣿⣿⡿⣿⣿⣿⣿⣿⣿⢿⣛⣙⣬⣤⣤⣤⣷⣿⢸⢀⠄ ⠄⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡌⣠⢀⣀⣧⣿⣿⣿⠻⣇⢸⠄⠄ ⠄⣿⣿⣥⣀⣄⣤⢃⣿⣿⣿⣴⣿⣿⣿⣿⣿⢿⠙⠄⠄⡀⣶⣶⣴⣡⡋⢀⠄⠄ ⠄⣿⢀⠸⠄⠄⠄⡉⣛⣾⢠⡅⢀⣄⣤⣦⣿⣿⣿⣿⢿⠿⠶⠿⠿⣿⣾⠄⠄⠄ ⠄⠄⡇⢸⠄⠄⠄⣿⣿⢀⠄⡀⠄⠄⠄⠄⣾⣦⣶⣶⣠⣸⠄⣯⣼⣧⢰⠄⠄⠄

⠃⠛⠛⠛⠿⠿⠻⠀⠀⠀⠀⠀⠇⠿⠿⠿⠟⠿⠿⠿⠿⠿⠻⠙ ⠀⣀⣀⣀⣇⣿⣽⠛⠉⠀⠀⠀⡇⣿⣿⣠⣿⣿⣿⣿⣿⣿⣿⣴ ⠀⠀⠀⠀⡇⣿⣿⣿⣿⠻⠛⠙⡟⣿⣿⢸⣇⣿⣿⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣶⣷⣿⣿⣿⢻⡇⣿⣿⢿⠀⠀⠀⠀ ⠀⠋⡿⣿⣿⣿⣿⢀⠀⢀⣷⢿⣝⣷⣿⣴⡏⣿⣿⣿⠘⠀⠀⠀ ⠀⣷⣿⣿⣿⣿⣸⠀⠀⠀⠀⣦⣿⢻⠈⠃⣿⣿⣿⣿⢰⠀⠀⠀ ⠀⡀⣤⣶⣴⣠⠀⠀⠀⠀⠀⠀⣆⣿⣿⡿⣿⣿⣿⣼⠀⠀⠀⠀ ⠀⠀⠀⣧⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣶⣶⣴⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⣿⠻⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀ ⡀⣦⣶⣶⣠⠀⠀⠀⠀⠀⠀⠀ ㅤㅤㅤㅤㅤㅤㅤeeessaelp ,siht ekil dekcuf teg ot tnaw tsuj I ㅤㅤㅤ

⠄⠄⠄⠄⠄⠄⠄⠄⣿⠸⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⣿⣿⣿⣿ ⠄⠄⠄⠄⠄⠄⠋⠄⣄⢠⠄⠷⠻⠉⠄⠄⠄⠄⠄⠄⠄⡏⣿⣿⣿ ⠄⠄⠄⠄⠛⡿⣺⠄⠄⠄⠄⠄⣇⣿⣿⢻⠙⠄⠄⠄⠁⣿⣿⣿⣿ ⠄⠄⠁⡿⣿⣿⢸⠋⠘⠡⠋⠟⠻⣤⣿⣿⣿⢿⠹⠄⡟⣿⣿⣿⣿ ⠄⠃⣿⣿⣿⣴⠈⣿⣿⠻⣛⣬⣷⣿⠊⣙⣭⣶⣰⡟⣿⣿⣿⣿⣿ ⠻⡶⣿⣾⢡⡿⢸⣿⣿⣿⣿⣿⢻⣌⢷⡙⣷⢰⡏⣿⣿⣿⣿⣿⣿ ⣿⢿⡛⠌⣷⣿⢸⣿⣿⣻⢛⡇⣿⢿⡈⣷⠻⠎⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠻⣔⢦⡏⣿⣿⣿⡬⣿⣿⢿⡎⣿⢿⡜⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣺⡷⠻⣌⣷⣿⣿⢸⣷⣿⣿⢻⣦⣶⢶⣆⣿⣿⣿⣿⣿ ⣿⣿⣾⣩⢟⡙⣮⣷⡹⣦⣾⢰⡇⣿⣾⣴⠟⡿⣿⢿⠿⣜⣷⣿⣿ ⣿⣿⠇⣿⣿⣿⣿⠻⣝⢦⠿⠿⠾⠄⠄⡯⣿⣿⣿⣿⣿⣿⡄⣿⣿ ⣿⣿⡇⣿⣿⣿⣿⣿⣿⢿⡀⠿⠿⠿⡿⣿⣿⣿⣿⣿⣿⣾⠃⣿⣿ ⣿⣿⠹⢂⠶⣘⣧⣿⣿⣿⢈⣿⣿⣿⣿⣿⣿⣾⣣⣚⣘⢏⣿⣿⣿ ⣿⣿⣿⠻⠛⢨⡆⣶⣿⣾⢶⡐⣭⣤⣶⣶⣶⢴⡍⠋⠟⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣹⠃⠥⠁⠾⣷⢿⠯⣟⠹⠄⣐⣁⣶⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡄⣿⠆⠛⠌⣡⣅⣀⣄⢰⡘⢋⠴⣋⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡂⢸⢻⢀⠟⣽⡈⣐⢋⡿⠋⢰⡿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢸⣦⡏⢹⣠⠟⡡⡿⢃⡰⡌⡇⣿⣿⣿⣿⣿⣿⣿

⠀⠏⠴⠤⠤⠤⠤⡤⣀⣀⣀⢤⠯⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠵⠤⠤⠤⡤⣀⣀⣀⣀⠤⠳⠈⠀ ⠀⣸⠀⠀⠀⠞⠀⠀⠀⠀⠀⠇⢲⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣻⠀⠀⠀⡀⢤⠹⠀⠀⠀⠀⢧⠀ ⠀⢸⠀⠀⠀⢠⠀⠀⠀⠀⠁⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠹⠀⠀⠀⠀⡀⠀⠀⠈⠀⡇⠀ ⠀⢹⠀⠀⠀⠀⠀⠁⠀⠁⡼⠀⠉⠚⠴⠤⣠⣀⢤⠲⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡾⣀⣦⣶⠛⠈⠀⠀⠀⠀⠀⢿⠰⡼⠀ ⠀⡇⠙⠀⠀⠀⠀⡀⠁⡟⣿⣻⢘⠀⠀⠀⠀⠀⠀⠀⠒⡌⠸⠀⠀⠀⠀⠀⠀⠀⠁⣿⢠⠀⠀⡄⣏⢹⠀⠀⠀⠀⠀⡄⠻⢰⠀ ⠀⡏⣔⠀⠀⠀⡄⠀⡇⣷⣿⣮⣿⠻⠀⠀⠀⠀⠀⠀⠁⢸⢸⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠃⡽⣿⣿⠈⠀⠀⠀⠀⠀⡄⠸⠀ ⠃⣼⠀⠀⠀⠀⠀⢰⡇⠀⣧⢧⣿⣾⠀⠀⠀⠀⠀⠃⡴⠀⢱⠀⠀⠀⠀⠀⠀⠀⡿⢷⠀⠁⣿⣿⣾⢧⣄⠀⠀⠀⠀⠀⠀⣆⠘ ⡟⢀⠀⠀⠀⠀⠀⠀⡆⠀⡇⣧⣳⢰⠀⠀⠀⠁⠋⣰⠀⠀⡆⠘⠀⠀⠀⠀⠀⡏⣸⡀⢹⡇⣏⣧⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧ ⣾⠀⠀⠀⠀⠀⠀⠀⠀⠋⣳⣻⣴⠤⠤⠤⡤⣀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⢿⢠⠀⡀⢦⣿⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⢧⠀⠀⠀⠀⠀⠀⡿⣶⢷⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠇⣿⠀⠀⠀⠀⡀⣷⣽⠳⠙⠀⠀⠀⠀⠀⠀⠀⡞ ⡀⢦⠈⠀⠁⠊⡴⢀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠔⢀⡇⠈⠀⠀⠀⡇⣸⠀⠀⠀⠀⠀⠀⡀⢤⣶⠹⠀⠀⠀⠀⠀⠞⢠ ⠀⠀⡀⣀⣀⠀⠀⠀⡞⢞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠙⠈⣇⡿⡿⣿⣢⢁⠚⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠲⠒⠖⡷⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠇⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡟⣿⣿⣿⡾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠸⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣷⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢿⠈ ⠀⠀⠀⠀⠀⠀⠀⡇⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⣷⠈ ⠀⠀⠀⠀⠀⠀⠀⡇⣗⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢻⡴⢠ ⠀⠀⠀⠀⠀⠀⠀⡀⢄⡤⢻⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣯⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣌⠳⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠴⠀⠀⠊⣷⢋⢰⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣤⠢⠓⠙⠈⠀⠀⠀⠀⠀⠑⡿⣿⣿⢹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠞⡤⣾⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⢷⠬⠤⠥⡤⣀⣀⡀⣳⣄⢤⣶⠒⠛⠛⠒⠒⠧⡿⣼⠀⠀⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⡓⠀⠀⠀⠀⡇⠺⠙⠉⠀⠀⣇⠘⠉⡟⣿⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢰⢹⠈⠀⠀⠀⠀⡁⢹⡄⣿⠸⠀⡟⢿⣿⣾⣇⢹⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⣿⣶⣶⣷⣾⣶⣶⣾⣶⣿⢿⠿⣿⣿⣿⣷⣾⣾⠀⠀⡄⠘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠁⣼⠀⠀⠆⠓⠁⠛⢿⠿⣟⣿⣿⣿⣿⣿⣿⢠⣿⠘⠀⠀⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⢸⠀⠀⠀⠁⣿⣷⣜⣿⣿⣿⣿⣿⣿⣿⣰⠀⡆⠘⠀⠀⣿⠸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⢠⠀⠀⠀⡏⣿⠀⣧⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⢠⠀⠯⣿⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠈⠀⠀⠁⣿⢿⠀⡆⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠁⠟⣿⣿⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠦⡶⣴⢿⡿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠤⡤⣃⣟⣿⣿⢿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⡀⣇⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣶⠟⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣿⣟⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣶⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀

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

⣿⣿⣼⢃⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⡘⣷⣿⣿⣿ ⣿⣿⢐⡾⣶⣤⣤⣴⢰⣵⣭⣭⣭⣭⣬⣶⣷⠂⣿⣿⣿ ⣿⣿⢣⡿⣿⣿⣾⢰⡀⣦⣷⣿⣿⣿⣿⣿⢿⠙⣄⣧⣿ ⣿⢶⡋⢟⠿⠾⠃⠟⠿⠿⠿⠿⡛⣟⣿⣿⣿⣿⠜⡠⣿ ⣼⡟⣿⣿⣿⢇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣲⡏⣿ ⠐⣿⣿⣿⣿⡎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢀⠄⡏⣿ ⠝⡎⣿⣿⣿⢻⣆⣿⣿⣿⣿⣿⣿⣶⣤⣀⠄⠄⡟⣿⣿ ⣿⠻⡘⣤⣤⣤⢤⡄⣤⣤⣤⣠⠄⠄⠄⠄⠄⠃⣿⣿⣿ ⣿⣿⣿⣿⠻⠛⠐⠄⠄⠄⠄⠄⠄⠁⠉⠛⠹⡷⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢿⡸⣧⣿⡽⣿⣿⣿⣿⣿⣾⠅⣛⣽⣯ ⣿⣿⣿⣿⣿⣿⣿⠐⡤⣶⣤⣶⣶⣶⣶⣼⢏⣿⣿⣸⡞ ⣿⣿⣿⣿⣿⣾⣓⢇⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣧⡹ ⣿⣿⣿⣿⣿⢸⠼⠤⠤⠤⠦⠓⠄⣿⣿⣿⣿⣿⣳⣿⡿ ⣿⣿⣿⣿⣿⠸⢀⠄⠄⠄⠄⡄⠘⣽⣿⣿⣿⣼⣿⣿⣿ ⣿⣿⣿⣿⣿⢸⠈⠄⠄⠄⠄⠄⢸⣧⣿⣿⣿⣭⣿⣿⣿ ⣿⣿⣿⣿⣿⣯⢹⠈⠄⠄⠄⢀⢄⡙⣭⣻⢸⣟⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣾⢀⠄⠧⠄⡇⣿⣻⠟⣻⢀⡇⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢈⠄⠃⢛⠄⡇⣾⣿⣕⣤⠰⠄⣶⣿⣿ ⣿⣿⣿⣿⣿⣿⢀⠄⠄⣶⠠⡀⡐⠃⠠⡀⢀⠄⡇⣿⣿ ⣿⣿⣿⣿⣿⣿⠠⠄⠄⠄⠄⠄⠄⠄⠐⠄⠄⠄⡇⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠁⡟⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢿⠛⠉⠄⠄⠁⠄⠉⠛⠛⣿⣿⣿⣿

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

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣛⡻⡴⠴⣦⣠⣀⣀⠀⠀⠀⠀⠀⣀⣀⣀⢤⠤⠲⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⡴⣠⠀⢀⠀⠀⠀⠀⠀⠋⠗⠿⠯⠷⠺⠙⠀⠀⠀⠀⠀⠀⠀⣄⠦⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⡤⢀⢀⠀⠀⠀⠀⠀⠀⠀⠁⡿⣭⡿⢯⣫⣷⣟⣯⢷⠈⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠑⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠜⣐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢯⣹⢿⣳⣞⣽⠿⣳⣽⢻⠀⠀⠀⠀⠀⠀⠉⠛⠙⠈⠀⢆⠱⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠎⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⢿⣳⣞⡽⣻⣷⣛⡽⣷⡞⣿⢿⠘⠀⠀⠀⡇⣹⠐⡠⣿⠀⠀⠀⢄⠑⠀⠀⠀⠀ ⠀⠀⠀⠁⡴⠐⠀⠀⠀⠉⠁⠉⠀⠀⠀⠀⠀⠏⣿⣿⣿⣻⣿⣟⡿⣿⡿⣟⣻⣿⣿⣿⣿⠙⠀⠀⡀⢳⡠⠇⣹⠉⠈⠀⠀⡀⢣⠈⠀⠀ ⠀⠀⠃⣰⠀⠃⠝⣣⣞⠭⣹⠼⣞⠭⠹⠀⠃⣿⣼⣦⣶⣿⣿⣿⣿⣿⣿⣿⣾⣶⣶⣴⣷⣿⠘⠁⠉⡶⢿⣶⡭⠽⣣⣝⠮⠑⡀⢆⠘⠀ ⠀⠁⣰⠀⡜⢯⡜⢯⡖⢎⡳⡝⢧⣚⡝⢧⡟⣿⢠⠀⠉⠛⠛⠉⠉⠉⠉⠉⠛⠙⠉⠀⡆⣿⢿⠾⣩⢷⣋⢧⢭⡳⢬⡻⣍⢳⢫⠀⢧⠈ ⠀⡾⠘⡇⡼⢞⡱⢻⣥⣛⢧⡖⢪⡵⡞⢣⣿⣿⢿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣶⣶⣷⣿⡿⣿⣾⢳⣞⠮⣙⢶⡝⢫⣱⠷⣎⠭⢲⢸⠀⢻ ⣗⠣⠼⣴⣦⢷⣹⠷⣣⠵⣫⡴⣛⣲⡝⢳⣯⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣦⣞⢧⡖⢝⣫⡴⢛⣱⡻⢦⣛⣍⡶⢘⠀⢼ ⡜⣹⠌⠣⢄⠐⣿⡳⢦⡹⢳⣭⠳⣮⡜⠽⣰⠀⠋⠼⢷⠸⠀⠀⠀⠀⠀⠀⠀⠗⡼⠳⠙⠀⣦⣛⣣⠶⢏⣥⡹⡶⠝⣮⠗⣩⡾⢀⠀⣺ ⢸⣇⠘⢁⡰⠏⣽⢯⣦⡝⡳⢎⢳⢯⣟⡳⠼⣼⢣⡞⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⣘⣬⠷⢳⣻⣝⢮⣓⡳⣎⠹⣳⢯⡴⢀⠀⠀⣺ ⢸⠀⣧⡘⠟⢰⡀⣀⣽⣻⣾⣷⣶⢷⡹⠻⢖⡿⣿⣿⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣾⣷⢿⡻⡝⡛⡾⣷⣶⣶⣟⡾⣀⢀⠀⠀⠀⠀⢺ ⢸⠀⠀⣄⢀⠀⠀⠀⡄⢻⠌⠢⡄⠐⡋⢿⠟⣾⣶⣷⣿⢸⠀⠀⠀⠀⠀⠀⠀⡇⣿⢻⡿⣶⣶⣿⢙⡈⠐⠤⡉⡞⢀⠞⡼⢦⠷⠙⠀⣻ ⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣠⣆⣿⣿⣿⢀⠁⠉⣏⣼⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣼⠀⠁⡉⣿⣀⣤⣤⣀⠀⡿⣈⠒⢌⠂⣇⠸⢺ ⣖⠈⠀⠀⠀⠀⠀⠁⠛⠿⠿⠿⡿⣿⣿⣿⣿⠿⡿⣿⣿⢨⠀⠀⠀⠀⠀⠀⠀⡅⣿⣿⣿⠿⣿⣿⣿⣿⢿⠿⠿⠻⣿⠄⠣⢁⢠⡏⢰⢼ ⠀⢳⠀⠀⠀⠀⠀⡄⣦⣴⣤⣤⣤⣀⣀⣄⣤⣤⣶⣷⣿⣿⢺⠀⠀⠀⠀⠀⡷⣿⣿⣶⣴⣤⣤⣤⣀⣀⣄⣤⣤⣶⣴⢷⠈⡰⠏⣰⠀⢼ ⠀⡀⡸⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠛⠛⠿⠿⠛⠛⠛⠉⠈⠀⠀⡀⢧⠟⣠⠀⠎⣠ ⠀⠀⡄⡝⠘⠀⠀⠀⠁⠛⠛⠿⠿⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣿⣿⣿⣶⣴⣦⣶⣷⣿⣿⣿⢿⠛⠀⠀⠀⠀⠎⢠⠀ ⠀⠀⠀⡀⡣⠱⠀⠆⣿⣿⣶⣶⣶⣤⣶⣶⣿⣿⢿⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣸⠀⠀⠀⠀⠀⠀⠀⣀⣄⣤⣶⢠⠁⠓⠜⢀⠀⠀ ⠀⠀⠀⠀⠀⢆⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣿⣿⠿⠿⠈⠀⠀⠀⠀⠀⠀⣆⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⣠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⠦⠉⠀⠀⠀⠀⠀⠀⠀⠀⠆⣾⣴⣧⣿⢸⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡠⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⢑⠪⠉⠀⠀⠀⠀⠀⠀⠀⡇⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⡠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⢑⠩⠀⠀⠀⠀⠀⡄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠤⡢⠓⠉⠉⠉⠈⠁⠀⠀⠀⠀⠉⠉⠉⠉⠛⠼⡬⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠈⠀⠀⠀⠀⠀⡇⠸⠀⠀⠀⠀⠀⠀⠀⠀⠓⢛⢛⠚⠗⡼⠤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠒⠋⡛⣛⡛⠒⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣟⠘⠀⠀⠀⠀⠀⢻⠈⠀⠀⠀⠀⠀⠀⠛⠞⡡⠊⠖⠤⢦⠒⠓⠉⣀⣷⢽⠤⠦⠿⣿⣿⢠⣀⢄⡲⢿⠹⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠙⠀⠀⠀⠀⡇⢿⠈⠀⠀⠀⠋⡿⣿⡴⢀⠀⠀⠀⠀⠀⠀⡀⢆⣮⣿⠀⡇⡟⣴⣤⠤⠤⠤⠒⡙⣦⣽⠳⠈⠀⠀⠀⠀⠃⠀⠀⠀ ⣿⣿⣿⠹⠀⠀⠃⡉⣽⣼⠤⠷⡮⣽⣼⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⣽⡼⣯⠀⠉⠈⠀⠀⠀⠀⣝⣧⠻⠈⠀⠀⠀⠟⡿⠀⠀⠀ ⣿⣿⣿⣿⢻⠈⠀⢣⡾⢸⠀⡆⢿⡜⡠⠈⠁⠘⠀⠀⠀⠀⠀⠀⠀⠀⡀⠹⠛⡼⠀⠀⠀⡀⠀⠀⠀⠀⡀⢦⣌⣾⢿⣿⣠⣏⢠⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠘⠀⣄⣷⠳⠉⢧⢸⣆⠋⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣏⡇⡇⠎⢠⠉⠀⠀⠞ ⣿⣿⣾⣴⣱⠀⣄⠑⠀⠀⡀⣦⣿⢸⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡟⡾⢀⡟⣠⠁⡼⠀ ⣤⢀⠀⠀⡀⠳⠀⡀⢣⠈⠀⡀⣧⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣾⢁⡞⢠⠃⣰⠀⠀ ⠀⠀⠀⠀⠀⡀⢢⠈⠀⢧⠙⠀⠀⢦⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⡾⠀⠁⠛⠼⣠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣄⠳⠈⣦⢽⠾⠛⡕⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣴⢁⠔⣠⢧⣄⠳⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠢⠉⣀⣤⣶⣾⣖⢶⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⣫⠴⢀⠀⠀⡀⢢⠓⣏⠘⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢌⠒⠉⣄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⠵⣞⣠⢀⠀⠀⠁⠉⠚⠔⡤⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⢄⠢⠑⠈⠀⠀⣀⠢⡑⣍⡿⡙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⠟⣴⣀⣀⣁⣉⣒⠒⠤⠤⠠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⠤⠤⠢⠛⡴⠉⣇⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡷⣊⢁⠚⠴⣠⢀⠀⠀⠀⠋⠽⠦⠿⠹⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠄⠤⠤⠒⠒⣸⠏⢠⡟⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢏⢀⠀⢧⣰⠀⠀⠀⠀⠀⠀⠉⠊⡖⠠⠀⡀⢢⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣄⣤⣱⠀⠀⠏⢃⢡⡾⢀⠀⠸⠀⠀⠀⠁⠸⠀⠀⠀⠀⠀⠀⣿⠀⠀⡀⢼⠤⠤⠤⠠⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢄⠓⠈⠀⠀⠀⡀⣟⣸⡞⢀⠀⡀⠀⠀⠀⠀⡞⢀⠀⠀⠀⠀⠀⠀⣧⠀⠀⡇⢶⠖⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⢄⠢⠒⠋⣸⢃⢰⠀⠁⠀⠀⠀⠀⡞⢀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠁⣿⠻⠙⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠢⠒⠑⠉⠉⠉⣿⢠⡏⠀⠀⡄⠓⠈⠀⠇⢀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⡏⣿⠻⣈⣄⠤⠲⠑⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢠⠇⣠⠀⠀⠀⠀⢰⠀⣀⠀⠀⠀⠋⠰⠀⠀⠀⠁⣸⠀⢸⣹⠀⣄⠢⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠒⠒⠒⠒⠲⣗⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⡇⠈⠀⢀⣹⠯⠙⠉⡉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡴⠀⠀⠀⠀⠀⠀⠀⠁⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠼⣽⣤⠤⠤⠤⠤⠤⠠⠒⠐⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠄⠦⠗⣸⠈⠀⠀⠓⠓⠚⠙⠚⡋⢻⠀⠋⠱⠋⠻⠀⠉⠉⠉⠀⠀⠆⢠⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠛⠝⠿⢾⢱⠉⠹⣻⡾⠿⣿⣿⣿⣿⠏⣿⣿⣿⡼⣀⠀⠀⠁⣟⠻⠁⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠋⣴⠀⠽⣾⢹⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠋⠘⠀⠀⠀⣀⣆⣿⠻⣇⡏⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⡟⣠⠉⡏⡇⣇⣿⣿⣷⣿⣿⣿⣞⣿⣿⣿⢸⠀⠁⠉⠂⠿⣿⣿⡾⢷⣹⣄⠤⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⢴⣀⠀⡀⣿⡿⣿⣯⣿⣿⣺⢸⠀⣿⣿⣿⢸⡀⣀⠀⠈⣯⣿⣼⢣⡀⣶⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠋⣴⢀⠀⠀⠀⠀⡞⣿⣿⣼⣿⣿⢿⢀⠃⣾⣿⣾⢿⠸⠒⡟⣿⣿⣿⢹⡀⠱⠀⡀⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠊⡰⢀⠀⠀⠀⠁⠚⡴⢤⡳⣿⢸⣯⡞⣿⣤⠷⣿⣿⣹⣾⣿⠿⣿⣿⣽⣯⡄⠘⡄⠸⠀⠀⡀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⡤⢀⠀⠀⠀⠀⣄⣷⢿⣿⡿⢿⡀⣷⢿⣍⢿⡦⣾⣿⣽⣿⣸⠀⡄⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣷⣿⢿⠟⣼⣷⣖⡖⣭⠛⣾⣴⣠⠀⠀⠉⡐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣢⣖⣭⣭⢬⡴⣤⣄⢤⠢⠖⠿⡤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⠤⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠂⢉⠤⠐⠋⠈⠡⡈⠉⠐⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⢠⣤⠔⠁⢀⠀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⠈⠱⡤⣤⠄⣀⠀⠀⠀⠀⠀ ⠀⠀⠰⠁⠀⣰⣿⠃⠀⢠⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠈⢞⣦⡀⠈⡇⠀⠀⠀ ⠀⠀⠀⢇⣠⡿⠁⠀⢀⡃⠀⣈⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⢢⠰⠀⠀⢺⣧⢰⠀⠀⠀⠀ ⠀⠀⠀⠈⣿⠁⡘⠀⡌⡇⠀⡿⠸⠀⠀⠀⠈⡕⡄⠀⠐⡀⠈⠀⢃⠀⠀⠾⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠇⡇⠃⢠⠀⠶⡀⡇⢃⠡⡀⠀⠀⠡⠈⢂⡀⢁⠀⡁⠸⠀⡆⠘⡀⠀⠀⠀⠀ ⠀⠀⠀⠸⠀⢸⠀⠘⡜⠀⣑⢴⣀⠑⠯⡂⠄⣀⣣⢀⣈⢺⡜⢣⠀⡆⡇⠀⢣⠀⠀⠀⠀ ⠀⠀⠀⠇⠀⢸⠀⡗⣰⡿⡻⠿⡳⡅⠀⠀⠀⠀⠈⡵⠿⠿⡻⣷⡡⡇⡇⠀⢸⣇⠀⠀⠀ ⠀⠀⢰⠀⠀⡆⡄⣧⡏⠸⢠⢲⢸⠁⠀⠀⠀⠀⠐⢙⢰⠂⢡⠘⣇⡇⠃⠀⠀⢹⡄⠀⠀ ⠀⠀⠟⠀⠀⢰⢁⡇⠇⠰⣀⢁⡜⠀⠀⠀⠀⠀⠀⠘⣀⣁⠌⠀⠃⠰⠀⠀⠀⠈⠰⠀⠀ ⠀⡘⠀⠀⠀⠀⢊⣤⠀⠀⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠄⠀⢸⠃⠀⠀⠀⠀⠀⠃⠀ ⢠⠁⢀⠀⠀⠀⠈⢿⡀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⠀⠀⠸⠀ ⠘⠸⠘⡀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠁⠀⠃⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⢠⠀⠀⡇ ⠀⠇⢆⢃⠀⠀⠀⠀⠀⡏⢲⢤⢀⡀⠀⠀⠀⠀⠀⢀⣠⠄⡚⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀ ⢰⠈⢌⢎⢆⠀⠀⠀⠀⠁⣌⠆⡰⡁⠉⠉⠀⠉⠁⡱⡘⡼⠇⠀⠀⠀⠀⢀⢬⠃⢠⠀⡆ ⠀⢢⠀⠑⢵⣧⡀⠀⠀⡿⠳⠂⠉⠀⠀⠀⠀⠀⠀⠀⠁⢺⡀⠀⠀⢀⢠⣮⠃⢀⠆⡰⠀ ⠀⠀⠑⠄⣀⠙⡭⠢⢀⡀⠀⠁⠄⣀⣀⠀⢀⣀⣀⣀⡠⠂⢃⡀⠔⠱⡞⢁⠄⣁⠔⠁⠀ ⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀

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⠀⠈⠊⠓⠃⠒⠊⠓⠐⠚⠊⠒⠋⠑⠒⠊⠑⠊⠙⠂⠘⠒⠙⠒⠊⠓⠊⠑⠒⠚⠑⠒⠋⠐⠚⠙⠂⠑⠘⠛⠂⠚⠋⠐⠉⠀ ⡔⠞⣂⠜⡩⠖⣉⠤⡜⠎⢉⢦⠆⡘⢓⢌⡰⠜⡒⢎⡃⢌⠱⢣⢆⡑⠎⣉⠦⢃⡰⢎⠑⣨⠞⡃⢌⡰⠞⠃⢢⢍⠢⣙⡌⠸ ⣳⠎⢡⠲⢌⠲⢃⢢⢍⠣⢄⡱⢎⡄⠚⡡⢖⡃⢌⠬⢓⡌⠣⢌⡱⠣⢌⠣⣑⠬⡒⢍⠢⢎⠇⢂⡜⡑⠱⢢⢌⠱⢢⠜⠢⢸ ⢳⠤⣋⠤⢋⣅⠫⢟⡛⠻⣙⡸⠟⣋⡙⢛⡤⠛⢛⣋⠜⡙⢫⡟⠛⢻⡍⢒⠥⡒⢍⡛⢋⢚⢡⢬⡙⠦⡋⢛⣋⡙⢎⡑⢨⢸ ⢺⣍⠒⣌⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⢢⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡙⠰⣯⣿⣿⢿⢢⡔⠋⢤⡟⣿⣿⣿⠍⢢⡑⢸ ⢷⡈⠹⣇⣿⣿⣿⣰⠷⢁⣆⣿⣿⣿⣿⢸⢱⣿⣿⣿⣿⣈⡶⠎⣇⣿⣿⣿⣿⡆⡏⣿⣿⢿⣀⡾⠁⢶⡏⣿⣿⣿⠇⡰⠸⢸ ⡼⠖⡉⣿⣿⣿⣻⣑⠢⣑⠦⡇⣿⣿⣿⣸⠱⣿⣿⣿⣿⢃⢢⢍⠢⣿⣿⣿⣽⢆⡏⣿⣿⣿⢅⠢⣘⠰⣟⣿⣿⣿⢊⡥⠌⢸ ⡞⢍⠢⣿⣿⣿⢽⠪⣑⠦⣉⠧⣿⣿⣿⣸⠱⣿⣿⣿⣽⠲⢆⢉⢢⣿⣿⣿⣻⢤⡟⣿⣿⢿⡡⢆⡘⢬⡟⣿⣿⣿⠅⢢⡘⢸ ⢧⡐⢙⣧⣿⣿⣿⠟⣉⠥⢋⡿⣿⣿⣿⣸⠱⣿⣿⣿⣿⡅⢎⡃⢌⣿⣿⣿⣿⡌⡗⣿⣿⣿⡹⢌⠭⡛⣿⣿⣿⣿⡒⢆⠌⢸ ⣱⡰⠚⢡⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠱⣿⣿⣿⣽⠲⢌⠲⢌⣿⣿⣿⢿⣃⡆⣷⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⡑⢣⢌⢸ ⣹⠦⡑⢨⡸⠖⣉⣰⣼⣵⣌⢣⣿⣿⣿⣹⠦⣃⣔⣨⣱⠱⣌⠣⢌⣣⣔⣎⣁⠲⣌⠩⣒⣃⣬⣱⣖⢉⣧⣿⣿⣿⡡⠜⠢⢸ ⠽⣃⠢⢜⡒⢍⠢⡜⡑⠬⡒⢎⣿⣿⣿⣹⠴⢊⡱⢆⡘⠧⡂⢘⡱⢆⡘⢌⡱⠣⢅⢊⡰⢓⡌⠣⡔⠘⣯⣿⣿⣿⠥⡊⢌⢸ ⢚⢡⢬⠖⣉⠒⢤⡙⠤⡓⢌⡔⣾⣶⣮⢲⡍⢊⣑⠦⡅⠢⢎⡌⡑⠬⢊⣑⠣⢠⡸⠖⣉⠰⡱⢊⡥⠒⣎⣷⣴⣾⡡⠖⢂⢸ ⡼⢃⡱⢆⡘⠦⣃⠑⣨⠱⡜⢊⢥⡒⢊⢥⠒⢎⡡⡕⢊⢣⢃⢌⡱⠎⢌⡩⠰⣚⠍⢢⡙⡡⠱⢎⡡⠬⢊⣑⠦⢉⢢⡱⢌⢸ ⡄⢒⡩⢍⡩⢍⢩⠭⡍⠩⠭⢍⡩⠭⢍⡩⠭⢍⡩⠭⠍⢩⠭⡍⠩⠭⢍⠩⡭⠍⠩⢭⠍⡩⠭⠍⢩⠭⢍⡩⠭⢍⡩⠬⡚⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠉⠉⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠉⠉⠙⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠈ ⠄⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠃⠟⣿⣿⣿⣿⣿⣿⢿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⢸ ⡁⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⢀⠃⣿⣿⣾⣠⠀⠀⡀⣧⣿⣿⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⣿⣿⢸ ⠁⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⡇⣿⣿⣸⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⠁⠀⣿⣿⣿⢸ ⠂⣿⣿⣿⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠃⣿⣿⣿⠀⡇⣿⣿⢽⠀⠀⠀⠀⠃⣿⣿⣾⠀⠁⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⠀⣷⣿⣿⢻⠙⠛⡿⣿⣿⣿⠀⠀⠏⠻⠟⣿⣿⣿⣿⠀⠀⣦⣿⣿⢿⠛⠛⠟⣿⣿⣿⢠⠃⣿⣿⣿⣴⣤⣀⣀⣀⣟⣿⣿⢸ ⠀⡀⣤⣶⣶⣶⣶⣤⣦⣶⣶⠀⠄⣶⣶⣶⣤⣶⣶⣶⠀⠀⠀⡀⣤⣶⣶⣶⣶⣴⣠⢀⠀⡇⣿⣿⣿⠀⠀⠀⠀⠀⣯⣿⣿⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⢿⠻⠛⠛⠛⣿⣿⣿⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⣦⣶⣶⣶⣶⣶⣶⣶⣶⢰

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

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

⠀⠀⠀⠀⠀⠀⠀⠀⡗⣿⣿⣿⣿⣿⣿⣶⣤⣤⣤⣤⣀⣤⣤⣦⣶⣿⣿⣿⣿⣴⢀⠀⠀⠁⠚⠴⣠⣉⠞⡴⣠⠀⠀⠀⠀⡀⢀⠀⠁⠒ ⠀⠀⠀⠀⠀⠀⠀⠁⣿⣿⣿⣴⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣿⢿⠻⠋⠞⡴⣀⠋⠞⡴⢀⠀⠀⠀⠀⠉⠋⠒⠤⡠⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠟⣿⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣷⣹⣤⡤⣤⣤⢤⠤⠶⠶⠷⣿⣬⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⣿⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠹⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⣷⠹⠀⠀⠉⠖⡤⢀ ⠀⠀⠀⠀⠀⡞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⣹⢀⠁⠋⠿ ⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢿⣿⣿⣿ ⠀⠀⠀⠇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿ ⠀⠀⠀⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿ ⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢻⠉⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠌⠹⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⣠⣿⡸⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⡿⠹⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣠⠀⠀⡏⢠⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣿ ⣁⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠏⢠⠀⠀⠀⣸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿ ⡀⣄⣷⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢠⠀⠀⠀⠎⢀⠀⡏⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⣿ ⠀⠀⡀⣷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠖⢑⠉⠉⠛⡬⢁⠋⡔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡟⣿⣿⣿ ⠤⠲⠒⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠖⣠⠀⠀⠀⠀⠀⠀⣎⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⣈⣄⣦ ⠉⠛⠟⣿⢹⠋⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠊⠖⢶⠻⠛⠻⠟⠶⠖⠤⣧⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡿⣿⣿⣿⣿⠻⠉ ⣾⣤⣠⣀⣀⣀⣀⢤⠳⠙⠀⠀⠀⠀⠀⠊⠴⣀⠀⠀⠃⡴⡇⢀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠞⡴⣿⣿⣛⣛⣽⣭⣦⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢰⠀⠉⠟⡩⠾⠓⠘⠀⠆⣹⠋⢠⠙⠉⠉⠉⠟⢀⠀⠀⠀⠁⠉⠒⠖⠴⠤⠤⣤⣦⢶⠛⠹⣬⣤⣤⣤⣤⢥ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡹⣉⣀⣄⠀⡀⢠⠀⠀⡁⣀⠀⣀⣻⣟⣶⣿⠀⠀⠋⠴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣾⣶⣷ ⠀⠀⠀⠀⠀⠀⠀⠁⠋⡿⡠⣀⠀⠀⠁⠉⠟⣿⣸⠠⡏⣿⠿⠹⠉⡀⣧⣤⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣄⢦⠓ ⠀⠀⠀⠀⠁⠊⠖⣳⠈⡀⢶⡠⣀⢀⠀⣄⣽⣯⣾⣤⢀⡇⠀⣧⣀⣦⣼⣤⣠⠦⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠀⠀⠁⣄⠰⠀⠂⠤⡤⣀⣀⠀⣀⢀⠄⠁⡰⠀⡏⢶⠀⡀⠤⠀⠀⠀⡀⢄⠤⠒⠑⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠙⠀⠀⠀⠀⠉⠔⣠⠁⠞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠤⠲⠒⠑⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢄⠦⠙⠈⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠂⠳⠛⠛⠙⠐⠀⣆⣿⣶⠶⠶

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⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣿⣸⠀⠀⣆⣿⣿⣿⣿⣿⣿ ⣿⠿⠿⠾⠴⠠⠀⠀⠀⠀⠋⡿⣿⣿⣿⢀⠀⠀⡇⣿⣿⣿⣿⣿⣿ ⣿⣿⣸⠀⠀⠀⠀⠁⠟⣿⣿⣿⣿⣿⣿⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿ ⣿⣿⢹⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣸⠀⠀⠀⡏⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⢿⠙⠀⠀⠀⠀⣄⣿⣿⣿⣿⢸⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢿⠈⠀⠀⠀⠀⡀⣠⠀⡄⠑⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⢿⠈⠀⠀⠀⠀⠁⠟⠙⠀⢢⠈⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢿⠙⠉⠉⠟⣿⣿⡀⠢⠖⢠⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣾⣤⣀⣀⣄⣤⢀⠀⠀⠀⠀⡀⣀⣧⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠇⠈⠀⠀⠀⠀⠀⠀⣄⣷⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⡟⢸⠀⠀⠀⠀⠀⠘⠀⠀⣦⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⠟⡿⣿⢻⠀⠀⠀⠀⠀⣶⠀⠀⠁⡟ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠁⡿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠃⡿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠈⠀⠀⠀⠃⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠖⠶⣷⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠀⡀⣷⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⡇⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠉⠀⠀⠁⠋⣿⣿⣿

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⣿⣿⣾⣴⣭⣉⣉⣍⣤⣷⢁⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢋⡿⣿⣿⣿ ⣿⣥⠟⡿⣿⣿⣿⣿⢿⠄⡄⣥⣉⣛⣛⣙⣉⣍⣤⣷⣿⣿⢼⢃⡿⣿⣿⣿⣿⣿ ⢸⡀⣄⣿⣿⣿⣿⣿⣿⠄⠟⣿⣿⣿⣿⣿⣿⣿⣿⠿⡙⣦⢻⣎⣿⣿⣿⣿⣿⣿ ⣿⠜⠓⣿⣿⣿⣿⣿⣿⡇⣶⣼⠄⠃⣿⣿⣿⣿⣿⣿⣿⢿⡘⢷⣎⣿⣿⣿⣿⣿ ⣿⣿⡙⣦⣿⣿⣿⣿⣿⡈⠹⠈⠄⡀⣀⣀⣧⣿⣿⣿⣿⣿⣿⡘⢷⡌⣷⣿⣿⣿ ⣿⣿⣿⢿⡙⣦⣷⣿⣿⢿⡌⣷⠹⠄⠿⠿⣿⣿⣿⣿⣿⣿⣿⢿⡏⣾⠄⣷⣿⣿ ⣿⣿⣿⣿⣿⣴⠄⡀⣄⣤⣶⠲⣍⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠄⡅⣿⣿ ⣿⣿⣿⣿⢁⠄⠄⠄⡀⠁⠟⠿⠿⠿⠛⣛⣙⣉⣭⣬⣦⣶⣷⣴⢀⠄⠄⠄⣧⣿ ⣿⣿⣿⣿⣹⠦⠷⠛⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠛⠙⠉⠛⠿⠸⣷ ⣿⣿⣿⣿⣴⣩⠛⡛⣭⣤⣤⢀⠄⠄⣀⣄⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡟ ⣿⣿⣿⣰⡟⣿⣿⣿⣿⣿⢿⠿⠙⠈⠄⠄⠳⠻⣙⣍⣦⣷⣿⣿⣿⣿⣿⣼⠋⣿ ⣿⣿⣿⠻⣌⣷⣿⣿⣾⣴⣭⣋⣛⣤⠦⠓⠞⡼⣎⣷⠻⠠⡀⣀⣀⣀⣂⠟⣿⣿ ⣿⣿⣿⣿⣿⠿⠛⠛⠿⣿⣿⣿⢸⠄⠄⡏⠋⣯⣿⣿⣿⢸⠄⡆⠚⠈⠄⡄⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠄⠄⢒⠂⣴⣶⣦⣄⢀⠄⠄⣳⣾⠄⠄⡇⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⠄⠄⠄⠄⠄⠄⠃⢀⢀⠄⠄⠄⠄⠄⠁⡟⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠄⠄⠄⠄⠄⠄⡄⠄⠄⠄⠄⠄⠄⠉⣯⣿⣿

⠂⠀⠂⢳⡖⠔⠠⠀⠀⠐⠒⠒⠒⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣦⣿⡹⣬⢻⣘⠀⠆⠂⠐⠇⠛⡿⣿ ⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣷⣿⣯⢹⠀⠀⠉⡿⣿⣿⣿⣿ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠘⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣿⣿⣿⣽⠉⣍⡤ ⠀⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣾⣿⣿⣿⣿⢸ ⢻⢃⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠯⣿⣿⣤⡄ ⣿⠘⠀⠀⡇⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣻⡈⢋⢁⠈ ⣶⢸⠈⠀⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠸⡀⢧⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣼⣁⡮⣿ ⣀⢻⢸⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⣄⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡽⣿⣿ ⠀⡇⢳⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⡀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿ ⣿⣿⡞⠀⡏⣯⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢽⠀⣀⢻⠀⡀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣙ ⢹⣏⢹⠘⢳⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⡆⠘⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣼⣭ ⣠⣀⣿⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⢹⠀⠀⢧⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⡀ ⠀⠃⡈⢿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡇⠂⠘⣇⠀⢰⠘⣆⡙⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿ ⠀⡀⣤⣄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⡾⠀⢧⡁⡏⡇⢀⠀⡀⢦⡙⢦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿⣻ ⠀⠀⠀⠀⡄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢧⢰⠀⡀⠸⢱⣸⠀⠀⠀⠀⡀⢦⠳⢌⠐⠀⠀⠀⠀⠀⠀⠀⠀⠇⣿⣿⢻ ⠀⠀⠀⠀⠀⡄⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⢫⣰⠀⠀⠀⢁⡾⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠁⡿⣿⣷⣿ ⠀⠀⠀⠀⠀⠀⡀⣿⠲⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡵⣞⢀⠀⠀⠀⠀⡿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠳⠀⠀⠀⠀⠁⡟⢿⠘⣿⢿ ⠀⠂⠐⠀⠀⠀⠦⣦⢧⡙⠦⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⣋⢴⣀⠀⠀⠀⠀⠀⠇⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠈⠁⠟⣼⣿⢶⠶⣰⣄ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⣄⠳⡉⣅⠤⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠔⡠⣀⠀⠀⠀⠀⠀⠀⠀⠁⣸⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⡼⢀⠀⣰⢁⠀⠀⠀ ⠀⠀⠄⠦⠒⠒⠉⠈⠀⠀⠀⠀⡀⣤⣳⠹⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡷⣶⢾⠐⡶⠼⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⢀⠀⠀⠀⠀⠀⠀⠀⣀⢤⠢⠗⠩⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠚⡶⣼⠀⢐⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⠤⠲⠒⠙⠉⠉⠉⠀⠀⠁⠈⠀⠀⠀⣄⠠⣀⠤⠤⠀⠀⠀⠀⠀⠂⠐⠤⣠⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣁⠞⣠⢈⠀⠀⠀⠇⣿⣿⢿⣌⡼⡷⣷⡻⠣⡏⢳⠋⣏⢿⠈⡃⠈⣀⠳⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠴⣀⠀⠀⣄⠀⠀⠀⡿⣿⣿⣿⣿⡜⡻⣳⣯⢫⣦⡞⢼⣄⣿⣿⠨⢧⠀⠀⣧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠖⣥⢙⠈⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠻⢯⣎⢞⠝⢿⡏⠘⡇⣿⢿⠘⢽⠀⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠋⠴⠦⠓⠛⠟⠥⡴⣠⣀⠀⠀⠀⡀⣀⣤⠾⠓⠉⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⢿⣝⡹⣤⡱⣿⣯⠘⣿⣿⣿⡽⠻⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠋⡼⣋⡾⢠⠂⠐⡀⣱⣉⣉⣍⣭⢭⠯⠒⠒⠓⠉⡉⠉⠈⣀⣤⠢⠙⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠙⣄⣷⣿⡍⣿⣿⣿⣿⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⠴⣀⠀⠀⠁⡟⣴⡿⣰⠀⠀⠋⠖⡤⣀⣀⣀⣀⣤⠦⣙⣌⠤⠓⠈⣀⣀⣄⣤⠦⠷⠛⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢿⡙⣾⣤⣦⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠁⠉⠞⡴⣠⠀⠀⠁⠉⠞⣠⣿⡿⣰⠃⡴⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⠄⢻⣈⠣⠈⠀⠀⠀⠀⣄⠳⣈⣦⣯⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⠉⠋⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⡤⣀⣉⠉⠚⠶⡤⣠⣀⠀⠀⡟⣿⣰⠀⡆⠋⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣅⡷⢻⠀⠀⠀⠀⠀⠀⣄⠳⡙⣄⠷⣻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠒⠔⡤⣨⣀⣧⣿⢿⠿⠛⠙⠀⠃⣾⢠⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡇⡸⡟⣿⠀⠀⠀⠂⠿⠈⠀⡀⣤⢾⡓⣮⣿⣿⣿⣿⣿⣿⣿⣿⣬⣦⣶⣶⣿⣿ ⠄⡀⠀⠀⠀⠀⣆⠹⡀⣿⣿⣿⣿⣿⢿⣼⢀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢿⠛⠛⠛⠛⠛⡿⢹⢺⣯⣟⠀⠀⠀⠀⣄⢳⠈⠀⠀⡆⡘⣦⡿⣿⣿⣿⣿⣽⣤⣀⣤⠻⠈⠀⡀⣦ ⠀⠀⠀⠀⠀⠀⠀⣧⠹⡇⣿⣿⣿⣿⣴⠀⠀⠀⠀⠀⠀⣿⢹⠀⠀⠀⠁⠟⣻⣾⣴⣠⣀⣀⣀⣀⠀⡀⣀⠀⠀⠀⠀⠀⠀⢆⠙⠀⠀⠀⢦⡌⣳⣯⣻⣿⣿⠻⠈⠉⣾⣿⠻⠈⡏ ⠀⠀⠀⠀⠀⠀⠀⡇⣿⡿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⣿⣿⠈⠛⠟⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢐⠀⠀⠀⢧⡘⢧⣿⣿⣿⣿⣿⣿⣿⡙⣧⣾⢁ ⠀⠀⠀⠀⠀⠀⠃⣸⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢶⣶⢘⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠀⠉⠉⠀⣄⠱⣇⡿⣿⣬⡿⣻⣌⣦⣷⣼⣿ ⠀⠀⠀⠀⠀⠁⡿⠀⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⢀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠞⡤⢁⠮⠒⠓⠙⢦⣦⣿⣿⡼⣷⢷⠙⠘⠒⡗ ⠻⠛⠈⠀⠀⡿⣸⠀⣿⣼⠀⠃⠙⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⠶⣤⣤⢦⡙⣈⢀⠀⠋⣾⢿⠛⣞⣿⣿⡈⢰⣆⢸⠀⠀ ⡀⣦⣿⢿⡟⣿⢸⠀⣿⢠⠀⠁⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⣠⠀⠀⠀⠀⠀⠀⣀⣀⣀⢀⠀⠀⣄⣷⣿⣿⣿⡙⠛⣟⠿⡶ ⠀⠀⡆⣿⣿⣿⣿⡿⣸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⣿⣿⣿⣿⢠⠀⡄⢿ ⠀⠀⠀⡟⣿⢹⣿⣿⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠊⠀⠉⠀⠀⠀⠋⣿⣿⣿⣿⣿⢻⠀⠀⡇ ⠀⠀⠀⣿⣿⣇⣻⣿⢣⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢧⠈⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⡼⣠⢀⣷⠉⠟⢻⠉⠛⡿⣿⣿⣿⣼⣤⣿⣿⡹⢻⡄ ⡇⠀⡇⣿⣿⡇⣿⣿⡟⠘⡇⢹⣇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⣧⠈⠀⠀⠈⠀⣄⠦⠳⡟⣹⠈⠏⠿⡙⣉⠛⡿⣿⣿⣾⣥⣟⣿⢸⠀⣯⣿⣿⡿⠸ ⢩⠀⡇⣷⣿⡇⣿⣿⣿⢸⣿⠸⠀⢂⠈⠀⠀⠫⠴⡠⣄⢧⠘⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢣⠈⠀⢸⠀⠀⡀⣁⣯⣶⣷⣿⣾⣶⣶⣶⣤⣧⣿⢿⣠⠇⣿⢾⠠⣇⣿⣿⢿⣿ ⠨⠀⢿⠟⣿⡇⣿⣿⢿⢆⢸⠀⠀⡃⣎⠛⡴⢁⠞⣡⠞⣠⠀⠀⠀⠏⠠⠀⢀⠀⠀⠀⠀⠀⠀⠃⣘⡇⢻⠀⠀⠀⢸⠀⣏⣿⣿⢿⠒⠒⠖⠴⣿⣿⣿⡼⣄⣿⢸⠀⡇⣾⣿⣿⣿ ⢶⠀⣿⣿⣿⡆⣷⣿⣿⡟⢽⠀⠀⠁⣼⢁⠞⣫⡴⢀⠀⠀⠁⠼⠉⣿⢸⠀⠀⠀⠀⠁⠉⠟⡿⣿⢸⡇⣿⠀⢸⠀⢸⠃⣿⣿⣿⣿⠉⠋⠖⡧⣿⣿⣸⢸⠀⣿⢸⠹⡄⣺⣿⣿⣿ ⠛⠀⣿⣿⣿⠦⡿⣿⣿⣿⣿⢋⡀⣟⠈⣭⠞⢠⠀⠀⠁⠞⣠⠒⣧⣿⢁⠸⠀⠁⠟⣿⣿⣿⣿⣿⢹⡇⣿⢹⢱⠀⢸⡿⣿⣿⣿⡟⣹⠀⠿⡇⣿⣿⠀⣇⠘⣿⢿⣿⠀⣿⣇⣿⣿ ⣿⢹⣀⣯⣿⢸⣖⣿⣻⣿⣿⠺⡏⣿⣴⣀⠀⠀⠀⠀⡿⢀⠃⠿⡿⣼⡜⠀⠟⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⡇⠀⣿⣿⣿⣿⣠⡀⣿⠀⣧⡌⣿⢸⠀⡀⢻⣿⣿⣿⠈⣿⡗⣿⣿ ⡇⣿⣿⣿⣿⢿⠀⣧⣾⣷⣿⣻⣀⣿⠀⠀⠀⠀⠀⠇⣿⠀⠃⣿⣾⣾⢃⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣸⠹⣿⣿⣿⣸⠀⠀⣧⢸⡇⢹⣿⢨⠀⠀⡆⡿⣿⣿⢸⣄⡧⣿⣿ ⡇⣿⣿⣿⣿⣿⠛⠀⣷⡿⣿⣇⡞⣿⠘⠀⠀⠀⠀⡇⣿⣿⣿⣴⣏⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣏⡿⣿⣿⢀⠀⠀⡄⣿⠀⣿⣿⢸⠀⠀⠀⣷⣿⣿⣿⠈⡄⣿⣿ ⠀⣿⣿⣿⣿⣿⢹⠀⠀⣧⣿⡸⣿⣿⢿⠉⠛⠟⡿⣿⣿⣶⢫⡴⣇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⠀⣧⣿⣿⣥⣿⣿⠘⠀⠀⠀⣇⢻⣧⣿⢿⠀⠀⠀⡆⣿⣿⣿⢻⠀⣿⣿ ⠀⣇⣿⣿⣿⣿⣿⠨⠀⠀⣦⢿⣧⣿⣿⣿⣿⣿⣿⣻⣟⣤⢹⠀⡇⣿⣿⣿⣇⣿⣿⣿⣿⣿⣿⣼⣠⠈⠃⣠⣿⣿⠹⣧⣿⢻⠀⠀⠀⡛⣿⡿⣿⣿⢿⠈⠀⠗⣇⣿⣿⣿⢹⣇⣿ ⠈⡀⣷⣿⣿⣿⣿⢻⠀⠀⠀⣇⣾⣿⣾⣠⣀⣀⢀⡇⣿⠙⣏⠛⡟⣿⣿⣿⡟⣼⣿⣿⣿⣾⣠⠀⠀⠀⡄⠀⣇⣿⣿⡿⣿⣿⠘⢻⠀⣿⡿⣿⣿⣿⣿⢹⠀⣧⣹⣿⣿⣿⣿⡯⣿ ⢿⠀⡆⣿⣿⣿⣿⣿⠿⠘⠂⡰⠀⣇⣿⠈⠀⠃⠁⣿⣿⣿⡄⢻⡄⣿⣿⣿⢸⢷⣾⣴⣀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⣿⣿⣿⢹⡇⡟⣿⣿⣿⣿⣿⣿⣿⠸⡇⣿⣟⣿⣿⣿⣾⣿ ⣧⠹⠀⣆⣿⣿⣿⣿⣾⣷⠈⠀⠀⠀⣷⢻⠉⡗⣸⣿⣿⣿⢸⣷⢈⣿⣿⣿⢿⡎⠘⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⡞⣿⣿⣿⣿⣿⣿⣿⣿⢻⡇⣿⢿⣷⣿⣿⣿⣿ ⡀⣷⠸⠀⣧⣿⣿⣿⢿⡿⢻⠘⠈⠁⡈⣿⢻⡀⢻⣇⣿⣿⣿⡈⢻⡇⣿⣿⡇⠸⢀⠀⠀⠀⠀⠀⠀⠀⠁⠛⡜⠈⣆⣿⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⡼⣿⣿⣿⣿

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

⠆⠘⡄⠷⠈⠀⠀⠀⢦⠙⠀⠀⠀⡇⠀⠤⠤⢾⠠⠀⠀⠀⡀⣻⢀⢿⠛⠈⡀⣀⢤⠦⠳⠉⠈⠀⠀⠀⡇⠀⠀⠀⠀⠀⠟⠀⠀⠀ ⠀⡄⠳⠀⣧⠘⠀⠀⠀⡄⠻⠈⠀⡿⠀⠁⡟⢠⠀⠀⠀⠀⠀⡏⠸⠀⠀⣀⣄⣤⠤⠒⠛⠉⡈⣄⢤⠤⣶⠛⠉⠈⠀⡟⢠⠀⠀⠇ ⠀⠀⠀⢦⠙⣇⠘⠀⠀⠀⡀⢻⡿⢰⠁⡾⢠⠀⠀⠀⠀⠀⠏⣲⢷⠈⠀⠀⠀⠀⠀⠀⠀⡀⣀⣄⠤⠶⠒⠙⡉⣀⡤⣶⠑⠈⠇⣰ ⠀⠀⠀⠀⡀⢠⢇⠘⠀⠋⡴⢃⣻⠞⣠⠀⠀⠀⠀⠀⠀⠟⢠⠀⡀⣧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠦⠓⠉⣇⣸⠀ ⠀⠀⠀⠀⠀⠀⡃⣆⠛⢠⠁⡿⣴⠀⠀⠀⠀⠀⠀⠀⡏⢀⠀⠀⠀⡀⢶⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⣶⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣤⣿⠀⡿⢠⠀⠀⠀⠀⠀⠀⠀⠃⣰⠀⠀⠀⠀⠀⠀⣦⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣦⠷⢻⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⣇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠹⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠈⠀⠀⠀⠀⠀⠀⠀⠀⡇⢰⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⢿⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⢦⠙⠀⡄⠻⠀⠀⠀⠀⠀⠀⠀⠀⡄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⡆⠹⠀⡄⠻⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⢠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡆⢸⠀⠀⠀⠀⠇⠸⠀⣇⠸⠀⡀⢱⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠃⣰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⠷⠀⡇⢸⠀⠀⢸⠀⠀⡀⢣⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠀⠀⡀⢸⡿⢸⠀⠏⢸⠀⠀⠀⡏⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠇⢸⠀⠀⠇⢿⣿⢀⠇⣴⣿⠀⠁⠟⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡿⠀⠀⠀⣾⣿⢸⠃⣸⠇⣿⠃⡿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠃⡼⢀⠀⠀⠀⠀⠀⠀⣿⠿⠙⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠀⠁⡿⣿⣼⠏⣿⢰⡿⣿⣼⣏⣿⣿⢀⠀⠀⠀⠀⠃⢸⠀⠀⠏⣰⠀⠀⠀⠀⠀⠀⠀⠀⣀⣆⣿⢿⠙⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⢰⠀⡞⢟⣯⠾⢫⣸⠇⣽⣟⡴⣤⣠⣤⣤⣤⠳⠈⠀⡇⢠⠁⡿⢠⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⣄⣆⣿⣿⢿⠈⠀⠀⠀ ⠀⠀⠀⡇⠀⡏⣏⣾⣴⠀⣶⠁⡟⣼⢀⠀⠀⠀⠀⠀⠀⠀⣄⠷⡟⠟⣵⢀⠀⠀⠀⠀⡀⣀⣀⠄⠲⠙⠀⠀⠀⣇⣿⣿⣿⠘⠀⠀ ⠀⠀⠀⡇⠁⢸⣠⠀⠀⠁⠟⣿⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣼⢐⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⡀⣷⣿⣿⢿⠀⠀ ⠀⠀⠀⡇⣽⢀⠀⠋⠟⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⣸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡇⣿⣿⢺⠀⠀ ⠀⠀⠀⡇⣿⠟⡿⣿⣿⣿⣿⣿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣿⣿⢹⠀⠀ ⠀⠀⠃⡟⣴⢡⠈⠀⣆⣿⣿⣿⣿⢿⠙⠀⠀⠀⠀⠀⠀⠀⠀⢧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⣿⣿⣿⣿⣿⠸⠀ ⠀⠀⡇⣾⢾⠶⣶⠲⠳⡉⣇⣿⣿⣿⣿⢿⠻⠛⠉⠉⠉⠉⠉⡄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠟⣿⣿⣿⣿⣿⣿⣿⢸⠀ ⠀⠀⡟⢤⢻⠈⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠿⠛⠛⠛⠛⠛⠛⠿⡿⣿⣷⣯⣿⣿⣿⣿⢳⣿⣿⢻⠀ ⠀⠀⡇⠈⣧⣫⣬⠶⠓⠙⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⠀⠀⠀⢻⡀⣾⢸⠀⠢⣀⣀⣀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸ ⠀⠀⠀⣆⠹⠆⠀⠀⠀⠁⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣤⣦⣶⣿⣿⣶⣦⣀⣷⣿⣿⣿⣿⣿⣿⢸ ⠀⠀⠀⠀⣆⠘⠀⠁⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠆⡴⣠⠀⠀⠀⡄⣷⣿⣿⣿⣿⣿⢸ ⠀⠀⠀⠀⠀⡇⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⢸ ⠀⠀⠀⠀⠀⡟⣻⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠉⠉⠈⠀⠀⠁⠉⠉⠋⠿⣿⣿⣿⣿⣿⣾⢠ ⠀⠀⠀⠀⠀⣄⣦⢿⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣤⣀⣀⣀⣧⡙⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣦⣝⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣴⣤⣤⣤⣠⣀⠀⠀⠀⠀⠀⡀⣿⣿⣾⡇⣼⣾⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⣿⣿⣘⣷⢸⡇⣸⠇⣿⢛⠿⠿⠘⠁⠀⠁⠟⠀⠀⠀⠀⠀⡇⣿⢰⡟⢀⢾⡸⣀⣀⣀⣀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⢿⡈⢿⣿⢁⢸⣿⣤⣤⣤⢃⡿⠟⣠⡿⠀⠀⠀⠀⠀⡏⣰⠇⣷⠇⢰⢸⠀⠈⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢸⣇⢿⣇⢰⡇⢠⣇⠸⠀⠃⡿⣷⢀⠏⣿⠟⣿⣿⠸⠋⣴⠃⡾⠀⡏⠀⢸⠀⡌⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠈⣷⣿⠀⡇⠀⡀⣿⠋⣿⣸⠀⠇⣸⣿⣄⣦⣷⣿⣼⠀⡟⢸⠃⢸⠁⢹⠄⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⡇⢸⠀⡇⠀⠀⡇⣽⣾⠀⠃⣸⠃⢹⠉⡟⣯⣰⠁⡾⣏⣽⣸⠀⡏⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢿⡈⣿⠀⡇⠀⠁⡿⣿⠀⠁⡼⠀⡏⡿⣡⡞⢀⠃⡴⠁⣿⣴⠀⠇⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣼⢳⣾⠘⡇⠀⡇⣿⢀⠀⡀⠀⠏⣴⠂⣠⠁⠞⢠⠁⡾⢀⠀⠃⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠈⢻⢧⡏⠘⡇⣼⠀⠀⠁⡞⢀⠀⠁⠞⣠⠀⠋⡴⠀⠀⠏⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⣝⠻⣿⢻⡟⢩⠋⠖⣠⠀⠉⠞⣠⠀⠋⡔⣀⠀⠋⡿⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡿⣾⣷⣟⣿⣿⣳⠉⠍⡩⢉⠒⠶⣠⢀⠁⠋⡾⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⣠⠀⡀⢧⢸⡀⢤⡲⣛⣉⠉⠉⠛⠛⡶⣤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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(ꈍoꈍ🌸)

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

⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠞⠤⠄⣵⢄⠤⡤⣦⣶⣷⣽⣀⣷⣿⠻⠀⠀⠀⢣⠈⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⢁⢰⠀⠀⡀⠙⠀⠀⠀⠀⠀⡀⠀⡀⣤⣶⢿⠙⠀⠀⢆⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⡎⢀⡇⠀⠀⠘⠀⣆⠻⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⠒⠉⡀⢷⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣤ ⠘⠀⠀⠀⠀⠀⠀⠀⠄⠋⠼⢀⠏⢠⠀⡀⠀⠀⢸⠀⠀⡀⣷⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠢⣷⢻⠉⡇⠾⠘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⡟⣰⠀⠎⢠⠀⠀⢸⠀⠀⡆⠈⠀⠀⠀⣧⢿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣈⣀⣀⣀⢤⠤⠒⠙⠀ ⠀⠀⠀⠀⠀⠀⠏⣴⢀⠀⡞⢀⠀⠀⠀⢃⠀⠀⠀⢷⠈⠀⠀⠀⣇⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⠐⠀⠛⠉⠀⠀⡀⣆ ⠀⠀⠀⠀⠀⡞⣠⠀⠁⡜⠀⠀⠀⠀⠀⡇⢿⠸⠀⡀⣿⠨⠀⠉⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣶⢙⠀⠀⠀ ⠀⠀⠀⠀⡄⢀⠀⠁⡼⠀⠀⠀⠀⠀⠀⡇⣿⢻⢿⡿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢼⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⡿⢃⠀⠀⠀⠀⠀⠀⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⣦⢻⠀⠀⠀⠀⠀⠀⣆⣿⣿⣿⣿⣿⣿⣾⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡒⢿⠀⡀⢤⠓⠈ ⠀⠀⠀⠀⠀⠇⢸⠀⠀⡄⢳⠈⠀⠀⠀⠀⠀⣄⣿⡌⣀⢁⣜⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣅⠳⠈⠀⢆ ⠉⠈⠁⠉⠉⡏⢸⠀⠀⠀⠀⢄⠐⠀⠀⠀⠀⠀⠀⣀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡀⣀⡀⣅⠻⠈ ⣿⣿⣻⣟⣿⣼⢸⠀⣷⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⡠⢀⠀⠀ ⣿⣿⣿⣿⢿⢀⢣⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠁⠉⠛⠚⠐⠀⠀⠀⠀⠀ ⣿⣣⣼⣿⣼⠸⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠊⡤⢀⠀⠀⢋⣿⣴⠤⠀⠀⠀⠀⠀⠀ ⢡⣿⠁⣿⢸⡄⠘⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠀⠀⠀⠀⠀⠀⠀⠄⠤⡀⣀⢍⠯⠙⠋⠟⣾⣶⢲⠀⠀⠀⠀⠀⠀⠀⠀ ⡟⣿⣽⣾⢀⠀⣆⣾⠀⠁⠀⠀⠀⠀⠀⠂⠑⠈⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠂⠶⠿⠛⣿⣿⣿⣶⣾⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢻⡴⢀⠀⠀⠀⢿⠯⣿⠻⠛⠙⠉⠉⠿⠛⡛⢻⠟⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣶⣖⣶⢤⡠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀ ⣾⣠⠀⠀⠀⠀⠀⣼⢀⠀⡖⣦⣵⣾⣷⣿⣿⣿⣮⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠐⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠈⠀⠀⠁⠀⠀⠀⠀⠉⠔⢀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠠⣀⠁⠉⠚⠴⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢦⠈⠀⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠂⠐⠀⠒⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠛⡾⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠀⠃ ⠀⢆⠈⠀⠀⠀⠀⠀⡇⣌⠠⠀⠀⠂⠒⠀⠉⠉⠋⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡼⠀⠃⣰ ⠀⠀⢆⠈⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⣀⠄⣤⣶⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠔⣀⠀⠋⣰⠀ ⠀⠀⠀⣆⠘⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠚⡔⢡⠋⡿⣰⠀⠀ ⠀⠀⠀⠀⡀⠳⠈⠀⠀⠀⠀⢆⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠀⠉⠟⣿⣿⣠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣦⠙⠈⠀⠀⠀⣄⢷⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠟⡿⣿⣿⣼⢀⠀⠀⠀⡄

⠀⠀⠀⠀⠀⠀⠀⠁⠚⠴⣭⠭⡭⣈⠳⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⣻⠿⣿⣿⣿⣿⣿⠿⣝⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣤⣤⣤⣤⣢⣒⣴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠆⠐⠀⠒⠛⠙⠈⠀⠀⠰⠀⠀⠀⠀⠀⠀⠁⠉⠉⠊⠀⠖⠗⠉⠀⠀⠀ ⠀⡇⠟⢰⠀⠀⠀⠈⣀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢁⠉⠀⠀⠀⡃⣿⢿⠈⠀ ⠀⡄⣿⢹⠀⠏⣿⣿⢿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⣿⣿⠹⠀⡟⣿⣿⢀⠀ ⠀⠀⣿⣿⠻⣿⣿⣼⣤⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⣧⣿⣼⣠⣿⡟⣿⣿⣩⠀⠀ ⠀⠀⡀⣧⣿⣿⣿⢿⠿⠿⣼⢀⠀⠀⠀⠀⠀⣄⠻⣿⣿⢿⠿⣿⣿⣿⣪⠀⠀⠀ ⠀⠀⠀⠀⢄⣦⣶⣴⣭⣫⢐⠀⠀⠀⠀⠀⠀⠁⣄⣼⣷⣭⣶⣖⠤⢀⠀⠀⠀⠀ ⠀⠀⠀⣀⠤⠢⠓⠙⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠚⠐⠤⠄⠠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣄⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠚⠉⢉⣩⠽⠟⠛⠛⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⢀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡤⠤⠄⢤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠋⠉⠀⠀⠀⣀⣤⠴⠒⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⢳⡄⢀⡴⠚⠉⠀⠀⠀⠀⠀⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠹⡏⠀⠀⠀⠀⠀⣀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢬⣳⣄⣠⠤⠤⠶⠶⠒⠋⠀⠀⠀⠀⠹⡀⠀⠀⠀⠀⠈⠉⠛⠲⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠖⠋⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢳⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢃⠈⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⢀⢾⠃⠀⠀⠀⠀⠀⠀⠀⠀⢢⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠮⣄⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⠋⠀⠀⢀⡤⡴⠃⠈⠦⣀⠀⠀⠀⠀⠀⠀⢀⣷⢸⠀⠀⠀⠀⢀⣀⠘⡄⠤⠤⢤⠔⠒⠂⠉⠁⠀⠀⠀⠑⢄⡀⠀⠀⠙⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⣼⠃⠀⠀⢠⣞⠟⠀⠀⠀⡄⠀⠉⠒⠢⣤⣤⠄⣼⢻⠸⠀⠀⠀⠀⠉⢤⠀⢿⡖⠒⠊⢦⠤⠤⣀⣀⡀⠀⠀⠀⠈⠻⡝⠲⢤⣀⠙⢦⠀⠀ ⠀⠀⠀⢰⠃⠀⠀⣴⣿⠎⠀⠀⢀⣜⠤⠄⢲⠎⠉⠀⠀⡼⠸⠘⡄⡇⠀⠀⠀⠀⢸⠀⢸⠘⢆⠀⠘⡄⠀⠀⠀⢢⠉⠉⠀⠒⠒⠽⡄⠀⠈⠙⠮⣷⡀ ⠀⠀⠀⡟⠀⠀⣼⢻⠧⠐⠂⠉⡜⠀⠀⡰⡟⠀⠀⠀⡰⠁⡇⠀⡇⡇⠀⠀⠀⠀⢺⠇⠀⣆⡨⢆⠀⢽⠀⠀⠀⠈⡷⡄⠀⠀⠀⠀⠹⡄⠀⠀⠀⠈⠁ ⠀⠀⢸⠃⠀⠀⢃⠎⠀⠀⠀⣴⠃⠀⡜⠹⠁⠀⠀⡰⠁⢠⠁⠀⢸⢸⠀⠀⠀⢠⡸⢣⠔⡏⠀⠈⢆⠀⣇⠀⠀⠀⢸⠘⢆⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⡜⠀⠀⢀⡜⡞⠀⡜⠈⠏⠀⠈⡹⠑⠒⠼⡀⠀⠀⢿⠀⠀⠀⢀⡇⠀⢇⢁⠀⠀⠈⢆⢰⠀⠀⠀⠈⡄⠈⢢⠀⠀⠀⠈⣇⠀⠀⠀⠀ ⠀⠀⢸⡀⠀⢰⠁⠀⢀⢮⠀⠇⡜⠀⠘⠀⠀⢰⠃⠀⠀⡇⠈⠁⠀⢘⡄⠀⠀⢸⠀⠀⣘⣼⠤⠤⠤⣈⡞⡀⠀⠀⠀⡇⠰⡄⢣⡀⠀⠀⢻⠀⠀⠀⠀ ⠀⠀⠈⡇⠀⡜⠀⢀⠎⢸⢸⢰⠁⠀⠄⠀⢠⠃⠀⠀⢸⠀⠀⠀⠀⠀⡇⠀⠀⡆⠀⠀⣶⣿⡿⠿⡛⢻⡟⡇⠀⠀⠀⡇⠀⣿⣆⢡⠀⠀⢸⡇⠀⠀⠀ ⠀⠀⢠⡏⠀⠉⢢⡎⠀⡇⣿⠊⠀⠀⠀⢠⡏⠀⠀⠀⠎⠀⠀⠀⠀⠀⡇⠀⡸⠀⠀⠀⡇⠀⢰⡆⡇⢸⢠⢹⠀⠀⠀⡇⠀⢹⠈⢧⣣⠀⠘⡇⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⠀⡇⠀⡇⢹⠀⠀⠀⢀⡾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠃⠀⠀⠠⠟⡯⣻⣇⢃⠇⢠⠏⡇⠀⢸⡆⠀⢸⠀⠈⢳⡀⠀⡇⠀⠀⠀ ⠀⠀⠀⣇⠀⡔⠋⡇⠀⢱⢼⠀⠀⡂⣼⡇⢹⣶⣶⣶⣤⣤⣀⠀⠀⠀⣇⠇⠀⠀⠀⠀⣶⡭⢃⣏⡘⠀⡎⠀⠇⠀⡾⣷⠀⣼⠀⠀⠀⢻⡄⡇⠀⠀⠀ ⠀⠀⠀⣹⠜⠋⠉⠓⢄⡏⢸⠀⠀⢳⡏⢸⠹⢀⣉⢭⣻⡽⠿⠛⠓⠀⠋⠀⠀⠀⠀⠀⠘⠛⠛⠓⠀⡄⡇⠀⢸⢰⡇⢸⡄⡟⠀⠀⠀⠀⢳⡇⠀⠀⠀ ⠀⣠⠞⠁⠀⠀⠀⠀⠀⢙⠌⡇⠀⣿⠁⠀⡇⡗⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠁⠁⠀⢸⣼⠀⠈⣇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠁⠀⠀⢀⡠⠔⠚⠉⠉⢱⣇⢸⢧⠀⠀⠸⣱⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠦⡔⠀⠀⠀⠀⠀⢀⡼⠀⠀⣼⡏⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⠀⠋⠀⠀⠀⢀⡠⠤⣿⣾⣇⣧⠀⠀⢫⡆⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⣠⠇⠀⠀⢀⡠⣶⠋⠀⠀⡸⣾⠁⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡄⠀⠀⠀⠀⠠⠊⠁⠀⠀⢸⢃⠘⡜⡵⡀⠈⢿⡱⢲⡤⠤⢀⣀⣀⡀⠉⠉⣀⡠⡴⠚⠉⣸⢸⠀⠀⢠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢧⠀⠀⠀⠀⠀⠀⠀⣀⠤⠚⠚⣤⣵⡰⡑⡄⠀⢣⡈⠳⡀⠀⠀⠀⢨⡋⠙⣆⢸⠀⠀⣰⢻⡎⠀⠀⡎⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢷⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⡸⢌⣳⣵⡈⢦⡀⠳⡀⠈⢦⡀⠀⠘⠏⠲⣌⠙⢒⠴⡧⣸⡇⠀⡸⢸⠇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⠢⡀⠀⠀⠀⠠⠄⡖⠋⠀⠀⠙⢿⣳⡀⠑⢄⠹⣄⡀⠙⢄⡠⠤⠒⠚⡖⡇⠀⠘⣽⡇⢠⠃⢸⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⠃⠀⠀⠀⠀⠀⢀⡼⣄⠀⠀⠀⠀⠀⠑⣽⣆⠀⠑⢝⡍⠒⠬⢧⣀⡠⠊⠀⠸⡀⠀⢹⡇⡎⠀⡿⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡼⠁⠀⠀⠀⠀⠀⠀⢀⠻⣺⣧⠀⠀⠀⠰⢢⠈⢪⡷⡀⠀⠙⡄⠀⠀⠱⡄⠀⠀⠀⢧⠀⢸⡻⠀⢠⡇⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠇⠀⠀⠀⠀⠀⠀⠀⢸⠀⡏⣿⠀⠀⠀⠀⢣⢇⠀⠑⣄⠀⠀⠸⡄⠀⠀⠘⡄⠀⠀⠸⡀⢸⠁⠀⡾⢰⡏⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡠⠀⠀⠀⠀⠈⠓⠈⠀⠀⠀⠀⠀⠀⠀⠀⠄⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠀⠂⠀⠂⡅⡣⠐⠃⠼⠙⠀⠀⠀⠀⠀⠀⢅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠠⠁⡞⣺⡆⡀⠐⣒⢇⡏⠙⠀⠀⠀⠀⠀⡀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣀⣀⡐⣄⡠⢸⡂⢀⠀⣒⠀⣄⢾⠉⠀⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⡀⢄⠤⠤⠤⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠡⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠁⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠑⠀⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠁⠚⠙⠀⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢂⠠⠀⠒⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠧⡨⠀⡀⢣⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⠂⠠⠠⠀⠀⠨⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⠊⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠄⠄⢠⡃⠀⠀⠊⠒⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀ ⠀⠀⠀⠨⠀⠀⠀⠌⠀⡄⠲⠈⡀⠸⠀⡀⠠⠐⠈⠀⠀⠆⠈⠁⠊⠂⠒⠈⠀⠁⠒⠂⠀⠀⠀⠀⠀⠈⠉⠁⠀⠂⠂⠂⠀⠒⠂⠒⠄⠀ ⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⢁⡀⡀⠀⠀⠀⠀⠀⠀⠄⠂⠂⠡⡀⠀⠀⠀⠰⠀⡃⠈⠀⡃⠀⠀⡳⡀⠀⠀⡀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⡃⠀⠀⠀⠀⠀⠀⠀⠁⠂⠤⠠⢈⠀⠀⠤⣀⠀⠀⠀⠀⡀⡀⠀⠀⠀⣀⠣⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠁⠁⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⢄⠤⠠

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

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

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠊⠀⠀⠀⠀⣄⢥⢭⠭⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠖⠶⣠⢀⡀⠀⠀⠒⠉⠈⠀⠀⠀⠀ ⠦⠷⠿⣿⣹⠀⠀⠀⠀⠀⡏⣼⣫⣯⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠟⡼⣷⠿⠻⠀⠀⠀⠀⠀⡀⣿⠿⠿⠿⠲ ⠀⠀⡀⣧⣿⠻⠀⠀⠀⠀⣧⢹⣛⢭⣟⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡯⣹⡗⢶⣜⣿⠠⠀⠀⠀⠀⠋⣿⣾⣠⠀⠀ ⠀⠀⠀⣀⣦⣿⣿⠻⠙⠉⠉⣟⣿⣾⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣗⣿⣿⣿⣾⣴⠀⠀⠀⠋⡿⣿⣾⢴⠠⠀⠀ ⠀⠀⠀⠀⠀⠃⣖⣶⣶⣶⣤⣤⢤⡀⢊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣴⣥⣶⣶⠿⠿⡿⣿⣿⣾⣠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠄⠀⠂⠒⠒⠰⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠐⠋⠉⠉⣉⢉⡀⣀⣀⣀⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

⡏⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿ ⣿⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⣿ ⣿⣧⡀⠀⠀⠀⠀⠙⠿⠿⠿⠻⠿⠿⠟⠿⠛⠉⠀⠀⠀⠀⠀⣸⣿ ⣿⣿⣷⣄⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿ ⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣿⣿⣿⣿ ⣿⣿⣿⡟⠀⠀⢰⣹⡆⠀⠀⠀⠀⠀⠀⣭⣷⠀⠀⠀⠸⣿⣿⣿⣿ ⣿⣿⣿⠃⠀⠀⠈⠉⠀⠀⠤⠄⠀⠀⠀⠉⠁⠀⠀⠀⠀⢿⣿⣿⣿ ⣿⣿⣿⢾⣿⣷⠀⠀⠀⠀⡠⠤⢄⠀⠀⠀⠠⣿⣿⣷⠀⢸⣿⣿⣿ ⣿⣿⣿⡀⠉⠀⠀⠀⠀⠀⢄⠀⢀⠀⠀⠀⠀⠉⠉⠁⠀⠀⣿⣿⣿ ⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿ ⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔𝐏𝐈𝐂𝐊𝐀𝐂𝐇𝐔

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

⠉⠀⠀⠀⠁⠉⣉⣈⣈⣤⣤⠛⠛⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠒⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠷ ⣀⣀⣸⣂⣇⣺⣿⡀⣒⣸⣇⡀⣀⣣⣄⢸⣀⣄⣼⣥⠼⡱⢀⠀⠀⠉⠉⠒⠒⠒⠒⠀⠓⠛⠉⠉⠉⡈⢧⠙⠈⠀⠀⠀⠐⠀⠀⠀⠀⡩ ⠁⣿⢸⠀⡇⢸⣏⠀⠁⢸⡇⠀⠀⡎⠀⢸⠀⠇⢹⡴⠀⡀⠸⠀⠀⡟⠀⠀⣀⢄⠤⠓⠈⠀⠀⠀⠀⠀⣀⢀⠀⡀⣷⣄⣿⣿⣿⣿⣿⣿ ⣾⣀⠀⠀⣥⣿⢻⠒⡷⠿⣸⠀⠏⢻⡜⠉⠋⣾⣹⠉⠋⠗⣿⠤⡠⣤⠣⠈⠀⠀⠀⠀⡄⠢⠓⠉⠀⠓⠛⠀⠀⠀⡏⠏⣿⣿⣿⣿⣿⣿ ⠀⠀⠋⡷⣾⣠⠀⠀⠀⠀⠀⣇⣿⣹⠙⡊⣄⣤⢤⠒⠒⡷⣾⢳⠀⠀⠀⣄⠢⠈⠀⠀⠀⠀⠃⣿⣿⢸⣳⠋⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿ ⠠⠀⠂⡠⠀⠀⠀⠀⠀⠀⠉⣞⣶⠿⣉⢮⠢⠒⠙⠉⠉⡸⠀⠀⢣⠉⠉⠺⠀⡉⢄⠑⠈⠟⣯⣿⣿⢠⠀⡀⣤⣷⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠏⢠⠀⠀⠀⠀⣿⢻⠈⠀⣀⢄⠤⠒⠒⠒⡗⠀⠀⢀⡦⣸⠀⠀⠀⠀⡀⣡⣀⣦⣷⣿⢠⠀⠀⠀⠀⡀⣸⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠂⢠⠀⠉⠎⠛⠀⣾⣷⣿⢼⠲⠓⠉⠉⠉⠋⠰⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⡄⠘⠀⠀⠀⣀⢤⠀⠀⠀⠏⢸⡇⣿⣶⣶⣷⣿⣶ ⠀⠀⠀⠀⠀⠀⡀⢀⣿⡿⠊⠔⣀⢤⠦⠒⠓⠛⠒⣼⠘⠀⠀⠀⠀⡏⠔⠉⠋⣿⠂⠛⡍⠻⠈⠁⠉⠒⠤⡤⣤⢱⢨⡇⠁⠈⠀⡤⣷⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠃⣼⠀⠀⠀⠀⠀⠀⠀⠀⠇⢹⢸⠀⠀⠋⠿⣿⣿⣿⣿⣿⣿⢿⡿⣛⣙⢀⠒⣙⠢⠈⢣⡗⢿⡴⣿⠐⠀⠀⡉⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠋⣼⣾⠀⠃⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠀⡄⠐⣄⡿⡾⣡⡴⣿⠟⠙⡜⣦⣿ ⠀⠀⠀⠀⠀⠀⠀⡟⢀⠀⠀⠀⠀⠀⠁⠛⡿⣯⢿⢩⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣈⠀⠀⠀⠀⣾⢀⡄⢹⢡⠀⡟⢰⠀⣿ ⠀⠀⠀⠀⠀⠀⠟⢹⠀⠀⠀⠀⠀⠃⣿⣉⣞⣤⢁⡿⣿⢟⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢹⠀⠀⠀⠀⢸⠀⠀⣇⡆⠻⢠⠀⡟⣿ ⠀⠀⠀⠀⠀⡇⣹⣆⢿⠙⠉⠉⠚⡴⠤⣠⠀⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠀⠀⠀⡇⠈⠀⠀⠀⣎⠁⡟⣿⣿ ⠀⠀⠀⠀⠀⡅⢀⠀⣿⣿⣿⣠⠀⠀⠀⠋⡿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣀⣄⠢⠓⠙⢯⠻⠉⠛⢿⣿⣿⣯⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢰⠀⠂⡟⣿⢿⡟⢋⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠁⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⡃⠀⠁⣿⣰⠀⠀⡟⣿⠀⠁⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⡰⠋⡾⢠⠀⠀⠏⣿⣻⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

��EM NI MUC, ) ๏ 人 ๏ ( ) ๏ 人 ๏ ( �🂭🃁🃖🃚🃜� �� !WON MUC�� !WON MUC⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⢀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠋⠛⠛⠛⠛⠛⠛⠉⠉⠉⠀⠀⠀⠀⠇⠹⠉⡖⣶⣵⣬⣿⣴⣠⣉⠟⠿⣴⣡⢉⠟⣿⣿⣿⣿⣿⣿⢿⡿⢿⠿⢶⡤ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⠀⠀⠀⠀⠁⠋⠟⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠀⠀⠀⣷⢻⠀⠓⠰⠀⠋⠟⣿⣴⣠⠋⠿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣡⣛⣿⠿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀⠛⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⠈⠀⣧⢯⠀⠖⣦⣤⣀⠂⠶⣷⣿⣿⣿⣾⣴⣤⣠⣉⢛⠟⡿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠁⠅⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡝⣵⡾⠰⠠⠷⠿⠿⠿⠿⠻⠛⠛⠉⠀⠆⢻⣇⣿⣿⣿⣿⣿⣿⣿⣾⣷ ⣿⣿⣿⣿⣿⣿⣿⣾⠀⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣷⣿⡿⢹⢡⡰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠙⢈⠦⣷⣿⣿⣶⣡⢋⠿⣿ ⣿⣿⣿⣿⣿⣿⣾⠁⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡆⣿⢿⣧⢸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠙⢀⠛⠿⣿⣿⣶⣤ ⣿⣿⣿⣿⣿⣼⢀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⣿⢿⢸⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⡈⣦⣠⠀⠀⠀ ⣿⣿⣿⣿⣿⢠⡏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⡉⢻⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠙⠀⠀⠀⠀ ⣿⣿⣿⣿⢸⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣇⣷⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠀⠀⠀ ⣿⣿⣿⣿⢀⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⡇⣿⢺⣿⡼⠃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⠀⠀ ⣿⣿⣿⣾⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡇⣿⢸⣿⢸⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀ ⣿⣿⣿⢻⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢼⡇⣃⣿⢸⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠀ ⣿⣿⣿⢸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣰⠇⣾⠀⡧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣷⡈⣷⢿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⢋⠿⡗⣼⢿⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⢦⡈⣣⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢁⡿⣿⣿⣿⢹⣿⢻⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀ ⠙⠈⢄⡀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠋⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀ ⣼⢀⠀⠀⠀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣜⠏⣿⣿⣿⣿⣿⢃⣿⣿⣼⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢠⠀⠀ ⣿⣿⠿⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠋⣿⣿⣿⣿⣿⣇⣿⣿⣾⢁⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠀⠀⠀ ⣿⣿⣿⢻⠈⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣡⡆⣷⣿⣾⣴⣡⠟⣿⣾⣥⢏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢠⠀⠀⠀⠀ ⣶⣶⣶⣶⢰⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣡⠟⣿⣿⠿⠿⠿⣿⠿⠿⠀⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠛⠙⠉⠀ ⣿⣿⣿⣾⢠⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⠟⣿⣿⣿⣿⣿⣿⣶⣶⣴⣠⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠒⡀⣶⣿⢿ ⣦⠀⠀⠀⠀⠀⣤⢂⡖⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣥⢋⡛⣍⠭⠀⠈⠍⠭⠩⡛⠛⠿⣿⡘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢀⠀⠀⠀⠀⠀⠀⠀⣀⣤ ⠁⠛⠟⡿⣿⣿⣿⣿⢿⠻⡛⣌⣦⣿⣿⣿⣿⣿⣿⣶⣩⢛⡿⣿⣿⣿⣾⢡⡿⢡⣿⣿⣿⣿⣿⣿⣶⢃⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⠋⠘⠐⠀⣄⣤⢤⠂⠒⠓⠙⠉ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣇⣿⣿⣾⣤⢋⡙⣤⣶⣶⣿⣭⣩⠂⣿⢠⡞⣶⣿⣿⣿⣿⣼⠃⣿⣿⣿⣿⣿⣿⣾⣶⣥⣭⣭⣭⣩⢉⠉⡉⣀⣄⣶⣦⠉⠉⠋⠛⠛⠉⡉⣉ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⣋⠉⠉⠭⠋⡿⠹⡄⣿⣽⣯⠻⢉⡿⣽⠏⡀⣉⣈⣀⠀⣿⣿⣿⣿⣾⣡⣋⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠙⣈⣀⣀⣀⣀⣄⣀⣀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢈⠄⣩⣙⣯⣿⣿⣿⣿⣴⣦⣮⣿⣽⣤⣶⣿⣿⠻⡙⠄⠥⠠⣆⣿⣿⣫⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠻⠙⠄⠦⠻⠛ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣥⢉⠄⡷⣿⣿⣾⣶⣴⣤⣠⢱⠻⠀⣿⡾⣠⠁⠀⠐⡄⣤⣷⣾⠰⠇⠸⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⣉ ⣿⣿⣿⣿⣿⣿⣾⣴⣨⠄⣶⣿⢾⡁⢛⠿⡿⣿⣿⣻⠘⠁⠉⠀⠁⢛⠿⣿⡇⣿⠙⠇⠻⠈⠉⢛⠛⠻⣙⣦⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢛⠿⣿⣿⣿⢿⡌⣷⣿⣿⣶⣥⣩⣛⡛⣛⢿⠛⣛⣿⣹⣿⢸⡟⣿⣿⡄⣧⣿⡙⣬⣷⣿⣿⣿⠿⡛⣉⣬⣶⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣡⡟⣿⣾⢉⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠻⠛⣉⣭⣬⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣍⣦⣶⣿⣿⣿⣽⣋⠟⣿⣾⣡⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠻⠛⣙⣍⣬⣤⣶⣶⣷⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣛⣌⣶⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣯⢩⣌⡄⣤⣀⣽⣭⣯⣿⠸⠠⠁⠉⠛⡋

⠉⠀⠀⠀⠁⠉⣉⣈⣈⣤⣤⠛⠛⠉⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠒⠑⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠷ ⣀⣀⣸⣀⣇⣸⣿⡀⣀⣸⣇⡀⣀⣣⣄⢸⣀⣄⣼⣥⠼⡱⢀⠀⠀⠉⠉⠒⠒⠒⠒⠀⠓⠛⠉⠉⠉⡈⢧⠙⠈⠀⠀⠀⠐⠀⠀⠀⠀⡩ ⠁⣿⢸⠀⡇⢸⣏⠀⠁⢸⡇⠀⠀⡎⠀⢸⠀⠇⢹⡴⠀⡀⠸⠀⠀⡟⠀⠀⣀⢄⠤⠓⠈⠀⠀⠀⠀⠀⣀⢀⠀⡀⣷⣄⣿⣿⣿⣿⣿⣿ ⣾⣀⠀⠀⣥⣿⢻⠒⡷⠿⣸⠀⠏⢻⡜⠉⠋⣾⣹⠉⠋⠗⣿⠤⡠⣤⠣⠈⠀⠀⠀⠀⡄⠢⠓⠉⠀⠓⠛⠀⠀⠀⡏⠏⣿⣿⣿⣿⣿⣿ ⠀⠀⠋⡷⣾⣠⠀⠀⠀⠀⠀⣇⣿⣹⠙⡊⣄⣤⢤⠒⠒⡷⣾⢳⠀⠀⠀⣄⠢⠈⠀⠀⠀⠀⠃⣿⣿⢸⣳⠋⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿ ⠠⠀⠂⡠⠀⠀⠀⠀⠀⠀⠉⣞⣶⠿⣉⢮⠢⠒⠙⠉⠉⡸⠀⠀⢣⠉⠉⠺⠀⡉⢄⠑⠈⠟⣯⣿⣿⢠⠀⡀⣤⣷⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠏⢠⠀⠀⠀⠀⣿⢻⠈⠀⣀⢄⠤⠒⠒⠒⡗⠀⠀⢀⡦⣸⠀⠀⠀⠀⡀⣡⣀⣦⣷⣿⢠⠀⠀⠀⠀⡀⣸⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠂⢠⠀⠉⠎⠛⠀⣾⣷⣿⢼⠲⠓⠉⠉⠉⠋⠰⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⡄⠘⠀⠀⠀⣀⢤⠀⠀⠀⠏⢸⡇⣿⣶⣶⣷⣿⣶ ⠀⠀⠀⠀⠀⠀⡀⢀⣿⡿⠊⠔⣀⢤⠦⠒⠓⠛⠒⣼⠘⠀⠀⠀⠀⡏⠔⠉⠋⣿⠂⠛⡍⠻⠈⠁⠉⠒⠤⡤⣤⢱⢨⡇⠁⠈⠀⡤⣷⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠃⣼⠀⠀⠀⠀⠀⠀⠀⠀⠇⢹⢸⠀⠀⠋⠿⣿⣿⣿⣿⣿⣿⢿⡿⣛⣙⢀⠒⣙⠢⠈⢣⡗⢿⡴⣿⠐⠀⠀⡉⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠋⣼⣾⠀⠃⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠀⡄⠐⣄⡿⡾⣡⡴⣿⠟⠙⡜⣦⣿ ⠀⠀⠀⠀⠀⠀⠀⡟⢀⠀⠀⠀⠀⠀⠁⠛⡿⣯⢿⢩⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣈⠀⠀⠀⠀⣾⢀⡄⢹⢡⠀⡟⢰⠀⣿ ⠀⠀⠀⠀⠀⠀⠟⢹⠀⠀⠀⠀⠀⠃⣿⣉⣞⣤⢁⡿⣿⢟⢛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢹⠀⠀⠀⠀⢸⠀⠀⣇⡆⠻⢠⠀⡟⣿ ⠀⠀⠀⠀⠀⡇⣹⣆⢿⠙⠉⠉⠚⡴⠤⣠⠀⠋⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠀⠀⠀⡇⠈⠀⠀⠀⣎⠁⡟⣿⣿ ⠀⠀⠀⠀⠀⡅⢀⠀⣿⣿⣿⣠⠀⠀⠀⠋⡿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣀⣄⠢⠓⠙⢯⠻⠉⠛⢿⣿⣿⣯⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⢰⠀⠂⡟⣿⢿⡟⢋⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⠀⠀⠁⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⡃⠀⠁⣿⣰⠀⠀⡟⣿⠀⠁⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⡰⠋⡾⢠⠀⠀⠏⣿⣻⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⠒⠒⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⡯⢔⡠⣀⢀⣀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠚⠽⠭⢶⠵⠯⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣸⠀⠚⠐⠤⠥⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡆⣸⢀⠀⠀⠀⡀⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣠⠧⢿⠿⡿⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣦⠿⠍⣩⣏⣿⢙⣄⢷⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⣵⠀⡿⢳⡟⣾⢳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣦⣿⣯⠉⣿⠹⡀⢷⠘⠀⠀⠀⠀⠀⠀⠀⠀⡄⠙⣧⠸⠀⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⣰⠀⣄⠙⡏⢉⠋⠉⠉⠀⠀⠋⠔⡠⣀⣀⣄⢳⠈⠀⠀⠀⠀⡀⠧⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠏⣀⠀⠀⠀⣿⣴⢀⠀⠀⠀⣀⣧⢈⠀⠀⠀⠀⠀⠀⡀⢤⠑⠀⠆⢀⠀⠀⣀⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠃⢠⠛⠈⠀⠇⢠⠀⠀⠀⠀⠀⠀⡀⢃⠈⠀⠀⠀⠀⠀⠀⠀⠀⢄⠙⠀⠀⠀⠀⠀⡀⢦⠐⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠏⣰⣀⣀⢦⠉⣸⠀⠀⠀⠀⠀⠀⠀⠃⣠⢿⠘⠁⠀⠀⠀⠀⠀⠀⠀⡀⠱⠀⠀⠀⠀⠀⠀⡀⢦⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠎⢠⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣧⣸⣄⢀⠀⠀⠀⠀⠀⠀⠀⡀⠱⠀⠀⠀⠀⠀⠀⠀⡄⠱⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⢀⠀⠀⠀⠀⠀⡇⠸⠀⠀⠀⠀⠀⠀⠀⠙⠀⡅⡟⠼⠤⠓⠈⠀⠀⠀⠀⠀⠀⡀⠢⠈⠀⠀⠀⠀⠀⠀⡀⠣⠈⠀⠀ ⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡞⢀⠀⡀⣤⢀⠀⠀⣀⠢⠙⠈⠀⠀⠀⠀⠀⡀⠦⠑⠈⠀⠀⠀⠀⠀⣄⠱⠀ ⠀⠀⡏⢀⠀⠀⠀⠀⠀⠀⠁⢰⠀⠀⠀⠀⠀⠁⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣸⣀⢤⠒⠙⠈⠀⠀⠀⠀⡀⠰⠀⠀⠀⠀⠀⡄⢸ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠃⡰⠀⠀⠀⠀⠁⡗⢸⠀⠀⠀⠁⠊⠒⠀⠀⠁⡚⢲⣖⠈⠀⠀⡀⣸⢄⠦⠒⠉⠈⠀⠀⠀⠀⠀⠀⠋⢠ ⠀⠁⢸⠀⠀⠀⠀⠀⠏⢠⠀⠀⠀⠁⠔⢠⠏⢿⠚⠒⠉⠈⠀⠀⠀⠈⣀⠀⠀⠀⣇⠳⠀⠀⣇⠀⠀⠀⠀⣀⣀⠤⠲⠒⠒⡴⢀⠀ ⠀⡎⠀⠀⠀⠀⠀⠆⢰⠀⠀⠁⠟⢒⠷⣸⡇⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⡾⡃⢹⠀⡀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠃⢸⠀⠀⠀⠀⠀⠀⠀⠁⠔⣠⢀⠀⠀⢸⡄⠛⠚⠀⠁⠙⠈⠀⠀⠀⠁⡏⣿⣿⢉⡆⡀⠘⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢱⠀⠀⠀⠀⠀⠋⡾⢠⠀⠀⠀⠀⠀⡇⠀⡀⣿⢼⡧⣷⣌⢹⠀⠀⡆⣸⣣⡀⣆⠈⢻⢴⠁⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡄⢦⠛⠒⠖⡤⣀⠀⠀⠀⠀⠀⠀⠀⣽⠀⠀⢀⠃⢠⡁⢠⡇⠟⢠⠄⢳⡇⠛⠓⣾⢻⠟⣿⡟⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠘⠀⠀⡇⠘⡧⠀⣾⢠⠀⠊⡔⡼⣦⡿⢹⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢤⠻⡗⢹⢹⡏⢉⠖⡴⢤⠢⡷⠘⣆⣿⣿⣀⣿⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⣿⣀⣿⢀⠀⠀⠀⠀⠀⣧⠘⣦⣹⠀⣆⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⠈⣇⠀⠈⠀⠀⠈⠿⠛⣿⠻⣧⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠁⢻⡏⡿⣿⠿⡿⣿⣿⣿⣿⣾⡸⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣷⠀⣷⣟⣿⣿⢸⣄⣿⣿⢰⣀⣇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡟⠈⡆⡈⢰⣦⢸⠀⡀⢸⠀⡇⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⢿⠈⢃⠀⠀⠀⠀⠀⠀⠃⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣦⠿⠛⠉⠉⠋⠒⡤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣷⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢰⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠁⡿⢹⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣧⣿⣿⣿⣿ ⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⢻⣆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿ ⡇⣿⣿⣿⣿⣿⣿⣿⣿⢸⡿⣿⣿⣿⣿⢿⣝⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿ ⡌⣿⣿⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⣿⣿⣿⢿⣝⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿ ⣿⣆⣿⣿⣿⣿⣿⣿⣰⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡙⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡿⣿⣿⣿⣿ ⣿⢻⣆⣿⣿⣿⣿⣼⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡇⣿⣿⣿⣿⣿ ⣿⣿⢻⣦⣾⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣷⣿⣿⣿⣿⣿ ⣿⣿⣿⢻⢎⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢱⠻⡄⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡻⣬⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡏⣿⢹⣇⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢻⣄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢏⣿⣿⣻⣒⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣎⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⠀⣿⣿⣿⣻⠀⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡘⣤⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⢋⠀⢆⣿⣿⣿⣿⠈⣷⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⡇⣿⣿⣿⢻⡇⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⢀⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡇⣿⣿⣿⣿⡚⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣠⢋⡿⣿⢿⠹⣌⣷⣿⣿⣿⣿⣿⣿⣾⣶⣵⣭⣭⣭⣶⣷⡇⣿⣿⣿⣿⢻⣆⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢠⡟⣿⣿⣿⣿⣿⣿⠻⣌⣷⣴⣩⣟⠿⣿⣿⣿⣿⣿⣿⣿⠿⢙⣷⣿⣿⣿⣿⠈⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡸⣿⣿⣿⣿⢻⣄⣿ ⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡇⣿⣿⣿⣿⠸⣿ ⣿⣿⣿⣿⣿⣿⣿⠻⠎⡓⣿⣿⣿⣿⣿⣿⣿⢻⣦⣿⣿⣿⣿⣸⣄⣿⣿⣿⣿⣿⣿⣸⡟⣿⣿⣿⣿⣿⡆ ⣿⣿⣿⣿⣿⣿⣿⣿⢿⠛⣌⣶⣷⣿⣿⣿⣿⣿⢻⣌⣷⣿⣿⣿⡿⣿⣿⣿⣿⣿⣴⢇⣿⣿⣿⣿⣿⣿⢥ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠙⢆⡻⣛⣛⣝⡿⣿⢿⠻⣙⣄⣭⣭⣭⣽⣿⢿⡹⡿⣿⣿⣿⣿⣿⣼⡇ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡛⣝⣭⣭⣩⣛⢛⠙⠈⡇⣿⢿⠿⣻⣛⣬⣦⣿⣿⣿⣿⣿⣴⢋⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣵⣩⢛⠛⣛⣬⣷⣿⣿⢸⠀⡀⣀⣉⣉⢛⡿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣴⢀⠃⡿⣿⣿⣿⣿⣿⣿⢿⡙⣦⠀⠸⠀⠀⣅⣇⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣬⡀⣤⢈⠁⠘⠃⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⢿⠘⣧⠸⠃⡀⡀⣷⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⠀⠏⣣⡾⣡⡚⣄⣦⣧⣿⣿⣿⣿⣿⣿⣾⣜⡙⢢⠃⢇⠀⡀⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⠀⠇⣿⡼⢏⣾⠌⠇⡸⡘⣿⣿⣿⣷⣿⣶⢿⠀⡃⢏⡘⡇⡇⠈⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡁⡿⣼⡇⣿⢳⠇⣼⡏⣾⡏⢻⡙⠉⠈⢀⣦⠏⣶⣿⢠⡾⡏⢀⣯⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⣷⢸⣿⣿⡘⡟⢃⣿⢡⣮⠶⡴⣠⣂⢐⠇⢸⠀⠀⠁⢧⢸⠀⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡷⣿⡎⣿⢿⣇⣸⢰⡿⣼⠁⠋⠾⠠⠆⣴⠀⠀⠀⠉⡤⢀⡏⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡘⣶⢳⣎⣿⠹⢷⠈⣤⠀⡥⣋⠿⠾⠡⠀⠀⠍⢩⠚⢀⡛⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠍⣖⣷⣿⣿⣿⠈⡦⣶⣶⣩⢟⣀⡭⣾⣲⣠⠉⡿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣉⣤⣐⢢⡀⣀⣀⢗⠘⡖⣡⡉⠟⡿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠛⠿⡛⢛⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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⣀⣀⣀⣀⣀⣁⢛⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠄⠄⠄⠄⠃⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⣿⣿⣿⣿⣿⣾⣭⢟⠿ ⠄⠄⠄⠄⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣾⣫⠿⣿⣿⣿ ⠄⠄⠄⠄⣷⣿⣿⣿⣿⣿⣿⣿⣿⣶⣭⣭⣭⣭⢩⣢⣛⠿⡿⣿⣮⣿⣿⣿⣿⣿ ⠄⠄⠄⠄⡀⣤⣶⣷⣿⣵⣛⠿⡿⣿⣿⣿⣿⣿⣿⣿⢿⣎⣿⣿⣿⡹⣷⣿⣾⣶ ⠄⠄⠄⠄⠇⠘⠄⠄⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⢠⠄⠄⡀ ⠄⠄⠄⠄⡄⣿⠄⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠄⠄⠄⠄ ⠄⠄⠄⠄⠇⣷⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠄⠄⠄⠄ ⠛⠉⠙⠄⣋⣿⣿⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢀⠄⠄⠄⠄⠄ ⣿⣜⢿⡄⣞⣿⣿⢻⣮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣠⠄⠄⠄⠄⠄⠄⠄ ⣄⢠⣿⢹⡘⣿⣿⣿⣵⡩⣬⣶⣶⣷⣿⣿⣿⣾⣶⣤⣀⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⣿⠹⣷⣸⢈⣾⣫⠿⣿⣴⣀⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⣿⣿⡘⢠⢱⣷⣿⣴⢉⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄ ⣿⣿⢈⠻⡆⢃⠷⣿⣶⠹⠘⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄

⠇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠸⠀⠀⠀⠇⣿⣿⠹⠀⠀⠀⠀⠀⠀ ⠀⣀⣀⣁⣋⣟⣿⣿⣿⣿⣴⢀⠀⠀⠀⡿⣿⣿⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠇⣿⣿⣿⣿⣾⣠⠀⠀⠀⠀⠀⠀⣿⣿⣿⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⡆⣿⣿⣿⣿⣿⠘⠀⠀⠀⠀⠀⠇⣿⣿⣿⢰⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⣦⣿⣿⣿⣿⠻⠀⠀⠀⠀⡇⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⢿⠟⣿⢻⣮⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣿⣾⣠⣦⣿⡝⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣦⣶⣶⣠⠀⠀⢿⣝⣩⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠛⠿⠿⠻⠛⡿⣿⣿⣿⣿⢿⠿⠘⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡿⣿⣿⣿⣿⣿⣸⣷⣿⣿⣿⣿⣿⣿⠻⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣧⣿⣿⣿⣿⣿⢠⡇⣿⣿⣿⣿⣿⣧⣿⣿⠙⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣠⢀⠀⡄⣿⣿⣿⣿⣿⠉⣿⣿⣾⢠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣾⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣼⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣷⣿⣿⣿⣼⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣩⣉⠈⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⣿⣿⣿⢿⠈⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣶⣿⣿⣾⣴⠀⠀⠀ �� ???..ekil os ti teg tnod uoy ti hcraes tnod uoy ti teg uoy nrop hcraes uoy .slobmys/sobmoc ijome ruoy teg dna no evom peed taht ton sti gniyrc pots gmo ekil ..tenretni eht no neve yeht era yhw ”etis siht no era sdik“

⢿⡟⡡⠜⢊⡠⠝⢛⡩⠔⢊⡡⠔⢁⠔⢊⡡⠔⢊⡡⠔⢊⡩⠔⢋⡩⠝⢋⡩⠝⢋⡿⣧⣿ ⣼⡠⡿⣶⢿⣿⣿⣿⣴⣤⣷⢿⠿⢿⡿⣿⢛⡹⠏⢟⡿⣛⡿⣾⣤⣀⣦⣿⣿⣿⣾⣷⡘⣿ ⢸⠃⢠⡇⣿⣿⣼ ⠁⠑⡀⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢀⠁⠑ ⣄⣿⣿⣿⠈⢣⡆ ⢸⠀ ⠀⣷⣿⣿⢹ ⠁⠙⠀⠊⣴⣿⣿⣿⣿⣿⣿⣿⣿⣼⢲⠈⠉⠙ ⠉⣿⣿⣾⢰ ⡆ ⢸⠇⠙⠉⡀⣀⣤⣤⣤⣀⢁⠋⠟⡿⣥⣿⣿⣿⣿⣿⣿⢿⠛⠉⣈⣀⣤⣤⣠⣀ ⠁⠏⠇ ⢷⡝⣤⢻⠿⢿⠿⠽⡶⣶⣶⣶⢋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣮⣶⣶⠵⠯⠿⡿⢿⡟⣸⡇

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