; Emoji Combos

Copy & Paste ; Emojis & Symbols 🩶🐼💿⨾:3 | 🕷💗🕸🦇⨾♡︎⨾;༊ᨖ૮₍´˶• . • ⑅ ₎ა⭒⭒⭒⭒ | 🖤

🩶🐼💿⨾:3
🕷💗🕸🦇⨾♡︎⨾;༊ᨖ૮₍´˶• . • ⑅ ₎ა⭒⭒⭒⭒
🖤♡︎ֶָ֢🫶🏻
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣀⡀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣂⣠⣴⠶⠟⠋⡅⢀⡇ ⢠⡤⠖⠚⠛⠛⠛⠛⠛⠓⠶⠤⢤⣀⣀⣀⣤⡤⠶⠞⢻⡛⠛⠛⠉⠉⠉⠉⠉⠙⠛⠓⠒⠒⠒⠚⠛⠉⠉⠁⠀⠀⢀⣤⠞⠁⣼⠃ ⠘⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠉⠀⠀⠐⢒⣾⠝⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⡤⣴⣾⠯⠀⢀⣼⠏⠀ ⠀⠀⠈⠓⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣳⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⣹⡿⢃⣴⠟⠁⠀⠀ ⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠠⠿⢷⠇⠀⠀⠀⠈⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢁⡴⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⡆⡾⠀⠀⢀⣀⣈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⢀⡼⣟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⠃⢀⣼⣿⣿⣮⡙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⣸⣿⠟⣿⣿⡄⠀⠀⠀⠀⠛⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠀⢸⣿⣿⣹⣿⣧⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⢿⣿⣷⣿⣿⡇⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡇⠀⠘⢿⣿⣿⣿⣧⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢾⣿⣿⡿⢃⣀⠈⠀⠀⠀⠀⠀⠀⣹⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠾⣇⠀⠀⠀⠉⠉⠉⠁⢀⣠⠴⠶⠻⣿⡛⣷⠀⠀⠀⠀⠀⠀⠀⡀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⢻⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠺⣿⠀⠀⢰⡿⢿⡿⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠠⢻⣿⣀⡾⠁⠀⠀⠀⠀⠀⠀⠰⠦⠤⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⣤⡼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣤⣀⣠⠴⢲⣄⠘⠙⠋⠁⠀⠀⠀⠀⠀⢀⠀⠢⣤⠀⣠⠾⠉⠙⠒⠶⢤⣀⠀⣰⠿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠛⠙⢦⣤⠊⢳⣜⣧⡶⢶⣤⡀⠀⠀⢠⣌⡳⣄⣤⠟⠳⣤⡀⠀⠀⠀⣰⣄⡽⠓⠦⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠖⠉⠀⠀⢀⠴⠋⢙⣶⣯⡈⠛⣷⡀⣿⣿⣷⣦⡤⠈⠉⠙⣆⠀⠀⠀⠈⠓⢦⣴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⠁⠀⡰⠋⠀⠙⠹⣦⣿⡟⠉⢹⠏⢠⠇⠀⠀⠀⠈⢧⡀⠀⣠⠴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀⠀⠀⢹⡇⠰⠟⣴⠋⡴⠃⠀⠀⣀⡤⠿⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣤⢾⣷⣾⣥⡤⠖⠋⠉⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
AI Story Generator
completely free, NO signup required (ever), and unlimited!
"
🧑🏾‍🦲🪁🧻
⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡖⢉⡠⣖⠊⠓⢦⡙⢦⠀⠀⠀⣞⡤⣶⠆⠀⣠⣾⠥⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⡴⠋⢁⢘⡄⠀⠀⢳⠀⣇⠀⠉⠛⡰⠃⠀⠀⠉⣠⠞⠁⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⡇⠀⢸⢸⠀⠀⠀⣸⠀⡟⠀⢀⠜⠁⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⣠⠖⡱⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⢰⠞⣳⢭⣓⠓⠚⠒⠒⠉⣁⡼⣉⣲⠋⣀⣀⣠⣞⣁⣀⡀⠀⠀⠀⠀⢀⠞⣡⣊⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠺⣾⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣆⠀⠀⠀⠀⠀⠀⢤⠀⠀⢸⡖⠒⠒⠒⠒⠒⣒⠒⠒⠒⠒⠒⠒⠲⠤⠤⠤⢄⣀⡀⠀ ⠀⠀⠀⢀⣀⣀⣀⠀⠀⣀⡠⠤⠔⠒⢒⡞⠁⠀⣸⠦⠔⠀⠀⠀⠒⢿⣆⠀⠀⢧⠀⠀⠀⠀⠀⣈⣧⡤⠤⠤⠤⢄⡀⠀⠀⠀⠀⠀⠈⠉ ⠄⠀⠀⠀⠀⠀⠀⠉⠉⠉⠒⠒⠤⣴⣋⡤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠠⠤⠗⠒⠊⠉⠉⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⢄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢤⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⣠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⢰⡶⠚⠉⠙⢦⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢑⠶⠤⢄⣀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⠴⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡰⠋⠀⠀⠀⢣⠀⢳⡀⠱⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠙⡄⠀⠠⠌⠽⠦⣄⠀⠀ ⠚⠉⠁⠀⠀⠀⠙⢲⢄⡀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⣴⡀⠀⠸⢇⠀⢳⣀⠀⠀⠀⠀⠀⠀⣀⡤⠚⠁⠀⠀⠀⠹⡀⠀⠀⠀⠀⠀⠙⠢ ⠀⠀⠀⠀⠀⠀⣠⠋⠀⠈⠑⠦⣀⠀⠀⠀⡼⠀⠀⠀⠉⠃⠀⠀⡀⠀⠀⢿⣤⣀⡀⠤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⠀⠀⠈⠓⠒⡾⠁⠀⠆⠀⠀⠀⠀⠈⠇⠀⠀⠘⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠃⠀⠀⠀⠀⠀⠀⠀⠀⢺⠃⢰⠀⠰⢡⠇⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⡀⠀⢤⣎⡮⣶⡟⠀⢸⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠨⣧⣬⣠⡂⢃⢠⠄⡀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⡌⠑⠉⠑⠈⠁⠀⣈⣿⠀⠀⠸⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣏⡈⠀⠀⠊⢀⠀⢋⡆⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀ ⠀⠀⠀⠀⡃⡭⠃⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠂⠈⠀⠑⣁⡀⠀⠀⠀⠀⠀⢣⠀⠀⠀
💙🇰🇵🇰🇵🐈‍⬛
yoo we're an osdd-1b sys friend us on discord!!! (bdly13) @osddwalker we like twd, cod, music, dbd etc looking for friends or psys ^_^

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⣿⣿⣿⡐⠂⠓⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣎⡀⠀⠀⢀⣀⣠⡄ ⣿⣿⣿⣷⠀⠀⠁⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣙⢁⢀⡴⡫⠁⠀⢹ ⣿⣿⣿⡇⠀⠀⠀⠀⢎⢻⣿⣿⣿⣿⣿⣿⡀⠉⠃⠉⢿⠛⢻⢴⡵⠃⠀⠀⠀⢸ ⣿⣿⣿⣧⢠⡄⠀⠀⢈⠁⠉⠉⠉⠛⠛⠛⠟⢚⣷⣶⣯⣦⣼⡏⠀⠀⠀⠀⠀⢸ ⣿⣿⣿⣿⠀⠈⠀⠀⠀⠤⠃⠀⠀⠀⠀⠀⠀⠈⠻⠿⣿⣿⣏⠀⠀⠀⠀⠀⢀⠆ ⣿⣿⣿⣧⠀⠀⠀⢀⣡⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠩⠿⣿⣷⡄⠀⠀⠀⡞⠀ ⣿⣿⠟⠁⠀⠀⢸⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣿⣿⣿⠃⠀⢀⣇⠀ ⣿⠏⠀⠀⠀⠀⠈⠛⠻⠿⠼⠁⠀⠀⠀⠀⠀⢸⣽⣿⣿⡏⡟⢻⣿⣿⣶⡿⠓⠒ ⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢀⠁⠈⠰⡄⠀⠁⠈⠉⠉⠁⠻⠿⢻⣿⣷⠀⠀ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠟⠀⢰⡶⠛⠁⠀⠀⠀⠀⠠⡀⠀⠘⢿⣿⡇⠀ ⣿⡆⠀⠀⠀⠀⠀⢠⣶⣀⣀⣀⣀⣶⡀⠀⠀⠀⠀⠀⠠⣀⠀⠙⠀⠀⠀⠉⠀⠀ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠛⠛⠓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣯⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⢦⠀⠀⠀⠀⠀⠀⠀ ⢀⡀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠐⡀⠀⠀⠀⠀⠀⠀ ⡆⠀⠀⠈⠙⠓⠶⣤⡀⠀⠀⣀⣠⣤⣴⠃⠀⠀⠀⠀⠡⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⢀⣨⣿⠟⠙⠉⠉⠉⢋⣳⣦⡒⣤⣄⢰⠀⠀⠀⠀⠀⠀ ⢰⠀⠀⠀⠀⡴⣫⡿⠾⢄⡀⡀⠤⢄⣾⣽⣶⡝⢸⣷⡤⠆⡀⠀⠀⠀⠀ ⠘⢄⠀⠀⣼⠅⠏⠾⠽⠖⠁⠿⢶⡟⠁⠉⠁⠀⠀⠈⢻⡙⣷⠄⠀⠀⠀ ⠀⠀⢣⢄⢿⡤⠀⣀⣠⠄⠀⠀⠨⠦⡀⠀⠁⠨⢓⣲⠶⠻⣚⡿⠭⢁⡀ ⠀⢠⣧⣣⣾⢖⣫⢯⣥⠂⠀⢠⠗⠉⠙⠢⠀⠀⠉⠓⠦⡍⣳⡼⣍⠒⠠ ⠀⠀⣻⣿⣾⢭⠖⠋⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠟⢿⣷⡤⠀ ⠔⠨⣺⣿⠟⠡⢆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠂⠀⠀⠀⠈⠂⡀ ⠀⠈⠈⠁⠀⠀⠈⠙⠛⠒⠀⠀⢴⢴⠦⡐⢒⠉⠵⠀⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠊⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⣆⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⣼⣿⡗⠀⠀⠀⠀ ⠀⠀⠀⣠⠟⠀⠘⠷⠶⠶⠶⠾⠉⢳⡄⠀⠀⠀⠀⠀⣧⣿⠀⠀⠀⠀⠀ ⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣤⣤⣤⣤⣤⣿⢿⣄⠀⠀⠀⠀ ⠀⠀⡇⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠙⣷⡴⠶⣦ ⠀⠀⢱⡀⠀⠉⠉⠀⠀⠀⠀⠛⠃⠀⢠⡟⠂⠀⠀⢀⣀⣠⣤⠿⠞⠛⠋ ⣠⠾⠋⠙⣶⣤⣤⣤⣤⣤⣀⣠⣤⣾⣿⠴⠶⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀ ⠛⠒⠛⠉⠉⠀⠀⠀⣴⠟⣣⡴⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡼⠋⠀⣀⠄⡂⠍⣀⣒⣒⠂⠀⠬⠤⠤⠬⠍⠉⠝⠲⣄⡀⠀⠀ ⠀⠀⠀⢀⡾⠁⠀⠊⢔⠕⠈⣀⣀⡀⠈⠆⠀⠀⠀⡍⠁⠀⠁⢂⠀⠈⣷⠀⠀ ⠀⠀⣠⣾⠥⠀⠀⣠⢠⣞⣿⣿⣿⣉⠳⣄⠀⠀⣀⣤⣶⣶⣶⡄⠀⠀⣘⢦⡀ ⢀⡞⡍⣠⠞⢋⡛⠶⠤⣤⠴⠚⠀⠈⠙⠁⠀⠀⢹⡏⠁⠀⣀⣠⠤⢤⡕⠱⣷ ⠘⡇⠇⣯⠤⢾⡙⠲⢤⣀⡀⠤⠀⢲⡖⣂⣀⠀⠀⢙⣶⣄⠈⠉⣸⡄⠠⣠⡿ ⠀⠹⣜⡪⠀⠈⢷⣦⣬⣏⠉⠛⠲⣮⣧⣁⣀⣀⠶⠞⢁⣀⣨⢶⢿⣧⠉⡼⠁ ⠀⠀⠈⢷⡀⠀⠀⠳⣌⡟⠻⠷⣶⣧⣀⣀⣹⣉⣉⣿⣉⣉⣇⣼⣾⣿⠀⡇⠀ ⠀⠀⠀⠈⢳⡄⠀⠀⠘⠳⣄⡀⡼⠈⠉⠛⡿⠿⠿⡿⠿⣿⢿⣿⣿⡇⠀⡇⠀ ⠀⠀⠀⠀⠀⠙⢦⣕⠠⣒⠌⡙⠓⠶⠤⣤⣧⣀⣸⣇⣴⣧⠾⠾⠋⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣭⣒⠩⠖⢠⣤⠄⠀⠀⠀⠀⠀⠠⠔⠁⡰⠀⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢤⣀⣀⠉⠉⠀⠀⠀⠀⠀⠁⠀⣠⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠒⠲⠶⠤⠴⠒⠚⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡼⢿⣆⠀⠀⠀⠀⠀⠀⣸⣆⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⣷⡟⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠟⠁⠀⠻⠷⠶⠶⠶⢦⣾⡁⠙⣧⡀⠀⠀⠀⠀⠀⠀⢸⡇⣿⡍⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⡄⠀⠀⣀⣀⡀⣸⡇⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠋⠉⠉⠉⠉⠙⠇⠈⠻⣦⠀⠀⠀⠀⠀ ⠀⠀⠀⢿⠀⠀⢴⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⠁⠀⠀⠀⠀⠀⠀⠀⢘⡿⠫⣩⣹⣷ ⠀⠀⠀⠘⣆⠀⠀⠈⠉⠁⠀⠀⠀⠀⠉⠉⠉⠀⠀⢠⣿⠈⠀⠀⠀⠀⣀⣀⣠⣤⡶⠷⠿⠛⠉⠁ ⠀⣀⣶⢟⠉⠳⢤⣀⣀⣀⣀⣀⣀⡀⠀⠀⣀⣠⣾⣿⣅⣴⣶⠾⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣏⣀⣴⡶⠶⠟⠛⠉⠉⠉⠛⣿⣿⠛⢛⣹⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣋⣠⢿⠿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠚⠉⠉⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠟⠋⠒⢦⡀⠀⠻⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢻⠃⠀⣶⠆⠀⣷⠖⠒⠢⣌⠉⠉⠒⠒⠂⢤⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠈⢧⠀⠀⠀⢸⢁⣤⡀⠀⠀⢳⡀⡀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡶⣦⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠙⠒⣶⣾⡄⠉⠁⠀⠀⢨⡇⣷⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣴⢻⣻⠿⠗⠛⠛⠉⠉⠉⠓⠒⠦⢤⣀⠀⠀⠠⠴⢿⡄⠙⠦⣤⣤⠤⠊⠐⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⡹⡄⣀⡤⠤⠤⠤⠤⢤⣀⡀⠀⠈⣿⣦⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠹⣿⠈⠻⣏⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢤⣿⢙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣆⠀⠀⠙⠲⠦⢤⣤⣀⣀⣀⣀⣠⣼⠛⣿⢹⡇⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⣴⡞⠓⠛⠀⠘⢿⣄⡀⠀⢀⣠⡾⠃⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠓⠦⣤⣀⣀⠀⠀⣨⣷⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⣿⠛⠿⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠉⠛⠦⣄⣀⣀⣀⣠⠴⠚⠁⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠞⠛⠛⠷⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⢋⠉⠛⠛⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⢶⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠙⣦⣀⠀⠀⠀⠀⢀⣤⠤⠼⠿⣦⡄⠀⠀⠀⠀⠀⣶⣦⠀⠀⠉⢻⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⣤⡶⢿⣿⣬⡓⠶⠤⣤⣾⣥⠆⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⢸⡇⠀⠀⠀⣿⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢦⡉⠻⠟⠳⡾⠛⠛⠿⣤⣇⣀⣀⣀⣤⠴⠞⠋⣁⣤⠞⠁⠀⠀⢀⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⣼⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣤⣄⣀⣀⣀⣀⣀⣤⣤⣤⡶⠾⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣷⣀⢀⣾⠿⠻⢶⣄⠀⠀⣠⣶⡿⠶⣄⣠⣾⣿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡿⣿⠿⣿⡿⢼⣿⣿⡿⣿⣎⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠉⠛⢛⣛⡉⠀⠀⠙⠛⠻⠛⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣧⣤⣴⠿⠿⣷⣤⡤⠴⠖⠳⣄⣀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣀⣟⠻⢦⣀⡀⠀⠀⠀⠀⣀⡈⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠉⡇⠀⠀⠛⠛⠛⠋⠉⠉⠀⠀⠀⠹⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠑⠪⠷⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣦⣼⠛⢦⣤⣄⡀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠲⠖⠛⠻⣿⡿⠛⠉⠉⠻⠷⣦⣽⠿⠿⠒⠚⠋⠉⠁⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠛⠁⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠀⠀ ⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀ ⠀⠀⠀⣰⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣄⠀⠀⠀⠀⠀⠀⢳⡀⠀ ⠀⠀⠀⣿⡾⢿⣀⢀⣀⣦⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣫⣿⡿⠟⠻⠶⠀⠀⠀⠀⠀⢳⠀ ⠀⠀⢀⣿⣧⡾⣿⣿⣿⣿⣿⡷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣧⠀⡀⠀⢀⣀⣀⢒⣤⣶⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⡾⠁⠙⣿⡈⠉⠙⣿⣿⣷⣬⡛⢿⣶⣶⣴⣶⣶⣶⣤⣤⠤⠾⣿⣿⣿⡿⠿⣿⠿⢿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣸⠃⠀⠀⢸⠃⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⠟⡉⠀⠀⠀⠈⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⣿⠀⠀⢀⡏⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠉⠠⠿⠟⠻⠟⠋⠉⢿⣿⣦⡀⢰⡀⠀⠀⠀⠀⠀⠀⠁ ⢀⣿⡆⢀⡾⠀⠀⠀⠀⣾⠏⢿⣿⣿⣿⣯⣙⢷⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣿⣻⢿⣷⣀⣷⣄⠀⠀⠀⠀⢸⠀ ⢸⠃⠠⣼⠃⠀⠀⣠⣾⡟⠀⠈⢿⣿⡿⠿⣿⣿⡿⠿⠿⠿⠷⣄⠈⠿⠛⠻⠶⢶⣄⣀⣀⡠⠈⢛⡿⠃⠈⢿⣿⣿⡿⠀⠀⠀⠀⠀⡀ ⠟⠀⠀⢻⣶⣶⣾⣿⡟⠁⠀⠀⢸⣿⢅⠀⠈⣿⡇⠀⠀⠀⠀⠀⣷⠂⠀⠀⠀⠀⠐⠋⠉⠉⠀⢸⠁⠀⠀⠀⢻⣿⠛⠀⠀⠀⠀⢀⠇ ⠀⠀⠀⠀⠹⣿⣿⠋⠀⠀⠀⠀⢸⣧⠀⠰⡀⢸⣷⣤⣤⡄⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢼⡇ ⠀⠀⠀⠀⠀⠙⢻⠄⠀⠀⠀⠀⣿⠉⠀⠀⠈⠓⢯⡉⠉⠉⢱⣶⠏⠙⠛⠚⠁⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠻⠄⠀⠀⠀⢀⣿⠀⢠⡄⠀⠀⠀⣁⠁⡀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡟⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠁⠀⠀⠠⠬⠦⠙⢌⠳⣄⠀⣠⠈⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢁⣙⣤⠒⠋⠀⠀⠈⢇⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⣀⣈⡆⠈⠛⢋⡉⠉⠉⠉⠉⠈⠉⠒⠒⠤⣄⡀⠀⣠⠔⣺⠟⠽⠛⡁⠀⠀⠀⠀⠈⠀⠀ ⠀⠀⠀⠈⠓⠢⢤⡤⢴⡏⠀⠀⣁⢀⡠⠔⠋⠁⠀⢀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⢤⠞⠁⠀⠀⠈⠉⠉⣑⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡖⣾⠇⠀⡰⠋⡾⠃⠀⢀⠀⡴⢁⡴⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⡀⠀⠀⠈⢢⣤⠀⠀⠀⠀⣿⠄⠀⠀⠀⠰⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⣿⣠⠊⣠⠞⠁⠀⡰⠃⡜⢀⢾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⡜⢀⠀⠀⠀⠀⡀⠳⣄⠀⠀⢈⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠀⣰⠛⠁⡰⢁⠀⠀⢠⠃⠈⢀⠎⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⡇⠘⠀⠀⠀⠀⢣⠀⠈⢢⣰⣼⡏⠀⠀⠀⠀⠄ ⠀⠀⠀⠀⠀⢀⠜⠁⣠⡾⠁⡞⠀⢠⡏⠀⢀⠎⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⢳⢾⡄⠀⢠⠀⢻⡇⠀⠀⠁⠘⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡴⠋⣠⠟⢡⠃⡸⠁⢠⠋⠀⢠⡞⢀⣀⣼⠀⠀⠀⠀⠀⠀⠀⢀⡿⠛⠲⢄⣸⢸⣇⠀⠈⡆⠀⣿⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀ ⠀⠀⢠⢞⠟⣱⠋⠀⡎⢀⡇⢠⠃⣀⢴⣾⠋⠉⠁⠈⣇⠀⠀⠀⠀⠀⣶⡜⠀⠀⠀⠀⠙⣾⡿⡄⠀⢡⠀⢻⡇⠀⠀⠀⠀⠇⠠⠀⠀⠀ ⠀⠀⣿⠏⢰⡟⠀⢠⣇⡞⡇⡎⠉⠀⠀⠉⠃⠀⠀⠑⠚⣦⡀⠀⠀⣰⣿⠁⠀⠄⠒⠀⠀⢻⡇⢻⠀⢸⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠋⠀⢻⡇⠀⠘⣿⢠⣷⡁⠀⢀⣀⣀⣀⣀⣠⣄⡀⠈⠓⢄⣠⡃⡏⠀⠠⠤⣄⣀⠀⠈⢿⠈⣆⢸⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢀⣤ ⠀⠀⠀⠀⢸⠁⠀⠀⠉⡸⣨⣵⣾⠟⠉⠉⠈⠉⠉⠛⠃⠀⠀⠀⠈⠈⠃⠀⠴⢶⡚⠷⠿⢧⣄⣧⣸⣼⡆⠀⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⡏⠀⠀⢀⠆⡇⠙⠷⢬⠆⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢙⣦⡴⠒⢺⣿⣿⣇⣇⠀⠀⢠⠃⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⢸⠀⠀⠀⡎⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⡈⠁⠐⠛⣿⠀⢀⠎⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⢸⢁⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⢀⡞⠀⠀⠀⣾⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⣿⣾⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⢀⡜⠀⠀⠀⠀⠛⠀⠀⠀⣾⣿ ⠀⠀⢸⠀⠀⠀⣿⣇⢹⠀⠀⠀⠀⠀⠀⠀⠀⢰⡎⢱⣶⣶⣦⣤⣝⠢⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⢠⠞⠀⠀⠘⠀⠀⠐⢂⠀⠀⣿⣿ ⠀⢰⣿⡀⠀⣼⡿⣿⢾⡄⠀⠀⠀⠀⠀⠀⠀⢸⣷⣤⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⣠⠋⡰⠋⠀⠀⠀⠀⠀⠀⣀⡇⠀⠀⠹⡇ ⠀⡾⢻⣿⠸⣿⣧⣿⠀⢳⡀⠀⠀⢀⣠⣄⠀⠸⣿⣿⡿⠿⠿⠿⠿⣿⡏⠀⠀⠀⠀⠀⢀⡞⠁⠞⡱⠋⠳⠄⠀⣠⠴⣺⠋⠀⢠⠧⠀⠀ ⠀⠇⢸⣿⠀⢹⡟⢻⡇⠀⣷⡀⠰⡋⠀⠀⡅⠀⢿⡋⠀⠀⠀⢀⣠⠞⠀⠀⠀⠀⢀⡴⢫⠄⠀⠀⠀⣀⡝⢃⣼⣡⠞⠁⠀⢠⡏⠀⠀⠀ ⠀⠀⠀⢿⣆⣺⡇⠈⣧⣠⡿⣿⣆⠈⠒⠒⠁⠀⠀⠛⠻⢿⠟⠛⠉⠀⠀⠀⢀⡴⢋⣴⠃⠀⠀⠀⢸⣈⠃⣾⠏⡼⠀⠀⢢⣾⠀⠀⠀⠀ ⠀⠀⠀⠈⢳⡀⢇⢠⣿⠉⠀⠀⠈⠳⣄⠀⠈⠀⠀⠀⠀⠀⢷⠀⠀⠀⣀⠴⢋⡴⢻⣿⠖⣺⣿⡿⠈⠀⣼⢃⡞⠀⠀⢀⡾⡟⣆⠀⠤⠤ ⠀⠀⠀⠉⠙⣷⣼⡿⢅⡀⠀⠀⠀⣀⣾⣿⡦⡀⠀⠀⠀⠀⢸⣀⣤⣺⠥⠚⣁⣠⣾⠃⠀⣯⡍⠀⠀⣼⣿⡞⠀⢠⣿⢛⡇⠘⢾⡆⠀⠀ ⠠⠀⠀⠀⠀⠘⠿⡷⠄⠈⠓⢴⣿⣿⣿⣿⣷⣌⠳⠤⢀⡀⠀⠩⠙⠒⠋⠉⠁⡼⠃⠀⠀⠿⠧⢀⣾⣟⣿⠃⣰⣿⣏⣸⠧⠜⠓⠛⠒⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣤⣶⣤⣤⣶⣶⣦⣤⣤⣴⣾⠃⠀⠀⠀⢀⣠⣿⣿⣿⢃⡼⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣰⠟⠀⠀⠀⢀⣤⣭⣄⠙⢦⠙⢦⡀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠓⠊⠀⠋⣃⡤⠖⠛⠀⠀⠀⠘⢷⠀⠀⠀ ⠠⣀⠆⠉⠐⠀⠀⠀⠀⠀⠀⠀⢠⠇⠰⠈⠁⢀⠄⠀⠀⠀⠀⠀⢳⡀⠙⢧⣴⠯⠤⠔⠒⠒⠶⠶⠶⠤⠤⣤⣄⣀⠐⠂⠀⢀⠀⠀⢐⣠⢴⣾⠟⣿⡦⠆⠒⠀⠀⠀⠀⠘⡆⠀⠀ ⠀⠀⠀⠀⢰⣈⠀⠀⠀⠀⠀⢠⣿⠁⠀⠠⠔⠀⠀⠀⢀⣠⠴⠖⠒⠃⠀⠀⢀⣴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢦⣀⣠⠶⢋⡴⠛⠁⠋⠁⣠⣅⣀⣀⡀⠀⠀⠀⢰⠀⠀ ⠀⠀⠂⠀⠀⠈⠛⠒⠤⠤⢴⣾⠇⠀⠀⠠⣤⢄⣠⠖⠋⠀⠀⠀⠀⣀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠄⠀⠈⠐⣰⠋⠀⠀⠀⠀⠀⠀⠀⢀⣠⠍⠀⠀⠀⠀⠃⠀ ⠀⠀⠠⠄⠀⠀⠀⠀⠀⢰⢲⣿⠀⠀⢀⡼⠇⣾⠕⠀⠀⠀⠀⢀⡞⠁⣰⢿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⡀⠀⠀⠀⠈⢷⣰⡀⠀⠀⠀⠀⢰⣿⣅⠀⠀⠀⠀⠀⢰⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣼⣹⢀⡴⠋⢀⡼⠃⠀⠀⢠⠞⢠⠟⠀⣴⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠁⠀⣼⠁⠀⠀⠀⠀⠀⠁⠹⣄⡀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠘⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣷⠟⠀⣰⠏⠀⠀⠀⢠⠏⠀⡎⠀⡞⢱⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⡇⢠⠀⠀⠀⠀⠀⢧⠀⠉⠳⡄⠀⡀⠸⣼⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠡⢀⡴⠃⡠⠀⠀⢀⡏⠀⠀⢀⡞⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⡇⡄⡄⠀⠀⠀⠀⡈⣆⠀⠀⠘⢆⢹⢆⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⣠⡿⠁⣰⠇⠀⢀⣾⠀⠀⠀⡜⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⡇⣿⡇⠀⠀⢠⠀⠸⡽⡆⠀⠀⠈⠃⠘⢿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⠏⢀⣴⠞⢹⠃⢠⡟⠀⢀⡞⢸⠀⢀⣼⠁⠉⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣾⠯⣄⡀⠀⢧⢸⣇⠀⠀⠘⡄⠀⢻⣷⠀⠀⠀⠀⠀⠰⣿⡄⠀⠀⠈⠰⠀ ⠀⠀⢀⠐⢠⡞⣥⢠⡾⠃⢀⡏⠀⡼⠀⢀⡟⠀⢸⠀⣸⣃⣤⠶⠚⢻⡄⠀⠀⠀⠀⠀⠀⠀⣐⢀⡞⠁⠀⠀⠙⠳⣼⠸⣽⡆⠀⠀⢿⠀⠈⣿⡄⠀⠀⠀⠀⠀⢹⠙⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⢯⠞⢡⡾⠁⠀⣸⠁⣠⡇⠀⡞⢀⡠⠾⣯⣿⠁⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⢠⣧⡾⠁⠀⠀⠀⠀⠀⠘⡷⡏⢷⠀⠀⢸⡆⠀⣯⣧⠀⠀⠀⠀⠀⠈⠀⠰⠀⡌⠀⠀ ⠀⠀⡼⣷⠏⢀⣿⡇⠀⠀⣯⢠⠟⡇⣰⠋⠁⠀⠀⠀⠙⠃⠀⠈⠉⠙⠚⢷⡀⠀⠀⠀⠀⣾⣷⠃⠀⢀⡴⠶⠦⠤⠀⢻⢧⠘⡗⠀⠸⡇⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠁ ⠀⠌⢜⡟⠀⢸⣺⠇⠀⠀⣿⡞⢀⡇⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⢦⡀⠀⣸⢻⡟⠀⠀⣀⣀⠀⠀⠀⠀⠈⢿⡆⢹⡄⠀⡇⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⣀ ⠈⠂⠌⠀⠀⠈⣿⠂⠀⠀⠻⡇⣼⠹⢷⣀⣠⣼⣿⡶⠶⠲⠾⢿⣭⣵⡖⠀⠀⠀⠙⠒⠿⢼⠁⠀⠀⣉⣉⢹⣖⡒⢤⡄⠈⢷⠀⢱⠀⡇⠀⠘⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⠀⡀⠀⠀⠀⢠⡇⠀⠀⠀⠀⢠⡏⣰⣶⠿⡿⠁⠀⠀⣀⡀⠀⠀⠘⠉⠁⠀⠀⠀⠀⠀⠀⠂⠉⠀⠚⠛⢿⣉⠙⠛⠛⠻⣶⣬⣳⣜⣿⢹⠀⠀⠁⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⣿⣿ ⢀⠀⠀⠀⠀⡾⠀⠀⠀⠀⡖⢰⠁⠙⠿⠦⣨⠇⠀⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣈⣳⣦⠖⠒⠲⣿⣿⣷⣿⢸⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⢹⣿ ⠀⠀⠀⠀⢠⠃⠀⠀⠀⢰⠃⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢶⠰⠛⢁⣈⣿⠿⡇⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿ ⠀⠀⠀⠀⠘⠀⠀⠀⢀⡏⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠀⠀⠀⠀⣼⠃⠀⢠⠏⠀⠀⠀⢠⡇⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⡀⠀⠀⠀⣸⠃⡾⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⢠⠏⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⣿⣿ ⠀⠀⠀⠀⠁⠀⠀⠀⡏⣾⣧⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠤⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⢠⠏⠀⠀⢀⠀⢀⡉⠁⠀⠀⠀⢸⣿⣿ ⠀⠀⢀⢸⠀⠀⠀⠀⣿⣿⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠚⢡⣤⣤⣤⣀⣈⡙⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⣰⠏⠀⠀⢀⡆⠀⠈⠀⠴⡄⠀⠀⢸⣿⣿ ⠀⠀⣸⣼⠀⠀⠀⢘⣿⣿⣄⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⡁⠘⣿⣿⣿⣿⣿⣿⣷⣬⡳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠁⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠸⣿⡟ ⠀⢠⣿⣿⣰⠀⣼⣿⡟⢸⡏⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⣠⡞⢁⣀⠀⠀⠀⠀⠀⠀⢀⣤⡼⠀⠀⣠⠀⠹⠇ ⠀⢸⠇⣿⣯⠀⡿⣿⣇⣼⡇⠀⢷⡀⠀⠀⠀⠀⣠⡤⣄⠀⠀⣿⣿⣿⣿⠿⠿⣿⡿⠿⢿⣿⠏⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠐⠋⣴⠋⠜⠦⠄⠀⢠⡤⠖⣫⠟⠁⠀⢰⠧⠂⠀⠀ ⠀⡜⠀⢻⣿⠀⠁⣿⡿⢻⣷⠀⠀⢷⡀⠀⢰⠊⠁⠀⠀⣷⠀⢻⣿⠋⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⢀⡴⢋⡀⠀⠀⠀⠀⠀⢘⠻⠂⣠⠏⣠⠞⠁⠀⠀⢠⡏⠂⠀⠀⡀ ⠀⠀⠀⠘⣾⡆⢠⢹⡁⠈⣿⠀⠀⣾⣿⣄⠈⠳⣄⣀⣠⠇⠀⠀⠛⣶⠤⠤⠤⢴⣲⠾⡏⠀⠀⠀⠀⠀⢀⡴⠏⣠⡟⠀⠀⠀⠀⢰⢚⢺⠀⣸⣿⠟⡅⠀⠀⣠⢆⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⡤⠺⡇⠀⣿⡧⣼⠏⠻⠻⣧⡀⠀⠀⠀⢀⡀⠀⠀⠈⠉⠙⢯⢁⠀⠀⠀⠀⠀⠀⢀⡴⠋⣀⣼⡏⠀⢀⣀⣤⡀⢺⠶⠀⢠⡿⠁⡼⠁⠀⢰⢩⡾⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣧⠀⢧⢀⣿⣧⠀⠀⠀⠀⠀⠙⣦⣀⠀⠀⠃⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⣠⡴⠋⣠⠴⢋⣿⡾⠛⡭⡽⣫⡏⠀⠀⢠⡿⢡⡾⠁⠀⢠⢀⣾⢷⡹⣆⠀⠰⠶⡦ ⠀⢠⠄⠒⠒⠚⢯⣧⢹⣿⣏⠁⠀⠀⠀⠀⠀⠀⣸⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣿⠀⢀⡤⢞⣡⠴⠚⠁⣀⣾⡟⠀⠀⣛⠛⠁⠀⠀⢠⣿⢣⡟⠀⠀⣰⢣⠟⢿⠀⠳⡝⣄⠀⠀⠀ ⠀⠈⢂⠀⠀⠀⠈⢿⣷⣷⡈⠉⠲⢦⣀⣰⣶⣾⣿⣿⣿⣏⡁⣦⣀⠀⠀⠀⠀⠒⠺⢿⣚⣩⠤⠶⠒⠉⣹⡟⠀⠀⠀⣿⣷⡀⠀⣰⣿⢧⣿⠇⠀⣼⣷⡏⠀⡿⠀⣶⣙⣿⣤⣀⣀ ⠙⠋⠁⠀⠀⠀⠀⠀⠙⠛⠋⠁⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⠀⠉⠛⠓⠒⠚⠀⠉⠁⠀⠀⠀⠀⠀⣰⡏⠀⠀⠀⠀⠛⠉⢃⣴⣿⢯⣾⠏⢀⡼⣽⣧⡧⠔⠛⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣿⣳⣿⣿⣿⣧⢶⣷⣦⣵⣾⣷⣾⣝⣶⣶⣶⣶⣿⢟⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⠏⣠⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡰⡀⠀⠀⣠⡀⠀⠀⠀⡰⡶⠀⠀⠀ ⠀⢀⠎⠀⠈⠉⠉⠁⠱⣄⣀⣀⡅⣇⠀⠀⠀ ⠀⢸⠀⠤⠄⠀⠀⠀⠀⡇⠀⠀⠀⠈⣗⡶⠆ ⣠⣊⡱⠤⠤⢤⡤⢤⡾⠕⠒⠊⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠓⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢠⣄⣀⡠⠀⠀⠀⠀⠀⣀⣄⡴⢈⡦⠀⠀⠀ ⠀⠘⠓⠿⠷⠿⡿⠖⢴⣮⡴⠚⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣆⡁⠀⠀⠹⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠈⠹⣿⣦⠀⠀⠀⠀ ⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀ ⢿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣧⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡾⢷⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠟⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⢿⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠈⢿⣄⣤⡶⠞⠛⠛⠛⠛⠛⠷⠶⠶⣦⣤⡿⠁⠀⠀⠀⠘⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠈⠉⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⣄⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⣸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡄⠀⠀⢹⣆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⢀⣴⠟⠀⠙⢷⣄⣀⣀⡀⠀⠀⢀⣀⣀⣼⠏⠈⠻⣦⣄⡀⢻⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠛⠛⠛⠻⣦⡀⠀⢀⣽⡿⠟⠛⠀⠀⠈⠉⠛⠻⣦⡄⠀⣨⡽⠟⠻⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠘⢿⣄⡿⠁⠀⠀⣤⠀⠀⠀⢠⡄⠀⠈⣿⣴⡟⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⠻⠷⠿⠷⠾⠃⠀⠀⢸⣿⠁⠀⠀⢰⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⣠⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠟⠛⠙⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠾⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⠁⠀⢀⣴⠟⠋⠛⠷⣦⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣴⠾⠿⣿⡁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠻⣿⡉⠉⠉⠹⣿⡉⠉⠉⠉⠻⣦⡀⠀⠈⢻⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠘⣷⠀⠀⠀⠀⠈⢻⡆⠀⠀⢹⣧⠀⠀ ⠀⣀⣀⣀⣀⠀⠀⢀⣿⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢈⡇⠀⠀⠀⣹⡇⠀⠀⠀⠀⢸⡿⠀⠀⠀⣿⠀⠀ ⣼⠏⠁⠈⠉⠛⠛⠛⠁⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⢀⡿⠀⠀⠀⠀⠀⢸⠇⠀⠀⣼⠏⠀⠀ ⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⢰⣟⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⢸⡄⠀⣰⡟⠀⠀⠀ ⠀⠈⠙⠷⣦⣄⣀⠀⢀⣀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠶⠶⠟⠁⠀⠀⠀⠀⠀⠀⠈⠿⡶⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⠿⣟⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣏⡏⠀⠀⠀⢣⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣟⠧⠤⠤⠔⠋⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⡀⢀⣶⠤⠒⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠈⢿⣆⣠⣤⣤⣤⣤⣴⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⢿⢿⠀⠀⠀⢀⣀⣀⠘⣿⠋⠁⠀⠙⢇⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⢇⡞⠘⣧⠀⢖⡭⠞⢛⡄⠘⣆⠀⠀⠀⠈⢧⠀⠀⠀⠙⢿⣄⠀⠀⠀⠀ ⠀⠀⣠⣿⣛⣥⠤⠤⢿⡄⠀⠀⠈⠉⠀⠀⠹⡄⠀⠀⠀⠈⢧⠀⠀⠀⠈⠻⣦⠀⠀⠀ ⠀⣼⡟⡱⠛⠙⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠹⡀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠹⣧⡀⠀ ⢸⡏⢠⠃⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠸⣷⡀ ⠸⣧⠘⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⣿⠇ ⠀⣿⡄⢳⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⢹⡇⠘⣇⠀⠀⠀⠀⠀⠀⠰⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⣼⡟⠀⠀ ⠀⢸⡇⠀⢹⡆⠀⠀⠀⠀⠀⠀⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢳⣼⠟⠀⠀⠀ ⠀⠸⣧⣀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⢃⠀⢀⣴⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⢷⣄⢳⡀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⣠⡿⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⣦⣄⣀⣀⣠⣤⠾⠷⣦⣤⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠙⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⢀⡤⢦⠀⢈⣿⣌⣽⣷⣶⢶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠛⠁⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠸⣁⣴⡶⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠛⠶⣦⣶⠚⣩⡾⠋⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣴⠾⠋⠁⠀⠀⠀⣀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢧⣀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠟⠁⠀⠀⠀⢀⣠⡼⠋⠀⠀⠀⠀⢸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡚⡝⣇⣀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⣡⣴⣶⣾⣻⠿⢯⣍⡀⠀⠀⠀⠀⠀⠀⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣆⣽⠃⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣵⣾⣿⡿⠛⢿⣿⣷⣦⠈⠻⣦⡀⠀⠀⠀⠀⠀⠈⢙⣳⣶⠶⣶⣤⣤⣄⣀⠀⠀⢻⡅⠀⢰⡇⠀⠀⢀⣤⡄⣀⣤⣦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⣯⣿⣿⣿⣿⣷⣤⣾⣿⡿⣿⣧⠀⠘⣧⠀⠀⠀⢀⣤⣾⣿⣿⣶⣦⣄⡈⠉⢻⣭⡉⠀⠀⢿⡀⢸⠃⠀⠀⢸⡏⣿⣿⣿⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⡟⡾⣿⣿⣿⣿⣿⣿⡿⠟⠀⢸⣿⠀⠀⣿⠀⢀⣴⣿⣿⣿⠟⠛⣿⣿⣿⣿⣦⡀⠙⣷⠀⠀⠘⣧⡟⠀⠀⠀⠘⣷⣜⣽⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⢠⡟⠀⡇⠸⣿⣿⣇⠀⠀⠀⣀⣴⡿⠋⠀⣰⡏⢀⡾⠁⣿⣿⣿⣶⣴⣿⣿⠿⠁⠹⣿⡀⢸⣧⠀⠀⢹⠇⠀⠀⠀⠀⠸⡿⠋⠀⠀⠀⠀ ⠀⠀⢀⣀⠀⢸⠃⠀⢷⠀⠈⠻⠿⠿⠿⠛⠋⠉⠀⠀⣰⡟⠁⣼⠇⠘⣿⣿⡿⠛⠿⠛⠁⠀⠀⣰⣿⠁⠀⣿⡄⠀⢸⡀⠀⠀⠀⠀⣀⣁⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠉⢻⢦⡀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⣀⡾⠋⠀⠀⢹⡇⠀⢻⣿⣿⣄⣀⣀⣀⣤⣾⡿⠃⠀⠀⢹⡇⠀⢸⡇⠀⠀⢠⠞⠋⣉⡽⠃⠀⠀⠀ ⠀⢀⣀⣠⠤⣼⣄⠙⠒⠛⠛⠶⣤⡤⢤⠤⠴⠚⠋⠀⠀⠀⠀⠈⣷⡀⠀⠙⠿⣿⣿⠿⠿⠛⠁⠀⠀⠀⠀⣾⡇⠀⢸⡇⠀⢰⡇⠀⢰⠋⠀⠀⠀⠀⠀ ⠈⠉⢁⡠⠔⢻⣇⠀⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⢀⣀⣀⠀⠀⠀⠘⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠀⠀⣸⠁⠀⠘⢧⠀⠈⢧⡀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠀⢿⡆⠀⠀⠀⠀⢠⠾⠃⠀⠀⠀⠻⠿⠟⠀⠀⠀⠀⠀⠙⢳⣦⣤⣀⣀⣤⣤⣤⡴⠞⠉⠀⣀⡤⢤⣿⣀⠀⠀⠈⠳⣄⠀⠱⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⢻⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠉⠉⠉⠉⠁⠀⠀⠉⠻⢧⣐⠊⠁⠀⣼⠇⠀⠀⠀⠀⠀⠙⣆⠀⠙⢦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠈⠓⠒⠒⠋⠳⢤⣀⠀⠀⢀⣼⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢭⣿⠿⣤⡀⠀⠀⠀⠀⠀⠘⢧⠀⠈⢧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠛⢦⡀⠉⠳⠄⠀⠀⠀⠀⠈⡇⠀⠈⣇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠞⠋⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⣀⡟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠲⠤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⣀⣀⣠⡤⠶⠛⠉⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⣠⠶⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠉⠻⣯⣛⡿⠿⠿⣿⡛⠛⠉⠁⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⣰⠞⠁⠀⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠈⣿⠀⠀⠀⠘⣷⠒⠒⠓⠛⠛⠛⠛⠛⠛⠛⣿⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡶⢦⡤⠖⣯⣀⣀⣀⣤⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⢧⠀⠀⠹⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣸⡇⠀⠈⠉⠉⠁⠀⠈⠛⢷⣦⣤⣀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⢹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠷⣶⣤⣀⠀⣿⡄⠀⠀⠀⠀⢀⡼⠁⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⢻⣇⣀⣀⣴⠶⠋⠀⠀⠀⣠⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣟⠉⠁⠀⠀⢀⣀⠤⠊⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣀⠴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣦⣀⣀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣴⠞⠛⣛⡛⠿⡜⢷⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠱⣶⣦⣼⣿⡇⠀⠀⠻⠿⠄⠈⠦⢀⣘⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⡘⠰⣿⣿⠟⠀⠠⢞⡵⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⡷⠶⠄⠐⠊⠀⠀⠀⣸⢀⡏⠀⢀⣴⣶⡄⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢀⢀⢄⠇⠤⢰⣿⣿⣿⣿⡆⠀ ⠀⠀⠀⠀⠀⠈⠙⠿⠿⠦⣄⣀⠀⣀⣀⠤⠐⠀⠁⢢⣡⣾⣟⣿⣿⣿⠇⠀ ⠀⠀⠀⠀⢀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠉⠈⠀⠀⠀ ⠀⢀⣀⣤⣿⣿⣿⠟⠉⠀⠀⢸⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠛⠿⠿⠿⠛⠁⠀⠀⠀⠀⣿⣿⡿⠉⠈⠙⠛⣿⣿⣿⡇⣠⣤⣶⣤⡀ ⣤⣤⣤⣀⡀⢀⣾⣿⣿⣶⣶⣾⣿⣿⡇⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡇ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡿⠟⠀ ⠀⠀⠉⠉⠉⠸⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠻⠿⠿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠤⠤⠄⠀⠀⠀⠀
⠀ ⠀⠀⠀⠀⣾⣿⣿⣷⣄ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣴⣶⣶⣶⣄ ⠀⠀⠀⣀⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⠀⠀⢇⠠⣏⡖⠒⣿⣿⣿⣿⣿⣿⣿⣧⡀ ⠀⠀⢀⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⢸⣿⣿⡿⢋⠁⠀⠀⠀⠀⠉⡙⢿⣿⣿⡇ ⠀⠀⠘⣿⣿⠀⣿⠇⠀⢀⠀⠀⠘⣿⠀⣿⡿⠁ ⠀⠀⠀⠈⠙⠷⠤⣀⣀⣐⣂⣀⣠⠤⠾⠋⠁ ⠀⠀
⠀⠀⠴⣖⠢⡀⠀⢀⠔⠢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⠀⡸⠀⠈⠛⠷⠶⠦⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⠀⣀⡀⠀⠀⠀⠀⣠⣵⡀⠀⠀⠀⠀⠀⠀⠀ ⠠⠃⠀⣼⢫⢹⠄⠀⡀⠘⣄⡨⡇⠀⠀⠀⠀⠀⠀⠀ ⠃⠀⠀⠈⠁⠁⠤⢤⡟⡿⠭⣑⠇⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⢹⠀⠀⡆⠀⡖⢦⢰⠀ ⢠⠀⠀⠀⠀⠀⠀⡰⠔⠀⢸⢸⠀⠀⠓⠂⠓⠚⠘⠂ ⠸⠀⠀⠀⠀⠀⠈⠳⣐⣀⡾⠎⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⡶⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⢷⠀⠀⠀⠀ ⠀⠀⢸⠌⠢⣙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢎⠎⠀⢸⠀⠀⠀⠀ ⠀⠀⠸⡖⠀⠈⠻⡳⣄⣀⣀⣤⢶⣴⠤⠴⠶⠶⢶⠤⡴⣣⢎⡀⠤⡝⠀⠀⠀⠀ ⠀⠀⠀⢩⠄⠀⠀⠑⡌⠢⣀⣁⣀⣀⣀⡠⠤⠤⢰⣾⠞⢁⡀⠫⡽⠁⠀⠀⠀⠀ ⠀⠀⠀⠘⡦⠂⣤⣤⣼⣦⣤⣁⣀⡀⠀⢰⡤⡴⠟⣿⣿⡟⢷⣾⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⢶⡇⢸⣶⣷⣦⡉⢸⡗⠚⠋⢷⣡⣾⣿⣿⣿⣸⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⣧⣘⣿⣿⣿⣻⣾⡷⠀⠀⠾⠗⠒⠛⠋⠉⠁⣆⡠⠔⠚⠀⠀⠀ ⠀⠀⠀⠦⢰⣄⡀⣀⡀⠀⠀⢀⠰⣦⡤⢤⣾⠃⠠⣀⣠⠖⠉⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⣰⣛⣆⣀⣉⣽⠶⣾⠀⠈⢻⢩⠇⠀⠀⡞⣭⡭⢭⣽⣁⠀⠀⠀⠀⠀ ⠀⠀⣀⣴⠁⠀⣿⡤⠔⢺⣯⣤⣷⣶⣾⣾⣿⣿⣿⣿⡟⠀⣤⣿⡄⠈⠙⠀⠀⠀ ⠠⠞⠁⡇⠀⠘⢩⣷⡀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠠⣴⣿⠮⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠀⠀⠘⢿⣿⣵⠀⠘⢿⣿⣿⣿⣿⣿⡿⠁⠀⣿⡘⠂⠀⠑⢄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠣⡀⠈⣿⣿⠀⠀⢻⡿⣿⣿⣿⠃⠀⢶⣿⠃⠀⠀⣀⠈⢂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢆⢿⢻⣿⣆⢠⢙⠛⠛⢣⣀⣿⣟⠙⠀⡠⠊⠁⠀⠈⢆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢌⡙⠻⡿⠿⠷⢖⢾⡟⠇⢁⠴⠋⠀⠀⠀⠀⠀⢸⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣄⣄⣄⣀⣀⣀⣀⣠⣠⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⠿⣿⣷⣶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⢀⣀⣤⣀⣀⣀⣀⣀⣠⣄⣀⣀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣴⡿⠟⠛⢻⣟⠛⠛⠛⠛⠛⠛⠿⠿⣷⣶⣦⣤⣄⡀⠀⠀⠀⠀⠉⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡿⢿⡆⠀⠀⠀⠀⠀⣾⠀⠀⢰⡟⠀⠀⣰⡿⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⣷⣦⡀⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⣿⠁⢸⣧⠀⠀⠀⠀⠀⣿⠀⠀⢸⠁⠀⣴⡿⠁⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⢠⣾⡿⢿⣷⠀ ⠀⠀⢠⡏⠀⢸⡟⠀⠀⠀⣀⣀⣿⣀⣀⣸⡀⢰⡿⠁⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠈⣿⠀⠀⠀⠀⣰⣿⠋⠀⠀⢹⡆ ⠀⠀⢸⡇⢀⣴⣿⡿⠿⠿⠿⠛⠛⠛⠻⠿⢿⣿⣤⡄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⣻⠀⠀⠀⣰⡿⠁⠀⠀⠀⣸⡇ ⠀⠀⣼⠇⠘⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠃⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⣹⣀⣠⣾⡟⠁⠀⠀⠀⢠⣿⠀ ⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⢀⣿⠙⠛⠉⠀⠀⠀⠀⣠⣿⠃⠀ ⢀⣿⠃⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡇⠀⠀⢸⣯⡀⠀⠀⠀⣀⣤⣾⠿⠃⠀⠀ ⢸⠇⠀⠿⡇⠀⠀⣤⢄⡀⢤⡄⠀⠀⠀⠀⠀⠀⣤⣤⡀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⢀⣿⠻⢿⣶⡾⠿⠿⠛⠁⠀⠀⠀⠀ ⢸⡀⠀⠀⠀⠀⠀⢿⡿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠙⠋⠁⠀⢀⣼⣷⣤⣀⡀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⠃⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢿⣍⣛⡛⠿⢿⣷⣶⣶⣿⣿⠿⠛⠋⢀⣀⠀⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠻⢿⣶⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣾⠟⢉⣼⠟⠻⢿⣶⠀⠀⠀⠀⠀⢠⣶⡿⠿⠛⢿⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠛⠻⠿⢿⣿⡿⠿⢿⣿⡿⠿⠟⠛⠉⠀⣠⣾⠏⠀⠀⣰⣿⠀⠀⠀⠀⠀⠀⢻⣧⡀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠀⠀⣸⣿⣿⠿⠿⠿⠿⣿⡿⠋⠀⣠⣾⡿⠿⢿⣿⣿⡿⠿⢿⡿⠿⣷⣆⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⣡⣴⣶⡿⠟⠋⠁⠀⠀⢀⣼⠟⠁⣠⣾⠟⠉⠀⠀⠀⠀⢻⣧⠀⠘⣿⠀⠈⠻⣷⣄⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⢸⣿⣶⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⢻⡇⠀⠀⠈⠻⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⠇⠀⠀⠀⠀⠈⠻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⠎⠀⠀⠒⠘⠅⠠⠔⠡⠤⠤⠀⢀⡀⠀⠀⢉⢡⢵⠊⠀⠀⢡⠀ ⠀⠀⠑⠠⠤⡜⠀⡠⡠⠐⠈⢉⢀⠎⠀⠀⠀⠀⠀⡀⠁⠊⡔⠁⠀⠁⡰⠀⠀⠀ ⠀⠀⠀⠀⢠⣇⠔⡕⠁⡠⡐⣡⠋⠀⠀⠀⠀⠀⠊⡰⠀⠀⢈⠢⡀⠈⢃⠀⠀⠁ ⠀⠀⠀⢀⠜⢁⢎⠀⢠⠁⡐⢱⠀⠀⠀⠀⠀⢀⠔⠁⡅⠀⠀⡆⠈⠔⢟⠀⠀⠀ ⠀⠀⣠⢃⠖⡍⡌⡠⢹⢰⣁⠼⠀⠀⠀⠀⢐⠟⠠⢰⣧⠀⠆⢹⠀⠀⠘⡆⠀⠀ ⠀⣼⢪⡏⢠⡰⢠⠓⠈⠣⠀⠀⢧⠀⠀⣸⠆⠀⠄⠈⣏⡆⢰⢸⡇⠀⠀⠁⠀⠀ ⠀⠃⢘⠅⠘⢧⠦⣠⠤⠤⠤⢦⠀⠑⠠⢽⠀⣒⣆⣤⡘⡘⣸⠀⠇⠀⠀⠀⠀⣴ ⠀⠀⡈⠀⢠⡈⠛⠹⠀⠁⠀⠀⠀⠀⠀⠀⠀⠊⠴⢔⢻⡿⣏⡀⠀⠂⠀⠀⠀⣿ ⠀⠀⠁⠀⢆⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⢡⠁⠌⠀⢠⠀⠀⣿ ⠀⢠⠀⢸⡟⡇⠀⠀⠀⠀⢀⠤⣒⣂⠄⡀⠀⠀⠀⠀⠀⢀⠇⠌⠀⠀⠈⠀⠀⣿ ⠀⣿⣀⣼⢳⠇⠀⠀⠀⠀⢸⣤⣿⣿⣿⣾⠆⠀⠀⠀⡠⢢⢊⠀⠀⠀⣀⠇⡀⠟ ⠸⢸⡏⣻⢾⠈⣄⢠⠒⢐⠘⡟⠉⠉⢉⠏⠀⠀⢀⢔⠁⠁⢁⠅⣐⠙⠁⢰⠁⠀ ⠀⠀⢧⢸⢸⡦⠛⠢⡁⠈⠀⠈⠛⣏⠉⠀⢀⢔⣵⣃⢠⡄⠊⡸⡱⠀⢨⣇⠀⣀ ⠀⠀⠚⣧⡿⢅⡀⣀⣸⣦⢀⠀⠀⠸⣠⢪⣑⢡⡞⠀⣟⠁⣰⣗⢀⡶⣻⣩⣆⠀ ⠁⠀⠀⠈⠉⠁⠈⠛⣿⣿⣧⣩⣀⣤⣭⣀⣠⡜⠀⠀⢉⣾⡿⢣⠾⠓⠉⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⢀⣄⠀⢻⣕⣲⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⢀⣠⡶⠋⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢘⣡⠼⠟⠛⠉⠁⠀⠀⠀⠉⠉⠓⠦⣤⣖⣺⠟⠁⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡷⠋⠁⠀⠀⣠⠄⠀⠀⢠⡀⠀⠀⠀⠀⠀⠉⠳⣄⢀⣄⡀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⢁⣠⣤⣤⣴⠞⠋⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠘⢷⡛⢳⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⣯⣾⣿⠿⣿⣿⣍⠙⢦⡀⠀⠀⠀⠀⠙⣲⣦⣤⣤⣤⣀⡀⠀⢻⡁⠀⡇⠀⠀⣠⡄⣀⣤⡀⠀ ⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣶⣿⡿⢿⡇⠀⣷⠀⠀⢀⣴⣾⣿⣷⣦⣄⡉⠻⣍⠁⠀⢧⢀⠇⠀⠀⣿⢿⣿⡿⠁⠀ ⠀⠀⠀⠀⡾⢹⢻⣿⣿⠿⠟⠛⠁⣸⡇⠀⣼⠀⡴⣿⣿⣿⡉⣻⣿⡿⢿⣆⠹⣇⠀⠸⣾⠀⠀⠀⢹⣾⠟⠁⠀⠀ ⠀⠀⠀⢸⠇⠸⡀⠻⢿⣶⡶⠶⠟⠋⠀⣰⠏⣸⠁⣿⣿⡿⢿⠿⠋⠁⢀⣿⠀⢻⡀⠀⡇⠀⠀⠀⠀⠋⠀⠀⠀⠀ ⠀⠈⠉⢻⢄⠀⢣⡀⠀⠀⠀⠀⠀⢀⡾⠋⠀⢹⠀⠹⣿⣧⣀⣀⣀⣤⡾⠋⠀⢸⡇⠀⣷⠀⠀⡴⠛⢙⠟⠀⠀⠀ ⠠⠤⠖⣾⡄⠉⠉⠙⠲⣶⠒⠒⠚⠉⠀⠀⠀⠘⣧⠀⠈⠻⠿⠟⠛⠁⠀⠀⠀⣼⠇⠀⡿⠀⢸⠁⠀⡇⠀⠀⠀⠀ ⠀⠔⠋⠙⣧⠀⠀⠀⠀⢈⡇⠀⠀⢰⣦⡄⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⣀⣤⠞⠉⠀⢠⡇⠀⠈⢣⡀⠙⡄⠀⠀⠀ ⠀⠀⠀⠀⠹⣧⠀⠀⠀⣇⠀⠀⠀⠀⠉⠀⠀⠀⡀⠀⠐⠛⠛⠛⠉⠙⠻⣆⠠⠒⠉⣽⠋⠀⠀⠀⠙⣄⠈⢦⠀⠀ ⠀⠀⠀⠀⠀⠈⢷⡀⠀⠈⠑⠒⠈⠑⠤⣀⡀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢻⣿⠧⢄⡀⠀⠀⠀⠘⢆⠀⢣⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠢⠀⠉⠀⠀⠀⠀⡸⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠖⢿⡅⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⣀⠖⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠛⢿⣛⡶⠶⢶⡒⠚⠋⠉⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⣤⠊⠀⢠⠞⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠀⠀⣻⠀⠀⠀⣻⠛⠛⠉⠉⠉⠉⠉⢻⡆⠀⠀⠀⠀⢹⠀⠀⢇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⣻⡉⠙⠶⠶⠒⠻⣦⣀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⣇⠀⠈⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠃⠀⠀⠀⠀⠀⠀⠉⠛⠳⠶⣤⣀⠀⢹⡄⠀⠀⠀⠀⡟⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢸⣧⣀⡤⠖⠋⠀⢀⡰⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⣀⠤⠔⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠚⠋⠉⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡴⠟⠉⠈⠀⠀⠀⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠉⠀⠈⠉⠷⢦⡀⠀⢀⣠⠖⠋⠉⠉⠉⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡟⠀⠀⠀⠀⠀⢠⠞⠉⠻⣿⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⡤⠤⣤⣄⣀⣀⠀⢀⣠⣤⠶⠚⠋⠁⢰⡇⠀⢠⠀⠀⠀⡏⠀⠄⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠟⠁⠀⠀⠀⠀⠈⠉⠉⠉⠉⢀⣴⠞⠀⠀⠀⢧⡀⠸⡄⠀⢀⣿⣤⣠⣽⠃⠀⠀⠀⠀⠀⠄⠀⣠⠇⠙⣦⡀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠁⠀⠀⠀⠀⠈⠉⠛⠛⠉⠉⠀⠀⠀⠈⠳⢄⣀⠀⠀⠀⢀⡴⠋⠀⢸⠈⢳⣄⠀⠀⠀⠀ ⠰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠠⠃⢀⣀⡤⠤⠶⠒⠒⠒⠛⠛⠓⠒⠲⠶⠤⣄⣀⠀⠉⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀ ⠀⢸⡆⠀⠀⠀⠀⠀⢀⣀⡼⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⠀⠈⠙⠲⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀ ⠀⢸⣿⠀⠀⠀⢠⣶⠞⠉⠀⠀⠀⢠⣼⢀⡀⠀⠀⠀⠀⢀⡤⣲⡿⡿⠋⠁⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⣀⣤⡶⠞⢻⡄⠀ ⠀⠈⣿⡆⠀⢠⣿⣽⣦⣀⡀⠀⠀⠈⢛⡿⣿⡇⠀⠀⠠⣿⣉⣉⣻⣶⣤⠄⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⡴⠛⠉⠀⠀⠀⠀⣷⡀ ⠀⠀⠹⡇⠀⣼⠃⠙⠓⠶⣿⣿⡶⣴⣏⠀⢠⡮⡀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⢀⣀⣀⣤⢤⣼⡇ ⠀⠀⠀⢿⠀⡟⠀⠀⠀⠀⠶⠛⠁⠻⠷⣦⡼⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡛⠉⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠘⣧⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣀⣀⣀⣠⣤⣼⠃ ⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⣰⠃⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠄⠀⠀⠀⠀⢠⡏⠀ ⠀⠀⠀⠀⢹⡇⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⢸⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⠀⣰⠏⠀⠀ ⠀⠀⠀⠀⠘⣇⠀⠀⠀⠘⢷⠀⠀⠀⠀⢀⡞⠁⠉⠳⣄⡀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⢀⡼⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣷⢀⠀⠀⠚⢷⣄⠀⠀⡾⠀⠀⠀⠀⠀⠙⠦⢄⣀⣠⠴⠋⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣄⠀⠀⠋⠉⠓⣞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠴⠛⠁⠀⢀⣠⠶⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠦⣤⣀⠀⠈⠳⢤⣤⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠒⠋⠁⠀⣠⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⡉⠓⠲⠶⠶⠤⠭⡷⡴⣶⠊⠉⠁⠀⢀⣠⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⠶⠤⠤⢤⣄⣀⣀⡼⣆⡤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢰⠆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠞⠆⠀⠀ ⠀⠸⡀⠑⢧⣀⢠⠤⠦⠴⠴⢤⣴⢊⡠⠇⠀⠀ ⠀⠀⢣⢀⣀⣦⣀⣀⠀⣠⢤⣿⣶⣦⡜⠀⠀⠀ ⠀⠀⠸⢺⢸⣿⣦⣸⡉⢙⡦⠿⠿⠿⠃⠀⠀⠀ ⠀⠀⠬⡌⠉⡉⠁⠱⣤⣄⠃⢄⣤⡊⡃⠀⠀⠀ ⠀⢀⡜⢹⡀⢼⣿⣦⣬⣦⣄⣾⡗⣰⡇⠐⠀⠀ ⠐⠀⠄⠈⣷⣄⠹⣿⣿⣿⣿⡟⢰⢿⠂⢀⠀⠀ ⠀⠀⠀⠐⠌⢻⣆⠈⢿⣿⡿⢀⢾⠃⠀⠀⠢⠀ ⠀⠀⠀⠀⠀⠸⢙⠷⠶⠭⣵⠟⢃⠀⠀⠀⠀⠄
⠀⢀⣶⣶⣶⣾⡶⣶⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⣿⠿⠿⣿⣿⣆⠀⠈⠙⠛⠿⣶⣤⣤⣶⠾⠿⠿⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⠿⢷⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠁⠀⠀⠀⠙⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣷⣤⡀⣀⣠⣤⣶⠾⠿⠿⢿⣿⣷⣶⡄⠀ ⢰⣿⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠛⠋⠁⠀⠀⠀⣠⣿⠿⠛⠻⣿⡄ ⢸⣿⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠁⠀⠀⠀⣿⡇ ⢸⣇⠈⠁⠀⠀⠀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⠀⠀⠀⣿⡇ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃ ⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡶⠖⠛⠓⠶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⣿⡄⠀⠀⠀⠀⠀⠀⢀⣾⠋⠁⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡾⠛⠉⠉⠉⠙⠻⣶⣄⠀⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⢻⡇⠀⠀⠀⠀⠀⠀⢸⠛⢳⣶⣶⠒⠒⠒⠒⠒⠒⠚⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⠀⠀⠀⠀⠀⣿⠃⠀ ⠀⠸⣿⡀⠀⠀⠀⠀⠀⢸⣇⠈⠉⠛⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠉⠙⣿⡟⠉⠉⠉⠉⠉⠉⣻⠀⠀⠀⠀⢸⡟⠀⠀ ⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠻⣦⣀⠀⠀⠀⠀⠀⣀⣴⠟⠁⠀⠀⢶⣶⣶⣶⣶⡦⠄⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠀⠀⠀⠀⢿⡇⠀⠀ ⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠲⠶⠶⠚⠋⠁⠀⠀⠀⠀⠀⠉⠛⠋⠉⠀⠀⠀⠀⠀⠈⠻⢶⣤⣤⣀⣠⣤⠾⠋⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀ ⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣴⣶⠶⠦⠤⠤⠤⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣧⡀⠀⠀⠀⠐⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⣀⣤⣶⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣿⣿⠫⡐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⡿⠂⠁⠦⣀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠏⡐⠬⢃⢬⠓⣽⠦⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣽⣿⠐⣂⠤⢒⠩⠙⡺⠷⣅⣴⣶⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣷⢐⣂⣈⡉⠴⠋⠐⢺⣿⣿⣿⣶⣶⣬⣧⣽⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀ ⢸⡿⠀⠐⠂⠒⠒⠀⠀⢸⣿⣟⡙⢿⣿⣿⣿⡟⠿⣿⣯⣹⣿⣧⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣶⠆⠻⢿⣿⣿⣶⣬⣭⣟⡽⣿⣾⣿⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣷⣶⣶⣶⣶⣿⠿⠛⠉⠉⠉⠀⠀⠉⠑⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⡿⣙⣿⣿⡿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣏⠯⣽⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡼⢣⢽⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠭⣇⣺⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣕⣻⣿⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⡿⡮⣷⣿⢻⣏⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣏⠷⡵⣻⣯⢳⡬⣏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣿⣟⣟⡞⡼⣛⠖⣿⡚⣯⢱⡳⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⣿⣟⡾⣼⡳⣍⠺⢣⡝⣶⠡⣟⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⣿⣿⣾⣽⢲⡽⣋⢼⢣⡟⣞⡼⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⣷⣽⣮⣵⣿⣞⣽⣿⣯⣿⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⣿⣿⣿⣿⣿⡇⠤⠄⠳⣮⡻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡎⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠇⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣿⣿⣿⣶⡄⠀⠀⠀⢀⣠⡤⠶⠚⢿⡦ ⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣋⢙⠉⣀⠀⢀⡴⢛⡥⠀⠀⠀⠀⢳ ⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⣘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠹⠿⣿⡿⡿⢿⣿⣿⣿⣿⠇⣻⡾⣫⡕⠋⠀⠀⠀⠀⠀⢸ ⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠘⣄⡙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠘⣿⡙⠉⢸⡾⣻⡾⠋⠀⠀⠀⠀⠀⠀⠀⢸ ⣿⣿⣿⣿⣿⣷⠀⢀⠀⠀⠀⠀⠀⠀⠘⠃⠁⠛⠛⠛⠛⠻⠿⠿⢻⠿⢿⣿⡶⢾⣶⣤⣤⣾⣈⣥⠀⢨⣽⠟⠊⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⣿⣿⣿⣿⣿⣿⡧⠘⠿⢤⠀⠀⠀⠀⢠⠀⠀⡄⡄⠀⠄⠀⠀⠀⠀⠀⠀⠁⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿ ⣿⣿⣿⣿⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠈⣆⡴⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⢿⣿⣿⣿⣏⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁ ⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠠⠄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠩⠿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢀⣠⣶⣿⣲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠻⢿⣿⣿⣿⣏⡀⠀⠀⠀⠀⠀⡟⠀⠀ ⣿⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣶⣌⣿⣿⣿⣿⣷⠖⠀⠀⠀⠀⡟⠀⠀ ⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠘⣏⣿⣿⣿⣿⣿⠟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣄⡀⠀⢀⣾⣷⠄⠀ ⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⠿⠿⠥⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣧⣿⣿⣿⣿⣿⠙⡟⠛⢿⣿⣿⣿⣿⣯⡽⠿⠟⠛⠉ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠀⠰⢤⡀⠀⠀⠙⠟⠉⠻⠿⠿⠿⠾⠃⢠⡿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠞⠤⡀⠀⠀⠀⠀⢛⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠿⠟⢹⣿⣿⣿⣧⠀⠀⠀ ⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⠅⠀⠀⢠⣮⣭⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⠀⠀⠀⠀⣿⣿⣿⣿⡄⠀⠀ ⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠤⠌⠙⠂⠀⠀⠘⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠈⠛⣿⣿⠁⠀⠀ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣦⣉⠀⠀⠀⠀⡀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠈⠁⠀⠀⠀ ⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠛⠛⠻⠿⠿⠿⠿⠶⠶⠶⢶⣤⣤⣤⣤⣤⡀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣋⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣅⣀⢈⣩⣷⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠴⣒⣤⣀⡲⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢾⣿⣯⡿⠟⠋⠈⠻⡛⠋⠹⣗⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠊⢔⢉⢙⣹⡿⠳⣙⡊⣓⣉⣒⡤⡀⠀⠀⠀⠀⠀⣰⡟⣡⠟⠁⠀⠀⠀⠀⠀⠈⠑⠢⡍⡧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⡇⠀⠻⣿⠟⠁⠀⠀⠀⠉⠉⠻⣟⠋⠙⠓⢤⣠⡴⣶⡿⣛⣉⣁⠒⠢⣄⣀⠀⣀⣤⡶⢺⣷⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠱⡀⢾⠁⠀⠀⠀⣀⡠⠤⠶⠒⣺⠿⣟⢠⣯⣃⣳⡾⠲⠷⣮⣥⣴⣮⣤⣤⣬⣿⣟⣻⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠢⣷⣦⣤⣾⣿⣷⣶⡂⢉⡤⢊⣥⣿⡿⠿⠿⢿⣦⣤⣀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⢀⡤⢤⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠋⡴⣻⣿⠏⠀⠀⠀⠘⢿⢯⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⢀⢽⣿⣦⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⣡⢁⡏⠀⠀⠀⠀⠀⠈⠫⣳⠄⢹⡆⠀⠀⠀⠀⣠⣴⣿⣿⣿⠞⠁⠈⢿⢿⡷⠀⠀ ⠀⠀⣰⣾⣏⠩⡉⠰⣄⠀⠀⠀⠀⢠⢂⡴⢛⠎⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣾⣿⡀⠀⢠⣾⣿⣿⡿⠟⠁⠀⠀⠀⣸⣾⠃⠀⢀ ⠀⣰⡇⠈⠙⠤⣽⣧⣹⣷⣤⣀⣴⣡⡤⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠛⠛⠋⠁⠀⠀⠀⣀⣴⣾⡿⠁⠀⠀⠘ ⢰⣟⣹⡄⠀⠀⠀⠉⠛⠻⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⢀⡖⠁⢸⣿⠃⠀⠀⠀⠀ ⢹⡇⠂⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡁⠀⠠⣬⣧⣀⡜⠁⠀⠀⠀⠀⠀ ⠀⠱⡄⠀⠣⠀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⢶⠃⠙⠋⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠢⢀⣙⠿⣿⡿⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡾⡄⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠑⠊⠁⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⢷⣿⣿⡶⠤⢕⡄⠀⠀⠀ ⠀⠀⠀⣠⠔⠂⢶⣶⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀ ⠀⣠⡎⠀⣀⣠⡾⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀ ⠀⣿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀fllw me on pinterest : pinkiace ୨୧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⡿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠛⠁⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠋⠀⠀⠀⠀⠀⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠔⠛⠛⠛⠿⢿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⠏⠀⠀⠀⠀⠀⠀⠉⠙⠛⠿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⡄⣤⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣿⣶⣤⡀⠀⠀⣀⡀⣠⢤⣾⣰⣿⣾⣶⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣶⣿⡟⢫⠟⠈⠿⠛⠙⠉⠿⣿⠿⣿⣇⣀⠤⢄⣤⣤⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣿⣾⣿⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣶⣦⣀⢚⣿⡿⣀⠄⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⢿⣦⣭⣛⡓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⣿⣭⡙⠛⢧⡀⢘⣯⣚⣅⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠁⣴⣾⣿⡿⠫⠽⣶⣄⠀⠀⠀⢀⣤⠤⠤⢤⣄⢿⣮⡾⠻⣿⣿⣷⣨⠗⢩⣿⣿⡷⠶⣾⣛⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⣾⣿⠟⣡⣶⣶⣄⠈⢻⡇⠀⣿⢫⣄⠀⣤⣾⣍⣹⠛⠿⠿⡟⠛⠉⠁⠀⠈⠙⣻⣟⡣⢤⣴⣮⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢧⡀⠀⠀⠀⠀⠀⣸⣿⣵⠀⠸⣏⡸⣿⣿⣴⣿⠶⠋⠀⠘⠿⠿⠿⣾⠋⣿⠛⠁⠀⠀⠀⠰⡀⠀⠀⠀⠀⠀⠀⠐⢿⣷⠖⠚⣻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢦⡀⠀⠀⠀⢹⣹⠇⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⣶⠃⠀⠀⠀⠀⠀⢠⠇⠀⣀⣀⡠⠤⠤⠤⠴⠶⣿⠤⠽⢿⣦⣤⣀⣀⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠳⣀⡀⠀⣿⣟⣣⣤⡄⠀⠀⠀⠀⠀⣀⣠⠤⠄⠀⠀⠀⠀⠀⣻⣄⡀⠀⠀⣀⡠⠋⠀⠀⢏⠘⣖⣒⣒⣒⣒⠒⠚⣷⢮⢿⣿⣷⣀⣀⠀⠈⠉⠁⠀ ⠀⠀⠀⠀⠀⣠⠞⣩⠞⠉⣩⣽⠓⠀⢀⣠⣴⣶⢿⣻⡎⠀⠀⠀⠀⠀⢀⡞⠁⠈⠙⢦⡀⠀⠀⠀⠀⠀⠈⠛⣒⠲⠤⣬⣉⡉⠐⢻⡷⣧⣝⣦⡀⠉⠉⠒⠦⡄⠀ ⠀⠀⠀⠀⣰⡇⣰⡿⠀⢺⣿⣧⣶⡮⠟⣉⡵⢊⡉⢀⡴⠗⠀⠀⠀⠀⣾⡷⠊⠉⠉⠙⠿⣦⡀⠀⠀⠀⠀⠀⠙⠻⢵⣲⢤⣈⠉⠓⠻⣦⣄⣘⣏⠙⠲⠦⣤⣀⠀ ⠀⠀⠀⢰⣿⢳⢻⣱⣯⣿⡿⢉⣡⣖⡯⠗⢋⡭⣮⠟⠂⠀⠀⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢝⡒⠦⣽⣿⡍⠻⠦⠄⠀⠀⠈⠉ ⠀⠀⠀⠀⢸⣸⢿⣿⣌⡴⣻⡽⠛⣁⡠⣺⠿⠋⠀⠀⠀⠀⠀⠀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣿⣉⣿⠿⣷⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠋⣡⣾⣿⣿⣿⢿⡯⢚⡽⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠘⠈⠹⢿⣷⣞⣻⡓⠆⠀⠀ ⠀⠀⣀⠴⠊⣡⡿⣿⣾⣷⣯⡔⠋⢀⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡂⠀⠀⠀⠀⠀⠀⠀⠈⠻⣅⠃⠀⠀⠀ ⠰⠊⠁⡤⠊⢹⣿⡏⢸⡿⠁⢀⣴⡥⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣄⠀⠀ ⠀⠀⠈⢀⠔⠛⡞⠷⠋⠀⠀⠀⠁⠀⠺⣷⣚⣽⣶⣂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⢤⣴⡤⠾⠂⢀⣀⠤⠤⠶⠶⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠀ ⠀⠀⠀⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠉⠙⠓⠲⠦⠖⠀⣠⢶⢷⢰⢧⢳⣶⠀⠟⠛⠛⠀⣀⣀⡼⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠁⢸⡿⠘⢈⠁⠉⢧⠀⠐⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠪⠭⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢀⣀⣄⣀⣤⠴⢒⡋⣷ ⢠⡴⠒⠒⠀⠀⠐⠒⠲⠤⢄⣀⣤⠴⠖⠚⣛⠉⠉⠉⠉⠉⠉⠑⠒⠒⠒⠚⠉⠉⠉⠁⢀⡤⠊⢠⠇ ⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠖⠒⢿⣯⢀⣴⠋⠀ ⠀⠀⠀⠙⢧⠀⠀⠀⠀⢤⣦⠀⠀⠀⠘⠛⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢋⡴⠛⠁⠀⠀ ⠀⠀⠀⠀⠘⣷⡰⠀⢀⣠⣌⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⠀⠀⠀⠀⢀⡴⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠃⢠⣿⣿⣷⡌⢇⠀⠀⠀⠀⠀⠀⣠⠊⢠⣿⣏⣿⣷⠀⠀⠀⠈⠀⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠀⠸⣿⣿⣿⣇⠌⠀⠀⠀⠀⠀⠀⠀⠀⠤⣿⣿⡿⠋⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⢿⠀⠀⠈⠉⠋⠁⣠⡤⠖⢾⣗⡆⠀⠀⠀⠀⠀⣀⠀⠈⠀⠀⠀⠀⠀⠈⡿⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⢻⣆⠀⡾⠛⠃⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣆⡀⢀⣀⣤⠈⠿⠞⠁⠀⠀⠀⠀⠀⣄⠉⠉⡒⠲⠤⣄⡀⠀⢠⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡠⠜⠛⢫⣤⠚⣧⣦⡤⢤⣀⠀⠀⢄⣳⣄⠝⠻⢄⡀⠀⠀⣬⡹⠛⠤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠀⢀⠔⠋⣨⠿⣦⡉⣧⣸⢿⡿⢲⠂⠀⠙⣄⠀⠀⠈⣱⠾⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⣠⠞⠁⠀⠀⠙⢿⠁⡼⢡⠎⡠⠀⠀⢈⣦⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢤⠴⣷⣮⡠⠴⠚⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡟⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⢳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠰⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠸⡆⠀⠀⠀⠀⠀ ⠀⠀⠸⡇⠀⡐⠳⠖⠚⠉⠉⠉⠉⠉⠙⠁⠒⠂⠄⢗⠀⠀⠀⠀⠀ ⠀⠀⢸⡏⠁⠀⠀⣠⣄⡀⠀⠀⠀⠀⣠⠶⣶⡀⠀⠈⠙⢦⡀⠀⠀ ⠀⢀⡞⠀⠀⠀⢸⣃⣴⣷⠀⢠⣤⡄⢷⠶⣿⡗⠀⠀⠀⠀⠹⡄⠀ ⣤⡿⠤⠀⠀⠀⠘⣷⣿⡏⠀⠀⣹⣀⠀⠉⠉⠀⠀⠀⠀⠈⣭⣯⣙ ⠠⡷⠚⠀⠀⠀⠀⢰⣹⠀⠀⠀⠓⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠀⢳⠀⠀⠀⠀⠀⢀⡭⠖⠒⣓⣶⣚⠓⠒⢤⡀⠀⠀⠀⠀⣰⠃⠀ ⠀⠈⢧⡀⠀⠀⣠⠋⠀⠀⠘⡇⠀⢸⠃⠀⠀⠙⣄⠀⢀⡼⠁⠀⠀ ⠀⠀⠀⠙⠢⣴⠃⠀⡖⠒⠚⠁⠀⠈⠓⠒⢦⠀⠘⡖⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠟⠀⠠⠇⠀⠀⠀⠀⠀⠀⠀⠸⠄⠀⢹⠄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⠻⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⢞⡿⢹⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⡀⠙⠷⣌⠛⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⢀⣤⠞⢋⣴⠟⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠈⠷⣄⡈⠙⠲⣤⣀⣤⠴⠒⠋⠉⠉⠁⠀⠀⠀⠀⠀⠈⠙⠳⢶⡋⢀⣰⠟⠁⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⠀⠈⠛⢷⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠺⣅⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⠀⠀⢀⡼⠁⠀⠀⠤⠤⠔⠒⠒⠒⠒⠒⠢⠤⣀⣀⣀⣀⡀⠀⠀⠀⠈⢷⣀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⢠⡞⠁⠀⠀⠀⠀⠀⠀⣀⣠⠤⠶⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⠟⠀⠀⠀⠀⣖⣲⣋⡉⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠒⠒⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡴⠞⠉⠀⠀⠉⠳⡀⠀⠀⠀⠀⠀⢠⡴⠚⠉⠉⠑⢦⡀⠀⠀⢸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣤⠤⠤⠤⠤⠤⠤⠤⠤⠤⢷⣄⣀⣀⡀⢀⣾⣀⣠⠤⠤⠤⠤⠥⠤⣤⣘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀⠀⢀⡴⢛⣛⡷⣤⣀⣿⠋⠉⠉⢹⡍⢀⣤⣤⠴⢶⣄⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⠀⠀⠀⠻⣄⣾⣿⣷⣤⠽⣿⠀⠀⠀⢸⡇⢯⣰⣿⠷⠶⠛⠂⠀⠀⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⣆⣀⣀⣀⣠⣤⣤⣤⣤⣴⠿⠀⠀⠀⠀⠷⠴⠤⣤⣀⣀⣀⣀⣀⣀⡿⢸⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠒⠂⢼⠌⣉⠉⠉⠉⠉⠉⠉⠉⢉⣁⠀⠀⠀⠀⠀⢀⣀⣠⡀⠈⣉⠩⠭⠛⠛⠓⢺⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠤⢼⡄⠠⠄⢀⣀⡀⠀⠀⠀⠛⢿⡍⠉⠉⠉⠉⢉⣡⡿⠁⠠⠤⠤⠤⠔⠒⠒⣿⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠉⢁⣀⡠⠀⠀⠙⠷⣤⣤⠾⠛⠉⠀⠀⠠⢄⡀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⠒⠒⠒⣾⠆⠒⠒⠒⠒⠉⠁⠀⣀⠀⢀⣀⣀⣀⠀⠀⠀⠀⢀⠀⠀⠀⠈⠉⠑⠒⠤⢼⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡣⠖⠀⠀⠀⠀⠀⣠⠞⠁⣰⡿⠋⡏⠙⣷⣤⣤⣤⣌⠓⠦⢄⣀⠀⠀⠀⠀⢹⣿⠦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣴⣂⡀⠀⠀⡴⠋⠁⣠⡾⢹⡃⠀⡇⠀⣿⠀⢸⢸⡿⣧⡀⠀⢸⠁⠀⠀⣔⣷⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠫⣿⣿⢛⡷⠀⠀⣇⠀⢰⣿⣿⣾⣿⣿⣿⣿⣿⣶⣾⣾⣿⣿⣿⠀⡟⠀⡦⣿⣻⣿⡛⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢻⣿⣠⢃⣆⠘⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠇⡼⠁⣼⣼⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⣾⡵⢻⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢠⡇⢤⣴⣿⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⣿⠿⢿⡗⠒⣧⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢸⠀⢾⢿⣟⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣤⠶⠶⠚⠛⠋⠉⠀⠀⣇⠀⣺⣿⣒⢺⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡇⢈⣿⣟⠉⢸⡓⠦⣤⣄⡀⠀⠀⠀⠀⠀ ⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⢫⠙⣆⠺⡆⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣏⢽⡯⠆⣠⣸⡇⠀⠀⠉⠛⢷⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣣⡾⣆⡇⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⣧⢟⣤⡚⣱⠏⠀⠀⠀⠀⠀⠀⠀⠙⠲⠤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣝⣿⡇⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⢀⡟⠉⠠⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⠞⣦⣤⠀⣀⣽⣭⡍⣹⢻⡀⢄⠀⠀⣠⣼⣧⠞⠀⠀⠉⠉⠙⠒⠦⢤⣤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢻⣮⡼⢱⡺⢉⡼⣿⡿⡹⡎⣹⡀⢿⣷⢺⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣳⣿⣧⣞⡃⡟⣧⢇⢷⣟⣍⣿⣿⣟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣼⠿⢿⣧⣤⣿⣿⣿⣧⡄⠀⠀⠀⠀⣠⣤⣤⣤⡀⠀⠀⠀ ⠀⠀⣘⣿⣶⣆⣼⣿⣿⣿⣿⣿⣿⣿⠛⠛⢛⠻⠀⠀⠆⣿⣀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠈⠡⠀⠀⣀⣾⠿⠀⠀ ⠀⠀⠻⣿⣿⣿⣿⠿⢿⠋⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⠓⢿⣤⠀⠀ ⠀⠀⣿⠻⠻⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀ ⢀⡶⣿⠾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣷⣦⡀ ⠉⠁⣿⣥⠂⠀⠻⠶⠆⠀⠀⠀⢀⠀⠀⠀⠰⠾⠃⠀⣶⣾⣿⠉⠁ ⠀⠛⠉⢻⣥⠘⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠀⣿⠛⠙⠃⠀ ⠀⠀⠀⠛⠘⠛⠷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⠟⠛⠀⠀⠀⠀⠀ Type "Tswundere" for more :3
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠿⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣾⣿⣶⣶⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠈⠻⣿⣿⣿⣿⣆⠀⠀⠀⢀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣀⣤⣶⣶⣌⠻⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⠁⣰⣿⣿⣿⣿⣿⣦⣙⢿⣿⣿⣿⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣦⣹⣟⣫⣼⣿⣿⣶⣿⣿⣿⣿⣿⣿⣯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠐⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢻⣿⣿⣿⣿⣿⡇⠀⠀⠈⠉⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣴⣶⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⡇⠀⠸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣧⣄⣐⣀⣀⣀⣀⣀⡀ ⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠁⠛⠛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁
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⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡟⡝⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡿⠘⢰⠸⣆⡤⠤⠤⢤⣀⡀⠀⠀⢀⡤⠖⢶⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠃⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢶⢩⠂⡍⣾⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⠏⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⢡⡏⠀⠀⠀⠀ ⠀⠀⠀⢰⠏⠀⠀⠀⠘⠧⠿⣹⡆⠀⠀⣠⠶⡶⣦⡄⠀⢸⡇⠀⠀⠀⠀ ⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⣧⣀⣸⠉⠉⠉⠉⠀⠀⢸⠇⠀⠀⠀⠀ ⠀⠀⢰⠃⠀⠀⠀⠀⠀⢰⣔⠄⠸⡴⠋⢀⢤⠀⠀⠀⠀⣸⠀⠀⠀⠀⠀ ⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠈⣍⠉⠙⡒⠖⠚⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀ ⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀ ⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀ ⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀ ⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⣠⢊⠝⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀ ⡏⠀⠀⠀⠀⢀⡄⠀⠀⠀⢀⡼⠈⠀⠀⢹⠆⠀⢀⢶⠀⠀⠀⠘⡷⠶⣦ ⡇⠀⠀⠀⠀⠈⡇⠀⢀⡤⠞⠀⠀⠀⣠⠞⠀⢀⣸⢸⡀⠀⠀⠀⡇⢀⡟ ⡇⠀⠀⠀⠀⣠⡷⠖⠉⠀⠀⠀⣠⠊⠁⠀⠀⡏⠀⠀⠙⡆⠀⠀⡇⣸⠀ ⣇⠀⠀⠀⠚⠉⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⣧⠀⠀⣰⠃⠀⠀⣧⡇⠀ ⣿⣆⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⣿⠀⠀⢻⡄⠀⢰⣿⠃⠀ ⠛⠙⠓⠀⠀⠀⠐⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠘⡓⠀⠘⠛⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢿⣿⣿⣷⡄⠀⠀⠀⣠⡶⣶⣤⣞⣹⣿⣷⠀ ⠀⠀⠀⠀⣠⣶⣶⣶⣦⣾⣅⣼⣿⣿⣿⣿⠀⠀⠐⢿⣰⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⠀⣾⡏⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠀⢿⣧⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⣠⣤⣤⣤⡙⠻⠿⠃⠀⠀ ⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣼⣯⣤⣴⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⡿⠁⠀⢠⣿⣿⣿⣿⣿⣿⡾⠟⢻⣶⡀ ⠀⠀⢀⣴⣶⣶⣦⡀⠀⠀⠈⠉⠛⠁⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣷ ⠀⠀⢸⣇⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃ ⢠⣾⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⢠⣤⣶⣤⣀⠸⣿⠿⠿⠿⠿⠿⠟⠋⠀⠀ ⠸⣄⢿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⢹⣿⣿⣿⣧⠀⠀⢀⡴⢦⡄⠀⠀⠀⠀ ⠀⠉⠛⠛⠛⠛⠉⠉⠀⣤⣶⣶⣿⣿⣿⣿⣿⣿⡆⠀⣿⣿⣿⣿⣤⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣾⣿⣿⣿⣿⣿⣿⣿⡇⠀⠙⠛⠛⠛⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡐⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⢁⠠⢘⣖⠤⠤⣀⡀⠀⠀⣀⡤⠊⢁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣨⠔⠊⠁⡀⠀⢀⠀⠀⠉⠳⣏⢀⡀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣞⣥⣖⡶⢏⠀⠀⠘⠤⣀⠀⠀⠈⢫⡕⠸⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⣧⣾⠿⡆⢣⠀⣠⣶⣿⣭⡙⢧⠀⢃⡀⠀⢸⣾⠏⠀ ⠀⢀⠇⡙⢿⣭⡥⠜⢁⡎⡜⣿⣷⡾⠟⢹⡆⢇⠘⠃⠀⠘⠋⠀⠀ ⢈⣹⡢⠱⢄⣀⣀⠠⠊⠀⣇⠹⣷⣤⡴⠚⠀⢸⠀⡆⠰⢋⠝⠀⠀ ⠐⠈⣇⠀⠀⡱⠀⠠⡤⠀⠈⠢⣀⣀⣀⣠⠔⢁⣰⡀⠐⠌⢂⠀⠀ ⠀⠀⠘⢆⠀⠂⠤⠠⢀⡀⡰⠀⠁⠀⠀⠈⠚⢤⠎⡀⠀⠈⢆⠡⠀ ⠀⠀⠀⠀⠑⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠑⠈⠀⠀⠜⢀⠇ ⠀⠀⠀⠀⠀⠀⢀⠜⠓⣖⠶⢖⣒⣊⣉⣀⣳⠀⠀⠀⡔⠁⠔⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⢢⡄⠪⠤⠼⣄⡀⠀⠀⠈⡇⠀⠀⢠⠀⢂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⡏⠀⠀⠀⠀⠉⠑⠲⠤⢳⠀⣀⠜⠀⡸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⡀⠄⠊⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⠊⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡤⠤⠤⠤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠛⢦⣤⠶⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⢋⡽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠙⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠉⠓⠦⣤⣤⣤⣤⣤⣤⣄⣀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⡄⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀ ⠀⠀⣠⠞⠁⠀⠀⣀⣠⣏⡀⠀⢠⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⡃⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆ ⢀⡞⠁⠀⣠⠶⠛⠉⠉⠉⠙⢦⡸⣿⡿⠀⠀⠀⡄⢀⣀⣀⡶⠀⠀⠀⢀⡄⣀⠀⣢⠟⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃ ⡞⠀⠀⠸⠁⠀⠀⠀⠀⠀⠀⠀⢳⢀⣠⠀⠀⠀⠉⠉⠀⠀⣀⠀⠀⠀⢀⣠⡴⠞⠁⠀⠀⠈⠓⠦⣄⣀⠀⠀⠀⠀⣀⣤⠞⠁⠀ ⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠁⠀⢀⣀⣀⡴⠋⢻⡉⠙⠾⡟⢿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠉⠉⠀⠀⠀⠀ ⠘⣦⡀⠀⠀⠀⠀⠀⠀⣀⣤⠞⢉⣹⣯⣍⣿⠉⠟⠀⠀⣸⠳⣄⡀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠙⠒⠒⠒⠒⠚⠋⠁⠀⡴⠋⢀⡀⢠⡇⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⢀⡾⠋⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠉⠋⠻⣄⠀⠀⠀⠀⠀⣀⣠⣴⠞⠋⠳⠶⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠦⢤⠤⠶⠋⠙⠳⣆⣀⣈⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠉⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣻⠀⠘⣆⢀⣀⣤⣤⣤⣀⣀⡀⣸⠁⠀⢸⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠘⠉⡀⠀⠀⠀⠀⠀⠉⠃⣠⠀⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⢀⣧⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⣇⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⣤⣤⣞⠈⠳⣤⣤⠀⠠⠤⣞⡁⠙⣦⣼⡆ ⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠈⢧⡞⠁⢠⡀⡀⣤⠀⢹⣼⠁⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠘⠇⠀⠀⠉⠉⠉⠀⠘⡇⠀⡰⠃ ⠀⠀⠀⠀⠀⣠⠞⠉⣹⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡴⠛⠁⠀ ⠀⠀⠀⠀⢰⠃⠀⢾⠁⠀⠀⠉⠻⡟⠛⠻⡟⠉⠙⢯⡀⠙⣆⠀⠀ ⠀⣀⣀⠀⢘⡆⠀⠘⡆⠀⠀⠀⠀⢹⠀⠀⢹⠀⠀⠀⡷⠀⢘⡆⠀ ⣟⠀⠈⠉⠉⠀⠀⢠⠇⠀⠀⠀⠀⡼⠀⢀⡟⠀⠀⠀⡇⠀⡼⠁⠀ ⠈⠓⠦⣄⣀⣀⡴⠋⠀⠀⠀⠀⠀⠓⠒⠋⠀⠀⠀⠀⠳⠼⠃⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠋⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠃⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⢢⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡟⡄⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡿⠀⠀⢫⢿⡄⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣰⡟⡸⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⠀⠀⠀⢻⣻⣶⠾⠛⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠉⠀⠒⠢⢄⣘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡿⠤⠖⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣀⣀⡀⠀⠀⠀⠙⢷⣤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣠⣴⣾⣦⣄⠀⠀⠀⠀⠀⠀⠀⣠⡞⠉⢙⣿⣧⡀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⢸⣿⠁⠀⣠⣿⣧⠀⠀⢀⣀⣀⡀⢿⣇⣴⣾⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀ ⠀⠀⣴⡟⠁⠀⠀⠀⠀⠀⠸⣿⡖⢻⣿⣿⡟⠀⠀⠹⢿⡟⠁⠈⠻⣦⣼⣿⠟⠁⠀⠀⠀⠀⠀⠀⢤⣤⣿⣦⣤⡄ ⣤⣶⣿⠶⠶⠀⠀⠀⠀⠀⠀⢿⣿⡿⢿⣿⠃⠀⠀⠀⢸⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣼⣧⣌⡁ ⢀⣸⣯⣴⡶⠂⠀⠀⠀⠀⠀⠀⢨⡇⢸⡇⠀⠀⠀⠀⠿⠀⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠈⠁ ⠘⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⣼⠇⠀⢀⣀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀ ⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠞⠛⠋⠙⣛⣷⣾⡛⠉⠙⠛⠷⣦⣀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠇⠀⠀⠀ ⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠰⣾⠋⠁⠈⢻⣷⠀⠀⠀⠀⠙⢷⡀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣤⡀⠀⠀⠀⣼⠏⠀⠀⠀⠀⠀⠀⣻⡄⠀⠀⢸⡇⠀⠀⠀⠀⠀⠈⢻⣆⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠻⢦⣄⣼⠇⠀⠀⢠⡶⠶⠶⠾⠛⠀⠀⠀⠈⠻⠶⠶⠶⣶⠀⠀⠀⢻⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡟⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢚⡃⠀⠀⠀⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡓⠀⠀⠀⢙⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⡶⠛⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⢱⣿⡜⣧⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⢀⣠⣤⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠇⠻⠛⠃⠉⠉⠉⠉⠉⠉⠛⠶⣦⣤⡶⢋⣵⣆⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠇⠻⠿⢻⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⠀⠀⠀⠠⣖⢲⡶⣄⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⣸⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠈⠙⠓⢻⡄⠀⣠⠾⠭⠯⠽⠓⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠠⣶⣶⣭⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⢷⣄⣀⣹⡟⠁⠀⢲⡄⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀ ⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⣈⣹⡛⠛⠋⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀ ⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀ ⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀ ⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⠞⣿⠂⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠛⠉⠁⢺⡅⠀⠀⣴⣦⠀⠀⠀⢸⣧⣤⣄ ⡷⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⣠⠞⠀⠀⠀⢀⡴⠃⠀⢀⡇⡏⠀⠀⠀⠸⡇⠀⣽ ⣯⠀⠀⠀⠀⠀⢠⣇⣠⠴⠋⠁⠀⠀⢀⡴⠋⠀⠀⡴⠛⠁⠻⣦⠀⠀⠀⡇⢠⡇ ⢃⠀⠀⠀⠀⠴⠚⠉⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⣇⠀⠀⠀⣸⠂⠀⢠⡇⣾⠀ ⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⡏⠀⠀⢸⣿⠇⠀
⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡟⣆⠀⠀⠀⠀⠀⠀⢀⡞⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⢃⣈⣧⠤⠤⠤⣤⣰⣏⠀⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣄⡀⠀⠀⠀ ⠀⢀⡞⠁⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⣤⡄⠀⠀⠙⣆⠀⠀ ⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⢠⡄⠉⠀⠀⠀⠀⠈⣧⠀ ⣾⠀⠀⠀⠀⠀⠀⠀⠀⣦⡀⣸⠿⣄⣼⠇⠀⠀⠀⠀⢸⡆ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⡇⢀⡾⠀⠀⠀⠀⠀⠀⢸⡇ ⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠀⠀⠀⠀⠀⠀⠀⡼⠀ ⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀ ⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀ ⠀⠀⠀⢰⡇⢩⣗⢲⡤⠤⠤⠤⠤⣴⢲⣯⡉⡇⠀⠀⠀⠀ ⠐⠶⠶⠾⠷⠿⠿⠿⠷⠶⠶⠶⠶⠾⠿⠾⠿⠷⠶⠆⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⢣⠀⡄⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠇⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢸⠀⡇⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⢸⣀⣼⣤⣴⡿⠶⠿⠿⠿⠿⠿⠿⠾⣿⣶⣧⣼⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⡾⡟⡏⣹⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡼⠋⠉⠛⠻⢿⣶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠟⠋⠀⠘⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣍⠙⢷⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⡀⠀⠀⠙⢷⣤⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⠋⠀⠀⢀⣠⣴⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢟⣩⣭⡉⠻⣦⡀⠀⠀⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣾⣿⡿⠁⠀⠀⣰⡿⣿⡿⠛⠻⣯⡻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⢻⡟⠉⠉⠻⣧⣸⡇⠀⠀⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀ ⠀⣠⡿⣱⡿⠁⠀⠀⠀⢿⣄⣿⣄⠀⠀⢹⣇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣾⣷⣀⣠⣴⣿⠟⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀ ⣴⡟⢠⡿⠁⠀⠀⠀⠀⠈⠛⠿⠿⠿⠶⠿⠛⠁⠀⠀⠀⠀⢀⣀⠀⣠⣤⣤⡀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀ ⠻⢶⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡾⣛⠛⠟⣋⣅⣈⣿⠀⣀⣀⠀⠀⠀⠀⣀⣀⣀⡤⠤⠤⢤⣀⣿⣀⠀⠀⠀⠀ ⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡶⠄⠹⣿⣿⣷⠀⣿⣭⣿⠟⠀⠙⠛⠻⣯⡭⠭⣉⣙⠓⠒⠢⠤⣀⣀⣿⠈⠉⠁⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⢀⣀⣠⢤⣤⣤⠤⣴⣿⣉⡀⠀⠀⠀⠉⠛⠻⢶⡾⠛⠁⠀⠀⠀⠀⠈⠉⢿⡖⠂⠤⢉⡁⠒⠢⠤⣼⡟⠓⠒⠤⠄⠀ ⠀⣿⣀⡤⠔⠚⢉⡡⠴⠚⠉⢀⣠⣴⣿⠿⠃⠀⢠⣄⠀⠀⠀⢠⣾⣇⠀⠀⠀⠀⣀⣤⡶⠀⠸⠇⠀⠀⠀⠈⠑⠢⣄⣼⠋⠑⠢⢄⡀⠀ ⠒⠻⣧⣀⠴⠚⠉⢀⡠⠔⣊⠿⠛⠉⠀⠀⠀⠀⠈⠛⠷⠶⠾⠟⠉⠙⠷⠶⠶⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠲⣄⠀⠀⠉⠒ ⣀⡴⠻⣷⣀⡤⠚⢁⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀⠑⢤⠀⠀ ⠁⢀⣠⣾⠿⣦⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⠀⠀⠑⢄ ⠀⠈⢰⡏⡰⠋⠛⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠋⠀⠀⠀⠀⠉⠛⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀
⣀⡀⠀⢀⣀⡀⠀⢀⣀⡠⠤⠤⠤⠄⣀⣀⠠⠴⠄⢒⡉⡅ ⠑⢄⡀⠀⠀⠀⠉⠁⢰⣿⠀⠀⠀⠀⠀⠀⠀⠐⢶⢇⠔⠁ ⠀⠀⢣⡠⠀⣉⡀⠀⠀⠁⠀⠀⢀⣀⡀⠀⠀⢀⡔⠁⠀⠀ ⠀⠀⠀⠃⣾⣻⡎⠄⠀⠀⠀⠈⡸⣯⣿⠀⠀⠀⢣⠀⠀⠀ ⠀⠀⠘⡄⠈⠛⠉⡤⠒⣖⠀⠀⠈⢉⠁⠀⠀⠀⠐⡇⠀⠀ ⠀⠀⠀⠡⡀⢀⡀⠳⠜⠈⠀⠀⣐⠀⡤⢀⡀⠀⡴⠀⠀⠀ ⠀⠀⠀⠔⢉⠷⣸⠺⡖⣦⣀⠪⢶⠉⠢⢀⡰⠊⠂⠀⠀⠀ ⠀⠀⠀⠀⠡⠊⠀⠑⠏⠜⢜⠄⢀⠡⠐⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡀⢀⣀⡤ ⠀⠀⠰⣿⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠟⠁ ⠀⠀⠐⡘⢿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⠟⣹⠛⣻⠟⠁⠀⠀ ⠀⠀⠀⠙⣮⣿⠉⢻⣿⣭⣿⡒⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣇⣼⡟⣼⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⢦⠀⠣⣈⠙⣇⠀⠙⢷⣦⡀⠀⠀⠀⠀⠀⠀⢀⡀⢀⡀⠀⣀⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⠋⢠⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣻⡜⠄⠀⠈⣤⡙⣷⡀⠀⠙⢿⣿⣷⣶⣷⣶⣶⣾⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢸⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣷⡤⠤⠀⠈⢯⣿⣷⠀⠀⣼⣿⣿⣿⣿⣿⣿⠇⠈⠉⠀⠀⠀⠀⣿⠋⠹⠇⠙⠻⠿⠿⣿⣿⣤⠀⢼⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⢿⣧⡕⠀⠀⠈⢻⣿⠇⣄⣹⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠹⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⣷⣿⠈⢇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⣏⢻⡅⣀⣀⣼⣿⡿⠿⠋⠙⠛⠛⠫⠷⢄⢀⡀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⢀⣠⣼⣿⣿⣿⡶⢾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠩⡟⠞⣴⣿⣿⠿⢿⣶⣶⣤⡀⠀⠀⠀⠀⠈⠑⠽⢦⡀⠀⠀⠀⠀⣰⠃⠀⠀⠀⣼⣽⣟⡟⠀⠘⠻⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣇⣼⣿⣯⠗⠀⠘⣯⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠈⢱⠀⠀⠀⠀⢿⠄⠀⠀⠀⣿⣿⡟⠁⠀⠀⠐⢻⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⣿⠙⣿⠧⠀⠀⠀⠀⠉⠻⠿⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠈⠙⠀⠀⠀⢀⣤⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡏⠀⠋⠀⠀⠲⢤⣀⡀⠀⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⢀⣶⢿⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⢻⠇⠀⠀⠀⠀⠀⠀⠙⢿⣿⡦⣀⡀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⣀⣀⣀⣉⣵⠟⢹⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢽⡀⠀⠀⠀⠀⠀⠀⢀⣀⠍⠛⠒⠿⣤⡈⠉⣉⣉⣑⠢⡄⠘⢶⣦⣄⣾⡟⠋⡁⠀⠀⡴⠋⠀⣈⣿⠓⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢺⠆⠀⠀⠠⠤⠒⠈⠁⠀⠀⠀⢀⣠⠄⢻⣧⠠⠄⠀⠁⠀⠀⠈⠋⢛⡉⠀⢦⡀⠭⣿⡗⠤⣀⡸⢿⠧⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⢀⠴⠊⠉⠀⠀⠀⡹⢦⣀⡀⢐⣀⣠⢤⠖⠛⠿⠲⣄⡈⣳⡿⡉⠓⢤⣝⢺⣀⠀⠙⠦⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⡇⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢀⠔⠉⠀⣠⠚⠛⠧⣄⠀⠀⠙⠓⠋⠀⢀⡼⠟⠀⠈⠑⢤⡘⣿⣆⠑⢄⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⡕⠀⠀⠀⣀⠔⠀⠀⠀⠀⠀⠖⠁⠀⢀⠔⠁⠀⠀⠀⠈⠛⠓⠶⠶⠚⠋⠉⢁⠀⠀⠀⠀⠀⠈⢧⠈⠢⡀⠁⠀⠀ ⠀⠀⠀⠀⠀⣸⡿⠁⠜⢀⠎⠁⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⢀⣄⠢⠸⣶⠀⠙⠀⠀⠀ ⢀⠀⡀⣀⣠⣋⠁⣀⣐⣁⣀⣉⣀⣀⡠⠀⠀⢀⣠⣠⣃⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⣀⣀⣀⣀⣀⣠⣀⣨⣻⣷⣀⢹⣦⠀⢀⡀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢼⡿⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡃⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡇⠈⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠁⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠁⠐⣆⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢏⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠘⣎⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⡞⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠘⣎⣿⣆⠀⣀⣠⣤⣤⣤⣶⣶⣶⠶⡶⢿⣶⠷⣶⣶⣦⣾⡏⢼⣁⣀⠀⠀⠀⠀⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⣈⡏⠿⠿⠟⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠲⠤⣨⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⢦⡤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣀⣀⡀⠀⠀⠀⠀⠀⠉⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⠿⠿⢿⣿⣟⠀⠀⠀⠀⠀⠀⠈⠻⢿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀⠀⠀⠀⠀⢴⣾⡿⠛⠛⠛⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⢀⣼⣇⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⠀⠀⣻⣿⠀⠀⣠⣾⣿⣿⡇⠀⠀⣀⣠⣴⣦⡄⠘⣿⣦⠾⢿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⡀⠀⠀⠀ ⠀⠀⠀⢠⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣟⠙⣿⣿⣿⣿⠃⠀⠀⠘⢿⣿⡟⠁⠀⠘⢿⣶⣤⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢰⣤⣤⣿⣦⣤⣤⡄ ⢀⣀⣤⣿⣧⣤⣤⠄⠀⠀⠀⠀⠀⠀⠐⣿⣿⣶⣿⣿⢿⡇⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣁⣸⣿⡉⠙⠃ ⠘⠛⠛⣿⠉⣩⢡⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣿⠄⣿⡛⠁⠀⠀⠀⠀⠀⣿⠛⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⢻⡿⠛⠿⠆ ⠀⣤⣼⣿⣷⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⠀⠀⠀⠀⠀⠘⠻⠂⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀ ⠀⠙⠉⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣤⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⠀ ⠀⠀⠀⢽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⣥⣶⠶⠿⠛⠛⠿⢶⣦⡶⠾⠛⠛⠻⠷⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡏⠀⠀⠀⠀ ⠀⠀⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠉⠀⠀⠀⢠⣤⣴⠿⠛⠻⣷⣤⣄⠀⠀⠀⠈⠛⢷⣦⡀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢿⡄⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⠁⠀⠀⠀⠀⠀⠙⣿⠁⠀⠀⠀⠀⣿⠟⠀⠀⠀⠀⠀⠈⠹⣷⡀⠀⠀⠀⠀⠀⢠⣿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣦⣀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣆⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⣷⣤⡀⢠⣿⠃⠀⠀⠀⣠⣦⣤⣤⣤⣶⠿⠁⠀⠀⠀⠀⠻⣷⣦⣤⣤⣴⣦⠀⠀⠀⠈⢿⣶⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⡏⠀⠀⠀⠀⣾⠃⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⣿⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⢽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⣉⠀⠀⠀⠀⢙⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡛⠁⠀⠀⠀⢘⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⢣⡝⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢃⡟⢷⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⣸⣁⣸⡇⠹⣿⡶⠿⠟⠛⠛⠻⠿⢶⣦⣄⣀⠀⠀⠀⢀⣴⠾⠛⣉⢹⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣦⡴⠋⣡⠖⢋⡏⣾⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠦⠳⣄⣸⢇⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠹⣿⣉⣿⡿⢷⣄⠀⠀⠀⠀⠀⢀⣠⣤⣤⣄⡀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠓⠾⣿⡀⠀⠀⢀⣴⣿⣏⣹⣏⣽⣿⠷⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⣃⣀⡀⢹⡇⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢐⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡀⠀⠘⣿⠙⢛⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣇⣙⠆⠀⢸⣿⠋⢁⠀⣤⠲⣦⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠻⠛⠻⢶⣬⣤⣤⣴⠿⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣤⣄⣀⣴⠆⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡆⠀⠀⠀⠀⠀⠀ ⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀ ⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣠⠞⢁⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠀ ⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠿⠁⠈⠉⠖⣯⣀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⢸⣿⣀⣤⣤⡀⠀ ⣸⡇⠀⠀⠀⠀⠀⠀⠀⢀⣶⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⠀⠀⣸⠇⠀⠀⠀⢰⡏⣿⠀⠀⠀⠀⠀⠀⣿⡟⠋⢹⣿⡄ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⢀⣠⡾⠋⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⣼⠀⣿⠀⠀⠀⠀⠀⠀⣿⡇⠀⢸⡿⠀ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⢀⣠⡴⠟⠁⠀⠀⠀⠀⠀⣠⡾⠟⠁⠀⠀⠀⣴⡾⠟⠀⠻⣷⣄⠀⠀⠀⠀⣿⡇⢀⣿⠃⠀ ⣿⡇⠀⠀⠀⠀⠀⠀⢀⣰⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⢀⣼⠋⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠉⣿⠄⠀⠀⠀⣿⡇⣸⡏⠀⠀ ⢻⡇⠀⠀⠀⠀⠀⣴⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⣿⣇⣿⠁⠀⠀ ⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀ ⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢿⣧⠀⠀⠀⢰⣿⣿⠃⠀⠀⠀ ⢸⡟⢻⣷⣄⠀⠀⠀⠀⠀⠀⣀⣴⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠸⣿⡆⠀⠀⣸⣿⣿⠀⠀⠀⠀ ⠉⢉⠀⠉⠉⠉⠙⠉⠘⠉⠉⢉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⢉⠀⠀⠀⠈⣉⡉⠀⠀⠉⣉⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠿⠶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⣠⣶⡶⢶⠶⠶⠶⠶⣶⣶⣤⣄⣀⠀⠀⠀⠈⠙⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⢿⡆⠀⠀⠀⠀⡿⠀⢠⡟⠁⢠⡾⣷⡀⠀⠀⠀⠀⠉⠉⠙⠛⠿⣶⣤⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡟⠀⣷⠀⠀⠀⠀⡇⠀⢸⠀⢠⡟⠁⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠀⢹⡀⠀⠀⠀⣠⡾⠟⢿⡄ ⠀⢸⠇⢀⣿⣤⣤⣤⣴⣷⣶⣼⣤⣟⡀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠸⡇⠀⠀⣰⡟⠁⠀⢈⡇ ⠀⣸⠀⠛⠋⠉⠀⠀⠀⠀⠀⠀⠉⠛⠃⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣇⣀⣼⠟⠀⠀⠀⣼⠃ ⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⢸⠏⠉⠁⠀⠀⢀⣼⠏⠀ ⣾⠀⣶⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⣾⣦⣤⣤⣴⡾⠟⠁⠀⠀ ⡇⠀⠈⠀⠀⣿⣿⣾⡇⠀⠀⠀⠀⠘⠟⠀⠀⣠⣷⣄⡀⠀⠀⠀⠀⠀⢀⣠⡾⠃⠀⣸⠇⠀⠉⠁⠀⠀⠀⠀⠀⠀ ⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⢿⣭⣽⡛⠻⠷⠶⠿⠿⢛⣉⣠⣄⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠛⠷⢶⣶⣤⣤⣤⣤⣤⣤⣤⡶⠿⠛⢁⡾⠉⠉⣻⠀⠀⠀⠀⠸⣿⠋⠉⢻⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡿⠁⢈⣿⣷⠶⠶⢶⣶⡟⠁⣠⣾⠿⢶⣶⣶⠶⢶⠿⣷⣄⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⣯⣴⠾⠟⠋⠁⠀⠀⣼⢋⣠⣾⠟⠁⠀⠀⠀⢿⡄⠸⣇⠈⠻⣷⣌⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠛⠛⠋⠀⠀⠀⠀⠀⠀⠈⠻⣦⣿⠀⠀⠈⠻⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⡀ ⠀⠀⡤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⢡ ⠀⠀⣇⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢂⠀⠀⠀⢘ ⠀⠀⠸⡀⠀⡀⡻⣦⣤⣄⡤⢤⣤⣤⣊⣐⠅⠀⠀⠀⣼ ⠀⠀⠀⢻⢄⢰⢖⢽⠿⠋⠀⠀⠉⢩⢿⢿⣎⠄⠀⡠⠙ ⠀⠀⠀⠈⡤⣁⠈⠘⠄⠀⠀⠀⡠⣄⢠⡜⢉⠃⠰⠐⠁ ⠀⠀⠀⢀⠃⠠⢾⠵⠆⠀⠀⡔⠧⠻⠜⠁⠀⢱⠀⢰⠀ ⠀⠀⠀⠸⠒⢼⠀⢠⡊⣉⡆⠀⠀⠀⠀⠀⠀⠀⠑⢼⠀ ⠀⠠⠄⡐⢗⣾⡀⠀⣑⣎⡀⠀⠐⢀⠄⣂⠠⠂⠀⠸⠀ ⠔⢊⠡⠂⡹⠀⠑⢚⠂⠔⠊⠁⠂⠁⠁⠀⠀⠢⠀⠀⡆ ⠐⠁⢀⠏⠀⠀⠀⠀⠁⠀⠄⠒⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⢀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃ ⠄⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠂⡄⠘⠄⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⢇⠘⠁⢏⣁⠁⢂⠀⠉⡱⠂⠀⠀⠀ ⢀⣤⣴⣲⡄⠤⠄⣀⡃⠀⠀⢁⡖⢆⡁⠀⡸⡸⡎⠀⠀⠀⠀⠀ ⣾⣾⣇⠠⠄⠀⠤⠄⣀⢱⣦⠀⠈⠀⠈⠁⠀⠀⡇⠀⠀⠀⠀⠀ ⠘⡇⠑⠢⢄⣀⣀⣀⣀⡽⡟⡇⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀ ⠀⠈⠢⣀⠀⠀⠀⢰⡉⠁⠘⠣⠤⠤⠞⠁⠀⠀⠸⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠉⠀⢻⠳⢤⡀⠀⠀⠀⠀⣀⠄⠀⠀⢧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣼⠀⠀⠈⠑⠒⠒⠋⠀⠀⠀⠀⠸⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢣⢹⠀⠀⠀⠀⠀⠀⡴⠋⠉⠃⠀⠀⢹⠀⠀⠀ ⠀⠀⠀⠀⠀⣖⡚⠛⢆⠀⠀⠀⠀⠀⢣⡀⠀⠀⠀⠀⠘⠳⢤⡀ ⠀⠀⠀⠀⠀⠙⢇⣀⢤⢗⡢⢄⣠⣎⠉⠉⠃⠀⠀⣠⢻⡄⠀⢳ ⠀⠀⠀⠀⠀⠀⠀⠈⠑⠉⠋⠚⠉⠙⠦⢤⣤⣖⠪⠥⠊⠀⠀⣼ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀⢀⣠⠜⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠒⠒⠚⠋⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⡿⣷⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡾⠿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠏⠀⠈⣿⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠁⠀⠘⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠏⠀⠀⠀⢹⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠈⢻⣧⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⢻⣧⣀⣤⣴⠿⠿⠟⠛⠛⠛⠛⠿⠿⠷⢶⣦⣤⣄⣴⡿⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠸⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⠁⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡆⠀⠀⠀⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡅⠀⠀⠀⢸⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣷⡀⠀⠀⠘⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠹⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠈⠻⣷⣄⠀⠀⠘⣿⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⢠⣦⣤⣴⣾⣟⠁⠀⠀⠈⠛⠿⣶⣶⣶⣦⠀⠀⠀⢰⣶⣶⣿⣟⡁⠀⠀⠘⠛⢿⣶⣤⣽⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠈⠉⠉⠉⠉⠻⢿⣆⠀⠀⣠⣾⠿⠛⠉⠉⠀⠀⠀⠀⠀⠀⠉⠙⢿⣦⡀⠀⣴⡿⠛⠉⠉⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣇⣸⡿⠁⠀⠀⢠⣤⠀⠀⠀⠀⢠⣦⠀⠀⠀⢿⣇⣾⡟⠀⠀⠀⠀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠇⠀⠀⠀⠘⢿⣦⣴⣿⣤⣼⡿⠀⠀⠀⢸⣿⣿⠁⠀⠀⠀⢠⣿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡀⠀⠀⠀⠀⠀⠈⠀⠈⠉⠉⠀⠀⠀⠀⠈⣿⡏⠀⠀⠀⢀⣿⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣽⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠇⠀⠀⣠⣿⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠿⠛⠉⠙⠿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡿⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠁⠀⠀⠀⣠⣶⠿⠻⠿⣶⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣴⣶⣾⡟⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⢠⣾⠟⠁⠀⠀⠀⠀⠉⠛⠛⢿⣿⠿⠶⠶⠶⠶⣶⡾⠷⠿⠿⠿⠿⣿⣟⡋⠁⠀⠘⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠀⠀⠙⢿⣆⠀⠀⠀⠀⠈⠛⣿⣦⡀⠀⠀⠹⣿⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣄⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀⠀⠈⢻⣧⠀⠀⠀⠘⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⠀⠀⠀⠀⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⢈⣿⠆⠀⠀⠀⢹⡇⠀⠀⠀ ⢠⣾⠿⠛⠻⠿⣷⣶⣤⣴⡿⠏⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⢀⣾⠇⠀⠀⠀ ⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠁⠀⠀⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⣾⡟⠀⠀⠀⠀ ⠹⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⣰⡿⠀⠀⠀⠀⠀ ⠀⠈⠙⠻⣷⣤⣄⠀⠀⠀⠀⠀⠀⣠⣶⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣶⣶⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⣴⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠿⠷⠶⠶⠶⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⠒⠒⠊⠉⠙⠒⢤⡠⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⡎⠉⠹⠉⠁⠒⠒⠢⢤⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡇⠀⠀⠀⠀⠀⠀⠀⣾⣀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣋⣀⡈⠙⠦⣄⡀⠀⢀⣀⣀⠤⠾⠼⠧⠤⠤⠤⣀⣀⡞⠀⠀⠀⠀⠀⢀⣀⣠⠤⢤⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢸⣿⣿⣿⣷⣆⠈⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠲⡤⠖⠚⠉⣉⣤⣤⣤⠀⣹⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⣾⣿⣿⣿⣿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠋⠁⠈⡿⠃⢀⡏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣿⣿⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠼⠃⠀⡸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠈⠉⠁⠀⠀⠀⠀⠀⢰⣤⣀⣄⣰⣄⢀⠀⠀⠀⣿⣦⣀⣀⣀⢀⡀⠀⠀⠀⠀⠀⡾⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡷⠀⠀⠀⠀⠀⠀⠙⠳⡄⠈⠛⠛⣿⠛⠻⡿⠇⠀⠀⡿⠛⠛⠛⠛⠻⠿⠆⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡴⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣶⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⡿⠿⠀⠀⠀⠀⠀⠀⢧⢰⣾⡇⠰⣼⡃⢺⣷⡿⠳⠀⠀⢠⠴⠚⠚⢻⡏⣩⣹⣿⡀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣾⣿⡿⠁⠀⠀⢰⡆⠀⠀⠀⠀⠀⠉⠙⠂⠀⠉⠉⠙⠁⠀⠀⠠⡏⠀⠀⠘⠻⠧⠬⠟⠀⠁⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣴⣾⣿⠛⠀⠁⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⢀⣀⠤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠤⣄⠀⢀⡀⠀⠀⠀⠀⠢⣀⠀⠀⠀⢸⠀⠀⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⢰⠣⣀⡈⠉⠙⠋⡄⢀⡴⠃⠀⠀⠀⠀⣀⠤⢄⣠⠤⠤⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠤⠬⢤⣀⣈⣩⣭⠿⠛⠁⠀⠀⠀⠀⢠⠋⢤⠔⠚⠓⢦⡀⢘⣆⣀⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⢄⣉⡉⠉⠁⢀⣈⣉⣉⣻⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⡼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⡼⣇⢠⣯⠥⢤⡄⠀⠀⣆⠀⢶⡆⠰⣇⠀⠠⡆⠀⣧⣠⣧⢠⣚⣱⡆⠀⠀⢰⠇⠀⠀⢠⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⡓⠋⠀⢙⠂⠈⠉⠁⠀⠉⠀⠉⠁⠈⠉⠁⠀⠁⠀⡁⠀⠈⠀⠀⣀⠀⠀⢀⣾⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠟⠛⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠋⠀⠀⠀⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡤⠚⠛⠛⠷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠋⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠁⠀⠀⠀⠀⠀⠈⠙⠛⠿⣶⣤⣀⠀⠀⠀⠀⠀⢀⣀⢰⣄⣄⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⣦⣴⡶⣶⠟⠿⠟⠟⢿⣿⣦⣆⣀⣀⣀⡀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⣾⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣿⣶⡤⠹⣷⣦⡀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢳⠀⠀⠀⠀⠀⠀⠀⣠⡾⢛⣿⣷⣯⣅⠀⠀⠀⠀⠀⠀⠀⠀⣾⢟⣿⣧⣌⠻⣄⣽⣯⣤⣀⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⣼⠏⣰⡿⢟⣩⣌⡉⢻⡆⢠⣶⡊⢉⣹⣗⣿⢿⣼⡿⠿⠛⠁⠘⢿⣿⣍⣛⣖⡂⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢄⠀⠀⠀⠀⣼⣯⠄⠸⣇⣿⣿⣽⠷⠊⠀⠺⠿⢿⡞⣻⠛⠁⠀⠀⢰⠀⠀⠀⠀⠀⠘⢿⣖⠚⣻⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠈⠱⡀⠀⠀⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⡘⠀⡠⢤⣐⣒⣒⣚⣻⣗⢻⣿⣶⠂⠤⠤⠤⠀ ⠀⠀⠀⠀⢉⠶⡠⠛⣻⡿⠁⠀⣀⣤⣴⡶⠉⠁⠀⠀⠀⡔⠛⠲⣄⠀⠈⠀⠀⠙⠦⢧⣘⣒⠒⠤⢽⣿⣹⣟⠓⠒⠤⣄⡀ ⠀⠀⠀⣰⢃⣾⢃⣼⣿⣴⠶⢛⣿⣛⢉⡡⠆⠀⠀⠀⣼⠖⠒⠓⠚⢦⣄⠀⠀⠀⠈⠓⠶⢦⣍⣁⠒⢻⣤⣙⡗⠒⠠⢄⣀ ⠀⠀⠀⢿⣞⣷⡿⢟⣯⣴⡾⠛⣩⣷⠟⠉⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠈⠛⢍⣲⡿⣧⣙⡒⠀⠀⠀ ⠀⠀⠀⠸⢋⣿⣿⣿⣿⡥⣴⠟⠋⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠙⠳⣿⣯⣿⡦⡀⠀ ⠀⢀⡠⠒⣹⣿⣿⣿⡯⠊⢁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡂⠀⠀⠀⠀⠀⠙⢯⠁⠀⠀ ⠐⠉⠠⠊⣽⣟⣹⠋⠀⠴⠗⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⡀ ⠀⠀⠐⠁⠘⠈⠁⠀⠀⠀⠀⠉⠛⠿⠿⠶⠤⣀⣀⠀⢀⣰⣄⣤⣄⡀⣠⡤⠜⠛⠉⣁⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⣹⠇⡏⠋⢳⡀⠠⠒⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠒⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⡼⠇⠀⠀⠀⠘⡆⠀⠀⠐⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠓⠢⢼⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠈⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⢀⡼⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⢠⠞⠀⢹⡄⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⢹⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⡿⣯⡷⡴⢦⣤⡠⣶⡶⠀⢷⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⡾⠀ ⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⣼⣥⣤⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⠀⠈⢧⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠉⠙⠻⢿⣿⣿⣿⣿⣿⣿⠛⢦⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠳⠀⢳⡀⢹⡇⠀⠀⠀⠀⠀⡾⡇⠀ ⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡿⠘⠀⠀⠹⣼⡇⠀⠀⠀⠀⢠⠇⠀⠀ ⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⠁⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⡾⠀⠀⠀ ⠀⠀⢠⡏⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠁⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⢸⠁⠀⠀⠀ ⠀⠀⡾⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⡟⠀⠀⠀⠀ ⠀⣴⠓⣾⣳⣀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠃⠀⠀⠀⠀⠀⠀⢸⡇⢀⠇⠀⠀⠀⠀ ⣾⠃⠀⠀⠀⠑⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⠀⠀⠀⠀⠀ ⠹⡀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⠀ ⠀⢳⡄⠀⠀⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⣿⠀⠀⠀⠀⠀ ⠀⠀⣷⡄⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⡏⠀⠀⠀⠀⠀ ⠀⢀⡇⢹⣄⠀⠀⠀⠀⣀⠉⠓⠶⢄⡀⠀⠀⠀⠀⠀⢀⣠⠴⠋⠣⣄⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⣸⣧⠀⠀⠀⠀⠀ ⠀⣴⣿⠋⠘⣆⠀⢰⠶⠤⢍⣛⣶⠤⠿⣷⣦⡀⠒⠚⡟⠀⠀⠀⠀⠈⠛⠢⠤⡄⠀⠀⢀⡴⢯⠴⣳⠇⠀⠀⠀⠀⠀ ⠀⠀⠉⠀⠀⠘⢦⡈⠻⣖⠤⣤⣉⣉⣹⣯⣭⠉⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠛⣫⣼⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠑⣄⠉⢦⡀⠀⠀⠈⠉⠁⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣷⢚⡝⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢶⣷⠇⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠷⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⢀⡾⢿⡟⠲⣄⡀⠀⠀⠀⣠⠖⠒⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠁⠈⣷⠀⠈⠙⣦⣤⣞⣁⣠⡀⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⡇⠀⢀⡏⠀⠀⠀⠈⠀⠛⠛⠛⠛⠛⠾⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⠀⠀⠀⠠⣲⣿⣄⠀⠀⠀⠀⠀⠀⢠⠞⠻⠿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣰⠏⠀⠀⣠⡼⠡⡦⢈⡧⠀⠀⠀⠀⠀⠹⣤⣀⣤⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⡏⠀⠀⠀⠈⠙⠲⠶⠚⠁⠀⠀⠘⣻⡤⠶⠶⠷⢦⣸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⠯⢭⣿⠁⣴⠞⠛⣷⡄⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⢰⡏⠁⠀⢠⡏⡏⠀⠀⢠⡆⠀⠀⣤⡤⣤⠀⣶⠀⠀ ⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢠⡇⠀⠀⢸⠀⡇⠀⠀⢸⡇⠀⠸⣏⠀⣸⡇⣿⠀⠀ ⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢰⠇⡞⠀⠀⠀⢸⠀⡇⠀⠀⠘⠿⠾⠆⠙⠿⠛⠀⠻⠶⠇ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠠⠬⣿⠀⣇⠀⠀⢀⡾⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣍⣛⣛⣭⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⠒⢄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡰⠊⠉⢓⠄⡄⠂⠈⠑⡄⠀⠀⠀ ⡠⠒⠒⠀⠤⠔⡢⠉⢀⢀⠀⣆⣢⠁⠀⠀⠀⠷⡀⠀⠀ ⡇⠀⠀⠀⠀⠌⣀⠠⠤⠭⠩⠤⢀⡑⠠⠄⠊⠀⠈⢆⠀ ⢸⠀⢠⠔⠊⠁⣄⡀⠀⢀⣴⠖⠃⠀⠑⠠⡀⢀⡠⠬⠆ ⠘⡄⡏⠛⢶⢦⡎⣱⠀⠙⠚⠉⠀⠀⠀⠀⠈⣇⠠⠤⢼ ⠀⢹⠀⠀⠀⠀⠈⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠤⠤⡼ ⠀⠸⡀⠀⡆⠀⠀⡕⢄⡀⠀⠀⠀⠀⠀⠀⠠⠃⠀⡰⠁ ⠀⠀⠳⣄⠈⠢⡜⠀⠀⠈⠐⠒⠁⢀⡠⠐⢁⠤⠊⠀⠀ ⠀⠀⠀⠀⠉⠲⡈⠥⠤⠤⠄⠐⣈⠥⠐⠈⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠘⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠋⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⣠⣤⡾⠿⠿⠿⠛⠛⠻⠿⠶⠶⣿⣥⣄⡀⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣶⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣧⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀ ⠀⠀⢀⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⣆⠀⠀⠀⠀⠀⠀⢰⣶⣶⡀⠀⠀⠀⠀⠙⣷⣄⠀⠀ ⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⢀⡀⠀⠀⡀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀ ⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣤⣼⠇⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄ ⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⣆⠀⠀⣨⣿⣷⣄⣀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⠟⠁⠀⢹⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿ ⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⣠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿ ⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇ ⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠀ ⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀ ⠀⠀⠀⠀⠙⢷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢙⣿⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣾⡏⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡏⠀⢉⣿⡿⠶⣶⣤⣤⣄⣀⣀⣠⣤⣤⣴⡶⠾⣿⣏⠁⢹⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣸⣇⢠⣿⣿⣷⣤⣿⣀⣀⣀⣀⣉⣉⣀⣀⣸⣧⣼⣟⣻⣧⣼⣇⣀⠀⠀⠀⠀⠀ ⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣾⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣶⣶⣤⠤⠴⠒⠒⠒⠚⠛⠓⠒⢖⣦⠤⣤⣶⣶⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣯⡻⣷⡽⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠺⠝⠟⣼⠟⣡⣿⡿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⡛⠉⠀⠀⠀⣀⣤⣶⣶⣿⣿⣿⣿⣶⣶⣤⣀⠀⠀⠀⠉⣟⢿⡟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⡟⠁⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠈⢣⣱⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⡞⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⠇⠸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⢧⢻⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢱⠁⣾⣿⣿⠛⢿⣿⠟⢻⣿⣿⡟⠀⠀⢻⣿⣿⡟⠛⢿⣿⠟⢿⣿⣷⠈⡎⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⢸⣿⣿⣿⣦⣄⣥⣴⣿⡿⠋⢀⣀⣀⠈⠙⢿⣿⣦⣄⣿⣶⣿⣿⣿⡇⡇⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠛⠓⠒⡷⠶⢷⣿⣿⣿⣿⣿⣿⠛⠉⠀⣠⣼⡿⢿⣁⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⠶⠶⢾⠖⠒⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⣤⡤⠤⢿⡤⠴⣾⠿⣿⣿⣿⣮⠀⢠⠞⠁⠛⢀⣼⠋⢳⡄⠀⠀⣽⣿⣿⣿⠿⣷⠶⢤⡾⠤⢤⣤⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣀⣈⣤⣼⠛⠿⣿⣷⣏⠀⠀⠀⠀⠁⠠⠟⣿⣶⣾⣿⠿⠛⢧⢤⣀⢀⡼⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠞⠛⠯⣄⡈⠲⢤⡼⠃⠙⠲⣄⡀⠀⠀⠀⣼⠟⠛⠉⣀⡤⠖⢁⣠⠽⠛⠳⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢓⡾⠁⠀⠀⠀⠈⠙⠦⣄⣼⢁⣒⣒⣩⠥⠴⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⠢⣄⡀⠀⠀⠀⠀⢠⡟⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢤⣀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠊⠙⣆⠀ ⠀⠀⠀⠀⡦⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠸⡄ ⠀⠀⠀⠀⣧⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⢻⡄⠀⠀⠈⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⣽ ⠀⠀⠀⠀⠘⡧⠀⠀⠀⠀⠙⣿⣧⣀⠀⠀⠀⠀⢀⢀⣀⣀⣀⣀⡴⠋⢀⠔⡀⠀⠀⠀⠀⠀⢰⡏ ⠀⠀⠀⠀⠀⢹⣆⠀⠐⢆⠘⢌⣻⣿⣿⣿⣿⠟⠋⠙⠻⣿⣿⣿⣦⣴⣧⡊⢀⠤⠂⠀⠀⠀⡞⡇ ⠀⠀⠀⠀⠀⠀⢻⠣⡄⠀⢷⣞⣿⣿⡿⠏⠋⠀⠀⠀⠀⠀⠀⢩⣿⣿⣷⣏⠳⣄⠀⠀⠀⡼⢰⠃ ⠀⠀⠀⠀⠀⠀⠘⡆⠘⠦⠋⠘⣇⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⢹⠿⢿⣆⠀⠀⡞⢀⠞⠀ ⠀⠀⠀⠀⠀⠀⠀⢿⠂⢀⣀⣀⠀⠈⢳⠀⠀⠀⠀⠀⢀⡴⣶⣎⠙⣾⣉⣀⣀⡀⠀⠸⠀⢸⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⡼⠀⢸⡀⣾⡟⣶⡾⠀⠀⠀⠀⢀⢼⣆⠻⣿⣆⡿⠁⠀⠀⠑⡄⠀⠀⢸⠃⠀ ⠀⠀⠀⠀⠀⠀⢠⡇⠀⠈⣉⠽⠋⠹⢁⣀⣀⠀⠀⠋⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⢷⡀⠀⠸⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡗⠲⣼⡇⠀⠀⢰⠋⠀⢀⣹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣣⣀⣘⡇⠀⠀⠘⢷⡀⡿⠛⠁⠀⠀⢀⡀⠤⠤⢀⡀⠀⠀⡀⠀⠀⠀⢸⠀⠀ ⠀⠀⠤⠒⠊⣉⠡⠼⣖⣺⣷⠄⠀⢀⣀⣹⣥⣀⠀⠀⠈⠉⠩⣹⡒⠤⣌⡤⠚⠁⠀⠀⠀⢸⡀⠀ ⠀⣀⠤⠒⠉⡀⠔⠊⢻⠀⠈⠓⢤⡽⠦⣀⣀⡴⠏⠑⠢⠔⠚⠁⠙⠢⡀⠉⠒⢄⡀⠀⠀⠘⡇⠀ ⠈⠀⢀⠴⠊⠀⣀⡠⠊⠀⠀⠀⠀⠳⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠀⠀⠈⠂⠀⢀⣷⠀ ⠀⠘⠁⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⠤⠤⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀ ⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀ ⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀ ⠀⢀⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠀⠀ ⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠠⡠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡄⢰⠀⠃⢀⢀⣀⣀⣀⢡⡇⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣘⡬⣾⠲⠛⠉⠉⠉⠉⠉⡿⠟⠶⢦⣤⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⠟⠁⠈⠻⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣍⢳⠄⠀⠀⠀⠀ ⠀⠀⣠⣶⠏⠁⣠⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⢀⣖⣫⣝⠳⡄⠈⢻⡀⠀⠀⠀⠀ ⢀⡴⡿⠁⠀⢸⣹⡋⠈⢳⣷⠀⠀⠀⠀⠀⠀⢸⣽⣀⣈⡷⠃⠀⠀⠹⡄⠀⠀⠀ ⣞⣰⠃⠀⠀⠀⠙⠛⠓⠋⠁⠀⢀⣤⣤⠴⢶⡄⠈⠉⠉⠀⠀⠀⠀⠀⢹⠀⠀⠀ ⢀⡏⠀⠀⠀⠀⠀⠀⠀⣠⠴⠆⢻⣿⡆⣯⡿⠃⠛⢲⣦⠬⠙⣓⠠⠌⣹⡁⠀⠀ ⢸⣁⠠⠄⣒⠦⠘⣋⣽⠵⠂⣀⠀⠈⣹⡍⠀⠀⣀⡤⠸⠎⠁⠒⠬⣁⡟⠠⢁⠀ ⠈⣷⡐⢉⠠⣒⠝⠉⠀⠀⠀⠈⠓⠚⠉⠙⠓⠛⠁⠀⠀⠀⠀⠀⠀⣸⠓⠢⡀⠁ ⠉⢠⡟⣦⡊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠃⠀⠀⠈⠢ ⠀⣸⠊⠀⠙⠲⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⠀⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀ ⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀
⠀⠀⠀⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀ ⠀⠀⠀⢸⡈⠓⢄⠀⠀⣠⠄⠒⠊⠉⠉⠉⠉⠉⠒⠢⠤⣀⠀⠀⣠⠔⠊⡽⠁⠀ ⠀⠀⠀⠀⢇⠀⠀⣩⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠫⡀⠀⡜⠀⠀⠀ ⠀⠀⠀⠀⠸⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡎⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠃⠀⠸⠟⠛⠀⠀⠀⠀⠀⠀⠀⠺⠽⠷⠂⠀⠀⠀⠀⠈⠢⡀⠀⠀ ⠀⠀⡔⠭⠤⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣀⣀⠀⠀⠈⢄⠀ ⠀⡘⠐⠒⠒⠒⠀⠀⠨⠂⢰⣶⡶⠀⠀⠀⠐⢉⡉⠤⠤⠤⠤⠀⠀⠀⠤⠀⠈⡆ ⠀⡇⠐⠈⡉⠄⠤⠤⠁⠀⠀⠀⠀⠀⠀⠈⠡⠀⣂⣒⠒⠂⠀⠐⠒⠠⠄⠀⠀⡇ ⠀⢳⠀⠈⠠⠂⠉⢀⣀⣤⠶⠶⠾⠶⠿⢶⣦⣅⠀⠀⠀⠉⠉⠀⠂⠄⠀⠀⠀⠇ ⠀⠈⣦⠀⠀⠀⠐⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀ ⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀ ⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀ ⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀ ⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠉⠲⡀⠀ ⠀⠀⢀⡤⠒⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠃⠀⠀⠀⠘⢄ ⠔⠊⠁⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⡀⠀⠀⠀⠀⠀⢀⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠂⠒⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠋⣤⡈⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠏⣼⣿⣿⡈⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⢠⣿⣿⣿⡇⠘⢿⣿⠿⠿⠿⠿⠿⠿⢷⣶⣤⣄⡀⠀⠀⠀⢀⣠⣶⠿⠛⡉⢹⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠈⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣷⣶⣴⡿⠋⣡⣶⣿⣿⣼⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣷⠘⣿⣿⣿⡇⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠛⠛⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⣴⣶⠟⣷⣶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⠀⠀⠀⠀⠈⠻⠶⣿⣧⣬⣿⡇⠀⠀⠀⠀⣀⣴⡿⢿⣿⠻⣿⣶⡄⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⡄⠀⠀⣼⡟⠛⠳⠾⠿⠿⠛⠋⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣄⣛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⢻⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣄⣀⡀⣀⣿⡿⠋⠀⠀⠀⠻⣷⡄⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⡛⠛⠛⠛⢿⣶⣦⣤⣤⣶⠿⠃⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⣤⣀⣤⣶⠌⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀⠀⠀⠀ ⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀ ⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣶⣶⣾⠏⣡⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀ ⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠙⠋⠀⠈⠀⠘⣿⡄⠀⠀⠀⠀⣰⣶⣦⠀⠀⠀⠀⠀⠀⣿⣧⣤⣤⣤⣀ ⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⣿⠉⣿⠀⠀⠀⠀⠀⠀⢹⣿⠋⠀⠹⣿ ⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⢰⣿⢸⡇⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⢰⣿ ⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢀⣠⣴⠿⠋⠁⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⣠⣾⡿⠃⠸⣿⣦⡀⠀⠀⠀⠀⢸⣿⠀⠀⣿⠇ ⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣷⠾⠟⠋⠁⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠙⣷⡄⠀⠀⠀⢸⣿⠀⣸⡿⠀ ⢻⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠁⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⢀⣿⠇⠀⠀⠀⢸⣿⢀⣿⠃⠀ ⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⣾⠏⠀⠀⠀⠀⢸⣿⣼⡟⠀⠀ ⢸⣾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⣿⣿⣿⠁⠀⠀
⠀⠀⠀⠀⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀ ⠀⠀⠀⠀⠀⠸⣷⣦⣤⣀⡀⠀⢀⣀⣀⣀⣀⡀⠀⢀⣀⣤⣴⣾⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⠟⠉⠁⠀⠀⠀⠀⠐⠫⠻⢿⣟⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡹⡍⠀⣀⣴⣶⣿⣿⣿⣿⣶⣦⣀⠀⢫⢏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡍⣠⣾⣿⣿⣿⣿⡏⢹⣿⣿⣿⣿⣷⣄⢫⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⣰⣿⣧⣙⣫⣿⠟⠀⠀⠻⣿⣌⣋⣽⣿⡆⢸⠀⠀⠀ ⠀⠀⠀⠈⠉⠁⡗⢛⣿⣿⣿⠏⢁⢔⡟⣫⢄⠈⠹⣿⣿⣿⣛⢺⠃⠉⠁ ⠀⠀⠀⠀⠉⠁⠙⣄⡡⡝⠻⣷⡇⠀⠀⠁⢞⣦⡾⠟⢫⢌⣠⠋⠈⠉⠀ ⠀⠀⠀⠀⠀⠀⠈⠈⠑⠤⡱⠁⠈⠒⢄⢀⠎⠡⣔⡊⠤⠊⠁⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠄⡀⠀⢠⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠋⢁⣠⣤⣤⣤⣀⣈⠉⠉⠛⠲⢦⠀⠀⠀⠀⠀⠀ ⠀⡰⢇⠀⠀⠸⠀⡏⢠⠾⡄⠀⠀⠉⠉⠛⠲⡄⠀⢧⠀⠀⠀⣀⡀ ⠀⡇⣸⣠⣤⣤⣤⣤⣇⠀⢱⠀⠀⠀⠀⠀⠀⢸⠀⢸⠀⢀⡞⠁⢹ ⢠⠃⠉⠀⠀⠀⠀⠈⠉⠀⢸⠀⠀⠀⠀⠀⠀⢸⠀⢸⠴⠞⠀⢀⡎ ⡎⢤⠀⣀⢀⠀⠀⠀⣀⠀⠈⠆⠀⠀⠀⠀⠀⡼⠀⡼⣤⣤⠶⠋⠀ ⢇⡀⠀⠛⠛⠀⠀⠀⠈⢀⣼⣳⠦⠤⠤⠤⢞⡁⣰⠁⠀⠀⠀⠀⠀ ⠀⠙⠒⠶⣶⠴⣶⣶⣚⣉⡞⢉⣇⣀⣀⣸⡍⠙⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⣥⠶⠛⠉⢩⣋⡴⠋⠉⠙⣏⢹⠙⢦⣹⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠈⠛⠀⠀⠙⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠚⠁⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠒⠀⠺⢯⡀⠀⠀⡠⠔⠒⠚⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⣾⠀⠀⠀⠀⡰⠋⠑⣏⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀ ⠀⣠⠖⠒⠒⠒⠠⠤⠤⠖⠚⣩⠀⠀⢿⠀⡆⠀⠀⡇⠐⢠⡇⠀⠀⠀⠀⠀⢀⡿⣄⠀⠀⠀⠀⠀ ⢸⠃⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠈⠲⠾⠔⠚⠉⠉⠙⢦⡀⠀⠀⠀⣠⠞⠀⠏⢧⡀⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠐⢁⡀⠤⠄⠒⠒⠒⠒⠀⠒⠒⠢⠤⣀⡈⠁⠒⠈⠁⠀⠀⠀⠀⢳⡄⠀⠀ ⠀⣧⠀⠀⠀⣀⡠⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⠶⠀⠀⠉⠳⢄⡀⠀⠀⠀⠀⠀⢀⣱⡀⠀ ⠀⣿⡀⠀⣼⣯⣀⠀⠀⠀⠻⣷⣦⠀⠀⢠⣾⢛⣿⣁⡀⠀⠀⠀⠀⠀⠙⠢⣀⡠⠖⠊⠉⠀⢳⠀ ⠀⠘⡇⢠⡏⠙⠓⢿⣷⡆⣾⡁⢨⣅⠀⠀⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⣀⣀⡤⠤⢼⡇ ⠀⠀⢻⣾⠀⠀⠀⠘⠉⠀⠛⢳⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡅⠀⠀⠀⢸⡇ ⠀⠀⠘⣿⠁⠀⠀⢀⠄⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠓⠒⠒⠛⣿⠀ ⠀⠀⠀⣿⠀⠀⠀⣜⠀⠀⠀⠀⢱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⢀⡼⠁⠀ ⠀⠀⠀⢹⣄⠀⠀⢹⡄⠀⠀⢠⠏⠀⠙⠢⣀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⣠⠞⠁⠀⠀ ⠀⠀⠀⠀⠻⣤⡀⠀⠙⠦⣤⠏⠀⠀⠀⠀⠈⠙⠒⠊⠁⠀⠀⠀⣀⠴⠋⠀⢀⣠⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠦⣄⣀⠈⠳⠄⠀⠀⠀⠀⠀⠀⢀⣀⠤⠒⠋⠀⣠⠤⠚⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢯⡉⠓⠒⠚⠛⠳⢲⡉⠁⢀⡠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠒⠒⠈⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⢀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⡿⣿⣿⣍⠙⠛⠳⢦⣤⣤⣤⡤⠶⠶⠶⠚⠛⠚⠓⠒⠶⠶⣦⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡏⠀⠀⠉⢿⣆⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢷⣤⣀⣠⣴⠶⠶⠿⣿⣶⣶⣄ ⣾⠇⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⣰⠟⠉⠉⣿ ⣿⠀⠀⠀⠀⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⣿ ⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⢸⡇⠀⠀⠀⠀⠀⠀⣠⠖⠚⠛⠛⠓⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⢤⣄⡀⠀⠀⠀⠀⠀⢠⡟ ⢸⣧⠀⠀⠀⠀⠀⣾⣥⣤⣤⣤⣤⣤⣤⣽⣇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠁⠀⠀⠀⠈⠙⢦⠀⠀⠀⠀⢸⠇ ⠀⣿⡀⠀⠀⠀⠀⣷⠈⠛⠃⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⣿⠒⢻⣿⠒⠒⠒⠒⢚⡇⠀⠀⢀⣿⠀ ⠀⠸⣇⠀⠀⠀⠀⠈⠳⣄⣀⣀⣀⣀⡴⠟⠀⠀⠰⢶⣾⣷⠖⠀⠀⠘⢧⡀⠀⠀⠀⠀⢀⡼⠃⠀⠀⢸⣧⠀ ⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠒⠒⠚⠋⠀⠀⠀⠀⢸⡿⠀ ⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⠀ ⠀⠀⠀⠘⢿⣄⠀⠀⠐⠊⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀ ⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡶⠶⠤⢤⣼⠏⠙⠲⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⢀⡴⠛⠛⠲⣤⡴⠒⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⢼⠀⠀⠓⠀⣽⡘⠀⢀⡏⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡤⠾⠁⠀⠈⠳⠤⠤⢞⣻⡋⠉⢉⣠⡤⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡄⠀⠸⣥⣴⢷⡄⠈⠹⢦⡀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣻⡷⠄⠀⠀⠙⢿⣘⣆⠀⠀⢹⡎⠿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠈⠈⠁⣀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠶⠛⠛⠳⣄⠀⠀⠀⠀⢲⠀⠀⠀⠀⣠⣟⠉⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣀⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⢀⡿⠀⢠⠀⠀⠸⡇⠀⣠⡾⣻⠇⠀⠀⠀⣀⣀⣤⠤⠤⠤⠴⠦⠤⢤⣄⡀⠀ ⢰⡟⠁⠀⠀⠀⠈⠉⠉⠙⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⣠⡾⠧⢤⡘⡇⠀⠀⠹⣟⠁⣿⣿⡆⠀⠀⣼⡛⠛⠓⠒⠒⠒⠒⠒⠒⠋⢽⣧⠀ ⠈⠳⠦⢤⣤⣤⣤⣤⣄⣤⣤⣤⣤⣤⣶⡶⢿⣦⣤⣤⣆⢰⣾⣿⣿⣿⠀⠀⡀⢺⣟⡿⠿⠟⢀⣼⣯⣅⣀⡀⠀⢀⣀⣀⣀⣀⡤⠾⠟⠂ ⠀⠀⠀⠀⠀⠀⠘⠋⠋⠙⠉⠈⠁⠁⠉⠀⠈⠉⠙⠃⠈⠉⠉⠁⠉⠙⠳⠚⠛⠚⠉⠀⠀⠀⠈⠙⠑⠋⠙⠙⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀
can someone make this but instead be kuromi ?☹️💔 ⠀⠀⠀⠀⣾⣿⣿⣷⣄ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣧⣴⣶⣶⣶⣄ ⠀⠀⠀⣀⣿⣿⡿⠻⣿⣿⣿⣿⣿⣿⣿⡄ ⠀⠀⠀⢇⠠⣏⡖⠒⣿⣿⣿⣿⣿⣿⣿⣧⡀ ⠀⠀⢀⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⠀⠀⢸⣿⣿⡿⢋⠁⠀⠀⠀⠀⠉⡙⢿⣿⣿⡇ ⠀⠀⠘⣿⣿⠀⣿⠇⠀⢀⠀⠀⠘⣿⠀⣿⡿⠁ ⠀⠀⠀⠈⠙⠷⠤⣀⣀⣐⣂⣀⣠⠤⠾⠋⠁ ⠀⠀(๑ᵔ⤙ᵔ๑)
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⢷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⢻⡀⠀ ⠀⠀⠀⠀⠀⠀⡧⠤⠤⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⣇⠀ ⠀⠀⠀⠀⠀⠀⣧⠀⠀⠈⢻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⢸⡆ ⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠹⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⢀⡰⠂⠀⠀⠀⠀⠀⠀⠀⣸⡇ ⠀⠀⠀⠀⠀⠀⠀⢷⡇⠀⠀⠀⠀⠀⡈⢿⣿⣷⣄⡀⠀⡀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⡴⠋⠀⡠⠊⡠⠀⠀⠀⠀⠀⠀⠀⢀⢿⠇ ⠀⠀⠀⠀⠀⠀⠀⠈⡿⡄⠀⠀⠳⣄⠘⢌⠻⣿⣿⣿⣿⣿⣿⡿⠛⠉⠛⠿⣿⣿⣿⣿⣦⣸⠾⣥⠊⠀⣀⠤⠂⠀⠀⠀⠀⣼⢸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣄⠀⠀⢹⣦⣬⢿⣫⣿⣿⣿⢹⡟⠀⠀⠀⠀⠀⠉⠈⠙⢛⣿⣿⣾⣬⡷⢾⡁⠀⠀⠀⠀⠀⣰⠁⡟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⢳⡄⠀⡹⢳⣾⢻⣿⠃⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⡽⠛⣿⣿⣦⣙⠦⠀⠀⢀⡴⠃⢠⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡇⠀⠙⠞⠁⠀⠻⠤⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢹⠛⠻⢿⣅⠀⠀⡼⠀⢠⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡿⠀⣀⣀⠀⠀⠀⠈⢹⡄⠀⠀⠀⠀⠀⠀⠀⡤⠞⣿⡉⠙⢿⣏⠁⠀⢀⣀⠀⠀⢠⡇⠀⢸⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⢻⠉⣽⣷⢦⣤⣴⡇⠀⠀⠀⠀⠀⠀⡾⡇⠸⣿⣿⠄⢸⡿⠋⠉⠉⠙⢦⡀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠸⢤⣽⣿⣤⢿⡟⠀⠀⠀⠀⠀⢀⡎⠙⠻⣦⣽⡿⠗⠋⠁⠀⠀⠀⠀⠘⣧⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⡇⠀⠀⢀⡤⠚⠁⠀⠘⢀⣤⠤⣤⡀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣄⠀⠀⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⡏⠻⢦⣸⣤⠀⠀⠀⢴⠏⠀⠀⠀⠙⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣤⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⢹⡏⠀⠀⠀⠺⣷⡄⠐⣿⠽⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⡤⠤⠔⢺⡗⢒⣺⣗⠀⠀⠀⠀⠈⠳⣼⠃⠀⠀⠀⠀⠒⠼⠿⠯⢭⣉⡙⠒⠤⡀⢀⡴⠃⠀⠀⠀⠀⣿⠀⠀⠀ ⠀⠀⠀⠒⠊⠉⣁⡤⠔⠒⠛⣯⡭⠝⢿⡎⠀⣀⣠⡤⠴⡟⠒⠤⣄⡀⠀⠀⠀⠈⢒⣼⣄⠙⠲⠶⣞⠉⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀ ⠀⠀⢀⡤⠖⠋⠁⢀⡤⠖⠉⠹⡆⠀⠀⠙⠶⣤⠼⢧⣄⣀⣀⣤⠟⠉⠑⠶⠶⠚⠉⠀⠈⠳⣄⠀⠀⠙⠦⣄⠀⠀⠀⠀⠸⣇⠀⠀ ⠀⠚⠁⠀⢀⣠⠖⠉⠀⠀⢀⡼⠃⠀⠀⠀⠀⠘⣦⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⣄⠀⠀⠀⠙⠦⠀⠀⠀⣿⠀⠀ ⠀⠀⢀⠴⠋⠀⠀⠀⢸⡟⠋⠀⠀⠀⠀⠀⠀⠀⠈⠳⠦⣄⠀⠀⠀⢀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡁⠀ ⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀ ⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣏⠀⠀⠀ ⠀⣀⣠⠖⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀
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⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⠀ ⠀⠀⠀⢸⡙⢷⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⡪⢫⠇⠀⠀⠀⠀ ⠀⠀⠀⠈⢧⠀⠙⠦⣙⠲⡤⠔⠂⠉⠉⠁⠀⠀⠉⠓⠎⡡⠎⢀⡞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢆⠀⠀⡸⠋⠀⠤⠠⠤⠤⠠⠄⠀⠀⠀⠀⠈⢦⡸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠳⡼⠁⠀⢀⡤⠐⠒⠈⠐⠂⠤⠤⠤⠤⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡅⠀⠒⠉⠀⠉⣄⠀⠀⠀⡔⠈⠉⠐⠄⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡟⠁⢀⠝⣛⡯⣍⡗⠛⢺⢉⢭⡥⢄⠈⠉⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⣀⣈⣑⣛⣓⣨⠇⠀⠸⣌⣚⣉⠉⢀⣀⢿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡁⠀⡇⠉⠉⠀⠀⠠⣤⠤⠤⠤⠴⡤⠀⠐⢊⣉⣸⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⢁⠠⠀⠈⠒⠤⠔⠋⠀⠀⠄⢀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠥⠀⠀⠀⡠⢂⡴⢲⢲⣄⣠⡐⠄⣀⠀⠈⢙⡯⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠼⣿⢥⡀⢰⠁⣰⣯⣧⣼⣼⣀⣇⣿⡆⢸⢀⣠⣼⡿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣿⣶⡎⠂⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⡎⢼⣏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡀⢴⠿⡯⢼⠀⣿⣿⣿⣿⣿⣿⣿⣿⡇⢰⢩⣿⣿⡀⠀⠀⠀⠀⠀ ⠄⠒⠉⠉⠁⠀⠈⣤⡻⡫⡇⢹⣿⣿⣿⣿⣿⣿⣿⡇⢸⣼⡇⣸⠉⠒⠢⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢳⣷⡇⠀⠻⣿⣿⣿⣿⣿⠟⠀⢸⠷⡮⠎⠀⠀⠀⠀⠉⠒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡦⠄⣈⣿⣛⡯⡁⣀⣠⣯⠆⠐⠒⠒⠠⠤⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣾⣴⠿⡷⣧⣗⣿⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⡙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠀⠀ ⠀⠀⠀⠀⠀⠘⣧⠀⠙⢦⣄⠀⠀⠀⠀⠀⣀⡤⠴⠚⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠓⠶⢤⣄⡀⠀⠀⠀⠀⠀⠀⢀⡴⠖⠋⢩⡟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠈⠳⣤⣀⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⢤⣠⠴⠚⠉⠀⠀⣰⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⣰⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⡾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⡴⠋⠀⢀⣀⣀⣐⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠿⠴⠿⠚⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠯⠼⠿⣯⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⣄⠀⠀⠀ ⠀⠀⠀⡴⠋⠒⠒⠒⠤⠤⠤⢄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠤⠤⠤⠤⠤⠄⠀⠀⠀⠀⠈⢧⠀⠀ ⠀⠀⣸⠁⣴⠖⠒⠒⠒⠒⠤⠤⠄⣀⣙⠆⠀⣶⣲⡶⣲⠦⠀⠀⠀⢀⠤⠔⠒⠉⠉⠉⢀⣀⣀⣀⣀⣀⣀⠤⠤⠤⠤⣄⡀⠀⠀⠈⢳⠀ ⠀⢰⡇⠀⠀⢀⣀⡤⠤⠤⠒⠒⠤⢤⡄⠀⠀⠈⠋⡇⠛⠃⠀⠀⠀⠀⡤⠤⠤⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⢸⠀ ⠀⢸⡇⠀⠘⠁⠀⣀⡠⠤⠤⠤⠤⡖⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⠒⠒⠈⠉⠉⠉⠉⠉⠉⠉⠉⠑⠒⠢⠤⡄⠀⠀⠀⢸⠀ ⠀⠀⣷⠀⠀⠐⠊⠀⣠⠴⠒⠊⠉⠉⠁⠀⢀⣠⣤⣤⣴⣶⣶⣶⣴⣤⣄⣀⠐⠉⠉⠉⠉⠉⠉⠑⠒⠒⠒⠤⢄⣀⠀⠀⠀⠀⠀⠀⢸⠀ ⠀⠀⢹⡇⠀⠀⠠⠊⠀⠀⠀⢀⣀⡴⠶⠿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠿⠿⠷⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⡟⠀ ⠀⠀⠀⢷⡄⠀⠀⠀⠀⠀⠀⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀ ⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀ ⠀⠀⠀⠀⠹⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀ ⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠳⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠈⠳⣦⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⠴⠚⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠘⣦⠀ ⠀⠀⣀⡴⠞⠋⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹ ⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⢤⣄⣀⠀⠀⠀⢀⣀⡤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡈⠉⠉⠉⠉⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢀⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⠛⢦⡙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⡽⠃⣀⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⡁⠀⠙⢦⣳⣄⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠀⡀⠀⠀⠀⣠⠏⡰⠁⠀⠤⡾⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣏⠁⠀⠀⠙⣏⠳⣤⠤⠤⢶⠞⠿⠿⠓⠚⠛⠛⠛⠛⠻⣛⡶⣣⠞⠡⣀⡘⢲⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⠤⠀⠀⠀⠈⢳⡘⠶⣄⣈⣁⣀⣀⣀⣀⡤⠶⠶⠔⣺⣿⠞⠁⣀⡀⠲⣬⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣆⡤⢄⣀⣀⣀⣷⣤⣀⠉⠁⠀⠈⠉⠁⣤⣤⣤⣾⢿⣶⣿⣿⢿⣧⣴⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣦⣰⡏⠹⣯⣽⣿⣟⠻⠟⢻⣧⣤⣴⠿⣧⠋⢠⣾⣿⣿⣿⡆⢿⣽⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡞⠈⢹⡇⠸⣿⣿⣿⣿⣦⣀⢸⣇⠀⠀⠀⣹⣆⠛⢿⣿⣿⣿⡷⠾⣻⠀⠀⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⠀⠀⣷⣤⣽⡿⠿⠿⠯⠽⠿⠿⠀⠀⠐⢛⡋⠉⠉⠉⠁⠀⠀⣀⣷⠴⠒⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⢦⣈⣧⣀⣀⣀⡀⠀⠀⠀⠀⠀⠰⣦⢤⣤⠴⣾⠃⠀⢤⡀⣀⡴⠊⠁⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡼⢿⡄⠀⠉⠓⢲⣤⣤⡇⠀⠈⢿⡒⢻⠇⠀⠀⢀⡿⣟⣉⣙⡓⣿⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢉⡟⠓⠚⣟⠛⠉⣉⣽⣴⠚⠳⣄⣀⣀⣧⣸⣤⣤⣤⣼⣶⣾⠋⠀⢩⣿⡓⠒⠶⢤⠀⠀⠀⠀ ⠀⠀⣠⠔⡿⠀⠀⢀⣿⡿⠉⠁⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢸⣾⠿⠇⠀⠀⠀⠀⠀⠀⠀ ⠠⠞⠁⠀⣧⠀⠀⠈⢰⣿⣦⣀⡀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢤⣿⣿⠓⠦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠀⠀⠀⠘⠿⣿⣯⢷⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⣺⣇⠙⠄⠀⠈⠳⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⢆⠀⠉⢻⣾⣷⠄⠀⠈⢿⣿⣿⣿⣿⣿⡿⠀⠀⣤⣽⡿⡄⠀⠀⠀⠀⠘⢆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠈⣿⣿⣦⣄⡀⠈⢿⣽⣿⣿⡿⠃⢠⣴⣬⡿⡇⠀⠀⢀⡴⠋⠀⠈⣆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⣻⢹⣿⣿⣧⣰⣄⣌⠉⠉⢰⣷⣼⡟⣿⠀⠀⣠⠞⠁⠀⠀⠀⠀⠘⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⡄⠋⠛⡿⠿⠿⠚⢛⠿⣿⠙⠆⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀
⠀⡾⠿⣯⠓⠲⢤⡤⠤⠴⠒⠒⠒⠲⠦⠤⣄⡀⠀⠀⠀⢀⡀⠀⠀ ⢸⠃⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⠚⠉⢉⡿⠻⡆ ⢸⠐⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠄⠀⡇ ⢸⡆⠀⠀⠀⡠⠖⠒⠲⢄⠀⠀⠀⠀⠀⠀⢀⡤⠤⣀⠀⠀⠀⢰⠃ ⠀⡇⠀⠀⢸⠳⠶⠒⠒⠚⡇⠀⠀⠀⠀⢰⠥⡤⠤⠤⢵⠀⠀⡼⠀ ⠀⢹⡀⠀⠀⠓⠤⠤⠤⠚⠀⠐⠶⠖⠀⠈⠦⣀⣀⣀⠜⠀⠀⡇⠀ ⠀⠀⢧⠀⠀⠀⢀⣀⣀⠄⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀ ⠀⠀⠈⢳⡀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀ ⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⢀⣀⣀⠈⠈⢢⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⡇⠈⠀⠈⠉⣆⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⠠⢄⠀⠀⠀⠀⢰⣀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠎⣿⣿⣦⡉⠒⠉⠉⠀⠀⠀⠀⠉⠑⠤⠐⢂⠭⣥⠈⡇⠀⠀ ⠀⠀⠀⠀⠀⠈⢸⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠠⠃⡸⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⠀⠉⠀⠠⣄⠐⣦⣦⣦⣄⠀⢸⢦⡤⣴⣄⠀⠀⠰⠁⠀⠀⠀ ⠀⠀⠀⢀⣔⡿⠀⠀⠀⡀⢈⠀⢴⢿⢤⡁⠀⠀⠀⣀⣀⣀⡀⢠⠃⠀⠀⠀⠀ ⠀⠀⣠⣿⠋⠁⢠⠀⠀⠁⠛⠆⠓⠘⠏⠁⢀⠊⠐⠼⠐⠞⠂⠆⠀⠀⠀⠀⠀ ⠰⡟⠏⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⡀⠀⠀⡄⠀⢀⡠⠔⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⢄⠀⢰⠌⣀⣒⣁⡠⠊⠀⢀⠠⢤⡤⠠⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢰⠒⠋⠁⠀⠀⠀⠨⣘⡀⠘⢀⣒⠲⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⠀⠀⠀⠀⡆⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠀⡀⢀⠀⠀⢀⠁⠀⡘⠀⠀⠀ ⠀⠀⠀⠀⠀⢯⠂⠣⠁⠀⠈⠂⠑⠈⠂⠘⠘⠙⠃⠓⡋⠀⡼⠀⠀⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠘⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠏⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⣈⣿⣷⣤⣤⣴⣴⣶⣦⣤⣤⣀⣀⣼⡿⠃⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣶⡾⠿⠛⠛⠉⠉⠉⠁⠀⠀⠈⠉⠉⠉⠛⠛⠻⠿⣶⣤⣼⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣰⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀ ⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠗⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀ ⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢀⡀⠀⠀⢀⣀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡄⠀ ⢀⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⣀⣾⣿⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀ ⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠘⣿⣿⣏⠁⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣧ ⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣆⣀⣀⣴⣿⠟⠿⣷⣶⣾⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣿⡛⠁⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⢹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡏ ⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁ ⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀ ⠀⠀⠈⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠃⠀⠀ ⠀⠀⠀⠀⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠉⣻⣿⠷⣶⣦⣤⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣤⣶⡾⣿⣿⠉⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣰⣿⣿⣆⠀⣿⡟⠉⠉⠛⠛⠛⠛⠛⠛⠛⠋⢻⣿⡀⣰⣿⣿⣧⡀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⣀⣠⣠⣴⣤⣶⣿⣧⣼⣿⣷⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣾⣿⣷⣿⣷⣾⣿⣿⣿⣿⣤⣤⣄⣀⣀⣀⠀⠀ ⠈⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠙⠛⠛⠳⢶⣾⠃⠀⠈⠙⠳⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⢀⣴⠟⠋⠉⠻⣦⣴⠶⠚⠿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⣼⠁⠀⠀⠖⠀⢸⡗⠾⠀⠀⢸⡏⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⠸⣦⣀⠀⢀⣠⣾⣿⠶⠶⠶⠛⠁⠈⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠶⠛⠛⠉⠁⠀⠀⠀⠀⠉⠙⠋⢩⣴⣿⠀⠀⢀⣶⠟⠛⣛⠛⠶⢦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡀⠀⠈⠻⠶⣾⢻⣷⡀⠀⠘⠛⢷⡄⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣟⣿⣿⠆⠀⠀⠀⠙⢿⣇⣸⣆⠀⠀⠀⢻⡆⠻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⢀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⢀⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⣼⠷⢦⣤⣤⣤⠶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠘⠉⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⣠⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⣤⡤⠤⢤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⣘⣷⡄⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⣆⠀⠀⠀⢿⡀⢀⣠⡾⣫⡿⠃⠀⠀⠀⢀⣠⣤⣤⠴⠶⠶⠒⠒⠚⠓⠒⠒⢶⣦⣄⠀ ⣾⠋⠁⠀⠀⠀⠀⠈⠉⠉⠉⠙⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⣀⣴⣿⣤⣤⡀⢿⡄⠀⠀⠈⢿⡟⠉⣸⣿⣻⡖⠀⠀⢀⣾⡛⠛⠻⠷⠶⠶⠶⠶⠶⠒⠒⠛⠋⣡⣿⡄ ⠿⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⣤⣴⣶⣆⣀⣀⠀⡍⠉⣤⢰⣾⣿⣿⣧⠀⠀⠀⠈⣿⡶⣿⣿⣿⡷⠀⢀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⡷ ⠀⠀⠉⠉⠛⠛⠛⢛⡿⢿⠿⣻⡿⢻⡿⠛⠿⠻⠟⠉⠼⠟⣽⣿⠟⠻⢶⠿⠿⡿⢻⠟⣿⣀⣀⣶⣄⣽⡷⠛⠉⠀⠀⠀⢿⡿⢛⣿⠷⣶⢶⣶⣶⣶⣶⠶⠚⠛⠛⠋⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠁⠀⠁⠈⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠟⢿⣯⠉⠻⢦⣄⠀⠀⠀⢀⣴⠾⠋⠉⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⡏⠀⠀⢿⡆⠀⠀⠙⢷⣤⣴⡞⠁⢀⣀⠀⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⠀⠀⠀⣼⠃⠀⠀⠀⠘⠃⠙⠿⠿⠿⠶⠿⠿⣧⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡇⡀⠀⠰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⡀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣒⡬⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣸⠇⠃⠀⠀⠠⢔⣾⣯⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠛⠹⠿⢷⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡟⠀⠀⠀⠀⣠⡟⢩⣄⠉⣿⡀⠀⠀⠀⠀⠀⠀⠸⣧⡀⠀⢀⣼⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡟⠀⠀⠀⠐⠛⢿⣤⣈⣃⣨⡿⠁⠀⠀⠠⣶⣶⠀⣀⣉⣛⣛⠋⠁⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠃⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⣀⣀⣀⣀⣤⡶⠟⣛⣉⣉⡉⠛⢷⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠦⠤⣴⡏⢀⣾⡟⠉⠉⡿⣆⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡅⢸⡇⠃⠀⠀⢀⡟⢸⠃⠀⠀⠀⢠⡄⠀⠀⢀⣤⣤⣤⡀⢠⣤⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⢸⠃⣿⠀⠀⠀⠀⢸⡇⠀⠀⣾⡏⠁⢹⣷⠸⣿⠀⠀ ⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⣸⠃⠀⠀⠀⢸⠀⢻⠀⠀⠀⠀⢸⣇⣀⡀⢻⣧⣂⣼⡟⠀⣿⣀⣀ ⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣀⢰⡏⣰⡏⠀⠀⠀⠀⢸⡆⣼⠀⠀⠀⠀⠘⠛⠛⠛⠀⠙⠛⠉⠀⠀⠛⠛⠛ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣍⣿⡀⢸⡆⠀⠀⠀⢀⡾⢁⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡈⠻⠶⠴⠾⣛⣥⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⠶⢶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠤⢤⠏⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⡎⠡⠙⡾⠉⡟⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠀⠊⠀⠙⠒⣺⡏⠉⣄⣸⠤⢄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠻⠷⠀⠀⠻⡳⡀⢹⠜⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢫⠀⠀⠔⠢⡀⠀⠀⢀⠀⠀⢠⡖⠂⠒⠊⠀⠀⠀⠀⠀⠀ ⢀⠤⠀⠤⠄⠀⠀⠀⠸⠆⠀⠀⢀⣇⡀⡀⠘⣤⢴⣿⠀⢀⡤⠤⠐⠒⠒⠒⢦⠀ ⠘⠦⠤⠤⣤⣤⣤⡤⣴⠶⡦⡤⣍⣼⣿⡇⢀⢸⡾⠿⠂⣼⢇⣀⣀⣀⡀⠤⠼⠃ ⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠀⠀⠀⠀⠁⠀⠁⠁⠀⠀⠀⠀
⠀⠀⠈⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⡠ ⠀⠀⠀⢸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣣⣶⣾⣷⣾⣟⠝⠈ ⠀⠀⠀⡈⢺⣿⣦⣴⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⡿⣻⣿⣯⡿⠯⠀⠀⠀ ⠀⠀⠀⠙⣄⠹⣿⡿⣿⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⠟⢡⣾⢁⣸⡟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣳⣿⡇⠁⠹⣻⣷⣌⣩⡛⠲⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⡇⣰⣿⠏⣸⡿⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⡟⡄⠀⠹⡍⠉⠻⣷⠀⠀⠻⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⢠⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠺⣿⢻⡀⠀⠈⢓⠂⠼⣧⡀⠀⠀⠻⣿⣶⣤⣵⣤⣄⣤⣄⣀⣀⣴⣶⣦⣿⣷⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣼⡗⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⠤⣿⡆⠃⠀⠀⠀⢱⡦⣹⣿⡄⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⠿⠟⠛⠻⠿⣿⣿⠿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⣻⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠾⣿⣿⡖⡲⠄⠀⠀⢯⣒⣿⣾⡄⠀⠀⣶⣿⣿⣿⣿⣿⣿⣟⣷⠆⠀⠀⠀⠀⠀⠀⠀⠀⣳⡏⠀⠟⠃⠀⠙⠻⠿⠿⢿⣿⣷⣤⡄⠀⣿⣻⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠲⣿⢿⣌⠂⠀⠀⠀⠛⢿⡇⡿⣀⠀⠹⣿⣿⣿⣿⣿⣿⣟⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣶⣿⠀⢧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⢹⡽⢹⡖⠀⠀⠀⠀⣼⣿⣧⣾⣿⡿⠾⠽⠿⠿⣟⣿⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣯⣿⣷⣿⣥⣈⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠽⣇⣇⣿⠛⣳⣤⣾⡿⣿⢛⢉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡐⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⣀⣴⣾⣿⣿⠿⠿⣯⣿⣏⣩⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠚⣿⢙⢹⣼⣿⣿⡟⠛⢻⡿⣟⢻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠈⠓⠞⢶⡀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠰⣿⣿⡿⣵⡇⠀⠈⠁⠩⢿⣿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣠⣿⣿⣷⠽⠆⠀⠈⢿⣽⢿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⡀⠀⠀⠀⠀⢸⡧⠀⠀⠀⠀⠀⣿⣿⣿⠋⠀⠀⠀⠀⢰⢻⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⠟⢿⣿⣯⡁⠀⠀⠀⠀⠉⠻⣶⣶⣶⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠙⠻⠏⠁⠀⠀⠀⢀⢂⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠇⢨⣿⠉⠀⣄⡀⠀⠀⠀⠀⠀⠉⠀⢣⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⣿⣿⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣺⡗⠀⠀⠀⠀⠀⠀⠙⠒⢦⣴⣆⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⣴⡟⢯⣿⣿⣽⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣐⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣟⡳⢦⣀⡀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⢀⣀⣀⣀⣀⣀⣩⣶⡛⠃⢽⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢉⣻⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣉⠻⠷⠬⣭⣒⡂⠈⣉⣉⡉⠙⠲⢤⣀⠀⠿⣶⣦⣀⢠⡾⣟⠻⡩⠭⠤⠄⢠⡾⣋⡀⠉⢩⣿⠓⠦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢼⣇⠀⠀⠀⠀⢀⣀⡤⠔⠒⠋⠉⠀⠀⠀⠀⠀⣉⢻⣶⡂⠉⠉⠉⠙⠂⠐⠀⠀⠻⡟⢿⡞⠿⠃⣀⢈⣑⠒⢦⣿⣀⡀⠈⠑⣿⣿⣖⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢺⣇⠀⠀⠀⠘⠉⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠏⠀⠀⠻⣯⠉⢉⠀⠀⠀⠁⠀⠀⠀⠀⣠⣶⣆⠀⠙⠢⢄⡈⣻⡿⢄⡙⠓⢼⡇⣿⠀⠙⠦⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠁⠀⠀⠀⠀⠀⣠⠝⠷⢤⣄⣀⣈⣤⠤⠶⢚⡋⣍⠙⣛⡹⠲⣤⣀⣩⡿⠥⣀⠉⠳⢼⡏⣿⠤⣀⠀⠈⠳⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⢀⠞⠙⠻⢶⣄⠀⠀⠁⠉⠙⠺⠋⠀⠁⣠⡾⠟⠀⠀⠈⠑⢦⡀⢻⣿⣆⠉⠳⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣹⣿⣻⠀⠀⠀⠀⠀⠀⡤⠂⠀⠀⠀⠀⠀⢀⠔⠉⠀⠀⠀⡴⠁⠀⠀⠀⠀⠙⠻⠷⢦⣤⣤⣴⠶⠶⠚⠋⠀⠀⠀⠀⠀⠀⠀⠉⢻⡇⠘⢦⡀⠘⠆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⣺⣷⡏⠀⡴⠁⢠⠣⠊⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢠⡀⢄⠈⢿⣠⠀⠑⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⢏⠀⠌⢀⡴⠃⣡⠆⠀⠀⠀⠀⡀⣠⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⢷⢌⠓⢘⣿⡀⠀⠀⠀⠀⠀⠀ ⢀⣀⣀⣀⣀⣠⣞⣀⣁⣐⣐⣋⣀⣀⣀⣈⣀⣀⣀⡆⡁⡃⣸⣀⣒⣰⣁⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⢀⣀⣀⣀⣀⣀⣀⣀⣄⣤⣠⣱⣣⣳⣀⣘⣧⡆⢀⣀⣀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣻⣿⣷⣶⣦⣴⡿⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⠿⠛⠉⢉⠙⠛⠿⣿⡌⢿⣿⡶⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠠⣤⣀⣀⡀⠀⢠⣾⣿⡿⠃⠀⠀⠀⣿⣿⣦⡀⠀⠙⢦⡀⠁⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠈⠛⠿⠗⠀⠀⠈⣟⠢⣄⣀⣼⣦⣤⡀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⢰⣿⣿⣿⣿⡟⠀⠀⢀⣠⡿⢻⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠈⠻⠿⠿⡏⠀⢀⣀⠈⠉⠘⠛⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠶⠶⠖⠒⠉⠀⠀⠀⠀⠀⠀⢠⠇⣀⣼⠉⠀⠀⢀⣴⣶⣶⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠚⢦⠙⠉⠀⠀⣰⣾⣿⣿⣿⣿⣷⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⡴⢁⠞⡐⠒⠂⢸⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⠻⠿⣿⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠓⠒⠋⠠⡈⠉⣀⣼⣿⣿⣿⣿⡟⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣉⣉⣉⣹⣿⣶⣦⣤⣤⣤⣤⣶⣶⣫⣁⣀⣀⣀⣀⣤⣼⣾⣿⣿⣿⣿⣿⣿⢿⡿⠟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡿⠛⠛⠉⠉⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡛⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣤⣤⣾⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠿⠿⢿⣿⣿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠇⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⡆⠀⣠⣴⣶⣶⣦⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣦⣤⣀⣀⣀⣀⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣇ ⢠⣾⣿⣿⣷⣶⣤⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀ ⠀⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠖⠶⠒⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡙⠻⣦⣄⢀⣀⡆⠄⡠⠞⡱⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣀⣙⣿⠟⡀⠀⠈⣙⣶⡼⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡜⡿⣽⣿⣾⣯⡤⣿⣿⡷⡂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡸⣵⣿⣝⣃⣼⢃⣜⣌⣳⡇⡀⠔⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⡓⠙⠤⣶⡟⢁⢄⡻⣄⡹⡗⠠⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⠙⠛⠛⠂⠀⠋⠛⠉⠛⠀⢁⠀⠈⠀⠂ ⠀⠀⠀⠀⠀⠀⠀⠠⠊⠀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢀⣀⠀⠀ ⠀⢠⠤⣴⣶⣎⣴⠁⢀⣴⡱⠶⡓⢄⠀⡀⠀⠀⢀⡴⢠⢺⠟⢶⢣⠀ ⣰⠅⢠⣚⡦⢙⣿⣄⠙⢒⠁⠀⢧⢎⡄⠙⡧⠴⠏⢠⢂⢎⡀⡜⠛⠀ ⠛⠻⢿⣿⣿⣿⠿⣿⠮⢢⠧⣣⡻⠴⣉⣈⣃⡮⠏⠀⠙⠶⠎⠀⠀⠀ ⠀⠉⠉⠋⠉⠈⠙⠘⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠛⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⢋⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠙⢿⣿⣦⣄⣠⣤⣤⣄⣰⣁⣠⡞⠋⢀⠞⡹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠻⣿⣿⠗⠂⠀⠀⠀⠈⠙⠻⣿⣏⣰⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣶⢿⡟⢷⣔⣔⣴⣤⣄⠀⣸⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢠⠏⢰⡿⣿⣿⣿⣿⣾⣿⣼⡄⣿⣿⣿⣿⠟⣯⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡟⢠⣿⣤⢿⣟⠛⣿⠏⢹⣿⠇⠈⢿⡉⠹⢇⣼⡄⠀⠀⢀⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⡈⢿⣿⠯⢿⠷⣤⣴⣿⠋⠰⢾⡷⠿⢶⣿⣿⠃⠔⠚⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠉⠙⠆⠙⠧⣴⣶⣿⠋⠁⢀⠴⠚⡗⢦⠀⡨⢿⠒⠢⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠈⢶⣲⣴⣶⣞⠩⠉⠀⣼⢿⣴⣿⠶⣾⡏⠀⠘⡄⠀⠀⠑⠤⢄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠉⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡴⠁⠀⠀⠀⣰⡊⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⢀⣼⣷⣶⠶⣄⠀⠀ ⠀⠀⠠⣤⠤⣶⣶⣿⣿⣧⣠⡿⠁⠀⠀⣴⣎⣹⡿⠛⣏⠙⣤⡀⠀⢄⠀⠀⠀⠀⠀⢀⣴⠃⢠⠎⢻⡟⠛⣿⡛⣧⠀ ⠀⢠⠞⠁⠀⠩⣶⠮⠘⣿⣿⣿⡀⠐⠲⢥⡼⠋⠀⠀⢻⡀⢠⢣⠀⠘⢶⣦⣀⣠⣴⠟⠁⢀⠎⢠⡟⠀⠀⢸⣿⠿⠀ ⣰⣏⣙⣒⣲⢷⣶⣟⣓⣰⣿⣿⣿⣆⠀⠀⢣⡀⢀⡤⣈⣇⠡⠎⣆⡀⢀⣿⠉⠉⣏⠀⢠⣾⣠⠟⠡⢢⡤⠋⠀⠀⠀ ⠛⠛⠦⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣦⣑⣄⣳⣄⣆⡜⣻⣤⡆⣟⠀⢀⣩⡑⣆⣟⠁⢀⡀⢈⣷⣗⡞⠁⠀⠀⠀⠀ ⠀⠀⢰⡶⣾⣿⣿⢿⡟⢛⡷⣷⠙⣶⣶⢴⣿⡦⠈⠉⠉⠁⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⣀⣴⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠓⣾⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣠⣾⠫⣱⢿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠈⠿⣿⣿⣷⣄⠀⠀⠀⣀⣀⣈⠀⡔⠀⢀⣴⠿⠋⠀⣴⠏⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠘⢷⣶⣿⡿⠟⣋⠉⠉⠉⠙⠓⠲⢿⣷⡤⣤⣼⠃⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀⣈⣹⣶⡞⢋⠁⠀⠀⠀⠀⠀⠀⢀⡀⣹⣿⣷⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⠿⣷⡟⢿⣮⣣⡱⡶⣴⢳⡀⠀⣾⣿⡿⣿⢿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⢨⣿⣻⣶⣝⣿⣿⣯⣿⢻⡏⣷⠠⣿⣿⣿⣿⣿⡾⢿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢲⡟⢀⣿⣃⣘⣿⢻⣻⡟⣿⠟⠻⣿⣿⡆⠙⣿⠿⠋⢿⣇⢈⣧⠀⠀⠀⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⢿⣶⣟⣉⣿⣷⣄⠙⠛⢀⣴⣿⠟⠀⣠⣈⣳⣄⢈⣩⣾⣿⡇⠀⢀⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣷⡀⠻⣷⣞⣓⠻⠿⢛⣶⣿⣿⠋⠀⠚⠳⣼⠟⠛⠿⣝⣲⡾⠑⠊⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠙⠙⠆⠈⠳⢤⣔⣺⣽⡟⠉⠀⠀⣠⠴⠚⣿⠲⣆⠀⣠⡿⡏⠓⠶⢄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⢳⣤⠦⣒⣠⣠⠼⢛⡛⠃⠀⣰⣺⣃⣸⣻⣵⣤⣿⡎⠁⠀⢹⠀⠀⠀⠙⢦⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠇⠀⠀⠀⠙⠛⠛⠛⠛⠙⠉⠁⠀⠀⠧⠥⠏⠙⠋⠉⠸⠿⠃⠀⠀⠸⡇⠀⠀⠀⠀⠀⠉⠙⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⢠⡔⠋⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⣼⣇⣶⡶⡶⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⡒⣿⣋⢉⣻⡟⠀⠀⠀⠀⣠⣼⠻⣿⣶⡶⡟⠐⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⢠⠞⣻⡿⣼⣷⣦⡽⣗⠀⠀ ⠀⠀⢀⣬⠟⠋⢽⡟⣽⡻⠟⣿⣷⣼⣿⠀⠀⣀⠀⣾⠟⢳⣾⠛⠀⠀⣷⡀⠘⠻⡆⠀⠈⣇⢀⠀⠀⠀⠀⠀⣠⣾⠏⠀⢰⠏⠀⣾⠃⠀⠈⢿⣆⣾⡇⠀ ⠀⢠⡾⡁⠀⠀⢀⠜⠷⢙⣓⠐⠿⣿⣿⣦⡀⠀⠙⠓⢦⠞⠋⠀⠀⠀⢹⣇⢄⢇⢻⠀⠀⠘⠪⣿⣠⣤⣴⣾⠛⠁⠀⢠⠏⢀⣼⠃⠀⠀⠀⣼⠿⠟⠃⠀ ⣰⡿⠂⠛⠒⢺⣿⣶⣶⠟⢛⣒⣶⣿⡿⣿⣟⣦⠀⡀⠘⢦⡀⠀⣠⢤⣈⣿⠈⠎⣎⡇⠀⢀⣀⢻⡏⠉⢁⣿⠀⠀⣰⣿⣠⡾⠋⡰⠲⣤⡾⠃⠀⠀⠀⠀ ⠿⠿⣯⣩⣿⢿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⣆⡙⢦⠐⢷⡄⢸⡀⣨⢿⡀⠘⡄⢹⠋⠀⠈⢻⠑⢦⡘⣿⠛⠀⠀⠈⠉⢻⣦⠧⣴⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣉⣉⣻⣿⣿⣿⢿⣛⣿⣿⣏⣻⡹⢭⣉⣉⡟⡚⣛⡒⠛⠲⠭⠥⠞⠉⠙⠧⠼⠤⠤⠴⠾⠷⠾⠋⠛⠒⠒⠒⠒⠒⠒⠛⠓⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⠛⠻⠟⠿⠟⠳⠿⠁⠸⠟⢻⣧⢀⡿⠺⠟⠿⠾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣼⡗⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣿⣿⣿⡿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣤⣤⠶⠶⠞⢛⠋⠉⠉⠉⠙⠛⣓⠶⠶⣤⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣍⡻⣿⣎⢻⡿⠛⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠬⣛⢿⣿⢃⣿⡿⢋⣿⣿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣷⣬⠿⠋⠁⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣤⣤⣄⡀⠀⠀⠀⠀⠈⠀⠁⠻⢿⣴⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣻⢟⣡⠀⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠀⠀⠱⣌⠻⣟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢋⡞⠁⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠈⢷⡙⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢃⡟⠁⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⢿⡘⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⣼⠃⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⢧⢻⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⡇⢠⣿⣿⣿⣇⠀⠹⢷⡾⠉⣸⣿⣿⣿⠏⠀⠀⠀⢸⣿⣿⣿⣇⠀⠙⢷⡶⠁⣸⣿⣿⣿⡄⢸⠀⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⡟⠀⣇⢸⣿⣿⣿⣿⣷⣤⣤⣦⣾⣿⣿⠟⠁⣀⣀⣀⣀⣀⠈⠻⣿⣿⣷⣤⣤⣷⣾⣿⣿⣿⣿⡇⢸⠀⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠓⠒⠲⠶⣷⠤⣼⣤⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⣀⣭⣿⣿⣟⠉⠀⠀⠀⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣤⣮⡤⢾⡶⠖⠒⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⣃⣘⣿⣿⣿⣿⣿⣭⠛⠀⠀⣠⡞⢫⣾⠃⡀⣹⠿⣦⡀⠀⠀⠀⠛⣭⣿⣿⣿⣿⣿⣋⣼⡀⠀⣾⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠛⠛⠻⣿⠉⠉⢻⡉⠙⢿⣿⣿⣷⣾⣀⣰⠋⠀⠀⠁⠀⢿⠇⠀⣸⣿⡀⠀⢀⣷⣼⣿⣿⡿⠋⠉⠟⠉⠉⣻⠟⠛⠛⠛⠛⠃ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⣀⣠⣴⢶⡟⠋⠛⠿⣿⣿⢧⠀⠀⠀⠀⠀⠀⠀⠐⠋⢸⣿⣾⣿⣿⠿⠛⠙⢛⠶⣦⣄⣀⡼⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⠛⠛⢧⣄⠀⠉⠳⣦⣠⡿⠁⠘⠲⣦⡀⠀⠀⠀⠀⠀⣠⡿⠛⠋⠉⠀⢀⣴⠖⠋⠀⣠⡼⠟⠛⠶⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⢦⣤⡟⠀⠀⠀⠀⠈⠙⢿⣆⠀⠀⣰⠟⢀⣠⠤⠶⠋⣉⣀⡴⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣼⠯⠤⠶⠶⠒⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠙⠲⢤⣀⠀⠀⠀⠀⠀⢠⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢦⣀⡀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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