Coffee Dot Art

Copy & Paste Coffee Dot Art Emojis & Symbols

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

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠒⠶⠤⡀⠀⠀⠀⠀⠀⠀⠀⣸⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡤⠴⠿⠂⠀⠀⠀⠀⠀⣠⠿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠖⠛⠋⠉⠀⠀⠀⠀⠀⢀⣀⣠⠤⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠶⠚⠉⠁⠀⠀⠀⢀⣀⣠⠤⠤⠒⠒⠊⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡞⠉⠀⠀⠀⠀⢀⣤⠖⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣷⠇⠀⠀⠀⠀⢯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠓⠒⠿⠿⣟⡛⠓⠒⠒⠛⢒⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⡤⠦⠴⠾⡿⠒⠛⠛⠛⣳⠿⠷⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⣶⠟⠛⠉⠉⠁⠀⢀⣠⠞⠁⠀⣠⡤⠚⠁⠀⠀⠀⠈⠉⠙⠻⢷⣶⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣏⠀⠀⠀⠀⠀⣀⣤⣯⣤⣤⣴⣿⣿⣶⣦⣤⣤⣤⣀⠀⠀⠀⠀⠀⠉⢻⣧⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⣿⣿⣄⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣶⣤⡀⠀⢰⣿⡇⣀⣀⡀⠀⠀ ⠀⠸⣿⣿⣿⣿⣟⣯⡿⣿⡛⢛⣭⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣟⣦⣼⣿⣿⣿⣷⣿⣿⡟⣉⡉⠙⣧⠀ ⠀⠀⢹⣿⣿⣿⡿⢿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠋⠉⠁⣼⡿⠋⠉⠹⡆⢸⡆ ⠀⠀⠀⣿⣿⣿⣿⣤⡄⠀⠀⠉⠉⠉⠉⠙⠋⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⢐⡿⠁⠀⠀⢰⡇⣸⠃ ⠀⠀⠀⠘⣿⣼⣿⣿⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠁⠀⣀⡴⠟⣸⠟⠀ ⠀⠀⠀⠀⠘⣿⣿⣿⣿⣾⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣶⣖⣊⣭⠴⠋⠁⠀⠀ ⠀⠀⠀⠀⣀⣨⣿⣿⣿⣿⣿⣶⡔⣡⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣏⡉⠉⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⣀⣴⠾⠛⠛⠉⣩⣿⣿⣿⢿⣿⣿⣿⣿⣠⣦⣤⣆⣀⣤⣠⣴⣿⣭⡉⠙⠛⢷⣦⠀⠀⠀⠀⠀⠀⠀ ⢰⡿⠃⠀⠀⠀⣼⣿⢿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠛⠛⠛⢋⣻⠀⠈⠙⣿⠄⠀⠀⣿⣷⡄⠀⠀⠀⠀⠀ ⣿⣧⠲⡀⠀⠀⢿⣿⣏⡉⠉⠉⠉⠙⠛⠒⠺⠖⠒⠛⠋⠉⠉⠀⠀⣰⠟⠀⠀⠀⡎⣻⡇⠀⠀⠀⠀⠀ ⠙⠿⣷⣬⣷⢤⣈⡉⠲⠉⣇⠒⠒⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠁⠀⠀⢀⢀⣴⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠈⠛⠻⢿⣶⣭⣿⣶⣤⣤⣤⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⣀⣀⣤⣴⡷⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠛⠛⠿⠿⠛⠿⠟⠛⠛⠋⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠒⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⠤⢄⣀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠨⠧⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⠤⠔⠒⠉⠉⠁⠀⠀⢀⣀⠤⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠖⠊⠁⠀⠀⣀⠠⠄⠒⠂⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣴⠀⠀⠀⠰⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠁⠒⠒⠒⠛⠓⠶⣒⠀⠀⠀⠠⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣤⠴⠶⠓⠓⢛⡟⠉⠉⢉⠽⠛⠓⠲⠦⣤⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⢀⣶⡟⠉⠀⠀⠀⣀⣖⣉⣠⣴⣮⣥⣀⣀⡀⠀⠀⠀⠉⠻⣶⡀⠀⠀⠀⠀ ⠀⣾⣿⣧⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣷⣤⣄⠀⣸⣇⣀⣀⡀⠀ ⠀⢹⣿⣿⣿⣧⣿⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⠿⠿⢿⣿⠥⢄⠹⡄ ⠀⠈⣿⣿⣿⣉⠉⠉⠛⠛⠛⠿⠟⠛⠛⠛⠛⠛⠉⠀⠀⠀⢠⡿⠁⠀⢸⠀⡇ ⠀⠀⠘⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⢀⡴⣋⠞⠁ ⠀⠀⠀⠙⣿⣿⣿⣷⡆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡷⠭⠷⠊⠁⠀⠀ ⠀⢀⣤⠶⠿⢻⣿⣿⣿⣷⣷⣦⣀⣀⣀⠀⡀⣀⣴⡞⠻⠶⣤⡀⠀⠀⠀⠀⠀ ⣼⠋⠀⠀⢰⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠟⣛⡏⠉⠻⡦⠀⠈⣿⡆⠀⠀⠀⠀ ⣿⣜⢆⡀⠸⢿⢯⡉⢉⣉⠉⠉⠛⠋⠉⠉⠉⠀⣀⠜⠁⠀⠀⢋⡿⠀⠀⠀⠀ ⠈⠙⠿⣿⣶⣦⣤⣈⣀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⠶⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠙⠛⠻⠿⠿⠿⠿⠿⠿⠒⠒⠒⠚⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⢻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠘⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡆⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⣀⣀⣀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠒⠒⠋⠉⠉⠻⣧⠀⠀⠀⠈⠉⠁⠀⠀⠀⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⣀⣀⣀⣀⣤⣽⣦⣄⣀⣀⣀⣀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⠷⠾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠶⠚⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⡏⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⣸⠛⠻⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⢠⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣎⣠⣴⠿⠃⠀⠀⠀ ⠀⢀⣠⠔⠒⠈⠉⠀⠹⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠛⠛⠉⠒⠢⣄⠀⠀ ⠀⣿⡁⠀⠀⠀⠀⠀⠀⠈⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⡃⠀⠀⠀⠀⠀⠀⠀⡟⠀ ⠀⠙⠻⣶⣀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠦⣤⣄⣀⣀⣀⣤⣤⣾⣯⡵⠞⠋⠀⠀⠀⣀⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠻⠿⠿⠶⠶⠤⠤⠤⣄⣀⣀⣀⣀⣀⣀⣀⣀⡠⠤⠤⠤⠴⠖⠉⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡾⠛⠋⠉⠁⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠉⠉⠛⠷⣦⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⣟⢧⡴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣠⢿⣁⢈⡙⢦⠀ ⠀⠀⠀⠀⢿⠑⡮⢭⣓⣛⠻⠿⠿⠭⠭⠭⠿⠿⠿⠛⣛⣋⡭⡖⣹⢸⡉⢫⡜⡇ ⠀⠀⠀⠀⠘⡄⠁⠐⠀⠯⠍⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠐⠉⢁⡯⠝⠋⠄⢦⠃ ⠀⠀⠀⠀⢀⣱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡀⠔⢀⡼⠋⠀ ⠀⣠⡴⠞⡉⠅⠿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠓⠲⢬⡛⠶⣄⡀ ⣾⡏⢠⡎⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠈⢣⠈⣷ ⠹⣷⣀⠑⠦⣄⣀⠀⠀⠙⠲⠦⠤⣤⣤⣤⡤⠤⠴⠚⠁⠀⠀⢀⣀⡤⠖⢃⣴⡟ ⠀⠈⠙⠻⢶⣤⣄⣉⣙⠓⠒⠒⠲⠤⠤⠤⠤⠴⠒⠒⠒⢛⣉⣉⣤⡴⠾⠛⠁⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠐⠏⢁⡀⠀⠀⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠠⠤⠀⠃⠀⣀⠤⠃⠀⠀⠀ ⠀⠀⡠⠐⠈⢁⠠⠄⠐⠂⠈⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠛⠠⠤⠵⠤⡤⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠔⠒⠊⡩⠋⣩⠝⠉⠑⠒⠦⣄⠀⠀⠀ ⠀⣼⣷⣤⣶⣾⣿⣿⣿⣿⣿⣶⣦⣄⣸⣆⢄⡀ ⠀⠸⣿⣟⠛⠲⠿⠿⠿⠿⠿⠟⠋⠉⣹⠃⢰⠁ ⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣠⡁⣔⠏⠁ ⠀⣠⠴⢛⣿⣿⣶⣦⣄⣀⣀⣤⡚⠫⣄⠀⠀⠀ ⢸⡥⡀⢺⢟⡛⠛⠋⠍⠉⠚⢀⠜⠀⢘⡇⠀⠀ ⠀⠙⠛⠷⢶⣥⣤⣤⣤⣀⡀⠠⠤⠖⠊⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⢹⣄⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⢺⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⣿⠠⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡟⢰⠀⠀⠀⢀⣰⠟⠀⠀⠀⣠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡾⠀⠈⠀⠀⠀⣾⠃⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⢻⡏⠀⠀⠀⠀⡾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⢿⣤⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⣴⣶⢾⣿⣟⣛⠛⠛⠋⢙⣉⣛⡋⠉⠙⠛⠛⠓⠲⠶⡶⣦⣄⡀⠀⠀⠀⠀⠀⠀ ⢻⡿⠿⢿⣿⣍⣉⣉⡉⠛⠛⠛⠛⠻⢿⣿⡛⠻⠶⢾⣟⣛⣛⣛⣿⣿⣿⡷⠄⠀⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠛⠛⠛⠛⣿⠟⠋⠉⠉⠉⠉⠉⠉⠀⣿⠁⠀⠀⠀⠀⠀ ⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠓⢦⣄⠀⠀⠀ ⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⣾⣇⡀⠀⠈⢷⡀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⠴⣿⡷⢶⣦⠀⠀⠀⠀⠀⠀⣿⠉⢻⡆⠀⠀⢻⡄ ⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢤⣿⡀⢠⡿⠀⠀⠀⠀⠀⢸⡏⠀⣠⡇⠀⠀⢸⡇ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⣀⣈⣂⣸⡇⠀⠀⠀⠀⠀⣼⣧⡴⠟⠁⠀⠀⣼⢃ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠃⠀⠀⠀⠀⢀⡟⠉⠀⠀⠀⣠⣾⠏⠀ ⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣧⣤⣤⡶⠾⠋⠁⠀⠀ ⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠓⠒⠦⢤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣤⣤⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠓⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⢢⠀⡆⢰⠹⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⡘⠀⠁⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣈⣀⣀⠠⠤⢅⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣰⠾⢿⣿⣿⡷⠟⠂⠂⠐⢦⠤⢄⣉⢲⠀⠀⠀⠀⠀ ⠀⠀⣴⡡⠼⣻⠴⠀⠖⠉⠉⠉⠉⠉⠉⡹⠁⢨⢹⠀⠀⠀⠀⠀ ⠀⠀⢿⣥⠀⠇⢚⠈⡍⠀⠀⠀⠀⠀⠀⡇⠀⠈⡌⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⠵⠺⢌⢄⢕⡀⠀⠀⠀⠀⠀⡌⠉⠺⡀⠀⠀⠀⠀⠀ ⠀⠀⣀⣠⡤⠀⠀⢳⣯⠴⢀⣀⣀⣀⠠⠌⢲⠮⠤⠤⣀⣀⠀⠀ ⠐⠟⢉⣕⡓⠇⠠⢀⢙⠛⠃⠶⠶⠤⠀⠒⠁⠀⣄⢠⣾⣵⡭⠆ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠖⠒⠒⠒⠦⣄⣰⠯⣐⣒⢙⢆ ⠀⠀⠀⠀⠀⠀⣀⡤⠔⠊⠉⠐⠀⠁⠀⠀⠀⠀⣀⡼⣯⠎⠁⠈⡇⢻ ⠀⠀⢀⡠⢖⠫⠐⠈⠀⠀⠀⠀⠀⠀⣀⣠⠴⢚⡡⢴⣿⠀⠀⡰⢃⡞ ⣠⠲⠑⠈⠀⠀⠀⠀⣀⣀⣤⢴⣶⢫⠟⡓⢧⠇⠴⣆⣿⡰⣮⠞⠉⠀ ⢹⣝⣒⣒⣒⣚⣫⣉⡉⡖⢩⣵⡹⢴⡺⠃⠀⠙⠋⣩⣽⢿⡇⡤⡄⠀ ⠀⢳⡀⠀⠀⠀⠀⣬⣹⣸⠈⠛⠁⠀⠀⠀⠀⠀⠌⣶⣿⠮⣝⣫⠏⠀ ⠀⠀⢳⡀⠀⠀⠀⠑⠒⠁⠀⠀⠀⠀⠀⠀⠀⢐⠯⣲⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡦⣷⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⣀⣠⡽⢿⣥⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠲⠦⣤⣖⠚⣉⡡⠴⠚⢉⡴⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢯⠉⠉⠁⢀⣀⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠆⠀⠀⠀⢀⡟⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡏⠒⠀⠀⣠⠟⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡞⠀⠀⠀⠰⡏⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⣧⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠳⠂⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⣤⣶⣶⣟⣛⡛⠛⣛⣛⣛⡛⠓⠒⠒⠒⣶⣤⣄⡀⠀⠀⠀⠀ ⢻⠛⠛⠻⠦⠤⠬⢭⣭⣩⣽⣿⣯⣽⠿⠿⠿⠭⠿⠿⡿⠀⠀⠀⠀ ⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠀⠀⠀⠀⠀⢰⡷⣄⡀⠀⠀ ⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⣼⣄⠀⠙⢦⠀ ⠀⣷⠀⠀⠀⠀⠀⠀⠀⢰⠖⢻⡟⢲⡆⠀⠀⠀⠀⡟⠈⢷⠀⠈⣷ ⠀⢻⡀⠀⠀⠀⠀⠀⠀⣼⠀⠘⠆⢸⠁⠀⠀⠀⢸⣇⣰⠟⠀⠀⣿ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠀⠀⠀⠀⣾⠉⠀⠀⣠⡾⠃ ⠀⠰⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠶⠶⠚⠋⠀⠀ ⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠙⠒⠦⠤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣴⠇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⠤⣐⠤⠝⠓⠒⠀⠀⠀⠀⠒⠚⠃⠤⣂⠤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡧⡘⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢃⢼⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠀⢠⠒⠒⠂⣁⠈⠢ ⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢠⠔⠁⠀⢱⠀ ⢀⠄⡢⠔⠂⠙⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠐⢊⠔⠁⣔ ⢇⢇⠀⠀⠀⠀⠘⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢂⡉⠉⠈⠁⠔⠪⠂ ⠀⠈⠑⠪⢤⡖⣀⣨⠦⠄⠀⠀⠀⠀⠀⠀⠀⠷⣅⣀⡐⣮⠗⠚⠁⠀ ⠀⠀⠀⠀⠀⠘⠠⢀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠠⠊⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡈⠁⠀⠀⢀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡷⢦⡀⠀⢳⡀⠀⡾⢿⣧⣽⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⠿⠀⣷⠀⣸⠁⠀⡇⠈⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⠋⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠘⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⠤⠤⠤⠤⠴⠶⠶⠦⠤⠤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣶⣺⣿⣽⣿⣿⣿⣷⣶⣿⣤⣀⣤⣀⣠⣤⣄⣀⠀⡈⠉⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠖⢺⣧⣉⠛⠛⠻⠿⠿⢯⣅⣀⣀⣀⣀⣀⣀⣨⣿⣭⣉⡽⠷⣶⣚⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣾⢁⡶⢾⡟⠿⢭⣽⠀⢶⡖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⣭⠆⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⢾⠀⠀⣿⠈⣒⣆⠀⡶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⡾⢉⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⡟⣆⠀⠸⡇⠤⠥⠈⣛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣇⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢷⣌⠳⠴⢷⡀⢲⡀⠒⡤⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⠙⠳⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⠉⠙⢦⡒⢊⡓⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣄⠀⠀⢈⠗⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⡠⠴⠤⠖⠚⠻⣷⡥⣘⣂⣀⣀⣀⣀⣀⣀⣀⣀⡤⠞⣷⠶⠧⠤⠤⢀⣀⣀⠀⠀⠀⠀ ⣠⣴⡾⠿⠟⣓⣧⣤⡄⠀⠀⠀⠻⣟⣷⣤⣌⢭⢉⡩⣍⠉⠀⠀⢀⣠⠟⠀⠀⠀⠀⠤⠙⣻⢯⡙⠲⣄ ⠘⠿⠤⠤⢎⣉⣀⣐⠋⢡⠖⢠⡄⡈⠉⠉⠉⠛⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⢀⣦⣄⢸⣿⣿⣾⡿⠾⠟ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠒⠒⠒⠛⠛⠛⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⠤⠤⠤⠤⠔⠒⠖⢒⣒⣒⣖⡖⠖⠲⣶⠶⠦⢤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠛⣉⣥⠤⠶⠒⠚⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠓⠒⠶⠤⢬⣉⠛⠲⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⠁⢠⡖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢲⡀⠈⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⣀⠘⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠞⠃⣀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠉⠓⠲⠤⣌⣉⣓⠒⠲⠤⠤⠤⢤⣤⣄⣀⣀⣀⣀⣀⣠⣤⡤⠤⠤⠴⠶⠒⣛⣋⣭⠤⠖⠚⠉⢰⠇⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠚⠋⠉⠉⠉⠀⠀⠀⣠⡶⠶⢿⠤⠖⠛⠉⠀⠀⠈⠛⢦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠏⠀⠀⠀⠀⢀⣠⠤⠤⣄⡀⠀⠈⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡆⠀⢀⣠⠖⠋⠀⠀⠀⠈⢻⠀⠀⢸⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢲⣏⠁⠀⠀⠀⠀⠀⠀⣸⠀⠀⢸⠃ ⠀⠀⠀⠀⠀⣀⡤⠴⠒⢛⣉⣩⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢭⣍⣙⠒⠲⠤⣄⣴⠋⠀⢠⡟⠀ ⠀⢀⣤⠞⢋⣥⠴⠚⠉⠉⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠈⠉⢙⡶⠟⠁⠀⣠⣟⠀⠀ ⣴⡏⢀⡾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠾⠓⠲⠤⠤⠴⠚⠋⠀⠀⣠⡾⣯⠙⣧⠀ ⠹⣇⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⣀⣀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠁⣰⠏⢠⡿⠀ ⠀⠈⠳⢦⣿⠷⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠙⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⣠⠞⠉⠉⠉⠓⠒⠒⠚⣉⣁⡤⠖⣋⣡⠴⠋⠀⠀ ⠀⠀⠀⠀⠈⠙⠒⠦⣬⣍⣙⡒⠒⠦⠤⠤⠤⣬⣳⣄⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣹⣟⣁⡤⠤⠤⠤⠶⢒⣛⣉⣯⡷⠖⠚⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣟⠙⠓⠒⠒⠶⠦⠤⠤⠤⢬⣭⣭⣭⣍⣉⣉⣉⣉⣭⣭⣭⡭⠤⠤⠤⠤⠴⠖⠒⠒⠛⢙⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠲⠤⠤⢤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⡤⠤⠤⠴⠒⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⠖⠛⠉⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠳⢦⠀⠀⠀⠀ ⢀⡶⠛⠻⣴⣏⣒⢤⠤⣴⣒⣦⣖⣤⣤⣤⣶⣒⣦⡴⢶⡋⡆⠀⠀⠀ ⠘⣿⣄⠀⠘⣿⣦⣑⠓⠤⢤⠔⠉⣥⣤⣩⣟⣋⣀⣤⢛⣴⠀⠀⠀⠀ ⠀⠈⢿⢷⣄⣹⣆⠉⠋⢛⠟⢛⠶⠟⠿⠛⢛⡟⠃⠼⠛⠞⠀⡀⠀⠀ ⠀⠀⠀⠁⠫⠝⢷⡀⢀⣮⣼⣧⣤⣒⠈⢡⠿⠀⢀⡄⠀⠀⠀⡇⠀⠀ ⠀⠀⣀⡤⢤⡒⢶⣷⣄⣯⣿⠻⠿⢿⣯⢸⡇⢠⣾⣇⣀⣀⣀⣥⡀⠀ ⠀⠜⢧⡀⠀⢙⣶⣿⣿⣷⣤⣍⣙⣿⣵⣴⣶⣿⠿⢮⣅⣀⢈⣠⡾⠳ ⠀⠀⠑⠨⠍⣚⣛⡻⠿⠿⠿⠶⠿⠿⠿⠿⠿⠿⢿⣾⣟⣛⠫⠅⠂⠁ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠶⠖⠶⣦⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⠴⠶⠒⠛⠛⠛⠛⠶⢦⣄⠀⢠⣿⡥⠂⠀⠐⠂⡙⣧⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠞⠛⠉⠁⠄⠐⠀⠀⠀⠀⠀⠉⠀⠀⢙⣷⣿⢆⣴⠟⠛⠻⣦⠙⣜⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⢻⣷⡾⠁⠀⠀⠀⢸⡇⠉⣿ ⠀⠀⠀⠀⠀⠀⢀⣠⡴⠞⣋⠥⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠟⠉⢀⣼⣿⠁⠀⠀⠀⢀⡼⠁⣸⡏ ⠀⠀⠀⢀⣠⠶⢋⡡⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⠿⡛⠉⡤⠶⠚⢻⢿⣿⡀⠀⠀⣰⠟⣡⣾⠟⠀ ⠀⣤⠖⣫⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⡶⣿⢛⣭⠿⠛⠛⢿⣿⣅⢀⡾⣆⢈⣿⣇⣴⣿⣡⡾⠟⠁⠀⠀ ⠸⣧⣬⣁⣀⣀⣀⣀⣀⣀⣀⣤⣤⡶⠶⠾⢻⡿⠯⣌⢿⡇⢸⡁⢀⣶⠀⠈⢳⣭⣉⣴⠿⣿⣿⣿⣽⣿⠋⠀⠀⠀⠀⠀ ⠀⢿⣮⣍⣉⠛⠛⣛⣉⣩⣭⣤⡀⣀⡀⢸⡏⠀⣶⣼⢦⡿⣦⣝⣽⠟⠀⠀⠀⠈⠉⠀⣀⣴⣿⡿⣿⣇⠀⡶⢶⡀⠀⠀ ⠀⠈⣿⡀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⢿⡀⣧⠀⠿⡯⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣋⢥⣿⣧⡛⢿⣦⣿⣸⡇⠀⠀ ⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⣼⢧⣼⢧⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣡⣾⢿⣿⠉⠻⠶⠶⠾⠛⠀⠀⠀ ⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠘⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢞⣩⣴⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡩⢄⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣷⣪⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⠾⠿⠛⣫⡿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⣤⣀⣀⣠⣤⡶⠾⠛⠋⠉⣀⣤⠶⠟⠋⢔⣠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣿⣧⣶⣦⣤⡶⠞⠛⠉⠀⠀⠀⣸⣿⣽⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢷⣤⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣶⣮⣤⣤⣤⣤⡶⠶⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡁⠀⠀⠈⡆⠀⠀⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⢣⠀⠀⠀⡄⠀⢀⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⡜⠂⠀⡜⠀⢠⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠸⡀⠀⠘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⣴⠶⢒⣒⣒⣒⣒⣒⣢⣤⣄⠀⠀⠀ ⢸⠀⠉⠉⠀⠀⠀⠛⠂⠈⠉⠉⡽⡀⠀⠀ ⠀⡆⠀⠀⠀⠀⣀⣼⣀⠀⠀⠀⡧⡀⠣⡀ ⠀⢧⠀⠀⠀⠀⣇⣺⣸⠀⠀⢸⡰⠃⢀⠇ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡮⠤⠴⠋⠀ ⠀⠈⠦⣀⡀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠹⣄⠀⠀⠀⣀⡴⣾⠿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢻⡛⠷⣄⠀⠀⠙⡇⠀⢰⠿⢹⣿⣷⣾⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣽⣿⠁⢹⡆⠀⢠⠇⠀⢸⠀⠀⠹⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣸⠁⠀⠿⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⣀⣠⣤⣤⣤⠤⠴⠶⠶⠶⠦⣦⣤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⡶⣿⣻⣿⣽⣷⣶⣦⣤⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠲⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠾⣽⣿⣿⣯⢿⣿⠟⣛⡿⠛⠛⠛⠓⠛⠛⠛⠚⠛⢿⢷⠶⠦⠤⣤⣄⡀⣀⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡶⠛⠉⣿⡷⣦⣄⣉⣉⠉⠛⠛⠛⠳⠶⢤⣤⣦⣤⣤⣤⣤⣦⣤⣶⣯⣷⡦⠴⠒⠚⣿⣭⡎⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣿⢀⣴⡶⢿⡇⠳⢯⣉⣿⡁⢻⣿⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⣩⡶⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣏⢸⠃⠀⠀⣿⠘⠷⢤⡄⠀⣄⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⢸⠟⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⣏⡹⣇⠀⠀⢿⣇⠘⠲⠗⠀⣼⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⠀⠀⠀⠀⠛⠁⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣷⠻⣆⠀⠘⣿⠘⠓⠒⠀⠤⡆⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⣀⣀⡀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣆⡙⠷⠶⢿⣦⠈⣛⡀⠘⠣⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠉⠉⠻⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠿⠶⠾⠛⢷⣌⠩⣤⠻⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡀⠀⠀⠀⠈⢳⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣀⣙⣷⣤⡛⠇⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣦⣀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣠⣤⠶⢶⠚⠛⠉⠉⠉⠉⠉⣻⣿⣗⡶⠦⠤⣤⣤⣤⣤⣤⣤⣤⡤⠤⠴⠒⠋⠁⡟⠛⠓⠒⠒⠒⠲⢦⣤⣤⣄⣀⠀⠀⠀⠀ ⣠⡶⣺⡿⠷⠚⢛⣻⣧⣤⡄⠀⠀⠀⠀⠘⣯⣇⢷⢦⢤⡀⢤⡈⣍⢡⣄⠀⠀⠀⠀⠀⣀⣴⠏⠀⠀⠀⠀⠀⡤⠄⢙⣛⠯⣍⠙⠲⣤⠀ ⠻⢾⣄⣀⣀⠞⠋⠉⠀⠰⠗⠛⣀⠶⠂⣀⡀⡉⠉⠙⠛⠛⠿⠷⠿⠿⠿⠶⠖⠚⠋⠉⠁⠀⠀⠀⠀⢰⡄⣀⠰⣞⣿⡿⣶⣟⣧⣶⡾⠃ ⠀⠀⠀⠀⠉⠉⠉⠛⠛⠲⠶⠶⠿⠶⠶⠿⠦⠧⠤⠤⠤⢤⣦⣦⣤⣤⣀⣀⣀⣠⣤⣶⣶⣦⠤⠴⠶⠾⠿⠿⠶⠾⠛⠛⠉⠉⠉⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣤⣶⣴⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣶⣿⣿⣿⣿⠿⠿⠿⠟⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠿⠿⠿⠿⣿⣿⣿⣶⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⢿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⠋⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠈⠛⣿⣿⣷⣴⢦⣤⣤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣇⠀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⠀⢀⣿⣿⡏⠀⠀⠀⠉⠻⣷⣦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣌⠻⣿⣝⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣻⣴⡿⢛⣼⣧⠴⡒⣦⣤⡀⠈⢿⣷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠙⢷⣦⣍⠙⠻⠷⢾⣯⣭⣙⣛⣛⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣛⣛⣫⣽⣽⣷⠶⠿⠛⠉⣡⣴⠟⡿⠁⣴⠛⠉⠳⣟⢆⠀⢿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⢰⠬⣛⠻⢷⣶⣦⣄⣀⣈⠉⠉⠛⠛⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠛⠛⠉⠉⣁⣀⣀⣤⣶⡾⢿⣛⠁⣀⣇⠀⣿⣄⠀⢀⠘⡌⣇⢸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠈⠓⠧⢄⣠⡌⠙⣛⠛⠻⠿⠿⠿⠶⢶⣶⣤⣤⣤⣤⣤⣤⣤⣶⣶⠶⠶⠾⠿⠿⠛⠛⠛⠉⢡⣐⡺⠽⠋⠀⣿⠿⣷⣤⣭⠿⠃⢰⠁⣿⢸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠈⠉⠑⠚⠛⠤⠴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⢰⣿⠤⠒⠊⠉⠀⢠⠏⢠⠇⣼⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⢀⡴⠋⢠⢋⣾⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⢀⣠⠖⠋⠀⢀⣴⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⠿⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠛⠛⠉⠀⢀⣠⣶⡟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣴⣿⡿⠟⠋⠁⣀⡤⣼⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠓⠒⢲⣿⣟⡉⠛⠻⢿⣷⣦⣀⠀⠀⠀ ⠀⢀⣴⣿⡿⠛⠁⢀⣤⣖⠋⠃⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠋⠀⠀⠀⠀⠈⠙⠛⢷⣦⡄⠉⠻⣿⣷⣆⠀ ⢰⣿⣿⠏⠀⠀⣴⡿⠊⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡦⡀⠀⢹⣿⣷ ⣿⣿⣏⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡇⠀⠀⣿⣿ ⢹⣿⣿⣄⠀⠀⠙⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣼⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠀⠀⣰⣿⣿ ⠀⠹⣿⣿⣦⣄⠀⠀⠙⠛⠽⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠷⢶⣶⣶⣶⣶⣶⣶⣶⣶⡶⠾⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⡲⠟⠋⠁⢀⣠⣾⣿⡿⠃ ⠀⠀⠀⠙⢿⣿⣷⣶⣤⣀⠀⠀⠉⠙⠚⠫⠵⣶⣖⣤⠤⢤⣄⣀⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣠⡤⣤⣴⣶⡶⠬⠛⠛⠉⠁⢀⣠⣤⣶⣿⣿⠿⠋⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣷⣶⣦⣄⣀⡀⠀⠀⠈⠉⠉⠉⠙⠓⠒⠒⠻⠶⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠓⠒⠒⠊⠉⠉⠉⠁⠀⠀⢀⣀⣠⣴⣶⣾⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⠿⠿⣿⣿⣿⣷⣶⣶⣶⣦⣤⣤⣤⣠⣄⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⡿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠖⣒⡩⠭⠭⠖⠒⠒⠒⠒⠒⠛⠓⠒⠒⠓⠶⠭⠭⢉⣒⠲⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠋⢀⡖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢲⡀⠙⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣽⠢⣄⡙⠦⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠔⢋⣠⠔⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠈⠉⠒⠒⠤⠭⠭⠭⠝⠓⠒⠒⠒⠒⠛⠫⠭⠭⠭⠔⠒⠚⠉⢁⣄⣠⣇⡠⠴⠒⠒⠢⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⢀⡠⠤⣄⠀⠈⢣ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⢀⡤⠖⠁⠀⠀⠈⢃⠀⢸ ⠀⠀⠀⠀⠀⢀⣀⠤⠼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠦⠤⣄⣀⠀⢠⠇⠀⣸ ⠀⢀⡤⢒⣫⠥⠒⠚⠉⠉⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠉⠉⠙⠒⢢⠽⠃⠀⣴⠃ ⣴⠋⡴⠉⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠚⠓⠒⠀⠐⠚⠁⢀⡠⢺⡍⢣ ⠘⢦⡙⣦⣀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢁⡠⠤⠤⣀⣀⣀⠤⠖⢉⡠⠚⣠⠏ ⠀⠀⠉⠛⠦⢍⣓⡒⠤⠤⢀⣀⣀⣙⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣶⢋⣀⣀⡀⡤⠤⢖⣖⣭⠥⠒⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⠒⠒⠂⠬⠭⠭⠭⠭⢭⣽⣏⣉⣈⣙⣿⡭⠭⠭⠭⠭⠥⠀⠒⠒⣻⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠓⠒⠒⠒⠒⠒⠒⠒⠒⠒⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⢠⣾⠟⠉⣁⣈⣉⠛⢿⣦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⠶⠾⠛⠛⠋⠉⠉⠉⠉⣉⡉⠛⠻⣷⣤⡀⢰⡿⡧⠒⢉⣀⣀⡈⠑⢄⠻⣷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠿⠛⠋⣁⡠⠤⠐⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⠽⢠⣾⠟⠋⠛⠻⣶⡀⢳⣹⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠿⠛⠉⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢻⣿⣠⡿⠁⠀⠀⠀⠀⢸⡇⠀⢻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠾⠛⢋⣡⠤⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠿⠋⠁⣸⣿⡟⠁⠀⠀⠀⠀⠀⣸⡇⠀⣸⡿ ⠀⠀⠀⠀⠀⠀⢀⣤⡶⠟⢋⣡⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⠿⠛⢁⢀⣠⣴⢟⣿⡇⠀⠀⠀⠀⢀⣴⡟⠀⣴⣿⠃ ⠀⠀⠀⢀⣴⠾⠛⣁⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣾⠿⠛⣉⠀⣠⠾⠟⠋⠉⠽⢚⣿⣇⠀⠀⢀⣰⡿⢋⣠⣾⠟⠁⠀ ⣀⣴⠞⢋⡤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣶⣿⡟⢛⣩⡷⠟⠛⠻⣿⣱⣯⡀⠀⣸⢿⡆⠈⣿⣿⢀⣴⢟⢉⣴⣿⠟⠁⠀⠀⠀ ⣿⣀⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣴⣶⠿⢿⣻⣋⢹⣷⣾⠀⢻⠋⠀⢠⣦⠀⠈⢿⣌⡛⠛⢋⣼⣇⣾⣿⣿⡿⣱⣿⡿⠋⠁⠀⠀⠀⠀⠀ ⢿⣟⠻⠿⠿⢶⣶⣶⣶⣶⠾⠿⠿⠛⠛⠛⠋⠉⠀⣤⡞⠋⢉⡙⢷⡀⣿⣄⠸⣤⡴⣿⡿⠀⠀⠀⠙⠿⠿⠟⠋⠤⠛⣹⣿⢧⢻⣿⠁⢀⣀⣀⠀⠀⠀⠀ ⠘⣿⡿⠶⣤⣄⣀⣠⣤⣤⣤⣭⣭⣭⣥⣄⣲⢤⡀⢸⡄⠀⡞⣿⡾⢡⡟⠙⠷⠷⠾⠋⠁⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⣿⣿⠸⣸⣿⡀⠸⣏⢻⣦⠀⠀⠀ ⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣯⠘⡇⠀⠻⠮⠶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣋⡥⣔⣿⣿⣦⡋⠻⣷⣶⡿⣰⣿⠀⠀⠀ ⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣅⣠⣿⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠩⣴⣿⣵⣿⡇⠙⠿⣶⣤⣴⡾⠟⠁⠀⠀⠀ ⠀⠀⠀⢹⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣌⣩⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠿⢛⣁⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣵⠞⠛⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣡⠴⣒⣭⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣚⡽⣞⡫⣴⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣶⣯⣷⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣼⣶⣿⠿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⡾⠿⠛⠋⠉⣉⣤⣾⠟⡼⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣷⣶⣤⣄⣤⣴⡶⠿⠟⠋⢉⠀⢀⣀⣤⡶⠿⠛⠉⠠⣊⡴⣪⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣿⣯⣔⣒⣦⣤⣤⣶⠾⠛⠋⠁⠀⠀⠀⠀⣚⡵⣪⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣻⣍⡉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⣀⣼⣷⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣯⣘⢻⠦⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠷⣶⣶⣶⣶⠾⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣶⣶⣶⣶⣾⣿⠿⠿⠿⠿⠿⣿⣿⣶⣶⣶⣶⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⠿⠟⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠻⠿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⠋⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣀⣀⠀⠀⠀⠙⣿⣿⡶⠶⢦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢼⣿⢿⣄⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⣠⡿⡏⢀⣀⡀⠈⠻⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⢸⣟⢷⣍⡛⠾⢯⣿⣛⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣻⣯⡽⠿⠛⣩⡾⡟⢩⠶⠻⣗⣄⠙⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡄⢌⣝⠳⠶⣤⣤⣉⣉⣙⠛⠛⠛⠛⠒⠒⠒⠒⠚⠛⠛⠛⠛⢋⣉⣉⣥⣤⡴⠶⣿⠉⣰⣇⢻⣆⣀⠈⡎⡆⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠉⠒⠲⠆⣨⣭⢉⠛⠛⠛⠛⠛⠒⠒⠒⠒⠚⠛⠛⠛⠛⠛⠉⠉⠁⠠⠬⠛⠉⠀⣿⠛⣷⠾⠋⢠⠁⡇⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠁⠀⠀⡰⠃⡜⣼⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢀⣠⠔⠊⠀⣠⡾⠃⠀⠀ ⠀⠀⠀⠀⣀⣤⣴⡾⠟⠛⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣉⣉⣀⠤⣴⣿⣅⡀⠀⠀⠀ ⠀⢀⣴⣿⠟⠋⢁⡤⠖⠈⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠉⠛⠶⣤⡈⠛⢿⣶⣄⠀ ⣰⣿⠟⠁⢀⣴⠋⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠘⢿⣧ ⣿⣿⡀⠀⠸⣴⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⢸⣿ ⠘⢿⣷⣄⠀⠈⠻⢦⣄⣀⠀⠀⠀⠀⠀⠈⠙⠳⠶⣤⣤⣤⣄⣀⣀⣀⣀⣤⣤⣤⡶⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠞⠋⢀⣴⣿⠟ ⠀⠀⠙⢿⣿⣦⣄⣀⠈⠉⠛⠻⠶⢶⣤⣤⣄⣀⣀⣀⣀⠈⠉⠉⠉⠉⠉⠉⠀⣀⣀⣀⣀⣀⣠⣤⣤⡴⠶⠞⠛⠋⢁⣀⣴⣾⣿⠟⠋⠀ ⠀⠀⠀⠀⠈⠙⠛⠿⢿⣷⣶⣤⣤⣀⣀⣀⡉⠉⠉⠉⠉⠛⠚⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⢉⣀⣀⣀⣤⣤⣶⣾⠿⠟⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠿⠿⠿⠿⢿⣿⣶⣶⣶⣶⣶⣶⣾⣿⣿⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⡿⠿⠿⢿⣿⣯⣥⣶⣷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠾⠛⠋⠁⠀⠀⠀⠀⠀⠘⣿⣿⠉⠀⠀⠀⠉⠛⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠛⢷⡀⠀⠀⠀⠀⠀⠈⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠻⣄⠀⠀⠀⠀⢦⡀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⢀⣤⣤⣤⣤⡀⠀⠀⠀⣠⠟⠁⠀⠀⠀⢠⣿⣦⣤⣀⠀⠈⠳⣄⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠋⠀⠀⠀⠀⠰⠛⠛⠛⠛⠛⠁⠀⢀⡼⠋⠀⠀⠀⠀⠀⠘⠛⣿⠛⠛⠷⠀⠀⠈⠳⢄⠈⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠱⢼⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣻⣦⠄⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀ ⠀⠀⠀⣸⡿⢳⡏⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⠿⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣦⣀⣀⡀⠀⠀⠀⠀⢿⡇⠀⠀⠀ ⠀⠀⢰⣿⠃⣼⠃⠀⣀⣤⣴⣾⣿⣿⣿⣿⠟⢷⡄⠉⢻⡇⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⢷⡌⠙⢿⣿⣿⠏⠀⠀⠀⠀⢸⣿⡄⠀⠀ ⠀⠀⣿⡇⢠⡟⠀⢀⣿⠻⣿⣿⣿⡟⠁⠀⢀⣤⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⢛⡃⠀⣿⠀⠀⢿⣿⡄⠀⠀⠀⠀⢸⡿⣷⡀⠀ ⠀⢸⣿⢀⡿⠁⣠⣾⠃⠀⠈⢻⣿⡀⠀⠀⠈⠉⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠉⠁⠙⣿⠀⠀⣾⠉⠻⣦⡀⠀⠀⢸⡇⢹⣷⠀ ⠀⣿⣧⡾⠁⣼⡿⠀⠀⠀⠀⢰⠋⠻⠶⣤⣤⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣄⣠⡾⠃⠀⠐⢿⡄⠀⠈⠳⣄⠀⢸⡇⠀⣿⣆ ⠰⣿⡟⠁⢰⣿⠁⠀⠀⠀⠀⣾⣠⣤⣤⡀⠀⠀⢀⣠⣶⠾⠛⠛⠛⠿⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠹⣆⢸⡇⠀⢻⡇ ⣼⡿⠀⠀⢸⡿⢶⣦⣄⣴⡾⠛⠁⠀⠈⠻⣦⣤⡞⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⢻⡄⣿⠀⢸⡇ ⣿⠁⠀⠀⠸⣷⡀⠙⣿⠃⠀⠀⠀⠀⠀⠀⣹⣷⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⠙⣷⡄⠀⠀⠀⠀⠀⠀⣾⠿⣆⠀⠀⢸⡇⢻⡆⢸⡇ ⠏⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠒⢦⣤⣤⣼⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠘⣷⠀⠀⠀⠀⣠⡾⠋⠀⠙⣦⡀⣼⠁⠘⣷⣿⠇ ⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⢿⣄⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢠⣿⡶⠶⠞⠛⠉⠀⠀⠀⠀⢸⣷⠏⠀⠀⠹⣿⡆ ⠀⠀⠀⠀⠀⠀⢀⣾⠿⣦⣀⡀⠀⠀⣻⣷⣦⠀⠀⠀⠀⠒⠶⣤⣄⡀⠀⠀⠀⠀⣠⣾⡿⠿⢦⣤⡀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⢿⡇ ⠀⠀⠀⠀⠀⣰⡿⠏⠀⠀⠉⠙⠛⠛⠋⠈⣿⣇⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⢀⣴⡿⠋⠄⠀⠀⠈⢻⣆⣠⡶⠟⠉⠀⠀⠀⠀⠀⠀⡼⣿ ⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠻⣷⣤⣀⡀⠀⠀⠀⠀⠈⣠⣾⠏⠀⠀⠀⠀⠀⢠⣾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠉⠛⠻⠿⣶⣶⡶⠟⠋⠁⠀⠀⢀⣠⣶⣶⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢸⣷⠚⠛⠛⠓⠒⠲⠖⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢛⣧⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⢸⣷⠀⢀⠀⣀⡀⠀⠀⠀⡛⢶⠦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⠶⠶⠛⠉⠀⠀⠀⠹⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⡶⠶⠶⠾⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⣉⣛⣛⣛⣻⣶⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢶⣻⠿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠓⠾⢭⣛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⣀⡀⠀⠀⣿⡙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣶⣿⡯⣿⣟⣯⣟⣶⣿⡛⢶⣤⣀⣀⢀⣀⣀⣤⣤⡤⣴⠶⠒⠶⢶⣖⣖⣲⣲⣲⡖⠖⠲⠶⠤⠤⣤⣀⣀⣠⣤⣴⠾⠛⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣿⠁⠀⠀⠈⠛⢮⣿⣿⣇⣤⠷⠎⣩⠟⠛⠻⢿⣿⣧⣤⣤⡬⢭⣭⣝⣿⣿⣿⣿⣿⡿⣿⣶⣶⣶⢾⣿⣿⣍⠙⠻⣷⣄⠈⡗⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣿⣆⠀⠀⠀⠀⠀⢿⣿⣿⣧⡀⠈⢳⣄⣳⠦⡀⠀⠀⠀⠀⣉⡭⠟⠋⠉⠉⠉⠩⠿⡋⢳⣾⣷⠟⠉⠀⠀⠈⠉⡲⢷⠈⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡿⣿⣧⡀⠀⠀⠀⠀⢿⢿⣿⡿⣶⣄⡈⠉⠛⠛⠒⠶⢶⠾⠥⠤⠶⢴⣾⣷⣶⣦⣤⣽⣿⣤⣨⣧⣤⣤⣴⣶⡟⠁⣸⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣜⣿⣵⣦⡀⠀⠀⠸⡶⣇⠉⠛⠛⣿⡿⢷⣶⣶⣶⣿⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣿⣿⣟⣻⣿⣯⡥⣴⣶⢺⣿⣀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢮⡻⣷⣽⣦⣄⠀⢿⢻⣧⠀⢢⠀⠀⠀⠉⣸⡟⠛⠛⠛⣩⠟⠛⠋⠩⠽⠛⠋⠉⠉⠉⣹⠏⠉⠀⣤⠼⠛⠛⢻⡟⠉⠈⠙⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢮⣙⢿⣶⣽⣿⣟⢯⠀⠀⠀⠀⠀⢠⠏⠀⢠⡶⠋⠁⠀⠀⠀⢀⣀⣤⠤⠀⣠⣶⠟⠀⠀⠀⢧⠀⠀⠀⠈⠁⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠓⠦⣌⣉⣻⣟⣆⠀⠀⢂⠀⣾⣤⣶⣿⣿⣦⣀⣠⡖⠋⠉⠀⠀⠀⢰⡿⡽⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⢧⠀⠀⢹⡷⣴⣿⣿⣿⣽⢿⣿⣿⣷⣦⣄⣀⡀⢻⣥⡇⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⠶⣿⣿⣿⣯⡳⣄⠸⣷⢀⣼⣯⠿⢿⣿⣿⣿⣿⡟⣼⣍⠙⣿⢻⠀⠀⢀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⣀⣴⡾⠟⠛⠉⠻⣦⣤⠈⢿⣿⣿⣿⣮⣳⣟⠛⠯⣴⣤⣈⣙⡚⣛⠙⣿⣿⢿⢸⡿⡾⠀⣠⣾⣿⣿⣟⡲⠤⡤⠴⡶⠶⠒⣲⣾⠟⠷⣤⣀⠀⠀ ⠀⣴⣿⣍⠀⠀⠀⠀⠀⠈⠻⢷⣤⣽⣿⢿⣟⣿⣿⣧⣄⠀⠉⠉⠉⠙⣿⠿⣋⣹⣄⣸⣧⣶⣾⣿⣿⣿⡿⣤⣜⠋⠓⠦⠀⠠⠞⠟⠁⢀⣠⣾⣿⢷⡀ ⠀⢷⡈⠻⢷⣤⣀⡀⠀⠀⣠⢖⣿⣷⣿⣿⣿⣿⣧⣙⠿⢿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡏⠉⠙⣿⣿⣷⣦⣠⣀⣀⣤⣶⣿⣿⡿⠋⣰⠃ ⠀⠀⠙⠢⣄⣉⠛⠻⠷⢤⣴⣿⣿⣿⣿⡿⣿⠻⢿⣯⣿⣷⣦⣬⣉⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠼⣿⣿⣶⣼⣿⣿⣻⣽⣿⣿⠟⡛⢋⣀⠴⠚⠁⠀ ⠀⠀⠀⠀⠀⠉⠓⠲⠤⣤⣤⣉⣉⣉⠛⠛⠛⠓⠚⠿⠿⠿⠿⠿⠿⠿⠿⠿⡿⣿⠿⠿⠿⠿⠿⠿⣚⠛⢻⡟⡿⡛⣛⣛⣙⣤⡤⠶⠞⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⢷⣶⣶⡶⣶⣶⣴⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣿⡷⠿⠟⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣤⠤⠤⠤⠤⠤⠤⣤⣤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠻⠿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣀⣀⡀⢸⣏⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣿⡄⠀⠀⠀⠀⠀⠀ ⢀⣾⡿⠛⠻⢿⣿⣿⡏⠹⣖⠤⣤⣶⣶⣶⡒⠛⣩⣽⠿⣽⣿⣯⣯⣭⣍⣁⣒⣲⣶⡴⢶⣾⡋⠹⡇⠀⠀⠀⠀⠀⠀ ⢸⣼⡆⠀⠀⠀⠙⣿⣿⣏⠁⢪⣁⢤⡈⠉⠉⠙⠛⣛⠿⠛⠛⠛⠛⠟⢿⣿⡽⠛⠉⠙⠲⣼⡍⢲⡇⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⣦⠀⠀⠀⠹⡿⣿⣷⣦⣉⡉⠛⠒⠲⡶⠫⠤⠦⠶⠶⠶⠤⠼⣿⣬⣷⣤⣤⣶⠞⣁⡷⣾⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢻⣿⣿⣦⡀⠀⢳⣷⡈⠉⠛⠟⠻⢿⣿⣷⠶⠶⣶⣶⠶⢶⣿⠿⠿⢿⡿⠿⠒⢲⣿⣽⣧⡏⠀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢿⡻⣿⣶⣼⣿⡇⠈⠀⠀⠀⡜⠁⣀⠔⠊⠁⠀⠀⢁⣀⠀⢠⣴⠃⠀⢸⠉⠀⠀⠛⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠒⠭⣉⣻⣷⡀⠀⠂⢰⣧⣴⣿⣦⣤⣴⠚⠉⠀⠀⢰⣿⡇⠀⠀⢠⡇⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣽⣷⣄⠀⣿⠾⢿⣿⣿⣿⣿⣿⣷⣦⠤⣼⣿⠀⠀⢠⣾⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⣠⣴⠶⠻⢿⣉⠹⣿⣿⣯⣳⣼⠷⣟⣏⡙⠿⠿⡛⣿⣿⡂⣿⣽⠀⣰⣿⣿⢧⣀⣀⣀⣤⡤⣤⣷⣤⡀⠀⠀ ⠀⢠⣿⣋⠀⠀⠀⠀⠙⢷⣬⣿⣿⣿⣿⣧⣀⡉⠙⠛⠻⠿⢟⣯⣀⣧⣴⣾⣿⣿⣯⣍⣛⠁⠀⠀⠺⠋⢀⣠⣿⡷⡄ ⠀⠘⢄⠙⠷⣦⣄⡀⠰⣾⣿⣿⣿⣿⣿⣮⣟⡻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣇⣉⢹⣿⣿⣦⣤⣤⣾⣿⠿⢋⡴⠃ ⠀⠀⠀⠉⠒⠤⣍⣉⣛⠛⠻⠿⠿⠿⠭⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⠯⠿⣿⣿⡿⠿⠟⣛⣋⣹⠴⠒⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠷⠶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣥⣤⣤⣤⣤⣤⣴⡿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣟⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⣹⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣠⣤⣤⠶⠶⠶⢶⣶⢶⠶⠤⣤⣄⣾⣁⡀⡿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣦⣭⣭⣻⣳⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣭⣟⠲⢤⣀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣷⡇⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⢹⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣽⡷⢦⡀⠀⠀ ⠸⣾⣿⣿⣹⠛⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⣸⢻⣦⡉⣹⠁⠉⠉⠛⠿⣿⣿⣿⣿⣿⣷⣝⣧⡀ ⠀⠈⠻⣿⡟⠀⠁⠉⠛⠳⠶⠤⢤⣤⠤⠶⠿⠛⣛⠛⠛⠀⠀⠀⢠⣀⡀⠈⠙⠻⢿⣿⣿⣷⣿ ⠀⠀⢠⣿⡇⠀⠂⠀⠀⢀⡀⠀⠤⠄⠀⠀⠻⣿⣿⠀⠀⠀⠀⠀⠂⢤⣙⠳⣄⡀⣸⢫⣿⣿⣿ ⠀⠀⢸⣿⢀⡖⠀⣾⡟⠻⣷⣀⣠⣤⣤⣤⣄⣘⠇⠀⣠⣶⣦⠀⠀⠀⠈⠳⡌⢙⡏⣼⣿⣿⡟ ⠀⠀⣼⡇⢸⣧⣤⣿⣧⡀⠹⠏⠁⠀⠀⠀⠀⠉⠻⣶⡟⢠⣿⠀⠀⠀⠀⢀⡇⣸⣿⡿⠟⠋⠀ ⠀⠀⣿⡇⠀⢿⣏⠉⢻⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣿⣇⣤⣄⠀⠀⣼⢰⣯⡇⠀⠀⠀⠀ ⠀⢸⣿⠀⢠⣈⣻⣿⣶⣤⠀⣀⣀⡀⠀⠀⠀⠀⢀⣀⢸⡟⣉⣴⡟⠀⠀⢁⣿⡾⠀⠀⠀⠀⠀ ⠀⢸⣿⠀⠈⣿⡟⠙⠛⠛⡘⠋⠉⠻⠂⢀⣀⠴⠟⠙⢛⣿⣿⡋⠀⠀⠀⣾⣽⠃⠀⠀⠀⠀⠀ ⠀⣾⣿⢸⠀⠘⠻⠷⡶⠿⢿⣷⣦⣤⣀⣈⡁⠀⣀⣶⣿⣉⣉⣿⡆⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⠸⠀⠀⢀⣀⣄⠀⣰⠏⣮⡹⣯⣿⣿⣿⠉⠈⠋⠛⠋⠉⠀⢠⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡇⠀⠀⠀⣿⣾⣿⡀⣿⠀⢸⣿⣿⣿⣿⢷⣄⠀⠀⠀⠀⠀⢀⡿⣼⠁⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⡇⠀⣠⣤⣽⣿⣿⣿⣿⣷⣧⣿⡛⠛⠳⣤⣟⣀⡀⠀⠀⠀⡼⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⢸⣧⣾⣿⣿⠿⠿⢻⣿⢿⣯⠛⠶⠦⣼⣏⣽⣿⡇⠀⣰⣣⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⠘⢿⣿⣽⣿⣶⣭⠉⣿⣆⡙⠷⣄⠀⠘⢿⣿⣿⠃⢠⣏⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⠀⠈⢿⣿⣿⢟⣿⣀⠸⣿⣿⣦⣠⡦⣴⣄⣸⠏⢠⣞⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢷⣿⣤⡀⠀⠀⢰⣿⣤⣿⣷⠙⢿⣿⣿⣶⣿⣿⠁⠀⣾⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠻⢽⣳⣤⣀⣻⣿⠿⠋⠀⠀⠀⠙⠛⠟⠃⢀⣼⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⠻⢽⣷⣖⣒⣦⣤⡤⠤⠖⢒⣋⣽⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡙⣌⠣⣍⠢⡱⢘⢆⠱⢊⡔⠣⡜⢢⠱⢌⠲⡡⢚⠤⢓⡸⢄⢣⡘⠤⢣⡘⠔⣂⠆⣻⣽⣫⠿⣝⣟⢿⡽⢯⣻⡽⣫⢿⠟⠛⢉⣩⢻⣿⣿⠟⣿⢛⣿⣯⢟⡽⣫⢟⣭⡻⣭⢻⣭⣻⣭⣻⣭⣻⣝⣯⣟⣽⣹⣯⣝⡯⣝⢯⣏⢿⡹⣏⢿⡹⣏⢿⣹⢏⣿⡍⢉⡉⢞⣿⢿⣠⠃⢞⣿⣟⣿⣻⣟⣿⣻⢿⣟⡿⣟⣿⢿⣿⣻⡿⣿⣟⡿⣿⣟⡿⣟⣿⢿⣿⣻⢿⣻⣿⣻⡿⣿⢿ ⡱⢌⠲⡄⠣⡔⢣⠌⡜⠤⣌⠱⡌⠦⠱⢌⠦⡡⠣⡜⠤⠒⡌⠆⡜⠤⡃⡔⠣⢌⠂⣟⡶⢯⣻⡽⢮⢿⡼⢯⡗⣯⡽⣿⡇⢈⠸⣄⢫⣿⡏⠸⣿⣟⣾⢧⢯⣝⣧⣿⣶⠿⢟⣻⣛⡿⣶⠷⣷⣛⣟⣻⣛⢿⡻⢿⢿⣿⣻⣟⣾⠷⣯⣽⣫⢟⣭⣛⣮⢻⡼⣿⠀⢆⡘⣿⣿⢠⢋⣼⣿⣞⣳⢷⣻⢾⣽⣻⣾⡽⣿⢾⣟⣾⢷⣿⣳⣯⢿⡷⣯⣿⣽⡾⣟⣾⡽⣯⣷⢯⡷⣿⡽⣿ ⡱⢌⠢⡅⢣⠘⡤⢊⠴⣁⠆⡱⠌⢆⠣⢌⠢⣅⢣⠘⣌⠱⡈⠖⣈⠆⡱⡈⡕⡈⠆⣿⣹⢏⡷⣝⣯⠾⣝⡷⣻⢵⡻⣼⣿⠀⢸⡤⢋⣿⠅⢲⣿⣿⢿⣿⡿⢟⣩⣥⡶⣿⡻⣝⡧⢿⡭⣟⢮⢷⣺⢵⣛⣮⢽⢯⡞⡶⣝⣻⢻⢿⣷⣯⣽⣻⢾⣵⣫⢷⡹⣽⡆⢬⠐⣹⣏⣆⡧⣾⣿⠾⣽⢯⣟⡿⣞⡷⣯⡿⣽⣻⣾⡽⣟⣾⢷⣯⢿⣽⢷⣻⢾⡽⣟⣾⡽⣷⢯⡿⣽⢷⣻⢷ ⣑⢪⠑⡌⠢⢍⠴⣉⠲⠄⢎⡱⢊⠦⡉⢆⢣⠰⣁⠎⡔⢣⢘⠡⠆⠎⡔⢡⠢⡉⠔⡿⡼⢯⡽⣞⡼⣫⢷⣹⣭⢷⣛⢶⣻⡆⠄⡷⣉⢿⣎⣿⣷⡿⢛⣥⣾⢻⡽⣣⣟⢶⡻⣝⢾⡳⣽⢺⣏⡾⣣⡟⡾⣜⡟⣮⢟⣽⢳⣭⢟⡾⣼⡹⢿⣾⣽⣺⣝⣷⣟⡼⣷⢀⢣⠐⢿⣮⣵⣻⣽⣻⢧⣟⡾⣽⢯⣟⡷⣿⢯⣷⢯⣿⢯⣟⡿⣾⣻⢾⣻⣯⢿⣻⣽⣳⣿⡽⣯⣟⣯⢿⣯⢿ ⡜⢤⠙⡌⡑⢪⢐⢢⠑⡎⢢⡑⠎⠴⣉⠆⣃⠎⡔⡩⡐⢣⠘⡄⢋⠴⣈⠣⡑⢌⠂⣿⡝⣯⣳⡝⡾⣭⢷⡳⢮⣳⠽⣮⡝⣿⡐⢼⡖⣯⢿⡟⣋⣶⢟⣳⢞⣯⢳⣝⢮⢷⣛⣞⣳⡻⣼⢳⠾⡵⢯⡽⣳⢻⡼⣛⢾⣚⢯⡞⡽⣞⣳⡽⣏⡾⣹⢷⣾⣹⢮⢿⣿⣆⡇⡹⣘⢯⣵⣫⣽⡷⣻⢮⢿⣹⣟⣾⣻⣽⣻⡾⣿⡽⣟⣾⣟⡷⣟⣿⣳⣯⢿⣳⣯⡷⣯⣟⣷⣻⢾⣟⡾⣿ ⡜⢢⠍⡆⡑⢃⢎⡰⢩⡐⠣⠜⣘⠢⣡⠚⣄⠪⠔⡱⣈⠱⢊⠔⣉⠒⡄⢣⠘⡄⢃⡿⡼⣧⢻⣼⡻⣜⡳⣽⢳⣏⡟⣶⣹⡿⣷⡻⣜⡷⢋⣴⡟⣵⣫⠽⣎⢷⣛⢮⣛⣮⢗⡯⢶⡻⣭⢻⢯⡽⣳⢻⡭⣟⡼⣏⢷⣫⣗⡻⣽⡹⢶⣫⣗⣻⡵⣫⡽⢷⣯⡞⣽⣻⡴⡱⣜⣻⣿⡽⣻⢟⡿⣾⣯⢷⣻⣞⡷⣯⢷⣿⣳⢿⣯⢷⣯⢿⣻⢾⣽⢾⣻⡽⣾⣽⣳⣟⡾⣽⣻⢾⣽⣳ ⢎⡱⢊⡴⡉⡌⢆⠲⢡⠜⣡⠋⡤⠓⡤⢃⠤⢋⡌⡱⢀⠳⣈⠒⡌⢢⢁⠣⡑⢌⠢⣝⢷⣝⣻⣧⢟⣭⠷⣭⢳⢮⣽⡾⠋⣰⣯⣳⠟⣡⣿⢣⣟⡼⣣⣿⢭⡷⣫⢯⣝⡮⢯⣝⣯⢳⣏⡟⣧⣻⡭⣷⢫⠷⣹⡞⣯⡖⣯⣝⣧⢿⣹⢳⣎⣧⡝⣳⣯⣏⢷⣿⣱⢿⣷⡹⣎⢿⣯⣟⣽⢻⢾⡱⣟⢯⡷⣯⢿⣽⣻⣞⣯⢿⣞⡿⣽⢯⣿⣻⣞⣯⢷⣟⣷⣯⠷⢿⡛⢷⣛⣛⣛⢟ ⣧⠘⡥⡒⢥⡘⢌⠸⣁⠎⢤⢃⠲⣉⠴⡉⢬⠡⢆⡡⢋⠴⢠⠉⠴⡁⢎⠱⣈⠆⡡⢞⣯⢞⣵⣻⣾⣚⢛⡚⣛⣿⠏⢠⣾⣿⣷⠏⣰⡟⣰⢿⡼⣳⢽⣇⣿⠱⣏⡿⣼⣹⢏⡾⣜⡿⣜⣻⣜⢧⡻⡼⣏⡷⣅⠻⣵⢻⡵⢾⡼⣣⢯⡗⣾⡘⢿⣶⡘⢿⣮⠽⣯⣛⡾⣷⢭⣻⣷⢯⣟⡿⣾⣹⢭⣳⡽⢿⣻⣞⡷⣯⣟⣯⡿⣽⢯⣟⣾⣳⣟⡾⣛⠯⣕⢮⡹⢶⡹⣖⣣⡝⣮⢫ ⣏⢿⡰⡙⢦⡘⣌⡒⢰⠊⡤⢃⡱⣈⢆⡩⢂⡕⢢⡑⡌⢒⢡⠚⠤⡑⡌⡒⠴⡈⢅⢻⣼⢫⣶⢫⡽⢿⣭⣳⡟⠡⢰⣟⣷⣻⠋⣴⡟⣰⠟⣧⡻⣵⣻⠳⣯⢓⡯⣞⢣⣟⢾⣹⢧⣛⡾⡵⣞⢯⣳⡙⠿⣜⢫⢷⡘⢯⡽⣳⢯⡽⢦⣩⣑⢿⣨⢳⣿⡡⢿⣻⡜⣿⡽⣿⣎⠷⣿⣻⡿⣽⣷⡽⣺⢵⣻⣧⢻⣽⣻⢷⣻⡾⣽⢯⣟⣾⡷⣟⣳⢧⣝⡺⣍⡞⣭⢳⣇⡏⣶⡹⣎⠷ ⣯⣏⣷⡹⣔⠸⡰⡘⢆⡱⢐⠣⠔⣢⠘⢤⠃⡜⠢⡔⠩⢌⢢⠑⡸⠐⡔⢡⢃⠜⡠⢻⣞⣳⢮⡗⣯⢏⣿⠏⡐⢡⣿⡾⣽⠃⣼⣟⣰⢿⡼⣣⢿⣵⣿⠐⣿⡌⡷⣇⠚⣮⡙⡾⣭⣳⠽⣽⣯⠷⣭⣟⡶⣭⡟⣮⢟⡾⣹⡽⣳⡝⣯⣳⢯⡾⣝⡷⣞⣻⣛⣶⡻⣝⣿⣽⡿⣿⣼⣿⡿⣯⣟⣿⣝⢮⢳⢿⣧⢺⡻⣯⣷⢿⣽⣻⡾⣯⡹⢎⡳⢞⣬⢳⡬⣝⢶⣩⠶⣹⢆⡷⣹⢞ ⡷⢾⣱⡟⣼⣳⣥⡙⢦⡘⡌⡑⠎⠤⣉⠦⠩⠔⡣⢌⠱⢊⠤⢩⠐⠣⡜⢄⠪⠰⣁⢺⡽⣎⣷⣹⢎⣿⠏⡈⢰⣿⣳⢿⠏⣰⣟⢮⡝⣧⣛⢧⣿⣯⣿⠌⢳⣯⠷⣽⢫⣗⢯⡽⢧⣏⣿⣻⣿⡿⣗⣮⡽⢶⣫⠷⣏⡾⢧⢿⣹⢿⡼⡽⣏⣿⣳⢯⣻⣵⢻⣞⣽⡳⣟⣿⣽⣟⣿⣿⣿⣽⣻⢿⣞⡿⡜⡯⣿⡟⣯⣟⡿⣿⣾⣯⢗⡧⢻⠭⣝⠞⣴⢣⡗⡞⢮⡜⡳⡝⡮⣵⢫⢞ ⣟⣯⢳⣏⡷⣣⡗⣿⢦⡱⢌⡱⢊⡑⢢⠘⣑⠊⡕⡨⢒⡉⠦⡑⢊⡱⢐⠊⣌⠱⢠⠚⣯⢷⣺⡝⣾⠏⡐⢠⣿⢧⣿⣏⠠⣟⡾⣭⢻⡵⡟⣾⣿⣽⣿⣇⡙⡿⣟⢾⣹⢮⡟⣞⢯⣞⣿⣿⡜⣿⣿⣷⣽⣳⡭⣟⢾⡹⣏⡾⣽⣫⣷⡹⡿⣼⣯⢷⣳⡞⣿⢺⡗⣿⣽⣿⣿⡾⣟⣾⣿⣷⣻⢿⣿⡞⣯⢱⣿⣿⡹⣿⣽⢿⡹⣚⣬⠻⣭⠻⣜⢫⠞⡵⣚⡭⢧⣹⢳⣙⢧⡳⢫⡞ ⡿⣼⡳⣏⣞⢷⡹⣧⢻⡽⣦⡑⢣⠜⣡⠚⢄⢋⡔⢡⠆⡱⢂⡱⢃⠔⣃⠱⡈⢆⠣⠌⢿⣽⡲⣏⣟⠰⠀⣾⣛⣾⣵⠇⣸⣯⢗⣯⢳⣽⣹⣿⣯⣿⣿⣧⠒⣻⣻⡞⣵⣫⢞⡽⣺⡽⣯⣿⢎⡵⢻⣿⣾⢷⡽⣞⣭⢷⡻⣼⢳⣽⣻⣇⢿⣣⣿⢯⡷⣻⡽⢯⣟⣷⣻⣯⣿⣿⣟⣯⣿⣿⣽⣻⣷⣿⣸⠹⣞⣿⣷⢻⡝⡶⣩⠗⣎⢟⡲⢯⠼⣟⢿⡷⣷⣮⣳⣣⢧⢫⢶⡹⢧⣛ ⡿⣵⣛⡧⣏⣯⢽⣳⢯⣳⢽⡻⢧⣞⢠⡙⣌⢢⡘⢢⡘⡰⢁⠦⣁⠎⡄⢣⠘⡄⢣⠜⠺⣗⣯⣽⡇⢄⢳⣿⣯⣾⣿⠀⣿⡼⣫⣞⣭⢷⣿⣯⣿⣿⡏⣷⣻⡘⣷⣻⡵⣫⢟⣼⢳⣽⡿⣏⢾⠘⢧⣙⢿⣿⣿⣿⣞⣧⡟⣵⣻⣼⢻⣿⣌⢷⣺⣯⣟⣷⣻⣛⡾⣵⢯⣿⣿⣿⣟⣿⣿⣿⡷⣯⣷⣿⢞⣻⡜⣿⣿⣏⣿⡱⢧⡻⣜⣫⣜⢫⣓⣾⣼⣾⡷⢿⠿⣟⢧⣛⢮⡝⣧⢫ ⡿⣼⢧⡟⡽⣎⣟⢮⣻⢵⣫⡽⣳⢯⡧⣜⡠⠣⢌⡡⢆⠱⣈⠖⡠⠎⡰⢡⠩⡐⡡⢊⠕⣻⣾⣹⠰⣜⣽⡻⢾⣳⡏⢰⡯⣗⢧⣛⣮⣻⡿⣾⣿⡟⡜⣽⡷⣇⢽⣳⣻⣝⡮⣏⢿⣼⢿⡇⡿⠘⣈⠳⣎⡝⡷⣿⣿⣾⣽⣳⣭⢷⣻⣿⣿⠸⣧⣟⡾⣞⣳⢯⣻⡽⣯⣿⣿⣿⣿⣿⣽⣿⣟⣷⣻⣾⣯⡳⣝⣻⢽⣿⡜⣯⢳⣕⣣⢳⡾⣟⡻⢭⣓⢮⣓⠯⣝⢮⣣⢏⡮⣝⢮⡳ ⡿⣼⢣⡟⣽⡹⣎⣯⠽⣞⢧⡻⣵⢫⣾⣹⢳⣫⡐⠥⢊⡒⡰⣈⠱⣈⡑⢢⣡⡑⣄⢣⣘⣤⣳⣿⢊⠖⣾⡽⢯⣿⡇⢸⣳⢽⡺⣽⢥⣿⣿⣿⡿⣘⡼⢘⣿⣿⡆⢿⣹⠷⣽⢺⡽⣾⢿⣏⡇⠱⡀⠎⡙⢮⡱⣍⠿⣷⣿⣷⣽⣫⣟⣿⣿⡇⢿⣿⡽⢯⡽⣯⢷⣻⣿⣿⣿⣯⣟⣿⣿⣿⡿⣞⡷⣟⣷⣏⠷⣽⣎⢿⣟⣻⡧⣞⢦⣛⡼⢥⣻⡱⣫⢮⡝⣾⢩⡞⣥⢻⡜⣭⢞⡵ ⣟⣼⣫⣽⣮⣷⣽⣾⢿⣾⢿⡷⣿⠿⣿⠿⣛⢛⡛⣛⠩⣙⢩⡉⢭⢡⠙⣉⠆⣙⡈⢓⡘⠒⣘⡧⡘⣜⣹⢾⣻⣾⡇⢸⡟⣾⣱⡟⣾⣿⣞⣿⡡⣽⠃⠌⣽⣿⣿⡜⣯⡟⣮⢻⣼⣻⢿⣷⡊⠱⣀⠃⣬⣰⣽⣮⣾⣽⣳⣿⣿⣷⣿⢿⣿⣿⡸⣿⣟⣯⡽⣞⣯⣿⣿⣿⣿⣯⣿⣞⣿⣿⣿⣽⣛⣯⢿⣞⡻⣜⡯⢞⣿⢧⢷⣚⡖⢧⣚⣗⡲⣭⣓⡞⡼⣎⢷⡹⣎⢷⡹⢮⡝⣞ ⣿⡟⣿⢽⣫⡽⣞⣧⡟⣮⢯⡽⣮⠟⡥⢒⡡⠎⡔⢢⢑⢢⠢⡘⠤⡂⡕⠢⠜⡠⠜⢠⠊⡅⢸⡧⣑⠮⣼⣻⢼⡇⢯⢼⣻⢼⣹⣳⣿⣟⣾⢇⣳⣧⣼⣶⠬⣻⣷⣻⡼⣿⣵⢏⡶⣿⢿⣿⠆⡱⢀⠎⡙⡉⢌⡉⡉⢯⣛⠿⣻⢷⣿⣿⣿⣿⣇⢿⣿⣾⣝⣿⣿⣿⣿⣿⣿⣷⣻⣿⣾⢿⣿⡾⣽⣻⣟⡾⣝⢮⡟⣜⡺⣟⡾⣧⢻⡱⢞⢦⡝⣖⠧⣏⠷⣎⢷⡹⣎⢷⡹⢧⡻⣜ ⣷⣻⣭⢟⡷⣻⢽⡞⣽⢣⡿⢪⢑⠊⡔⠣⡘⠰⣁⠃⠎⣄⠣⡑⠊⠥⣈⠱⡘⠤⣉⢂⠒⠌⣼⡓⢬⡓⣯⢷⡿⢠⣿⣿⡱⣏⡿⣼⣿⣻⣿⣟⠋⡍⢄⠂⢆⠡⣿⣖⢻⣟⣿⣿⣞⡿⣯⣿⢢⠑⢂⠒⢌⡐⢢⠐⡡⢂⠌⠳⢧⣚⠽⣿⣿⣿⣿⣸⣿⣿⣾⣿⣿⣻⣽⣾⣿⣯⢿⡟⢿⣷⡻⣿⣳⢿⡼⣟⡞⣧⡟⣬⣓⢿⣧⢻⣇⡟⢮⣳⢹⠮⣝⢮⡻⣜⢧⡻⣜⢧⣛⢧⣻⠼ ⣷⢳⡮⣟⠾⣭⢷⣹⠾⣋⠔⡣⢌⠓⡌⠱⡈⠕⡄⢋⡔⣠⠃⡌⢃⡒⠄⡃⠜⡐⠄⡒⢨⣴⣿⢘⣸⡱⣯⣿⢁⣾⣿⣷⡻⡼⣷⣿⣿⣿⢥⢋⠰⣀⠊⠌⢂⢂⠙⣿⡎⠹⣿⣿⣾⢿⡽⣿⣇⠎⡠⠃⣄⣶⢄⠣⡐⡅⣊⠑⠢⢌⡑⢮⡹⣿⣿⣇⣿⣿⣟⣷⣿⢿⣿⣿⣿⣯⢿⡿⣌⠻⣿⣮⢻⣿⣳⡟⣼⢣⣿⡱⣎⠽⣧⡏⣷⡹⢇⡻⢎⡟⣼⢣⡟⣼⢣⡟⣼⢣⡟⣾⣱⢻ ⣯⣳⠽⣞⡻⣵⡿⢉⠦⡑⡘⡄⢣⠘⡐⠣⡑⢊⠔⡡⠒⡄⢊⠔⡡⠘⠤⡑⠌⡰⢈⣰⣿⢸⣿⠰⣸⣗⣳⠇⣼⣿⣿⣇⣿⣳⢿⣻⣷⣏⡎⠬⡐⢢⠘⡌⢶⣶⡌⡈⢿⡔⠈⢷⣿⣻⣽⡿⣿⡀⢡⠸⢏⠒⣌⣦⣿⣷⣶⣿⣿⣶⣶⣾⣫⣐⢯⣿⢽⣿⣻⣿⣾⣿⣿⣿⣿⣯⢿⣧⠸⢳⣸⣿⡷⣽⣷⣏⢷⣋⣷⢳⣍⠾⣹⡗⣿⡹⣭⢝⣫⣞⡵⣫⢞⡵⣫⢞⡵⣫⢞⡵⣫⢗ ⣷⢫⡟⡵⢛⢡⠒⡍⠢⠥⢱⠈⡥⢊⠅⢣⠌⡡⠎⢡⢃⠸⡀⢎⠰⢉⠰⣀⠣⢐⣴⡟⣾⣹⣾⠱⣸⢷⡏⣼⣿⣿⣻⣿⡸⣧⡟⣷⣿⣼⣶⣷⣾⣶⣿⣶⢦⡌⢛⡐⢄⠡⡉⠤⡘⠿⣷⡿⣿⡟⠠⢘⣶⣿⣿⣿⣿⣿⣿⣿⣟⢻⢻⠿⣿⣿⣿⣾⣿⣿⣟⣷⣿⣯⣿⣾⣿⣯⢿⣯⢂⡽⣸⣿⡽⣻⡽⣿⣞⣥⡿⣣⣎⠷⣩⣿⢼⡷⣹⢎⡳⣞⣷⣿⣎⣷⡹⣎⢷⡹⣎⢷⡹⢮ ⣯⢳⡙⡔⣉⠦⣉⠔⢣⡑⡡⢃⠴⣁⠚⡄⢎⠡⢊⡔⡈⢆⡑⢨⠐⡡⠒⡀⣲⡯⣟⡼⣳⡟⣿⠰⣹⡟⣴⣿⢻⣷⣻⣿⣧⢳⣿⣿⣷⣿⣿⣿⢿⢿⣿⣿⣿⣿⣷⣤⡈⠤⠑⡠⢁⠒⣈⠙⠿⣿⣡⠿⠿⣛⣿⣿⢿⣷⣿⣿⣷⣯⢎⡱⣑⢺⣿⣻⣿⣿⢾⣿⡷⣿⣿⡿⣿⣞⣿⢍⠦⣇⣿⣷⣻⢽⣳⢧⡻⣼⣿⡗⣞⡯⣕⣻⡞⣷⡹⢞⡵⣳⢮⡽⣹⢟⡿⣿⢿⡿⣿⢿⠿⣿ ⣋⠦⡑⡜⡄⠲⣈⠚⡄⠦⡑⢊⡔⢠⢃⠜⡠⢃⠥⡐⠬⡐⡈⢆⠡⡐⣡⣾⢏⡷⣝⢾⡱⣯⢿⡆⣽⢿⣹⣞⣻⣯⡷⣿⣻⡎⣿⣿⣿⡏⡜⡰⢍⣾⣿⣿⣿⢿⣷⡗⡠⠊⡔⢡⠈⡔⣀⠃⠔⡈⡅⠢⠄⣿⣿⣿⣼⣿⣻⣿⠿⣿⠂⠔⢀⣽⢫⣯⣿⣿⣯⢿⣿⣿⣟⣿⣿⡽⣿⢪⢽⣾⡿⣞⣳⣻⢧⣏⢷⣹⡷⣿⣿⣜⢧⣻⣯⣷⡹⣝⡺⡵⣋⡶⣏⢾⣱⢏⡾⣱⣏⡾⣹⢧ ⢥⢊⡱⠌⡔⠱⡠⢩⡐⠥⡘⢡⠘⡄⢊⠔⡡⢊⠔⡈⠆⠱⠐⡠⢃⣴⡟⣼⢫⣞⡽⣎⢷⣛⡾⡇⣾⣛⡶⣽⣹⡷⣟⣿⡭⣿⡜⣿⣿⣿⠀⠁⡈⣿⣿⡿⣿⣼⡿⣿⡆⠱⢀⠆⠌⠰⡀⢍⠰⡐⠈⢆⡐⡹⣿⣆⢻⣟⢰⠟⡜⣻⢀⣶⣿⣓⠻⡖⣿⣯⣟⣿⣻⣾⣿⣿⡿⣽⣏⣷⣾⡿⣽⣳⢯⣽⡞⡽⢮⣽⡟⣶⡻⣿⣏⡾⣷⢿⡱⣏⡵⣫⢷⡹⣎⢷⡹⣞⡵⣳⣎⢷⣛⢮ ⣎⣰⣡⣉⣔⣡⣒⣡⣘⣤⣁⣃⣎⣐⣉⣢⣑⢨⡐⠡⢊⠑⢂⣱⡟⣧⢻⡵⣫⠾⣼⡹⣞⡵⣳⣧⠘⣧⢿⡼⣳⣟⣯⢿⡗⣼⣿⣿⣟⣿⣗⣤⣀⢻⣭⢷⣡⣻⣗⣿⠇⡑⠢⠘⠌⡰⠀⢆⠢⠐⠩⢄⠰⢀⠛⡻⣥⣈⣹⠾⡟⣡⠫⣜⠻⢤⢫⡝⣿⣿⣻⢾⣿⢿⣻⣽⣟⣿⣿⡿⣿⡽⣞⡷⢯⢾⡹⣏⢷⣺⣽⡳⣽⡝⣿⣿⣿⣻⣵⢪⢳⢧⡳⢻⡜⣯⢳⡝⣾⡱⣮⢷⡹⣞ ⣯⢗⣳⡟⣞⠷⣯⢷⣛⣮⢽⡳⢾⡹⣎⠷⣎⢧⡝⣏⡏⢯⡻⣝⢾⣱⢻⡜⣧⢟⡶⣻⡜⡷⣭⢿⣈⢽⡾⣱⡗⣯⣟⣯⣿⠌⣿⣿⢾⡽⣿⡻⢿⠊⡟⠶⣯⠥⠴⣋⠁⠆⡑⡈⠖⣡⠃⢌⡐⢉⠒⢄⠢⢡⠘⣀⠒⢌⡐⢣⠜⣰⢃⠮⣙⢎⠆⣿⣿⣿⣯⢿⣿⣿⣿⡿⣽⣿⢺⣟⣷⣻⢽⣏⢿⡳⣟⡼⣣⢿⣞⡽⢧⡟⣧⢿⣿⣽⣞⡿⣹⢮⡝⣧⡹⢎⡷⣹⢖⡻⣜⢧⡻⣜ ⣯⣟⣧⢿⡹⣟⢾⣣⣟⡮⢷⣛⡷⣹⢞⡽⣎⢷⡺⣵⢺⣭⢳⣏⢾⡱⣏⢾⡹⣞⣵⢳⣏⢷⣫⢟⡇⢺⡯⣗⢯⣟⣾⡳⣿⡎⣹⣿⣙⢿⣻⣷⢪⢱⡘⡱⢄⠎⡔⢠⠊⠔⠡⠐⠳⡀⠌⢢⠐⣈⠢⠌⠢⢁⠎⢠⠉⢆⡘⢆⡹⢄⡋⠶⣉⢎⣜⣿⣿⣽⣯⣿⣿⣿⣽⡿⣽⣳⢿⣻⢾⣽⢻⣞⢯⡽⣞⡵⣫⢾⣽⣫⢟⡾⣝⣾⣿⣽⣿⣞⡽⣞⡽⡶⣝⣧⣛⡥⢯⡝⣮⢳⡽⣞ ⣿⡼⣞⣯⡽⣞⣯⢷⣺⣝⣯⢳⡽⣹⢎⡷⣹⢎⡷⣩⡗⣮⢳⣎⢷⡹⣝⣮⢗⡯⣞⡽⢮⣳⣏⡾⣿⠠⣿⡹⣞⢯⡷⣯⠽⣷⠘⣯⡟⢢⣿⢿⡦⠇⡜⡑⢎⡒⢌⠡⡘⢈⠡⡉⠆⠱⣈⠰⠐⢠⠂⠍⠰⣁⠘⡠⢉⠆⡜⢠⠓⡌⡜⡱⢌⢲⣾⣿⢿⣿⢾⣽⣿⣿⣻⣽⣯⢳⣿⣽⣻⢾⣏⣿⣹⢞⣧⢻⡵⣻⢾⣭⢿⣹⡞⣾⣿⣼⢯⡿⣿⣷⢻⣝⣯⢾⣵⣻⣳⣻⡵⣯⣻⡽ ⠳⢛⠹⢒⠛⡱⢚⠣⠓⠞⡜⠣⠟⠥⠿⠜⣧⣛⡼⣣⢽⣎⠷⣎⡯⣽⢞⣼⢫⡷⣭⣻⣝⡶⣝⡾⣽⡆⣹⢷⡹⢾⡽⣧⣛⣿⡌⢿⡙⠦⡙⢦⣙⠮⣔⠩⢆⡜⢠⢃⡘⠄⡃⠜⡈⠥⢐⡈⢅⠢⠌⡌⢡⠐⠌⡄⢃⠒⡨⢁⠎⡴⢑⡘⢬⣾⡿⣋⣿⣿⢯⣿⣿⣻⣟⣿⡱⣏⣿⢾⡽⣟⡾⣽⣺⢽⣚⣧⢻⣹⣟⣮⣻⡵⣻⣽⡷⣿⢯⢾⣹⣻⢿⣾⣾⣯⣾⣵⣯⣳⢿⣱⣯⣽ ⡙⣌⠢⢍⠢⡑⡌⡡⢍⠒⡌⢡⠘⠤⢑⢈⣼⢷⣫⢵⣫⢞⡽⣣⢿⡜⣯⠾⣽⠾⣵⣳⢾⣹⡽⣚⡷⣷⠘⣯⣝⢯⣟⡶⣹⢞⣧⠸⣟⡄⠃⡌⠹⣗⢮⣻⣔⡈⠆⠤⡘⠠⢌⠂⡅⢊⡐⢠⡂⠢⡁⠌⢄⡘⠐⡄⢃⠌⡰⢁⠊⡐⠢⣸⡿⣋⢷⣵⣿⣟⢾⣿⣻⣽⣾⢷⡹⢞⣯⣟⡿⣯⣽⣳⢯⣯⡽⣎⡷⣹⡾⣵⡻⣼⣳⣿⡳⣿⢯⡿⣼⢯⣟⣾⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿ ⡱⢠⠃⢎⠰⡁⢆⠱⣈⠒⠌⡂⠥⠘⢠⣾⢯⡳⣝⢮⡳⣏⢾⣹⢮⡽⣞⣻⣵⣻⣳⣭⢯⣗⢯⣟⣽⣿⡌⢽⡞⣮⢷⣛⡴⣏⢿⡄⡹⣿⡐⢈⠂⢸⢢⣍⠙⢛⠨⢐⠠⠃⡄⢃⠌⠤⢀⣿⣧⡡⠄⠃⠤⢀⠣⠐⠈⠀⠀⠈⠐⠄⣫⢗⣵⣿⡛⢧⣿⣞⣿⣿⢯⣷⡟⣮⣝⣻⣟⣾⣽⢿⣶⢻⡷⣞⣽⢧⡻⢽⣯⢷⡽⣳⣳⣿⣹⣯⢷⡻⣼⣻⢾⣿⣿⣟⡾⣽⣻⣞⣷⣻⢾⡽ ⡴⣥⡭⣬⢦⡵⣬⠶⣤⡭⣴⣡⣦⣥⣾⣽⣦⣽⣬⣧⣽⣮⣷⣯⣾⣷⣽⣷⣾⣵⣷⣯⣾⣾⣽⣾⣿⣿⣇⠺⣽⣎⢷⣋⢶⡹⣞⣷⠐⢿⣳⠀⡐⡈⠴⠎⠷⢦⡈⠄⡂⠅⡐⠌⡐⠈⠤⡀⢻⣧⠘⠄⢊⠤⠈⠄⠀⠀⠀⠁⢠⣾⡿⣟⣋⢻⣿⣦⣿⡽⣾⣟⡿⣾⣽⣶⣼⣭⣿⣞⣯⣿⣞⣻⢷⣏⡾⡷⣝⣻⣾⣧⣿⣷⣽⣟⣾⣽⣯⣷⣯⣿⣿⣿⣳⣯⣿⣷⣿⣮⣷⣯⣿⣽ ⢖⠰⡐⢆⠢⣐⠢⢒⠄⡒⢄⡂⢰⣯⢟⡮⡽⣭⢻⣭⣛⢷⣫⢟⡷⣯⢿⡽⣯⣟⣾⣳⡿⣽⣹⣿⣳⣯⣿⠨⣷⢎⣯⣛⢦⢻⣜⢾⣇⠚⣿⢧⣳⠀⡷⠲⡄⠡⠉⠓⢦⣤⣡⠂⡐⢁⠒⣀⣉⣉⣌⣈⠄⡂⠉⠐⠀⣀⡤⠖⣻⠛⢷⣢⢍⢧⢻⣾⡷⣹⣿⣯⣿⢳⡝⣮⠽⣭⣷⣻⢾⣽⡾⣹⣟⡾⣽⢿⡼⣹⣿⢯⡿⣽⣿⣳⣿⣟⣿⣿⣯⣿⣿⢿⣿⡿⣿⣟⣿⣿⢿⣿⣿⣿ ⢎⠲⡁⢎⠡⢂⢣⡉⢆⡑⢂⠌⣸⡟⣮⢳⡝⣮⢗⣮⢏⣯⣻⣽⣻⡽⣯⣟⣷⣻⣽⣳⣟⣯⣿⣿⣽⣳⢿⡇⣹⡞⣧⠟⣮⠽⣮⢳⣿⡌⢻⣯⣿⣿⠃⠀⡧⢁⡀⠨⠔⠚⠛⠋⠉⠉⠉⡉⠉⠉⠉⠉⠀⠈⠉⠉⠙⠓⠒⠦⢽⣰⠈⠷⣞⡎⢧⣿⣹⡿⣿⣾⡳⣏⠾⣭⢻⡜⣿⡽⣯⡿⣷⢯⣟⡾⣭⣿⢺⡝⣯⡿⣽⣳⣿⣹⣷⣻⣾⣿⣞⣿⣿⣿⣿⣽⣿⣯⣿⣾⡿⣿⣾⢿ ⢎⢒⡉⢦⠡⡉⢆⡘⠤⡘⢄⠢⣽⡝⣾⡹⣞⡵⣫⣞⣻⡼⣳⣞⣷⣻⢷⣻⣾⣽⣳⣯⣟⡷⣿⣿⡾⣽⣻⣇⢹⡝⣾⢻⡜⣽⡽⣳⡞⣷⡩⣷⣿⣇⡐⣼⣿⠋⠁⠀⠀⠀⣀⣠⡴⣤⢦⣴⣦⣥⣶⡶⣄⡀⠀⠀⠀⠀⠀⠀⢀⣈⡷⢈⠻⣾⡟⣻⠏⣀⡿⠃⠙⠻⢿⣼⡳⣏⢿⣟⣳⣿⢿⡽⣾⣟⣳⢿⣧⣛⣿⣽⣳⣿⣳⣿⣳⢯⣿⣷⣻⣿⣿⣾⣿⣽⣾⣿⣳⣿⢿⣿⣽⣿ ⢎⠒⡌⠦⢡⠑⡌⠴⢡⡘⢄⠡⣷⣛⡶⣝⣮⣳⣝⡮⣷⣛⣷⣻⢾⡽⣯⣷⣟⣾⢯⣷⡿⣽⣿⣿⡽⣷⣻⣿⠠⣿⢭⡳⣽⢺⣽⣳⢿⡽⠛⠡⢀⠻⣶⠻⣏⠙⠳⠦⠴⣖⣩⣍⣳⣽⣯⣿⣿⣯⣟⣿⣏⡍⠙⠲⠦⢤⣑⣲⢫⠕⣿⣆⠰⢈⠻⣯⡄⠡⢐⠨⠐⡂⣤⡀⢙⠛⠿⣿⣷⣯⣿⣿⣽⣾⣽⣻⣷⢭⣿⢯⣷⡿⣽⣷⣻⣿⡿⣞⣿⣿⣟⣿⣾⡿⣟⣾⣿⣻⣿⢯⣿⣾ ⢎⠱⢨⡑⠢⡑⠌⠦⣁⠆⡌⢂⡿⣎⡷⣽⢲⡧⣟⡾⣵⣻⢾⡽⣯⣟⣷⣻⡾⣯⣿⣳⣿⢯⣿⣿⣽⣟⣷⣻⡆⢿⣣⢟⣼⣻⣾⠽⠋⡴⠂⢡⣷⢆⡙⢯⣻⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠠⠀⠄⠠⢀⠁⡙⠻⣧⣖⣠⢄⣉⠉⠛⠛⠿⠾⠟⠶⠮⢟⣷⣌⠰⡁⠆⢥⠚⡔⣈⠖⣠⢂⠩⣉⠛⡛⠿⢷⣿⣿⣧⢻⣿⣾⣟⣿⣞⣿⣿⣽⢿⡽⣿⣿⣿⢿⣿⡿⣿⣽⡿⣯⣿⢿⣽ ⢎⠱⢂⠥⢃⠜⣨⠑⡄⡒⠌⡄⣿⢧⣟⣼⡳⣽⣣⣟⡷⣯⢿⣽⣳⢿⡾⣽⣻⣽⡷⣿⣽⣿⣿⣿⢾⣽⡾⣽⣗⣸⡟⣞⢶⣻⡇⢰⠡⢐⠘⠿⢿⣧⣝⣢⡿⡆⠁⠀⠀⡀⠀⠢⠀⠄⠈⠀⠄⠂⡀⠄⡀⠄⠐⡈⠺⢍⣛⡶⣭⣎⣷⡶⠼⠷⢂⠥⢎⡜⣿⣧⡘⡈⠆⡱⢈⠴⢨⠐⡌⠒⡼⢡⡘⠔⢢⠘⡹⣿⣟⣿⡿⣼⣟⣯⣟⣾⡽⣯⣟⣿⣿⣻⣿⣟⣿⣿⣯⣿⣟⣯⣿⣿ ⢎⡸⢁⠞⢠⠊⡔⠬⡐⡡⢊⠄⢿⣺⡼⢶⣛⣧⣟⣮⢷⣯⣟⡾⣽⣯⣟⣯⣟⣷⢿⣻⣾⣽⣿⡿⣯⣷⣟⣯⢿⡐⣿⠽⣞⣿⡇⢸⢀⠃⢬⣐⡠⢀⠂⡉⢽⣧⠀⠘⢰⣾⠧⡷⢼⡀⢾⣷⣶⡎⠀⡀⠄⠀⢂⣠⣤⠶⠛⠛⡉⠅⡀⢆⠡⢃⡌⡜⢢⠳⣘⢻⣽⠳⢾⣄⣍⠦⣁⠎⢠⣽⢃⠣⢘⠌⠦⢡⠱⡘⢿⣿⣟⣿⡽⣾⡽⣞⣿⡽⣟⣿⣿⣿⣿⢿⣻⣷⣿⣯⣿⢿⣽⣾ ⡒⢌⠢⢍⢂⠱⡈⢆⠱⣀⠣⠌⢺⡷⣽⢫⣟⢶⡻⣞⡿⢾⣽⣻⢷⣻⢾⣟⣾⢯⣿⢯⣷⣻⣿⣿⣻⢾⣽⢾⣹⡔⣯⠿⣽⣾⣧⢘⠤⡉⠸⠿⠭⠷⣿⣵⣿⣽⡀⠀⢸⣿⠀⠀⢻⣇⠀⠀⣿⡇⢠⡶⠖⠋⢍⢡⣀⣦⣱⣶⣾⣶⡿⠿⠓⡂⠜⡌⢧⠣⢥⢋⣿⠃⡄⢌⢻⣗⠤⢊⠥⡿⡌⢃⠎⡘⠢⢅⠆⡑⢂⢻⣿⣯⣟⡷⣟⣯⡿⣽⡿⣿⣿⣿⣿⣿⣿⣟⣷⣿⣻⣿⣯⣿ ⡱⢨⠘⠢⢌⠢⡑⢌⠒⡄⢚⡈⠜⣷⢯⣛⡾⣫⢷⣻⣽⣻⢾⡽⣯⣟⡿⣾⢯⡿⣯⣿⣻⣽⣿⣷⢿⣻⡾⣏⣿⡆⣯⢻⣽⡃⣿⠸⢀⠆⡑⠂⠤⠁⡄⢠⠈⢽⣇⠀⠀⢿⡆⠀⠈⣿⠄⠀⢸⣿⠈⠛⣶⡿⠾⠛⠛⢋⡉⡡⢄⡤⣐⣄⠃⡜⣠⢋⠖⡍⡖⣡⡟⢘⠰⢊⠄⣿⣷⢉⢺⡷⢌⡡⢊⠱⡉⢆⠪⠰⡁⢎⢻⣿⣽⣻⣽⣳⣿⣻⣽⣻⣿⣿⣾⢿⣷⡿⣟⣿⣟⣷⣿⣻ ⠑⡌⣘⠡⢊⠔⡡⠊⠔⡈⠆⢌⠘⣯⣻⢵⣻⡝⣯⢷⣏⡿⣯⣟⡷⣯⢿⣽⣻⣽⣟⣷⢿⣳⣿⣯⣿⣳⣟⢯⣟⡧⢫⣿⢿⡁⣿⠀⢣⠘⡄⢩⣿⡿⣷⠷⣿⣾⣹⡀⠀⠘⢿⣶⢦⣿⡷⠈⣼⣿⣦⠄⠻⢧⣦⡵⡿⢶⣶⣿⣿⠿⢛⡉⢒⠸⣄⡋⢞⡸⢰⣹⢻⠠⢈⠳⡈⠔⣻⣼⣺⠱⡆⠱⢨⠑⣌⠢⢅⠓⡌⠢⠌⣿⣿⣽⣳⡿⣾⡽⣷⢿⣿⢿⣽⡿⣯⣿⣟⣯⣿⣻⣾⢿ ⡑⡌⡄⢃⠌⡐⢠⡉⣄⢡⠈⡄⢩⢧⣹⢣⡳⣽⡹⢮⡽⣙⣧⢻⡝⣯⣛⠾⡽⣞⡻⣞⡻⣝⣻⣷⢫⡗⣏⢾⣹⣇⢻⣿⣻⡇⣼⡎⡅⢎⡐⢢⠈⡛⠶⠯⣴⣶⣬⣷⠄⠂⠄⣀⡐⠂⢄⣡⢉⠩⣉⢐⣠⣂⢤⢲⣜⡷⠞⠏⣁⢂⡥⡐⢌⠲⡘⣌⢣⡙⢦⡟⡆⡈⠄⡳⣉⠒⡌⢷⣿⡕⡬⡑⢌⠒⡄⢣⢊⠱⡈⢕⠨⡐⣿⣷⣻⣽⣳⢿⣻⣯⣿⣿⣞⣿⣽⣳⢿⣽⣳⢿⣽⣻ ⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣹⡇⢸⣇⢹⡰⢈⠆⠡⣴⣖⣦⣐⣆⣬⡝⢛⠷⡦⢤⣤⣃⣌⣤⣉⣥⣩⣞⣴⣹⣞⢋⣥⣶⣿⠼⠶⠿⣷⡭⣌⢣⡙⢤⠣⡜⣿⡃⢃⠄⣁⠲⡡⢎⡐⠩⣿⣆⠱⡘⢄⣿⢣⡑⢎⠢⢍⡌⢢⢁⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿ ⣿⣞⣷⣻⣞⣷⡹⢮⡝⣳⣿⢾⣽⣳⣟⣾⣳⢿⣞⣷⡿⣽⣯⣿⣽⣟⣿⣻⣿⣽⣿⣻⣟⣯⣿⣻⣽⢿⣞⣿⣾⢡⣿⡿⡼⣧⢸⢿⡆⠓⣥⢊⢡⢎⣱⣾⢫⡿⣎⠉⠉⡉⠁⠠⠀⠠⢀⠀⠄⠠⢀⠀⠠⠀⠌⡉⢀⠠⠀⠄⡐⢀⠙⠿⣿⣶⡜⣢⣱⡿⢇⡘⠤⠈⠄⠸⣑⠢⢌⠡⢹⣿⠌⡱⢺⢇⠦⡙⡌⠱⢂⠬⡁⢆⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣯⣟⣷⣯⢿⣍⠷⡸⡕⣿⣻⣞⡷⣯⢷⡿⣯⡿⣞⣿⢿⣽⡷⣿⣻⣿⣽⡿⣾⢿⣽⣿⣻⣽⣟⣯⣿⣟⣾⣿⢰⣿⡳⣽⣿⠨⢈⠻⣷⣌⠳⣣⢞⣿⡷⢋⠄⣻⡀⠃⠠⠁⠄⢁⠂⠄⠈⠄⠡⠀⠌⠠⢁⠂⡐⠠⠄⡁⢂⠐⠠⢀⠂⢹⡟⢛⣋⡟⡐⠦⡜⢢⠁⠌⠰⡩⢕⡈⢆⡉⣯⢷⣡⣟⣊⣦⡵⡬⢵⡌⢦⡑⡌⢂⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣾⣽⡾⣯⢿⣿⡸⣱⢹⡸⣯⡿⣽⣻⢯⡿⣷⢿⣻⣯⣿⢯⣿⣟⣯⣷⡿⣿⢿⣿⣻⣾⢿⣽⣾⠫⡅⣻⣿⡇⣾⣿⢳⣿⢹⡆⠀⡂⢙⠻⣧⣿⡟⢋⠅⢢⡜⣿⠄⢁⠂⠡⢀⠂⠄⠂⡁⠂⠡⠈⠄⡁⠂⡐⠠⢁⠐⡀⠂⠌⡐⠠⢈⠂⡙⢿⣏⡱⣉⢳⠸⣁⠂⠌⠰⡑⣎⠰⢂⠡⢻⡌⢻⣯⡑⢦⡘⡜⣡⢚⡴⢣⠜⠣⠌⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢾⣳⢿⣻⣟⡾⣷⣡⠳⡜⣿⣽⢯⣟⡿⣽⣻⣟⣯⣷⢿⣻⣟⣾⣿⣽⡿⣿⣻⣯⣿⣽⣿⣻⠇⡱⢂⡵⣺⣇⣿⣯⢷⠇⠘⡇⠠⢁⠂⢌⡉⢣⠐⣡⠊⡞⣰⡇⢈⠠⠈⡐⠠⢈⠠⠁⠄⡁⢂⠁⠂⠄⡁⠐⡀⠢⢈⠐⡁⠒⣈⠐⠄⢂⠡⢈⠳⣷⢌⡣⢓⠤⠌⡐⠡⠒⣌⠒⡉⢆⠩⢇⠢⣙⢿⣦⠹⣐⢃⠖⣠⠃⢎⠱⢌⡐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣯⣿⣽⣯⣷⣭⣿⣷⣬⣟⣼⣳⣯⣻⣞⣽⣯⣷⣯⣟⣾⣯⣿⣽⣳⣯⣷⣿⣽⣯⣷⣻⣞⣷⠯⣌⢡⢳⡞⣽⢣⣿⣯⡟⠀⠌⡑⠠⢁⠊⠄⣊⢅⢊⢄⠣⡇⣽⡇⢀⠂⠡⠐⡀⠂⠄⡁⢂⠐⠠⢈⠐⠠⢈⠐⠠⢁⠂⢂⡐⠡⡀⠌⢂⠢⠐⡀⢂⠉⣻⣷⡉⢎⠂⢄⡁⠣⣌⢊⠱⢨⡑⢌⠒⡄⠚⢿⣷⡍⢆⡘⠤⡉⠦⡑⢢⠘⡄⠻⣿⣿⣯⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡷⣽⢶⣫⢾⡽⣞⡵⣻⣜⣳⢿⡼⣏⣿⢯⣷⣛⡾⣽⣳⣟⡾⣽⢯⡷⣯⢯⣿⣹⢯⣟⣿⡟⣐⢂⣳⠿⣼⡏⣺⣿⣽⠁⠎⡐⠠⢁⠂⠌⡐⢈⠆⣊⠌⣒⠱⣼⠂⠌⠠⢁⠂⠄⡉⠠⠐⠠⢈⠐⠠⠈⠄⡁⠌⠐⠠⢁⠂⠄⠡⠐⡈⠄⢂⡑⠠⣈⠒⡈⣿⡱⡃⠭⡀⠤⢁⢆⡡⢋⡔⢈⠆⡌⠰⡉⢆⠩⣿⣶⡁⢎⠰⣁⠎⡅⢪⠰⢡⠙⣿⣿⣿⢿⣿⣿⣿⣻⣿⣻⣿⣽⣿⣿ ⣿⡽⢾⣽⡳⣿⡹⣞⡵⢾⡽⣾⡽⣿⣽⢻⢾⣝⣿⣳⣟⡾⣽⢯⡿⣽⢯⣟⡾⣽⡿⣯⣿⠡⢆⣣⢿⣹⣿⢇⡿⣽⢇⠀⠆⡠⢁⢂⣌⣴⡴⣧⣚⡄⢚⠄⡣⢼⠐⡨⢁⠂⠌⡐⠠⠁⠌⡐⠠⠈⠄⡁⢂⠐⡈⠠⢁⠂⠌⠠⢁⠘⠠⠌⡠⢀⠅⢢⠘⠤⢹⣷⡡⠓⡄⢂⠁⢆⠰⡁⠢⠌⠰⢀⠅⡘⢄⠣⡘⣻⢿⣦⡑⢄⠊⡴⢁⠣⢆⠣⡘⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣯⣿ ⣿⣞⡿⣾⣽⣳⣟⡼⣭⣻⣽⣳⣿⡟⣼⢫⣞⣽⣞⡷⣯⢿⡽⣯⢿⣽⣻⢾⣽⣿⣽⣿⠇⡜⣢⡟⣧⣿⣿⣸⣟⡟⠘⢀⣔⣴⠾⠛⡭⢱⠸⣘⢿⡞⠤⡩⡐⢿⠠⠡⢌⠒⡄⠐⡠⢁⠂⠄⠡⢈⠐⡀⢂⠐⠠⢁⠂⠌⠠⢁⠂⢌⠐⠂⠔⡈⡘⠤⣉⠐⡡⢿⣅⢋⡔⠠⠌⠠⠃⠤⢁⠢⢁⠂⠢⢐⡈⢂⠱⣀⠏⡟⣷⣮⠐⢆⣉⠒⡌⢢⠑⢿⣿⣿⣿⡿⣿⣿⡿⣿⣿⣿⣻⣿ ⣷⢯⣟⡷⣯⢷⣻⣞⣷⣻⣞⣿⣳⢿⣜⣳⢮⡷⣯⢿⡽⣯⣿⡽⣟⣾⣽⡿⣿⣾⣿⠏⡜⣰⢯⣝⣿⣿⡧⣟⣾⡼⠟⣋⠣⠒⡌⢣⡜⣥⢛⣬⢿⡿⢢⠑⡌⣿⠐⡡⠊⡔⢠⡁⠰⠀⠂⠌⡐⠀⠆⠐⠠⢈⠂⠄⡈⠄⡁⠂⠌⠠⠌⠂⠄⢡⠘⡰⢀⠂⡡⢹⣏⠲⣘⠠⠘⠠⡁⠂⠆⡐⠂⠌⢂⠄⠂⡌⠱⢠⠎⡱⣘⠻⣷⣦⣬⣱⠌⡂⢍⣸⣿⣿⡿⣿⣿⣻⣿⣿⣯⣿⡿⣿ ⡏⡹⢌⡋⡍⣋⡑⢈⠉⢧⠟⡩⢍⣋⢚⢩⣋⣽⢭⢯⣻⡝⣾⡹⣏⢷⢯⣟⠿⣽⣟⡘⢴⣫⢞⣾⣟⣾⠟⢋⠅⡆⣓⠤⣣⠝⣜⡧⣞⢶⡻⣼⡿⢓⢢⠩⡐⣿⠘⡠⠑⡄⠣⠘⠤⠘⠠⡁⠄⠡⢈⠐⡁⠂⠌⡐⢀⠂⠡⢈⠐⡁⢂⠡⠘⡄⢃⠆⡈⠰⢐⠨⣿⡒⡡⠃⠌⡐⠠⠑⡐⠠⢉⠐⡈⠄⡑⠠⠑⡌⢢⠑⡌⢣⢌⢻⣿⢿⣒⠧⢦⡈⣿⣿⣿⢿⣻⣿⢿⣷⣿⢿⣿⣿ ⡜⢰⢃⠦⡑⠴⠀⢀⣾⠏⡱⢱⣈⡶⠞⣋⣵⡾⠾⣲⢯⣿⢶⡹⣾⢯⣟⢾⣻⡟⡰⢸⡙⣶⡿⢛⡉⣄⢪⡑⣎⢵⣊⢷⣣⢿⣹⣾⣽⠾⠟⣛⠡⠎⣄⢣⢐⣿⠘⣀⠣⠐⣁⠣⠌⣁⠂⢡⠘⣀⠊⡐⠠⢁⠂⡐⡀⢊⠐⡈⠐⡐⠂⠄⡃⠜⢂⡐⢈⠰⣈⠂⣿⣧⢁⠯⠐⢠⠁⡒⢈⠐⢂⠜⡠⢃⠄⠃⡂⠜⡂⢍⠔⡃⢎⠆⣿⡄⢏⠿⣴⠡⢌⢿⣯⢿⡽⣯⢿⡽⣞⡿⣽⢾ ⣎⢑⢪⢰⠡⣃⡀⡘⠃⢌⡵⡿⠋⣰⣾⡿⢏⢲⢡⠓⣏⣿⡷⣽⣏⣿⢺⣿⠟⡡⢡⠣⠟⡡⢆⢣⣜⣰⢧⣞⣮⣷⡿⠿⢛⡻⢭⡑⠢⢌⡱⢠⠃⢎⡐⠆⡬⣿⢈⠤⠑⣀⠂⢅⠊⡄⢊⠄⠒⢠⠁⠆⡑⠢⣀⠡⢀⡁⢂⠡⠑⣈⠰⢐⠡⠎⠠⡐⠈⡔⢠⢃⠰⣿⠎⡒⡅⢂⠐⡐⢀⠊⡐⢎⠰⢡⠈⡐⠄⢣⠘⣐⠊⡜⢨⡚⠼⣯⡘⢯⡭⢻⣆⠞⣿⣯⢿⣹⢯⡿⣽⣻⣽⣻ ⣀⣈⡤⠦⡴⣤⣁⣀⠈⣜⡟⠀⣸⣿⡏⠀⠂⣌⠢⣉⢷⣿⣟⡷⢯⣾⣿⠋⡔⣡⢣⢎⣑⣶⢾⣿⣽⢿⡟⣯⠉⠀⠐⡈⢧⡘⢦⠥⣉⠦⡐⢡⠚⠤⡙⡸⠰⣿⡈⢄⠣⠐⡌⠀⢃⠌⡂⠜⡠⠂⠡⠌⠰⣁⠰⡀⠆⡰⢈⠔⡡⢀⠢⣁⠊⠄⡁⢆⢩⠐⡡⢌⠂⣿⡧⢱⡘⡀⢂⠌⢠⠁⠼⣈⠒⡡⠒⢠⠘⣀⠣⢘⠌⢆⠱⢨⠣⣽⡼⠐⠿⣧⠜⣻⡜⣿⣯⢿⣹⣽⣳⣟⡾⣽ ⢡⠒⡔⣒⠒⠶⡄⠤⡉⠛⢦⡀⠻⣿⡀⠀⢀⡿⢂⡱⢌⡿⣞⣽⣿⠟⡰⢡⢞⡰⣣⡾⣟⣾⡟⣯⡟⡿⢁⢿⣄⠠⠀⠅⢢⡙⢦⡓⡰⢂⡍⠦⣉⢒⢡⠣⡝⢿⣶⠈⡔⢡⠈⡅⢈⠰⡈⢆⠡⡑⢄⠉⡔⣀⠒⡈⢆⠡⡌⠢⢐⠠⢁⠂⠡⣌⠸⢌⠢⡑⢢⢌⡼⠼⣷⢥⢊⠥⡂⠌⠠⢌⠳⣠⠙⠤⡁⢂⡐⠄⡣⢌⢊⠤⡙⡄⡛⣌⢣⡑⢊⠹⣷⢡⣗⢸⣿⣯⢳⡿⣼⣫⡽⢫ ⣚⠭⡙⢹⠟⠛⡓⠲⣤⠑⢢⡚⣦⣄⠙⠢⠼⣆⣥⣒⠣⣿⣽⡿⠋⠠⠐⢧⢮⣽⣷⣿⢻⢧⣻⣼⣻⠃⢊⡹⣷⡀⠀⠌⡀⢝⢢⡙⡤⢃⢌⠒⣌⢂⡏⠵⣊⠌⣿⣥⢈⠄⢣⠘⢄⠠⠑⢌⠰⡐⢂⠢⠐⡠⢂⠅⢊⡐⠄⢃⠄⡘⠤⣘⠱⣨⢘⠢⡑⢌⣰⡎⢧⡏⣿⡦⣉⠦⡱⢌⡐⣌⠳⣀⠫⡔⡁⠢⠐⡈⢔⡈⢆⠦⡑⢢⠙⣤⠣⠜⡠⢃⢻⣇⠌⣾⡟⡼⣫⢾⣵⢏⡼⢣ ⠁⠄⣠⠋⠄⡁⠀⠀⠀⠙⢥⡘⠰⢽⡇⠀⠘⡖⢦⣍⣿⡽⢋⠀⡔⠃⡍⣜⣿⣟⡷⣭⢟⡾⣱⡿⣇⠀⠈⢖⡹⣧⠐⠠⠈⠌⢦⡙⡤⢃⢌⠪⣐⠮⡘⡕⢢⠘⣼⠏⢆⠊⡔⡈⢆⢂⠡⠈⢆⠘⡠⣁⠣⠐⠠⠌⡐⠠⢌⠔⣊⠱⣊⠔⢣⠔⢊⠔⣡⡞⢧⣘⡞⡰⢹⣷⢄⡣⠕⡌⢒⢌⢣⢂⠳⢰⡉⢦⡁⠒⠠⡘⠆⠦⡑⡌⢜⢢⢹⢠⠑⢢⠌⣿⢰⣿⢫⡵⣏⢷⠇⡞⡼⣹ ⣤⣴⠥⢈⠐⠀⠀⠁⠀⠀⠀⠙⢧⡖⠃⠀⠀⢻⠼⣰⠟⠁⢄⠊⡄⢣⣲⡿⣙⠮⣝⢾⣭⡳⣽⠃⢿⡌⠠⡈⠐⣻⣧⠀⡑⢈⠰⣡⠓⡌⢢⠱⣊⠼⢡⠜⣠⣽⣿⠀⠣⠘⢄⠒⡄⢊⠔⡈⠄⠱⢀⠆⡰⢉⠰⠀⠤⢃⠎⠴⣁⠣⠔⡊⠥⡘⠤⢞⠳⡌⣇⡞⠰⡑⡆⣿⣆⡑⠎⡔⠡⢎⡐⢎⡑⠦⡙⢦⠸⣄⠡⠘⡌⢒⠡⠜⡰⢊⡜⡠⠙⣤⠒⣸⣿⢯⢯⡝⣮⣿⠸⡼⣱⢣ ⣥⣤⣦⣤⣦⡴⣤⣤⠴⠒⠒⠒⢀⡈⡐⠂⠁⢸⡿⠋⢀⠨⠄⡍⣰⣿⡿⠶⠿⠷⠾⠷⠿⠿⢿⠿⡿⣿⣄⠹⡄⠐⢿⡤⠐⣀⢂⢇⠫⠔⣃⠱⢌⠸⡀⣾⠞⣍⢻⣶⣷⣾⣶⣾⣶⣾⣶⣶⣾⣶⣶⣾⣶⣶⣶⣿⣾⣶⣿⣶⣶⣷⣾⣶⣷⣾⣷⣾⣷⣾⣶⣷⣷⣿⣶⣿⣿⣯⣦⢉⢆⢣⡘⠤⡘⠔⣉⠆⠳⣌⢳⡈⢔⡩⢌⠓⡰⢃⠔⣡⢋⡧⢳⣿⣿⣿⣾⣿⣿⣾⣷⡷⡷⢿ ⠀⠁⠄⢠⣼⠖⣋⠤⠖⠊⠉⠁⠀⠀⠀⠂⣠⡞⠁⠀⡀⠰⡉⣼⣿⡁⠠⠐⣀⠣⢌⠣⢍⣋⢎⡳⣱⠚⣿⣤⠙⢦⡈⠙⢆⠀⡎⢎⡝⣢⢁⡚⢄⣣⠾⣍⠳⣌⣿⡿⣽⣳⣯⣟⡷⣯⢿⡽⣯⢿⡽⣯⢿⣽⣻⡽⣯⢿⣽⣻⣽⣻⣽⣻⢯⡿⣽⢯⡿⣽⢯⡿⣽⢯⡿⣽⢯⡿⣽⣿⣶⣦⣌⠕⡸⠘⣄⠪⡱⠌⢧⡙⣦⡐⢊⡑⢢⡱⢎⠡⣾⣃⣿⣿⣽⣻⢶⣗⡺⣴⢲⡳⣝⢮ ⠀⠀⠈⣿⢧⣉⡄⠀⠀⠠⠀⠠⠐⡂⠜⣴⠏⠀⢀⠀⣄⣃⣾⣯⡿⠿⣶⡁⢆⠡⢌⠒⡄⡒⠤⢡⠓⣝⢦⡛⣷⣄⠹⣇⡒⢦⡘⠵⣘⢤⡃⢜⡫⢎⣱⣌⣷⡿⣯⢿⣽⣳⠟⡾⣽⣻⢯⡿⣽⢯⡿⣽⣻⣞⣷⣻⣽⣻⣞⡷⣯⢷⣏⡿⣯⢿⡽⣯⢿⡽⢯⡻⣭⢷⣻⢽⣯⣽⣳⣟⣾⣻⢿⣿⣶⣽⣀⢇⠱⡘⣂⢙⡰⡙⣆⠱⣊⠔⡊⣶⣧⣿⣿⣳⢯⣟⡿⣞⣷⢭⣳⡝⣮⢏ ⠀⠂⠁⢸⠀⠈⢉⠙⠛⠒⠞⠶⠳⠞⠚⠛⠛⠛⠛⣛⣩⢭⡵⡺⢭⢷⠣⠔⣈⠒⣈⠒⠤⡑⢌⠡⠎⡌⠲⣙⢬⢫⣷⣾⣝⡦⡙⢦⠍⢦⡙⢦⡑⣮⣿⡿⣯⢿⣽⣻⢞⡵⣫⢷⣹⢯⡿⣽⢯⡿⣽⣳⣿⣾⣷⡿⣿⢿⣿⣿⣽⣻⢾⡽⣏⣟⡹⣭⢞⡼⣣⡝⡶⢫⡜⣏⠶⡯⢷⣻⢾⣽⣻⣞⣿⣻⣿⣿⣶⣵⣊⡔⢢⠙⡔⣩⠐⣊⣴⣿⣿⣿⣳⣯⢿⡾⣽⣻⣞⢧⣳⡝⣮⣛ ⠀⡀⢁⡞⠀⠀⠀⠠⠁⠌⡐⠀⠂⠐⠈⡉⠩⠍⠣⠅⠣⠘⠐⠁⠳⣼⣅⣒⣤⠷⢶⣷⢦⡱⣈⢒⢡⠘⡅⠪⢌⣛⠾⣝⣻⢿⣿⣤⣫⢆⣹⣶⣿⡿⢯⡽⣏⡟⣲⡝⣮⠳⣭⢾⡽⢯⠟⣭⣿⠿⣟⡿⡽⣞⢷⡻⡽⣛⢾⡹⢯⠿⣿⣿⣵⢎⡷⢣⢾⡱⢧⢻⡜⣧⢻⡜⣯⢵⡫⣝⡻⢞⣳⣟⣾⣳⣟⣾⣻⣟⣿⣿⣷⣷⣴⣀⣣⣼⣿⣿⣟⡷⣿⢾⣯⢿⣫⢷⡹⣮⢷⡹⣧⢻ ⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠀⠠⢀⠡⠀⠌⠠⡑⢿⣧⡾⢛⠩⡙⣯⡽⣆⠜⡠⢃⠬⣱⢯⡏⡽⢎⡝⡺⢼⣫⢟⣿⣻⢯⢳⢫⡗⣝⡲⣭⢳⡜⢶⡛⡜⣦⢛⣬⣿⠿⡽⣋⠷⣳⡹⢞⣎⢷⡹⣭⢶⡹⣋⢷⣙⣞⣿⣿⣼⣿⣶⣿⡿⣷⣿⣾⣷⣿⣶⣯⣵⣋⢾⡹⢞⡼⣣⢟⡾⣳⣟⣾⣳⣟⡾⣯⢿⡿⣿⣿⣟⡿⣞⡿⣽⢫⡽⢮⡳⣏⠷⣝⢮⢷⣹⢳ ⠐⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠄⠂⠠⠁⢀⠁⠂⠄⠂⠌⡠⢁⠐⡈⣿⣆⠸⡠⢑⠸⣯⢿⡂⠵⣈⣲⣟⠳⣞⡱⣏⠼⣙⠧⣭⢛⡴⢳⢎⣏⢗⣺⣥⣿⣴⣫⣜⣣⣝⣺⣌⠗⠋⣺⣟⡱⣋⢗⣣⡝⡾⣜⢮⢳⣎⢧⣛⣭⣾⢿⣛⠯⣿⣿⢎⡷⣜⡳⢳⢞⡴⣣⢯⡝⣯⢻⠿⣿⣿⣿⣶⣽⣎⣗⡳⢞⣲⢳⠮⡵⢫⣭⢻⡽⣞⡽⣹⡹⣜⢧⡻⣜⢯⡳⣝⣯⣽⣮⣷⣿⣿ ⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⢈⠀⠂⠀⡐⠀⠡⠀⠌⠂⠌⡐⢂⠡⣀⠂⢡⠘⣿⡂⡅⢣⠘⣿⢸⡇⢣⢴⡳⢎⡟⡴⢫⣜⠻⡼⣙⢦⡻⡜⣏⢾⡸⣽⣾⣿⢿⣿⢟⣿⣿⢿⣿⠿⣿⢿⣿⢿⡿⣿⣿⣷⣿⣶⣿⣾⡳⣎⠷⣿⢯⣛⢮⡝⣯⢼⣿⣎⠷⢮⡝⢯⡞⣵⢫⡞⣼⢣⣏⡟⣖⠧⣏⣟⢻⠿⡿⣿⣿⣿⣷⣿⣿⣷⣮⣷⣵⣯⣶⣧⣿⣼⣧⣿⣾⣷⣿⡿⢿⣛⢯⣏⢷⡺ ⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠀⡐⠠⠈⠠⢁⠂⣉⠐⠰⢈⡐⠠⢊⠄⢣⢹⣧⠙⡤⢉⡟⣾⢰⢭⡞⣭⢳⣙⢞⡳⢎⣻⡱⢏⡾⣱⣛⡼⢣⣽⣿⠟⢉⣬⢻⣿⢩⣏⡟⣺⠗⠛⠪⣽⠫⠴⡚⢶⡹⣞⣿⣿⢿⣱⣏⣟⣻⣧⣟⢮⣝⣶⣿⡿⣜⢯⣳⣹⢳⡺⢵⣣⢟⡼⣓⢮⡝⣮⢻⡜⣮⢏⡷⣹⢖⡳⣎⠷⣭⢫⡽⡹⣏⢿⡹⣟⣻⣛⢯⣻⣽⣯⣞⡵⣫⢯⡝⣞⡮⢷⣹ ⠲⡀⠀⠀⠀⠀⠀⠀⠀⢁⠈⠄⠁⠀⠄⠁⠂⠄⡈⠤⢈⠡⠂⠌⡑⠂⠬⡑⢎⢿⡇⡰⣹⢧⡿⣭⠞⡼⣥⣛⣬⢛⡼⢫⡖⣝⣫⡜⣧⣓⣾⣿⡿⡋⡴⣫⣷⣶⠓⠿⠲⣷⢥⣐⡈⢄⡏⠜⡡⣉⢆⣱⡞⣿⢯⣿⠷⣞⣼⢣⣟⣻⡿⣻⢿⡹⣞⡭⣞⣥⢳⣏⢽⣣⢏⡾⣱⢏⡾⣙⢶⣋⠾⣥⢻⡜⢧⣏⡳⣭⢻⡜⢧⣛⠵⣋⢾⣱⣽⣶⣿⣿⣿⣿⣿⣿⣷⣿⣮⣝⣮⣝⣳⣭
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣯⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣾⡿⠛⠻⣿⣧⠀⣴⡿⠛⢿⣷⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⣇⠀⠀⣿⣿⠇⢿⣷⣀⣼⣿⠃⢹⣿⠆⠀⠀⣀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠢⣄⠀⠀⠀⠀⠀⢀⣠⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠻⢿⣷⣿⠿⠋⠀⠈⠉⠋⠉⠁⣀⠤⠔⠒⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⢠⣾⠋⢹⡷⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⢸⣿⣤⣾⢣⡿⣻⣦⣴⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠉⠉⠁⢻⣏⡾⢢⣿⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⢠⠀⠐⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠂⠀⠄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠠⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⢸⣿⡆⠀⠀⠀⠀⠹⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢳⡀⠀⠠⠀⠀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⡆⠀⠀⠀⠀⣾⣿⠆⠀⠀ ⠀⠀⠀⠀⣀⢀⡀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡃⠠⢠⣜⠾⢾⡙⣷⡄⠀ ⠀⠀⠀⠀⢿⣿⣷⣤⣤⡀⠸⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⡄⠀⠀⣴⡿⢯⣖⡯⣦⣼⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⣙⣯⣉⠙⠁⠀⢻⠙⢿⣦⣄⡀⠀⠀⣠⣴⣿⠟⠁⠀⠀⠀⠐⢄⣀⣀⡤⠚⠋⢀⢿⣇⣨⣽⡅⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡟⠙⢻⡇⠀⠀⠀⢧⠀⠈⠛⠻⠿⠿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠚⠀⠁⡛⠩⠕⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠿⠿⠿⠁⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠖⠉⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣾⠿⢿⣶⡄⠀⠀⠀⠀⠀⠀⠈⠲⠤⣀⣀⣀⣀⣀⣀⣀⡀⠠⠤⠂⠋⠁⠀⣠⣶⡶⣦⡀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣇⡀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⢤⣯⡇⠂⠀⠐⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠻⠿⠿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠷⠿⠋⣴⠆⢻⣆⣀⣴⣦⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⢿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠈⠿⣦⡿⢃⣿⠿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠶⣶⡀⣿⡉⣻⡆⢻⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡅⠀⠀⠀⠀⠺⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧⣀⣽⡇⠙⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡹⢌⡓⠜⣒⠰⢂⠖⡐⢢⠒⡰⢂⠒⡔⡂⠖⡐⢢⢒⠰⢂⡒⠔⡂⠖⣐⠢⢒⡐⢂⠖⡐⣂⢒⠰⢂⠲⡐⢂⠖⡐⣂⠲⡐⢂⡒⡐⠆⢆ ⡱⢊⡔⡩⢄⠣⢅⡊⢜⠠⢓⡰⢁⡃⢆⡑⢊⡑⢢⠘⣄⠣⡘⢢⢉⠲⢠⠓⡌⣐⠣⢌⠱⢠⠊⡜⡈⢆⠅⣃⠎⡱⢠⠃⡜⢡⠂⡕⢪⠐ ⢅⠣⢌⠱⢊⡑⢢⠜⢢⠉⢆⢆⠣⡘⠤⣘⠡⡘⢄⢣⠢⡑⡘⠴⡈⠦⣁⠎⡔⢢⠑⡌⠲⡁⢎⠰⢱⢈⡒⠴⡘⢄⠣⡘⢤⠃⡜⢠⢣⠘ ⢌⡱⢨⡑⢢⢉⠖⣘⠢⡙⢢⡘⢢⢑⢢⡑⢢⡑⢊⠤⠓⣄⠓⣢⢑⡒⡰⣘⢐⠃⣎⡐⢣⡑⡌⢚⡐⢢⡘⢢⢑⡊⡔⣑⢂⡓⢌⡒⢢⢉ ⢢⡑⢢⠜⠤⢩⠜⡠⢣⠘⡡⠜⣐⠊⡔⢌⡒⠌⡜⡰⠩⢄⠣⢒⠢⠔⡡⠒⡌⢎⠰⡈⠖⡰⠨⢅⠜⡡⢂⠇⡢⠱⠰⢌⠒⡌⠦⡘⠢⢌ ⠢⢜⢂⠎⣑⢊⠴⣁⠣⢩⠰⡉⢤⠩⠔⡊⠔⡩⠰⢡⢉⠆⡍⠆⡍⠢⠥⢩⢐⢊⠱⢌⠱⢨⠱⠨⢌⠱⢌⠢⠱⣉⠱⢌⠱⠨⠅⠥⡉⢆ ⡑⠎⠤⡓⡐⣊⠒⣌⠱⡈⢆⢍⠢⣁⠇⡱⡉⠴⣉⠒⡌⠒⡌⢒⠡⠣⠜⡂⢎⠌⡒⢬⢡⠃⡌⢓⠬⡑⢌⡘⠥⣂⠍⢢⢩⢡⡙⢢⡑⡌ ⢌⠣⡱⠘⠤⡃⢭⡀⢇⡑⢊⠤⠓⡄⢊⠱⣈⣒⣄⣧⣬⣵⣼⣬⣶⣥⣮⣼⣤⣾⣐⣢⣌⡘⢌⡘⠤⢃⠆⡜⢒⡰⢨⢁⡒⢢⡘⣄⠒⡌ ⢌⡱⠰⣉⠦⡙⠤⡊⠤⢃⡱⢨⣱⣼⣷⡻⣻⣙⣯⣵⣯⣾⣶⣷⣶⣾⣶⣷⣽⣦⣯⣭⣏⣟⣻⢶⣵⣨⠘⠤⢣⡐⣡⠢⢅⢣⡐⠤⢃⠜ ⠢⣌⠑⡆⢢⡙⢔⡉⢆⠣⡐⣱⣯⡾⣿⣿⣿⣿⣿⣿⠿⠛⠛⠛⠻⠿⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⡶⣽⣯⣦⣁⠒⡄⢣⠌⡢⠌⡅⢣⠘ ⠱⣀⠓⡜⡠⣑⢊⡔⢊⠆⡱⢸⡿⣇⠟⡿⢿⣿⣿⣿⣷⣤⣆⣀⠀⠀⣀⣠⣬⣶⣿⣿⣿⡿⢿⣛⣳⣾⣿⣟⡽⢿⡔⡡⠚⣄⠣⢌⡅⣊ ⠱⡌⡑⠦⡑⡌⡒⡌⢒⠌⡔⠹⣷⠻⣝⡜⢣⠾⣌⣯⡙⣏⡟⡻⡟⢿⣻⢛⣏⢯⡹⣍⣶⣽⣶⣿⣿⢸⠣⠜⣟⣎⣷⢡⠩⡄⢣⠒⡰⢠ ⠱⢌⡘⢆⠱⡘⠤⢃⠍⡒⢌⠱⢻⣦⣌⡉⠓⠺⠶⠼⣵⣎⣼⣱⣙⣦⣣⣍⣖⡮⠵⠼⣿⡻⣏⣷⣾⡟⢡⣺⡗⣧⡟⢢⢑⡘⡄⢣⠆⡅ ⡑⣊⠔⣊⠱⢌⡱⢉⠆⡱⡈⢆⠹⢷⣏⡽⡲⠶⢦⣤⣤⣤⣀⣀⣀⣀⣀⣀⣤⣤⣤⣼⣷⣿⣿⡿⡼⣱⣼⢯⣼⡿⢉⠆⠬⡐⢅⠣⡘⠤ ⢢⡑⠌⣆⡑⢎⡰⡁⢎⠔⡡⢊⠔⡩⢷⣚⡽⢷⢦⠖⣦⢣⡝⡭⣍⠯⢭⡹⢆⡳⢢⣿⣯⣷⣿⣿⣿⣿⣿⡿⠋⡔⠨⢌⢣⢉⡌⠥⡑⡌ ⠢⡜⠡⢆⡘⠔⡢⢉⠆⢎⡐⢣⣼⢾⣟⣿⣾⣿⣶⣏⡹⡶⣙⠶⣩⠞⣡⢛⡬⣳⣿⣿⣟⣿⡿⢿⣿⣯⡡⢡⢃⡌⠓⣌⠒⣌⠰⡁⠖⡨ ⠱⢨⢑⡊⠔⡩⠔⡩⠘⠤⢸⡟⠀⢸⣾⣿⣿⣿⣿⣿⣿⣿⣾⣜⢥⣛⣬⣷⣾⣿⣻⡵⣿⢻⣿⡳⠚⠉⢻⡆⠆⣌⠱⢠⠃⢆⡱⢘⠢⢡ ⡡⢃⠆⡍⢆⠱⢩⠰⡉⡌⡙⢷⣆⠈⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⢿⣿⡿⢷⣻⣭⠷⠽⠞⢋⡵⠃⢀⢠⡾⡍⠒⡤⢉⠆⡍⠦⠰⣁⠣⢡ ⠢⣍⠢⡱⡈⢜⡡⢒⢡⢂⠱⣈⡙⢳⣼⣟⣿⡿⠿⢿⣿⣿⣟⣋⣀⣀⣠⣀⣄⣤⡤⠶⠚⣋⣠⣴⠾⡋⠥⣈⠵⣈⠬⡘⢤⠩⡑⣄⠣⢡ ⠱⡠⢃⡕⡈⢖⡐⣃⠆⢎⢢⠡⠜⡠⢂⠬⡉⢝⠳⠲⠶⢦⢤⡭⣭⢭⡥⡥⠶⠶⡖⣛⠻⢩⡑⢢⡑⢌⡒⡰⢒⡐⢢⢑⡊⠴⡁⢆⡃⢆ ⢅⠣⡌⢆⡉⢆⡒⠔⡊⠔⡢⢉⡒⡡⢃⠦⡉⢆⠱⣉⠜⡂⢆⡒⠤⠒⡤⢑⡜⠰⣁⠆⢣⠒⡘⢤⡘⡄⢆⡑⢢⠜⡐⢢⠜⢢⢑⠢⠜⡠ ⢌⡱⢈⠖⡈⢖⡈⢇⠩⠆⠥⢣⠰⡁⠎⠴⡁⢎⠒⡌⢆⡑⠢⢌⠣⡑⠤⢃⠬⡑⠤⢊⠥⢚⡐⠦⠰⢌⠢⠌⠥⡊⠴⠡⢎⠡⢎⠡⡃⠥ ⢢⡑⢊⡒⡑⢢⠩⢌⡱⢌⠣⢡⠎⡘⢌⠆⡱⣈⠜⣈⠦⢌⠱⡨⠑⣌⠘⣌⠢⢅⠣⡉⠦⢡⡘⠤⠓⡌⠱⢌⠣⢡⠍⡜⠤⣉⠦⢡⠱⣈ ⢢⡑⢡⢒⠡⣃⢓⡂⢖⠨⢌⠣⣘⠘⣄⢋⡔⢢⢉⠦⡘⢌⢒⡡⢋⡄⢣⢂⡓⢌⡒⣡⢃⢣⠘⣌⠓⣌⢃⠎⣡⠃⢎⡐⢣⠒⣌⢂⠇⡰ ⠆⡥⠣⢎⠴⣁⠒⡌⢢⠑⡊⢔⢂⠃⢆⢢⠘⡰⢈⠒⡡⢊⠆⡒⢡⠘⣐⠢⡘⢂⠒⡄⡊⠔⡱⢀⢣⠐⡊⠔⡡⢚⠰⡘⢄⠓⡄⢊⠆⡡
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Dropping some school related drama . ݁₊ ⊹ . ݁˖ . ݁ Okay so, i was going into the girls bathroom the other day and i legit saw a megamind shrine. A FRICKING- like there was a blue balloon on it was a pic of megamind, and around it was blue jewellery and stuff nah but seriously two girls SKIPPED school to watch over the shrine my school is a psych ward at this point (╥﹏╥) ⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠠⡐⢠⠂⡔⠰⣀⠆⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢠⠀⡂⠔⡠⢂⠢⡐⠄⡂⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⠏⠀⠀⠀⠀⡀⢂⠔⡐⢄⠊⡔⢡⠢⡘⠠⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⢃⠐⠠⢁⠐⠠⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⣏⠀⠀⠄⢂⠡⠐⡈⠔⡈⢆⠱⣈⣶⣷⡡⢗⡆⣖⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠄⠠⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡟⡧⠀⠌⡐⣀⠂⣥⣐⡼⣶⣾⣷⣿⣿⣿⡧⢋⣧⢻⣦⣀⠀⠀⠀⠀⠀⠀⠠⠀⢀⠀⡐⠀⢁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣶⣯⣶⡵⣞⣷⣷⣯⣿⣿⣿⣿⣿⣿⠏⡔⠡⢻⠒⣿⣿⣦⡀⡀⠀⠀⠀⢀⠐⠠⠀⠄⠈⡀⢀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡟⠓⡌⠄⡑⢂⠥⠘⠿⣿⣿⣷⣤⣔⡈⣀⡀⢂⠌⡐⢀⠠⢀⠈⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⢿⠛⢯⡙⡑⢒⠈⡡⠐⢂⠐⠌⣂⠡⢒⠈⠻⣿⣿⣿⣾⣷⣟⣶⣲⣴⣮⣶⣥⣞⣴⣳⣶⣠⢂⠄⣈⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠭⡘⠤⡉⢆⠰⠡⢌⠂⠥⡘⠠⢈⡐⠄⠢⡉⢌⡐⢈⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⢐⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀ ⣿⣿⣿⣿⣿⣿⣇⢇⡄⢣⠘⡄⢣⠘⡸⢀⠣⡘⡀⠠⡘⠃⣠⠄⡸⢀⠃⡄⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣄⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⢀⣼ ⣿⣿⣿⣿⣿⣿⣿⣷⣴⠂⣇⠜⡠⢃⢆⡉⢆⠱⡈⢅⠰⠁⠠⢚⡔⢡⠊⡄⢡⠂⠤⡉⢍⠛⡛⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⠘⡀⠃⢀⣴⣿⡿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡂⢉⣖⣶⣱⣎⢦⡱⢌⣒⠀⡁⢢⠘⡆⠱⣈⠆⡉⢆⠱⡈⢆⠱⢌⠣⡐⢌⡩⠻⢿⣿⣿⣿⣿⣿⣿⡾⠄⠀⠀⠀⠀⠀⠀⠀⡌⢂⢄⣴⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⡿⣿⣿⣶⣿⣧⢎⡇⢀⠣⣉⠆⡓⡔⣊⠕⣪⢱⡘⢆⡣⢎⡒⠥⠒⡄⠓⡌⠜⣩⠛⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠠⣉⣴⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣼⣿⣿⣿⣿⣷⡄⠂⡱⢌⢎⡱⣘⣦⣫⢶⣣⣟⡼⣵⡳⣜⣧⣙⠤⢓⢨⠘⡄⢣⡐⢩⢿⣿⡅⠀⠀⠀⠀⠀⢲⣾⣿⡿⠿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢠⣼⣿⣿⡟⠙⣿⡧⢀⠱⣊⠶⣹⢏⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⣯⣟⣎⢆⠣⡜⡠⠜⣠⢊⢏⡇⠀⠂⠀⠀⣠⣿⡟⠋⣀⣤⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡅⠀⣸⣿⣿⣿⣿⣿⣿⡗⡀⢣⢜⠲⣟⣿⣿⣿⠟⠉⣠⣽⣿⣿⣿⣿⣿⣿⣿⣮⣗⢬⡑⢎⡴⢩⢺⠀⠀⠀⣴⣾⣿⣏⣷⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⣿⣦⣌⣻⣿⣿⣿⣿⣿⠇⢐⣻⣎⡕⣫⢿⣿⡏⠀⢀⣽⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⢦⡙⣎⠶⡙⠸⠀⠀⣼⣿⣿⢋⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠀⠼⣯⣟⣿⣿⣿⣿⡿⠏⠀⢚⡶⡏⣿⣹⣿⣿⠀⠀⢨⣿⣿⣿⣧⣴⣿⣿⣿⠍⣿⣿⠇⠐⠈⠀⠁⠀⠀⢴⣿⣟⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠐⢊⠫⡙⠋⠭⠩⠀⠀⢀⣬⠷⡏⣷⣟⣻⣿⣇⠠⠀⢿⣿⡿⣿⣿⣿⣿⠏⢀⣸⡿⠁⠀⠀⠀⠀⠀⡼⣘⢳⣬⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⢠⠆⠀⠀⠀⠀⠀⣴⢻⡮⠽⡼⣿⣼⢷⣿⣿⢷⣦⣌⣛⣿⣾⣿⣿⣯⡶⣿⠟⠀⠀⠀⠀⠀⠀⠈⣱⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣏⠂⢅⡢⠔⠀⠀⢀⠸⣔⡿⣍⢷⠳⠿⣿⡿⣿⢿⣿⣽⣛⣿⢻⣻⣝⣻⣴⡣⠆⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣟⢸⠾⠁⠀⠀⠀⠤⡙⣌⠻⣌⢎⡱⠛⣵⡑⢎⠣⣍⢛⡛⠷⣛⠻⣩⠉⡁⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⠀⠀⠀⠀⠐⠢⡑⠌⠱⢌⠒⠬⡙⢌⠗⡌⠱⡀⢆⡉⢖⡠⠣⣄⠱⣀⠆⡠⢀⠀⠀⠀⢰⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⠃⠀⠀⠀⠀⠀⠁⠀⠀⠈⠀⠀⠈⠂⠍⢂⡚⠬⣑⠸⢄⡍⠲⣌⡱⢦⣹⠰⡘⡤⢃⡼⠸⢡⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣯⡿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⣵⢪⠜⡢⢜⡱⢢⡓⣾⣩⠧⢅⢃⡁⠠⢢⣿⡀⠙⣿⣾⡿⣯⢷⣻⣟⣿⣿⣿⣿⣿⡏⣸⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣼⡍⡞⢱⡎⣴⢣⠙⣮⣽⣮⢠⡌⠑⢢⣾⣿⡟⣶⣶⣭⢻⣭⡟⣷⣯⣿⣿⣿⣿⣿⢱⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢧⡛⣜⢣⢜⠢⢎⡱⠢⠅⠂⡰⠁⠀⣼⣿⣿⣷⣾⣿⣿⣮⣟⣽⣳⢯⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⡩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠞⡱⢎⡝⣎⢧⢊⡕⢪⠔⠡⠈⠀⠁⠈⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣻⣿⣷⣿⣾⣽⣯⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣟⣂⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⠉⠁⡊⠑⢪⣼⢚⡬⢣⠜⡱⠈⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⢯⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⢈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠒⠁⠀⠀⠀⠀⠀⠉⠈⢺⣍⡞⡥⢚⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾ ⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⠵⡤⡕⢀⣠⣤⡴⣊⡈⣀⠀⠀⠀⢀⠀⠀⠀⠀⠈⢡⢜⡷⡍⢆⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣏⣿⣵⡿⡿⡿⢿⠹⠵⠊⠒⠻⠾⣶⣄⡀⠂⠹⣟⣧⠂⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢎⣿⣿⣿⣿⣿⣛⡯⣥⣂⣀⡄⠀⡈⠉⢿⣄⠈⣿⣞⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣣⣞⣿⣿⣿⣿⣿⣳⣝⣶⣋⣶⣩⣍⣒⣀⣈⣹⣳⣍⣂⣀⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

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