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⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣦⠀⠀ ⠀⠀⣠⣤⣤⣄⣀⣾⣿⠟⠛⠻⢿⣷⠀ ⢰⣿⡿⠛⠙⠻⣿⣿⠁⠀⠀⠀⣶⢿⡇ ⢿⣿⣇⠀⠀⠀⠈⠏⠀⠀⠀ text here ⠀⠻⣿⣷⣦⣤⣀⠀⠀⠀⠀⣾⡿⠃⠀ ⠀⠀⠀⠀⠉⠉⠻⣿⣄⣴⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡿⠟⠁⠀⠀⠀⠀
⠀⠀⢀⣤⣾⣿⣿⣿⣿⣿⣶⣤⡀⢀⣤⣶⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀ ⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀ ⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀ ⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
ㅤ⠀⠀⠀⠀ ⠀⢀⣤⣄ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⡆ ⣠⣶⣿⣶⡀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⠋ ⠀⠀⠀⠀⣾⣿⣿⣧⠀⠻⣿⣿⠿⠉ ⣰⣿⣿⣿⣿⣿⣿⣿ ⠸⣿⣿⣿⣿⣿⣿⠏ ⠀⠈⠛⠿⣿⣿⡟
remember to downvote any posts that aren't symbols, social media exists for a reason, this website is for symbols not drama! ( ˶ˆᗜˆ˵ ) ༘ ⋆。˚ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠉⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠉⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⡠⡀⠹⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠄⡀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠆⡇⠰⠀⠈⠻⠦⠶⠶⠶⠶⠾⠶⠞⠋⠀⡌⠀⡇⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠃⠀⠂⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠁⠀⢻⣅⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⣠⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣂⠀⠀⠀⠀⠀⠀⡿⣝⣺⣯⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⡀⠀⠀⠀⠀⠀⠘⠫⣷⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⠄⠀⠀⠀⠀⠀⣯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⠀⠀⠀⠀⠀⠀⠀⢠⣶⡄⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠠⠼⡦⠄⠀⠀⠋⢿⠉⠀ ⠀⣨⣧⠄⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠠⠐⠀⠂⠠⠀⢠⠟⠁⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠂⠀⠀⠀⠀⠀⠀⠹⣧⣄⠀⠀⡒⠉⠉⠈⡃⠀⢰⣆⢠⣶⣄⣼⠀⠐⠠⠀⠒⢁⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣄⣿⡆⠀⠀⠀⠀⠀⠘⢿⣇⠀⠈⠀⠂⠐⠁⠀⠀⠛⠛⠁⠈⠀⠀⣀⣤⡴⣷⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢞⣷⠃⠀⠀⠀⠀⠀⠀⠀⠙⢿⡷⠴⢴⡤⢦⠤⡤⠤⠤⠶⠶⠚⠛⠉⠀⠀⢨⣿⣦⣀⢀⣠⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⡀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠴⢖⡶⡿⡈⡹⡑⢢⠌⣪⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡿⠀⠀⠀⠀⠀⠀⠀⠀⠐⢼⣦⣷⠱⢌⡒⡌⡝⣜⠣⣑⠅⠎⠇⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠛⠻⢷⣤⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠘⢷⣄⠀⠀⠉⣿⡐⠢⡔⡘⡡⢇⡡⢅⢡⡙⣬⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣆⡀⠀⢻⣧⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠙⠻⣶⣤⡿⠙⢧⣆⠵⡁⠦⠇⡪⢠⣜⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠹⢾⣀⡀⠀⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⡾⣅⡎⢆⣇⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⠀⠀⠉⠛⠛⢾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠛⠻⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠛⢲⣶⣶⣤⣼⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢸⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⢾⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠄⠀⠀⠀⣤⠶⠓⠋⠉⠁⠀⢈⣿⠀⠀⢼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠸⣿⠁⠀⠀⠀⠀⠀⠨⢿⣀⣀⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣄⣀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ REPOST!! i love this website ngl ˖ ࣪⊹ anyways have sum stars bcs ur a star !!
⠀⠀⠀⠀⣀⡤⢤⣄⠀⣠⡤⣤⡀⠀⠀⠀ ⠀⠀⢀⣴⢫⠞⠛⠾⠺⠟⠛⢦⢻⣆⠀⠀ ⠀⠀⣼⢇⣻⡀⠀⠀⠀⠀⠀⢸⡇⢿⣆⠀ ⠀⢸⣯⢦⣽⣷⣄⡀⠀⢀⣴⣿⣳⣬⣿⠀ ⢠⡞⢩⣿⠋⠙⠳⣽⢾⣯⠛⠙⢹⣯⠘⣷ ⠀⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁
⠀⠀⠀⠀⠀⠀⠀⣠⠔⣲⠤⠤⠤⠤⠤⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠞⣥⠋⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⠤⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠛⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⠀ ⠀⠀⣀⡴⠋⣰⠁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠛⡄⠀⠀⠀⠀ ⢠⠋⠁⠀⢰⠉⢸⢠⡇⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀ ⢸⠀⠀⠀⣼⠀⠀⠉⠀⠀⠀⠀⠀⠀⣆⣿⠀⠀⢀⠀⠀⠀ ⠀⠀⠀⣧⠀⠀⠀ ⠀⠓⠤⠴⠤⢛⠜⠒⠒⢄⢀⠤⠤⣄⠉⡄⠀⢀⠀⡇⠀⠀⠀⠀⠀⠀⠓⣄⠀ ⠀⠀⠀⠀⠀⢈⠀⠀⠀⠀⠁⠀⠀⠀⣶⣀⣀⣠⡦⠺⡀⠀⠀⠀⠀⠀ ⠀⠀⢆ ⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠿⠀⠀⢺⣐⠀⡗⢆⡀⠀⠀⠀ ⠀⠀⢸ ⠀⠀⠀⠀⠀⠸⡘⢦⡀⠀⠀⢀⣀⡖⠷⠶⠒⣺⣀⠖⠁⠀⠑⠲⣆⣀⣀⡠⠊ ⠀⠀⠀⠀⠀⠀⠙⠶⠷⠶⠖⢻⠁⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⣀⣀⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
.  +⠀ ⠀ ⠀˚⠀ ⣴⠟⠉⠉⠛⢦⡀⢀⣴⠛⠉⠈⠙⠻⣄ ⠀⠀⣼⠃⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠹⣦ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡆ ⠀⠀⠀⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃ ⠀⠀⠀⠀⠀⠻⢦⣄⠀⠀⠀⠀⠀⣠⡴⠛ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⠶⠋ ⠀⠀⠀+. *
⡟⠛⠻⠛⠻⣿⣿⡿⠛⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠐⡀⠂⢁⠟⢁⣠⣶⣿⡄⢹⣿⣿⣿⣿⣿⠿⠿⠛⣉⣉⡄⢹ ⣿⣦⣄⡕⠁⣴⣿⣿⣿⡿⢋⣀⣤⡤⢀⠄⣤⣶⣾⣿⣿⣿⡇⠀ ⣿⣿⡟⢠⣾⣿⣿⣿⣿⠁⢆⣾⣿⡁⢎⣾⣿⣿⣿⣿⣿⣿⡇⢠ ⡿⠟⢠⣿⠟⠻⣿⣿⣿⣿⣾⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⠃⣸ ⡆⢻⣿⡿⠖⠀⠈⢻⣿⢻⣿⣿⣿⣷⣟⠿⠟⠛⠙⢿⣿⣿⠀⣿ ⢁⣾⣿⣇⣤⣴⣾⣿⣿⣮⣭⣬⣭⣾⣧⢄⠀⠒⢶⣿⣿⣿⠧⠘ ⠀⣿⠛⠡⠂⠀⡀⠈⠙⠟⠉⠉⠀⠀⢍⠺⣷⣦⣾⣿⣿⣿⣦⡉ ⣧⠘⣈⣤⡀⠁⠄⡈⠄⡀⠂⠌⢐⣀⣀⠱⠘⣟⡿⣿⣿⣶⠉⣴ ⡟⢰⣿⣿⣿⠀⠚⠄⠠⠐⢀⠂⣿⣿⣿⣿⣶⣬⡺⣹⢲⡞⠆⢹ ⡇⢸⣿⣿⣟⠀⠀⠂⠁⠀⣂⠀⠹⣿⢿⣿⣿⣿⣿⣷⣭⡀⢴⣿ ⣷⡌⠻⡿⠋⠄⠀⠀⠀⠐⠀⠃⠀⠙⢷⣿⣿⣿⣿⣾⣿⣿⣦⡙
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠶⢦⣤⠶⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠁⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⣄⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠉⠛⠃⣠⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠉⠙⢳⣄⢀⡾⠁⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠙⢿⡇⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠹⣦⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣄⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠋⠛⢧⡀⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠾⣧⡀⠀⠀⠹⣦⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⡟⠉⠛⢷⣄⠀⠀⠈⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠉⠃⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣤⣤⣤⡤⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠤⢥⠤⠀⠀⠀⠀⠀⠀⠀⢀⣠⡞⠳⣄⠀⠀⠀⠀⠀⠀⢀⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⠀⠀⠀⠀⠀⠀⠤⣶⣛⠉⠀⠀⢈⡳⠖⠀⠀⠀⠀⠘⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⠀⣧⠇⠀⠐⠦⢤⣀⠀⠀⠀⠀⢀⣤⠖⠒⠛⠛⠓⠂⠀⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡶⠋⢀⡀⠀⠀⢻⠀⠀⠀⠤⡀⠈⠳⣄⣀⡴⠋⢀⠔⠈⠉⢉⣱⠀⢀⠤⡄⠈⠳⣤⠠⠤⠦⢤⡀⠀ ⠀⠀⠀⠀⠀⣰⠋⢀⡔⠁⣸⠀⠀⠈⠀⠀⠀⠀⠘⢂⠀⠘⠋⠀⠐⠇⠰⠂⠉⠁⠀⠀⠈⠉⠀⠀⢠⠘⣧⠀⠀⠀⢻⡆ ⠀⠀⠀⠀⠀⡟⠀⡼⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⢸⡄⠀⠀⣼⠇ ⠀⠀⠀⠀⠸⡇⠀⠣⣀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⣸⠀⢀⣼⠋⠀ ⠀⠀⠀⠀⠀⣷⠀⢀⡄⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢀⣯⡾⠛⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣷⠀⠑⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢀⣠⢷⡟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⠹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢱⡀⠀⠀⠉⢰⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠉⠁⠆⠉⠀⢙⣷⣄⠰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠶⣚⠁⠀⢙⡶⢃⡴⠋⠀⢀⠀⠀⠀⠀⠀⠀ ⠀⣠⠄⠀⠀⢀⣴⠋⠀⠙⢦⡙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⠀⠀⠈⠳⡀⡜⡠⠊⠀⠀⣀⡘⣁⣀⠀⠀⠀⠀ ⠀⠐⠁⠀⢀⡏⡏⠀⠀⠀⠀⠙⠶⣌⠓⠄⣀⠀⠀⠀⠀⡀⠼⣀⣀⠀⠀⠀⠀⠀⣷⠁⠀⠀⠀⠀⠀⠸⠇⠀⠀⠀⠀⠀ ⠸⣁⡇⠀⠸⡇⠣⣀⠀⠀⠀⠀⠀⠈⠻⣦⣉⣄⡤⠔⠂⠀⠸⠀⠀⠀⠀⢀⡴⠒⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠶⢤⣭⣴⣦⣶⡾⠾⠟⠛⠙⢷⣄⡀⠀⠀⠀⠀⢀⡤⠞⠉⠀⠀⠀⢀⣠⣎⡁⢲⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡒⡂⠀⠈⠛⠲⣄⡴⠞⠁⠀⠀⠀⠀⠀⠀⠨⡌⢪⡿⠚⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠉⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠰⣉⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣷⣠⣴⣶⣶⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣀⠀⠀⠀⣠⣴⣶⣿⣿⣶⣤⡀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⢀⣴⣾⣽⣿⣿⣿⣶⣴⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⣠⣄⣠⣤⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⣠⣤⣤⡀⠀⠀⠀⠀ ⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣿⣿⣿⣿⡿⠀⠘⢿⣿⣿⣿⠿⠛⠉⠁⢠⣾⣿⣾⣿⣿⣿⣇⠀⠀⠀⠀ ⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠙⠻⠋⠀⠀⠀⠈⠃⠁⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⢀⢤⣴⣶⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡌⠛⠻⢿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⠟⠁⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⣠⣴⣾⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣤⡀⢀⣤⣄⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⠟⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⣤⣄⠀⠀⠀ ⠀⠀⢀⣤⣤⣤⣀⡉⠛⠁⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⣿⣤⣤⡀ ⠀⣰⣿⣿⣿⣿⣿⣧⣤⣿⣿⣿⣶⡄⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠸⣿⣿⠿⠟⠃ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣡⣤⣤⡀⣠⣤⣤⣄⠀ ⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⣸⣿⣿⣿⣷⣿⣿⣿⣿⡇ ⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⣰⣷⣦⣴⣤⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠁⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠘⢿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠸⣿⣿⣿⠟⠀⠀⠈⠻⣿⣿⣿⣿⡿⠟⠉⠀⣾⣿⣷⣶⣦⠙⢿⣿⣿⣿⣿⣿⠏⠀ ⠀⠀⠀⠀⠀⠻⠛⠉⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠀⠀⠀⠀⠀⠀⠙⠟⠉⠀⠀⠀⠀⠘⣿⣿⠿⠋⠀⠀⠈⠛⠿⠋⠀⠀⠀
⠀⠀⠀⠀⣠⣤⣤⣴⡿⠛⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡇⠀⠙⠀⢀⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡿⣦⣀⣠⡿⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠇⡁⢹⡏⠂⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⢘⡇⠁⡃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀ ⠀⢈⣷⡿⣿⠿⢷⣦⣆⠀⣰⣤⣶⠿⢿⣿⣷⡇⠀⠀ ⠀⣾⡿⠃⠈⠀⠀⢈⣿⣿⣿⡁⠀⠀⠀⠀⢻⣿⡀⠀ ⠲⣿⡷⠀⠀⠀⠀⠘⢀⡿⡅⠙⠀⠀⠀⠀⢺⣿⡿⠂ ⠛⢻⣿⡃⠀⠀⠀⠀⠘⢀⡇⠀⠀⠀⠀⠀⣿⡿⠛⠀ ⠀⢈⣿⣿⣁⠀⠀⠀⠀⠈⠀⠀⠀⠀⣀⣽⣿⣃⠀⠀ ⠀⠀⠀⠿⣿⣷⡀⡀⠀⠀⠀⢠⡀⣴⢿⡟⠇⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢿⣷⡞⠀⢲⣾⡿⠿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠉⠛⣷⡛⠁⠘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠤⡔⢒⠲⣒⣤⣲⡀⢒⣒⠢⢄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠤⠒⠖⢉⡤⣝⢶⡷⣿⡾⣟⡷⣫⣷⣻⣟⣷⣶⣤⡘⣧⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⢼⠿⠻⣟⣛⣛⠠⠠⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⠠⠛⡜⠇⡃⠇⠘⠻⠼⣇⠿⠧⠿⠃⠟⠿⡇⠿⣧⡿⣼⣟⣿⣿⡠⢇ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣺⢽⣴⣾⣿⢿⣟⣿⣼⣻⢷⡶⣤⣤⣉⠢⢄⠀⠀⣠⠊⡁⣀⡶⣒⡲⣽⢳⢟⣻⡝⡷⣶⣤⣀⠐⠻⣒⠒⠲⠤⣤⠉⢿⣽⣿⣿⣿⡇⢸ ⠀⠀⠀⠀⠀⠀⢀⣔⣟⣶⣿⣿⢿⣾⡿⣿⣾⣞⢿⣿⢣⡿⡽⢮⣽⣳⣄⠁⠉⢂⣴⢛⣭⡻⣜⣳⢻⡽⣎⡷⣫⢻⢳⢜⣿⣿⣦⡈⢦⡀⠀⠈⣷⠂⣿⣿⢿⣿⢐⣾ ⠀⠀⠀⠀⠀⣠⣏⣾⣿⣿⣷⢟⡋⠔⡱⢀⡁⢏⠿⣾⣹⣝⣻⢧⢞⡶⣣⣟⣯⡽⣼⢣⣳⣹⠶⣪⢿⡰⣏⢷⠩⣞⢧⢛⣼⡝⣿⣿⣦⠘⣄⢤⡓⢨⣿⣿⣿⡏⣼⠃ ⠀⠀⠀⠀⢠⣿⣾⣯⣿⣿⢃⢎⠄⠸⠜⡄⢐⡆⠄⠸⡷⢮⣟⡮⣟⡼⣣⢯⣶⢫⠵⣏⠷⣵⢚⡵⠾⢗⡾⢭⡳⡽⢮⣼⢺⣿⢸⣿⣿⣧⠈⠏⢡⣾⢿⣿⠏⣰⠃⠀ ⠀⠀⠀⢀⡿⣿⣿⣿⣿⣯⢱⢊⠎⠄⢫⠀⠠⡌⠀⢠⣽⢯⣶⢻⡬⣷⠟⣮⣞⡙⡾⣭⢟⡞⢧⣺⣽⡡⢟⡧⠱⣟⣳⢩⢿⣳⡭⣿⣿⣿⢃⣸⠿⣿⡿⢋⡾⠁⠀⠀ ⠀⠀⠀⢸⣽⣿⣿⣿⣿⣻⣄⢣⢃⢚⡱⠄⢁⢣⢠⡾⣭⡟⣯⣻⣹⣎⡟⣷⢫⣳⢻⡕⢮⡻⣼⢲⠮⡕⣻⡵⢏⡗⣏⡞⣯⣗⢾⣿⡟⢁⣼⣳⣿⠏⣴⠋⠀⠀⠀⠀ ⠀⠀⠀⢸⣽⣿⣿⣿⣿⣿⣟⣿⣦⡼⣴⣣⣾⣻⣿⢽⣳⢯⣿⢾⣱⢯⡞⣯⣗⣏⡽⢯⣫⢷⣑⣫⢷⣍⢧⡽⡺⣜⢷⢸⣷⢫⠛⢁⣤⢿⣾⠟⢁⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣟⣿⣿⣻⢿⣽⣳⡿⣼⢯⡿⣗⡿⣻⡼⣷⡏⣷⣾⣹⣻⡝⣶⢏⣶⢫⡟⣜⣫⢶⣹⣏⠯⡗⠋⢁⣠⣿⣾⠛⣁⢨⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣟⣿⣷⣯⣿⣾⡷⣿⣽⢯⣿⡷⣟⣧⢻⣳⣍⣷⣭⡗⣯⣽⡽⣾⡭⣗⣯⣜⡷⣗⡮⡯⠋⣀⣶⣿⡾⢋⣥⣾⠏⡺⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⢿⣿⣿⣿⣿⣿⣟⣾⣿⣷⣟⣿⡾⣟⡾⣽⣹⢞⡷⣻⡗⣮⡷⣹⡾⣽⢺⣵⢯⣳⣞⣞⠯⠟⢁⡰⣦⡿⢟⣡⣴⣿⣿⠏⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣾⣻⣽⣷⣻⢷⣻⣯⢾⣽⣳⣽⡳⣭⣿⣹⡾⣽⣞⡿⢞⢁⣰⣧⣿⠿⣋⣤⣿⣿⣿⣿⠋⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⣿⣿⣿⣿⣿⣫⡿⣿⣿⣿⡾⣿⣿⣷⡿⣟⡷⣯⣿⣳⣟⡾⣽⣓⠾⣽⡳⣿⠷⠟⣉⢁⣰⣮⣿⠿⣛⣡⣾⣿⣿⣿⡿⡟⡰⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⣿⣿⣿⣿⣿⣻⡏⠛⢿⣿⢿⣿⣿⣿⢾⡿⣟⣿⣿⣳⣯⣿⡽⣞⣯⣟⡿⠙⢃⣥⣼⣿⡿⡟⣫⣴⣾⣿⣿⣿⣿⡟⢫⡵⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠉⠻⡽⣿⣿⣿⣿⣿⣻⣾⣿⣽⡿⠹⠟⣉⣤⣶⣾⣿⡿⠛⣥⣵⣾⣿⣿⣿⣿⡿⠿⣁⡞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣢⢀⣀⠀⣀⢈⣓⣯⣟⣿⣿⢿⢻⣍⣾⣴⣿⣿⣿⠿⢻⣹⣴⣾⣿⣿⣿⣿⣿⣿⡟⣫⡵⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⣽⣾⣷⣾⣿⣿⣿⣿⣿⠛⣭⣧⣾⣿⣿⣿⣿⣿⣿⣿⣿⢫⣥⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠹⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣯⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⢭⡶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠞⠛⠃⠉⠁⠉⠚⠿⣛⢿⣿⠿⡟⣟⡭⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠋⠙⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠑⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣠⠴⠚⡙⠙⠲⣤⣠⠖⢋⡛⠙⠲⣄⠀⠀ ⣴⠃⣰⠟⠉⠙⢦⡈⢁⣾⡟⠉⠳⣆⠸⣇⠀ ⣿⠀⣿⠀⠀⠀⠀⠛⠛⠁⠀⠀⠀⡿⠄⣿⠄ ⠸⡄⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⣰⡏⠀ ⠀⠙⣆⠙⢧⡀⠀⠀⠀⠀⢀⡴⠃⣰⠏⠀⠀ ⠀⠀⠈⠳⣄⠙⠶⣄⣀⠴⠋⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠈⠓⢦⡈⢡⣰⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠋⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣰⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⠀⠀⠀⢀⣄⠘⠀⠀⣶⡿⣷⣦⣾⣿⣧ ⢺⣾⣶⣦⣰⡟⣿⡇⠀⠀⠻⣧⠀⠛⠀⡘⠏ ⠈⢿⡆⠉⠛⠁⡷⠁⠀⠀⠀⠉⠳⣦⣮⠁⠀ ⠀⠀⠛⢷⣄⣼⠃⠀⠀⠀⠀⠀⠀⠉⠀⠠⡧ ⠀⠀⠀⠀⠉⠋⠀⠀⠀⠠⡥⠄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣦⠀⠀ ⠀⠀⣠⣤⣤⣄⣀⣾⣿⠟⠛⠻⢿⣷⠀ ⢰⣿⡿⠛⠙⠻⣿⣿⠁⠀⠀⠀⢸⣿⡇ ⢿⣿⣇⠀⠀⠀⠈⠏⠀⠀⠀⠀⣼⣿⠀ ⠀⠻⣿⣷⣮⣤⣀⠀⠀⠀⠀⣾⡿⠃⠀ ⠀⠀⠀⠀⠉⠉⠻⣿⣄⣴⣿⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡿⠟⠁⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣠⣤⣤⣤⣀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⣠⣿⠿⠛⠛⠛⠛⠛⢿⣷⣤⣾⠿⠛⠛⠙⠛⠛⠿⠗⠀⠀⠀⠀ ⠀⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠙⡿⠁⠀⢀⣤⣀⠀⠀⢀⣤⣶⡆⠀⠀ ⢸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀ ⠸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣧⣄⠀ ⠀⢹⣿⠀⣿⣷⣄⣀⣤⡄⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷ ⠀⠀⣁⣤⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠘⠛⠛⠛⠻⣿⣿⣿⠋⠉⠀⠀ ⠀⠘⠻⢿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢀⡀⠹⣿⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⢹⣿⠟⢙⠛⠛⠀⠀⠀⠀⠀⣀⣴⡿⠓⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠁⠀⠈⠻⢿⣦⣄⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢛⡛⠛⢿⣿⡿⠛⡉⣍⡙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⠠⠁⠙⢷⣤⠙⢁⠄⠀⠈⠃⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠠⠀⠈⢉⣓⣶⣁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠁⠂⡀⠐⠺⠻⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠈⢷⣄⡀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠙⢁⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡭⣿⣿⣿⣿⣿⣿⠃⢠⣾⡄⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣺⣿⣿⣿⣿⣿⠇⢀⣾⣿⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠀⣸⣿⢃⣾⣿⣿⣿⣿⣿⠛⣿⣿⡿⠿⢿⣿⣿⠿⠿⢿⣿⣿ ⣿⣿⣿⣿⣿⣿⠃⠀⠟⣡⣾⠏⠠⢈⡉⢿⣿⠀⢸⣿⠁⠁⣸⣿⠃⢀⠟⣠⣿⢿ ⣿⣺⣿⣿⣿⣫⠀⢠⣿⣿⡧⢀⣞⣈⠃⢘⣋⠀⠘⣿⡇⠀⣿⠏⠀⢸⣿⣿⢋⣼ ⣿⣿⣿⣿⣿⣿⠀⠸⣿⡿⣠⡈⠟⢁⣼⣿⣿⡇⠀⣿⢁⣿⣿⣇⠅⢿⡿⣣⣾⣿ ⣿⣿⣯⣿⣿⣿⡇⠀⠛⣱⣿⣿⣿⣿⣿⣿⣿⣿⣄⣥⣾⣿⣿⣿⣷⣶⣾⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠿⣿⣿⣿⣿⣿⠿⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿hhgvl⣿⡟⣿⣿ ⣿⣇⠀⠹⣿⣿⣿⡟⣸⣿⣿⠋⢰⣿⣿⣦⡙⣿⣿⡯⠁⢰⣿⣿⣿⣿⣿⡇⢸⣿ ⣿⣿⣧⠀⠽⣿⡿⢰⣿⣿⡏⠀⣿⣿⣿⣿⣷⠸⣿⡇⠀⢸⣿⣿⣿⣿⣿⣧⢸⣿ ⣿⣿⣿⣷⡀⠙⢣⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⡇⣿⡇⠀⢸⣿⣿⣿⣿⣿⣿⢸⣿ ⣿⣿⣿⣿⣷⠀⢸⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⡇⣿⣇⠀⢸⣿⣿⣿⣿⣿⡿⢸⣿ ⣿⣿⣿⣿⣿⠀⢸⣿⣿⣿⣇⠀⢿⣿⣿⣿⣿⡇⣿⣿⡄⠈⣿⣿⣿⣿⡿⢃⣼⣿ ⣿⣿⣿⣿⣿⡆⠸⣿⣿⣿⣿⣦⡈⠿⣿⣿⠟⣡⣿⣿⣿⣶⣄⣙⣛⣋⣤⣾⣿⣿ ⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠶⢦⣄⠀⠀⠀⠀⠀⣴⠟⠛⢧⣠⣶⣿⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⡟⠦⠌⠛⠉⠉⠉⢹⠇⢠⣶⣼⣷⣞⢙⣧⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣤⠃⠀⠀⠀⠀⠀⠀⣿⠀⠈⢻⡃⠀⢸⡿⡄⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠘⠷⠖⠛⠛⠛⢿⡗⢋⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢻⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡶⠾⣷⠆⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠐⢺⡟⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⢿⡦⠀⠀⠛⠃⠀⠀⢠⢶⣄⠀⠀⠈⠛⠀⠀⠀⣺⠓⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣖⡀⣀⣀⡀⠀⠈⠉⠉⠀⠀⣀⣀⣀⠀⣲⣯⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⡆ ⢻⡈⠻⣦⣀⣀⣀⣀⣀⠀⠀⠀⠁⣴⠟⠉⠁⠀⠉⠛⢦⡀⢀⡴⠛⠉⠁⠈⠙⠻⣄⠀⠁⣀⣠⣤⣤⣤⣤⡤⠖⠋⣸⠇ ⡿⠳⣤⣀⡀⠀⠀⠉⠉⠉⠳⢦⣼⠃⠀⠀⠀⠀⠀⠀⠀⠿⠋⠀⠀⠀⠀⠀⠀⠀⠹⣦⡞⠉⠀⠀⠀⠀⠀⢀⣠⠶⢻⡆ ⠻⣦⣀⠀⠀⠀⡴⠶⢦⡀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⡴⠚⠳⡄⠈⢉⣀⣠⡾⠁ ⠀⠸⣍⣉⣁⡀⣇⠀⠀⠑⠀⢠⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢷⡀⠀⠓⠀⢀⡇⢤⣈⣭⠿⠁⠀ ⠀⠀⠀⠙⠷⠤⠿⠶⠦⠶⠞⠋⠘⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠈⠻⠦⠴⠖⠻⠶⠶⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠻⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⡀⢀⣤⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀꒰♡˃̶̤́ ꒳ ˂̶̤̀ ꒱꒰♡˃̶̤́ ꒳ ˂̶̤̀ ꒱😇😇𓆩♡𓆪𓆩♡𓆪𓆩ꨄ︎𓆪𓆩♡𓆪☆
⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⡀⠀⢿⡿⣁⠀⢆⡘⠤⡘⠠⢰⠃⡄⠂⠄⠀⠀⠀⠀⡀⡆⠌⢄⠀⠀⢠⡇⠂⡌⠄⠀⠀⠀⠀⠀⠀⠡⣖⠀⢃⠸⠀⠸⣟⡄⠘⡽⡜⡄⠀⠀⠀⠈⠦⠀⠀⠀⠸ ⣿⣿⣿⣿⣿⣿⡿⠁⠈⢻⡝⣟⣷⡿⢁⠤⢀⠢⢌⠰⡀⠂⡟⠠⡄⠈⠀⠀⣀⠤⠐⣰⠌⡈⢄⠂⡡⣺⠄⡇⠰⠈⡄⢃⠰⢀⠰⢀⠂⢽⠂⢼⠐⡠⠄⣿⡼⡀⠱⢹⡰⠀⠀⠀⠀⠀⣆⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠁⢄⠠⢀⣹⣞⡿⢁⢊⠰⢀⠎⡐⢂⠁⢳⠋⠴⠁⠀⣠⠞⡠⢁⣺⡇⠤⢁⠢⠘⢠⡿⢰⡏⠄⢃⡐⢈⠰⢈⠰⢸⠌⣸⠌⢺⡐⠤⢈⣽⣧⢩⡄⢉⢧⠡⠉⡍⠒⠤⣸⡀⠀⠀ ⣿⣿⣿⣿⣿⣿⠩⡐⠌⢿⡯⣿⠇⡌⠢⢡⠈⡔⠈⠂⠃⢾⢈⠒⠀⡴⢁⡾⠑⣸⢻⢀⠒⢠⠂⡉⢼⡇⢸⡇⠌⠄⡄⢃⠰⢈⠰⠸⡂⢼⢈⢹⠆⠰⢸⢿⠸⡆⢷⢈⠸⣄⠃⠤⢉⡐⠨⣧⠀⡀ ⣿⣿⣿⣿⣿⣿⡟⣿⣻⢾⡷⣿⠐⡄⢃⠆⠈⠐⠁⠀⠀⣾⠸⠀⢀⡇⣼⠇⢡⡏⣇⠢⠘⡀⠆⢡⡎⡇⢺⣇⠘⢠⠐⠨⡐⢂⠢⢡⡇⠾⢈⢸⡃⡘⢼⢸⠀⢻⠈⣇⠌⣷⢈⡐⠂⠤⢱⢿⠀⠔ ⣿⣿⣿⣿⣿⣿⣯⡚⢧⡻⣽⡏⠰⡈⢄⠈⠀⡀⠀⠀⠀⣿⢸⢀⢂⢸⡟⡈⢼⢳⠁⢂⡁⠆⡑⢺⢱⡇⣼⢿⠈⠄⡈⠡⢐⠠⢁⢺⡄⡟⡀⢺⢁⡴⡿⢸⢄⠈⡇⢺⡆⢸⡆⠤⢉⠰⢐⣸⠈⠔ ⣿⣿⣿⣿⣿⣿⣿⣷⠁⢿⣹⡇⠡⠌⠀⠀⠀⠀⠀⠀⢀⡿⣸⠀⢂⣿⢃⠐⡞⡼⢈⣄⣐⣤⡴⡯⢼⠴⡿⢼⠾⠶⠶⠶⣤⠂⠌⣹⢰⡇⡐⡏⢸⢡⡇⡽⡀⠑⢳⠐⣷⠀⢿⡇⠌⡐⠂⡽⢈⡐ ⣿⣿⣿⣿⣿⣿⣿⡏⠠⣄⣿⠄⠀⠀⠀⠀⠀⡅⠀⠠⢠⡟⣧⠈⣰⣿⠀⣼⠴⡗⢉⠉⡐⢠⢷⠃⢸⢠⠃⢸⣿⠀⢀⠂⢸⠀⢂⡏⣼⠁⣸⠁⡏⡜⡇⡧⠬⣴⣼⣀⢿⢇⢸⣹⠀⠀⡁⠇⡃⠄ ⣿⣿⣿⣿⣿⣿⣿⣇⡷⠊⢸⠀⠀⠀⢠⣦⣄⠇⡈⢁⠆⣿⣧⠐⣽⡇⠐⣾⢰⡇⢂⠡⢈⡏⡞⠀⡼⣸⠀⠀⣿⠀⠀⠂⣏⠐⢸⢡⡟⢀⡏⣼⢱⠁⣧⠁⠀⠀⠈⡟⣻⠺⣤⣿⡆⠐⠀⡇⠄⡈ ⣿⣿⣿⣿⣿⣿⣿⣿⣄⠂⣿⠀⠀⢠⠃⢿⣣⠐⠠⠌⠠⣿⣿⠀⢿⠃⢌⣿⠸⡇⢀⢂⡼⡼⠀⢀⢧⡯⠄⡀⣿⠀⠌⢰⡇⠈⣼⡿⠁⡞⣸⢇⠇⢰⡟⠀⠀⠀⠈⡇⡝⠀⢇⡟⡧⣄⠂⡇⠀⢰ ⣿⣿⣿⣿⣿⡿⢭⢿⣿⣶⣻⡆⠀⡏⠠⠸⡽⣏⠐⡈⡐⢿⣻⡠⣿⠈⢸⡍⣆⣧⣾⣾⣿⣿⣶⣾⣾⣆⠄⠀⣿⡆⠀⣸⠁⣸⡿⢁⡞⡕⡹⡌⠀⣼⢁⠤⠤⢀⣀⡇⡇⠀⠸⣼⡇⠀⠑⣷⠈⣸ ⣿⣿⣿⣿⣿⡹⢎⣗⡻⣿⣷⣇⠘⣇⠄⡁⢻⣽⡆⠡⠠⢹⣿⡓⣿⣴⣿⣿⣿⣿⡿⣟⣿⢫⣟⣏⠉⠙⠛⠶⣿⢿⠀⡞⢀⡟⢡⣾⠊⣰⠟⠀⣼⠃⣐⣤⣴⣦⣤⣧⣇⣠⠀⣿⡇⠀⡁⡏⠀⡿ ⣿⣿⣿⡟⣧⣛⡭⢶⡙⣿⢻⣿⡄⢻⡔⠠⡈⢧⢿⡆⢡⠈⢿⣇⣷⣿⡿⠛⣯⢽⡳⢧⡞⡷⠎⣽⡀⠀⠀⠀⠛⠘⠻⢣⣞⣴⠟⠁⠠⠏⠀⠐⠁⢸⣿⢿⣟⠿⣿⡿⣿⣷⣤⣸⡂⠀⢸⠃⢰⠇ ⣿⣿⡿⣹⣧⡓⢾⢷⡟⢸⣯⢹⣷⡌⢻⣄⠱⣌⠳⣿⣦⠲⠾⣿⣿⣿⠁⠈⣟⠊⢿⡧⢿⠃⡜⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⣟⡳⢾⡻⡴⢷⠈⠻⣿⣿⣟⠋⡟⢀⡎⠄ ⣿⣿⠳⣽⠲⣝⡿⢸⡇⣸⠙⣷⢺⣿⣧⡻⣷⣌⢢⡙⢽⣷⣤⠘⢧⠙⢦⡀⢻⡌⠠⢠⢁⠒⢯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣷⣹⡏⠵⡙⣺⠀⠀⠸⣿⣿⣾⢁⡾⠀⣲ ⣿⢫⡝⣾⢹⣾⢃⢹⡇⢼⠂⣿⣹⠋⢉⡿⣾⣿⣷⣌⠲⣽⢿⣿⣮⣷⣀⠈⠀⠙⠗⠒⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⢈⠩⠀⡥⠲⠏⠀⠀⣸⢟⣽⣫⡟⢁⣴⢏ ⣏⢷⣙⣮⠟⡐⠢⢼⡇⢸⡿⢧⣟⠀⡇⡄⣤⢩⢿⣛⢷⣤⣭⣛⢿⣮⠉⠳⠦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢷⡼⠆⠀⠀⠐⠁⣿⣿⣋⣴⣾⢋⣾ ⣞⢺⣼⠏⡐⠌⡁⣿⡇⢸⡇⠼⣿⠀⢷⠀⢹⡆⣿⡉⠚⠶⣭⣻⣿⡟⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⢫⣿⡳⣵⡿⢿ ⣎⡿⢼⠂⡅⢊⠔⣿⣵⢺⡏⠄⣿⣧⡈⠓⢌⠷⢾⡇⢁⠢⢀⢹⠑⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣬⡿⢣⡓⣸⣇⢻ ⣾⣃⡯⢼⣀⠣⣈⣿⡽⣺⠛⢠⠹⡻⣿⣦⡀⠑⠪⣇⠂⠔⡈⡾⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢰⠟⡞⠡⢠⢰⣿⠸⣸ ⣿⣿⣳⢯⣿⣿⣿⣷⣽⣹⡇⠌⣷⢳⢋⠻⢿⣦⣀⡟⡀⠊⢰⡇⠂⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠁⠀⠉⠢⢀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠊⠀⠈⢺⡞⠠⢁⢂⣯⡏⠵⡘ ⣿⣿⡜⣿⣿⣿⣿⣿⢾⣻⣧⡂⢹⣏⣿⡄⠌⢻⣿⣧⠀⠡⣸⠠⠁⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠐⠁⠀⠀⠀⠀⠀⠀⠀⠉⠫⣦⠀⠀⢀⠔⠁⠀⠀⠀⡀⠀⠙⢦⢁⡞⣼⡙⢦⠑ ⣿⣿⡽⣹⣿⣿⣿⣿⡯⣷⣯⢿⣄⠻⣜⣷⡈⠄⢻⣷⠈⢠⡗⠠⠁⣿⢸⣄⠀⠀⠀⠀⠀⠀⢀⡔⠊⠉⠀⠀⠀⠀⠀⠀⡰⠂⠤⣀⠀⠀⢀⣃⠀⣰⠁⠀⠀⡴⢴⣧⠀⠀⠀⠀⠙⢦⡏⡝⢢⠌ ⡿⣿⣿⣽⣿⢿⣿⣿⡷⣣⢿⣯⣻⢷⣽⢞⣿⡄⠂⣿⠀⣸⠃⠠⢁⣷⠸⡇⠑⢤⡀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⣀⠔⠀⠀⠀⠀⠈⢧⡀⢿⣿⣾⡿⠁⡠⢊⣴⣿⢸⡷⣄⣐⠀⢀⠄⠙⠓⠧⣌ ⣿⣷⣿⣿⣿⣿⣿⣿⡿⣵⢫⣷⣏⣟⣾⣻⣾⣿⣆⢿⠀⡿⠀⠀⠂⣼⠐⣿⡀⢀⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⢄⡀⠀⠀⠀⠀⠑⠮⠿⠛⠒⢈⣴⣿⣿⡏⡾⢁⠈⣿⠖⠁⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⣿⣯⣟⣷⢯⣿⣿⣿⢰⠃⠀⠀⠐⢸⠀⣻⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⠄⡀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣃⠇⢂⢡⠏⠀⠀⠀⠀⢀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⢾⡻⢷⣯⣿⣼⠀⠀⠀⢀⡼⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣤⣀⡀⠀⠀⠀⠀⠈⠢⣤⣾⣿⣿⣿⣿⣿⣿⣿⢸⠠⡱⠃⠀⠀⠀⣠⣶⠋⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢾⣽⣯⣞⣽⡟⠀⣠⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣷⣤⡀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣷⣿⢀⡜⠁⠀⠀⣠⡞⡱⠁⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⢿⣿⣿⣿⣧⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⢀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⡀⠀⠀⠀⠙⢿⣿⣿⣿⣿⡼⠀⠀⢀⣾⣿⡟⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡻⣞⢾⡹⡿⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠂⢄⡀⠀⠀⣠⣿⣿⣿⣿⣦⣄⠀⠀⠀⠻⣿⣿⡟⠀⠀⣠⠂⢺⣿⡣⢀⢀⠄⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣝⣾⣿⣧⢶⡶⣿⢿⣿⣦⣤⣀⣀⣀⣤⣀⣴⣶⣤⣤⣄⡀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⢠⣾⣿⣾⡷⣰⠉⡆⣹⣿⣿⣶⣿⣆⡀⢀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡞⣯⢷⣏⡿⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣽⣿⡿⠕⠉⢆⢱⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡽⣾⣹⡞⣷⡽⣞⡽⣯⢿⣹⢯⣿⣿⣿⣿⣯⣿⡿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢪⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡽⣶⢯⡽⣞⣳⢯⡽⣞⣯⣽⢫⣿⡟⣿⣻⢿⡽⣿⣿⣿⣿⣻⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢷⣛⡾⣽⣹⡽⢾⣹⠷⣞⣞⠿⣼⣿⡘⣯⣾⣿⢿⣹⢯⣟⡿⣿⢿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠈⠻⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣳⣿⠁⠉⠛⣷⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣷⡾⣯⣿⣿⠀⠀⢀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⢸⡇⡇⠈⠫⠟⢿⠀⠀⣼⣿⠃ ⠀⠀⠀⠀⠀⠀⣰⣯⣿⡿⠛⢿⢿⣷⠀⠀⠀⠀⠈⢿⣯⣖⣂⣤⣄⣤⣿⣿⠏⠀ ⣤⣞⠟⠿⢯⡯⣿⣟⠉⠁⠀⢸⣼⣿⠒⠂⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠹⠃⠀ ⣿⣿⣄⠀⠀⢻⣿⡿⠀⠀⢀⣏⣟⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⣿⣷⣧⡀⠘⠛⠃⠀⣠⣞⣿⡯⠃⠀⠀⠀⠀⠀⠀⢀⣄⡄⡄⠀⠀⠀⠀⠀⠀ ⠀⠈⢿⣟⣮⣦⡀⡀⣴⣷⡟⠃⠀⠀⠀⠀⠀⠀⠀⡴⣟⣛⠛⢿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠛⣿⣿⣿⡿⠋⠀⠀⠀⡤⣄⣤⣤⣄⣾⡟⠀⠀⠁⣸⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⣷⡏⡏⠉⠉⢿⡇⠀⠀⣴⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⡮⡦⣀⠀⠀⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢭⢯⣵⣿⠿⠶⡿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠉⠵⠻⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀
⠀⠀⠀⠀⢀⠠⠤⠀⢀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠐⠀⠐⠀⠀⢀⣾⣿⡇⠀⠀⠀⠀⠀⢀⣼⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⡇⠀⠀⠀⠀⣴⣿⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣇⠀⠀⢀⣾⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⡟⠀⠀:¨ ·.· ¨: ⠀⠀⠀⠀⢰⡿⠉⠀⡜⣿⣿⣿⣿⣿⣿⣿⣿⠃.⠀⠀`· . ꔫ⠀ ⠀⠀⠒⠒⠸⣿⣄⢀⣃⣿⣿⡟⠉⠉⠉⢹⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠚⠉⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠘⠠⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠛⠁⠀⠒⠤⠀⠀⠀⠀ ⠨⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀ ⠁⠃⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠛⠉⠟⠻⣷⣴⣶⠿⢿⣶⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⢦⠀⢠⢠⣄⢉⠛⡀⢀⠀⠈⣿⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣀⣄⣠⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠘⠻⠀⠀⣳⣿⣧⡇⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣶⠿⠟⠛⠋⠉⠉⠉⠉⠉⠋⠻⠿⣶⣄⡀⠀⠀⠸⣿⡄⠀⠀⠀⣀⢄⢴⡎⠃⠀⢀⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣷⣄⠀⠙⢿⣦⡀⠀⠈⠡⠀⠑⢀⣴⣿⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣧⡀⠀⠙⢿⣶⣄⣰⣴⣾⡿⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⡟⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⣾⣁⣠⠼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣴⡾⠿⠿⠿⣷⣦⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡁⠀⠀⠀⠀⠀⠀⠻⠋⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠁⠀⠀⠀⠀⠀⠙⢿⣧⡀⠀ ⠀⠀⠀⠀⠀⠀⢘⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀ ⠀⠀⠀⣀⣤⣴⣶⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠁⠀ ⠀⣠⣾⠿⠋⠉⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠋⠀⠀ ⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠟⠁⠀⠀⠀ ⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣦⠀⠀⠀⠀⠀ ⢹⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀ ⠀⠹⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠉⠋⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⢤⣀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣷⣤⣀⣀⠀⠀⠀⠀⢀⣴⠶⠋⠉⠉⠉⢙⣶⣾⡃⠀⠀⠀⢀⣸⣧⣤⣴⣾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠓⠛⠒⠻⠶⠶⠶⠶⠿⠿⠿⠛⠛⠛⠟⠻⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠒⠂⠢⡄⠀⢀⠖⠋⠑⠢⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠁⠑⠃⠀⠀⠀⠀⠱⠀⠀⠀⠀⠀⣀⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠪⠀⠀⢀⡌⠉⠤⡀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠓⢄⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠋⢄⡂⠀⡇⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠆⡀⣀⠄⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⢋⣉⠈⡇⠀⠀⠀⠀⠀⡴⠀⠃⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠓⠒⠋⡀⡔⠀⠁⠀⠀⠀⠀⠀⠉⠉⠒⠂⠒⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠒⠶⠖⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣠⣤⣶⣶⣦⣄⡀⠀⢀⣤⣴⣶⣶⣤⣀⠀ ⣼⣿⣿⣿⣿⣿⣿⣷⣤⣾⣿⣿⣿⣿⣿⣿⣧ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏ ⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀ ⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀ ⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠻⠁⠀⠀⠀⠀⠀⠀⠀
⣠⣖⡋⠙⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣿⣿⠆⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠉⠀⠀⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡴⠚⡛⢻⠑⢶⣄⠀⣠⠔⠋⠉⠙⠻⣷⣦⡀⢀⣴⣦⠀ ⢠⡟⠀⡴⠋⢸⡄⠀⣿⣶⣧⣤⣤⡀⠀⠀⢻⣿⣿⡀⠙⠉⠀ ⣾⡄⠀⣿⣄⡸⣇⣴⣿⠿⣿⣿⣿⠇⠀⠀⢸⣿⣿⡇⣢⣤⡄ ⢹⣷⡀⠈⠻⠿⡿⠿⠋⠀⠀⠈⠀⠀⠀⠀⣼⣿⡿⠀⠘⠛⠁ ⠀⠻⣿⣷⣤⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡿⠁⠀⠀⠀⠀ ⠀⠀⠈⠙⠿⣿⣷⣦⡀⠀⠀⠀⠀⠀⣰⣿⠟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⠻⣿⣆⠀⠀⣠⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡀⠈⠻⡷⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣷⣄⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠊⠒⠒⠒⠒⠓⠉⠉⠀⠁⠉⠉⠉⠉⠉⠉⠉⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⢖⠤⣀⠇⠙⠉⠉⠉⠉⠈⡁⣉⣉⢭⠻⠛⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠏⠀⠀⠀⣀⣀⣀⠀⠉⣉⣟⣷⣯⣒⢴⡤⣀⠀⠀⣄⢧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠇⠈⠇⣾⠀⠀⠀⡏⢠⠀⠀⠀⠉⠋⠵⣭⢒⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡀⣀⢹⠀⠀⠁⡸⠀⠁⠋⡯⣪⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠙⠀⠀⠀⠀⣦⠰⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⣇⠉⠀⡾⠁⠏⣮⣠⠀⠀⠀⠀⠀⠄⠧⠀⠀⠀⠀⠀⠀⠀⠀⣄⠦⠘⠀⠊⡗⣷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢧⢿⡿⢠⠀⠀⠀⠀⠀⠀⠀⠉⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠉⡟⣾⣤⣆⠙⡀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠋⠗⢸⠀⠀⠀⠀⠀⠀⠀⠉⠀⣀⣀⣄⠦⠒⠙⠀⠁⠛⡿⣨⠀⠀⠈⠀⠀⢦⡈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⠀⠀⠇⣿⢠⡇⢸⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⣄⠹⠀⠀⢏⣷⣴⠀⡄⠹⠀⡄⠸⠀⠀⢇⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠹⠀⠀⣽⠀⠏⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡯⡮⠆⠻⠀⠀⡄⠘⠀⡀⠘⠀⠀⢱⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠑⠀⡏⣯⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⡿⢠⠀⣇⢸⠀⠀⢩⠀⠀⡇⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⣸⠀⡀⢷⠉⠀⠉⠚⠛⠒⠀⠀⠀⠀⠀⠀⠀⢿⣸⠀⠀⡇⢸⠀⠀⡇⠀⠀⡇⠀⠀⡏⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢦⠙⡿⠟⠏⣾⣠⠀⠀⠀⠀⠀⠀⠇⠥⠻⣿⠀⠀⠀⡇⢠⠀⠁⡼⠀⠀⡇⠀⠃⣱⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⣠⢹⠀⠀⠀⠀⠀⣼⢿⡼⠀⠀⠀⠀⠀⠀⠀⠋⡗⡽⣉⡄⣿⠛⠈⡆⠀⠀⡏⢀⠉⠞⣠⠚⢁⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠉⡼⡀⢦⠓⠉⠉⠉⣏⢠⠀⠁⠀⠀⠀⠇⢡⠏⢛⡽⢿⠓⠀⡏⠇⣦⠻⡇⠊⡴⠀⠀⠀⢇⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣤⠶⠓⡟⡍⢦⡗⣶⠥⣾⡇⣽⡿⡏⣏⠸⢧⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢾⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⢁⠟⣿⣿⣹⣿⢻⣿⠀⣿⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢦⠙⠉⠉⠀⠀⠀⠀⠀⠁⠀⠀⠁⠊⠖⣠⡄⢿⡿⣿⣿⣹⡟⠸⡏⢸⠀⠀⠀⠉⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠹⠈⠉⠏⡴⢀⡀⣀⣇⣿⣿⣿⢿⠙⠈⠀⠀⠀⠇⣿⣧⠿⣿⣟⣿⢡⡽⢿⠀⠀⠀⡏⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣀⠀⠀⠀⠀⠀⠁⣿⠿⢼⡿⣿⣷⢿⠛⠛⡿⣿⣿⣿⣿⣿⢹⣟⣽⣸⠀⠀⠁⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠟⣿⣽⣷⣿⣿⣿⣿⡿⣿⣿⣟⡿⣮⣻⣻⣾⡰⠀⠀⠀⠇⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⡿⣶⢴⡤⣦⣷⡭⣯⣿⡿⡯⡭⠿⣾⠴⡤⣴⢠⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠚⠖⠤⠤⣠⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢩⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢸⠀⠁⠉⠉⠉⠚⠴⣧⠀⠀⠃⠛⠉⠉⠉⠉⠉⠋⠒⠿⡿⣹⢸⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⡼⢡⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣃⠟⣿⢾⢠⠀⠀⠀⡎⠀⠀⢿⣯⣿⢰⠀⠀⠀⠀⠀⠀⡄⣽⣽⣽⠹⠀⠀⠁⠋⠙⠉⠉⠉⠉⠉⢞⡖⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠿⣷⣿⣶⡠⠀⠀⠀⠇⢠⠀⡇⡏⣿⣿⢸⠀⠀⠀⠀⠀⠀⠀⡀⣳⣷⣷⠳⠀⠀⡇⣹⣛⣽⣿⣻⠿⠷⠀⠀⠀⠀⠀⠀ ⠁⠁⠉⠉⠁⠀⠀⠀⠀⠀⣚⢒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣸⠀⡏⡇⣷⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣿⡏⣿⠀⠀⠀⣸⣀⣀⣄⠤⡤⣀⠀⠀⠀⠀⠀⠀ ⡇⡄⠙⡟⠀⢹⠉⠸⠀⡇⠤⠸⠼⠧⠀⠀⠀⠀⠀⠀⠀⠀⠃⡽⠉⠋⣷⣿⡯⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⣗⡿⢿⠭⠯⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⡀⢹⢸⠀⠀⡀⠀⢀⣄⣇⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⡄⣶⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣦⠀⡇⢠⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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