Grifflepuff Emojis & Text

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

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🧙🏻‍♂️🐉⚔️🏰🏹🐲🧙🏼🧛🗡💎💰💍🦇📜🛡️
⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠖⠉⠉⠉⠁⢈⣽⣟⠲⣄⠀⠀⠀⠀⣠⠤⣄⣀⣀⡀⠀⠀⠀⠀ ⢰⠀⠀⠀⠀⠀⣾⢿⣿⠀⣇⠀⠀⠀⢰⠃⣰⣶⣦⠀⠉⠓⠤⣀⠀ ⠈⡄⠀⠀⠀⣴⠟⣟⡇⠀⡟⠀⠀⢠⡏⠀⣿⣿⡿⠀⠀⠀⠀⠈⠇ ⠀⢱⠀⣀⡼⠹⡀⡼⠀⠰⡇⠀⠀⣸⠇⠀⡗⠋⣧⠀⠀⠀⠀⡸⠀ ⠀⠘⠈⠸⡇⠀⠘⢥⠀⠀⢻⣀⡼⠁⠀⠠⡃⠔⠹⡄⠀⢀⡜⠁⠀ ⠀⠀⠀⠀⠹⡀⠀⣀⣤⠤⣬⠥⢄⠀⠐⠋⠀⠀⡴⠍⠣⡘⠀⠀⠀ ⠀⠀⠀⢀⣼⠚⠉⡁⠀⠀⠙⠒⢄⡈⠠⡈⠢⡊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡟⠁⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠈⢢⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣿⡔⢀⣀⣾⡀⠀⠀⢀⠄⠀⠀⢠⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⢼⢹⢳⣿⣿⣿⣿⡆⢀⠆⣠⣴⣦⣾⡀⢣⠸⠀⠀⠀⠀⠀⠀⠀ ⢀⣰⠎⢸⣿⣿⣿⡿⠁⡆⡆⣿⣿⣿⣿⣷⣠⡀⠀⠀⠀⠀⠀⠀⠀ ⢎⡁⠀⠀⠀⠏⠁⢠⡾⢷⡇⠈⢿⢿⣿⣿⢸⡏⠀⠀⠀⠀⠀⠀⠀ ⠈⢷⣤⣤⣤⡀⠄⠀⠁⠈⠛⠀⠀⠸⠁⠉⠀⠳⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢈⡷⢧⣀⡀⡄⢀⠀⠋⣽⡷⠦⣤⡴⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠷⢦⢧⣥⣏⣹⣱⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⢠⠤⢲⢯⢫⡉⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣴⡊⣟⠆ ⠀⠀⡸⣘⡲⢾⡡⠂⠀⡠⠔⠒⠒⠢⡄⠀⠀⠀⠀⣐⡨⠯⠗⣩⡶ ⠀⣨⣀⠔⠘⠖⡘⠀⠘⠀⠀⣶⡆⠀⠈⣆⠀⠀⢈⠐⠞⢲⠂⢱⠀ ⢠⡟⠄⠁⡒⠈⢀⠔⠙⣄⠀⠀⠀⠀⡰⠁⠈⢂⠀⠓⡤⠔⠈⣵⠂ ⠘⡁⠀⠀⠻⡄⡜⢨⣄⡀⠉⠲⠮⠉⢀⣠⣤⡙⠄⡤⠃⠀⠀⠜⡆ ⠀⠣⠀⠀⠀⠹⡀⠸⣿⢾⡗⢢⣤⣶⠿⣾⠝⠀⡘⠁⠀⠀⠀⡔⠀ ⠀⠀⠳⡀⠀⠀⠹⣄⠀⠉⠉⠙⠋⠈⠉⠀⣄⡴⠁⠀⠀⢀⡜⠁⠀ ⠀⠀⠀⠉⢄⠀⠀⠉⠑⠤⣄⣀⢀⣤⣠⠺⠃⠀⠀⠀⡔⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠡⡀⠠⣄⢀⠀⠈⠉⠡⠁⠀⣠⠜⠀⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⠓⠀⠁⠙⠑⠄⣠⡤⠺⠊⠋⠀⠀⢣⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⠀⡘⢦⠀⡍⠁⠒⠒⠒⠂⢉⡁⠀⡠⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⣗⣈⣭⢞⢷⣷⠚⡄⠀⠀⠀⠠⣿⣳⢭⣏⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠳⠬⢤⣁⣭⠛⢾⠀⠀⠀⠀⠈⡕⠯⠄⠀⣴⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠠⣼⣿⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣄⣀⣴⠇⠀⠀⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣄⣠⣾⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠛⢻⣿⠛⠛⠛⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣧⣀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⢿⡿⠉⠉⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠈⣷⣄⣠⡾⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠸⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣧⣄⡀⠀⢈⣳⣶⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡏⠀⠉⠁⠀⠉⠙⡟⠉⠉⠀⠀⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣦⣾⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⢸⡇⠀⠀⠀⡄⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠚⠛⣿⠟⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠋⠀⢀⡼⠋⠁⠀⠀⠀⢻⣦⣤⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣧⣤⡴⠟⠀⠀⠀⠀⣀⣠⣼⣿⣿⣿⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡏⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⠟⣿⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⠏⠁⠀⣨⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡁⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⣄⣼⣶⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⣀⠴⠂⠀⠋⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡄⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⣀⣀⣀⠀⠀⠻⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠣⠀⠙⢤⣀⡀⢀⣀⣤⠴⠶⠖⠛⠛⠋⠉⠉⠉⣉⣽⠷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠶⢄⣴⡟⠋⠉⢛⠛⠒⠒⠒⠒⠚⠛⢋⠉⢉⣸⣦⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠦⣤⣀⣸⣥⣤⣶⣖⣒⣋⣽⠿⠀⠀⠛⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢏⣀⣠⢼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠒⠒⠂⠤⢤⡀⠀⠀⠀⢀⣠⡴⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠎⠀⠘⣄⣓⠶⡢⢤⣭⣷⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠈⣁⣀⣀⣹⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⠤⠖⠻⠿⠋⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣠⡄⡀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣿⣇⠀⠀⢻⡿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⠿⣿⣶⣴⣶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⠏⠈⠀⣿⢫⣩⣤⣙⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡟⠀⢀⣀⣿⣭⣿⡳⡟⠁⠀⠀⠀⢀⣤⣴⡷⣆⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡏⠀⠀⠈⠁⣠⡿⠶⠿⠃⠀⠀⣠⠞⠋⠀⠀⠀⠉⠀⠉⠉⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠁⠀⠀⠀⢰⡏⠀⠀⠀⠀⢀⡾⡁⠀⠀⠀⠰⠶⢦⣀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠸⣇⠀⠀⠀⣠⠏⠀⠀⣄⡀⡼⠛⠓⢦⡈⠓⠀⠀⠀⠀⠘⢦⣀⡀⠀⠀⢀⣀⣀⣀⠀⠀⠀ ⠀⢸⠀⠀⠀⠀⠀⠉⠳⣄⣠⠏⠀⠀⠀⠛⢻⡇⠀⠀⠀⠳⣄⣤⣀⡀⠀⣀⣠⣬⡟⣠⡶⠛⠉⠉⠙⢷⡄⠀ ⠀⠸⣇⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠒⠦⠀⠀⠻⣄⡀⢀⣰⠋⠁⠘⣷⠋⠉⠀⣾⣷⠏⠀⠀⠀⣀⠀⠀⢷⠀ ⠀⠈⠷⡿⡄⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⡿⢤⠞⢳⡉⠉⠀⠀⠀⠀⠸⠦⠤⠾⣽⠁⡄⠀⡶⣶⡿⢀⡀⣿⡀ ⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠻⣄⣀⡴⢶⡀⢀⣀⣄⡀⣼⠀⠁⠈⡷⣿⣵⡄⠙⢹⠁ ⠀⠀⠀⠀⢹⣄⣤⡀⠀⣤⢠⣄⢀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⣱⣟⢽⣋⣀⣤⣄⣳⡿⣿⣰⣶⡟⠀ ⠀⠀⠀⠀⠀⠉⠘⡇⠀⠉⠀⠻⠞⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣃⣼⣴⠟⠉⠁⠈⠉⠀⢷⣿⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⣠⠖⢢⣤⡾⢳⡄⣼⡿⢷⡮⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠙⠋⠠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣹⠂⠀⠀⠀⢶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢹⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⠂⠀⠀⠀⠀⣿⣧⡄⣰⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡄⠀⠀⢡⣧⣾⠟⠀⠀⠀⠀⠀⣴⡦⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡟⠀⣤⣼⠁⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠤⠤⠖⠋⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡆⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⠏⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⣀⡿⠲⢦⡀⠀⠀⠀⠀⠀⠈⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣼⠀⠀⠀⠀⠀⠀⠀⢻⠋⠀⠀⠀⣠⡾⠁⠀⠀⢻⠀⠀⠀⠀⠀⠀⢀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢧⡀⠀⠀⠀⡤⢤⣀⣀⣀⣀⣠⡾⠋⠀⠀⠀⠀⢸⡄⠀⠀⠀⢀⠀⢘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠛⠒⠛⠾⠃⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠀⠸⠾⠁⠈⠉⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⠶⣾⣄⠀⠀⠀⠀⠀⢰⣷⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⠛⠛⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣷⣮⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡽⠋⠀⠀⠀⠙⢿⣿⡿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⢹⣿⣿⡟⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⢯⣧⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡟⣿⡅⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢸⣯⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣽⣿⣤⣀⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢧⡰⣄⡀⠀⠀⣠⣾⣋⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣝⡶⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣇⡼⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢀⣿⠟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⡏⠳⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⢠⠞⢩⠏⠈⢹⡿⢿⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⢻⣿⠙⢿⡄⢀⣧⣠⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣀⣸⣀⣴⡟⠀⣼⠀⠀⣿⢿⣿⠁⠀⢸⣿⣿⡇⠀⠘⡿⢿⣏⠀⠈⣿⠉⢳⡀⢀⣿⠀⠈⣿⣾⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⢸⡀⣼⠃⠀⣿⡄⠀⣾⠃⠹⣧⠀⣸⡇⠈⣿⡀⢠⣿⠀⠀⣷⣼⣿⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⣸⣷⣼⣧⠀⠀⣿⣶⣿⠀⠀⣸⣷⣾⣿⣷⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢉⠉⠉⡉⠉⠉⠉⠉⠉⠉⡉⠉⠉⠉⠉⠉⠉⢉⠉⡉⣉⣉⣉⣉⣉⠉⡉⡉⡉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠚⠛⠚⠛⠿⠛⠙⠛⠛⠻⠓⠐⠛⠛⠛⠃⠀⠈⠺⠟⠛⠜⠛⠋⠙⠒⠁⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠋⠉⢹⣯⠉⠉⠛⠲⢤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⠀⣣⠤⠒⠒⣺⣿⡒⠒⠢⢤⡃⠉⠳⣄⠀⠀⠀⠀ ⢀⡀⠀⣠⠋⠀⡰⠊⠀⠀⢀⣼⠏⠈⢿⣄⠀⠀⠈⠲⡀⠈⢧⡀⠀⣀ ⠀⠈⢳⠧⢤⣞⠀⠀⠀⢀⣾⠏⠀⠀⠈⢿⣆⠀⠀⠀⢘⣦⠤⢷⠋⠀ ⠀⠀⡾⠤⡼⠈⠛⢦⣤⣾⡏⣠⠶⠲⢦⡈⣿⣦⣤⠞⠋⢹⡤⠼⡇⠀ ⠀⠀⡇⠀⠆⠀⠀⢾⣿⣿⢸⡁⣾⣿⠆⣻⢸⣿⢾⠄⠀⠀⠆⠀⡇⠀ ⠀⠀⣧⠐⢲⠀⣠⡼⠟⣿⡆⠳⢬⣥⠴⢃⣿⡟⠻⣤⡀⢸⠒⢠⡇⠀ ⠀⢀⣸⡤⠞⢏⠁⠀⠀⠘⢿⡄⠀⠀⠀⣼⠟⠀⠀⠀⢙⠟⠦⣼⣀⠀ ⠐⠉⠀⠹⡄⠈⠣⡀⠀⠀⠈⢿⣄⢀⣾⠏⠀⠀⠀⡠⠋⢀⡼⠁⠈⠑ ⠀⠀⠀⠀⠙⢦⣀⠈⡗⠢⠤⢈⣻⣿⣃⠠⠤⠲⡍⢀⣠⠞⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠦⣄⣀⡀⢸⣏⠀⣀⣀⡤⠞⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⡏⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⠛⠉⠉⠁⠀⠛⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡇⠰⢶⣟⣃⠀⠠⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣅⡀⢾⣿⣽⣶⠒⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠋⠉⠉⠉⠉⠉⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠃⠀⢈⠻⡿⠄⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣦⣝⣿⣦⣤⡉⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠛⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣯⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⢀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠂⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⣀⣰⡗⢀⣠⣤⣶⣶⣶⣶⣶⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠉⠿⣿⣿⣿⣿⠋⢤⣾⣶⠝⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡛⠿⣿⣿⢿⡀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣷⣌⣉⡉⣠⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⣤⣶⣶⣤⣀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⢫⠛⣧⠈⠻⡄⠀⣀⠀⠀⠀⠀⠀⠉⠻⢿⣻⠿⢿⣿⠿⣿⠿⠻⠃⠀⠀⣀⠀⠀⠀⠀⠀⢦⣾⣿⡿⠛⣻⣙⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢧⡞⠀⠛⣧⠀⢻⠟⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣠⣼⠗⠦⣤⠀⡾⣿⣿⣇⡘⠿⠟⣸⣇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠘⠁⣶⡿⣿⡖⣯⠀⡁⢿⣷⣤⣤⣽⡶⠦⠖⠒⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⡟⡠⢀⣿⡇⠃⠹⢻⣿⣿⣷⣾⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢦⡻⣤⣈⣆⢻⠀⢹⠸⠿⣿⣿⣦⣤⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⡻⠁⠀⠈⣼⡿⠃⠀⠀⠀⠁⠉⠉⠉⠁⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⡙⠷⠍⣹⣿⡄⠀⠀⢸⡈⢻⣿⣿⣿⣿⣶⣶⣶⣦⣤⣄⣀⣀⡀⠀⠙⠆⠒⠀⠹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣠⣿⡇⠀⠀⠀⠃⠀⢿⣿⣿⣿⣿⣿⣿⢿⣿⣿⢿⣿⣿⣿⣶⣶⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⢹⣦⣼⣥⠜⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣇⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣴⣯⣼⢸⣃⣿⡿⢹⣿⣿⢿⣿⣿⣿⣿⣶⣶⣠⣤⣾⣿⣟⠁⡄⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⢻⡄⠀⢀⠀⠀⠀⠈⢿⣿⣿⣿⣻⢿⣿⣿⣿⣿⣿⣷⣾⣿⣧⣾⣿⡞⠙⣻⣿⣿⣿⡿⢻⢟⠏⢀⢃⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣷⡀⠈⠄⢡⠀⠀⠀⠈⠻⣿⣿⣤⡿⢹⢏⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢀⡼⠋⢀⡼⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⡀⢹⣷⡄⠀⡈⣆⠀⠀⠀⠀⠽⣿⣿⣿⣿⣾⣁⠋⣿⡏⡿⠿⢿⣙⣼⣿⣿⠏⠁⢀⣾⡁⣉⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠸⣄⢿⣷⡄⢱⢤⡀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣶⣷⣶⣿⣿⣿⡿⠃⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⢸⡜⠾⣿⣿⣾⡆⢧⠀⠀⠀⠀⠐⢤⡀⢻⡿⢿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠓⠀⠘⡇⠀⢻⣿⣿⣿⡜⣧⠀⠀⠀⠀⠀⠉⠀⠡⢤⣬⣉⣉⡿⠋⠁⠀⡀⣀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠀⢀⣼⠃⠀⠀⠀⢻⠀⢸⣿⣿⣿⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠓⠉⠉⠀⠀⠀⠎⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⡏⠀⠀⠀⠸⡏⠀⠨⡿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠃⠀⠃⠀⢰⣧⠀⠀⠀⢹⣿⣿⣿⣿⣿⣷⣆⣀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢟⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡆⠘⣦⠀⠀⠀⠈⠛⠿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣦⣤⣤⣴⣿⢁⠎⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⠀⠀⠀⠀⡀⠀⠉⢻⢿⣿⣿⣿⣿⣿⣿⣟⣿⡿⠋⠂⢰⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠘⣦⣀⣘⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢀⡞⠀⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠰⠀⠀⠄⠀⠀⠤⢀⠨⢿⣿⣿⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⡾⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠹⣿⣮⣿⣿⣿⣿⣿⣿⢫⡄⣀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢯⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣲⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡤⠼⡄⠀⠀⠀⠀⠀⠀⠀⠀⡠⠒⠉⠉⠢⡀⠀⠀⠀⠀⠀⢸⠧⠼⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⡤⠚⢓⡦⠤⣤⠔⡦⠖⠻⠁⠀⠸⠆⠀⡷⣤⠤⣀⣀⢴⡛⠒⢤⣹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢟⠀⣠⠊⠀⡰⣡⠊⠀⢀⡠⠷⠄⣀⣠⠔⠳⡈⠳⡈⢦⠀⠘⢄⢠⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡟⢩⣍⢺⣷⠃⠀⢰⢃⠤⠤⢤⣀⠞⠉⠳⣄⠀⢱⡈⣦⠖⢾⡃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠖⠒⠢⢵⣮⣝⣻⠇⠀⢀⡼⠁⠀⠀⢰⣿⣷⡄⠀⠘⡄⠀⣿⣔⣩⢯⠷⠊⠉⠙⢦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⢠⠤⠬⣑⣾⠀⠀⠘⣿⣄⠀⠀⢈⣿⡟⠀⠀⣠⡇⠀⢸⠗⣛⠡⠄⠐⢧⠀⠈⢆⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡎⠀⠀⠀⣠⠃⠀⠀⠀⢹⠀⠀⠀⠈⠙⠛⠋⠁⠀⠘⢳⣿⠛⠀⠀⢸⠉⠀⠀⠀⠀⢸⡀⠀⠸⡄⠀ ⠀⠀⠀⠀⠀⣴⡿⠀⠀⠀⢰⣇⡀⠀⠀⠀⢸⡀⠀⠀⠀⣠⠴⡞⠉⠉⣏⢉⠏⣆⠀⠀⡜⠀⠀⠀⣀⠤⢼⠃⠀⢀⣷⠀ ⠀⠀⠀⠀⠐⡇⢀⠀⠀⠀⢈⠀⣹⠀⠀⠀⠀⣇⠀⣠⢾⡄⢰⠛⡄⢸⠹⡜⠀⢸⡄⢀⠇⠀⠀⠀⣇⠀⡄⠀⠀⠘⠛⡄ ⢀⣀⣀⣠⣤⣼⣿⣄⡆⠀⣿⡏⠁⠀⠀⠀⠀⡏⠸⣹⡾⠽⠷⠤⠼⠧⠴⠧⢤⠼⠿⣾⠀⠀⠀⠀⢹⡾⠇⠀⠀⠀⢰⠃ ⠘⣿⣝⠛⠛⣛⣿⣿⠭⣙⠉⠀⠀⠀⠀⠀⢀⣽⠋⢡⠛⠉⠉⠒⠒⠒⠛⠒⢦⠉⠒⠇⠀⠀⠀⠀⠈⠓⠒⠛⠒⠛⠋⠀ ⠀⠈⠙⠥⣀⣠⣞⠟⢀⡼⠃⠀⠀⣠⠔⠊⠁⣸⠆⡆⠀⠀⠀⠈⠙⠒⠠⠀⢀⡇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠊⢁⡔⠋⢀⡤⠒⠉⣀⣤⡴⠚⠁⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠈⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡀⠘⠓⠚⣁⡤⠔⣋⡵⠋⠀⣀⠴⠊⠉⠑⠒⠒⠒⠒⠒⠒⠒⠋⠉⠲⢄⡀⠑⠢⢀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠱⠶⠶⠭⠕⠻⡏⠀⠀⠀⣞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠟⠂⠀⠀⢨⠆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡗⠀⠀⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠏⠀⠀⠀⢸⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⡤⢤⡤⢼⠃⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⢀⠤⣧⠤⢴⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣧⠃⡏⠀⠀⠁⠀⠀⠀⢈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠉⠀⣀⠁⠀⠈⡆⠀⣹⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠓⠛⠒⠒⠊⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⣰⡤⠀⠀⡀⠀⠀⠀⢀⠀⠀ ⠀⠀⠀⠀⣀⣤⠶⠛⠛⠉⠉⠉⠉⠉⠙⠛⠻⠶⣤⡀⠁⠀⠤⢷⠂⠀⢀⡠⣷⠖ ⠀⢀⡴⠛⠉⠀⢀⡠⠤⠒⢒⣉⠉⠩⣭⣒⣦⠀⠀⠙⣦⠀⠀⠀⠁⢠⣄⠀⠘⠀ ⣰⢏⢀⡀⡴⠊⢁⠤⡂⠍⠒⢈⣩⠴⠒⠋⠁⠀⠀⢀⣿⠀⠀⠀⣰⣿⠋⠀⠀⠀ ⣿⢸⢸⠗⣇⠰⡡⠊⣀⠴⠚⠉⠀⠀⣀⣤⡴⡶⠞⠛⠁⠀⠀⡰⢫⠃⠀⠀⠀⠀ ⠹⣆⠁⠀⠈⠉⠉⠉⠁⠀⠀⣀⣴⡾⠟⢁⠔⣷⠀⠀⠀⠀⡴⣱⠃⢈⣦⠄⠀⠀ ⠀⠙⠳⣤⣄⣀⣀⣀⣠⣴⠞⠋⣁⠠⢒⠡⣪⠸⡆⠀⠀⡼⣱⠃⠀⠀⠙⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⠭⠽⠧⠬⠭⠅⠒⠈⠑⡪⢔⠅⢻⡀⡜⡴⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢈⠥⡪⠀⡟⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠫⢒⡟⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⡜⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠒⠲⠶⠶⠒⠒⠋⢉⣮⡞⠀⠠⢾⠒⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠠⡶⠄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣷⣧⣀⠀⠀⠀⠀⠐⣤⡴⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⡀⡀⠀⠀⠀⠈⢹⠋⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢻⠓⠀⠸⡮⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢲⠈⠀⠀⢀⠀⠀⠀⠼⡮ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣇⠔⠁⠀⠠⢷⠯⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣴⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡔⢁⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⢀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠾⠛⠛⠙⠋⠻⠙⠝⠳⠲⣦⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⠏⠁⠃⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠂⠉⠙⠻⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⡟⠙⠌⠠⠀⠀⠄⠀⡀⠀⠄⠀⠀⠀⠄⠀⠠⠀⠀⠄⠠⠀⠀⠈⠻⠋⠙⢶⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠋⢘⠄⠀⠀⠀⠄⠠⡀⠀⠀⠀⠠⠀⠀⠀⡀⠀⠀⠀⡀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠐⠄⠸⠻⠿⢶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⢋⣴⠞⠉⠀⢀⠀⠀⡀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢙⢻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⢋⢀⡞⡡⠀⠀⠀⠀⠀⢀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠠⡀⡈⢻⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⡟⠁⢠⡿⠁⠀⠀⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⢀⡀⠀⠀⢿⢰⠀⣾⠀⣇⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠙⢿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⣟⣽⢧⡻⢷⣿⣝⠢⣄⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⢧⡯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⢌⣻⣿⣿⠀⡀⠀⠀⠀⢀⣤⣤⣿⣿⣿⣿⣿⢿⡏⡣⣼⣿⢥⡫⡓⢝⠿⣯⣋⣝⣴⡿⠂⢐⢔⠫⣻⣷⣔⣻⡢⠀⢐⠀⠂⡂⢐⠌⠣⡓⢽⣿⡿⣿⢿⣷⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢛⡏⢌⣿⡻⣉⢝⣾⡣⡙⢷⣾⣯⣳⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⣾⡿⣟⢝⢭⡿⣿⣿⣿⣿⣿⣿⣿⣮⡫⣝⣿⠩⡻⣿⣤⣀⣿⣿⣿⣿⣿⣿⣿⢏⠡⣻⣿⢔⠨⡻⣿⣝⠭⡣⣉⢔⣬⡿⡃⢉⢌⡣⡣⣙⣜⣯⣳⣿⢅⠀⠠⡀⢀⠄⠠⡀⢙⠌⡻⡇⢙⣼⠤⡻⣿⣷⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢟⡠⣿⡏⢌⣤⡿⡉⢙⣴⡻⣳⣼⣯⡻⡷⢿⣶⣦⣤⣀⣀⣀⣤⣿⣼⠿⡣⡿⠍⠿⣿⣿⣿⣿⣿⣿⣿⣿⢷⡷⣿⢾⣧⡩⡟⢍⢌⣻⡹⢞⢯⣻⡷⠞⢼⣿⡧⠉⢌⠥⡹⡾⢭⠦⠫⡋⠀⢄⡤⡲⢍⢜⠡⣻⣷⣼⣿⡣⠀⠄⠀⠠⠀⢀⠄⠠⡢⢜⣿⠵⣻⣜⢄⠠⢻⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣴⣶⣿⣿⣣⣿⢟⠀⣺⣏⢋⣠⡿⣷⢝⣼⡳⡓⢜⣼⡫⡹⣟⢭⠿⡻⣻⢿⠿⡡⡛⢘⠯⡠⡛⠟⣿⣿⣿⣿⣿⣿⣿⣿⠟⠣⡱⣿⢬⣮⡹⡹⢾⣏⠣⡙⢿⣿⡠⡨⢹⢿⡄⡣⢀⢐⠴⡣⡙⠆⠀⣲⡋⢈⠌⠳⡢⢐⢾⣷⡃⣼⢅⠀⠠⠀⢀⠄⠠⡀⢀⠄⡢⣻⣍⢼⣧⡀⠀⢌⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⢟⢿⡹⡩⢻⢿⣀⣡⡿⢏⠠⣱⣿⢟⣮⡿⡓⢈⣮⡿⣷⣿⢿⡿⣻⣸⣿⣿⡳⣁⢎⠍⡡⡑⢼⣎⠃⡻⣿⣿⣿⣿⣿⣿⣿⣷⣭⢬⠿⣿⡫⢟⠺⠧⣿⣿⣌⣡⣹⣿⣾⡇⣩⣙⣿⡶⡻⣩⢌⠦⣠⡿⢋⢀⡰⡀⢈⢈⠰⣻⣿⣿⣿⡇⠀⢀⠀⡀⡀⢀⠄⠠⡁⢈⢼⣧⡹⣿⠌⠀⡀⢻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⣿⢟⢦⠷⡿⠄⢔⠀⠰⠹⢿⣤⡠⣼⣿⠦⣴⡿⢾⠶⡶⡿⢎⣿⠧⡂⢄⣾⡿⣹⡷⢆⠅⡠⠃⢀⠤⡡⣷⢀⠤⡽⣿⣿⣿⠿⣫⣿⣿⣧⡱⣅⢌⠂⠠⡀⢎⠀⠠⡱⢌⢌⠡⡡⠞⢟⠁⡡⢑⢬⠦⡠⣤⠟⠀⠀⡀⢀⠀⠀⡠⢀⢾⣷⡳⢼⢆⠀⠀⡀⢀⠄⠠⡀⢀⠄⠠⡱⢿⠜⠻⡇⠀⢀⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢍⢺⡷⡛⢈⢀⠀⡁⢀⢈⠀⡐⠩⢿⣿⡡⡸⢿⠄⡐⡫⢎⢜⣿⡧⢘⢮⡿⣿⣡⣾⠇⡀⡀⢈⠄⠠⡃⢈⠿⡧⡁⢜⢯⣿⣣⣾⣿⣿⢿⣿⣯⠈⡱⡁⢀⠀⠀⡑⢌⢄⠀⡁⠀⠔⠀⡁⢀⢌⠐⡁⢐⣼⠟⡁⡀⢈⠀⠀⡀⢈⢀⠠⣹⡏⢛⣹⡇⠀⢀⠀⠀⡀⢀⠀⠀⡁⢈⠌⠻⡷⢈⣿⠀⡁⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡰⣿⣍⠀⠀⡁⠀⢀⠀⡁⢀⢈⠀⡁⢩⢿⣿⣷⣢⢈⠆⡡⣹⣿⣾⣷⡿⢻⢿⡿⣿⠁⢈⠄⡀⡀⢈⠆⡠⣙⣿⢌⠡⠡⢭⣿⣿⣿⣿⡏⣿⣿⣷⣄⠀⡀⡀⢈⠀⠠⡁⢈⢈⠀⡁⢀⢈⠀⡡⠁⣬⣾⡷⠁⢀⠀⡀⡁⣠⢬⡐⡡⢈⢮⡿⡷⠛⢋⠀⡁⡀⢈⠀⡀⡀⢈⠀⡰⡱⢊⢿⡠⣻⣅⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⢮⢾⣷⣥⠀⠂⠀⡁⠀⢈⠀⠁⠀⢈⠀⠙⠻⠿⠿⡷⠷⢾⣾⣷⣿⣿⠮⣶⣿⣥⣿⠄⡀⠄⢈⠀⠐⡁⢂⠈⣿⡥⢂⠀⠠⣿⣿⣿⣿⣧⢿⣿⣿⣷⡅⢈⠀⠠⠀⠈⠀⠀⡀⢀⢈⠀⡵⠀⢨⡴⡛⠉⢤⠐⡀⠁⢠⣾⠃⡐⢈⠌⠀⡁⠀⠈⠀⡁⠀⠈⠀⠀⡀⢈⠀⡠⣵⢯⠮⣴⣻⣇⢨⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠖⡵⣹⢫⢻⣷⣁⠈⠈⠀⠑⠀⠊⠀⠁⢉⢊⠂⡱⣍⣮⡞⡑⢉⣻⠯⠃⡑⠋⢻⣟⣿⠁⠈⠂⠑⠁⢊⠊⡐⠁⢸⡎⠑⡑⣈⢚⣿⣿⣿⣿⣾⣿⣿⣿⣿⡑⣡⢮⣾⣴⣁⣈⠂⠀⡑⠈⢊⣴⡟⢙⢊⠀⠑⠁⢈⣲⠟⠁⠊⠈⠀⡁⠈⢈⠀⠑⠁⠈⠂⠁⠁⠊⠀⠀⣁⣾⠋⡑⣵⣿⢊⡽⡵⢿⠊⠠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣗⡍⠊⠚⡕⠍⠈⠛⢷⣵⣌⢈⠀⠁⠉⢈⠂⠑⣬⣾⣯⡗⢁⣬⣿⠟⠁⠈⠪⣰⣿⢏⣿⠄⠁⠁⠊⠀⠐⡁⢈⠂⡐⣷⠈⠊⡵⣕⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡴⣅⣈⠉⠙⡝⠻⠾⡴⡟⠁⢈⠂⡑⠁⢈⢀⡵⠁⠈⠂⠑⠁⠈⠈⠀⡁⠈⢈⣰⠟⠁⠊⠀⠁⠁⢨⣾⡗⡡⢪⡿⡀⣽⣉⠪⣵⡕⢯ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⢊⠂⣴⠇⠈⠊⠑⠑⠀⠊⠙⠙⠿⠶⡖⠑⣠⡾⠋⠑⠁⢮⣾⡟⠑⠊⠈⠐⠕⠈⢿⣼⡵⡄⠊⠂⠑⠁⠈⠂⠐⠅⠪⢻⡒⠑⠈⠪⠑⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣯⠊⠑⠑⠄⠂⠐⠑⠀⠂⠀⠑⠀⠊⢀⣴⠟⠀⠂⠐⠁⠈⠂⠐⠁⠀⢊⠴⠛⠁⠂⠀⠑⠀⠊⠠⣴⡗⠊⠲⣽⠕⢨⣿⠀⠐⢹⡆⠐ ⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⣋⢛⡕⡅⣿⡂⠐⠁⠊⠂⠐⠑⠀⢪⠐⠑⢬⣾⡛⠑⠉⠊⢂⡿⠍⠊⠂⠐⠅⠈⠂⠐⠛⠁⠀⠀⠑⠀⠊⠀⠐⠁⠊⠂⠐⢙⣯⠊⠗⠕⠊⣿⣿⣿⢿⢻⣿⣿⣿⣿⣿⣿⣗⠊⠂⠐⠑⠀⠂⠀⠑⠀⠪⠀⠑⠉⠉⠂⠐⠁⠀⠂⠐⠁⢈⣦⠞⠑⠀⠊⠀⠐⠀⠪⠀⠐⣼⡯⠚⠑⣽⣯⡊⣸⠗⠈⠊⠐⣷⠤ ⠀⠀⠀⠀⠀⠀⣰⣿⣫⢆⠕⠉⡪⠂⠙⠿⣭⠂⠀⠅⠈⠂⠐⠕⣍⣪⡾⠝⡥⠪⡂⠔⣿⠋⠂⠐⠅⠈⠊⠀⠅⠀⠂⠀⠅⠀⠊⠀⠑⠀⠨⠂⠐⠅⡨⠪⣽⡕⠊⠊⢑⡽⠯⠋⠛⣝⡿⣿⣿⣿⣿⣿⣿⣗⠄⠈⠂⠀⠁⠀⠪⠀⠕⠀⠪⠀⠑⠀⠂⠂⠐⣡⡤⠺⠉⠁⠀⠊⠀⠑⠀⠪⠀⠄⠁⢪⡯⢕⡁⣪⡿⠔⣍⣿⠈⠀⠅⠀⠺⣗ ⠀⠀⠀⠀⠀⣼⡿⢟⠕⠥⠪⠀⠔⠀⠪⠀⠙⠝⠲⠦⣄⣕⣤⠪⡐⣽⣥⠪⢐⠕⠥⣺⠏⠔⠄⠨⠢⠐⠑⠀⠂⠐⠔⠀⠢⠀⠔⠀⠢⠂⠐⠄⠠⠢⠔⠅⢺⡦⠔⠔⠠⠢⠀⠔⠀⠪⠒⠟⣿⣿⣿⣿⣿⣿⣦⡐⠄⠠⠂⠀⠔⠀⠪⠀⠔⠁⢢⡂⠐⠔⠊⠪⠀⠅⠠⠪⠐⠔⠠⠢⠀⠕⠄⠢⣐⣿⡕⡪⣢⣽⠗⠢⣾⠗⠔⠀⠢⠀⠔⢿ ⠀⠀⠀⢀⣾⣿⠝⠡⣪⠂⠕⠀⠪⠀⠐⠅⠪⡀⠐⠕⠊⢊⣙⣽⠿⣿⣇⢕⡤⣪⣒⣿⠅⠢⠊⢕⠅⠠⠊⠀⠅⠠⠂⠐⠔⠀⠢⠂⠔⠁⠨⠀⠐⠕⠪⡂⢘⣗⠀⠢⠀⠔⠀⠢⠀⠕⠀⠢⡚⣿⣿⣿⣿⣿⣿⣿⣢⠐⠐⠀⠊⠀⠕⠄⠪⠀⢘⢷⠂⠂⠁⠄⠀⠢⠐⠔⠠⠪⠀⠕⠀⠢⠀⢔⣿⣫⣞⣕⣾⡯⡊⢗⣟⠀⡪⣗⠐⠀⠂⢾ ⠀⠀⣠⣾⠟⠁⠢⠀⢔⠄⠪⠀⠔⠄⠨⠀⠐⠄⣠⣢⣵⠟⠡⣪⡁⢝⢿⡪⣛⢝⣭⡯⠀⠑⢄⡨⣷⡔⠔⠀⡂⢀⠔⠀⠢⠀⠔⠀⠠⠂⢐⠅⠨⡂⢄⠅⠨⢻⡀⠔⠀⠢⠀⠔⠀⠢⡀⠔⠄⡻⣿⣿⣿⣿⣿⣿⣷⣦⡊⠀⠔⠀⡢⠀⢔⠄⠠⣘⣗⠄⠀⡂⠐⢄⠠⠢⠀⢔⠠⠢⠀⠔⠨⣾⡿⠕⠅⣪⡿⢔⢅⣺⡫⠀⢴⡏⠠⠀⠄⠠ ⣠⢾⣿⠏⡠⠀⢔⠠⠢⠂⢐⠀⠢⣂⢐⣤⡶⡾⠛⠅⠀⣢⣔⢜⠄⡢⢸⣗⠮⠫⣿⣷⣄⣢⡀⢑⢼⣯⠂⠀⠄⠀⠢⠀⢔⠀⠢⠀⢴⠀⠠⠂⢐⠄⠠⡂⢰⣼⡄⠠⠀⠔⠠⠢⠀⠔⠀⡢⡀⠐⠜⣻⣿⣿⣿⣿⣿⣷⣄⠀⡢⠀⢔⠀⠢⠀⢐⠀⠺⣦⠀⠄⠠⠂⠐⢄⠠⠢⠀⢔⠀⠢⣼⣟⠁⡢⣲⣼⠅⠠⣲⣟⠄⠀⣺⠃⠔⠀⠂⢐ ⢤⣿⡏⠀⠄⠀⡂⠐⢀⢠⣦⡵⢖⠟⠫⡉⢐⢀⡀⣢⠞⢝⠀⡪⠐⢄⡿⡣⣛⢔⣿⣿⣿⣿⢄⠢⡃⢿⣜⠀⠂⢀⠐⠀⡂⠀⢄⠀⡯⠀⢐⠀⠀⡂⢐⠄⠀⡉⠁⠄⠀⠂⠐⢐⠀⠢⠀⢐⠀⡠⡂⢙⣿⣿⣿⣿⣿⣿⣿⣁⢄⠀⡠⠀⢐⠀⠂⠀⢀⢸⣦⡀⠐⢀⠀⠂⢀⢄⠀⠂⡀⣼⢟⡣⣋⢔⣼⡧⡀⢐⣿⡃⡂⢀⣿⠀⡀⠀⠄⠀ ⠋⣍⠀⠀⡠⢀⢄⠠⡣⢀⢄⠀⠠⡀⢘⢈⣠⡷⢞⢅⠠⡂⢈⢜⢠⡿⠁⢜⠍⠢⣿⢿⣿⡧⠈⢐⢌⣺⡧⠈⠅⠀⡠⠀⠔⠀⡠⠀⣗⠀⠠⡁⢀⠄⠀⡂⢀⢄⠀⡠⢀⠄⠠⠠⢀⢄⠄⡠⣀⢐⢌⠠⠈⢻⣿⣿⣿⣿⣿⣿⣧⠀⢄⠀⡠⠀⢘⠄⡠⠈⠘⢷⡦⡀⢈⢌⡁⡢⣈⢄⣰⡿⠁⢌⠅⣺⡏⢈⢅⣾⡇⢉⠄⢠⡧⠀⠄⠀⡠⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠤⣤⣤⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⢸⣄⠉⠁⠉⢉⡲⢤ ⠀⠀⠀⢀⡠⠴⠊⣭⠃⠀⣀⣀⡤⠴⢶⠤⠤⢤⣀⠀⢸⠸⠈⠣⡀⢠⠃⠀⠀ ⠀⢀⢔⡉⢀⣀⠐⠐⢧⣾⣴⣿⡿⠀⠀⡏⡄⠀⠀⢱⡧⢀⡠⠤⠬⣎⣧⠀⠀ ⠐⠋⠁⠀⠀⢸⠔⢢⣿⣿⣿⡿⠃⠀⢠⠃⠀⠠⢚⣉⣠⢯⠀⠀⠀⠈⠛⠀⠀ ⠀⠀⠀⠀⠀⠈⠀⣼⠙⠛⠉⠀⢀⣠⢊⠆⠀⠀⠈⣴⠃⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡌⢦⣀⣀⠬⡺⠕⠁⠀⠀⠀⢀⠟⠸⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⣀⠀⡦⢄⣠⣾⣿⣾⣦⠀⢀⠼⢱⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠳⡏⠉⠁⣀⠈⠻⣿⣿⠉⠀⠈⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡏⠁⠈⠙⣿⢟⡀⢀⠄⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⡤⠀⡤⠃⠫⡉⠙⠃⠁⠀⠈⠠⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⠐⡀⠀⠀⠀⠀⣨⠆⠀⣀⠤⠒⠀⠙⠣⠤⠐⠒⠒⠄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⠊⡉⠀⠀⡜⠄⠀⠘⣏⡄⠀⣀⡠⠤⠠⢄⠘⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⡔⣳⠒⠒⠚⣿⠀⠰⢎⠀⠈⠁⠀⠀⠀⠀⢠⠇⡼⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⢌⡘⢄⡀⠀⠘⠦⣀⣉⣉⣁⠒⣄⠀⠀⠀⣸⢼⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⡧⣸⠀⠀⠀⠀⢠⠔⠋⢀⡼⠀⠀⠀⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⠊⠁⠀⠀⠀⠀⠈⠙⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠠⠤⠠⠤⠴⠠⠠⠠⠤⠤⠀⠠⠲⠀⠆⠤⠦⠴⠰⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠄⠀⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⠖⠉⣀⣄⠠⠤⠤⠤⠤⢤⣄⠈⠲⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⣿⣧⠀⠺⣏⣈⠀⠀⠀⢀⢀⣀⡹⠏⠀⢙⠇⠀⠀ ⠀⠀⠀⠀⠀⡰⠣⠓⠂⣄⣀⣉⣁⡀⠀⣀⣀⣀⠠⠄⠒⠁⠀⠀⠀ ⠀⠀⠀⠀⠜⠡⠁⠀⠀⣟⡀⠀⠀⠀⠀⠀⠀⣀⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠌⡰⠁⠀⠀⠀⣿⠅⠛⠋⠉⠙⠛⠛⠻⡇⠀⠀⠀⠀⠀⠀ ⠀⢀⠌⡰⠁⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⡷⡒⠒⠺⠚⠡⡀ ⢀⡎⡐⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⡁⠑⠛⠒⠒⠀⠁ ⢾⠔⠀⠀⠀⠀⠀⣤⡄⠈⣁⡒⢒⣤⠴⠒⠒⣩⠖⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠻⠃⠈⣕⠆⠐⢈⠎⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡀⣀⣀⢀⣀⡀⢀⠀⣀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢶⡆⠀⠀⣴⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⣿⣦⣤⣭⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⠏⠀⢹⣻⣭⣭⡧⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠏⠀⠴⠚⣷⣿⣿⠀⠀⢀⡤⠖⠛⠹⠶⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡏⠀⠀⠀⡼⠉⠉⠁⢀⡴⠋⠀⠀⠤⢄⡀⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⠀⠀⠀⢧⡀⠀⢠⠎⠀⢠⣤⡞⠒⠲⡌⠃⠀⠀⠀⠱⢤⡀⠀⢀⣀⣀⣀⠀⠀ ⠀⣧⠀⠀⠀⠀⠙⠲⠏⠀⢀⡀⠙⣇⠀⠀⢘⡶⠆⣤⠤⠔⢲⣯⡖⠉⠀⠀⠈⢧⠀ ⠀⢺⣦⡀⠀⠂⠀⠀⠀⠀⠀⢠⣄⠼⣗⠒⠋⠀⠀⠹⣄⣠⣿⡋⡀⢠⣤⡆⠀⢸⠀ ⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⠦⣠⠴⣄⢀⣠⣄⣸⠇⠀⣳⣿⣧⠈⢹⠁ ⠀⠀⠀⠘⠶⡆⠀⠆⢶⣴⠀⢾⠀⠀⠀⠀⠀⠀⠈⠉⡼⡭⣭⡴⠖⠼⠛⣿⣿⠏⠀ ⠀⠀⠀⠀⠀⢻⠀⠀⠀⠁⠀⠘⡄⠀⣠⢤⣀⡤⡄⢸⣿⣿⠋⠀⠀⠀⠀⠙⠁⠀⠀ ⠀⠀⠀⠀⠀⣏⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠘⠛⢱⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⠁⠀⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠃⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⣷⣄⢠⡀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⠃⠀⡄⠀⠀⠺⠾⠃⠀⠀⠀⠀⠾⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⣀⡴⠋⠀⠛⠁⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⢀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠁⠀⠀⠀⠀⣤⡄⠀⠀⠀⡴⠛⠲⡄⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⠀⠀⠀⣀⠀⠘⠀⠀⣠⠞⠁⠀⠀⢣⠀⠀⠀⠀⠠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠒⠒⠶⠁⠉⠉⠉⠉⠁⠀⠀⠀⠀⡞⠀⠀⠰⠇⠐⠛⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣼⠁⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠷⠤⠤⠤⠤⠿⠉⠁⠀⠀⠀⠀⠀⠀⠀
꒒ ০ ⌵ ୧ ♡
⠀⠀⠀⠀⠀⢀⣤⣔⠲⢤⡖⢶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⣴⠢⣄⡀⠀ ⠀⢀⣤⣤⠤⣜⡿⠭⡤⠈⢳⣤⣀⡈⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡤⢶⣿⡀⣠⣿⣴⣻⡇⠀ ⠀⠘⠓⠓⢶⠈⢹⢀⡟⠀⣼⣡⠏⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⣇⣻⣾⢻⠁⣨⣿⣭⣀⠀ ⠀⠀⠀⢠⡿⠒⠋⠉⣉⣛⡻⠄⢀⡴⠋⠀⠀⠀⢀⣠⡶⠟⠉⠉⠉⠉⠛⠷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣀⣨⣇⣀⣸⣟⢁⣴⣻⣼⣷ ⠀⢀⡶⠋⠐⠒⠒⠒⣏⠨⠭⠗⢯⡀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠻⠽⢩⡏⠀⠀⠉⢹⡟⠛⠋⠁ ⠀⣼⣄⠀⠀⣰⠖⠑⠺⣗⠲⠆⢠⠇⠀⠀⢠⡏⠀⠀⠀⠀⣴⣻⣷⡆⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⢸⠁⠐⢶⣶⠯⠿⣕⠚⠁⠈⠻⡆⠀⠀ ⢰⡟⡏⠒⠲⣄⠀⠀⠀⠈⢂⣠⠟⠀⠀⢀⣼⡇⠀⠀⠀⠀⠻⣿⡿⠃⠀⠀⠀⠀⠀⡏⠓⢦⣄⠀⠀⠀⠸⣆⠀⠈⠁⠀⠀⠼⠀⡀⠀⣠⣇⠀⠀ ⢸⡿⣷⠀⠀⠈⠓⠲⣶⠞⠉⠁⠀⢀⣴⠟⠉⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠇⠀⠀⠈⢳⡀⠀⠀⠙⠷⣄⣀⣀⣀⡠⠞⠉⠉⣿⣼⠀⠀ ⣿⣇⠈⠃⠀⠀⠀⢰⣇⣄⠀⠀⠀⡜⠁⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠃⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⣹⠉⠉⠀⠀⠀⢸⠟⡝⠀⠀ ⡏⠛⠀⠀⠀⠀⠀⢸⣿⣗⠀⠀⣼⡥⠖⠒⠀⠀⠀⠈⠙⠻⠶⠶⠶⠶⠾⢛⠁⠀⠀⠀⠀⡀⠈⠉⠲⣇⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⣰⣳⡄⠀ ⢹⡄⠀⠀⠀⠀⠀⠀⠙⢿⣇⢰⠏⠀⢠⣶⢶⣦⣄⡀⠀⠀⠉⠒⠒⠒⠋⠁⠀⠀⣀⣴⣿⣿⣿⣦⠀⠘⡇⢀⣿⠟⠁⠀⠀⠀⠀⠀⠰⠋⢸⡇⠀ ⠸⣷⠀⠀⠀⠀⠀⠀⠀⠘⠻⣾⠀⠀⢸⣿⣿⣧⣈⣿⣷⣤⣀⠀⠀⠀⠀⣀⣠⣾⣯⣼⣿⠛⣿⠏⠀⠀⢸⡟⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀ ⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠈⠻⣿⡿⢿⣿⣿⠀⠉⢻⣿⣿⣿⣿⣿⠛⠻⣿⣿⠟⠋⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠀ ⠀⠀⠈⣷⡄⠀⠀⠀⠀⠀⠀⠸⣧⡄⠀⠀⠈⠙⠶⠼⣿⣿⣶⣿⣿⣿⣿⣀⣿⠶⠖⠋⠁⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⡴⡿⠃⠀⠀⠀ ⠀⠀⠀⠈⢿⡳⠀⠀⠀⠀⠀⠀⠹⣽⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⢦⠀⠀⠀⠀⠀⠀⠙⢯⠷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⣟⡼⠋⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠷⣄⠀⠀⠀⠀⠀⠀⠀⠁⠘⠳⣤⢢⣄⠀⠀⠀⠀⠀⠀⣀⡀⢀⡴⠋⣰⠟⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⡀⠀⠀⠀⠀⠉⠻⠿⠲⢬⣆⣠⣞⣿⡵⢫⠖⠁⠀⠀⠀⠀⠀⡾⠁⠀⠀⣸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⢹⡀⡀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠘⠈⡴⠃⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠻⡿⣄⡀⣦⡀⠀⠀⠀⠀⠀⠀⠚⠁⠀⣀⡀⢀⣠⣾⡟⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣧⠤⠄⠀⠹⠌⠓⣿⠙⠷⣄⠀⠀⠀⡄⠀⣠⡴⣿⡵⠟⠹⠋⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠱⣄⣼⣿⠞⠋⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⣠⡀⠀⠀⠀⡟⠳⠤⣄⣀⣀⠀⠀⠀⢀⣀⣀⣠⠤⠴⠚⡄⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠹⡷⣄⠀⠀⣷⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⣀⡇⠀⠀⢀⣴⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⢞⣁⣀⣀⣀⣈⣓⣤⣀⠙⣆⡀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣿⠁⣠⠴⢯⣽⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡟⡏⠁⠀⣀⣀⡽⠿⢿⣿⣷⢯⡩⠗⢻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢿⣟⠋⢹⣁⣀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢧⢷⡖⠿⠟⢛⣏⠙⠲⡌⢻⣷⣷⢤⣀⠚⣧⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⢻⡘⣆⣨⠵⠚⠛⠛⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠛⢿⣆⡘⢉⣈⡉⠉⠙⠉⣁⣬⠟⡺⢵⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠳⣼⣉⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠒⠛⠿⢾⣵⣞⠁⠀⠒⣹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⣀⠉⠉⠙⠛⢛⣛⡫⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣀⠀⠀⠀⠰⠶⣾⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⢉⣠⠴⠂⠀⠀⠋⠙⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣀⣀⠀⠀⣀⡤⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⡄⠀⠀⠀⠀⠀⠀⠹⣿⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⣿⣏⠀⠐⣏⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣴⣶⠶⠶⠿⠿⠿⠶⢶⣄⡀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⢀⡈⠛⠲⢦⣤⣤⣶⣾⣛⣛⣉⣉⣁⣀⣀⣀⣀⣀⣀⣤⣤⡾⣿⠋⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠿⠂⣶⢿⠋⠁⠀⠉⣉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢁⠀⠀⢤⣽⣷⠖⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢶⣤⣀⣀⣀⣻⣡⣤⣴⣶⣒⣒⣛⣛⣻⡿⠀⠀⠰⠟⠙⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⡟⢋⠉⠙⣛⣟⠛⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣙⣳⣶⠿⠭⢭⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠦⠤⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡰⠋⠀⢦⠀⢄⣀⣄⡈⠑⠒⢦⣄⣤⣶⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡠⠎⠀⠀⠀⠈⢗⡶⠌⠱⠬⣽⣿⣿⠛⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣠⣤⣄⣠⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⡤⠴⠚⢿⡷⠚⠁⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⠶⠶⠾⢿⣿⠿⠷⠶⢶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠟⠋⠁⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠉⠙⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠟⠁⠙⣆⠀⣀⣤⡤⠴⠶⣾⣿⡷⠶⠦⣤⣄⣀⠀⣴⠃⠉⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⢀⣤⠟⠋⠁⠀⠀⠀⣴⣿⢿⣿⣆⠀⠀⠀⠉⠙⠷⣄⡀⠀⠀⠙⣷⡀⠀⠀⠀⠀⠀⠀ ⣀⠀⠀⠀⠀⣰⠟⠁⠀⢀⡴⠋⠀⠀⠀⠀⠀⢀⣾⡿⠃⠀⠹⣿⣧⡀⠀⠀⠀⠀⠈⠛⣦⡀⠀⠈⢻⣆⠀⠀⠀⠀⣀ ⠉⠳⢦⣄⣼⠏⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⣠⣿⡿⠁⠀⠀⠀⠘⣿⣷⡄⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⢻⣆⣠⡶⠛⠁ ⠀⠀⠀⣹⡟⠛⠷⣶⣧⣀⠀⠀⠀⠀⠀⣰⣿⡿⠁⠀⠀⠀⠀⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⣀⣽⡶⠾⠛⢻⡇⠀⠀⠀ ⠀⠀⢀⣿⡀⠀⢠⡏⠉⠻⢷⣦⣀⠀⣰⣿⣿⠁⢀⣠⣴⣶⣤⣄⠀⠸⣿⣿⡄⢀⣠⣴⡿⠛⠉⢷⠀⠀⢘⣿⠀⠀⠀ ⠀⠀⢸⡏⠉⠉⢻⠁⠀⠀⠀⢙⣿⣿⣿⣿⡇⣰⡿⠉⣀⣤⡈⠙⢷⡄⢹⣿⣿⡿⣿⠁⠀⠀⠀⢸⡟⠉⠉⣿⠀⠀⠀ ⠀⠀⢸⡇⠀⠀⢸⠀⠀⠀⠀⢾⡃⣿⣿⣿⠀⣿⠀⢸⣿⣿⣿⡆⠈⣿⢘⣿⣿⣷⢸⡇⠀⠀⠀⢸⡇⠀⠀⣿⡇⠀⠀ ⠀⠀⢸⡇⠀⢀⣸⡀⠀⠀⠀⢘⣷⣿⣿⣿⡆⢻⣦⡈⠛⠿⠋⢀⣾⠇⢸⣿⣿⣷⣾⠁⠀⠀⠀⢸⣇⠀⠀⣿⠀⠀⠀ ⠀⠀⠘⣿⠋⠉⠙⡇⠀⣠⣴⡿⠛⠉⢻⣿⣷⠀⠙⠻⢷⣶⠾⠟⠁⢠⣿⣿⠏⠉⠻⢷⣦⣀⠀⣼⠉⠉⢙⣿⠀⠀⠀ ⠀⠀⠀⢻⣇⣠⣤⣿⡿⠛⠁⠀⠀⠀⠀⢻⣿⣷⠀⠀⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠉⠛⢿⣧⣤⣀⣼⡇⠀⠀⠀ ⠀⣀⡴⠟⢿⡏⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠹⣿⣧⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀⠀⠀⠀⣠⠏⠀⠈⣹⡟⠻⢦⣄⠀ ⠋⠁⠀⠀⠈⢻⣆⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠙⣿⣧⡀⠀⢠⣾⡿⠃⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⣴⠟⠀⠀⠀⠉⠛ ⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⠙⠶⣄⡀⠀⠀⠀⠘⢿⣿⣴⣿⠟⠁⠀⠀⠀⣀⣤⠞⠉⠀⠀⣠⣾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣄⠀⢀⡟⠉⠛⠶⠦⢤⣤⣿⣿⣯⣤⡤⠶⠖⠛⠉⢷⡀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣿⣄⡀⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⢀⣠⣷⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣶⣶⣤⣤⣼⣿⣦⣤⣤⣶⡶⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⣿⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡗⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⡤⠤⠶⠿⣶⣦⣄⣙⣦⠙⢿⡓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⣄⠀⠀⠀⠭⣉⠓⠒⠚⠽⡄⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣋⡿⠀⠀⠀⣀⡽⠀⠀⠀⠘⢈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣷⡆⢠⠖⠚⣇⠀⣙⡶⠄⠈⠰⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠐⣧⣾⡄⣄⠘⣆⡈⠷⠄⣤⣶⠈⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠛⣦⣘⢿⣇⣿⣿⠉⠹⣗⠦⣈⠘⣾⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢱⡾⠛⣏⠿⠧⡀⠈⠳⣄⡙⠊⠉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡤⣤⡴⠉⠀⠀⠈⢳⡀⠑⠦⡀⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣬⠷⢮⣙⣒⣤⡤⠀⠀⢹⡄⡄⢱⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠳⣄⠀⠀⠀⠀⠠⣌⣩⠿⠀⠒⣼⡇⠇⠈⠳⡄⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣹⣤⣖⣸⣍⣿⠽⠤⠒⠚⠋⠀⠀⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠾⠛⠋⠉⠉⠀⠀⠀⠀⣠⡤⠂⠀⠀⢠⡀⢰⠋⠀⢠⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⠤⣶⡾⠅⠀⠀⠀⠀⠀⠀⠀⠀⠸⡏⢺⠀⠀⠀⢈⣇⠜⠃⠀⣾⡈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⠇⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⠋⠈⠀⠀⢠⠞⠋⠀⢀⡾⠁⠉⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⣏⡼⠁⠀⠀⠀⢀⡤⠤⠔⠊⢉⣡⠼⠓⠀⠀⢀⣴⣋⣀⡠⠶⠻⣄⡀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⡿⠁⢠⠔⠒⠚⢋⡤⠖⠊⢩⡟⠀⠀⢀⣠⠞⠋⠉⠁⠀⠀⠀⠀⠀⠉⢹⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢼⢻⠇⡤⠇⠀⢀⣴⠋⠀⠀⠀⣼⣠⠴⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⣿⡰⠂⠀⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡇⠀⠀⣏⢻⡀⢀⣠⠴⠛⠉⠓⠢⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢿⣄⡀⠘⢆⡙⠋⠀⢀⡠⠔⠦⠐⠒⣚⠙⣲⡦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢧⡀⠀⠈⠉⠉⠁⣀⠀⣀⡴⠚⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⣶⣤⡀⠉⠘⠛⠻⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠳⡌⠁⠒⢄⠀⠈⠑⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠤⣄⣁⣀⣀⣀⣛⣲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠟⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠳⢶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⢾⣦⣄⣀⡀⣀⣠⣤⡶⠟⠀⠀⠀⠀⠀⠀⠈⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣴⡿⠃⠀⣶⠶⠶⠶⠶⣶⣬⣉⠉⠉⠉⢉⣡⣴⡶⠞⠛⠛⠷⢶⡆⠀⠀⠈⢿⠶⠖⠚⠛⠷⠶⢶⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⣴⡾⠛⠋⠉⡉⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⡀⠉⠙⠛⠛⠛⠛⠉⠀⠀⢀⣤⣭⣤⣀⠀⠀⠀⠀⠈⠀⠀⢀⣴⣶⣶⣦⣤⣌⡉⠛⢷⣦⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣶⠟⠋⣀⣤⣶⠾⠿⣶⡀⠀⠀⠀⣴⡟⢋⣿⣤⡉⠻⣦⠀⠀⠀⠀⠀⠀⢀⣾⠟⢩⣿⣉⠛⣷⣄⠀⠀⠀⠀⢰⡿⠑⠀⠀⠀⠈⠉⠛⠻⣦⣌⠙⢿⣦⠀⠀⠀⠀ ⠀⣴⡟⠁⣰⡾⠛⠉⠀⠀⠀⢻⣇⡀⠀⢸⣿⠀⣿⠋⠉⣿⠀⢻⡆⠀⠀⠀⠀⠀⣾⡇⢰⡟⠉⢻⣧⠘⣿⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡇⠀⠙⢷⣆⠀⠀ ⢰⡟⠀⢼⡏⠀⠀⠀⠀⠀⠀⠈⠛⠛⠀⠈⢿⣆⠙⠷⠾⠛⣠⣿⠁⠀⠀⠀⠀⠀⠹⣧⡈⠿⣶⠾⠋⣼⡟⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠶⠶⣶⣤⣌⡻⣧⡀ ⢸⣧⣯⣬⣥⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠿⢶⡶⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠙⠻⢶⣶⣶⠿⠋⠀⠀⠀⠰⣼⡏⠀⠀⠀⠀⠀⠀⢠⣾⠏⠀⠀⠀⠀⠈⠉⠛⠛⠃ ⠀⠀⠀⠈⠉⠉⠉⠛⠿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⣲⣖⣠⣶⣶⣶⠀⠀⠀⠀⣀⣤⣤⡂⡀⠀⠀⠀⠀⠀⠀⠀⢸⠟⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⢠⣾⠋⠁⢿⣇⠀⠀⠀⠀⠀⠀⢙⠉⣹⡇⠻⠷⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣤⣀⡀⠘⠟⠃⠀⠈⢙⣷⡄⠀⠀⠀⣠⣶⠿⠋⠁⠀⠀⠀⠙⣿⠀⠀⢠⣤⣤⣶⠶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⡄⠀⠀⠀⠀⠀⢸⣿⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⣠⡿⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⠀⠀⠀⢻⣧⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠉⠁⣴⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⢿⣦⡀⠀⠉⠉⠀⠀⠀⠀⠀⣀⣄⠀⠀⢠⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⡀⠙⠻⢷⣦⣄⣀⣤⣤⣶⠾⠛⠁⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⡀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⠷⠶⠶⠾⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣦⠤⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣶⠿⠿⠿⠿⠿⠿⠿⠿⢿⣷⣶⣶⣤⣄⣀⠀⠀⠉⠹⠀⠀⠀⠀⢸⣄⣀⠄⠀⠀⠀⠀⢹⣄⠀⣀ ⠀⠀⠀⠀⠀⠀⣠⣴⣾⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⢿⣶⣄⡀⠀⠀⠀⠊⠙⢿⠀⠀⠀⠀⠠⠶⠿⣿⠋⠁ ⠀⠀⠀⣀⣴⡿⠟⠉⠀⠀⠀⠀⢀⣀⣤⡤⠶⠶⠚⠛⠛⠛⠛⢛⠛⠳⠶⣤⠀⠀⠀⠈⠻⣷⡄⠀⠀⠀⠀⠈⠃⠀⠀⡀⠀⠀⠀⠘⠇⠀ ⠀⢀⣾⡿⠋⠀⠀⠀⠀⣠⡴⠞⠋⠉⢀⣠⡤⠶⢒⣛⣩⠭⠭⠽⠿⣿⣿⡿⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⢀⣾⣿⡇⠀⠀⠀⠀⠀ ⢠⣿⠋⡄⢀⠀⠀⣴⠟⠁⠀⣀⠴⢚⣩⠴⠒⠉⠉⢀⣠⣤⠶⠚⠛⠉⠁⠀⠀⠀⠀⠀⠀⣸⣿⠁⠀⠀⠀⠀⢠⣾⣿⡟⠁⠀⠀⠀⠀⠀ ⣿⡏⢰⠃⣯⡇⣼⠇⠀⢀⡞⢡⠴⠋⠀⠀⣀⣤⠾⠛⠁⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⣾⠿⠋⠀⠀⠀⠀⢠⡟⢻⡟⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠘⣇⢿⡷⠘⢷⣄⡞⣰⠃⢀⣠⡴⠟⠉⠀⠀⠀⠀⠀⠀⣠⣴⣾⡿⠟⣿⡏⠉⠀⠀⠀⠀⠀⠀⠀⣠⡟⣰⡟⠀⡀⠀⠀⠀⠀⠀⠀ ⠸⣿⡄⠈⠀⠀⠀⠀⠉⠙⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⠟⠋⠀⡰⢻⣇⠀⠀⠀⠀⠀⠀⠀⣰⠏⣰⠏⠀⠀⣧⣀⡀⠀⠀⠀⠀ ⠀⠙⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⠿⠟⠋⠀⢀⡤⠞⣠⠟⣿⡀⠀⠀⠀⠀⠀⣰⠏⣰⠏⠀⠐⠚⠻⡏⠀⠀⠀⠀⠀ ⠀⠀⠈⠙⠿⣷⣦⣤⣄⣀⣀⣀⣀⣤⣤⣶⡿⠟⠉⠀⣀⣠⠴⠚⣉⡤⠚⣡⠀⢹⣇⠀⠀⠀⠀⣴⠋⣼⠏⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠛⣿⡿⠿⠿⠿⠭⠥⠖⠒⠒⢉⣡⡤⠴⠚⢁⡤⠞⣡⠖⠀⢿⡆⠀⠀⣼⠃⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡏⠉⠉⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠈⠖⢋⣡⠞⡁⠘⢿⣄⡼⢃⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣋⡠⠞⢁⠄⢘⡿⢁⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡤⠖⣁⢶⡾⢁⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠚⢡⡾⢡⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡟⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡶⣿⡟⣠⠟⠀⠀⠰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠻⠶⠶⠶⠶⠶⠶⠞⠛⠛⠉⠁⣰⣏⣰⠟⠀⠀⠠⠴⢿⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠏⠀⠀⠀⠀⠀⠈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡈⢋⠦⡄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠑⣄⡈⠉⠝⡓⠋⠎⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⣷⡅⢠⠶⡁⣠⡈⠊⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠰⢧⡰⣷⢦⡵⣜⡂⠶⣸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⠟⢞⠧⡈⠢⣕⠋⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣻⣐⡥⣀⠀⢱⢈⢢⠀⠳⡀⠀⠀ ⠀⠀⠀⠀⠈⠑⢤⢀⢠⢦⣝⣁⠰⠜⠈⢢⠀⡇⠀⠀ ⠀⠀⠀⠀⣀⠔⠛⠉⠉⠉⢀⢤⠀⠀⡀⡞⠀⣇⠀⠀ ⠀⠠⡆⡝⠉⠀⠀⠀⠀⠀⡸⠐⠀⣠⠗⢁⡜⠂⠱⡀ ⠀⢸⠎⠀⡀⠠⢒⡈⡤⠚⠁⣠⠴⠥⠐⠋⠢⢀⠀⡇ ⢰⡹⠴⠁⣠⠊⠀⠠⠡⠐⠊⠀⠀⠀⠀⠀⠀⠘⣄⡇ ⠀⣷⠁⢰⢏⢀⡠⠄⠤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀ ⠀⠘⢦⠈⠊⠥⠤⠐⠒⡀⠬⠕⠂⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠑⢦⢀⠒⠓⢎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠣⢄⣑⣀⣈⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣶⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⣤⣾⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣶⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⢻⡿⠛⠒⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠰⣤⣤⠇⠀⠀⢀⠀⡀⠀⠀⠈⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⢿⡟⠳⠆⠀⠼⢿⠧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠘⠇⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣦⣤⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⢀⣿⠀⠀⢀⡀⠀⢀⠀⠀⠀⠀⠀⠒⠻⡟⠓ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡋⢀⣠⠞⠁⠀⠀⠀⣿⣶⡏⠀⠀⠀⠀⠀⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠏⠁⠀⠀⠀⠐⠛⠻⣿⠛⠓⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⣿⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡴⢿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡴⠋⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠷⠤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠤⠲⣖⠒⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠁⠀⠀⠀⠀⢻⣷⣦⣀⣀⣬⣽⣷⣶⣶⣶⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⣴⠟⠁⠀⢠⠀⠀⡆⠀⠀⢀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⡇⠀⠀⠀⣼⠀⢢⠸⡄⠀⠘⢆⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀ ⠀⣀⣠⣾⣿⣿⡀⠀⢰⠇⡇⠘⡄⢹⣄⠀⠈⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⣾⣿⣿⣿⣿⣿⣧⡀⢸⠀⢹⡀⢻⡄⢻⡳⣄⠀⢹⣾⡉⠉⢯⡙⠛⠛⠻⡿⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⠿⡇⡎⠀⠀⣳⠞⣟⢦⠻⡛⠛⢧⣘⣿⡦⣄⡱⣄⠀⠀⠹⡄⠀⠀⠀⠀ ⠻⢿⣿⣿⣿⠁⢸⣧⠏⠉⣉⣩⣧⡘⡄⢷⠟⣿⠉⣿⣿⣿⣆⠉⡟⠓⠀⠀⠹⡄⠀⠀⠀ ⠀⠀⠉⠋⠸⡀⠈⣿⡿⣿⢹⣿⣿⠳⣽⡈⢧⡙⢠⣿⣿⡟⡇⠀⣇⠈⡇⠀⢦⡹⡄⠀⠀ ⠀⠀⠀⢰⠀⢷⠀⣿⢷⣉⣸⣿⠃⠀⠈⠻⡄⠙⠛⠛⣉⡇⡇⠀⢹⠀⠸⡄⠸⡍⠻⠦⠀ ⠀⠀⠀⢸⢠⠈⢇⢻⡆⠉⣉⡀⠀⠀⠀⠀⠀⠀⢀⣈⠛⣷⡇⠀⢸⣧⡀⠹⣷⢽⣦⡀⠀ ⠀⠀⠀⡸⣼⠀⣾⣿⣿⡀⠛⠃⠀⠀⠀⣀⣤⡶⠿⢿⠀⣿⢷⠀⢸⡜⡿⠷⡾⠗⠀⠀⠀ ⠀⠀⢀⡿⢃⣠⣿⡏⢿⣷⣄⡀⠀⠀⠻⢿⣿⡤⠶⠋⢀⣿⣾⠀⢸⣿⡟⠂⠀⠀⠀⠀⠀ ⠀⠀⠾⠁⢈⡿⢻⢹⡸⣷⣸⢿⣷⣶⣤⣤⣄⣀⣠⣴⡿⠋⢻⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠁⠺⠋⢧⠹⣯⠀⠻⠃⠙⠏⢹⡟⠛⠋⠀⠀⠈⠇⢸⡤⠖⠊⠉⠉⡽⠳⡄ ⠀⠀⠀⠀⠀⠀⣴⡖⠚⢧⣿⡏⠉⠉⢿⣿⣯⣁⠀⠀⠀⠀⢀⣼⢸⠁⠀⠀⠀⡴⠀⠀⢳ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⠈⢻⡄⠀⠀⠀⠈⠙⠻⠿⠷⠶⠾⠿⠛⠋⠀⠀⠀⡜⠁⠀⠀⠼
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⠴⠂⠉⠀⠘⣦⣈⣉⣶⣤⣤⣄⠀⠀⠀⠀ ⠀⠀⢀⣷⠁⠀⡆⡜⡀⠀⢻⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⢀⣤⣼⣿⠀⠸⢃⢠⠰⡄⠹⡿⣿⣿⣿⣿⣿⠇⠀⠀⠀ ⣸⣿⣿⣿⡇⡄⠈⣄⢷⡹⠦⣚⢦⢌⠢⡈⠹⡀⠀⠀⠀ ⠘⠻⡿⠋⢿⣏⣩⣽⣌⠜⢺⢹⣿⣿⠈⡓⠀⠱⡀⠀⠀ ⠀⠀⢠⠐⢸⢯⢻⡿⠀⠓⠑⠚⣛⣿⠀⠃⢄⢹⠳⠄⠀ ⠀⠀⢸⡀⣼⣇⢠⠄⠀⠀⢀⣤⡍⣿⠀⢛⣌⣳⡓⠀⠀ ⠀⠀⡼⢁⣯⣽⢦⡀⠀⠺⠯⠔⢁⣧⡆⠸⠒⠁⠀⠀⠀ ⠀⠀⠁⠜⠹⠞⣿⠹⡟⠶⢶⠾⠛⠁⠇⢀⠠⠤⢀⢄⠀ ⠀⠀⠀⠀⡖⠚⣼⠍⠉⠶⣭⣀⡀⣀⣼⡈⠀⢠⠂⠈⠀ ⠀⠀⠀⠀⠁⠀⠈⠁⠀⠀⠀⠉⠉⠉⠀⠀⠀⠁⠀⠈⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⣋⠉⠉⠙⠷⠯⠉⠻⠏⠉⠓⠒⠲⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⡀⢻⠟⠙⠻⣶⡋⠉⠉⠲⡄⠀⠀⠀⠀⠀⠈⠉⠓⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡟⣷⣟⠀⠀⠦⠈⠛⠦⠤⠴⠃⠀⠀⣴⠛⠉⠉⠓⢦⡀⣴⣮⣿⠶⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⠛⢯⣿⡋⠉⠓⢦⡀⠀⠀⠀⠀⠀⠘⠷⣄⣀⣀⣠⠷⠬⠙⠋⠀⢈⡙⢦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣻⣿⡗⣦⣤⣤⣷⣄⡐⠂⠀⠐⢿⡶⣀⣭⣍⡁⠀⠀⢰⡞⠑⢦⣥⣤⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣿⣿⣿⣿⢿⣯⣿⡜⠻⡀⠈⠙⠛⠶⢶⣦⣄⣀⣉⣉⠁⢀⡀⢤⣭⠙⢿⣆⣀⣼⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠋⣀⡌⣿⣿⣿⣷⣶⠁⠉⢁⡴⢦⡀⢀⠐⠀⣴⠋⠹⣏⠙⠛⢛⣛⡻⣾⠳⣾⣟⣹⣿⠟⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⣻⣧⡸⣿⣿⣿⣏⠀⠀⠸⣧⣼⠇⣘⣧⠀⠸⠦⠴⠏⠀⠸⣁⢀⣽⣼⣿⣿⢿⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡁⠳⣕⠟⢽⡮⣻⣿⡻⢷⣶⣦⠟⢿⣿⠿⠒⠲⣥⣴⣤⢰⣶⡴⠿⣽⣿⣿⣛⣷⣤⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⣤⣠⣤⣼⡟⠛⠈⢷⣌⣪⣃⠀⠀⠈⠁⠉⠛⠿⣿⣦⣾⢿⡀⠀⠀⢈⣿⣯⣽⣏⠀⠀⣸⡿⣿⣟⣿⣯⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣴⠿⠛⣹⢯⠟⠁⣠⢟⡵⢁⣼⣧⠈⣶⠟⣿⢻⣾⡓⢄⠀⠀⠀⠀⠀⠀⣈⣙⣓⣿⣷⣶⣋⣿⡿⣿⣿⣿⣿⣿⣿⣏⡿⠋⠀⢳⡄⠀⠀⠀ ⠀⠀⣰⠿⣇⢀⣰⣣⠏⣠⣾⣥⣿⣾⢟⣟⢹⢿⣯⠀⢀⣾⣧⠿⠶⢤⣀⠀⠀⠀⠈⠳⣀⡀⠀⠀⠉⠳⣌⠉⠉⣙⡿⠿⠻⠯⣄⠀⢀⣠⢺⡇⠀⠀⠀ ⠀⠀⡇⠀⢸⣩⠟⠛⢛⣡⣾⣿⢸⡇⡜⣽⣀⡼⢿⣿⣟⣁⠀⠀⢰⡶⠚⠛⠓⢦⣄⣀⡈⠙⠓⠲⠤⠴⠚⠀⠀⠻⠦⠤⠤⣴⣛⡰⣝⣣⣾⠃⠀⠀⠀ ⠀⠀⠻⠶⠟⠁⢀⡴⠛⢹⣿⣿⢸⣷⡿⣻⡽⠚⠉⠁⠀⠙⠺⣟⡉⠛⠛⣳⠖⠉⢉⡭⠛⠛⢻⣿⣵⣶⣶⣀⣀⣀⣤⣤⡬⣟⣻⣾⢿⣿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡶⢻⠁⠀⢨⣿⣿⣿⡽⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢥⣤⡖⣉⡉⣉⣽⡿⠥⢀⣶⠟⠙⠑⣸⡋⢉⣭⡟⠃⠋⣹⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⡏⠙⢿⣆⣤⣿⣿⡷⠋⢀⣠⠶⠶⡴⠒⢲⣶⢒⣤⣤⣤⣤⣤⣤⣀⣉⡙⠛⠷⠦⢤⣤⣞⣥⣶⣶⣟⠱⢶⣲⣟⣲⡶⠟⠙⣷⡀⠀⠀⠀⠀ ⠀⠀⠀⣼⡄⠀⣸⠟⡽⣿⣯⢴⣏⣉⣷⣤⣤⣿⣶⠿⠛⠛⠻⣿⣿⣋⣙⣿⣿⣿⣿⣿⣿⣶⣦⢤⡴⢤⣀⣉⡉⠛⠋⠙⢯⠳⡄⠀⠀⠘⣿⡄⠀⠀⠀ ⠀⠀⣸⡟⠙⠛⢋⣼⣽⠗⠣⣤⡛⣻⣿⣿⠿⣿⢿⣶⣤⣤⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣾⠉⠙⣿⠛⢲⣤⣤⣷⡹⡄⠀⠠⡘⣿⡄⠀⠀ ⠀⢰⣿⠁⠀⠀⡼⣽⣿⣦⣴⣯⣿⠋⠙⠻⣧⡻⣷⣝⣿⣿⣿⣿⣿⣿⣯⣟⠉⣹⣿⣿⣟⣿⣿⣿⣿⣿⣷⣾⣿⣤⣾⣿⣿⣿⣷⡹⡄⢠⢣⡘⣷⡀⠀ ⠀⣿⡇⠀⠀⣸⢳⣿⣿⡿⠛⠿⣿⣦⣤⣤⣿⣿⢿⣿⣿⣿⠿⠟⠛⠻⢿⣿⣽⣳⣿⣿⣿⣾⣿⣿⣿⣿⠿⢃⣼⣯⣿⣿⣿⣿⢹⣷⢷⡀⣏⣇⢻⣇⠀ ⢰⡿⠀⠀⢀⣇⣿⣿⣿⡀⠀⠀⣽⣿⣇⣀⣿⣹⣾⣋⢙⣧⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⠿⣷⣶⣷⣿⡿⠛⠙⢻⣻⣏⠿⣿⣿⡞⣇⣾⣸⠸⣿⠀ ⣼⡇⠀⠀⢸⢸⣿⢿⣿⣿⣶⣾⣿⣄⣽⣿⣿⣿⣯⣹⣿⣿⢾⣦⣀⣀⣰⣿⠀⠀⣻⠻⣿⠁⠀⠀⣿⣯⣭⣧⣀⣠⣼⣿⣿⣿⣿⣿⣇⢹⠋⡏⡆⣿⡄ ⣿⡇⠀⠀⢸⢸⣿⣀⣿⣿⣿⡿⢿⣿⣿⣿⢿⣟⠛⢻⣿⣇⠀⠈⢹⡉⠈⣿⣳⣾⠿⠾⢷⣷⣦⣾⣁⣹⣿⣿⣿⣿⣿⣿⡟⣿⣿⢿⣿⢸⠀⠘⡇⢸⡇ ⣿⡇⠀⠀⢸⢸⣿⣿⣿⣿⠿⣞⠉⠉⣉⡉⠳⣝⢷⡟⠁⠈⠹⣶⣿⢿⣻⡽⠟⠛⠓⠓⠓⠒⢯⣽⣻⢿⣿⣿⣿⠋⠀⠈⢳⣿⡟⣿⣿⢸⠀⠀⠃⣸⡇ ⢻⡇⠀⠀⢸⢸⣿⡄⣿⣿⣆⣉⠓⣾⡄⠈⢦⠸⡌⣷⣄⣠⣼⢯⡵⠋⠃⠉⠀⢀⣠⣴⠾⠽⠿⠯⠿⠷⣍⢿⣿⣷⣄⣴⣿⣿⣿⣿⡟⢸⠀⠀⠀⣿⠁ ⠘⣿⣀⠀⠘⡿⣿⣧⢹⣄⠙⢦⡻⢇⣹⡆⣼⢣⠇⣾⣷⣞⣿⠏⠁⡴⠂⠀⣴⣿⠃⠙⢦⣸⣤⣾⠀⠉⠺⢷⡙⣿⡟⢻⣿⣿⣿⣿⣇⡞⠀⠀⢰⣿⠀ ⠀⢿⣿⣣⠀⢳⣹⣿⡎⣿⣷⣌⠩⠽⢟⣿⠃⣼⢀⡟⣼⣿⠁⢠⠞⠁⠀⠀⣼⠗⠒⢲⣾⣉⣿⣿⣷⠇⠀⠘⣿⡹⣿⣿⠿⢿⣨⣿⣸⠃⠀⠀⣼⡇⠀ ⠀⠘⣿⣟⢇⡈⢯⢿⣿⡌⢿⣿⣦⣤⢸⡏⠀⡏⢸⠀⣏⡇⠀⣧⣀⣠⣔⣤⣿⡗⠒⠋⠿⣿⣿⣿⣿⠁⠀⣧⡏⡇⢹⡇⠀⠀⣽⢣⠇⠀⠀⢰⡿⠁⠀ ⠀⠀⠹⣿⣾⡱⡘⣮⢿⣿⣌⢿⣿⣿⡄⢹⡀⠻⣬⣃⣹⣻⡀⠉⢻⣿⠀⠀⠈⢳⣵⢄⡀⠁⢻⠀⢧⣀⣼⡟⠀⡇⢸⣿⣶⣾⢣⠟⠀⠀⢠⣿⠃⠀⠀ ⠀⠀⠀⢹⣿⢷⡵⡌⢯⡻⣿⣦⡹⣿⣿⡄⢳⡀⠀⠉⠉⡟⢧⣠⣾⠟⠀⠀⠀⠀⠙⠳⢽⣲⣦⣶⣶⠾⠋⠀⢀⡇⢸⣿⡿⣣⠏⠀⠀⢠⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠹⣷⡽⣘⢦⡻⣜⢿⣷⣬⣿⣿⣄⠳⣄⣀⡀⢻⡄⠰⡇⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣿⢁⣾⢋⡼⠁⠀⠀⣰⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢿⣮⣧⣷⡌⠳⣝⣿⡏⠀⢈⣦⡈⠻⢿⣇⣻⣄⣙⠓⠒⢋⠖⣜⣞⡆⠀⠀⠀⠀⠀⠀⣀⣼⣥⢞⡵⠋⠀⠀⣠⣾⡟⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠐⠶⡀⠀⠤⠄⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⣜⣨⡑⠤⠕⠀⡔⠒⢌⢴⡦⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⣧⢬⠦⣀⡀⠮⢤⠈⠀⢒⡤⢵⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⠆⣝⣿⣳⠉⢱⡃⢄⢰⣹⠙⡗⣿⣷⣿⠏⠀ ⠀⠀⠀⠀⢀⣀⣀⣠⠾⣌⡝⠛⠿⠷⣞⣻⠋⠒⣦⡖⠛⣿⣽⡏⠀⠀ ⠀⡠⠎⣹⢋⣴⡯⡾⢴⢙⡝⠥⣀⠀⠰⡛⠛⠻⡛⢻⠿⢟⢃⢰⠀⠀ ⠀⠣⠜⡩⢲⣿⣷⡶⠟⠛⠢⢚⣑⠍⣲⠂⡻⠭⣁⢈⣤⣿⣾⡎⠀⠀ ⠀⠀⠞⢦⣼⣟⠉⠄⣄⣠⣢⣤⢬⣭⣒⣪⠥⠮⠴⣪⢾⡷⠚⣆⠀⠀ ⠀⡼⠑⣱⣟⣫⡿⢿⣿⣦⣴⣿⣿⠿⣿⣿⣿⣾⣹⣒⣦⣿⡄⠘⣆⠀ ⢰⠃⢠⣽⡟⠙⣷⢺⣿⡿⡟⠉⠻⣿⣿⣿⣿⣟⣧⠿⣿⣯⡞⢸⣼⡀ ⢸⠀⠘⣟⣿⣿⣷⣿⡿⣿⡛⢢⢚⣤⠭⢧⣤⣳⣶⣶⣿⣿⣿⡟⢇⡇ ⢸⠀⢠⣟⡿⣙⡤⠢⣻⣧⣨⡻⠛⢉⣠⢼⠿⢿⡻⣧⣼⣿⣿⡇⢀⡇ ⠘⣷⡘⣻⣵⣎⠓⡟⡌⢯⡎⡔⠀⢹⣀⣯⣿⡆⢹⡽⡾⢯⠷⠀⣸⠀ ⠀⠹⣯⡽⣷⡽⣷⡡⠳⠼⣇⢹⠉⠙⢆⣌⣋⣠⠏⡀⣷⠾⠃⣠⠃⠀ ⠀⠀⠙⣯⣺⢿⣾⠓⡑⢤⣣⡠⠠⣄⡄⠀⠁⠀⣰⣵⠟⢁⡴⠃⠀⠀
⡿⠉⣉⡁⠈⠁⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠇⢉⣿⢇⣀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠏⠉⠻⣯⠍⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣮⣿⣶⣤⢀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠀⠉⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⢀⠴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠠⣼⣥⣴⣾⠟⣻⣿⢿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⠀⠀⠀⠀⠉⢻⣿⣿⣄⡛⠛⣨⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡟⠟⠟⣦⠙⣇⣀⡄⠀⠀⠀⠈⠛⠿⠿⠿⠿⢿⠟⠛⠀⢀⡀⠀⠀⠀⠀⣴⣾⡟⢛⣿⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡇⠘⢀⣩⣆⣼⠉⢿⣄⠀⣀⣀⡀⢀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠉⣲⡄⡿⣿⣧⣌⣋⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣧⢠⣾⣉⣛⢸⠀⢦⣿⣿⣿⣉⣉⡀⠀⠀⠀⠀⠀⠀⠐⢻⠟⠃⢠⣿⠇⠀⠈⠛⠛⠛⠋⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣧⣙⠺⠙⣿⡄⠀⠘⡍⢻⣿⣿⣷⣶⣶⣤⣤⣤⣀⣀⠘⠂⠀⠈⠃⠀⠀⠀⠀⢀⠀⠀⡘⠻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣿⡇⠀⠀⠁⠈⣿⣿⣿⣿⣿⣿⡿⡿⡿⣿⣿⣿⣶⣤⣤⣤⣄⣀⠀⢀⣷⣾⠖⠉⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣾⣿⣿⣥⣿⣏⣿⣻⠻⣿⣿⣿⡿⣿⡟⠰⢠⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠘⣧⠀⠂⢀⠀⠈⠉⢿⣿⣥⣏⡿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⠛⢡⠟⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢀⢻⣧⠀⡌⠀⠀⠀⠀⢻⣿⣿⣷⣯⣹⡟⣝⣛⣯⣽⣿⡟⠁⢠⣯⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⢸⢿⣿⣧⣼⣷⠀⠀⠀⠀⡙⠻⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⡟⠀⠘⡃⢹⣿⣿⣮⣧⠀⠀⠀⠈⠁⠉⠌⣉⣙⡻⠋⠁⡀⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠛⠛⠛⠛⠋⠉⠉⠉⠀⢠⡞⠀⠀⢀⡇⠘⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠇⢠⠀⢨⡇⠀⠋⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣠⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠸⡅⠀⠀⠘⠿⣿⣿⣿⣿⣷⣶⣶⣤⣤⣤⣴⢋⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠉⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⡜⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢀⠀⠀⠀⠀⠀⢳⣶⣾⣿⣿⣿⣿⣿⡏⠀⠀⡰⠁⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⣶⣽⣿⣿⣿⣿⡟⡍⡀⠀⠀⠁⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⠀⠀⠀⠀⠀⠀⡴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣧⠀⣾⠀⣰⠾⡇⠀⠀⢀⣶⠀⠀⠀⠀⠀⠀⠀⠀⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⠤⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢻⣾⠀⠸⣿⠋⣿⠃⢀⣷⣶⣴⠋⢹⠀⠀⠀⠀⠀⠀⠀⠀⢻⠳⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡿⠦⠤⠿⢤⣀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠻⣀⣤⣻⣄⣀⣀⡉⠉⠹⠇⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⣸⠖⠚⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⣀⣀⠤⠊⠈⢹⠶⣄⣀⣀⡤⠶⠚⠛⠉⠉⠉⠀⠀⠀⠉⠉⠙⠓⠲⠤⣾⣀⠀⠀⠀⢀⣠⡴⢾⠓⢤⣄⣸⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡅⠀⠀⣠⠔⠁⡤⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⣞⠋⢇⠀⠈⠳⣄⣀⣸⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⣖⠋⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡌⠳⢤⣀⣀⢠⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢦⣤⢟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⢀⡽⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⣼⡧⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣤⣤⠤⢴⠖⠘⡟⣃⣀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⢰⡚⠛⡆⢠⡏⢉⢉⣿⡉⠉⣹⣏⠉⠉⣿⣉⠉⢹⣯⣁⣀⡿⣦⣶⣾⠆⠀⠘⢷⣤⠟⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠹⡆⠉⠉⠀⠀⠓⠖⠋⠈⠉⠉⠁⠙⠛⠛⠉⠙⠒⠛⠉⠉⠉⠀⠀⠉⠁⠀⠀⠀⠀⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠴⠚⢿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢺⡏⠙⠓⠶⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠈⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠖⠁⠀⣾⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⣀⣀⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠈⠲⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⣠⠖⠋⠁⠀⠀⠀⠈⠉⠓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀ ⠀⠀⢀⠞⠁⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠹⡄⠀⠀⠀ ⠀⢠⠏⠀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⠘⣆⠀⠀ ⢀⡏⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠈⣇⠀ ⠸⡇⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⡆ ⠀⠹⢄⡀⠀⠀⣀⢾⡇⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⢸⠃ ⠀⠀⠀⠉⠛⠛⠁⢸⡇⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⡏⠳⣄⣀⣀⣀⠴⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⡇⠀⠀⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠜⠉⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠈⠙⠓⠶⠤⣤⣀⣀⣀⣀⣀⣀⣀⡤⠴⠒⠋⠁⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠲⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠞⠁⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠈⠙⠓⠶⠤⣤⣤⣤⣤⣤⣤⣤⠤⣴⠖⠚⠋⠁⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⡀⠀⠀⠀⢀⣀⡼⠁⠀⠀⠀⠀⠀⠀⠘⢦⣤⣀⣀⣀⣀⣴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⡰⡏⠀⠀⠀⠀⠀⢀⣤⠛⣠⢇⠔⣇⣀⠴⠀⠀⠀⠀⠀⡤⡀⠀⠀⠀⠀ ⠀⠀⠸⠥⠵⣄⡀⠀⠀⠀⢣⣹⣠⠣⠈⣀⣉⠏⠀⠆⠀⠀⠀⠀⡀⠓⡀⠀⠀⠀ ⠀⠀⢰⠒⠈⡠⢈⡰⠒⠈⠉⠀⠀⠀⠀⠀⠀⠉⠘⠂⢄⡤⡖⠙⢅⠒⡇⠀⠀⠀ ⠀⠀⠀⠱⡉⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢎⠂⠤⡰⠁⠀⠀⠀ ⠀⠀⠀⠀⡨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠊⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠁⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠠⡦⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⡰⣘⠄⡏⢩⢆⣀⢦⣀⡶⣈⡹⠭⠽⠶⠾⠀⠘⠍⢺⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢉⣢⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠊⢹⠢⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⠁⡆⠀⠀⠀⠉⠀⣀⠀⠄⢀⡀⠀⠀⠀⠀⠀⠀⠇⠈⠢⡀⠀⠀⠀ ⠀⢀⠔⠁⠀⢰⠁⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠑⠄⠀⠀⠀⠀⢸⠀⠀⠈⢆⠀⠀ ⢀⠃⠀⠀⠀⡌⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⡇⠀⠀⠀⠢⠀ ⢸⠀⠀⠀⢀⠃⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠀⠀⢰⠀⠀⠀⠀⡇ ⠀⠑⠤⠄⢺⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⢸⢄⠀⠀⡠⠃ ⠀⠀⠀⠀⠘⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⢸⠀⠈⠁⠀⠀ ⠀⠀⠀⠀⠀⢃⠀⠀⠀⢃⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠃⠀⠀⡘⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠈⠁⠒⠂⠠⠤⠄⠒⠊⠁⠀⠀⠀⡐⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠗⠢⢄⡀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠔⠊⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⢉⡱⠐⠒⠀⠈⠫⣀⣀⣀⣠⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠺⣶⣶⠟⠉⠉⢷⣶⡾⠋⠛⢿⣦⠹⣿⣿⣿⠃⠀⠀⠀⠘⢿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣠⣴⣟⡿⣶⣄⢴⡾⠛⢷⣄⣠⣾⠟⣷⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠘⢿⣧⡀⢻⣮⣿⣧⣀⣀⣠⣿⣿⣆⣤⣎⣿⡟⠀⠀⠐⢦⡄⠀⠀⢀⠔⠉⠀⢀⣀⣀⣠⢀⡾⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠄⠀⠀⠀⢙⣿⣿⡋⠛⣿⣿⣿⣿⣝⡋⢙⣿⣿⣿⣿⣿⣿⠶⣦⠐⡄⢰⡃⢠⣶⡿⣛⠿⣿⣿⣿⠇⠀⣼⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿ ⣶⣾⣶⣶⣿⣿⣿⣿⣶⣾⣿⣿⣿⣧⣴⠟⠉⠙⢿⡟⣿⢿⠇⢸⣧⡁⠈⢰⣿⣯⠘⠿⠇⣸⣿⣃⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣉⣙⣛⣟⣛⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣾⣷⠛⠷⠖⢛⣿⠁⣠⢄⠹⠛⠓⠒⠾⠛⠉⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡆⠀⠨⣏⠀⠙⡄⠹⡆⠀⠀⢷⣤⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⣀⡀⠈⠀⠀⠀⣀⣀⣀⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⢿⣿⡿⠟⠁⣀⣴⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣴⠂⠀⠀⠸⣦⣀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢰⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⣖⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⣶⡄⠀⢰⣀⡼⡇⠀⠘⡆⠀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⠿⠿⠛⣛⡿⠷⠶⣟⢷⡴⣧⣤⣰⡓⠉⡃⢀⣠⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠟⠋⠀⠀⢀⠞⠁⠀⠀⠀⠈⢳⣿⡟⠒⢿⣿⠢⡭⡝⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡿⠋⠀⠀⣠⠤⠤⠼⣄⠀⠀⠿⠟⠀⡞⡿⢆⠀⠀⢻⣧⠙⢟⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣿⣿⠋⠀⠀⢠⠎⠀⢀⣀⠀⠈⢳⡀⠀⠀⣼⡾⣧⠀⠀⠀⠀⢏⠏⠈⢧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣿⡿⢁⡠⠔⠒⡞⠀⠀⠘⠿⠃⠀⢠⡿⢛⣿⡟⠓⠄⠀⠀⠀⠀⢸⢸⠀⠈⢆⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⢿⣿⣷⠋⠀⢀⣀⡙⢄⡀⠀⠀⠀⣠⣾⣷⣿⠋⠛⠀⠀⠀⠀⠀⠀⠈⡇⡧⢦⣼⡀⠀⠀⠀ ⠀⠀⠀⠀⠘⣖⢺⣿⡀⠀⠘⠿⠃⠀⣹⢛⣿⠟⣋⠽⣾⡉⠃⠀⠀⠀⠀⠀⠀⠀⣀⡇⢡⠐⠂⡇⠀⠀⠀ ⠀⢀⡆⢰⠺⣡⢋⣳⣵⣦⣤⣤⣤⣶⣿⣭⠶⡏⠙⠀⠈⠀⠀⠀⠀⢀⡤⠒⠉⢙⡢⡇⡘⠀⠀⢹⠀⠀⠀ ⢀⡎⠣⠠⢧⠁⢸⢻⠹⡟⡇⠙⠇⠻⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⢀⣠⣬⠟⡱⠁⠀⠀⠸⡄⠀⠀ ⠈⠧⣀⣀⠸⡄⠈⢆⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢠⡇⣤⣰⠾⢋⡥⠊⠀⠀⠀⠀⢤⡇⠀⠀ ⠀⠀⢠⡿⡎⣧⢲⡈⢦⠳⡀⠀⠀⠀⠀⢀⡀⠀⢰⡄⢠⣜⣷⠼⠛⣩⠤⠚⠁⠀⠀⠀⠀⠀⠰⠚⡇⠀⠀ ⠀⠀⠀⡠⢛⣿⠠⠍⠂⠑⢍⡢⠼⣦⣷⣼⡷⠼⡖⣛⣩⠥⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⣴⡁⠾⢼⣀⣀⣀⣀⣀⣉⣑⣒⣒⣒⡓⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠠⠤⠤⠧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠤⠤⠤⠄⠀⠀⠀⠀⠈⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠀⠀⠀⠉⠉⠒⠒⠒⠈⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠉⢉⣳⣿⣯⠈⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣇⠀⢻⣿⣇⣁⣠⠞⠓⠒⠚⠧⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢶⣾⠁⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⢖⠙⠻⣦⠴⠦⠶⠖⠺⠚⠉⠹⠚⠛⠓⢲⠞⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⡆⠀⠈⢆⠀⢀⡠⣤⣤⠀⠀⠀⠀⠀⡏⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⢷⣀⠀⠘⡄⠈⠙⠾⠋⠀⠀⠀⠀⢰⡃⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣆⠀⠹⡄⠀⠀⠀⢀⡀⣴⣾⣿⠭⣧⣾⢦⣀⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡓⠀⠈⠲⠓⠓⠚⢉⣿⣋⣿⣤⢌⠳⡄⠀⠻⢦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⢠⡀⣏⢋⠀⡛⠙⢦⡀⠁⠀⠀⠘⠀⠀⠈⢿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡶⡧⢤⣄⠀⣷⡼⠾⣖⣏⠉⠉⠛⠓⠶⠶⠀⠀⠀⠀⠈⠹⡄⠀⠀⠀ ⠀⠀⠀⢀⣴⠛⠁⠀⢀⡼⣇⠻⣿⣦⡀⠀⠈⣳⣤⠄⠐⠲⠦⠀⠀⠀⠀⠀⠀⢣⡄⠀⠀ ⠀⠀⢠⠟⠀⠀⠀⠀⠬⣆⠘⠉⢹⣿⣅⣀⣻⣟⣸⣗⣀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⠂⠀ ⠀⣠⠏⠀⠀⠀⠀⠀⠀⠈⠙⠲⣄⣣⣿⢯⣽⡇⠉⣿⡽⣧⠀⠀⠀⠀⠀⠀⠀⠀⠘⣶⠄ ⣰⠇⠀⠀⠀⠰⢶⣒⣆⠀⠒⣤⡾⢏⠽⠺⠿⠆⠀⠉⠐⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄ ⠁⠀⠀⠀⠀⠀⠀⠀⣴⣻⣽⣿⣧⡇⠀⡶⣤⡀⠘⠋⠠⢶⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠙⠃⠀⠀⠀⠀⠛⠋⠁⠀⠀⠿⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠲⣷⣤⣴⡿⠛⠉⠉⣷⣤⣴⡿⠟⠛⢿⣷⣦⠘⣿⣿⣾⣿⡟⠁⠀⠀⠀⠀⢻⣿⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿ ⠀⠀⠀⠀⠀⢀⣼⣿⣿⣤⣀⠀⢀⣬⣿⣿⣄⡀⠀⢀⣽⣿⣷⣽⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⢀⣶⡿⠿⢷⣍⠻⣿⣶⡿⠋⠁⠈⠻⣿⣶⡿⠛⠀⣻⣿⣿⣿⠃⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠉⠀⠀⠀⠀⠀⠀⣠⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠘⠿⣷⣄⠀⣙⣿⣿⣿⣷⣤⣠⣤⣾⣿⣿⣿⣦⣷⣷⣼⣿⡏⢀⡀⠀⠈⠳⣆⠀⠀⠀⢀⡴⠋⠀⠀⣀⣀⣤⣤⣤⣄⣰⡟⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡀⠀⠀⠀⠀⠈⢻⣿⣿⠋⠛⢿⣿⣿⣿⣿⣿⣭⠹⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⠈⢦⠀⣰⡏⠀⣠⣶⣿⡿⠿⣿⣿⣿⣿⣿⠇⠀⢀⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣠⣤⣶⣤⣠⣶⣿⣿⣻⣷⣦⣤⣿⣿⣿⣿⣿⡏⣉⣴⡟⠛⠿⣿⣿⣿⣿⢿⣿⡄⢹⣧⡘⠀⠙⢃⣴⣿⡟⢱⣿⣿⠄⢻⣿⡿⠃⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣄⣀⡀⢈⣿⣇⣿⣮⣋⣁⣴⣿⣷⠀⠀⠘⠿⢿⣿⣄⡉⢉⣠⣾⣿⠷⠂⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣠⣤⣨⣮⣯⣬⣭⣉⣉⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⠉⠙⠛⠉⢉⣾⡇⠀⣼⠢⣄⡋⠉⠉⠉⠙⠋⠉⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣴⠀⠀⠀⣿⡀⠀⠙⣆⠈⢻⡆⠀⠀⠸⣷⣤⣀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠉⠀⠀⠁⠀⠀⠁⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⢀⣼⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣠⠀⠀⠀⢠⣌⠉⠉⠉⠁⣀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⠏⠀⠀⠀⠀⢹⣷⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣻⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⢘⣶⣏⢉⣷⣞⠉⣳⣼⣿⡏⠀⠀⠙⠃⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠰⢿⣐⣿⣿⣀⣬⣿⣥⣽⣟⣀⠀⢄⠀⠀⠐⢁⣀⣠⣠⠚⣿⣿⣿⣿⣿⣿⣿ ⣤⣤⣤⣿⣧⣽⣿⣿⣠⠼⠻⡿⡿⡟⣦⠀⢣⣾⢫⡝⣿⠋⢠⣿⣿⣿⣿⣿⣿⣿ ⣭⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣷⠛⠚⢿⠠⡨⡙⠓⣒⠋⣡⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⡘⠀⣁⣁⣀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠛⠛⡻⠿⠛⣠⣾⣿⣿⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⠀⠀⣹⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢷⡄⠉⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣶⣶⣶⣷⠄⠀⢀⣧⣀⡾⢿⠀⠀⠀⡇⠀⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⣿⣿⣿⡿⠿⠿⢻⣿⣴⣖⡺⢧⣧⣠⣞⣄⣀⡠⠟⡚⢹⠃⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⡿⠟⠋⠉⠀⠀⣠⠞⠉⠀⠀⠀⠉⠳⣝⣧⣟⡭⣽⡻⡿⣄⡘⠒⢒⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠟⠋⠀⠀⠀⠀⠀⢰⠃⠀⠀⢀⣤⣤⡀⠀⣹⣯⡟⠀⠀⠹⣟⣎⠙⣭⠹⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⠟⠁⠀⠀⢀⣠⠴⠒⠒⠾⣄⠀⠀⠈⠻⠟⠃⢠⠏⡿⠻⡄⠀⠀⠘⣾⣆⠈⢻⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡟⠁⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⢀⡏⣼⣧⠀⠀⠀⠀⠀⠹⡽⡏⠁⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠏⠀⢀⣀⣀⣸⠃⠀⠀⢰⣿⣷⠀⠀⠀⢳⢤⣤⣴⣟⡿⣧⡉⠃⠀⠀⠀⠀⠀⢧⢹⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⣿⢏⣴⠞⠉⠀⠀⢸⠀⠀⠀⠀⠉⠉⠀⠀⢀⣿⠁⣡⣿⣿⡀⠀⠁⠀⠀⠀⠀⠀⠀⢸⡈⡇⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⠃⠀⠀⢀⣄⡈⠳⣄⡀⠀⠀⠀⢀⣠⣾⣾⣞⣿⡁⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢻⠻⢤⡼⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⡦⠤⣾⢯⠀⠀⠀⠻⣿⡟⠀⠈⣿⠽⣶⣿⡿⠛⣩⣷⣏⠙⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⢸⠀⠲⠂⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⣀⠀⣀⣰⠇⣳⠾⡜⢦⡀⠀⠀⠀⠀⣀⣴⡿⠖⣋⣥⡶⢿⡇⠈⠛⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠖⣞⡛⣻⢸⠀⠀⠀⢾⠀⠀⠀⠀⠀⠀ ⠀⣰⡏⠀⢹⠘⡶⠃⡴⣛⣶⣿⣷⢶⣿⡿⣿⡿⠻⣿⡉⠳⡇⠀⠁⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠀⠀⠀⣦⣽⡏⡼⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀ ⢀⡇⠙⠦⠼⢳⠇⠀⡇⢧⠘⢧⢻⠀⠙⠧⠈⠓⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⣤⡰⣶⡼⢋⡼⠁⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠈⣇⡀⠀⠀⢸⡄⠀⢸⡜⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠡⣄⠀⣶⡼⠟⢉⡴⠋⠀⠀⠀⠀⢀⣀⣇⠀⠀⠀⠀⠀ ⠀⠀⠉⢹⣯⠴⢧⢀⣀⠳⡌⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢺⣦⡀⣿⣦⠟⠛⣁⡤⠞⠁⠀⠀⠀⠀⠀⠀⣠⣈⣿⠀⠀⠀⠀⠀ ⠀⠀⠰⠟⠛⣇⣼⡌⠧⣄⠙⣆⠳⣄⠀⠀⡄⢀⡀⠀⣦⠀⣄⡈⣷⣄⣶⡦⠗⠛⣉⣤⠴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠞⢫⡿⡇⠶⠌⠁⠈⠳⣌⡓⠦⠿⣮⣿⣦⡿⠷⠿⡛⣋⣉⡴⠶⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀ ⠀⠀⣠⡞⠀⣞⣠⡇⠀⠀⠀⠀⠀⠀⢉⠓⠲⠶⠶⠶⠚⠒⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣇⠀⠒⠈⠀⠀ ⠀⠀⠉⠉⠁⠀⠈⠉⠩⢭⣉⣉⣉⠉⠉⠉⠉⠉⠉⠉⠛⠒⠒⠒⣒⣒⣒⣶⣶⣶⣶⣶⣖⣒⣶⠶⠶⠖⠉⠉⠉⠩⠭⢤⣀⣀⣀⠤⠤⠤⠒⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠒⠒⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡀⠀⠀⠀⠀⠀⣠⠄⠀⠀⠀ ⠀⠀⢦⣿⣆⢶⣿⣛⣿⡯⡴⠀⠀⠀ ⠀⠀⢀⡻⣯⣷⣿⣟⣿⡁⠤⡤⣄⠀ ⢀⢔⠏⢹⣿⣟⠻⣛⠻⣓⣷⣧⣿⡀ ⠻⣿⡀⠈⠉⠉⠛⠋⣸⡫⠥⠽⠚⠃ ⠈⠉⠱⡀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀ ⠀⢀⣀⢝⣀⡀⣀⢯⠀⠀⠀⠀⠀⠀ ⠀⠉⠉⠉⠀⠀⠈⠻⠗⠂⠀⠀⠀⠀
⠀⠀⠀⢀⡀⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⢀⣰⠾⣿⢯⣬⠤⠄⣀⡀⠀⠀ ⢰⣟⢛⣫⠘⢋⠈⢀⠈⠱⣾⡄⠀ ⠀⠃⢬⣋⣦⣤⣶⠦⢰⠔⠋⠀⠀ ⠀⠀⠀⠀⠉⣿⣿⣯⣀⣀⣀⡀⠀ ⠀⠀⣠⣤⡈⣟⡷⣾⣋⠹⣟⣀⡀ ⠀⠐⣻⢻⡌⣳⣻⡅⠐⢃⠙⠿⠁ ⠀⠘⠉⠈⠻⠧⣹⣒⣚⠝⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⢋⣜⡁⠀⠀⠀⠀ ⠀⠀⠀⠒⠚⠋⠉⠉⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣿⣷⣾⡿⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡠⣶⣾⣟⢹⢿⣏⣿⣾⡟⢙⠛⣒⣤⡤⢄⡀⠀⠀ ⢀⣿⣿⠋⠉⠛⣇⠈⠛⢁⠁⠁⠀⠀⠀⠀⢹⠻⣷⠀⠀ ⠈⢻⣿⠒⣶⢿⠟⣀⠀⠈⣄⠀⠈⠀⣤⠀⣸⣿⠟⠀⠀ ⠀⠀⠉⠛⠿⣭⣴⣿⣾⣛⣿⡿⠟⢉⡽⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⢙⣿⣿⡿⣟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⣷⣖⣿⣷⣾⣯⣭⣿⡟⠁⠀ ⠀⠀⠀⢀⣰⡴⣦⡄⢻⣼⣿⣿⣿⠙⡄⠀⢸⣏⡀⣀⡀ ⠀⠀⢠⡿⢿⣿⣿⡙⠷⣶⣿⡿⣋⣁⣈⡆⠀⠻⢿⣿⠛ ⠀⠀⢀⣧⣼⡆⢿⣿⣶⣾⣵⠟⠋⠀⣀⣸⠀⠀⠈⠀⠀ ⠀⠀⠉⠉⠀⠀⠈⠿⢿⣷⠹⡷⠖⢚⢉⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠏⣻⠿⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣁⣾⣏⣀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⠒⠛⠛⠋⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣄⠀⣄⢷⠈⢂⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⠟⠋⢉⠀⠉⠉⢻⡿⠱⣞⢝⠶⠀⠀⠀ ⠀⠀⠀⠀⣠⡾⠋⠀⡠⠒⠒⢄⠘⠛⢠⠓⠀⠘⣧⢍⠁⠀⠀ ⠀⠀⠀⣰⣿⡁⠄⠜⠀⠰⠂⢀⡶⣶⠋⠁⠀⠀⢠⠀⢂⠀⠀ ⠀⠀⠀⣿⡟⠀⠠⠌⢢⢀⣤⣾⡟⠇⠀⠀⠀⠀⠀⡘⠚⡀⠀ ⢀⡆⠖⡝⣿⣦⣤⡴⡾⡗⠏⠃⠁⠀⠀⠄⠂⠁⣖⠃⠀⠃⠀ ⠰⡈⡁⡀⠡⠁⠀⠁⠀⠀⠀⠀⠀⠀⣠⣀⡴⡛⠕⠀⠀⣠⠀ ⠀⠐⢻⣧⠆⠕⢄⢠⣠⣠⣀⣦⡰⠟⠋⠑⠈⠀⠀⠀⠘⢸⠀ ⠀⠴⠔⠉⢀⡀⠀⠉⠭⠍⠉⠀⠀⣀⣀⠀⣀⡠⠤⠀⡀⠐⡀ ⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣧⡀⠀⠀⠀⣀⣤⣶⣶⣦⣀⡴⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢶⣦⣿⣿⣿⣶⠲⠟⣿⡿⠟⢋⠉⣿⣾⣿⣅⣤⣶⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣷⣤⣾⢿⣰⣦⣼⣿⣿⣿⣿⣧⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠟⣻⣏⣉⣠⣿⣾⡟⣿⡏⢻⣭⣿⠋⠁⠀⠀⢀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡾⣴⣏⣻⣿⣟⡿⢿⣿⣿⡷⣿⣿⣿⣶⠚⣉⠙⣿⡍⠻⣷⡄⠀ ⠀⠀⠀⣠⠶⣯⠉⠻⣿⣿⣿⣿⡿⢿⣿⣿⣿⣿⣿⢹⣧⠼⢿⣤⣾⣧⠀⡏⢹⠀ ⠀⣠⣾⢁⣼⡇⠀⠀⣿⣿⣿⣿⣿⡆⠈⢰⣤⣈⠇⡏⣠⢰⣾⣿⣿⣿⣿⡿⢿⡄ ⢸⣿⣿⣬⣿⠀⠀⠀⠿⠟⠛⠻⠯⣿⣟⣌⣯⠏⠀⢹⡿⠏⠙⠀⠙⢺⣷⣤⣿⡇ ⠀⢯⠹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⢀⣿⢙⡗⠒⠶⠶⠿⠟⠋⠉⠀ ⠀⠈⠳⠿⠛⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠉⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠄⠈⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣷⠦⠤⠤⣄⣀⣀⣠⣴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣸⠿⡄⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⣿⣿⣴⣾⡿⠖⠒⠒⠒⢶⣏⢙⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠙⢷⣿⣿⡿⠶⠂⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⣄⠀⠀⢀⣤⣶⣶⣤⢴⣺⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣶⣿⣿⣻⠙⣹⡟⡋⣤⣼⣾⣿⡖⡾⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡿⣿⠛⢫⣯⣷⣿⠿⣟⣿⠿⠊⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡼⣴⣛⣿⣟⡿⣿⣾⠶⣿⣿⡤⢒⡒⣾⠛⢶⡄⠀ ⠀⢀⠔⣺⠉⠻⣿⣿⣿⡟⠿⠿⠿⣿⢹⠗⠛⣶⣿⣇⣸⣹⠀ ⣴⣿⣸⡏⠀⠀⣿⣿⣿⣿⣤⡸⣷⠆⢸⣾⡽⠟⠿⣿⡋⣹⡄ ⢹⠻⣿⡇⠀⠈⠀⠀⠀⠈⠙⠛⠉⠀⣼⢳⠤⠤⣤⡿⠟⠛⠀ ⠀⠑⠛⠛⡄⠀⠀⠀⠀⠀⠀⠀⣀⠎⢉⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢦⣀⠀⠀⠀⠀⠀⢀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣻⢇⠀⠉⠉⠉⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⣶⣾⣥⣾⠖⠂⠀⢰⣏⣻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⠟⠟⠓⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⢸⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠀⣿⣿⣷⢾⡿⠇⠙⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⣿⠿⠿⣿⣿⡿⢿⣦⣴⣿⠻⢶⡦⢤⣀⢀⡀⠀⠀⠀⠀⠀ ⠀⣰⢾⣽⣿⣝⣷⡄⠎⢻⣿⣾⢉⠻⡇⠘⠂⡀⠒⠛⢿⣉⣳⣤⠀⠀⠀ ⢨⣿⣟⡏⠀⠀⢁⣳⡄⠀⠉⢠⡀⠀⠀⢈⠀⠀⠀⠀⠀⡇⠻⣿⡇⠀⠀ ⠘⢿⣽⡓⠚⣿⢟⡿⠃⡀⠀⠘⢣⡀⠀⠈⠁⢀⣄⠀⢀⣿⣿⠟⠁⠀⠀ ⠀⠈⠙⢶⣾⣷⠟⠁⣼⣟⣴⣷⢾⣿⣟⣿⡗⠺⢿⡷⠚⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠛⠿⠿⠿⣽⣶⣿⣿⣋⣁⡤⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣿⡿⠟⣯⡀⠀⠀⠀⣀⠀⣀⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢡⣿⣷⡖⣿⣿⡿⣿⣏⣭⣭⣿⣿⠃⠀⠀ ⠀⠀⠀⠀⠀⣠⣀⣤⠀⠀⣿⡀⠿⣟⣿⣽⡏⢯⠉⠁⠘⣿⡋⠁⠀⠀⠀ ⠀⠀⠀⢰⣾⣻⣿⣸⡟⢧⣜⣛⢻⣿⣿⡿⠶⠚⢳⡀⠀⢙⣷⣶⣾⣯⡆ ⠀⠀⠠⣾⠻⢻⠿⣟⣷⡀⠛⠿⣿⢻⣏⣥⠤⠶⠶⢧⠀⠀⠚⢻⡿⡏⠀ ⠀⠀⢀⢸⣆⣾⡆⢸⢿⣯⣷⣾⣿⣾⠟⠋⠉⠀⡆⢨⡇⠀⠀⠈⠀⠀⠀ ⠀⠀⠘⠛⠋⠉⠁⠈⢻⣻⣿⣯⡍⢻⣖⣒⠒⢺⠛⣽⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢳⣬⣧⣤⣤⣮⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⢁⣼⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣯⣥⣠⣾⣭⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡤⠶⠖⠺⡿⠟⠛⠋⠛⠛⠋⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡼⣧⣬⡍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡞⠠⢷⣾⡎⠀⡀⠴⠤⠀⡀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⡎⠀⢠⠊⠀⡐⡢⠄⠈⠢⡀⠀⠀⠀⠀ ⠸⡀⠀⠈⠂⠃⠀⠙⡀⢈⠖⢠⠄⢸⡔⠈⠉⢣ ⠀⠙⠀⠁⠀⠀⠀⠛⠑⢄⡠⡈⣀⣹⠀⣾⡇⢚ ⠀⠀⠑⡆⠂⠲⠐⡀⠀⠀⢀⢩⣻⡷⠊⠊⠿⠛ ⠀⠀⠀⢆⠀⢀⡀⠁⠈⠈⠁⠚⢹⠁⠀⠀⠀⠀ ⠀⠀⠀⡆⠀⠀⠁⠀⠀⠀⠰⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠱⠀⠀⢓⣰⠀⠀⢀⡀⡇⠀⠀⠀⠀⠀ ⠀⡀⠤⠃⠒⠀⠀⠀⠀⣠⠀⢀⠏⠀⠀⠀⠀⠀ ⡘⠀⠀⢀⡀⠀⢀⠤⡄⠀⠀⠺⡀⠀⠀⠀⠀⠀ ⢇⣀⡀⠄⠀⠤⠊⠀⢸⠀⢀⠀⢇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⣎⣀⠀⠀⢈⣢⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠈⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡴⠒⣒⣶⠐⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡀⠛⠠⠗⠓⠒⠉⠉⠱⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⡚⢦⠠⠔⠒⠂⠐⠒⢒⠂⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣦⠀⠂⠐⠼⠆⠀⠀⢠⠀⠸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢂⡈⢄⣀⣀⣄⣶⡯⢷⠳⢴⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⠀⢀⢁⠆⡸⠣⡉⠉⠱⠀⠐⡆⠀⠀⠀ ⠀⠀⠀⣠⠤⠓⣶⢜⣞⠚⠫⣉⢉⣙⠀⠀⠀⠈⠆⠀⠀ ⠀⠀⡔⠁⠀⠨⣍⠀⡿⣀⣰⣏⣆⠀⠀⠀⠀⠀⠸⡆⠀ ⠀⡞⠀⠀⣤⠄⠠⣘⡞⡫⣾⠁⠛⡃⠀⠀⠀⠀⠀⠹⠀ ⠈⠀⠀⠀⠀⠰⣯⠿⠌⢰⣤⠀⢃⠺⡆⠀⠀⠀⠀⠀⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀
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⡯⢬⡀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡂⡻⠍⢸⣿⣿⣿⣿⣿⣿⣿⠟⠋⠉⠀⠀⠈⠉⠻⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣾⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⢴⣤⡶⣲⡲⣦⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡿⠯⡝⢟⢀⠀⠀⠻⢿⢾⢶⠿⠄⢀⠀⠀⢀⣴⢶⣶⣸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⡇⢡⢿⢜⢙⣦⡤⠤⠄⠀⠀⠀⢀⡴⠏⣱⠈⠿⣮⣽⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣕⠛⢾⠈⢹⢻⣿⣶⣤⣤⣤⣀⣃⠀⠋⠀⠀⢀⢀⢘⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⡄⠀⠀⢻⣿⣿⣯⣽⣿⣻⣿⣿⣷⣦⣴⡿⠁⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡟⢱⡀⢀⠀⠙⣿⣮⣿⢿⣿⣿⢿⣿⠏⡱⢡⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠇⡯⣷⣴⡄⠀⠨⡛⡿⣿⣾⣿⠟⠁⣴⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠛⠛⢋⡝⠀⣁⢸⣿⣿⡄⠀⠀⠀⠒⠊⠀⢰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠁⠀⡇⠈⢻⣿⣿⣦⣀⣀⠀⢀⢔⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠹⣿⣿⣿⣿⠏⢡⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢐⢸⣻⣿⣿⣟⠃⠀⠃⠀⠈⠙⢿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⠛⠛⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠟⠋⠛⢿⣿⣿⣿⣿ ⣿⣿⣯⣿⡏⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡇⠀⠀⠀⠈⡷⣿⣿⣿ ⣿⣿⣿⣟⣧⣀⣀⣠⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⡠⣀⠀⣠⣟⣿⣿⣿ ⣿⣿⣿⣿⣿⣽⣫⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⣿⣿⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⢫⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⢯⣿⣿⣿ ⣿⣿⣿⣿⡰⠋⠃⣹⢻⠟⢿⣿⠿⢿⣿⡿⢿⣿⡿⢿⡿⡏⠹⡏⢧⣸⣦⣿⣿⣿ ⣿⣿⣿⣿⣿⣾⣾⣇⢸⢀⡏⢹⠀⣸⠹⡆⢸⠙⣇⢸⡇⢱⣼⣇⣸⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣼⣷⣧⣀⣿⣯⣀⣾⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿ ⠀⠀⠀⠀⠀⠀⠠⠦⠶⠤⠠⠤⠴⠠⠤⠄⠀⠢⠶⠶⠦⠦⠒⠰⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡴⢤⣄⣀⣤⠶⢦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡟⠀⠀⣀⣍⣿⣿⡷⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣿⠀⠀⢿⣟⣽⡈⠁⢀⣰⠟⠲⠴⠖⢻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⡾⠉⠉⠈⠛⠒⠚⠋⠁⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣸⣦⢇⡀⠀⠀⠀⣀⠀⣀⡀⣀⡤⢤⣀⣠⣄⣀⠀⢀⣤⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢯⠁⠙⠻⢷⠚⠓⠖⠛⠛⠙⠋⠁⠀⠀⠛⠉⠃⠙⠋⡟⠁⠀⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠈⣇⠀⠀⢀⣠⣤⣤⣆⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢨⣿⠀⠀⠀⠘⡆⠀⠘⢷⣘⡿⠛⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠹⢴⣇⠀⠀⠹⡄⠀⠀⠈⠀⠀⠀⠀⠀⠀⢠⣬⡧⣤⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣆⠀⠀⢳⣄⠀⠀⠀⠀⢀⣆⣰⣿⣛⣿⡖⠺⣷⠿⠛⠦⠴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡛⠂⠀⠈⠳⡟⠚⠓⠛⠉⣿⣟⣃⣻⣆⣀⣈⠳⣄⠀⠐⣿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⣀⠀⣧⠺⡇⠀⢶⡞⢯⡉⠁⠘⠂⠀⠀⠙⡆⠀⠀⠈⢿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⢹⣆⠸⣆⢰⢀⣶⠧⠤⣭⣶⣄⣀⣀⣀⠀⠀⠀⠀⠀⠨⠷⢶⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣠⡾⠹⠞⢻⣶⣤⡀⣿⡿⠺⠻⠿⢿⡀⠀⠀⠀⠀⠈⠉⠛⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡼⠛⠉⠀⠀⣠⣼⣶⡈⠻⣟⡷⣤⠀⠀⠀⠉⣳⣦⡄⠘⠒⠲⢦⠀⠀⠀⠀⠀⠀⠀⠀⢹⣤⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⠋⠁⠀⠀⠀⠀⣹⣄⠈⠏⠙⢳⣿⣿⠀⠀⢹⣟⠇⢼⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣷⠀⠀⠀ ⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠹⢤⣤⣀⠘⣇⢻⡸⡗⢾⣿⡛⠶⣓⡖⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣯⡀⠀⠀ ⠀⢰⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣦⣬⣿⣇⢹⡿⡿⠀⠈⣟⡟⢉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠁⠀ ⢠⡿⠁⠀⠀⠀⠀⠚⢻⣍⣙⣄⠀⠈⢳⣶⡶⢛⣤⠞⠻⠟⠿⠂⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀ ⠙⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠾⣍⣻⣿⣇⡾⠁⠀⣤⣆⡀⠀⠸⠟⠂⣴⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⢿⡿⠛⠓⠛⠃⠀⠘⣯⣽⠟⠀⠀⠀⣠⣄⠋⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠙⠋⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠚⠋⠉⠉⠈⢿⣦⣀⠉⠉⠛⠛⠶⢦⣤⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⣦⣴⣶⣶⣾⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣤⡾⠋⠀⠀⠀⡤⠀⠀⢲⠀⠀⠀⢠⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣯⠀⠀⠀⠀⢠⣧⠀⢶⠈⣧⠀⠀⠈⢧⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⣿⡆⠀⠀⠀⣾⢹⡀⢸⡆⠘⣦⠀⠀⠀⢳⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⣠⣶⣾⣿⣿⣿⣿⣿⠀⠀⢰⡏⠘⣧⠀⢿⡀⠸⣷⣄⠀⠀⠙⣿⡛⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀ ⢰⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⢸⡇⠀⢹⡄⠘⣿⣄⠹⣏⠳⣄⣀⣨⣿⣧⡀⠀⠘⢦⡈⠉⠉⠉⠙⣟⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⡿⢻⡇⣼⠁⠀⠀⣻⡶⠻⡟⢦⠙⣟⠛⠛⢧⣀⣹⣿⡷⢤⣀⠳⣄⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀ ⠘⢿⣿⣿⣿⣿⣿⠟⠀⣾⣇⢹⠛⠒⠛⢉⣳⡄⢻⡌⢳⣬⢷⣾⠛⣿⣿⣿⣷⣧⠉⠛⡾⢷⠄⠀⠀⠹⣆⠀⠀⠀⠀⠀ ⠀⠀⠉⠛⢿⡟⢹⡄⠀⢹⣻⣼⣴⡶⣿⣿⣿⡿⣄⢳⡘⢧⡀⢿⠆⣼⣿⣿⣿⣿⠉⠀⣧⠀⢶⠀⠀⣀⠹⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠈⣷⠀⢸⣿⣿⢹⣧⢸⣿⣿⠇⠈⠻⣷⡈⠳⣦⣠⣿⣿⡿⣿⢸⠀⠀⢿⠀⠸⡆⠀⢹⡧⣝⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠀⠸⡇⠈⣿⡽⣧⣀⣿⡿⠏⠀⠀⠀⠈⠳⡄⠈⠉⠉⣁⣠⣿⢸⠀⠀⢸⡀⠀⢻⣆⠀⢷⡈⠛⠷⠄⠀ ⠀⠀⠀⠀⠀⣿⢠⠄⠹⡄⣿⣇⠀⠉⣉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠙⠛⣿⣿⡀⠀⢸⣿⣄⠀⠹⣷⢤⣳⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⡿⣸⡀⢠⣿⣾⣿⡄⠐⡿⠟⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⣿⠀⣿⣿⡇⠀⢸⡏⢿⣷⣦⣬⣷⡌⠉⠀⠀⠀ ⠀⠀⠀⠀⢠⣧⡟⡇⣸⢻⡿⡟⣿⣄⠀⠀⠀⠀⠀⣤⣶⣿⡟⠋⣁⣤⠏⠀⣿⢏⣧⠀⢸⣷⣾⣧⡌⠙⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠟⠠⣧⣯⡟⣇⢳⣿⡻⢷⣄⣀⠀⠀⠈⠛⠻⠿⠛⠉⠁⢀⣰⣿⣿⣿⠀⢸⡟⠻⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⠋⠀⢀⣿⠏⡇⢹⡎⢿⣧⣼⢻⣽⣿⣷⣶⣶⣦⣤⣤⣤⣶⣿⡿⠋⠘⣿⡆⢸⡇⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠚⠁⠰⠷⠋⢳⡈⢿⣯⠀⠹⡿⠀⠛⠾⠙⢿⡿⠿⠛⠉⠀⠀⠀⠹⡇⢸⣧⡴⠖⠛⠉⠉⠉⡽⠻⣦⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡤⠼⢷⡘⣿⠶⠖⠒⠻⣶⣶⣶⡛⠃⠀⠀⠀⠀⠀⠀⠀⣷⢸⠏⠀⠀⠀⠀⠀⡼⠁⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠃⠀⠈⢷⣿⠓⠀⠀⠀⠈⠻⢿⣿⣷⣦⣤⣀⣀⣀⣤⣾⣿⣼⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⠷⠀⠀⠀⠀⠻⠿⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠛⠛⠉⠀⠁⠀⠀⠀⠠⠞⠀⠀⠀⠀⠸⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠚⠋⠉⠉⣁⠀⠀⠈⠳⣍⠙⠲⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⢀⣴⡶⠖⠀⠙⠛⢷⣄⠀⠀⠈⢣⡀⠀⠈⠳⣄⢠⣶⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣤⠋⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⣹⣄⡀⢀⣨⣿⣿⣧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⠃⠀⢰⡏⢀⡇⠀⢠⠀⠁⠀⠀⠀⠻⣇⠀⠀⠙⢿⣿⣿⣿⣿⣿⡿⡷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡏⠀⠀⣿⠀⠸⡇⠀⠀⠀⢠⡀⢀⠀⠀⢻⣇⠀⠀⠈⢿⣿⣿⡝⢿⣿⡄⠀⠀⠀ ⠀⠀⠀⣀⣤⣤⣄⡀⠀⠀⠀⢠⣴⣿⠁⠀⢸⡇⠀⢀⣧⠀⠀⠀⠈⣇⠘⣇⠀⠀⢿⣆⠀⠀⠀⠘⣟⠛⠉⠀⢳⠀⠀⠀ ⠀⣰⠟⠁⠀⠀⠈⣙⢦⡀⠀⠀⢉⡏⠀⠀⣸⠁⡶⠀⣿⡀⠀⠀⠀⠸⡄⢹⣆⠀⠈⣿⡄⠀⠀⠀⢹⣧⠀⠀⠈⢧⠀⠀ ⢰⡏⣠⢀⣤⡤⠜⢹⠟⢷⡶⠀⢸⠇⠀⠀⣿⢰⡇⢸⡏⣷⠄⠀⠀⠈⠻⣼⣧⣕⣦⣹⣷⠀⠀⠀⠈⣏⢧⠀⠐⣌⢧⡀ ⢸⡇⢹⡉⣸⡷⠦⠘⠆⢸⡇⠀⣼⢸⠂⠀⢿⣼⠽⣾⣿⡉⢧⣄⠀⠀⢀⣸⣿⣿⣿⠿⢿⡇⠀⠀⠀⢿⢸⡷⠄⣿⡝⠛ ⠀⢿⡈⢿⠛⠁⠀⠀⢀⡾⠁⢀⣟⡟⠀⠀⢸⡿⢿⣿⠿⣟⣏⠙⠓⠦⢬⣿⠏⠙⠓⣧⠘⣧⠀⠀⠀⢸⣧⣿⡄⣿⡇⠀ ⠀⠀⠙⢦⣤⣀⣤⡴⠞⠁⠀⠚⠋⣿⡀⠀⡘⡇⠸⡟⢀⢸⣿⠀⠀⠀⠀⠻⣄⣀⣴⢃⣴⡇⠀⠀⠀⢸⣿⡄⢸⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⣿⣟⠠⢽⣷⡞⠉⠀⠀⠀⠀⠀⠈⠛⠛⠉⣼⡧⠀⠀⠀⢸⣟⡇⢸⡿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣿⡽⡄⠀⠀⠀⠀⠀⣠⠴⠒⣷⠀⠀⠀⣴⣽⡏⠀⠀⢀⣼⣿⡇⣼⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠙⠻⢧⠙⠦⣄⣀⠀⠀⠙⠒⠛⠁⢀⣠⠴⣾⣿⠀⠀⠀⣿⠟⢹⣷⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⡄⠀⠀⠀⠈⠣⣿⣤⣉⣿⣟⣛⢛⣻⡏⠉⠀⡠⣿⢃⣀⡤⠞⠉⠀⠘⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣿⠛⡉⣯⢻⣷⠀⠀⠀⠀⠀⠈⠓⣠⣤⣾⣿⠿⣿⠁⡀⠀⠀⣿⡛⠧⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⡼⣧⢻⡿⣿⣇⠀⠀⠀⠀⢀⡞⠁⠙⢦⡀⠐⢿⠉⠉⢳⢞⣡⠭⠛⠛⠻⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⢻⡇⣷⣿⡛⢦⡀⠀⢠⢮⠎⠀⠀⠀⠙⠺⣬⣷⣴⣥⠤⠶⠒⣛⠛⠉⠉⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠿⣾⣿⣸⣿⣿⣧⣧⢰⣇⡞⠀⠀⠀⠀⠀⢰⣷⢤⡇⢀⠀⢀⡞⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⣀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀ ⠀⢀⣠⣄⣸⠿⣤⠙⢧⣉⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡞⢉⣿⣼⡇⠀ ⠀⠘⠛⢲⠈⣇⣜⢀⣮⠝⠀⡟⠀⠀⠀⠀⢀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⢥⣿⠿⣇⡸⠿⣅⡀ ⠀⠀⣠⢏⣉⣁⡨⠯⢕⣠⠞⠁⠀⠀⣠⠞⠋⠉⠀⠈⠉⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⣀⣧⣴⡷⠘⠿⢤⣾⣿⠗ ⠀⢸⠁⠀⢀⠤⢽⣮⢉⠉⡆⠀⠀⡼⠁⠀⠀⣠⣤⣄⠀⠀⠀⠹⡄⠀⠀⠀⠀⢰⠎⢀⣩⣽⣧⡤⠄⠘⢆⠀⠀ ⢠⣿⠓⠢⣅⠀⠀⠙⢀⡼⠀⠀⣠⡇⠀⠀⠀⠻⠿⠟⠀⠀⠀⠀⡗⠢⣄⠀⠀⠘⣆⠀⠋⠁⠈⠇⣀⣀⣸⡀⠀ ⣸⡛⣇⠀⠈⠙⣻⠋⠁⠀⢠⠞⠁⠹⣄⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠳⡄⠀⠈⠓⢤⡤⠤⠒⠁⢉⣷⡇⠀ ⣿⠇⠀⠀⠀⠀⣧⡆⠀⢀⣏⣀⠀⠀⠙⠳⣤⣄⣀⣀⣤⠴⠛⠁⠀⠀⠀⠤⣵⠀⠀⠀⣼⠇⠀⠀⠀⠘⣹⡅⠀ ⢱⠀⠀⠀⠀⠀⠹⢷⣆⡾⠋⣠⣤⣤⣀⠀⠀⠒⠙⠓⠒⠂⠀⢀⣤⣶⣶⣄⠈⢧⢀⣶⠟⠀⠀⠀⠀⠰⠛⡇⠀ ⠘⣇⠀⠀⠀⠀⠀⠘⢻⡇⠀⢿⣿⣿⣬⣷⣦⣄⣀⠀⣀⣠⣴⣯⣼⡟⣻⠏⠀⢸⠟⠃⠀⠀⠀⠀⠀⠀⣰⠃⠀ ⠀⠘⢆⠀⠀⠀⠀⠀⠘⣇⠀⠀⠛⢿⣛⣿⣧⣀⣿⣿⣿⠿⣏⣹⠿⠛⠁⠀⠀⡼⠀⠀⠀⠀⠀⠀⢀⣴⠃⠀⠀ ⠀⠀⠘⢷⠄⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠉⠉⠀⠀⠀⡀⢀⡴⠁⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀ ⠀⠀⠀⠀⣷⠄⠀⠀⠀⠀⠙⣿⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢾⡡⠋⠀⠀⠀⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠙⠲⣦⣄⡀⣀⠀⢀⣤⣤⣞⠁⠚⠀⠀⠀⡀⠀⠀⣴⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠀⣄⠀⠀⠀⠀⠉⠉⠙⠲⠻⠛⡽⠁⠀⠀⠀⠀⡼⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠘⣿⢄⡠⣄⠀⠀⠀⠀⠀⠘⠀⢀⠀⣀⣴⡟⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠒⠀⠈⠃⠙⠏⠓⢤⡀⠀⣄⣀⡴⡿⠞⠋⠋⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠙⢾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣤⡀⠀⠀⡟⠳⠤⢀⣀⣀⣀⣀⣀⠤⠤⠒⢦⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⠖⠒⠒⢄⡘⠳⡄⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡞⠀⣀⢴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⠒⠒⠒⣒⡲⣿⣶⣼⢲⡬⢧⡀⠀⠀⠀⠀⠀⠀⢰⣿⠽⢶⠊⢉⡝⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⢿⣦⡶⠟⢻⡓⢢⡙⣷⣷⣄⡈⢧⠀⠀⠀⠀⠀⠀⠈⠻⣽⡏⣯⡭⠗⠒⠒⠦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠙⠷⠬⢤⣌⣉⣉⣠⣼⠟⠛⣿⡆⠀⠀⠀⠀⠀⠀⠀⢸⡘⠾⠤⢀⣀⣀⣀⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠓⠤⠤⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠑⠒⠠⠤⠤⠖⠚⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠐⠒⢤⠤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⣁⠴⠂⠐⠳⡄⠀⠡⡀⠁⢆⣰⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⢰⢁⠀⠀⠀⠀⠹⡄⠀⠺⣦⣶⣿⡷⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⣻⠇⠀⡇⠘⠀⠀⠰⠠⡀⠸⡄⠀⠛⢿⠝⠷⡀⠀ ⢠⠊⠉⢉⣳⡄⠀⢹⠀⢸⢠⢈⡇⠀⠀⣃⢳⡀⢹⡄⠀⠸⣆⠀⢡⠀ ⡇⠂⢺⠅⠨⢹⠁⡈⠄⢸⡘⣼⡜⢄⠀⠈⣻⣿⡷⢧⠀⠀⡏⡦⢰⠳ ⠘⢜⠋⠀⣀⠞⢠⢿⠀⠘⡟⡿⢫⡍⠁⠒⡟⠉⡰⢸⠀⠀⢸⠓⣸⡇ ⠀⠀⠉⠉⠀⠀⠀⠈⣇⢰⡇⠵⠟⠁⠀⠀⠈⠛⠋⣽⠀⠀⢸⡃⡿⠁ ⠀⠀⠀⠀⠀⢀⣀⠀⠘⠿⡗⢄⡀⠀⠺⠥⠃⣀⢼⡏⠀⢰⠟⡧⠁⠀ ⠀⠀⠀⠀⣶⡿⢿⣷⠀⠀⠈⠳⡊⢛⣭⣭⠋⠀⢺⣥⠒⠉⠀⠁⠀⠀ ⠀⠀⠀⠀⢹⡴⡼⣿⣆⠀⠀⢠⡊⠻⣅⡸⡈⡲⠊⢔⣛⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠈⠷⣧⣻⣧⣃⢠⡝⠀⠀⠀⣽⣹⠈⢉⠔⠀⠀⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⢴⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⡄⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠄⢇⠀⠀⠀⠀⣠⠒⡐⢂⠀⠀⠀⣸⠩⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡄⢠⠊⣙⠕⠁⠰⢀⣁⠼⡙⠕⡎⠢⢈⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡄⣸⣰⢝⡎⠀⡆⠂⢐⣬⠉⢢⠈⣜⢪⣇⠠⢤⡀⠀ ⠀⠀⠀⠀⡠⠋⠀⡔⠩⢿⠀⠘⢦⣀⡨⢟⣀⣸⠀⣟⠣⠕⠒⡀⢡⠀ ⠀⠀⢀⢴⠁⠀⣜⡀⠀⠸⠀⠀⣀⢤⠒⣒⠺⠆⠀⡇⠀⢀⢤⠇⢀⡆ ⡀⠀⣘⣵⢀⢠⡦⠇⠀⠀⡇⣬⣧⣆⣣⣋⣃⣸⣤⠁⠀⢸⣴⠀⠈⡹ ⠻⡽⠭⢿⡟⢩⠁⠀⢀⡠⢗⠙⣉⣁⣒⡊⠒⡅⡎⠀⠀⠀⠑⠚⠚⠁ ⠀⠈⡩⢋⠕⣉⠄⢊⢡⠔⠈⣇⠀⠀⠀⠀⢀⡇⠃⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢤⣭⡰⠬⠒⢁⠔⠈⠀⠈⠉⠉⠉⠁⠀⠑⠤⠁⢒⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠃⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⢀⠏⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⢤⠤⡃⠀⠱⠀⠀⠀⠀⠀⠀⢀⣜⠀⡠⢦⠠⣄⠀⠀⠀ ⠀⠀⠀⠘⠣⠧⠤⠄⠀⠐⠁⠀⠀⠀⠀⠀⠘⠒⠒⠀⠘⠒⠛⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠒⢿⡏⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣷⠤⠒⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣾⣿⣿⣿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣿⣷⣶⣦⣤⣄⣀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⣷⣄⣀⣀⠀⠀⠀⠀⠀⠀⣿⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣿⣿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⠿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠠⠤⠾⢿⣿⠋⠀⠀⠀⠀⠀⢀⣤⣿⣿⡿⠟⠋ ⠀⠀⠀⠀⠀⠀⣀⣴⣾⣿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣤⣤⣤⣤⣀⣀⣀⡀⠀⠀⠀⠀⠉⠻⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠉⠉⠁⠀⢻⣧⠀⠀ ⠀⠀⠀⢀⣤⣾⣿⠟⠉⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⠾⠿⠛⠋⠉⠉⠉⠀⣀⣀⣀⣀⣉⣉⣉⠛⢷⡄⠀⠀⠀⠀⠈⠹⣿⣷⡀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣀⣀⣀⠀⠀⠀⠀⠻⠀⠀ ⠀⠀⣠⣿⡿⠋⠀⠀⠀⠀⠀⢀⣠⣶⠾⠟⠉⠁⠀⢀⣀⡤⠶⠖⢛⣉⣉⣭⡥⠴⠶⠷⠿⣿⣽⣿⠇⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⣿⠏⣀⠀⠀⠀⠀⢀⣶⠿⠋⠀⠀⢀⣠⠶⠛⢉⣠⡴⠖⠋⠉⠁⠀⢀⣠⣴⡶⠾⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀ ⣸⣿⠏⢰⡟⣰⢣⡆⣰⡿⠁⠀⠀⢀⡴⠋⣡⡴⠛⠉⠀⠀⠀⢀⣤⣶⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⠃⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⠀⢸⠀⣿⢸⡇⣿⡇⠀⠀⣰⠋⣠⡾⠋⠀⠀⠀⣠⣴⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣶⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⢀⣼⠏⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⣿⠀⠸⣧⢹⣎⠷⠘⢿⣦⣀⡏⢰⠏⠀⢀⣠⣴⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⡿⠛⢻⣿⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⣰⡿⠁⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⣿⣧⠀⠙⠃⠉⠀⠀⠀⠉⠙⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣻⠿⠋⠀⢀⡞⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⣰⡟⠁⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⡿⠗⠋⠁⠀⢀⣴⠏⣰⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠃⣰⡟⠀⠀⣀⣤⣿⣷⠖⠂⠀⠀⠀⠀⠀ ⠀⠀⠘⠿⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⡿⠛⠋⠉⠀⠀⢀⣠⠶⠋⣀⡴⠋⠈⣿⡄⠀⠀⠀⠀⠀⠀⢀⡾⠁⣰⠟⠀⠀⠀⠉⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠛⠿⣿⣷⣶⣤⣤⣄⣀⣀⣀⣤⣤⣶⣾⣿⠿⠛⠁⠀⠀⣀⣠⠴⠞⠋⣁⣤⠞⠋⣠⡆⠀⢹⣿⡀⠀⠀⠀⠀⢠⡿⠃⣼⡟⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢻⣿⠿⠿⠿⣿⣿⣯⡥⠤⠤⠶⠒⠛⠋⢁⣀⣤⠴⠞⢋⣀⡤⠞⢉⣴⠇⠀⢿⣧⠀⠀⠀⢠⡿⠁⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡛⠲⠶⠤⠤⠤⠤⠤⠤⠶⠖⠛⠛⠉⠁⠀⠀⠀⠘⣋⣠⠴⠛⣡⡾⠀⠈⣿⣆⠀⣰⡿⢁⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡴⠞⠋⣠⠆⠀⠘⣿⣶⡟⢁⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣠⡴⠟⠁⣰⠆⠀⣸⡟⢠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣁⣠⡴⠛⣁⡼⣿⠟⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢁⡴⠞⠉⣼⠏⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠃⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⢿⣿⠋⣴⡟⠁⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣷⣶⣶⣦⣤⣤⣤⣴⣶⣶⣶⡿⠿⠛⠋⠉⢠⣾⠃⣴⡟⠀⠀⠀⢀⣤⣿⣶⠖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⠟⠀⠀⠀⠀⠉⠉⠉⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣄⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠫⣦⡤⣄⣩⠤⠬⣁⠀⠈⠉⠑⠒⠠⢄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⣶⡆⠀⣤⠑⠦⠤⠼⠁⠀⢠⠖⠒⠢⢄⢈⣽⡦⢄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣛⣿⣏⠉⠑⢄⠀⠀⠀⠀⣘⠢⠤⣠⠼⠃⠉⣁⠀⠍⠢⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⢲⡟⠲⢤⣄⣀⡙⠓⠲⠶⠀⠀⠘⠧⣬⣞⠒⣻⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⢉⢿⣿⣿⣭⡟⠛⢁⠤⡀⠀⠀⢨⠟⢿⠒⠶⢶⣾⣾⢿⣾⢛⣾⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠀⣻⣦⣻⣿⣿⣁⠀⢻⣤⣇⣸⡄⠘⠶⠞⠁⢸⣁⣸⣿⣿⡿⣿⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⢧⡸⣮⠛⠛⠻⠿⢿⣿⣿⣙⣿⠋⠉⠓⣾⣦⣿⠚⠙⣿⣿⣿⣷⠏⠀⠀⠀ ⠀⠀⢀⣤⡶⢶⣾⠟⢉⣿⡿⢩⣇⠀⡼⣿⢾⡶⢄⠀⠀⠀⠈⠙⣛⣭⣷⣤⡴⣿⣿⣿⣶⣶⣿⣿⡿⠋⢳⡀⠀⠀ ⠀⢠⠟⣅⣠⣿⣃⡴⣯⣾⡿⣿⠻⢿⣅⣠⡾⠽⠒⠤⣀⠀⠀⠘⢧⣀⠈⠉⠛⢭⠉⢉⠟⠛⠛⢍⠀⣠⠜⡇⠀⠀ ⠀⢸⣀⣼⠞⢉⡥⣾⣿⢸⣵⣿⣴⣿⠿⠻⢤⣠⡴⣏⠭⣉⡳⠶⣤⣄⣭⣍⣚⡉⠀⠈⠑⠒⣶⣭⣶⣽⡾⠁⠀⠀ ⠀⠀⠉⢀⠴⡏⠀⣻⣿⣾⡿⠟⠉⠀⠀⠀⠀⠉⠒⠦⢶⣉⡴⠚⠁⣠⣾⠋⣩⡿⠶⢶⡟⢛⣿⠟⠛⣿⠀⠀⠀⠀ ⠀⠀⢰⠋⠳⣧⣴⣿⡿⠋⣀⠤⠠⡴⠒⣔⣲⣤⣤⣤⣤⣌⣉⣛⠛⠤⠥⢼⣋⣴⣶⣛⣄⣶⣷⠶⠞⢻⣆⠀⠀⠀ ⠀⠀⣼⣄⡠⢋⣿⣿⠒⢧⣼⣶⣶⣿⣟⠉⠉⣻⣿⣧⣽⣿⣿⣿⣿⣿⣶⣶⣲⡤⣤⣍⣁⠉⢯⣦⠀⠀⠹⣆⠀⠀ ⠀⣼⠃⠀⢠⣿⣿⣀⣟⣶⠟⢿⣟⣿⣿⣿⣿⣿⣿⣿⣿⠟⢿⣿⣿⣿⣿⣿⣿⣤⣼⣇⣼⣿⣿⣿⣧⠀⠣⢹⡆⠀ ⢰⡟⠀⠀⣎⣿⣿⠟⠻⣿⣤⣤⣿⣿⣿⣿⣿⠟⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣩⣿⣿⣿⣿⣻⣿⡆⢱⡇⣿⡀ ⣼⠃⠀⢸⣽⣿⣷⣀⣀⣼⠿⣤⣿⣿⣯⣬⡇⡀⠀⠀⢘⡿⠿⣿⣿⡟⠛⢿⣿⠿⠟⠉⢹⣿⣞⣿⣿⣼⣼⣿⢸⡇ ⣿⠀⠀⡏⣿⡟⣿⣿⣿⣿⣾⣿⣿⡿⢿⣿⡟⠙⢲⠖⢻⡧⣤⣿⣿⣧⣀⡜⢻⣿⣷⣶⣿⣿⢿⣿⣿⡏⡏⠹⣜⣷ ⣿⠀⠀⡇⣿⣿⣿⡿⣿⠋⠉⣙⠻⡷⣾⠋⠉⢲⣾⢷⣾⠿⠛⠒⠒⠻⣭⣟⣿⣿⣿⡟⠉⠙⣾⡿⣿⡇⡇⠀⢛⡿ ⢿⡀⠀⢷⣿⣇⡿⢷⡬⣽⠧⡀⢳⣸⢸⣦⣴⣿⠟⠉⠀⠀⣠⣴⡞⢛⠛⡛⠿⣯⡻⣿⣦⣾⣿⣿⣿⢷⠃⠀⢸⡇ ⢸⣷⡄⠘⣿⣿⡿⣦⡘⠾⣶⣷⠞⡼⢸⣻⣿⠋⡠⠊⠀⢲⡯⠀⣸⡟⣿⣧⡄⠈⢻⣿⣧⣿⣿⠛⡿⡼⠀⠀⣾⠃ ⠀⢿⣿⣄⢳⣿⣧⢻⣿⣤⡄⣿⠠⡇⡆⢿⡇⢰⣅⣀⣤⣼⣗⠒⠻⣿⣿⣿⠃⢀⣿⢧⢻⡏⠈⣹⣿⠃⠀⢰⡏⠀ ⠀⠈⣿⣧⣃⢻⣿⣷⡙⣿⣷⡘⡄⠻⠯⢼⣷⠀⢙⡏⠀⠀⠹⣗⢤⡀⠑⠘⢠⡾⠃⢸⢸⣿⣾⣿⠃⠀⢠⡿⠀⠀ ⠀⠀⠘⢿⣿⡣⡹⣿⣿⣮⣿⣷⡘⣄⠀⠀⢏⠓⡻⠁⠀⠀⠀⠀⠙⠛⠛⠛⠋⠀⣠⡎⣸⡿⡵⠁⠀⣠⡟⠁⠀⠀ ⠀⠀⠀⠈⠻⣿⣿⣮⠻⣿⣿⠉⢹⣌⠻⢷⣜⣦⡘⠦⠴⡺⣵⡤⠀⠀⠀⠀⠀⢀⣽⣵⡿⠋⠀⣀⣼⠋⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⢸⡤⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⠀⠀⠀⠈⠀⠀⢠⣄⣀⠀⠠⡄ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⣘⢂⣤⠴⠶⠒⠉⠉⠉⠤⢴⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠸⠥⣀⣧⣄⣀⡲⠶⠀⠘⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡳⠔⠬⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠊⢀⠩⢄⣂⡤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⢠⡶⠀⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣶⣾⡿⠿⠿⠿⣿⣿⠿⠿⠿⣿⣷⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡿⠿⠛⠋⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠈⠙⠛⠿⢿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠛⢿⡄⠀⠀⠀⠀⠀⠀⣀⣀⣠⣿⣿⣄⣀⣀⠀⠀⠀⠀⠀⠀⢀⡾⠛⢿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠟⠁⠀⠀⠀⢻⣄⣤⠶⠶⠛⠛⠋⠉⣹⣿⣿⣯⠉⠙⠛⠛⠶⠦⣤⣠⡿⠁⠀⠀⠈⠻⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⣠⡴⠟⠉⠁⠀⠀⠀⠀⢀⣾⣿⡿⢿⣿⣧⡀⠀⠀⠀⠀⠀⠙⠻⢦⣄⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⡿⠉⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠟⠀⠀⠻⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠈⢿⣦⠀⠀⠀⠀⠀⠀⠀ ⠙⠳⣦⣄⠀⢀⣼⡟⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⠋⠀⠀⠀⠀⠙⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⠀⠀⠀⢻⣷⠀⠀⣠⣴⠾⠋ ⠀⠀⠈⠙⠿⣾⣿⣄⣀⡀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⠃⠀⠀⠀⠀⠀⠀⠘⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣄⢀⣀⣠⣿⣷⠿⠋⠁⠀⠀ ⠀⠀⠀⠀⢰⡿⠉⠉⠛⢻⣿⣶⣤⣀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣷⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⡟⠛⠉⠉⣿⣇⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⣇⠀⠀⠀⣿⠁⠈⠛⢿⣷⣦⣀⡀⢀⣾⣿⣿⡇⠀⢀⣤⣤⣶⣶⣦⣤⡀⠀⠸⣿⣿⣷⡀⠀⣀⣴⣾⡿⠛⠁⠈⣿⠀⠀⠀⣸⣿⠀⠀⠀⠀ ⠀⠀⠀⢸⣿⠉⠛⠛⢻⡟⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⡏⠀⣴⡿⠛⠉⢀⡀⠉⠛⢿⣆⡀⢻⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⢹⡟⠛⠛⠉⣿⡇⠀⠀⠀ ⠀⠀⠀⢸⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣼⠋⣽⣿⣿⣿⠃⢸⡟⠀⢠⣾⣿⣿⣷⡄⠈⢿⣇⠈⣿⣿⣿⣯⠹⣿⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⣿⡇⠀⠀⠀ ⠀⠀⠀⢹⣿⠀⠀⠀⢸⡇⠀⠀⠀⠀⠘⣿⡀⢿⣿⣿⣿⡀⢸⣇⠀⠸⣿⣿⣿⣿⠇⠀⣸⡟⠀⣿⣿⣿⣿⢠⣿⠁⠀⠀⠀⠀⢸⡇⠀⠀⠀⣿⡇⠀⠀⠀ ⠀⠀⠀⢸⣿⠀⠀⣀⣸⣇⠀⠀⠀⠀⠀⣸⣿⣾⣿⣿⣿⡇⠈⢿⣧⡀⠈⠛⠋⠁⢀⣴⡿⠃⣸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⢸⣇⣀⠀⠀⣿⡇⠀⠀⠀ ⠀⠀⠀⠸⣿⡞⠉⠉⠉⣿⠀⠀⢀⣤⣾⡿⠟⠋⠙⣿⣿⣿⡄⠈⠙⠿⣿⣶⣶⣿⠿⠋⠀⢠⣿⣿⣿⠋⠉⠻⢿⣷⣦⣀⠀⠀⣿⠉⠉⠉⢻⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⢸⣧⠀⠀⢀⣹⣷⣾⠿⠛⠁⠀⠀⠀⠀⠘⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠋⠀⠀⠀⠀⠈⠛⠿⣷⣶⣏⡀⠀⠀⣾⡟⠀⠀⠀⠀ ⠀⠀⠀⢀⣬⣿⣿⠿⠟⠛⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣷⡀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠙⠻⠿⣿⣿⣥⡀⠀⠀⠀ ⢀⣠⡴⠟⠉⠘⢿⣆⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣷⡀⠀⠀⠀⠀⢀⣾⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠀⣰⣿⠁⠙⠻⢷⣄⡀ ⠋⠁⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠈⠻⣄⡀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣄⠀⠀⢠⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⢀⣠⠟⠁⠀⠀⠀⣴⡿⠁⠀⠀⠀⠀⠈⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠈⠳⣦⣄⠀⠀⠀⠀⠀⠀⠹⣿⣿⣦⣴⣿⣿⠏⠀⠀⠀⠀⠀⠀⣠⣴⠟⠁⠀⠀⠀⢠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⣹⠟⠶⣤⣤⣀⣀⡀⠈⢿⣿⣿⡿⠁⢀⣀⣀⣤⣤⠶⠻⣯⠀⠀⠀⠀⣠⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣷⣤⡀⣴⠏⠀⠀⠀⠉⠉⠉⠛⠛⠻⣿⣿⠟⠛⠛⠉⠉⠉⠀⠀⠀⠹⣧⢀⣤⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⢀⣤⣴⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠿⢿⣶⣶⣦⣤⣤⣤⣿⣿⣤⣤⣤⣴⣶⣶⡿⠿⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⣿⡟⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠠⠤⠄⠤⠤⠶⠤⠤⠤⢄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠴⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠲⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡾⠟⠁⠀⠀⠀⣀⡤⣤⣀⣠⠤⠦⠦⠶⠶⠶⠦⠤⠤⠤⣖⣦⣄⡀⠀⠀⠛⢯⡳⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⠗⠉⠀⠀⣠⣶⡿⡟⡍⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⢹⢻⣷⠄⠀⠀⢫⣮⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣼⠿⢿⡶⠀⠀⠘⠳⣧⣇⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⢼⡾⠛⠀⠀⠀⠀⣫⡿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⢀⣿⡃⠀⠀⠀⠀⠀⠉⠓⠿⢯⣭⠛⠒⠒⠒⠚⠛⠉⠉⠉⠉⠙⠋⠁⠀⠀⠀⠀⣀⡴⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⡟⢙⡿⠁⠈⠙⠲⢤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠤⠴⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠋⢀⠞⠀⠀⠀⠀⠀⢸⢹⠟⠉⠉⠉⠛⠛⠛⠓⠒⠒⠛⠛⠛⠋⠉⠉⠉⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⢠⠏⠀⠀⠀⠀⠀⠀⣿⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⣿⡿⢟⣒⢦⠤⣶⣄⣀⣀⣐⣀⣀⣠⡤⠴⢶⣶⣿⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⣰⢃⣀⠀⠀⠀⠀⠀⠀⠀⣿⢹⣆⠈⠙⠓⠒⠶⠶⠶⠶⠶⠾⠾⠿⠛⠻⠟⢻⠿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠁⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⢀⣀⣀⣀⣠⡀⠀⠀ ⠀⠀⠀⠀⢀⡼⠁⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣦⠶⠒⠛⠛⠛⢭⡍⠿⡏⠳⡄⠀ ⠀⠀⠀⢀⡞⠁⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠘⣦⢀⡀⢀⡀⠀⠀⠀⠀⠀⢹⣆ ⠀⠀⢠⡞⠀⢀⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠈⠻⠷⠚⠓⠒⠒⠒⠛⠉⠉⠉ ⠀⢠⣿⠃⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⢿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢾⣂⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⠇⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣀⠀⠀⠀⠈⠙⠒⠲⠤⣤⣤⣤⣤⣤⣤⠤⠤⠖⠒⠋⢉⢄⣶⠾⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠙⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⣽⠀⠀⠀⣤⣗⣷⣄⠀⢠⣤⣾⠏⠋⠀⠀⠀⠀⢀⡤⢾⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⢷⣪⣿⠏⠀⠀⠉⣹⠒⣦⢤⣤⠴⠚⠉⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣯⠞⠀⠀⠀⠀⢀⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣰⣢⠤⣤⣦⢠⢤⣶⢤⣤⠄⡀⡤⡤⠀⠠⡤⠤⡄⣶⡖⣴⣰⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⢤⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠒⢤⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⠟⠁⠀⣀⣤⡶⡦⠐⠒⠒⠒⠚⠛⠒⠒⠚⠷⣶⣄⡀⠈⠓⣽⢆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣛⣿⣥⡀⠀⠺⣿⡇⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣿⡟⠀⠀⠙⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢣⣿⠀⠀⠀⠈⠙⠻⠶⣖⠒⠂⠀⠐⠒⠒⠒⠊⠛⠋⠁⠀⠀⢀⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⢋⠟⠀⠉⠐⢦⣤⣄⣀⣀⣀⣀⠀⠀⢀⣀⣀⣀⣀⡠⢤⠔⠒⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠛⢀⠎⠀⠀⠀⠀⣾⠏⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡰⠁⢠⠏⠀⠀⠀⠀⠀⣿⣶⣤⣄⣠⣀⣀⣀⣀⣀⣀⣀⣤⣤⣶⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⠁⣠⠃⠀⠀⠀⠀⠀⠀⣿⣧⠈⠙⠒⠓⠤⠠⠴⠸⠞⠛⠻⠟⠿⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡀⢀⣀⣀⣠⡤⣤⡤⡀⠀ ⠀⠀⢀⠜⠀⡴⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⡉⠀⠀⠀⠙⠈⠁⠙⣄ ⠀⢀⡎⠀⡜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠙⠿⠼⠦⠶⠒⠒⠒⠛ ⢠⡿⠁⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠾⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⣧⠞⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⡄⠀⠀⢀⣉⠉⠙⢓⣲⡶⠞⠋⠉⠉⠀⣶⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠁⠀⢸⣟⣿⠇⠀⠛⢻⢤⣀⣀⡤⠒⢩⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⣰⣯⣊⣀⣁⣀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣠⣤⣠⣤⢀⣤⣄⣤⠀⢀⢀⠀⢀⣀⢠⣤⣤⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠦⣄⣤⠖⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠉⠻⣦⠀⢻⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢻⠀⠀⠀⠸⡄⠘⡄⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠈⠘⣇⠀⠀⠀⠹⣄⢻⡄⠀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠉⠀⠀⢉⡽⠶⡄⠀⠀⡖⠛⣲⣤⠐⣒⣫⣽⣿⣿⣿⣿⣷⣒⠤⣬⡷⠤⣤⡀⠈⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠛⡚⢋⠁⡀⢀⠀⢁⡨⠗⠉⠠⠤⣻⣄⣋⣥⣄⣀⠀⠀⠘⠃⢸⠋⠀⠀⠀⠈⠷⠀⠀⠀⡀⠻⣌⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠃⠘⠀⠃⢀⡴⠋⠀⠀⠀⣀⠼⠻⠚⠋⢝⠛⠿⣧⡄⠀⠀⠘⢧⣄⣀⡀⠀⠀⠀⠀⠀⠈⢳⡘⢆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠋⠀⠀⠀⠀⠀⠵⠋⡗⢦⡀⠈⠉⠳⠌⠻⡆⠀⠀⠀⠉⠉⠙⢷⣤⠀⠀⠀⠀⠀⣧⠘⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠾⠟⢻⠳⣤⡀⠀⠀⠈⣠⠇⠀⠀⠀⠀⠀ ⠀⢀⣠⡤⠶⠚⠛⠛⠉⠛⠲⢶⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢈⡓⠀⠉⢷⠒⠚⠁⡀⠀⠀⠀⠀⠀ ⢰⡟⢁⠀⠀⠀⠀⠀⠀⣀⡤⠶⠶⢦⣝⣦⡀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡟⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣦⣌⠑⠀⠘⡄⠸⠀⠃⣌⣀⡀⠀⠀ ⢸⡰⠁⠀⠀⠀⠀⢀⣰⠏⠀⠀⠀⠀⠀⠉⢽⡄⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣷⣄⠉⠒⠤⢄⣀⣀⣀⣀⣀⣠⣴⡾⠁⠈⠧⠀⠀⣧⠀⠀⠀⠈⢧⡉⠳⡄ ⠈⠛⠦⠤⠤⠔⣾⠋⠙⢦⣀⢀⣠⠞⠀⠀⠀⢣⠀⠀⠀⢰⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣄⡀⠀⠀⠀⠈⢡⣿⣿⠋⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠈⠳⢤⡼ ⠀⠀⠀⡆⢸⠀⢧⣀⠀⠀⣀⠟⠻⣄⠀⢀⣠⡟⠀⠀⠀⢀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣾⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀⠀⠀⠆⠀⠃ ⠀⠀⠀⠀⠀⠀⣿⠉⠉⠉⠉⢳⠀⠀⠉⠉⣵⠃⠀⠀⠀⠘⠀⢻⡄⠀⡀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⢀⠇⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡌⠓⠦⣤⡴⠋⠀⠀⣀⡴⠁⡄⠀⠀⠀⢰⠀⡸⣧⠀⢱⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠇⠀⠀⡆⢉⠓⡞⠋⠁⡆⠈⠇⠀⠀⠀⠀⠀⡁⢻⣆⠀⢣⠀⠀⠀⠀⠀⠀⢸⠉⠉⠻⣿⠿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠈⠀⠈⠀⠀⠀⠀⠀⠀⠀⠇⠀⢻⣆⠀⠳⡀⠀⠀⠀⠀⢠⣦⠀⠀⢹⡄⣹⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⡹⣧⡀⠑⠀⠀⠀⠀⠀⠙⠽⢶⣦⣶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠈⠻⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⢋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠙⠧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠚⠁⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠉⡓⢒⠠⠤⠤⠤⠤⠤⠤⠐⠚⠏⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠇⠀⠀⠃⠘⠀⠀⠘⡀⠘⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡟⠉⡙⠿⢟⣛⡷⠶⣤⣄⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⣱⣄⠀⠀⠈⠀⠀⠈⢉⣛⣶⣤⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠶⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⡇⠙⢷⠀⠀⠀⠀⣴⠟⠉⠀⠈⠁ ⠀⠀⠀⠀⠀⣠⡴⠾⠋⠡⠰⣴⡏⠀⠀⠀⣠⣤⣤⣶⠞⠛⠿⣿⢿⠛⠛⠳⢶⣤⣀⠀⢀⣿⠀⠃⠀⠀⠳⣄⠀⢠⡇⠀⠀⠀⠀⠀ ⠀⠀⢀⡴⠛⠉⠀⠀⠀⢀⠎⠀⣷⣄⣴⡏⣀⣼⣿⣿⡇⢀⠀⠈⣇⢳⠀⠀⠀⠀⠉⠳⣾⣯⠃⠀⠀⢀⣀⡈⢳⠀⣿⡀⠀⠀⠀⠀ ⢀⣴⣫⠴⠒⠒⠒⠲⣤⡀⠀⠀⢈⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⡀⡟⠘⠆⠀⠀⠀⣀⣴⡿⠃⣠⡶⠛⠋⠉⠛⠛⢷⣼⣧⠀⠀⠀⠀ ⠚⠋⠀⠀⠀⠀⠀⠀⣺⡴⠛⢶⣾⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⢣⠇⠀⠀⠀⢠⢿⡏⠉⠀⡰⢿⡆⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⠁⠀⢸⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⢠⠟⠀⠀⠀⠀⠀⠘⠛⠉⣹⠇⠘⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠈⠉⠀⠀⠀⠀⠀⠄⣱⠏⣰⠇⠀⠀⠀⠀⠀⢠⣾⡏⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢧⡀⠀⠀⠀⠂⢈⡤⢞⡡⠚⠁⠀⠀⠀⠀⠀⠀⢸⡿⠀⢰⣻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠙⠛⠲⠶⠒⠛⠉⠒⠉⢀⣀⣀⠀⣀⠀⠀⠀⠠⠟⠁⣠⢏⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠈⣶⣤⣄⣀⣰⣿⣿⣿⣿⣮⣣⡀⠀⠀⢠⢞⠏⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⣾⠿⠶⡼⠇⠀⠉⠛⢿⣿⣿⣿⣿⡿⡿⠗⠀⠀⠕⠋⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠀⠀⠀⠀⣀⣀⣀⠀⠙⢿⣿⣿⣷⠀⠀⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⠉⠉⠉⠙⠻⣾⣿⣿⠏⠀⠀⢀⡄⠈⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⢠⣤⣤⣀⣠⣾⠟⣉⠔⠂⠀⢼⠇⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣠⡾⠃⠘⢦⡀⠈⠙⠒⠈⠁⠀⠀⠀⠉⠀⣄⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⣿⠉⠀⠈⠉⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⣀⠀⠈⢾⣷⡀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢱⡀⠀⠀⠀⠀⠀⠀⠀⣀⡾⠉⠢⠀⣀⠴⠒⠉⠀⡀⠀⠀⠉⠙⠛⠛⠉⠉⠀⠈⠙⠲⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠖⠛⠉⠁⠀⠀⢀⡞⡁⠀⠀⠀⢸⣿⢳⢠⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠈⢳⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠉⠀⠀⡀⠤⠀⠂⠀⠀⣼⢰⠃⠀⢀⠀⣠⡥⠶⢧⣤⠤⠴⠒⠛⠉⠁⠀⠉⠻⣦⡀⢻⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⢠⠟⣿⠛⠛⠛⠛⠛⢻⣾⠀⠀⠸⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⣸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⡀⠸⠄⢿⡀⠀⠀⠀⠀⠈⢿⡀⠀⠙⠲⠿⠷⠶⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⢸⡅⣾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⣀⠙⠦⣄⠀⠀⠀⠀⠙⠦⣤⣤⣤⣤⣤⣄⡀⠙⢦⡀⠀⠀⠀⠀⢀⣼⠗⣸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡆⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠟⠀⠀⢠⡇⠀⠀⠀⠀⠀⠙⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠚⣋⡼⠃⠀⠀⠀⠀⠀⠀⠀⢾⣁⣀⣀⣠⡴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⡀⠀⠀⠀⡀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠋⠻⠛⠛⠙⠫⠛⠹⠃⠘⠙⠙⠟⠓⠀⠀⠸⠩⠂⠀⠛⠛⠛⠛⠟⠛⠛⠙⠂⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠶⠿⠿⠿⠿⢶⣶⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⢸⣅⠉⠙⠓⠒⠤⡍⠛⠛⠿⣶⣤⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⢀⢼⡦⡀⠀⠀⠀⠀⠀⠀⠀⢀⣈⣭⣿⣶⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡴⠶⣶⡖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⢸⠀⠙⢮⡢⠀⠀⠀⠀⠀⣴⡟⠋⠁⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⠟⢋⣡⣄⣰⡿⠀⠀⠀⠀⠀⢀⣀⣀⣤⣴⣶⣿⣿⡿⢶⡶⠶⣶⣶⣤⣄⡀⠀⠀⠀⠀⣿⠇⠸⠇⠀⠀⠙⢦⡀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣴⠾⠛⠁⠒⠁⠀⢀⡞⠙⣧⠀⠀⢀⣴⠞⠛⣽⣿⣿⣧⠀⠀⠀⠙⣧⡙⡄⠀⠀⠀⠙⠛⠿⣦⣄⢰⡿⣰⠀⠀⠀⠀⠀⠀⠙⢦⠀⠘⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠾⠋⠁⠀⠀⠀⠀⠀⢠⡎⠰⡔⣽⣷⣴⣿⣅⡤⣶⣿⣿⣿⡿⠀⢦⠀⠀⠸⡇⢹⡄⠀⠀⠀⠀⠀⠀⢙⣿⢧⠏⠀⠀⣀⣀⣤⣤⣄⣀⣳⠀⢻⣇⠀⠀⠀⠀⠀⠀ ⠀⣠⠞⣡⠴⠖⠛⠉⠛⠒⠶⣦⡀⠀⡀⠀⢀⣿⣿⣿⣿⣷⣿⣿⣿⣿⠇⠀⠈⠃⢀⢀⡇⠘⠇⠀⠀⠀⠀⠀⢠⡾⣧⠏⠀⣴⡾⠟⠉⠉⠉⠉⠙⠻⢷⣌⣿⡆⠀⠀⠀⠀⠀ ⢸⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⣿⢠⡾⢶⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠟⣼⠁⠀⠀⠀⠀⣠⠞⡿⡛⠚⠁⢀⡾⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠏⠀⠀⣾⣿⣿⣿⣿⠿⣿⣿⡿⠃⠀⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠋⢀⣧⡤⠤⢤⡼⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⣿⠛⠿⣿⡷⠾⠟⠉⠀⠀⠀⠀⠀⡀⣰⠏⢀⡀⠀⠀⠀⠀⠀⠈⠉⡀⣠⣼⠃⢀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⢊⡴⠋⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⣾⣝⡅⠀⣿⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⣧⠀⠀⡀⠀⠀⠠⠔⠚⣀⡴⠋⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⣽⡯⠂⢠⠇⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠓⠬⣷⣤⣁⣀⣀⣤⠴⠟⣋⠴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠂⠀⡼⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠀⠀⠀⠈⠉⢉⡁⠀⠀⠀⠀⠀⢀⣴⣶⣶⣦⣀⢦⡀⠀⠀⠀⠐⠉⠀⣠⣾⠃⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⢀⣾⣷⣶⣤⣀⣰⣿⣿⣿⣿⣿⣿⣷⡙⣦⠀⠀⠀⢀⡾⣱⠃⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⣾⡿⢷⣦⣼⠟⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠀⠐⣭⠚⠃⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⢀⣤⣶⠶⠶⠶⢦⣤⣀⣹⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠴⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⡿⠃⠀⠀⠀⢴⣇⠀⢰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣠⣤⣤⣄⣀⣠⣾⡿⠋⣠⠞⠃⠀⠀⢾⠇⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡇⠀⢿⣄⠈⠉⠙⠩⠥⠒⠋⠀⠀⠀⠀⠀⠛⠀⣄⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢶⣿⠟⠓⠒⠺⠛⠋⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⣄⡀⠀⠀⠀⠀⠀⣀⣤⠖⠀⠀⠈⠻⣿⣦⣀⣀⣀⣠⣤⡤⠤⠤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⠂⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡼⠋⠈⠙⠀⢀⡤⠖⠋⠁⠀⠀⡀⡀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠉⠳⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⣀⣠⣴⠶⠾⠛⠋⠁⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⡻⢻⢻⡇⣰⠀⠀⠀⠀⠀⡀⠀⢀⣀⣀⡀⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠋⠁⠀⠀⠀⣀⠀⣠⠆⠀⠀⢰⠏⣴⠀⠀⠀⠀⠀⠃⠇⣁⡵⠃⠀⠀⢃⣉⣠⡶⠾⠟⠋⠉⠙⠷⣦⣀⠀⠹⣧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⡤⣒⣋⣭⣤⣤⣤⣤⣤⣾⢀⠇⠀⠀⢰⡄⣴⠾⠋⠉⠉⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡆⠀⢹⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⡼⠋⣹⡏⠀⠀⠀⠀⠀⠀⢸⣼⡀⠀⠀⣘⠇⢿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠃⢠⣼⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡀⠀⢳⡄⢻⣇⠀⠀⠀⠀⠀⠀⠀⢿⣇⠀⠀⠈⠳⠬⠿⠷⠶⢦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⢲⡟⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠁⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠙⢦⣀⡀⠀⠀⠀⣀⣀⡀⠀⠉⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠘⡷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢦⣄⠉⠳⣦⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠛⢻⣷⠃⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠺⣿⣡⣾⠇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠛⠁⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⠞⠋⣁⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣀⢀⣀⣀⣴⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠶⠞⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣀⢀⣠⣠⡀⣀⢀⣀⣠⣄⣀⣀⣀⡄⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⡤⣠⡄⢤⢠⢤⣀⡀⣠⢠⢤⣀⣄⡤⣤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢛⢛⢘⠘⠘⠏⠁⠈⠃⠃⠳⠛⠒⡛⠂⠘⠂⠐⡙⡘⠘⠀⠁⠀⢛⠀⠋⠐⠈⢋⠉⠋⠛⢛⠚⠉⠛⠙⠁⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Trump was in hiss office in white house when biden showed up. Trumps eyes widen and he blushes. Biden wasn’t wearing any clothes. “T-trump-kun…?” he blushes as well, putting his litle hands in front of his throbbing manhood. Trump stares at Biden for a couple seconds, feeling his meat candle growing hard. “y-yes, kitten joe…?~” Trump says in a seductive voice, Biden giggles at the name. When he giggles his ass jiggles and Trump observers that. when he sees Biden,s fat gyatt jiggle he ekjacukates hard in his pants, letting out a loud moan. Biden gasps and then ejaculates as well. his ejaculation shoots all over the walls and floors. Biden falls down to the floor from the force of his ejaculate. he is a moaning mess as he twitches and shakes . he can not speak. only moan, Trimp comes up to him and then started stroking his manhood, staring at Biden on the ground. he ejaculates immediately and then he falls as well. obama comes in after a while too see the two gay men ejaculating over and ober again on the floor. when trump sees him he yells “NI-“ but then he’s cut off by a loud crash, it was abraham lincon. he was there to save the day. “fear not for i am here.!” lincon says as he whips ou his cock. he then uses his teleport to the eifil tower all of them where he observes that there were two gay men ther. one had brown hair and bandages while the otyer was ginger. the brown haird ones ass was impaled on the top of the eifel tower ejaculation all over him. lincon decides that it was a good idea so once the brown haird guy gets off the eifil tower spike he picks up Trump, impaling his ass on the spike. Trump yelled in pain but then started moaning and immediately ejaculates. observing Trumps ejaculation, biden and obama ejaculate as well, it falling down on to a nother gay man who moans and ejaculates as well. then every gay man started ejaculating because lincon was broadcast the whole thing and all were watching it. then lincon ejaculates and it goes into the sky and lands into a french guys baget and the ejaculation was poisonus so when the fucking stupid ass french man takes a delicate bite , he starts choking on the ejaculation. he then fucking dies. moral of the story is fuck the french.🇨🇵🥐🥖🗼🌿
💟(>'-'<)💫🐸🐢💛⸜(。˃ ᵕ ˂ )⸝♡≽^•⩊•^≼⋆。‧˚ʚ🍓ɞ˚‧。⋆જ⁀➴𓆝 𓆟 𓆞 𓆝 𓆟⋆˙⟡♡⋆。゚☁︎。⋆。 ゚☾ ゚。⋆📝
⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⡊⠉⠁⠀⠀⠀⠀⠀⠀⢸⢂⠀⠀⢀⠀⠀⠀⢸⣿⠂⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢤⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠈⠆⠀⠾⠷⠤⠀⠈⠉⠀⠀⣾⠵⠛⠀⠀⠀⠀⢀⠴⡺⠁⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⢁⣼⣆⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⣇⣠⣤⡄⠀⠀⣶⣶⣄⢸⢰⠀⠀⠀⠀⢀⣴⡔⢊⡟⠒⠢⡀⠀⢀⡴⠋⣰⣿⣿⣿⣆⠀⠀⠀⢇⠀⠀⠀⠀ ⠀⠀⠀⢿⢿⣿⡟⠀⠀⠿⡿⠏⢸⢸⠀⠀⢀⣴⠉⣿⡄⢮⠄⠀⠀⣧⡴⠋⠀⣼⣿⣿⣿⣿⣿⡄⠀⠀⠘⡄⠀⠀⠀ ⠀⠀⠀⢸⠀⠉⠀⠀⠀⠀⠀⠀⢸⠘⡠⠖⠁⠘⡄⠈⢻⡚⢲⡄⣀⠟⢇⢀⣾⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠱⡀⠀⠀ ⠀⠀⠀⠸⢤⡤⠤⡤⠤⠖⢲⣤⠚⠋⠀⠀⢀⡴⠻⠔⠋⠀⢾⠟⠋⠀⠘⢆⠹⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⢳⠀⠀ ⠀⠀⠀⠀⢸⠔⠚⣗⠪⠏⠚⠁⠀⠀⠀⡠⠋⠀⠀⠀⠀⠀⠀⠱⣄⠀⠀⠈⢦⡈⠻⡿⠟⠉⠀⠀⠀⣀⠤⠚⠉⠀⠀ ⠀⠀⠀⠀⣼⠆⠀⢈⣦⠀⢀⣀⡀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⢸⠉⢲⠒⠒⠊⠉⠛⡝⡅⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠹⠀⣆⡞⠀⠣⡸⡀⢃⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⢸⠀⢸⠀⡦⡀⠀⠈⠉⠸⡄⠀⠀⠀⠀ ⠀⠀⢀⡏⡄⡀⡸⠁⢰⠁⠰⠹⡌⣆⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⢸⠀⡧⠎⠀⠸⡀⠀⢱⡀⠀⠀⠀ ⠀⠀⣸⠀⡇⢳⠃⣦⣤⣤⠔⠿⡘⣜⡄⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⢸⠀⡇⠀⠀⠀⢇⠀⠀⢃⠀⠀⠀ ⠀⢠⡇⢸⢁⡇⢀⡡⠀⠀⠀⠀⠱⡜⠛⠂⠙⠤⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠘⡀⣗⢚⡆⠀⠸⡀⠀⠈⡆⠀⠀ ⢠⠏⠓⡞⣼⡇⠀⠉⢣⠀⠀⠀⢰⡈⡳⢄⠀⠀⠀⠈⠑⠢⢄⡀⠀⠀⠀⠀⡇⠀⠀⡇⢸⠁⠀⠀⠀⠇⠀⠀⢹⡀⠀ ⢸⣦⣀⣧⡿⡇⠀⠀⡆⢣⠀⠀⠀⣧⢿⣤⡝⡦⣀⠀⠀⠀⠀⠉⢢⠀⠀⢸⠁⠀⠀⠃⠸⣇⡀⠀⠀⢸⣠⠞⠉⢳⡀ ⢸⢠⠈⣿⡇⡇⠀⠀⣿⣏⡆⠀⠀⢹⠋⠉⠉⠒⠬⠕⢦⣀⠀⠀⢀⠀⠀⢸⠀⠀⠀⢠⠐⡗⠋⠀⠀⠀⢱⡀⠀⣠⠇ ⠈⠙⠪⢿⡎⡇⠀⠀⡏⠀⢡⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠈⠳⣀⠞⠀⠀⢸⠀⠀⠀⠈⣆⣀⣀⣀⣀⣀⣈⡎⠉⠁⠀ ⠀⠀⠀⠈⢻⡇⠀⢠⠃⠀⠸⡀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠸⠶⢺⠉⠉⢩⢻⡅⠀⢼⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⡄⠀⢸⠀⠀⠀⡇⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⢸⠀⡇⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠗⠒⣾⠀⠀⠀⢸⠤⠤⠼⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⠀⢹⠀⠈⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢦⡤⠤⡽⠀⠀⠀⠈⣆⣀⡠⢌⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⣸⠀⠸⡀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠎⠀⠀⡇⠀⠀⠀⠀⢸⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⠀⡇⠀⠀⡇⠀⠉⠢⡀⠀⠀⠀ ⠀⠀⠐⠛⠤⠤⠤⠇⠀⠀⠀⠀⠘⠤⠤⠤⠤⠤⠷⠀⠀⠀⠀⠀⠀⠀⠀⠐⠓⠒⠒⠒⠃⠀⠀⠘⠒⠒⠒⠺⠇⠀⠀
(\ (\ („• ֊ •„) ━O━O━━━━━━━━━ ・:。𝐢𝐧𝐯𝐢𝐭𝐚𝐭𝐢𝐨𝐧「 ✉️ 」・:三 ━━━━━━━━━━━━━ https://discord.gg/xqKFzgus94
⋆.˚🦋༘⋆This should be an app!⋆.˚🦋༘⋆
EMMA YOU KNOW WHERE TO MEET ME AFTER SCHOOL I KNOW I WILL WIN 🤬🤬🤬🤬🤬🤬🤬
EMMA HOW DARE YOU STOLE MY MANZZZZ AND NOW YOU CAN EAT💩💩HAVE FUN WITH HIM IDCCCCC
. ݁₊ ⊹ . ݁˖ . ݁💭⋆.ೃ࿔*:・
JAKEYYY IKK YOU LIKE ME BETTER BOO BOO BEAR 🌸🌸💋💋🍷🍷🍆🍆
YOU CAN ROT IN FIRE YOU LITTLE S1UT IDCCC HE LIKED ME EVEN MOREEE EMMAA!!!!! I HOPE YOU FAL DOWN A FLIGHT OF STAIRSSSS🤬🤬🤬🤬

Warning: This item may contain sensitive themes such as nudity.

why did i see a nsfw fanfic of trump and biden on here .. BRO IM DONE 💀💀
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This is for sure one of my favorite websites! It's so cute and fun and easy to use! Cute˚˖𓍢ִ໋🌷͙֒✧˚.🎀༘⋆
🌺: Hi! One ticket to...? You: I'm going to Hawaii! 🌺: Alright, please place your luggage here! You: *places luggage(s)* 🌺: *gives ticket* I hope you'll have a wonderful flight.... Wait.... You: What happened? 🌺: You're all alone? You: Yeah 🌺: You should bring a loved one with you. You: But I don't have the money- 🌺: *gives another free ticket* There you go, enjoy it with someone you love and hold dearly. 🎫 You: Who do I give it to? *goes to someone you love*: You're the one!!!! 💘 (Send this to someone you love or appreciate!)
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