Sexy Shrek Emojis & Text

Copy & Paste Sexy Shrek Emojis & Symbols ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠖⠋⠉⠀⠀⠉⠒⠶⣤⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠖⠋⠉⠀⠀⠉⠒⠶⣤⡀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣷⣤⡀⠀⠀⢀⣼⣿⣷⣤⣀⠀⠀⠀⠀⠀⣀⣼⣿⡂⠀⠀⠀⣴⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⠿⢿⣿⣆⣀⣼⣟⣯⣩⣹⣿⣷⣀⠀⣰⣿⣟⣋⡩⢿⡦⣴⣾⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⡿⣿⡟⢿⣿⣿⠆⣿⣿⣿⣟⢻⣷⡏⢿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠟⠛⠿⠿⢟⢚⠋⠀⠀⠈⠛⠿⠿⠾⠗⠈⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡏⢀⠀⢀⣾⣿⣾⣧⡀⠀⠀⣀⣄⣦⡀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⢿⣿⣿⡛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠻⢷⣢⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣄⣾⢏⣿⠿⣧⣤⣀⠀⠐⠀⣀⣀⣠⡤⠄⠙⢺⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⣍⢻⡜⡼⣫⢝⡲⠯⠽⠭⠭⠭⠁⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡹⣮⡓⢮⡕⡯⢮⣱⠂⡄⢀⠀⠀⠀⠀⠀⠀⠀⡰⠀⠈⠒⠠⢄⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣧⡳⣝⡿⣎⡶⡙⣆⠁⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠁⠀⠀⠀⠀⠀⠈⠉⠉⠑⠢⢤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣮⣷⢻⡿⣷⣞⣦⣄⠀⠀⡀⢀⣀⣠⠞⢁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⡀⠀⠀ ⠀⠀⠀⠴⠚⠙⠉⠛⣿⣿⣿⠿⡉⠍⠉⠛⢿⣷⣿⣽⣿⣿⠿⠿⠛⠛⠉⠉⠁⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀ ⠂⡄⠄⠀⠀⠀⠀⠀⠚⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆ ⡑⢄⠠⠀⠀⠀⢀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠌⡂⠠⠀⡐⢠⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠄⠀⠀⠀⠀⠀⠀⠀⠄⢂ ⡘⡤⣑⠢⣜⠢⣉⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣷⣮⡔⡠⢌⡘⠤⡘⢤⠣ ⡳⣖⣭⣳⣾⡳⢄⢣⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⠂⠄⠀⠀⠀⠀⠀⠀⠀⢀⠀⢄⡒⢌⣣⣿⣿⣿⣽⡷⣍⠚⢤⡙⢆⠃ ⣿⣿⣾⣿⣿⣿⣏⣦⢣⢎⡐⠠⠀⠠⠀⠀⠀⠀⠀⠀⢀⠸⣿⣿⣯⡲⣄⢂⢄⡐⢠⠰⣈⠶⣘⢦⣹⣮⣿⣿⠋⠀⠀⠀⠀⠐⠂⠑⠂⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡝⣥⢃⡆⡤⢠⠀⡄⡐⢎⡍⠃⣿⣿⣿⣿⣦⣍⡶⣌⣦⢧⣝⣾⣽⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣷⣽⣶⣧⣿⣴⣽⣶⡶⠀⢿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠤⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠋⠀⠀⠀⠀⠈⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢺⡀⢂⠀⠀⠀⠀⠀⠀⠀ ⠀⢬⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⢾⠷⠤⢄⠀⣶⡌⠠⠀⠰⠶⢭⡻⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣷⢂⡁⣦⠀⠀⠀⠀⠀⠀ ⠀⢦⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡭⠙⠂⠄⠀⠀⠀⢀⠀⣤⠐⠄⠀⠀⠀⠀⢻⡓⠿⢻⠻⣝⢮⣳⢯⣿⣿⣿⣦⣃⢿⡆⠐⠀⠄⡀⠀ ⠘⣦⣿⡿⠈⢿⣿⣿⣿⣿⣿⣧⡛⢿⣭⡓⣌⣆⣏⠀⠸⠂⢷⡠⠀⠀⠀⣀⢈⡄⡘⠀⠁⠉⣎⠷⣽⡞⣯⣿⢿⣿⣟⣾⣿⣮⣙⠄⠀⠀ ⣱⢾⣿⠃⠀⠈⢿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⡿⢿⣷⣦⡀⢸⠿⠿⠿⠷⢿⣾⣦⣥⡀⣌⠲⣜⡟⢧⣿⡷⠁⠈⢻⣿⣿⣿⣿⠇⡀⠀⠀ ⣿⣿⠇⠀⠀⠀⠈⣿⣿⡜⢤⠉⠙⣿⡧⡀⢄⠀⠀⠀⠌⠙⠀⠄⠀⠀⠀⠀⡀⠛⠿⠟⠛⠙⠢⢙⢻⡟⠀⠀⠀⠀⠹⣿⣿⡿⠀⠀⠀⠀ ⡿⠃⠀⠀⠀⠀⠀⣿⡿⢿⣈⡇⢀⣿⣷⡍⢦⠡⠄⠠⠀⠰⣏⠀⠀⠀⠀⢆⠱⣉⠶⠀⠀⠀⣁⠂⣽⠁⠀⠀⠀⠀⠀⣿⠿⠁⠀⠀⠀⠀ ⠁⠀⠀⠀⠀⠀⢺⡿⣜⡹⡌⢧⣈⣿⣿⣿⣧⡿⠤⡄⡄⠸⣷⣸⣄⢠⠩⣌⡕⣎⠄⠀⠀⠐⠤⢣⡿⠀⠀⠀⠀⠀⢀⡿⢀⠐⠀⠀⠀⠠ ⠀⡀⠀⠀⠀⠀⣿⢣⢇⡳⢜⡀⢘⠷⣯⡍⢩⠙⠋⢠⣿⣷⠉⠛⠻⠎⡟⡴⣫⠜⠀⠀⢀⡑⣎⣷⡇⠀⠀⠀⠀⢀⣼⠁⢂⠐⢀⠈⠄⡙ ⡐⠄⡀⠀⠀⠀⣿⣯⢜⣱⢎⠴⣩⢞⡵⣿⡒⣆⡀⠀⠉⠙⡀⢀⢀⠰⣍⢳⡝⠎⠀⠀⠠⣶⢿⣿⠀⠀⠀⠀⠀⠀⣿⡆⠂⠌⠀⠈⠀⠀ ⡘⠤⠐⠀⠀⠸⣿⣿⣾⢿⡛⢯⡱⢿⣾⡽⣗⢦⡹⣐⠠⡑⡘⢌⡎⡱⢎⠥⠒⡀⠀⣤⣹⣷⣿⡇⠀⠀⠀⠀⠀⠀⣿⡇⡈⠔⠠⢂⠁⣚ ⣡⢃⠌⡀⢠⣰⣿⣿⣿⣎⡷⢢⠝⣯⢿⣽⣿⢮⡵⢪⡱⣥⡙⢦⡚⢵⢫⡼⢁⠠⣱⣾⣿⣿⡟⠀⠀⠀⠀⠀⠀⠸⣷⣿⠹⣮⣑⠠⢎⡴ ⢦⡉⢆⠐⢣⣿⣯⢿⣿⣿⡹⣏⢜⡳⣿⢾⣿⣧⣟⣧⢳⡖⣽⢣⣞⠯⡖⢥⢂⢧⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⡘⠍⡳⣦⣟ ⡇⠞⣬⣊⣿⣿⡿⢸⣿⣿⣧⡍⣎⣿⢻⣯⣿⢮⢷⣞⡷⣹⣞⣧⡟⣽⡙⣮⣹⣿⣿⠟⣹⡿⣿⣷⡄⠀⠀⠀⠀⠀⢸⣿⡇⢌⠹⣔⠳⣾ ⣭⣋⢿⣿⣿⣿⣷⣁⠺⣿⣿⣯⢽⣾⣿⣿⣽⣫⢷⣏⣿⢳⣻⣼⣹⢶⡹⣶⣿⣿⢏⣺⣵⣿⣿⣿⣻⠀⠀⠀⠀⠀⢠⣟⣧⠀⡳⣌⡿⣿ ⡖⡭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣯⣟⣿⣾⣽⣯⡷⣏⣷⣯⣿⣷⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢸⡿⠸⡗⣵⢯⣿⣿ ⡽⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⣸⢇⢣⡹⣞⣿⣿⡏ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠂⠤⣴⣿⢼⠶⠽⣿⣿⡿⠀

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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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💚💚🟢🐸🟢💚💚 #shrek4lyfe 💚💚🟢🐸🟢💚💚
⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⡠⠄⠠⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢘⡿⢄⠀⡰⣣⣀⠀⠀⠀⠑⠄⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⣿⣹⣡⣭⣷⣀⣀⣤⡾⣄⢠⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠈⠙⡓⠏⠀⠙⠿⠵⢴⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡌⠬⢿⣉⠓⠻⠦⠤⠚⢦⡀⡇⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠐⠳⣶⣿⣇⢄⡞⠣⠋⠔⠂⠀⠀⠂⠃⣷⣀⢀⡀⠀ ⠀⠀⢰⠃⠀⠀⠀⠘⣿⣿⣦⡇⠀⡧⠄⠀⠀⢀⠀⣰⣿⡿⠋⠉⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⣿⣿⡏⠀⠀⠀⠀⠀⠘⠁⣾⣿⣿⠁⠀⠀⠀ ⠀⢰⠀⠀⠀⠀⢀⡴⠿⠋⠅⠀⠀⠀⠀⠀⠀⠐⢿⣿⣯⠀⠀⠀⠀ ⠀⡆⢀⠄⠈⠉⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠇⠀⠀⠀ ⡰⠀⠀⠀⠀⠀⠀⠀⠀⡂⢸⠀⠀⠀⠀⢀⣤⠖⠛⠛⠛⠂⠑⠢⠄ ⣇⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⢣⡔⠒⠋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠤⠤⠤⠤⠤⠤⠤⠤⠤⠿⠷⠮⠤⠤⠧⠤⠄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⠲⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⡀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠔⠀⠱⡄⠀⠀⠀⣠⡴⠖⠉⠁⠀⠀⠀⠀⠀⠈⠑⠦⣀⠀⠀⠀⠀⢀⣾⡉⠲⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠫⠞⠀⠀⠙⣄⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀⢠⠞⠘⣧⡀⢸⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠦⢤⣀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠁⠀⠀⠏⣱⠞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢧⠀⠀⠀⠀⠀⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⣸⠀⠀⠀⡴⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⠀⠀⠀⢀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠏⠁⡏⠀⠀⣸⣤⡶⣦⣄⡀⠀⠀⠀⠀⢠⣤⡀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠻⡷⠆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡐⣶⠟⣽⣿⣿⣿⡷⠂⠀⠀⠀⠈⢈⠛⠓⠶⠆⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣼⣄⠀⠀⠀⠀⠀⠀⠀⢸⠀⢹⡏⠀⣿⣿⣿⣿⡇⠀⢀⠀⠀⢸⡾⠟⠻⠷⣦⣤⠀⡀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢹⠏⠁⠀⠀⠀⠀⠀⠀⣸⠀⣸⡇⠀⣟⠙⠃⢸⠃⠀⣾⣇⠀⠈⠀⠀⠀⠀⠀⠉⠉⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠙⢻⡄⠘⠷⡴⠟⠀⡶⣯⡿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠙⠾⠇⠀⢀⡀⠀⠀⠤⠠⠀⠀⠀⠀⢸⡄⢀⣀⣤⡀⠀⠀⠀⠀ ⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣤⣤⣄⣶⣾⡁⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠻⠟⠉⠀⠀⠀⠀ ⠀⠀⢻⡟⠀⠀⠀⠀⢀⡤⠚⠁⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣸⠗⢆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠙⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠃⠀⠀⠀⠀⠀⠀⠀⣠⠚⠁⠀⠀⠹⣤⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠂⠀⠀⠀⠙⠋⠟⢦⣀⢀⣀⠀⠀⠀⠒⠂⠀⠀⣀⣠⣤⣶⠶⠋⠁⠀⠀⠀⠀⠀⠌⢦⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⡿⠁⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⡋⠉⠛⠽⠛⠋⠉⠛⣿⠉⠁⠀⠀⠀⠀⠄⠀⣸⠀⠀⠀⠀⠹⣄⠀⠀⠀ ⠀⠀⣼⠋⠁⠀⠀⠀⢰⡆⠀⠀⠀⢳⡀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⣀⡀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠘⣷⡀⠀ ⠀⡼⠁⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠑⠀⢰⣿⡁⠀⠀⠀⠀⠀⠀⠸⠻⠄⢀⣹⣄⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀ ⡼⠅⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠀⠀⠀⠀⣾⠍⣛⣶⢤⣤⣀⣀⣠⣤⣴⠾⠟⠛⢹⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⡞⣏⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠊⠁⠀⠀⢀⡬⠷⢦⣴⡧⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣜⣀⣀⣀⠀⠰⢫⣶⢤⡯⠙⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⢦⣀⢠⡟⢁⣶⣈⡇⣀⣸⣻⡇⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⠾⠷⠚⣿⡂⠛⠿⢩⠋⠀⢀⡴⠛⠒⢒⡦⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⡜⠊⢉⠉⠰⣀⣴⡿⠀⠀⠸⡟⢶⡦⢤⣀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⢸⢦⣤⣤⣶⡯⢿⣿⡇⠀⠀⠀⡇⠀⢹⡆⠈⣅⠸⡷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⢳⠚⡿⢦⠀⠀⠉⠳⠿⠾⠝⠋⠀⠀⠀⣼⠃⢀⣼⠃⠀⠸⡀⣇⠀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⢾⠏⣾⡇⣇⠈⠳⢄⡀⠀⠀⠀⠀⠀⠀⢀⡴⠃⣠⣾⡻⣷⣷⡀⡇⣸⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⡼⠁⢸⢀⠉⣧⢻⣦⡀⠀⠉⠒⠦⢤⣤⠤⠖⣋⡠⣾⠟⠁⣗⣧⣸⡿⢸⡟⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀ ⠀⠀⢀⡾⡁⠀⢸⠈⢹⣿⣦⠙⢯⣓⡢⠤⣤⣤⡔⣷⡯⠗⠋⠁⠀⠀⠀⠈⠉⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀ ⠀⢀⡞⠀⠀⠀⠘⣷⠉⠻⠟⠀⠀⢈⣭⣷⣤⣾⠷⢿⡓⠻⠀⠀⠀⡀⠀⠀⠀⠀⠀⢧⡀⠀⠀⠀⡄⠀⠀⠀⠀⠘⡄ ⠀⡾⠀⢀⠀⠀⠀⢹⠀⠀⠀⠀⢀⡀⢠⡿⠃⠈⠇⠈⢧⠸⠷⠀⠷⢷⡆⠀⠀⠾⢶⡎⠻⡷⣄⡰⣡⠞⠁⠀⠀⠀⣸ ⣼⠁⠀⠈⢓⢤⣀⣿⠀⠼⡯⣀⣈⣩⠞⠀⠀⠀⠀⠀⠈⠓⠒⠒⠒⠚⠒⠚⠒⠚⠲⠤⢄⣽⣸⠙⠁⠀⠀⠀⠀⠀⡏ ⡇⠀⠀⠀⠈⠓⠮⣿⣶⠚⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡿⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⢧⠀⠀⠀⠀⠈⠉⠻⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠃⠀⠀⠀⠀⠀⠀⡸⠀ ⠘⣆⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢤⣀⠀⠀⠀⠀⣸⠃⠀ ⠀⠙⢆⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡇⠀⠈⠉⠛⠒⠲⡇⠀⠀ ⠀⠀⠈⠳⡄⠀⢠⠞⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢞⣽⡇⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠈⠲⡁⠀⢸⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⢒⣩⠖⠋⠀⣻⡤⠤⢄⣀⣀⣴⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠦⣼⠀⠈⠻⢝⡒⠦⠤⠤⠤⠤⠤⠤⠤⠴⠒⢊⣉⠤⠒⠋⠀⠀⠀⠀⣿⠉⠉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠈⠉⠒⠲⠶⠶⠶⠶⠖⠚⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠓⠶⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠴⠒⠊⣹⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⢀⡆⠀⠀⣹⠋⠒⠾⠶⠦⠤⠶⠶⠲⡏⠉⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⢧⠀⠀⢀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⢀⣾⠀⠈⠳⠀⠋⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢘⣽⡣⣄⣀⣀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⡇⠀⢀⣀⣸⣓⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡜⠁⠏⠓⠛⠓⠹⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣯⡽⣿⢾⠿⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠔⠊⠉⠀⠀⠀⠀⠀⠀⢨⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠋⠈⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠳⠤⠤⢤⣤⠤⠤⠒⠒⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⣹⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠶⠤⠴⠶⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛🟧⬛🟫🟫🟧⬛🟧⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬛⬛⬛⬛⬛⬛⬛⬛🟧🟧🟧🟧🟫🟧⬛🟫🟫🟧🟫🟧🟧🟧⬛⬛⬛⬛⬜⬜⬜⬜⬜ ⬜⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🏽🏻🟧⬛🟫🟫🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛⬛⬛⬜⬜ ⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🏻🏻🟧⬛🟫🟫🟧🏽🏽🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛⬛ ⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🏽🏻🏻🏻⬛⬛🟫🏽🏻🏻🏻🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛ ⬛🟧🟧🟧🏽🟧🟧🟧🟧🟧🟧🏽🏻🏻🟧🏻🟧⬛🟫🏽🏻🏻🏻🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛ ⬜⬛🟧🟧🏽🏻🟧🟧🟧🏽🏻🏻🏻🟧🟧🟧🟧⬛🟫🟧🟧🏻🏻🏻🏻🟧🟧🟧🟧🏽🏽🟧⬛ ⬜⬜⬛🟧🏽🏻🏻🟧🟧🏻🏻🏻🟧🟧🟧🟧🟧⬛🟧🟧🟧🟧🏻🏻🏻🟧🟧🟧🏽🏽🏻⬛⬜ ⬜⬜⬜⬛⬛🏽🏻🏻🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛🟧🟧🟧🟧🟧🟧🟧🟧🏽🏽🏽🏻⬛⬜⬜ ⬜⬜⬜⬜⬛🟧🟧🟧🟧⬛⬛⬛⬛⬛🟧🟧🟧🟧🟧🟧⬛⬛⬛⬛⬛🟧🏽🏻🏻🏻⬛⬜⬜ ⬜⬜⬜⬜⬜⬛🟧🟧🟩🟩⬛⬛⬜⬜⬛🟧🟧🟧🟧⬛⬜⬜⬛⬛🟩🟩🟧🟧🟧⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟧🟩🟩⬛⬛⬛⬜⬜⬛🟧🟧🟧🟧⬛⬜⬜⬛⬛⬛🟩🟩🟧⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟧🟧🟩⬛⬜⬛⬛⬛⬛🟧🟧🟧🟧⬛⬛⬛⬛⬜⬛🟩🟧⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟧🟧🟩🟩⬛⬛⬛⬛⬛🟧🟧🟧🟧⬛⬛⬛⬛⬛🟩🟩🟧⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟧🟧🟧🟧🟩🟩🟩🟩🟩🟧🟧🟧🟧🟩🟩🟩🟩🟩🟧🟧🟧⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧🏻🏻🏻🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛🟧🟧🟧🟧🟧🟧🟧🏻🏻🟥🟥🏻🟧🟧🟧🟧🟧🟧🟧⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧🏻🏻🏻🏻🏻🟥🟥🏻🏻🏻🏻🏻🏻🟧🟧⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🟧🟧⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛🟧🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🟧⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟧🟧🏻🏻🏻🏻⬛🏻⬛🏻🏻⬛🏻🏻🏻🏻🏻🟧⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟧🟧🟧🟧🏻🏻🏻🏻⬛⬛⬛⬛🏻🏻🏻🏻🏻🟧🟧🟧⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟧🟧🟧🟧🟧🟧🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻🟧🟧🟧🟧⬛⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧🏻🏻🏻🏻🏻🏻🏻🟧🟧🟧🟧🟧🟧🟧⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧🟧⬛⬜⬜⬜
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀ ⠀⠀⢀⡀⠀⠀⠀⠀⢀⡠⠔⢒⣐⣒⠂⠤⡀⠀⠀⠀⠀⠀⠀⢦⠀⢠⣿⡟ ⠀⠰⣿⣷⠀⠀⠀⣴⣿⣬⣉⣁⣙⣲⣄⣀⣈⣤⡀⠀⠀⢀⣶⣼⢑⢁⠜⠀ ⠀⠀⠀⠉⠳⣤⣼⣿⣷⣾⣿⣿⢻⣼⣿⣿⣿⣿⣽⣄⣠⡾⠛⠋⣾⠊⠀⠀ ⠀⠀⠀⠀⠀⡟⠉⠛⠛⢻⢛⡯⠭⢤⠉⠛⢿⠿⠉⠃⠏⠀⠀⠀⠹⣧⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⣠⡴⠿⠿⣶⣦⣼⣷⠴⢾⣷⣦⡀⠈⡀⠀⣀⠤⢱⡆⠀ ⠀⠀⠀⢀⡧⠀⠞⣥⣀⣀⣀⣠⠊⠉⠹⣀⣀⣈⣻⢿⡧⢸⠭⠒⠊⠁⠀⠀ ⠀⢀⣔⠽⡇⠀⠀⠈⠻⣿⣯⣿⣹⣏⣙⣏⣿⡿⠏⠈⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡎⠇⠀⠘⣇⠀⠀⠀⠐⠻⠬⠤⠬⠭⢯⠉⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀ ⢀⢳⠀⠀⠀⠘⣷⣀⠀⠀⠀⠀⠀⠀⠀⢀⠧⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀ ⢸⢱⠀⠀⠀⠀⡞⡸⠓⠤⣀⡀⠀⠀⠀⢶⣄⡠⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣼⡇⠀⠀⢠⢣⠃⠀⠀⠀⠈⠉⠉⠉⢹⠉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠹⣇⠓⠀⠀⠘⣾⠀⠀⠀⠀⠀⠀⠀⠀⢠⢧⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠠⡱⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡤⡄⡤⠘⢛⡀⠀⠀⠀⠀⢀⡴⢡⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠉⠉⠙⠋⠉⠀⠀⠀⠀⠀⠘⠒⠤⠤⠭⣹⣿⡦⠀⠀⠀⠀⠀⠀⠀⠀
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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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