Uwu Text Art

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣿⣿⡆⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⣾⣿⡆⠀ ⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⢰⣿⡆⠀⣾⣿⡆⠀⣾⣷ ⣿⣿⡇⠀⠀⣿⣿⡇⠀ ⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⠘⣿⣿⣤⣿⣿⣿⣤⣿⡇⢻⣿⡇⠀⠀⣿⣿⡇⠀ ⠀⠀⠀⣿⣿⡇⠀⠀⢸⡿⠀⢹⣿⣿⣿⣿⣿⣿⣿⠁⢸⣿⣇⠀⢀⣿⣿⠇⠀ ⠀⠀⠀⠙⢿⣷⣶⣶⡿⠁⠀⠈⣿⣿⠟⠀⣿⣿⠇⠀⠈⠻⣿⣶⣾⡿⠋⠀⠀
⡆⣐⢕⢕⢕⢕⢕⢕⢕⢕⠅⢗⢕⢕⢕⢕⢕⢕⢕⠕⠕⢕⢕⢕⢕⢕⢕⢕⢕⢕ ⢐⢕⢕⢕⢕⢕⣕⢕⢕⠕⠁⢕⢕⢕⢕⢕⢕⢕⢕⠅⡄⢕⢕⢕⢕⢕⢕⢕⢕⢕ ⢕⢕⢕⢕⢕⠅⢗⢕⠕⣠⠄⣗⢕⢕⠕⢕⢕⢕⠕⢠⣿⠐⢕⢕⢕⠑⢕⢕⠵⢕ ⢕⢕⢕⢕⠁⢜⠕⢁⣴⣿⡇⢓⢕⢵⢐⢕⢕⠕⢁⣾⢿⣧⠑⢕⢕⠄⢑⢕⠅⢕ ⢕⢕⠵⢁⠔⢁⣤⣤⣶⣶⣶⡐⣕⢽⠐⢕⠕⣡⣾⣶⣶⣶⣤⡁⢓⢕⠄⢑⢅⢑ ⠍⣧⠄⣶⣾⣿⣿⣿⣿⣿⣿⣷⣔⢕⢄⢡⣾⣿⣿⣿⣿⣿⣿⣿⣦⡑⢕⢤⠱⢐ ⢠⢕⠅⣾⣿⠋⢿⣿⣿⣿⠉⣿⣿⣷⣦⣶⣽⣿⣿⠈⣿⣿⣿⣿⠏⢹⣷⣷⡅⢐ ⣔⢕⢥⢻⣿⡀⠈⠛⠛⠁⢠⣿⣿⣿⣿⣿⣿⣿⣿⡀⠈⠛⠛⠁⠄⣼⣿⣿⡇⢔ ⢕⢕⢽⢸⢟⢟⢖⢖⢤⣶⡟⢻⣿⡿⠻⣿⣿⡟⢀⣿⣦⢤⢤⢔⢞⢿⢿⣿⠁⢕ ⢕⢕⠅⣐⢕⢕⢕⢕⢕⣿⣿⡄⠛⢀⣦⠈⠛⢁⣼⣿⢗⢕⢕⢕⢕⢕⢕⡏⣘⢕ ⢕⢕⠅⢓⣕⣕⣕⣕⣵⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣷⣕⢕⢕⢕⢕⡵⢀⢕⢕ ⢑⢕⠃⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⢕⢕⢕ ⣆⢕⠄⢱⣄⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢁⢕⢕⠕⢁ ⣿⣦⡀⣿⣿⣷⣶⣬⣍⣛⣛⣛⡛⠿⠿⠿⠛⠛⢛⣛⣉⣭⣤⣂⢜⠕⢑⣡⣴⣿
⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⣟⣿⠿⠛⠛⠋⡉⠍⡐⢠⠠⡐⡈⠌⣉⠙⠛⠛⠽⣿⣛⢽⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣻⠟⠛⠉⡀⡀⠆⡁⠆⡁⠆⡐⢁⠂⠔⡁⠊⢄⠊⠔⡠⢂⠀⠉⠛⢾⣝⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠖⠉⡉⠁⠄⡌⠂⢄⠁⠒⡀⠒⡈⠔⠠⠌⡐⠢⢠⠁⠆⢨⠐⠄⠢⠡⠌⠰⢀⠈⠛⢮⣷⣆⠀⠀⠀⠀⠀⠀⡀⠀ ⠀⠀⠀⠀⠀⣠⣾⡗⠁⢂⠐⡉⠐⠠⢁⠂⠌⠡⠐⠡⠈⠌⣁⠂⠄⡑⠠⠌⠒⠠⠌⡐⢁⠢⢈⠁⢢⢈⠐⡀⠉⠻⣷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⡽⠋⡀⠎⠠⠁⢄⣡⡾⠀⠌⢂⠡⢃⠡⢉⡐⠈⠻⣷⣤⣁⣂⣡⠈⠔⡈⠄⠒⡈⠌⣀⠢⢁⠤⢁⠂⠒⢾⢧⡀⠀⠈⠀⠀ ⠀⠀⣠⣿⡟⠁⡐⢠⣨⣤⡷⠿⠋⠠⢁⡘⢀⠢⠄⠂⠅⡠⢁⠂⠄⡈⢉⠉⡉⢁⠂⡐⠌⠡⢐⠂⠄⢂⠄⠢⢐⠈⡐⠈⠡⣳⡀⠀⠀⠀ ⢠⣴⣿⠟⢠⠂⠄⢋⠉⠠⠐⠠⢈⠄⠡⠐⡀⠢⢈⠒⠠⢁⠢⢈⢐⣤⣦⡶⠷⠾⠶⢦⣌⡐⠈⠄⡉⠤⢈⡐⠨⠐⠄⡁⢂⠡⠹⡄⠀⠀ ⣿⢟⡾⠀⠂⠌⡐⠠⠈⠄⡁⠂⠄⡈⠆⣁⠂⡑⠠⢈⢂⡁⢂⣶⣿⣵⣶⣶⡶⠀⠀⠀⠈⠛⢾⣄⠄⠡⠂⠤⢁⡘⢀⠒⠠⢀⠡⠀⠀⠀ ⣿⣾⠃⡈⢐⣠⡶⠷⢛⣷⣺⣷⣤⡐⠈⢄⠒⣈⠁⢂⠤⢘⣵⣿⣿⢿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠉⢷⣆⠡⠌⢠⠐⠂⠌⢒⠠⠀⠀⢣⡄ ⣿⡇⠐⢠⡾⠋⢀⣴⣿⣿⣿⡟⠉⠻⣆⡀⠒⡄⠨⠄⠒⣼⣿⣿⢯⣿⣿⠀⠀⠀⠂⠄⠀⠀⠀⠀⠀⠹⣦⠐⠠⠌⢂⢁⠢⠄⠡⠀⠰⣿ ⢻⡅⢨⡿⠁⢠⣿⣿⣿⡿⣽⣿⠀⠀⠙⣧⠐⠠⠑⡈⣼⣿⣿⣯⣿⣟⣿⣧⡀⠀⠀⠀⣤⡀⠀⠀⠀⠀⠹⣧⠐⡈⠄⢂⠰⢈⠐⡀⡆⡿ ⢻⡄⣿⠁⠀⣼⣿⣿⡿⣽⣿⢿⣷⣄⣀⣹⣇⠠⠑⡄⣿⣿⣿⣾⣯⣿⢯⣿⣿⣿⣷⣿⣿⠄⠀⠀⠀⠀⠀⢹⡇⠠⠈⠄⠂⡄⠡⠀⡇⡇ ⣹⢾⡇⠀⠀⣿⣿⣿⡿⣿⣽⣿⣻⣿⣿⣿⣿⣀⠣⢰⣿⣿⡟⠉⠛⢿⣿⣯⣿⣿⣿⣿⣿⠀⠐⠀⠀⡐⠀⠰⣟⠠⢁⠊⡐⠠⢁⠂⡄⣇ ⣿⡞⡇⠀⠀⢻⣿⣿⠿⠿⣿⣾⣟⣷⣿⣿⡏⣷⢉⡚⣧⢻⣧⡀⠀⣸⣿⣿⣿⣿⣿⣿⠇⠀⠠⠀⡀⢀⠀⢘⣏⠀⢂⡐⢈⠁⢂⠀⠐⣿ ⣿⣧⡷⠀⠀⠈⣿⣧⡀⠀⣼⣿⣿⣿⣿⡿⠁⣿⠢⠉⣿⡀⠻⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠁⠀⠀⠀⠀⢸⡇⠈⢄⡐⠠⢊⠀⠀⢸⠷ ⣿⣹⣿⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⠟⠁⠀⣿⠀⠁⠘⣧⠀⠀⠙⠛⠛⠛⠛⠁⣠⣀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠈⡀⠠⢁⠂⢨⣴⡏⠁ ⠉⢿⡽⣆⠀⠀⠀⢀⡶⣯⠉⠛⠉⠀⠀⠀⢰⡏⠀⠌⠐⠘⣧⠀⠀⠀⠀⠀⠀⣾⠉⠉⢷⡄⠀⠀⠀⠀⣾⠁⢄⠣⠌⡑⢠⣸⢟⡞⠀⠀ ⠀⠸⣿⡹⣦⡀⣠⡟⠁⢸⡇⠀⠀⠀⠀⢠⡟⠀⠠⠁⠂⢀⠘⢳⣄⠀⠀⠀⠀⣿⡀⢀⠀⠛⢦⣄⡀⣼⠇⡈⢆⡑⢂⡁⢢⢯⡟⠀⠀⠀ ⠀⠀⣾⣿⣿⠿⠋⢀⠐⣺⣧⣤⠶⠶⠶⠛⠈⠳⣶⠋⠉⠁⠉⠀⠉⠛⠛⠛⠒⠛⠻⠀⠄⢂⠀⠈⠙⠻⣦⡈⠔⡈⠄⣼⣻⡟⠈⠀⠀⠀ ⣬⣿⣻⠏⠁⡀⠤⠀⠄⠀⡀⠀⡀⢀⠀⠄⣐⣠⠿⢦⣄⣂⣈⡀⢁⡠⠀⠄⢂⠐⢀⠈⠠⠀⠌⡐⠠⢀⠈⠻⣦⡘⣛⣽⠋⠀⠀⠀⠀⠀ ⣿⣷⠏⠀⠐⡀⠂⠌⢀⠂⠄⠁⢰⡶⠾⠛⠋⠁⡀⢀⠈⠉⠁⠉⠉⢹⡇⠀⠂⠌⡀⠄⠁⡐⠠⠀⡁⠂⠄⠀⠉⣿⣻⡇⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠄⠒⡀⢁⠂⠠⢈⠀⠌⣼⡗⠀⠐⠠⠁⡐⠂⠠⠁⡘⠠⠐⠈⢿⡄⠐⠠⢀⠂⠁⡐⠀⡁⠐⠈⡐⠈⢀⢸⣿⡇⠀⠀⠀⠀⠀⠀ ⣼⡅⠀⠌⠐⡀⢂⠀⠡⢀⠂⠀⣽⣿⣶⢤⣆⣐⠀⠀⡁⠠⠀⠄⠁⠠⠘⣧⠈⠐⠠⢀⠁⠄⡐⢀⠁⠂⠄⠁⢀⣾⣻⡇⠀⠀⠀⠀⠀⠀ ⣿⣷⡀⠈⠐⡀⢂⠈⠄⠠⠀⢡⣿⣿⠉⠳⠾⢭⣿⣻⣶⣶⡶⠦⡼⠴⢦⣾⣄⠉⠀⠂⠈⡀⠐⠀⠈⠠⣐⣨⣾⣻⠏⠀⠀⠀⠀⠀⠀⠀ ⠿⣶⣿⣤⣴⣤⣤⣤⣦⣴⣬⢾⣷⡏⠀⠀⠀⢀⢀⡉⢉⠉⠙⣛⢛⡟⣻⣿⣽⣿⠛⠶⠷⡶⠳⠟⣿⣿⣯⣽⣿⡉⠀⠀⠀⠀⠀⠀⠀⠀
⠁⠀⠀⣴⣾⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠬⠀⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⡄⠄⠀⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⣋⣭⣀⡀⢀⠀⠁⠀⠀⠀⠀⠀⠂⠀⠐⠀⠀⡀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⣷⡀⠁⠠⢀⠀⠀⡀⠀⢀⠃⠀⠊⠂⠁⠀⠀ ⠀⠀⢀⣼⣿⣿⣿⣿⣿⡏⠚⠐⠈⠀⠀⡀⠀⠀⠰⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⢀⠀⢀⠀⠀⡀⠈⠀⠀⠄⠀ ⢠⣾⣿⣿⠉⣿⣿⣿⣿⣿⡔⠀⢀⣠⣤⣤⣀⠊⡇⠈⠀⠀⠀⠂⠀ ⠀⠙⣿⣿⣧⣿⣿⣿⣿⣿⡇⢤⣿⣿⣿⣿⣿⣧⠀⡂⠂⠈⠀⠀⠀ ⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣷⠿⣿⣿⣿⣿⣿⡿⠀⠀⡂⠁⠀⠀⠀ ⠀⠀⠀⢠⢚⠿⢿⣿⣿⣿⣿⡅⠽⠻⠿⢿⠛⢉⠀⠀⠨⠂⠀⠀⠀ ⠀⠀⠀⠅⠄⠈⠃⡟⣩⣟⢿⠀⠥⣠⣶⣶⣦⡀⠀⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠅⠀⠀⠀⣷⡝⣿⣦⣠⣾⣿⣿⣿⣿⣷⡀⠀⠁⠀⠀⠀⠀ ⠀⠀⠀⠢⠁⠀⠀⣿⣿⣮⢻⣿⠟⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢈⢀⠃⠀⣿⣿⣿⡇⠀⠀⠻⠿⠻⣿⣿⣿⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⠙⠈⠀⢰⣿⣿⣿⠇⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠇⠁⠀⣸⣿⣿⣿⠀⠀⠀⡀⠀⠀⣠⣾⣿⣿⣿⣿⠇⠀⠀ ⡀⠈⠀⠀⠀⠀⢸⣿⣿⡿⠀⠀⠀⢀⣴⣿⣿⣿⣿⣟⣋⣁⣀⣀⠀ ⠀⠀⠀⠀⠀⠀⠹⣿⣿⠇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇
pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
AI Story Generator
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠛⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⣠⣶⣶⣄⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⣀⣶⣿⣿⣿⣿⣿⣆⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠁⢀⣤⣶⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⢀⣠⣾⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠋⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠈⠉⠉⠙⠛⠛⠻⢿⣿⡿⠟⠁⠀⣀⣴⣿⣿⣿⣿⣿⠟⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⣉⣡⠀⣠⣴⣶⣶⣦⠄⣀⡀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⡿⢃⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣾⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⣠⣾⡟⢡⣾⣿⣿⣿⡿⢋⣴⣿⡿⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⢡⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⣼⣿⡟⣰⣿⣿⣿⣿⠏⣰⣿⣿⠟⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢚⣛⢿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⠸⣿⠟⢰⣿⣿⣿⣿⠃⣾⣿⣿⠏⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣾⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠻⠻⠃⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢉⣴⣿⣿⣿⣿⡇⠘⣿⣿⠋⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡘⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⣿⣿⣿⣿⠁⢀⣀⠀⢀⣾⣿⣿⣿⣿⣿⣿⠟⠉⠉⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣀⣤⡀⠀⠈⠻⢿⠀⣼⣿⣷⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠟⠛⠙⠃⠀⣿⣿⣿⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡿⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠟⠁⢀⣴⣶⣶⣾⣿⣿⣿⣿⣶⡐⢦⣄⠀⠀⠈⠛⢿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢀⣼⡿⢛⣩⣴⣶⣶⣶⣶⣶⣶⣭⣙⠻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿ ⣿⠁⠀⣴⣿⣿⣿⣿⠿⠿⣿⣿⣿⣿⣿⣦⡙⠻⣶⣄⡀⠀⠈⠙⢿⣿⣷⣦⣤⣤⣴⣿⡏⣠⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣌⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠁⠀⢸⣿⣿⣿⠋⣠⠔⠀⠀⠻⣿⣿⣿⣿⢉⡳⢦⣉⠛⢷⣤⣀⠀⠈⠙⠿⣿⣿⣿⣿⢸⣿⡄⠻⣿⣿⠟⡈⣿⣿⣿⣿⣿⢉⣿⣧⢹⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿ ⣿⠁⠀⢸⣿⣿⡇⠠⡇⠀⠀⠀⠀⣿⣿⣿⣿⢸⣿⣷⣤⣙⠢⢌⡛⠷⣤⣄⠀⠈⠙⠿⣿⣿⣿⣿⣷⣦⣴⣾⣿⣤⣙⣛⣛⣥⣾⣿⣿⡌⣿⣿⣿⣷⣤⣀⣀⣀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠁⠀⢸⣿⣿⣷⡀⠡⠀⠀⠀⣰⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣦⣌⡓⠤⣙⣿⣦⡄⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠁⠀⢸⣿⣿⣿⣿⣶⣤⣴⣾⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣷⠀⣶⡄⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢃⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠁⠀⢸⣿⣿⣿⣿⣿⠟⠻⣿⣿⡏⣉⣭⣭⡘⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⡇⢸⡇⢠⡀⠈⠙⠋⠉⠉⠉⠉⠛⠫⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠁⠀⢸⣿⣿⠛⣿⣿⣀⣀⣾⡿⢀⣿⣿⣿⢻⣷⣦⢈⡙⠻⢿⣿⣿⣿⣿⣿⣿⣿⠀⣿⡇⢸⡇⢸⣿⠀⣦⠀⠀⠶⣶⣦⣀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠁⠀⢸⣿⣿⣦⣈⡛⠿⠟⣋⣤⣾⣿⣿⣿⣸⣿⣿⢸⡇⢰⡆⢈⡙⠻⢿⣿⣿⣿⠀⢿⡇⢸⡇⢸⣿⢠⣿⡇⣿⡆⢈⡙⠻⠧⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠁⠀⠀⣝⠛⢿⣿⣿⣿⣿⣿⣿⠟⣁⠀⠀⢈⠛⠿⢸⣇⢸⡇⢸⡇⣶⣦⣌⡙⠻⢄⡀⠁⠘⠇⠘⣿⢸⣿⡇⣿⡇⢸⡛⠷⣦⣄⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡆⠀⠈⠳⢶⣤⣍⡉⠉⣩⣤⣤⡉⠻⢶⣤⣀⠂⠀⠉⠘⠇⢸⡇⣿⣿⣿⣿⣷⣦⣍⡑⠢⣄⠀⠈⠈⠻⠇⣿⡇⢸⣿⣷⣾⣿⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣦⣄⡀⠈⠉⠛⠶⢄⡉⠻⠿⣷⣦⣌⡙⠷⢶⣄⡀⠀⠈⠁⠙⢿⣿⣿⣿⣿⣿⣿⣷⣦⣍⡒⠤⣀⠀⠈⠃⢸⣿⣿⣿⣿⣷⠀⢸⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⡀⠀⠈⠉⠂⠄⢙⣿⣿⣷⣦⣈⠙⠳⢦⣄⡀⠠⠈⠛⠿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣌⡐⠄⢸⣿⣿⣿⣿⣿⡇⠀⣿⠿⣿⣿⣿⣿⣷⣌⠻⣿⣿⣿⡿⢰⣦⣤⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣄⡀⠀⠀⠀⠉⠛⠛⠛⠿⠷⣤⣈⠛⠷⢤⣈⡂⢄⡉⠻⠿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣌⡛⠿⣿⣿⡇⠀⢿⣷⣌⡛⠿⠿⠏⣼⣷⣤⣉⣉⣀⣼⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠀⢀⣤⣶⣦⣤⣤⣄⡈⠙⠻⠖⠀⣉⣩⣤⣤⣤⣤⣤⣤⣀⡈⠉⠙⠻⣿⣿⣿⣿⣶⡄⠉⠀⠀⣸⣿⣿⣿⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⣾⣿⣿⣿⣿⣿⣿⣿⠀⠀⣴⣿⣿⣿⣿⣿⠟⣩⣽⣿⣿⣿⣷⣦⣀⠀⠙⢻⣿⣿⠇⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⠏⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠉⠻⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠘⣿⣿⡿⣡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢟⣦⡀⠀⠸⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢀⣀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⢀⣙⣟⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣘⣛⣻⣦⢀⣀⣙⣛⣛⣛⣛⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ me on Monday
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⡀⠈⠑⢆⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⢲⡀⠈⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠱⣤⡀⠀⢳⣄⠀⢠⡀⠀⠱⡀⠀⠀⠀⠀⢳⠈⠳⢄⠁⣤⡤⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣿⣝⣦⡀⢹⡦⡀⠙⢦⡀⢱⠀⠀⠀⠀⠘⣇⠀⠀⠻⣿⣉⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⠠⠀⡆⠀⠀⠀⠀⠀⠀⣸⠇⠀⠀⢻⡏⠻⡗⡄⢳⠈⢦⡈⢟⠢⣇⠀⠀⠀⠀⢹⡄⠀⠰⣿⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠇⠀⣇⢰⠀⠀⠀⠀⠀⢠⡟⠀⠳⠦⢼⣧⣄⣱⡼⡤⡧⠜⠿⣶⢷⠾⡤⠠⠀⠀⠈⡷⡄⠀⠹⣇⠀⠀⠀⠀⠀ ⠀⠀⡆⠀⡄⢸⣇⠀⣸⡆⠇⢀⣴⠃⢀⡞⠀⠀⡄⠀⢸⠀⠀⠀⢣⡸⡇⠀⠀⠈⢿⠀⠃⠀⠀⢸⠀⢸⠈⢂⠀⢿⡀⠀⠀⠀⠀ ⠀⠀⢧⠀⢇⢸⠙⡆⠸⣿⣾⠟⠁⠀⡜⠀⠀⡸⠀⣰⣼⠀⠀⣀⣤⣤⣵⣶⣶⠶⢾⣷⡀⠀⠀⡎⠀⠘⡀⠐⢆⠸⡄⠀⠀⠀⠀ ⠀⠀⢸⡆⠸⣼⠀⢸⡴⠟⢿⢣⡀⠀⠀⠀⢠⠃⢰⡿⣿⠀⠸⠛⢉⣿⠭⠷⠚⠁⠀⠀⡇⢸⢀⠃⠀⠀⡇⡄⠈⢳⣇⠀⠀⠀⠀ ⠀⠀⠈⣷⡄⢹⡖⠉⣧⠆⠈⢇⢙⣬⣠⠀⡌⢀⣞⠁⡏⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⣰⢇⡼⠂⢀⠄⢸⡗⣮⣦⡀⢫⠀⠀⠀⠀ ⠀⠀⠀⢻⣟⠀⢳⡀⢛⣠⣴⣿⡛⠛⠈⢻⡥⠯⢤⣉⡳⢄⡀⠀⠀⠀⠀⠀⠀⢀⡴⠗⠋⡇⢀⣾⠃⢸⡆⡇⢹⢻⣌⡇⠀⠀⠀ ⠀⠀⢆⠈⡎⠀⣠⣿⠿⢛⣩⠝⠛⠙⠀⡟⠁⠀⠀⡇⠀⠀⠈⠀⠀⠀⠀⠀⠐⠁⠀⠀⢰⢃⣾⡏⠀⣾⡟⠀⣾⡀⠉⢿⠀⠀⠀ ⡀⠀⠈⢢⠘⣄⡿⢁⡈⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣾⢿⠁⢰⡷⣧⡴⢩⠃⡀⡜⡀⠀⠀ ⠱⡄⠀⠀⠱⣜⣅⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⢸⢠⢋⠇⣼⠓⢼⣇⠈⣧⡄⠀⠀ ⠀⠙⣆⠀⠀⠈⠛⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⢸⠏⣸⠟⢸⡄⠀⠉⢦⠀⠀⠀⠀ ⠀⠀⢸⣦⠀⠀⠐⠢⢬⣓⣀⣀⣀⠀⠀⠀⠀⠀⠀⢰⣿⣷⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠈⢀⡟⠀⢸⢇⠀⠀⠀⠑⠀⠀⠀ ⠀⠀⣸⡙⠳⣜⣦⣄⡀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿⠿⠛⠈⠉⣀⠹⣷⠀⠀⠀⠀⠀⢀⡎⢱⠀⣸⠘⣴⠀⠀⠈⠀⠀⠀ ⠀⠀⢿⡌⣦⣈⠻⡟⢌⢷⣒⠪⠓⠒⠄⠀⠀⠀⠀⢸⡟⠃⠠⠤⠔⠊⠁⠀⡟⠀⠀⠀⠀⢀⠞⠀⢸⠀⣟⣀⣻⣤⠖⠂⠀⠀⠀ ⠀⠘⣮⠈⠎⢆⠑⠻⠬⣿⣏⣳⣄⠀⠀⠀⠀⠀⠀⠀⠑⢄⣀⣀⣀⡠⠴⠊⠀⠀⠀⠀⣠⠋⠀⠀⠈⡄⢹⠿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢆⠀⢸⠀⠀⠀⣠⡿⢆⡀⠉⢢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠖⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⣿⣼⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣦⣀⡠⠔⠋⠁⠀⢸⣷⡀⠀⣧⡉⠓⠢⣄⣀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡞⠃⠀⠀⠀⠀⠀⢹⡇⠙⠆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⠓⠒⠒⠂⠒⠋⠛⠛⣇⢰⢿⣷⣄⠀⠈⠻⣿⣷⣶⣤⣤⣶⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⢀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⢀⠀⠀⠘⣎⡆⢿⡌⢦⠀⠀⠈⠙⠻⠿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡏⠛⠫⠤⢄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⢸⡇⠀⠁⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠤⠤⣾⠇⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡴⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠀⠀⠀⠀⠀ ⠀⠀⠀⠚⠁⠀⠳⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠋⠈⢧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡆⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⢸⣧⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀ ⠒⠒⠂⠀⢿⡆⢀⣀⣴⠏⠀⠀⢾⡀⠀⣧⠀⠀⡇⠀⠈⣷⣄⠀⢀⣰⠃⠀⠈⠉⠉⠁ ⡤⠖⠀⠀⠈⠙⠛⠋⠁⠀⠀⠀⠈⠷⠿⠙⠳⠞⠃⠀⠀⠈⠻⠷⠛⠁⠀⠀⡈⠑⠢⡄ ⠀⢠⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀ ⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡏⠉⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿ ⣿⣿⣿⣿⣿⣿⠀⠀⠀⠈⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⣿ ⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠙⠿⠿⠿⠻⠿⠿⠟⠿⠛⠉⠀⠀⠀⠀⠀⣸⣿ ⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⢰⣹⡆⠀⠀⠀⠀⠀⠀⣭⣷⠀⠀⠀⠸⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠈⠉⠀⠀⠤⠄⠀⠀⠀⠉⠁⠀⠀⠀⠀⢿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⢾⣿⣷⠀⠀⠀⠀⡠⠤⢄⠀⠀⠀⠠⣿⣿⣷⠀⢸⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡀⠉⠀⠀⠀⠀⠀⢄⠀⢀⠀⠀⠀⠀⠉⠉⠁⠀⠀⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⠀⠀⠀⠀⠘⣿⣿⣿⠀⠈⢿⣿⣿⡆⠀⠀⠀⢰⣿⣿⣿⠀⠀⠀⠀⣸⣿⡿⠀⠀⣿⣿⣿⡆⠀⠀⠀⠀⣿⣿⣿⡆ ⢸⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠸⣿⣿⣷⠀⠀⠀⣿⣿⣿⣿⡆⠀⠀⣰⣿⣿⠃⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⡇ ⢸⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⢹⣿⣿⣇⠀⢰⣿⡿⢿⣿⣿⠀⢀⣾⣿⡏⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⡇ ⢸⣿⣿⡿⠀⠀⠀⠀⢀⣿⣿⣿⠀⠀⠀⠚⣿⣿⣿⡄⣿⣿⡇⠘⣿⣿⡇⢸⣿⣿⠃⠀⠀⠀⣿⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⡇ ⢸⣿⣿⣷⠀⠀⠀⠀⣸⣿⣿⣿⠀⠀⠀⠀⢸⣿⣿⣷⣿⣿⠁⠀⢿⣿⣷⣿⣿⡇⠀⠀⠀⠀⣿⣿⣿⡅⠀⠀⠀⢰⣿⣿⣿⡇ ⠘⣿⣿⣿⣦⣄⣤⣴⣿⣿⣿⣿⠀⠀⠀⠀⠈⢿⣿⣿⣿⠃⠀⠀⠘⣿⣿⣿⡿⠁⠀⠀⠀⠀⢿⣿⣿⣷⣤⣠⣴⡿⢿⣿⣿⡇ ⠀⠘⠿⢿⣿⣿⡿⠟⠀⠿⠿⠿⠀⠀⠀⠀⠀⠸⠿⠿⠿⠀⠀⠀⠀⠿⠿⠿⠇⠀⠀⠀⠀⠀⠈⠻⠿⣿⣿⡿⠟⠁⠸⠿⠿⠇
⠀⠀⣀⣤⠶⠶⠶⠶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⡾⠋⠀⠀⠀⠀⠀⠀⠈⠙⠳⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⠛⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⡶⣴⣤⣄⡀⠀⠀⠀⠀ ⠈⠻⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⡄⠀⠀⠀⠀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀ ⠀⠀⠈⠻⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠙⢷⣄⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀ ⠀⠀⠀⠀⠀⠉⠛⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⠶⠿⣿⣦⠗⠛⠒⣦⣀⠀⠀⠀⠐⠀⠐⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⡇⠀⢠⡇⠀ ⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠘⠇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⣇⠄⠀⠀⠀⠀⠀⠀⠀⣠⡿⠀⠀⠐⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠹⣤⡀⢰⠞⠉⢳⡄⠠⣾⠁⠀⠀⠀⠀⠀⠀⠀⢛⢶⣤⣀⣀⣀⣤⡴⠟⠃⠀⠀⠀⠀⣿⠁⠀ ⠀⠀⠀⠀⠀⠀⠠⡏⠀⠈⠓⡶⠊⠀⠀⠘⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠰⣸⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣧⣀⣀⣠⡾⢦⣤⣤⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⠀⠈⠉⠁⠀⠀⠀⣀⣀⡀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀ ⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⡴⠒⠒⣞⣁⡠⠽⠭⢄⣈⣳⣊⡉⠲⣄⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀ ⠀⠀⠀⠀⢸⡇⠀⡴⠋⢙⡵⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠳⢤⣀⣳⠤⢤⡀⠂⠀⠀⠀⠀⠀⠀⠐⢺⡇ ⠀⠀⠀⠀⢸⡇⡮⢇⡾⠁⢠⣶⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣄⢹⣄⡀⠀⠀⠀⠀⠀⠀⠈⡇ ⠀⠀⠀⠀⠸⣿⡁⣼⠀⠀⣾⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣀⠀⠈⠳⣄⢹⠦⠀⠀⠀⠀⠀⠀⣟ ⠀⠀⠀⠀⠀⠻⡟⢿⠀⠀⠈⠛⠉⠀⠀⠀⠀⣤⠤⣄⠀⠀⠀⠀⠀⣸⣿⣿⣧⠀⠀⠙⣎⠳⡆⠀⠀⠀⢸⢰⡏ ⠀⠀⠀⠀⠀⠀⠱⣜⣆⡤⠦⠤⣄⠀⠀⠀⠀⠛⠒⠋⠀⠀⠀⠀⠀⢻⣿⣿⡏⠀⠀⠀⢸⣤⠇⢣⠀⢠⢄⡾⠁ ⠀⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠐⣾⠀⠀⠀⠀⠀⣤⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢸⠃⡃⠁⠠⣠⡾⠁⠀ ⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⣼⣦⣤⣠⠦⢄⠙⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢿⡞⣡⣤⠾⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠸⣿⠉⠀⣹⣀⣙⣿⠏⠁⡽⠶⠤⣤⣤⣤⣤⣤⣴⡾⠅⠚⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⣀⠀⠈⠛⣿⠿⣌⡝⠝⡍⣘⣧⣀⣀⣀⣀⣤⣴⣶⣾⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣳⡶⢻⠷⣮⣤⣤⣽⣥⣬⣭⣿⣿⢿⡖⠋⠉⠉⢳⡝⢧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⣠⢺⣥⣧⣽⢂⡄⠀⠓⠀⠈⢻⡄⠀⠀⠀⠀⣿⣭⣧⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣋⠴⢺⠥⠚⠁⠀⠘⠦⣽⡒⢤⣄⣀⣼⢳⣤⡀⠀⠼⠃⣠⣷⡗⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠯⠜⠉⡏⠀⠀⠀⠀⠀⡄⣧⠉⠙⠲⣾⣯⣯⣏⣳⣶⣴⣾⣻⣉⣽⣵⡦⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠸⠄⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⣿⢄⠀⠀⠀⠀⠀⠀⠀⠉⢉⣽⡶⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠟⢦⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢸⡀⠙⠒⠢⢴⣉⡦⠔⠚⠋⢸⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠦⠽⣉⣙⣟⠛⣛⠻⢿⠞⠿⡟⠿⣻⠛⣧⠀⠀⠀⠀⠁⠀⠀⠀⢀⡎⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣉⣉⣻⣿⣃⠙⢍⣫⣁⠉⠉⠉⣉⣩⣿⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣤⣉⣉⣿⡀⠉⠛⠛⠧⠜⠛⠛⠛⠉⢡⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠾⠶⠶⠶⠶⠞⠳⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣷⣄⠀⠀⠀⠀⠀⣠⣾⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣦⡀⠀⠀⠀⠀⣰⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣠⣤⣤⣤⣀⠀⠈⢿⣿⣿⣷⣦⣤⣴⣾⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠘⢿⣿⣿⣶⣤⣶⣿⣿⡿⠋⠀⢀⣠⠴⠒⠒⠒⠢⣄⠀⠀ ⠀⢀⡴⠋⠁⠀⠀⠀⠀⠈⠓⢦⡀⠉⠻⠿⣿⣿⡿⠿⠟⠉⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡆⠀⠀⠀⠀⠀⠈⠛⠿⠿⠿⠟⠋⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠹⣄ ⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⢀⣤⣄⠀⠀⣸⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣦⣠⣾⣿⣿⣷⣶⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠋⠙⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎ ⠀⠙⠦⠀⠀⠀⠀⠀⠀⣠⠴⢋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⣤⡀⠀⠀⠀⠀⡤⠔⠋⠀
⠀⠀⠀⠀⠀⠀⢀⣠⠤⠔⠒⠒⠒⠒⠒⠢⠤⢤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀ ⠀⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀ ⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀ ⠀⡇⠀⠀⠀⢀⡶⠛⣿⣷⡄⠀⠀⠀⣰⣿⠛⢿⣷⡄⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⢸⣷⣶⣿⣿⡇⠀⠀⠀⢻⣿⣶⣿⣿⣿⠀⠀⠀⢸⠀ ⠀⡇⠀⠀⠀⠈⠛⠻⠿⠟⠁⠀⠀⠀⠈⠛⠻⠿⠛⠁⠀⠀⠀⢸⠀ ⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀ ⠀⠀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣚⡁⠀⠀ ⠀⠀⠀⠀⠈⠙⠒⢢⡤⠤⠤⠤⠤⠤⠖⠒⠒⠋⠉⠉⠀⠀⠉⠉⢦ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⣤⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⢸ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⢠⣿⠀⠀⠀⢸⠀⠀⣿⠀⠀⠀⣸ ⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⢸⠘⡆⠀⠀⢸⣀⡰⠋⣆⠀⣠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠤⠤⠼⠀⠘⠤⠴⠃⠀⠀⠀⠈⠉⠁⠀@swtkiss_ (ig)
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡴⠶⠶⠒⠲⠶⠶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣤⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢶⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⠀⠀⠀ ⠀⠀⣰⡟⠁⠀⠀⠀⠀⣀⣀⣀⣠⡴⠀⠀⠚⠲⠚⢷⣄⠀⠀⠀⠀⠈⢷⡄⠀⠀ ⠀⣰⡏⠀⠀⠀⣠⡴⠟⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠉⠳⣦⡀⠀⠀⠈⢿⡄⠀ ⢠⡟⠀⠀⠠⠚⠁⣠⣶⣿⣿⣿⣦⠀⠀⢀⣶⣿⣿⣷⣶⣤⡀⠉⠲⠄⠀⠈⣷⠀ ⣼⠃⠀⠀⠀⢠⣾⣿⣿⡟⠛⢻⣿⣧⠀⣼⣿⣿⠟⢿⣿⣿⣿⣦⡀⠀⠀⠀⢹⡆ ⣿⠀⠀⠀⢀⡿⠀⣿⣿⣿⣶⣿⣿⣿⡄⣿⣿⣿⣤⣾⣿⣿⡇⠘⣷⠀⠀⠀⢸⡇ ⢹⡆⠀⠀⢸⡇⠀⠈⠿⣿⣿⣿⣿⣿⡇⢻⣿⣿⣿⣿⣿⡿⠁⠀⢹⡆⠀⠀⣸⠇ ⠘⣧⠀⠀⠸⣷⠀⢀⣀⡀⠉⠉⢉⣿⠃⠘⣿⡙⠛⠉⠁⣀⡀⠀⣼⠃⠀⢀⡿⠀ ⠀⠹⣆⠀⠀⢹⡿⠋⢹⣇⣀⣤⣾⣁⠀⠀⢉⣻⣦⣀⢸⡏⠙⢿⡏⠀⢀⣾⠃⠀ ⠀⠀⠙⣦⣠⡿⠁⠚⠛⠋⠉⠉⠉⠙⣷⣴⠛⠉⠉⠉⠛⠛⠒⠂⢻⣤⡾⠁⠀⠀ ⠀⠀⠀⠈⣿⠃⠀⠀⠀⠀⠀⠴⣶⠟⠋⠙⠛⢶⡦⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⡿⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠳⠶⢦⣤⣤⣤⠾⠷⠶⠶⠶⠿⢦⣤⣤⠴⠶⠚⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⠔⠂⠀⣀⣤⣴⠶⠟⠛⠛⠛⠛⠛⠛⠛⠛⠷⢶⣤⣄⡀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡠⠚⠁⢀⣴⡾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢷⣤⡀⠈⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠞⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡰⠋⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣄⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡸⠁⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⠀⠸⡄⠀⠀⣀⣀⣀⣀⠀⠀ ⠀⢠⠃⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣀⠀⠀⠀⠀⢻⣧⠀⠸⡀⠘⣏⠙⢻⣿⠇⠀ ⠀⡞⠀⣸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠉⠻⣦⡀⠀⠀⢿⡆⠀⠇⠀⠙⣾⣿⠁⠀⠆ ⢸⠇⢰⣿⠀⠀⠀⠀⠀⠀⣀⡴⠞⠋⠉⠁⠀⠉⠉⠛⠶⣦⡀⠀⠀⠀⣸⣇⣠⣴⣶⣤⣀⠈⢷⡄⠀⢸⣧⠀⠀⠆⠀⠈⠃⠀⠀⠀ ⠀⠀⢸⣟⠀⠀⠀⠀⢀⡾⠋⠀⠀⢀⣠⣤⣶⣶⣦⣤⡀⠈⢻⣆⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⡤⣿⠀⠀⣿⠀⠀⢸⣶⡆⠀⡇⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⢠⡿⠀⠀⢀⣴⣿⡿⠿⣿⣿⣿⣿⣿⣦⠀⢹⡆⢰⣿⠉⠁⢸⣿⣿⣿⣿⣿⢸⠀⠀⣿⠀⠀⠀⠛⢁⡠⠃⠀⠀ ⢸⡄⠸⣿⠀⠀⠀⢸⠁⠀⢠⣿⡇⠈⠁⣠⣿⣿⣿⣿⣿⣿⣇⠀⣿⠀⣿⣦⣤⡿⣿⣿⣿⣿⣿⣿⠀⢰⡏⠀⠈⠀⠀⠈⠀⠀⠀⠀ ⠈⢇⠀⢻⣆⠀⠀⢸⡀⠀⣾⣿⣷⣦⣼⣿⠉⣻⣿⣿⣿⣿⣿⠀⣿⠀⣿⣿⣿⣿⣿⣿⣿⠿⣿⡟⠀⣼⠇⠀⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠸⡀⠘⣿⡆⠀⠸⣧⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠃⠀⢿⣿⣿⣿⣿⣿⣿⣿⡿⠀⣼⡟⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢳⡀⠘⣿⣄⠀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⡿⠃⠀⠀⠈⢿⣿⣿⣿⣿⣿⠿⢁⣴⡟⠀⢠⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠱⡀⠈⢿⣦⡀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠀⠀⠀⠀⠀⠀⠉⠛⠛⠋⠁⣠⣾⠟⠀⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠀⠀⠙⢿⣦⡀⠀⠀⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣼⠟⠁⢀⡔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡤⠤⣄⠙⠻⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⡾⠟⠁⢀⡴⠋⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⢧⡀⠀⠀⣳⡄⠀⠉⠛⠿⢶⣶⣤⣄⣀⣀⣀⣀⣠⣤⣶⠶⠟⠋⠁⠀⠀⠀⠁⠀⣴⠛⠁⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡄⠀⣷⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⣠⡞⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⠋⠀⡿⠀⠀⠀⠈⠓⠒⠒⠒⠒⠒⠒⠒⠒⠶⢤⡀⣀⡤⠤⠤⠐⠒⠒⠒⠒⠒⠒⠚⠁⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡎⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⢀⣿⣍⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⠘⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠘⠲⠶⣖⠒⠉⠉⠉⠀⠈⠙⠒⠲⠶⣒⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⢻⠀⠀⠀⠀⠀ ⠀⠀⠀⢧⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⡀⠀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢦⠀⠙⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⡇⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⡼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠓⢄⠀⠙⠲⢤⣄⣀⣀⣀⣠⠜⠁⠀⠀⠀⠀⠀⠀⠀⠸⡄⠘⠷⣄⡀⠀⠀⢀⣠⡤⠞⠉⠀⡤⠊⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⠲⠤⣄⣀⡈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⢀⠀⠉⠉⠉⠉⢁⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣿⣿⡆⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⣾⣿⡆⠀ ⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⢰⣿⡆⠀⣾⣿⡆⠀⣾⣷ ⣿⣿⡇⠀⠀⣿⣿⡇⠀ ⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⠘⣿⣿⣤⣿⣿⣿⣤⣿⡇⢻⣿⡇⠀⠀⣿⣿⡇⠀ ⠀⠀⠀⣿⣿⡇⠀⠀⢸⡿⠀⢹⣿⣿⣿⣿⣿⣿⣿⠁⢸⣿⣇⠀⢀⣿⣿⠇⠀ ⠀⠀⠀⠙⢿⣷⣶⣶⡿⠁⠀⠈⣿⣿⠟⠀⣿⣿⠇⠀⠈⠻⣿⣶⣾⡿⠋⠀
Venus planet of love was destroied by global warming ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⣾⣿⢿⠿⠿⠿⠿⠿⡿⠿⣿⣶⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⠿⠛⠉⠉⢀⣠⣾⡆⠀⠀⠀⠀⣿⣦⠀⠈⠉⠙⠻⢿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⡿⠟⠉⠀⠀⠀⠀⣶⠿⠟⠉⠀⠀⠀⠀⠀⠙⢿⣿⠀⠀⠀⠀⠀⠈⠻⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣷⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⣿⡿⠉⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣦⣤⣄⡀⠀⠀⠀⠀⠙⣿⣿⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⣿⠟⠀⠀⠀⠀⣠⣶⣿⣿⠿⠛⠛⣿⣿⣷⡀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⠀⠀⠈⢿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⢰⣿⡏⠀⠀⠀⣠⣾⣿⣿⣿⣿⣂⣤⡼⠿⢿⣿⣷⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⠋⠉⢻⣿⣿⣷⣄⠀⠈⢿⣿⡄⠀⠀⠀ ⠀⠀⠀⣿⡿⠀⠀⠀⣰⣿⣿⠟⠛⠛⠛⠛⠁⠀⠀⠀⢸⣿⠀⠀⢸⣿⣿⣿⠁⠀⠈⠹⣿⣤⣦⣸⣿⣿⡟⣿⣦⠀⠘⣿⣷⠀⠀⠀ ⠀⠀⢸⣿⠇⠀⠀⢰⣿⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀⣿⣿⣿⣷⠀⠀⠀⠀⠉⠉⠁⠈⢹⣿⡇⠈⢿⣇⠀⢹⣿⡄⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⣼⡇⠀⣿⣦⣀⠀⠀⠀⠀⠀⢀⣼⣿⣿⠀⠀⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠘⣿⠀⠘⣿⡇⠀⠀ ⠀⠀⢸⣿⠀⠀⠸⣿⡇⠀⠘⢿⣿⣟⠛⢳⣶⣾⣿⣿⣿⡏⠀⠀⢻⣿⣿⠿⠻⣷⡄⠀⠀⣀⣠⣴⣿⠟⠀⠀⢀⣿⠀⠀⣿⡇⠀⠀ ⠀⠀⢸⣿⡀⠀⠀⢹⣿⡀⠀⠀⠉⠛⠿⠿⠿⠿⢟⣿⣿⠁⠀⠀⠘⣿⣿⣷⣦⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⣠⣾⡿⠀⢀⣿⡇⠀⠀ ⠀⠀⠈⣿⣇⠀⠀⠈⢿⣿⣤⣄⣀⣀⣀⣀⣠⣶⣿⠟⠁⠀⠀⠀⠀⠈⠻⣿⣦⣍⣉⠉⠉⠀⢀⣀⣠⣴⣾⣿⠟⠁⠀⣸⣿⠃⠀⠀ ⠀⠀⠀⢻⣿⡄⠀⠀⣰⣾⣿⣿⣿⡛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠻⠛⢻⣿⣿⣯⣭⡀⠀⠀⢠⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⣄⣰⣿⡟⠉⠻⣿⣷⠀⠀⠀⠀⠀⠀⣀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⠋⠙⢿⣿⣧⣤⣿⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⡿⠋⠀⠀⢀⣿⡟⠀⠀⠀⠀⠀⠸⠿⠛⠻⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⢸⣿⣧⠀⠀⠀⠙⢿⣿⣿⠁⠀⠀⠀⠀ ⠀⠀⣠⣾⣿⠟⠋⠀⠀⠀⣠⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣷⣄⠀⠀⠀⠹⣿⣷⣄⠀⠀⠀ ⢀⣾⣿⠟⠁⠀⠀⠀⣶⣴⣿⣿⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣠⣤⣤⣤⣤⣼⣿⡿⠀⠀⠀⠀⠈⠻⣿⣷⡀⠀ ⣼⣿⠃⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠻⠿⠿⠿⣷⣶⣶⣦⣶⣶⡿⠿⠿⠟⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⠀ ⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣶⣦⣤⣤⣀⣀⣀⣼⣿⣿⣦⣤⣠⣤⣤⣤⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⣿⣿⡀⠀⠀⠀⠀⠀⠀⢀⣤⣄⡀⠉⢻⣿⡏⠉⠙⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⢻⣿⣶⣦⣤⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇ ⠘⣿⣿⣆⠀⠀⠀⠀⠀⠈⠛⠛⠿⠿⢶⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣦⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡏ ⠀⠈⠻⣿⣷⣄⡀⠀⠀⢿⣶⣤⣄⣀⣾⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣷⣶⣤⣶⣆⠀⠀⠀⠀⢀⣠⣶⣿⡿⠋⠀ ⠀⠀⠀⠈⠙⠿⢿⣷⣶⣤⣽⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣯⣤⣤⣤⣶⣿⡿⠟⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⢠⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⣾⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⢠⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣷⣄⠀⠀⢀⣴⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⣄⡀⢀⣠⣾⡿⠃⠀⢀⠀⣀⠀⡀⠀⠀ ⠀⣠⣐⢣⢎⡕⡣⢖⣠⠈⠛⠿⣿⣿⡿⠟⠋⠀⠀⠀⢰⡄⠀⠀⠀⠀⠀⠀⣴⣦⠀⠀⠀⠀⠙⠻⠿⠿⠟⠋⢀⠰⡸⣌⠳⣌⠳⣔⢢⡀ ⡴⢱⡘⠮⡜⣌⣓⢣⡌⣏⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⣠⣄⠀⢠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢪⡱⢓⡬⠳⣌⠳⡜⢦⡱ ⡇⣇⢹⢱⠾⣀⢇⠷⣸⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣾⡿⢿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢇⠹⡎⣰⠏⣈⢷⡸⢇⣱ ⢗⠬⣓⠎⣎⠵⣊⠳⢥⣓⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣎⠳⣩⠖⡹⣌⠶⣉⠶⡑ ⠈⠳⢬⡙⢦⢛⢬⣹⠦⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠱⢡⢞⡱⢎⡲⣭⠚⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠖⢛⣉⣉⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠾⠟⠋⠉⠉⠉⠀⠀⠀⠀⠀⠈⠉⠉⠙⠳⠦⣀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⣄⣀⠔⠁⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀⠉⠳⢄⡀⠀⠀⠀⣠⠞⠉⠁⠈⠙⠳⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢦⡀⠀⠀⠀⠀⡀⠀⠀⠙⢦⣀⡾⠁⠀⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠴⣒ ⣶⣤⣄⣀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠘⠦⡀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⡀⠘⣇⠀⠀⠀⠴ ⣿⣿⣿⣿⣷⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠈⠢⢀⡇⠀⠀⠀⢀⡄⠀⠀⠀⣿⠀⠸⡀⠀⠀⠀ ⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠀⠈⠳⣄⠀⠀⢸⡇⠀⠀⠀⣼⢳⠀⡇⢀⡏⠀⠀⣧⠀⠀⠀ ⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣄⠀⢠⣄⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠐⢤⡀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⣧⠀⠀⢸⠿⢼⡇⠟⢫⠇⠀⠀⢿⠀⠀⠀ ⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⢻⡙⠦⡀⠀⠀⠀⠀⠙⢦⠲⣄⠀⠀⠀⠀⠀⠀⠑⢦⠀⠀⠀⠀⠰⣄⠀⠙⣆⢸⡀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⣸⠀⠀⠀ ⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠳⡜⣇⠀⠈⠳⣄⠠⡀⠀⠈⠳⡘⢿⡦⣄⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠘⢆⠀⠀⠀⢷⠀⠀⠀⠰⣦⣤⡀⠀⠀⠀⡿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠹⣾⠀⠀⠀⠈⠳⣴⡄⠀⠀⠙⢌⢣⠈⠳⣄⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀⢳⠀⠀⠈⢧⠀⠀⠀⠹⡿⠁⠀⠀⣰⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠀⢸⡏⢧⠀⠸⣇⠀⠀⠀⠀⢈⣿⣄⣀⣀⠬⢿⣷⠶⠚⠳⡀⠀⠀⠘⣆⠙⢄⠀⠀⠀⣧⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠈⡇⠈⣇⠐⢻⡛⠛⠉⠉⠉⠉⠙⣆⠀⠀⠀⠹⡄⠀⠀⠙⢦⡀⠀⠈⣆⠘⣆⠀⠀⠸⡆⠀⠀⠀⡝⠢⣤⣀⣠⡾⠙⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠘⣆⠀⠸⡄⢸⠀⠘⡆⠈⡇⠀⠀⠀⠀⢀⡠⠜⢧⠀⠀⠀⢻⡀⠀⠀⠀⢻⣄⣀⠘⡆⠘⡆⠀⠀⢹⡀⠀⠀⣷⠀⠰⣹⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣧⠸⡄⠀⠀⠀⠘⡄⠀⠹⡄⣧⠀⠸⡄⢸⠀⠀⠀⠀⠀⠀⢀⣈⣷⡤⣤⣾⣷⣶⣾⣟⣿⠿⣇⠀⢹⠀⢱⠀⠀⠀⢷⠀⠀⢸⠀⠀⣿⡇⣇⠈⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⢸⡟⣆⢱⡄⠀⠀⠀⠘⣆⠀⠙⣜⡆⠀⢻⡘⡄⠀⠀⠀⠀⣴⢉⣥⣾⣿⣿⣿⣿⠟⠛⠋⠀⠀⠘⡆⠘⠀⠘⡇⠀⠀⠈⣇⠀⠸⠀⠀⡇⡇⢸⠀⠀⠀⠀⠀⠂ ⠀⠀⠀⠀⢀⡀⣿⠀⡇⠘⣆⢻⣆⡀⠀⠀⠈⢧⡀⠘⣾⡄⠀⢧⣇⠀⠀⠀⠰⣷⣿⠟⣿⡾⣿⣿⢸⡄⠀⠀⠀⠀⠀⢹⣤⠀⠀⢳⠀⠀⠀⠸⡆⠀⠀⢰⢡⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⡇⠘⡆⢹⠀⠙⣦⢫⡳⣄⠀⠀⠀⠙⢤⡈⢿⡄⠘⣿⠀⠀⠀⠰⢿⠏⠀⠀⠀⣹⣿⣿⡇⠀⠀⠀⠀⠀⠈⣿⠀⠀⣸⡄⠀⠀⠀⢹⣀⠀⡟⢸⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⢳⠀⢧⠸⡀⠀⠈⣯⣳⠈⠳⢤⡀⠀⠀⠙⢦⡹⣄⢻⠀⠀⠀⠀⣀⠀⠀⠀⠀⠠⢻⣿⡇⠀⠀⠀⠀⠀⢀⡏⠀⢰⠏⢿⠀⠀⠀⠀⣿⡼⠁⡾⡟⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⡾⡄⠘⣇⣷⠀⠀⢿⠻⣷⡄⠀⠉⠓⠦⣄⣀⠉⠻⣿⡀⠀⠀⡤⢹⠀⠀⠀⠀⠀⠀⢿⠁⠀⡀⠈⠀⠀⡼⢁⡴⠋⠀⠸⡇⠀⠀⢀⣿⠃⣸⠃⠹⡹⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢧⢷⠀⠸⣼⡆⠀⡆⠀⠈⢻⣇⠀⠀⠀⡈⢩⣿⠒⠶⠭⣷⡦⣤⣤⠀⠀⠀⠀⠀⠀⢸⡀⠀⠙⠒⠒⠚⠓⠉⠀⠀⠀⠀⢹⠀⠀⣸⣁⡾⠃⠀⠀⠻⡽⣄⠀⠀⠀⠀ ⡄⠀⠀⠀⠀⠸⣎⣇⠀⢹⣷⠀⡇⠀⠀⠀⠀⢹⣿⡋⣵⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⢸⡆⢼⠛⠁⡆⠀⠀⠰⣀⠻⣜⣆⠀⠀⠀ ⣇⢀⠀⠀⠀⠀⠻⡜⣆⠀⠹⣧⡇⠀⠀⠀⠀⡼⠁⣽⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡤⠐⢠⣤⣀⠀⠀⠀⠀⠈⣇⠀⠀⣸⡇⢸⡇⢿⡇⠀⠀⠀⢈⣳⣾⣿⡄⠀⠀ ⢿⠀⣧⠀⠀⠀⠀⡿⣌⢦⠀⢻⣇⠀⠀⠀⠀⡇⣸⣿⣼⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣴⣿⣿⣿⣿⣿⢿⣦⡀⠀⠀⢸⡀⢠⣿⣧⠈⡇⢸⣷⡄⠀⢸⠉⠀⠈⠙⢷⡀⣀ ⢸⡀⠸⡆⠀⢠⠀⢣⡘⢯⡳⣄⠻⣆⠀⠀⠀⢷⡿⢻⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⡿⠛⠻⣿⡄⠀⠘⣗⣾⣿⣿⠀⡇⣿⠸⡿⣄⠈⠳⣄⠀⠀⠀⠑⠈ ⠘⣧⠀⠻⡄⠀⢷⡀⢳⡀⠙⣿⣦⡻⣶⡀⠀⣼⡷⠟⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⡿⢿⣽⡇⠀⠀⠈⡇⠀⢀⣾⣿⣿⣿⢰⡇⣿⡀⢻⡈⢳⣄⠻⣷⣄⠀⠀⠰ ⠀⣿⡄⠀⠹⣆⠀⢷⡄⠹⣄⠹⣿⣷⣽⣿⣷⣯⡀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣟⢿⠿⠀⠀⠀⠀⠀⠀⡄⠀⡾⠟⠁⠀⣿⢸⢿⠃⠳⣄⢻⡅⠛⠳⣝⡛⢷⡀⠀ ⠀⢿⡸⣆⠀⠈⢣⡈⢿⣦⠈⢦⣹⣿⣿⣿⠿⣿⡟⡀⠣⠀⢀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣦⣀⠀⠀⠀⠀⠠⣧⡾⠁⠀⠀⢀⡟⢨⡏⠀⠀⠉⠢⣽⣄⠀⠈⠉⣻⣿⡄ ⠀⠸⣇⠻⣧⡀⠀⠙⢮⡻⡵⣄⠙⢿⣿⣇⣾⣿⢻⣻⣆⠀⠈⢳⣄⣀⠀⠈⠲⣄⢄⣀⣀⣀⣀⡀⠀⠀⠈⠉⢳⣖⣒⣶⡏⠀⠀⠀⠀⣸⣃⡟⠀⠀⠀⢀⣠⡴⠾⠛⠛⠉⠀⠀⠻ ⠀⠀⣏⢧⢳⡈⠳⣄⡀⠙⠾⣮⣷⣦⡙⠏⢀⠀⠀⠈⣿⡟⠋⠋⠇⡄⢹⠻⠱⠿⠟⠛⣤⢸⠀⣀⡄⡄⡄⢠⢹⢡⡜⡏⡆⣿⢠⢹⢹⡟⡟⠀⣀⡴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢻⠀⣧⣳⡀⠈⠉⠲⢤⣈⠙⢿⣿⡇⣼⡤⢤⣤⢿⣧⣴⣴⣧⣧⣼⣀⣴⣾⣴⣧⣿⣬⣥⣿⣧⣥⣷⣬⣼⠮⡤⠣⠭⠿⠌⠘⣬⠽⢠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣤⣼⣥⣧⣥⣽⠤⢤⢤⣤⣿⣿⣿⣯⣥⣭⣥⣼⣭⣬⣭⣭⣭⣭⣭⣭⣭⣬⣭⣭⣭⣭⣭⣭⣭⣭⣭⣭⣿⣭⣤⣧⣤⣤⣤⣤⣾⣥⣤⣤⣤⠤⣤⠤⠬⠤⠤⠤⠤⠤⠤⠤⠤⠤

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀ ⠀⠀⠀⢀⠀⠀⠀⠠⠀⡖⣗⣄⠀⠁⠀⠀⠑⠀⡂⡀⠀⠀ ⠀⠀⠀⠀⠠⠐⠀⠐⢠⠃⡧⠀⠑⡄⠀⠀⠀⠀⠀⠈⠀⡀ ⠀⠀⠀⠀⠈⠐⠄⢰⠥⠤⠯⠤⠎⢏⠀⠕⠀⢄⠀⠀⢂⠀ ⠀⠀⠀⠐⡖⡓⠒⢺⠤⣀⠅⠆⠀⢺⡀⠄⠀⠅⢀⡁⢄⠀ ⠀⠀⠀⠊⡑⢀⠀⢺⣈⠁⠬⠂⠲⡲⠂⡀⠀⠀⠈⠐⠁⡀ ⠀⠀⠀⠁⡁⠁⠒⢝⠍⠊⠀⡁⠀⢘⠈⠊⠂⠀⢄⠤⠀⠁ ⠀⠀⠀⠐⠨⠀⠨⠎⠊⠀⠁⠐⡜⢐⠂⢀⠂⠁⠀⠀⠀⠂ ⠀⠀⠀⠀⢒⠂⠁⡓⡡⠀⠀⠀⢀⠨⠅⠈⠐⠀⡂⠐⠁⠀ ⠀⠀⠀⠀⠈⡰⡈⠧⠢⠔⠀⠀⠀⢘⠂⠂⢃⠀⣂⠀⠁⠐ ⠀⠀⠀⠀⠀⠀⠀⡇⠕⡒⡦⠀⠀⢘⢀⠊⡤⡐⠐⠀⠐⠀ ⠀⠀⠀⢠⠋⠉⠙⣇⠳⣉⠝⠶⡖⡿⣖⣉⡄⠀⠁⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠁⠅⣀⢀⠏⡀⠂⠉⡆⠀⠀⠀⠀ ⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠉⠙⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠁⠃⠒⠒⠒⠒⠒⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣄⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢀⡄⠀ ⠀⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠸⡇⠀ ⠀⢿⣄⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠹⣆⠀⣰⡇⠀ ⠀⠀⠙⠛⠋⠀⠀⠀⢿⡀⣤⡀⢠⡿⠀⠀⠀⠙⠛⠋⠀⠀ ⠠⠴⠔⡴⠰⠤⠀⠀⠸⣿⠟⣷⡿⠁⠀⠀⠠⣤⣄⢄⠤⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⢀⣀⡀⠀⠀⠀⢀⣀⡀⠀⣀⣀⡀⠀⠀⠀⢀⣀⡀⠀⠀⠀⢀⣀⠀⠀⣀⣀⠀⠀⠀⠀⣀⣀⠀ ⣿⣿⣿⠀⠀⠀⢹⣿⣿⠀⠸⣿⣿⡄⠀⠀⣿⣿⣿⡀⠀⢀⣿⣿⠁⠀⣿⣿⡇⠀⠀⠀⣿⣿⡇ ⣿⣿⣿⠀⠀⠀⢸⣿⣿⠀⠀⢻⣿⣷⠀⢰⣿⣿⣿⣇⠀⣼⣿⡇⠀⠀⣿⣿⡇⠀⠀⠀⣿⣿⡇ ⣿⣿⡟⠀⠀⠀⣸⣿⣿⠀⠀⠘⣿⣿⡇⣿⣿⠈⣿⣿⣠⣿⡿⠀⠀⠀⣿⣿⡇⠀⠀⠀⣿⣿⡇ ⣿⣿⣷⠀⠀⢀⣿⣿⣿⠀⠀⠀⢹⣿⣿⣿⡏⠀⢹⣿⣿⣿⠇⠀⠀⠀⣿⣿⣇⠀⠀⣰⣿⣿⡇ ⠘⢿⣿⣿⣿⡿⢻⣿⣿⠀⠀⠀⠀⣿⣿⣿⠀⠀⠈⣿⣿⡟⠀⠀⠀⠀⠻⣿⣿⣿⣿⠟⣿⣿⡇ ⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀
⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢎⡈⠀⠁⠈⠀⠉⠁⠁⠀⠀⠀⠀⠀⠠⠀⠀⡠⡄⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠄⡀⠀⠀⡈⠀⠀⠀⠀⠀⡂⠀⠀⠀⠄⠂⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⡒⠉⠉⢩⠀⠠⠁⠀⠀⠠⠡⠉⠈⠁⠉⠀⠁⠁⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⢌⢃⠄⠄⠠⠀⠄⠀⠀ ⠀⠀⠀⠀⠀⠀⠆⢀⠀⠀⠀⠨⠀⢸⠁⠀⠀⢸⠀⠎⠄⠄⠄⢒⠁⠀⠀⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠀⠇⢀⠑⡣⠠⠐⠀⠒⠄⠈⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠉⠀⠈⠀⠀⠀⠈⠀⠀⠀⠀⠀⠰⣀⠆⠀⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⡐⠂⢀⢌⡀⠀⠀⠀⠀⡁⠀⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠡⡀⠀⠀⡐⠀⠂⠠⡉⠀⠀⠀⠀⠀⠂⢀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠀⠀⡁⣴⠯⠀⠀⠀⠀⠠⡁⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠠⡉⡗⠐⠐⣂⠑⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠌⠁⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁⠈⠁⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡆⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠌⠄⡈⠀⠀⠁⠂⠂⢃⠃⠃⠊⠉⠁⠀⠀⠀⠀⢀⢀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢈⠀⠂⡀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⠀⠀⠀⡀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⠐⠐⠀⠀⠨⡆⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡂⠀⠁⡀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⢘⠐⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⠀⠀⡁⠄⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⢐⠀⠀⠀⠉⠉⠈⠐⡄⠀⢈⠀⠀⠀⠤⢤⡀⡀⢴⠠⢁⠄⢄⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡁⠀⠀⠰⡅⢀⡀⣀⢀⠀⡀⣰⢀⢀⢀⢀⡰⠨⡀⠀⠀⠀⠀⠀⢀⠅⠀⠨⠀⠀⠀⠀⠀⡇⠀⠰⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠁⠂⠂⠂⠒⠀⠀⠀⠈⠂⠂⠂⠒⠚⠀⠀⠂⠀⠀⠀⠵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣦⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣷⣄⠀⠀⣀⣤⣶⣾⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠟⠛⠛⠻⠿⣿⣿⣷⣦⣤⣀⠀⢀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣤⣼⣿⣿⢯⣷⣻⢾⣽⣻⣿⣷⣿⡿⠿⠛⠉⠁⠀⠀⠈⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⠃⠀⠀⠀⠀⠀⠀⠈⠙⠛⢿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣟⣾⣻⢾⣽⣻⣞⣷⣻⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡼⣧⣟⣿⣼⣿⣿⣼⣧⣿⣿⣇⣀⡀⠀⠀⠀⠀⠀⠀⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣷⣻⢷⣯⣿⣿⢿⣻⣿⣿⣿⢿⡿⣿⣿⣷⣤⣤⣶⣶⣶⣿⣿⣷⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⢾⣽⣻⣞⣿⣿⣿⣿⣿⣟⡾⣯⣟⣷⣻⢿⣿⣿⣟⣿⣻⣽⣻⢿⣿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣷⣾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣻⣞⡷⣯⣟⡿⣿⣿⣿⢾⣽⣳⣟⡾⣽⣻⣿⣿⣿⣾⡷⣯⣟⣻⣾⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣾⣿⣷⣯⣿⣿⢿⣿⣟⣾⣳⢯⣟⣷⣿⣿⣟⣿⣿⣿⣳⢯⣷⣿⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⢯⣿⣾⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣞⣷⣻⢾⣽⣻⣾⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⡿⠟⢻⣿⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠐⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣆⣀⣀⣀⣀⠀⠀ ⢀⣀⣤⣤⣤⣤⣿⣿⣦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⢰⡾⠿⠿⣿⣿⠟⠛⠛⠛⠛⠛⠂ ⠘⠛⠋⠉⠉⠉⢻⣿⡏⠉⠉⠉⠀⠀⠀⠀⠀⠀⣾⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⣀⣤⣴⣿⣿⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣤⣿⣿⣷⣶⠶⠀⠀⠀⠀⠀⠀⠈⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡶⠾⢶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⣿⣿⡟⠛⠿⠿⠿⠆⠀⠀ ⠀⠀⠀⠘⠟⠛⠋⠉⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⣄⣀⣠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣧⣤⣶⡶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣾⣿⣿⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⡟⠙⢻⣿⣷⣦⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⠟⠋⠁⠀⠙⠿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⠟⠋⠀⠀⠀⠈⠙⠛⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣾⣿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⣿⣿⣿⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣴⣶⣶⣶⣶⣾⣿⣿⡿⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠈⠉⠉⠉⠉⠉⠙⠛⠛⠛⠛⠋⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣵⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣿⣿⣦⡀⠀⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠟⠁⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢿⣦⡀⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠇⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⢙⡧⠠⣄⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠋⣠⠏⠀⢠⠏⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠈⢷⢦⠀⠀⣠⣾⣿⡆⢸⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡁⢰⠃⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⡽⠲⡀⠀⠀⢀⣼⣾⣀⠔⢭⣿⡿⢳⣼⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠮⣷⣄⡀⠀⢷⣄⠀⠀⠀⢀⡞⠁⠀⡼⣀⠴⣫⠶⠛⢧⡀⣸⣿⡔⢺⡇⢀⠇⠀⠀⠀⠀⠀⣰⡏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠋⠓⠾⠏⠳⣄⣀⡜⠀⠀⠚⠋⢡⠞⢁⡤⣶⣾⡟⣿⣟⠀⢸⠄⢸⠀⠀⠀⠀⢀⣼⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢿⡗⠒⠢⣄⡀⠀⠉⠀⠀⠀⠀⣠⡿⠚⠙⣷⡿⠟⢸⣿⠙⠀⣸⠀⡇⠀⠀⠀⢀⣾⠟⡠⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⢸⡿⣋⣹⣟⣷⣄⠀⠀⠀⠀⠀⠛⠒⠒⠉⠁⠀⠀⡾⣿⣇⡴⠁⠀⡇⠀⠀⢀⣾⡟⡔⠁⠀⠀⠓ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⣶⡄⣀⣼⠁⠀⣿⠁⠉⠁⠀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⡿⠁⠀⠀⢸⠀⠀⠀⣼⡿⡰⠁⠀⠀⠀⠀ ⡟⠀⠂⠀⠀⠀⠀⢿⣿⣿⣿⣿⠃⠀⠀⡟⢦⠀⠀⠀⠀⠺⠄⠀⠀⠀⣠⡞⠀⠀⠀⠀⢠⡇⡇⠀⠀⠀⢸⠀⠀⢰⣿⠃⠀⠀⠀⠀⠀⣠ ⣿⣇⡀⠀⠀⠀⠀⠈⠉⢸⣿⠏⠀⠀⣸⠀⡏⠑⢦⡀⠀⠀⠐⣾⣿⣿⡿⠁⠀⠀⣀⠴⠉⡇⢹⠀⠀⠀⢸⠀⠀⣸⣿⠘⠀⠀⠀⠀⠀⡀ ⠿⠿⠇⠀⠀⠀⠀⠀⠀⢀⣯⡤⠄⢴⠇⣸⣀⡀⠀⠉⠓⠦⣀⡉⠉⠉⠀⢀⡤⡾⠁⠀⣰⡇⢸⣷⣦⠤⠞⠒⠒⠺⣧⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⢀⡎⢠⠃⠀⠉⠙⠒⠂⠤⠤⣽⠓⠒⠊⠉⠀⣧⣀⣼⣿⡇⠀⣿⣿⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⢀⡞⢠⠇⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⡇⠀⡿⠃⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⡼⠀⠀⠀⡞⢠⠏⠀⠀⠈⠑⠦⡀⠀⠀⠀⢀⣀⣤⣴⣶⣿⣿⣿⣿⣿⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠟⠁⢠⠇⠀⠀⡸⣰⣯⠏⠀⠀⠀⢀⣀⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⡇⢀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀ ⠀⢀⡼⠧⠶⠦⠾⠦⠤⠤⠷⠿⠥⠤⠤⠶⠿⠋⣸⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⡇⡜⠀⠀⠀⠀⠀⠀⣸⣄⠀⠀⠀⠀⠀ ⠀⣾⡄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠰⣤⣤⣤⣴⣾⣿⣦⣈⠙⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠤⠼⣟⠁⠀⠀⠀⠀⠀⢠⠟⢏⠻⠷⣦⣀⣀ ⠞⡏⠳⣄⡀⠀⠀⠀⠀⠘⡆⢹⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⠀⠀⠀⠀⢀⡞⠀⠈⢆⠀⠀⠀⠀ ⠀⡇⠀⠀⠈⡏⠹⡟⣆⠀⢃⢸⣀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⢁⡴⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⢸⠆⠀⠀⠀⡼⠁⠀⠀⠈⢆⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⠀⠹⢶⠶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣴⠋⡰⠋⢁⣠⢤⣤⣤⡴⠚⠁⠀⡼⠀⠀⠀⢰⠃⠀⠀⠀⠀⠈⡆⠀⠀ ⠀⠀⠀⠀⠀⢸⡀⠀⠈⡆⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣉⣴⣾⣿⡟⠀⠀⠀⠀⡇⠀⠀⢀⠟⡇⠀⠀⠀⠀⠀⠸⠀⠀ ⠀⠀⠀⠀⠀⠀⢧⠀⠀⡇⢸⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⢠⠇⠀⠀⡼⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠀⠀⠀⠀⠀⠘⡆⠀⣣⢸⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⢸⠀⠀⣰⠁⠀⠈⣇⠀⠀⠀⠀⠀⠈⡄

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⠿⠿⠛⠛⠛⠛⠉⠉⠉⠙⠛⠛⠛⠻⠿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣷⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⣿⠋⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⣿⣿⣿⣿⣷⡆⠀⠀⠀⠀⠀⠹⣿⣿⣧⠀⠀⠀⠀⠀ ⠀⠀⣼⣿⡿⠃⠀⠀⣠⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠈⠉⠛⠛⠁⠀⠀⠀⠀⠀⠀⠘⣿⣿⣧⠀⠀⠀⠀ ⠀⣰⣿⣿⠁⠀⢀⣼⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣧⠀⠀⠀ ⢠⣿⣿⠇⠀⣴⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣇⠀⠀ ⣼⣿⡟⠀⢸⣿⣿⠟⠀⢀⣴⣿⣿⣿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡄⠀ ⣿⣿⡇⠀⠀⠉⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣧⠀ ⣿⣿⠁⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⡀ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡇ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡇ ⢹⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⠀⠀⠀⠀⠀⠀⢠⣾⣷⡄⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠇ ⠘⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀⠸⣿⣿⡇⠀⠀⢀⣾⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡿⠀ ⠀⢻⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⡀⠀⠀⠀⠀⣀⣼⣿⣿⣿⣷⣶⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⠃⠀ ⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⠃⠀⠀ ⠀⠀⠸⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡿⠃⠀⠀⠀ ⠀⠀⠀⠙⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⢿⣿⣷⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡄⣠⣾⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣶⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣷⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣾⣿⣿⣿⣿⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠙⠛⠛⠛⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡆⠀⠀⠀⠀⠀⠀⠀⡤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢿⣦⡀⠀⠀⢀⡤⡟⠵⠃⠀⠀⠀⠀⠀⠀⣶⠦⡄⠀⠀⠀⠀⡰⡶⡆ ⠀⠀⠻⡿⠿⠽⠿⡺⠋⠀⠀⠀⠀⠀⠀⠀⠀⠘⣽⣯⡓⢆⣀⣷⣿⡗⡇ ⢀⣀⡀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠛⠒⠒⠋⠁⠀ ⡏⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀ ⠳⣄⠴⠃⠀⠀⠀⠀⠀⠀⠳⠾⢷⡤⣾⠃⠀⠀⠀⠀⡞⠉⠀⠙⢧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⢀⣤⡟
⠒⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡹⣾⣹⢟⣯⡿⠿⠿⠟⠿⠟⠿⠿⠿⠿⠿⢾⣷⣾⡟⣼⢻⣿⣕⠪⡔⢩⢉⠛⠿⣿⣦⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣶⣿⢿⣇⣽⣿⠟⣉⣤⣴⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⡀⠸⣿⣸⣿⡾⢿⣷⣾⣀⠣⢌⠠⠈⠹⢿⣿⣮⡁ ⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣤⣬⠿⢋⣵⡾⠟⠋⠉⠄⡠⠀⡄⢠⠀⢄⠠⢉⠙⢿⣧⡹⣿⣟⣡⣤⣼⣝⣿⣷⣆⠄⡁⠂⠌⣻⣿⣷ ⠀⠀⠀⠀⠀⠀⠀⣰⣿⡿⠟⢋⠉⠛⢿⣿⠏⠁⠤⠑⡌⢂⠡⠡⡈⠤⣈⠤⡈⠤⡈⠄⠛⢿⣿⠟⢋⠡⢈⠙⠛⠿⢿⣷⣤⢁⠂⠸⣿⡽ ⠁⠀⠀⠀⠀⢀⣼⣿⠟⡠⠌⠠⢈⠰⣬⣿⠃⠈⠤⢁⠰⢀⢂⠡⠐⠠⢸⡀⠄⠡⡐⠠⢁⠂⠘⢿⣄⠐⠠⢌⠐⡀⠂⠌⠻⣿⣦⠁⢻⣿ ⠀⠀⠀⠀⢀⣾⣿⠃⠀⠁⠊⠔⣠⣿⣿⡏⢀⠁⢆⡈⡐⠠⢂⡘⠠⠁⣟⠄⡈⠐⠠⢁⠂⠌⠠⢈⣿⡄⠡⢘⡆⠐⠡⠌⠐⠈⢿⣏⣜⣻ ⠀⠀⠀⠀⣾⣿⠃⡄⠀⠀⠀⠀⣸⣿⣿⠁⠀⠈⠂⠀⠁⠒⠐⠈⠐⢈⠺⡄⠀⠁⠀⠁⠈⠀⠁⠀⠸⣿⣄⠈⢿⡀⠠⠐⠤⢈⠘⣿⣬⢳ ⠀⠀⠀⣼⣿⢃⡜⠠⢁⠂⣤⣾⣟⣽⣧⣤⣤⣄⠀⠀⠀⠀⢀⠀⠀⣀⠳⠀⢠⣶⣶⣶⣶⣦⣤⣤⣂⣿⢿⣆⢹⣇⠀⣉⠰⢀⠂⠼⣿⣣ ⠀⠀⢠⣿⣏⣾⠁⠂⢄⣲⣿⡿⠟⡛⠉⠉⠉⢀⠀⠉⠐⢈⡩⠉⠀⢞⡭⠀⠀⢀⠀⠈⠈⡉⠉⠙⢛⢻⣿⣿⣮⣿⠀⢀⠒⡈⡐⠀⣿⣷ ⠀⠀⢸⣿⣾⣿⣤⣥⣾⣿⡿⠀⠡⢌⠤⡴⣠⢆⡤⣌⡠⢐⡹⣄⠘⡘⣐⣀⣈⣠⣀⣡⣀⣌⣡⠀⠌⡘⣿⠘⣿⣿⡄⠂⠌⡐⠠⢁⢸⣿ ⠀⠀⢸⣿⢻⣿⡿⣸⣿⠏⠁⠀⠈⡀⠐⠀⠀⠂⠐⠈⠁⠒⠈⠉⠁⠀⠈⠉⠉⠉⠩⠉⠭⠉⠋⠛⠋⠑⠋⢠⣹⣿⡇⢈⠐⡈⣁⠂⠄⣿ ⠀⠀⠈⠁⢸⣿⣗⣹⣿⡀⠀⢀⠈⠄⠀⠀⢀⣠⣀⠄⠠⠀⠄⠀⠈⠀⠄⠀⠀⣰⣷⡇⠀⠀⠐⠀⠀⠀⣲⡀⢻⡼⣿⠀⡈⠔⢠⠈⠄⣻ ⠀⠀⠀⠀⢸⣿⡓⣾⣿⣧⡀⠀⠈⠐⠀⠀⢺⣿⣿⠀⠀⠌⠀⢀⠀⠈⠀⠀⢠⣿⣿⡧⠀⠀⠁⠀⠀⣼⣿⡷⢘⡧⣿⠀⡐⢈⠤⢈⠐⣸ ⠀⠀⠀⠀⣿⣿⠸⣽⣿⣿⣿⣄⠀⠀⠀⠀⣸⣿⣿⠁⠀⠠⠀⠀⠀⠠⠀⠀⠀⢻⣿⣿⡄⠀⠀⠀⢠⣿⣿⠇⠠⢫⣿⡆⠐⠠⢂⠂⠌⢸ ⠀⠀⠀⢸⣿⡇⣹⡗⣿⡟⣿⣿⣶⣤⣦⣴⣿⣿⠟⠀⠀⠂⠀⠄⠀⠠⠀⠀⠀⠈⢻⣿⣿⣶⣬⣶⣿⡿⠟⠀⡀⢣⣿⡇⢈⠰⠀⢎⡐⢨ ⠀⠀⢀⣿⣿⠐⣜⣿⣿⢃⡙⠿⢿⡿⣿⠿⠛⢁⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⢀⣶⣤⣉⡟⠿⠿⢛⢋⠁⢆⠱⡀⢹⣿⡇⢀⠂⢡⠢⡐⢨ ⠀⠀⣼⣿⠇⡐⢾⣿⠁⢠⠜⣐⠆⠰⡀⢂⢼⣿⡁⠀⣀⣠⣶⣶⣄⣀⠀⣀⣠⣼⡿⠏⡐⠠⢂⠅⡌⢂⢌⢢⠑⢬⣿⡇⠠⠘⡀⢆⡑⢨ ⠀⢰⣿⡏⠠⢸⣿⣿⠀⣧⠐⡥⢈⡓⠤⢁⠈⠻⠿⠿⠟⠛⠉⠙⠛⠿⠿⠟⠛⠋⢁⠐⡌⢡⠊⡔⡘⢢⠊⢆⠡⢎⣿⡇⠠⢁⠐⠄⡎⢰ ⢀⣿⣿⠀⡁⢿⡸⣿⣇⢹⣆⡐⠣⠘⡐⠂⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠡⢈⠄⢣⠐⡡⠃⡜⢀⢣⣯⣿⡇⠐⡈⢐⠈⡖⢸ ⣻⣿⡇⠠⢐⢣⢒⡻⣿⣦⡉⠷⠈⠁⠌⠐⠈⠀⠂⠀⢀⠀⡀⠈⠀⠀⠀⠀⠀⢀⠈⡀⠂⠌⠠⠑⠠⣁⣴⣾⣿⣿⣿⡇⢀⠘⠠⠑⣌⢸ ⣿⣿⠀⠰⠘⣆⠣⢹⣯⢟⣿⣷⣦⣤⣀⡀⠀⠀⠀⠈⠀⠀⠀⠀⠐⠈⠀⠂⠁⠀⠀⠀⠈⢀⣀⣤⣛⣵⣾⣿⠿⣩⣿⠇⠀⠌⣁⠚⡄⣻ ⣿⣿⠀⠐⡩⢄⡉⣾⡷⣋⠶⣭⢙⡛⠿⣿⣿⣷⣶⣶⣴⣦⣴⣰⠶⠴⠦⡴⢤⢶⣴⣶⣾⣷⣾⣿⡿⣟⠫⡥⢛⡴⣿⠇⠀⠒⢠⡙⡄⣿ ⣿⣿⠀⠠⡑⠠⢂⣿⡟⣭⣛⢦⢫⡜⡱⢬⡳⣏⢿⣹⣛⣟⡻⣿⣿⣌⡱⣘⣢⣿⣿⡟⣯⢻⡝⣶⣹⢆⡻⢜⡣⣜⣿⠀⠠⠉⡄⡞⡴⣿ ⣿⣿⠀⠠⠑⢠⢱⣿⡹⢶⡹⢎⡖⣹⢐⢫⠷⣭⣳⣧⣿⣼⣷⣿⠿⠉⣿⡟⠛⠹⣿⣿⣾⣧⣟⢶⡹⣎⠵⣋⢶⣯⣿⠀⠀⡡⢸⡱⣽⢷ ⣿⣿⡀⠄⡉⠤⢸⣿⡹⣇⢯⡓⣜⢲⣭⣾⣿⣿⢿⣿⣿⣿⣿⠀⠀⠀⡙⠀⠀⢠⣿⣿⣟⣿⢿⣿⣿⣼⣲⣭⣿⢶⡿⠀⠀⠄⣳⢡⣿⢫
⢿⢻⡛⡏⢏⡟⢻⡹⣛⠟⠛⡉⠛⡙⠛⢿⣏⠻⣟⢫⣟⣿⣿⡿⣝⢯⢯⣽⡻⢼ ⢇⢧⠳⡙⠦⣘⠡⡑⢄⠊⠡⢀⠁⠄⡈⠄⢋⠗⡬⢳⣮⡽⣒⡟⣾⡹⣎⣣⠵⣸ ⢌⢢⡑⠥⢃⡄⢣⠐⠠⠈⠄⠠⢀⠂⠠⠈⡄⢊⠑⡈⢿⠓⡰⣿⣖⡹⢳⢧⣛⢸ ⢨⠐⡌⠘⣤⠘⢠⡌⢠⠁⡌⠐⠀⡄⠁⡎⠐⡌⠐⢠⠈⣤⠁⢻⣿⡖⠉⡎⣽⢸ ⢀⠣⢌⣱⣤⣳⣦⣶⣌⣒⠤⣃⠔⡠⢃⠄⢣⠐⡡⠂⢌⠠⡘⢦⣿⣏⠱⠲⣍⢺ ⣌⣾⣿⣿⣿⣿⣿⣿⣿⣿⣷⡈⢆⠑⡈⢐⠂⠱⢠⠑⣈⠶⣙⢶⣳⣮⣯⣷⣼⣸ ⢻⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣇⠀⠂⠐⠠⠈⡐⢀⠣⢜⡸⡹⣾⣿⣿⣿⣿⣿⢿ ⠉⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣷⡈⠐⠀⠀⡀⠀⠄⠂⠂⠡⡑⣿⣿⣿⣿⣿⣿⣿ ⣍⠦⣌⢛⡛⠿⠻⠟⠛⠋⠁⠄⠐⠀⠐⣀⠐⣨⣴⣞⣦⣧⡔⡘⢿⣿⣿⣿⣿⣽ ⢌⠲⢤⠃⢈⣤⡞⠻⣧⠀⠠⠀⠀⠂⢀⠸⠿⢿⣿⢾⣾⣿⣿⠗⠠⢉⠙⠋⣻⢻ ⣌⠓⡎⡔⣻⡶⢫⣵⡟⠀⠀⢀⠡⠀⠆⠠⠐⣀⠚⡿⡟⢋⠠⢈⠐⡄⡈⡔⡹⢻ ⠀⡜⢣⡸⠟⠀⠀⠟⠃⠘⠠⠀⡄⢣⠘⡤⢛⡄⣻⣸⡧⢄⠣⠄⡤⢀⠣⣘⠣⢼ ⡐⠌⠡⠐⡀⠌⠐⠠⢈⢂⠡⢣⠜⣧⣷⣔⣣⣞⣵⣿⣿⣮⣣⠝⣤⢋⡔⢢⡱⢸ ⠰⣈⠑⢂⠠⠐⡈⡐⠌⢢⠙⣆⢫⠴⣩⢛⡝⣫⢛⠦⣭⢙⠿⣿⠶⣍⡞⣥⢓⢸ ⠱⠄⠎⢆⠳⡐⢄⠢⢉⠦⣙⠬⡒⡍⢦⡉⢖⡡⣋⡞⣤⢋⡞⣵⣻⣞⡼⢦⣏⣸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠛⠁⢀⣀⠤⠤⠤⣶⣶⠒⣒⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠞⠁⢀⡤⠚⠉⣀⠠⢖⡋⠤⠤⠤⢤⣀⠈⠑⢯⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠖⢋⡀⢀⡴⠋⠀⢰⡌⠡⢊⡡⠤⠒⠈⢉⣀⣀⡀⠙⢦⡀⠈⣧⣾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠞⣡⠶⠋⠀⡞⡠⢊⠤⠤⣷⠐⣁⣤⣖⡮⠿⠥⠤⠤⠬⣷⣤⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢈⣥⠞⠁⠀⠀⣸⠋⠁⠘⠀⣰⡾⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⢹⠉⠉⠙⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠛⠁⠀⠀⠀⢀⡏⢠⠀⡃⢰⡇⠀⣀⡤⠤⢤⡀⠀⠀⠴⠒⠢⠤⢄⣘⣄⠀⣆⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⢸⠀⡄⢸⡄⠋⢁⣀⣤⣀⠀⠀⠀⢀⣤⣤⣄⡀⣹⡟⠀⢹⡆⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡿⢀⡆⠀⠘⢸⣟⣻⡿⣟⠛⡟⠀⠀⠀⠙⣟⡙⡿⣿⣽⡇⠀⢸⢱⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⠃⡼⡀⠀⢰⠘⡇⠀⠀⣿⣿⠇⠀⣄⠀⠀⢿⣽⣇⠀⢸⣷⠀⢸⠈⡄⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⡜⠀⡇⠀⡎⠀⣧⡀⠈⣋⣁⣀⣀⣉⣀⣀⣈⣉⣁⣠⣾⠘⡀⠸⡀⢃⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡴⣫⡞⠀⢠⢃⠜⠀⢸⢋⣯⣉⣻⣇⣠⣤⣤⣤⣤⣤⣿⣯⣽⠀⡇⢇⠀⢣⠈⡆⠘⣇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⣾⢟⡿⠛⡇⡰⢁⠎⠀⢀⡟⣸⡩⢽⠙⡿⢦⣤⣀⣀⣤⠾⣏⠀⢈⠀⢳⠀⣄⠀⠱⣜⢆⠈⢧⡀⠀⠀⠀⠀⠀ ⠀⢰⢯⢣⠞⠀⣸⠀⠁⡜⠀⠀⣾⢰⢹⠀⣼⣴⡷⠀⠀⠁⠀⠀⠀⣧⣰⡄⠙⡏⢇⠘⢆⠀⡈⠛⠦⡈⠳⣄⠀⠀⠀⠀ ⠀⢸⠏⡟⠀⢠⡿⠀⠀⠱⡀⠀⢿⣤⣿⣿⡁⠘⢷⣄⠀⠀⠀⣀⡴⠟⠉⡿⣷⣶⣼⡄⠈⢆⠁⠀⢀⣈⠲⡈⢷⡀⠀⠀ ⠀⢸⢸⠁⢠⠏⢠⠀⠀⢀⢀⠀⠘⣿⣿⣌⢻⣦⡀⠙⣻⡶⠞⠋⢀⡠⠞⠁⣿⣿⣿⡇⠀⠘⣇⠀⠘⣿⡷⣌⣄⣧⠀⠀ ⠀⠸⣾⣤⠏⢠⠋⠀⢠⠎⢨⠃⢀⣾⣿⠮⣿⡈⠻⣿⡉⠀⣀⣴⠛⢧⡰⠁⣿⣿⡿⠀⠀⢠⢻⠀⠀⠘⢷⡙⣇⠹⡇⠀ ⠀⢠⡞⠁⡰⠁⣀⠔⠁⡴⠁⢀⣈⣿⣿⣴⠋⢫⣷⣋⡿⢾⠁⠀⣦⠞⣧⣰⣿⣿⠁⠀⠀⡎⠘⡄⠀⠀⠀⢳⣸⣴⣿⠀ ⢠⡏⠀⠈⢀⡾⠁⢀⡎⠀⠀⣼⣿⣿⣿⣿⣶⠟⠻⡁⡔⠋⢙⣖⡇⠀⣸⣿⣿⣿⣷⣄⣰⠀⠀⠑⣄⠀⡄⠀⠛⡏⠸⠀ ⠸⡄⠀⠀⣼⠀⠀⡜⠀⠀⢸⣿⣿⣿⣿⣿⠿⡖⢤⣟⠀⡰⠊⠈⣻⠊⠀⣿⣿⣿⣿⣿⣷⠀⠀⠀⠈⠳⡘⡄⠰⠁⡇⠀ ⠀⢧⡀⠀⢻⣦⠀⢣⡀⠀⠈⢻⣿⣿⣿⣿⠇⢘⠎⠉⣦⣤⡴⠊⢸⠃⢸⣿⣿⣿⣿⡿⢻⠀⠀⠀⠀⠀⠘⣾⠀⠀⢧⡀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⠀⠀⠀⠀⠀⡘⢀⠀⠀⢀⡀⠤⠒⣡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⡀ ⠀⣾⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⢠⣾⠀⢀⣠⠤⠶⣶⠗⢿⠿⣯⣤⡀⠒⠉⠉⠉⠉⠉⠉⢀⣀⣤⠴⠖⠚⠋⡩⠋⠙⣇⢻⡇ ⠀⣿⡏⠘⢭⡉⠛⠓⠦⢤⣤⡴⢃⡷⠚⠉⠀⠀⡠⠃⢀⡏⠀⠀⠀⠈⠉⠑⠒⠠⠴⠶⠯⣩⠄⠀⠀⠀⣠⡾⢄⣀⠀⢿⠈⣧ ⢰⣿⡇⠀⠀⠙⢆⠀⠀⡰⠋⣴⣿⠖⠈⠁⢀⡔⠁⢀⠎⠀⠀⠀⠀⠀⠀⠀⠉⠑⣲⢷⣯⣀⠀⠀⢀⡴⠋⠀⢤⡀⠀⢸⣿⣿ ⣾⣿⣇⠀⠴⢂⣉⣷⣾⠁⡜⡱⠁⠀⣀⡴⠋⢀⣴⢁⣀⣀⠈⠉⠑⠢⠤⣀⠉⢉⡠⠊⠉⠢⢍⠙⠛⠒⠒⠒⠒⠛⠆⢸⣿⡏ ⢸⣿⣿⠀⢠⠎⠀⡼⠁⠛⠰⢁⠴⠊⠁⠀⠀⠁⠀⠀⠀⠀⠀⠁⠒⢤⡀⠀⠉⠛⠔⠢⢄⠀⠀⠙⠢⡀⠀⠀⢠⢄⣸⣸⣿⡇ ⠀⣿⣿⠀⡎⠀⢀⡇⠀⢀⡞⢁⡠⠀⠀⠀⠀⠀⠠⢄⠀⠀⠀⠀⠀⠀⣈⠢⡀⠀⠀⠀⠀⠙⠄⠀⠀⠈⢢⡀⢸⡀⠈⢹⣿⠀ ⠀⢿⣿⡆⢰⣠⡾⡇⠀⣾⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠈⠑⠻⡄⠀⠀⠀⠀⠈⢆⠀⠀⠀⠹⡞⠃⠀⣾⡟⠀ ⠀⠸⣿⣷⠀⠸⢧⠘⢄⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠘⣆⢸⣿⠃⠀ ⠀⠀⠹⣿⣧⠀⠈⢳⣬⣳⡤⠤⠤⢤⣀⢀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠒⢦⣀⠀⠀⠀⠁⠀⠀⠀⠀⢹⡆⠏⠀⠀ ⠀⠀⠀⠹⡽⣧⡀⡼⡿⡇⢳⠤⢄⣀⣽⣷⣶⣌⠙⠲⣤⡤⣀⣀⡉⠾⢯⣭⠭⠶⣶⣤⡉⠑⢄⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣧⣷⠘⣦⣧⣾⠋⠁⠀⠈⠑⠠⢄⣈⠑⠤⣀⠈⠉⢒⡼⣶⣄⠀⠉⠓⢄⠀⠳⣦⡀⠀⠀⠀⡀⢹⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⡿⡀⢿⣏⠁⠀⠀⠀⠒⠤⢄⠀⠀⠁⠈⠉⠉⠉⠁⠀⠀⠙⣧⠀⠀⠀⠑⢄⠙⡝⢄⠀⠀⢇⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢳⢳⣾⣿⡆⠀⣠⣴⣶⣷⣶⣦⡄⠀⠀⠀⠀⠀⣿⣿⣷⣶⣦⣤⣄⡀⠀⢨⢧⣸⡄⠳⣤⡘⢾⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⡴⠛⡆⣿⣿⣿⣿⣿⡛⠁⠀⠈⠉⢁⣦⡤⠀⠀⠀⠉⠙⠳⣜⣯⡭⠻⢿⣦⡎⡼⣿⡟⣄⡼⠑⠚⠃⠀⠀ ⠀⠀⠀⠀⢠⡾⠋⠀⢀⡟⠉⣿⡏⠛⠛⠀⠀⠀⠀⠀⢀⠀⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣼⣿⣤⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡿⠁⠀⢠⡟⠀⠀⠻⣿⣄⠀⠀⠀⠀⠀⠀⠘⣿⠟⠛⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⠟⠁⠙⠧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠃⠀⠀⣞⠀⠀⠀⠀⠈⡏⠳⠦⣄⣀⠀⠀⠀⠘⠦⠤⠞⠀⠀⠀⠀⣀⣠⡤⣴⠾⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠘⢆⠀⠀⠀⠀⠙⢦⣄⠀⠈⠙⢷⣶⡶⠿⡶⠦⠤⠴⢶⣾⠟⠉⠀⠀⠈⢹⠳⣤⡤⠖⠒⠋⠙⠲⡄⠀⠀ ⠀⠀⠀⠈⣆⠀⠀⠀⠀⠙⠒⠤⠤⠤⠤⢬⠟⠀⠀⠀⣼⠀⠘⠃⠀⠀⠀⡟⠀⠀⢀⣀⣤⠴⠋⠀⢹⠀⠀⠀⠀⠀⠀⢻⠀⠀ ⠀⠀⠀⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⢀⣿⠀⠀⠀⠀⠀⠀⡇⠀⠀⠋⣹⡇⠀⠀⠀⡟⠊⠉⣿⠀⠀⠀⡿⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠁⠒⠢⠤⠤⠤⢤⡞⠀⠀⠀⠀⣸⢻⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠘⣧⠀⠀⢸⠁⢀⡼⠃⠀⠀⡸⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⢀⡟⡾⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠘⡇⠀⣎⡠⠊⠁⠀⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⢀⣼⣷⠃⣀⣀⣀⠀⠀⠀⠸⣇⠀⠀⠀⠀⢀⣼⠯⠤⠤⠔⠚⠂⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣻⡶⠖⠛⠁⠀⠀⠈⠉⠀⠀⠀⠀⠀⢹⣤⣤⡤⣾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠙⣗⣲⢮⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣾⣿⡿⠶⠤⣤⣤⣄⣀⣀⡴⠒⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢯⣉⣿⠷⠋⠉⠈⠇⠀⠀⠀⠀⠈⠀⠉⠀⠉⠓⢼⣀⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡐⠧⢹⠀⠀⣀⣴⣴⠂⠤⢄⣰⡦⢄⣀⠀⠀⠀⠀⠈⡆⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣤⠇⠀⠘⣦⠞⣱⢻⠌⡟⠀⠀⠀⠀⠀⠓⠦⣄⠀⠀⢀⢻⣰⡼⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀i kill teagan bcuz I hate dandy's world⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠻⣇⠀⠸⡤⢇⢸⠀⡿⠀⠀⠀⠀⠀⣀⣠⠼⢿⣸⠿⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀i hate the game they kick me out⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⠀⠀⠘⢮⡿⠷⠛⠀⠀⠀⠚⠉⠀⠀⠀⠀⠁⠀⣰⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀so I KILL teagan⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠉⠒⠤⣀⡀⠐⠤⣄⣙⡆⠀⣀⡤⠺⠵⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀im so uwu unicorn my new tag is⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⣩⠉⢩⠁⠀⢀⡠⠦⠒⠒⠒⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀emilyunicorn⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠻⡈⠉⠢⢄⠀⠀⠀⣀⡤⠤⢴⣃⣀⠈⣆⡴⢏⣀⣀⣀⣀⣀⠀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀❌dandysworld❌dandysworld⠀ ⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠉⢲⡞⠃⠀⠀⠀⠀⠀⠈⠉⡠⠋⠀⠀⠀⠀⠈⠦⣀⣀⣧⣀⡠⢄⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⠤⣼⠀⠀⠀⠀⠀⠀⠀⢠⠞⠃⠀⠀⠀⠀⠀⡴⠊⠙⢯⠉⠉⡍⠒⠲⠤⣀⡈⠉⠉⠒⠦⠤⣀⡀⠀❌dandysworld ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⢿⠄⣀⠀⠀⠀⠀⠀⠘⢦⡀⠈⢷⢼⣿⡒⠤⠖⠚⠙⣕⣲⡆⠤⠤⠤⣽⠄ ⠀⠀⠀⢀⣀⣀⣀⣠⠴⠊⠙⠒⠲⠤⠖⠒⠒⠒⠒⠊⠀⠀⠉⢢⡀⠀⠀⠀⠀⠈⠑⠛⡏⠉⠻⡦⠀⠀⠀⠀⣀⠙⠒⣲⠞⠉⠀❌dandysworld ⠀⡴⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⢸⣆⡠⠒⢦⢐⣹⣩⠷⢒⠋⣀⡀⠀⠀ ⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⢀⣴⠛⠼⠹⠷⠿⡿⠷⢾⣟⣋⡹⣥⣉⡿⠀ ⠀⠀⠉⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠚⠁⠀⠀⠀⢸⣀⣀⣀⣀⣀⣀⣙⣄⡀⠀⠀⢹⣷⡤⠀⠀ ⠀⠀⠀⠀⠀⠉⠙⠒⠒⠠⠤⠤⠤⠤⠤⢤⠤⠀⠐⠒⠒⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠉⠙⠢⣍⢉⢶⠚⠳⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⡀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢴⡟⠁⠀⠀⠀⠀⠀⢠⢷⠒⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⣡⢞⠁⠀⠀⠀⠀⠀⠀⠈⢫⣦⣄⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣾⣿⣷⣶⣤⡀⠀⢀⣠⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⢀⣴⡿⠟⠁⠀⠀⠀⠀⠈⠻⣿⣾⠿⠛⠉⠉⠛⢿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣾⠿⠿⠿⠿⢿⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠈⠻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣿⠋⠀⠀⠀⠀⠀⠀⠙⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣴⣾⠿⠿⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⢀⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀ ⢀⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀ ⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠀⠀⠀⠀⠀⠀ ⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⢀⣠⣤⣾⡟⠁⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⢿⣶⣶⣶⣿⣿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣵⣾⣿⣿⡄⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣧⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣦⣤⣤⣤⣤⣤⣤⣴⣾⠿⣿⣿⡿⠋⠀⠙⠋⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠻⠿⢿⣿⠿⣷⣦⣤⣤⣤⣤⣤⣶⡾⠿⠛⠁⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠿⠋⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣿⡆⠀⠈⢩⣭⣭⣭⣭⣤⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⡄⠀⠀⠉⢹⣍⠉⠉⠉⠙⠋⠀⠀⠀⠀⠀⣀⣤⣤⣤⣤⣶⣶⣶⣦⣄⠀⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣿⣆⠀⠀⠈⠋⠀⠀⠀⠀⠀⣀⣠⣶⡾⠿⠛⠉⠉⠉⠁⠀⠀⠀⠈⠉⢁⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⡀⠀⠀⠀⢀⣤⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⡏⠀⠀⠀⠀⠀⠀⣤⣶⣿⣿⣶⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⡿⠿⢿⣦⣤⣀⠘⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣾⠟⠋⠙⢿⣦⣄⣀⣀⣤⣾⡟⠁⠸⠿⣿⣶⣤⡀ ⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠀⣍⠙⠻⠿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠿⠟⠛⠉⠀⠀⠀⠀⠀⠉⠛⠛⠛⠋⠁⠀⠀⠀⢰⣶⣬⣿⣿ ⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⣰⣿⠇⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡀⠀⠀⠀⠀⠀⠀⢀⡀⢸⣿⣶⣿⠇⠀⠀ ⠀⠀⠀⠀⣿⡇⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⣀⣴⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣾⣿⡏⠁⠀⠀⠀ ⠀⠀⠀⣸⣿⠃⠀⠀⣾⡏⠀⠀⠀⣀⣤⣶⡿⠿⠛⠀⠿⢿⣶⡄⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⣿⡃⠀⠀⠀⠻⣿⣶⣶⡿⠟⠛⢁⣄⠀⠀⣸⣷⣶⣿⠃⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⣿⣄⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⣿⣦⣼⣿⡿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠻⢿⣶⣦⣄⣠⣴⣾⠿⠋⠀⠈⠉⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⢻⣿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢿⠿⢻⠛⠿⢯⠻⠿⠿⠛⠛⠟⠻⣿⡛⢿⣿⢛⡻⣿⡿⣯⡝⣯⣝⡻⢿⠿⢟⡛ ⣊⡜⡡⢎⠡⠌⢃⠁⠂⠁⠀⠐⠀⠈⠻⡔⢢⢯⣽⡩⣿⢣⡟⡴⢋⡝⢦⡚⣬⡜ ⢀⡀⠃⡄⢀⠃⠄⠘⠀⠀⠀⠀⠀⡀⠠⠘⠄⢻⣿⠀⡏⠟⡸⣟⢧⡘⣇⠻⣄⠻ ⠠⡈⠡⠘⠠⢈⠀⠂⠐⠀⠀⠀⠄⠠⢁⠈⠀⡀⠄⢈⠁⢈⠁⡈⢧⣛⢬⡳⣬⢳ ⠀⠌⣤⣥⣷⣦⣮⣴⣌⠰⡁⠆⡈⠔⠠⠌⡀⠄⠈⡄⠒⠀⠃⣀⠠⢍⠲⢻⡵⣯ ⣼⣿⢿⣿⠛⣿⣿⣿⣿⣧⠘⠀⠠⠐⠀⢂⠐⡈⠴⣁⢅⣶⣾⣷⣿⣮⣧⢣⡝⣿ ⢻⣿⣶⣿⣶⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠘⠰⢩⣿⣿⢻⣏⣹⣿⣿⣷⠮⡽ ⡘⢿⣿⣿⣿⣿⣿⣿⣿⡿⠆⠀⠀⠀⠀⠀⠀⠐⠀⡈⢻⣿⣾⣿⣿⣿⣿⣿⢶⡱ ⠀⣀⠈⠍⠙⠋⢛⠉⠀⠀⠀⠀⠀⣀⣴⣤⣿⠿⡷⣶⡄⠛⢿⣿⣿⣿⣿⡟⠣⠉ ⡻⣿⣿⡦⣴⣿⣿⣷⠀⠀⠀⠀⠀⠈⠙⠛⣿⣻⣿⠿⠛⠁⡀⠀⠀⣉⣈⠀⣴⣶ ⠉⡛⠻⢿⡟⠁⢿⡟⠀⠀⠀⠠⠐⡀⢄⡂⣌⣿⡅⠠⡀⠄⠀⠀⢰⣿⣷⣶⣿⠋ ⡄⠉⠂⡍⠐⠁⠈⠀⡄⢠⠑⣦⣐⠈⠤⠘⣦⣿⣎⠑⠄⢃⠀⢁⡄⢁⡙⠋⢀⠀ ⢀⠁⢂⠀⠀⠠⠐⠠⠐⣠⠁⠙⠛⠿⠾⢿⡛⣏⠻⣷⣦⣦⡥⢤⢘⡰⢢⠜⣡⠚ ⠀⠎⡀⠆⠌⠠⢀⠡⡘⢄⠣⡙⢄⡠⢋⠤⡒⡬⡁⢄⣂⢩⣉⡡⢌⡴⢣⢞⡡⢏
⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠸⡄⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠟⠉⠉⢠⡞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠋⢠⠀⠀⣸⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠀⠀⠄⠀⣾⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡀⠀⡇⢠⣻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠐⠀⠀⠀⢀⣠⡾⢉⠀⠀⠠⠠⠁⠀⠀⠀⡆⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠻⡄⠉⠘⣿⣶⣾⣶⣖⡀ ⠀⠀⠀⠀⢀⡤⣲⣿⣿⡟⠀⠀⠀⠀⠈⠀⠀⠀⠀⠠⠀⠀⠈⠐⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⢱⠀⢰⣿⣿⡿⠋⠉⠙ ⠀⠀⠀⣴⡯⣋⣽⣽⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣼⢿⢻⠀⠀⠀⢁ ⣦⣤⣾⣿⣷⣿⣿⣿⠁⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢅⠀⠀⠀⠈⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠁⠀⣁⣿⡋⠀⠀⠀⣠⠞ ⠈⠿⣿⣿⣿⣽⣿⢨⠀⢰⡀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠑⠀⠁⠀⠀⡀⠈⠁⠉⠇⠀⠀⠀⠀⣩⡆⠀⠀⣠⠟⠁⠀ ⠀⢠⡙⣷⡾⡟⣧⡿⠀⢀⠘⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠠⠀⡂⠀⠐⠐⢈⢭⠈⡘⠀⠀⠀⢰⣟⣷⣶⠊⡅⠀⠀⠀ ⡀⠀⢀⠊⢳⣦⢸⣾⣆⠈⠁⠃⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠁⡀⠀⠀⡀⠁⠀⠀⠅⠈⠠⠀⠀⠄⠀⠀⣾⣻⣿⠃⡼⠁⣰⠆⠀ ⠹⣄⠀⢧⠀⢻⣿⣿⣿⣦⠀⠎⠀⠁⣁⡅⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⡀⢀⡼⢱⢿⠃⡰⠁⢀⡏⠀⢀ ⠀⢻⡄⠘⣆⠀⢻⣿⣿⣿⣯⡄⠀⠀⠀⠀⠀⠀⢡⡰⠀⠀⠁⠀⠀⠀⠉⠀⠐⠁⠀⠔⠀⠁⠂⠂⠂⠂⠘⠛⢐⣿⣿⢠⠃⢀⣾⠁⠀⢈ ⡇⠀⢿⠀⢹⡆⠘⣿⣿⣿⣿⣗⡄⠀⠈⡠⠄⠒⠉⠀⠀⠀⠀⢀⠀⠀⠀⠀⠘⠐⠒⠠⠤⠠⠀⠀⠂⠐⠀⢀⣿⣿⣿⣞⡆⢻⣿⠀⠀⠏ ⣷⠀⢨⠇⢠⣧⠀⢸⣿⣿⣿⡾⠹⠀⠀⠀⠃⠀⠂⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠀⠀⠠⠀⣸⣿⣿⣿⣧⣿⠚⠻⠀⢸⠀ ⡏⠀⡸⠀⡾⠈⢧⣈⣿⣿⣿⡟⠹⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣿⣿⣿⣷⣂⣀⡇⠀ ⢱⡀⢁⡰⠁⠀⠀⢛⡛⣿⣿⣿⠘⢠⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⣿⣿⣿⣿⣿⡿⠉⠉⢉⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠁⠀⠀⠀⠀⠀⠉⠛⠿⣦⡀⠀⠑⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⢞⠀⡠⠊⠀⠀⠀⠀⠀⢠⡀⠀⠈⢹⠠⡀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢐⢡⠃⠀⡁⠀⠀⠀⢲⢄⠀⠀⣫⢆⢔⣿⢇⡇⡆⠀⠀⠀⠀⠐ ⠀⠀⠀⠀⠀⠀⠈⠚⣷⣄⣱⢄⠀⠰⠁⡰⠕⠞⢊⣱⣼⡗⢸⢀⠁⠀⠀⣠⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣖⣢⣄⠉⠁⠀⢀⠎⢊⡿⠟⣾⠁⡸⠘⠀⠀⣴⢯⠀⠀ ⠀⠀⠀⠀⣠⣤⡀⣰⠈⡗⠚⠚⠃⡀⠀⠀⠀⠀⠀⢰⢹⠊⠀⡆⠀⣸⢏⠃⠀⠀ ⣅⠁⠀⠀⠹⢿⣿⠃⢀⢓⢄⠀⠈⢃⣀⢤⡎⠀⢀⣼⢰⠀⠀⡇⠀⡿⡀⠀⠀⠐ ⠿⠇⠀⠀⠀⢀⡧⠄⡜⡬⢀⡉⠢⠄⡉⠉⡀⢴⠁⣸⠘⣶⠤⠓⠚⢇⠀⠀⠀⠐ ⠀⠀⠀⠀⣠⠋⠀⡐⡐⢀⠀⠀⠉⠁⠁⠀⠀⢘⣶⣿⠀⡿⠀⠀⠀⠀⠡⠀⠀⠀ ⠀⠀⢠⠊⡌⠀⡰⣐⠄⠀⠁⠂⢀⣀⣤⣶⣾⣿⣿⣿⠀⡇⠀⠀⠀⠀⢰⠀⠀⠀ ⠀⡴⠁⠀⠃⠤⠿⠧⠤⠶⢊⡏⢿⣿⣿⣿⣿⣿⣿⣿⠀⣣⠁⠀⠀⠀⣆⣀⠀⠀ ⢼⢣⡀⠀⠀⠀⡐⠘⣿⣿⣿⣿⣦⣬⣍⠉⠉⠉⠉⠉⠉⠣⠀⠀⠀⡜⠘⡌⠑⠒ ⠘⠀⠈⡍⢏⣀⣧⣤⣿⣿⣿⣿⣿⣟⡡⢂⠄⠀⠀⣀⠴⢀⠃⠀⢰⠁⠀⠘⡀⠀ ⠀⠀⠀⢧⠀⠃⢻⣿⣿⣿⣿⣿⣿⣿⣷⣧⣮⣽⡿⠁⠀⢸⠀⢀⠳⠀⠀⠀⠰⠀ ⠀⠀⠀⠈⡄⢸⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠈⠀⡌⠀⡆⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀ ⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⣠⢶⢯⣱⠀ ⡧⡞⠁⠻⢗⣦⡀⠀⠀⣐⣦⣬⡼⢟⠳⠶⣄⣀⠠⡞⡴⠋⠀⡗⠂ ⡗⣇⠀⢁⠀⢺⡕⢶⡚⡱⢌⡱⢚⡋⣌⢣⠹⣌⠳⢿⡀⠐⣰⠽⠀ ⠸⡞⣆⡀⠂⢠⠞⡡⢜⡡⠎⡔⢣⠜⢤⠃⠧⣌⢣⡙⣶⡼⡳⠃⠀ ⠀⠘⠦⣝⡣⢟⡌⠷⠃⢸⡱⣌⢣⠚⡤⢋⠖⡤⢃⡞⠈⡟⠁⠀⠀ ⠀⠀⠀⠈⠙⣷⢸⢦⣤⣶⣶⣡⠃⣝⡰⣉⠖⣡⢟⣾⣟⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⣋⢞⠘⣿⣿⣿⣿⣧⠘⡰⢡⠚⡤⣿⣿⡿⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠩⢞⣑⡹⢿⣿⣿⠟⠀⠷⢓⣻⣲⠿⢟⠱⡚⠀⠀⠀ ⠀⠀⣠⠄⠀⠀⠙⢿⣏⠀⠀⠈⠀⠀⠀⠠⠿⠧⠀⣀⠔⠀⠀⠀⠀ ⠀⣰⣅⣽⣀⣀⣀⣀⠈⢁⡖⢢⢠⡤⠤⢤⠐⠒⠉⠀⠀⠀⠀⠀⠀ ⠀⣿⣩⢛⠤⣃⠎⡥⢋⠵⣈⠇⣎⠁⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢹⡌⢲⢡⠚⡴⢉⠲⣡⠚⡤⠇⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢈⣎⡱⢌⠽⠢⢽⡦⡑⢎⡜⠀⡀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠠⣟⢡⠚⢞⠛⡦⢸⡇⡜⡾⡘⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢳⡩⣬⢣⣝⣄⠈⡓⠬⣷⣡⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣉⣉⠠⣤⣇⠀⢋⠛⢃⣌⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣿⠃⠈⠁⠀⠈⢶⣿⠹⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠀⠀⠐⠀⠈⠉⠒⠒⠒⠤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢊⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠈⠲⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⢀⠎⠀⠀⣠⠂⠀⠀⠀⠀⠀⠀⢀⠀⢰⠟⢷⣄⠀⠀⢀⠀⠀⠀⠀⠈⠳⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⡣⢀⠎⠀⠀⡰⠁⠀⠀⠀⠀⠀⠀⢀⠎⢀⠏⡇⠘⡌⢢⠀⠈⢆⠀⠀⠀⠀⠀⠈⢻⡀⡀⠉⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡿⢁⡎⠀⠀⣰⠁⠀⠀⠀⠀⠀⠀⠀⡜⢀⡎⠀⡇⠀⢱⠀⠱⡀⠈⡆⠀⠀⠀⠀⠀⠀⢳⠀⠢⢄⠙⢆⠀⠀ ⠀⠀⠀⠀⠀⡾⠁⡼⠀⠀⢀⠇⠀⠀⠀⠀⠀⠀⠀⡜⢀⠞⠀⠀⡇⠀⠀⢆⠀⠱⡀⠸⡀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠙⢆⣧⠀ ⠀⠀⠀⠀⢰⠃⢰⠁⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⡼⢀⠎⠀⠀⠀⠇⠀⠀⢸⠀⠀⢱⠀⢧⠀⠀⠀⠀⠀⡃⢸⠀⠀⠳⡀⢻⠀ ⠀⠀⠀⠀⡞⠀⡎⠀⠀⠀⡇⡞⠀⠀⡀⠀⠀⡼⢠⠎⠀⠀⠀⢸⠀⠀⠀⠈⡄⠀⠀⢇⠸⡆⠀⡂⠀⠀⢸⠈⡆⠀⠀⠱⡀⡇ ⠀⠀⠀⢠⠃⢰⠁⠀⠀⠀⣇⠃⠀⢀⠧⢤⣼⣵⣁⡀⠀⠀⠀⠇⠀⠀⠀⢀⡇⢀⣀⣼⣶⠿⠉⠃⠀⠀⢸⣠⠀⠀⠀⠀⡇⠀ ⠀⠀⠀⢸⠀⢸⠀⠀⠀⠀⣿⡄⠀⢸⠀⣸⡟⢁⣀⠬⠭⠿⣿⠛⠁⠀⠀⢸⣟⣻⣿⡧⢿⣄⡆⠀⠀⠀⢸⣿⠀⠀⠀⠀⢹⠄ ⠀⠀⠀⡌⠀⢸⠀⠁⠀⠀⢻⣇⠀⣼⣤⡿⠋⣽⣿⣿⣿⠻⡇⠀⠀⠀⠀⠸⢿⣽⣿⣿⡄⢹⣇⡇⠀⢀⣿⣿⡆⡆⠀⠀⡘⠀ ⠀⠀⠀⠁⠀⢸⠀⡀⠀⠀⠘⣿⡄⣿⣿⡁⢰⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠇⣸⣿⡇⠀⣾⡸⠹⡇⡇⠀⠀⠇⠀ ⠀⠀⠀⠀⠀⢸⡀⡇⠀⠀⠀⢻⠛⣿⡏⠣⠘⢿⡛⢻⡿⠁⠀⠀⠀⠀⠀⠀⠀⠻⠿⠟⠀⠁⢏⣇⡎⢹⠃⠀⣷⠁⠀⡜⠀⠀ ⠀⠀⢠⠀⠀⢿⣇⢹⠀⠀⠀⠈⡇⡏⠁⠀⠀⠘⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢉⣀⡀⠸⣿⡇⢸⠀⠀⣿⢻⠙⡇⠀⠀ ⠀⠀⢸⢀⠀⢸⠘⡌⣇⠀⠀⠀⢣⡇⠀⠀⠀⠈⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⢠⣷⠃⣘⡀⢠⣇⡆⠀⡇⠀⠀ ⠀⠀⣮⠏⠀⢸⠀⠸⡜⡄⠀⠀⠘⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⢠⢾⣿⠀⣆⣇⣸⢿⠃⠀⠇⠀⠀ ⠀⢰⡟⠀⢠⢸⠀⠀⣿⣾⡄⠀⠀⢹⡗⢄⡀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⢀⠴⡏⢸⡏⠀⠸⣿⠃⡜⠀⠀⠀⠀⠀ ⠀⡿⡇⢰⢻⠈⡇⠀⣿⠸⣿⡄⠀⠀⢻⡀⢈⣲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⡇⠀⣃⣈⣁⣀⣀⣿⡟⠀⠀⠀⠀⠀⠀ ⢸⠃⡇⢸⢸⠀⢣⠀⡇⢀⡏⢹⣄⣀⣀⣻⣿⣟⣀⡙⢿⣶⣦⡤⠴⠒⠚⠟⣻⣽⡿⠟⠋⠁⣰⠿⠟⣻⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢳⣿⣟⡄⠘⢸⣧⠞⠻⠿⣷⣿⣿⣿⣿⠿⢿⣿⡿⠟⠁⠀⠀⣠⣴⣿⠟⠉⠀⠀⣠⣾⠃⠀⡘⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣯⢹⣇⢠⣿⠂⡀⠀⣴⣋⡿⠛⠉⢀⣾⡿⠋⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⢠⡞⠁⡇⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⠀⢿⡟⠀⠄⠐⠂⠀⠁⠀⠀⢠⡿⠋⠀⠀⣠⠀⢘⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠃⢸⡇⠀⠀⠀⠀⠀⠀⠀⠶⠋⠀⢀⡴⠛⠁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠻⢿⣷⡾⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣀⣠⡶⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣉⡷⣶⣾⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⣄⣀⣀⣀⣒⡀⠉⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡤⠤⢴⠖⠒⠛⠉⠉⠉⠉⠉⢹⣠⠋⠘⡆⠀⠀⠀⠀⠀⠀
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⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⡤⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠀⠀⠀⠀⠀⠀⠀⠀ ⢻⡿⡳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢞⣫⡭⠚⠋⠉⠉⠉⠓⢮⡳⡄⠀⠀⠀⠀⠀⢀⡼⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢷⢧⠙⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣫⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠛⠃⠀⠀⠀⠀⣠⠎⢀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⠸⡇⠀⠙⠶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣽⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⢸⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⡇⢻⠀⠀⠀⠈⠙⠦⣄⣀⣀⣠⠤⠶⠖⠿⢿⣷⡶⠶⠚⠛⠛⠉⠛⠲⠦⣄⣀⠀⣀⣠⠞⠋⠀⠀⠀⣼⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢷⠘⣇⠀⠀⠀⠀⢀⡞⠋⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢧⡀⠀⠀⠀⠀⠀⡿⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⡄⢿⡄⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⡇⠈⡇⠀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⣠⣧⣼⠁⠀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⣷⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⡟⢿⠃⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡟⣿⠀⠀⣀⣴⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⢻⣿⡿⣿⣼⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⡾⡅⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⣀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⣿⢸⣿⣗⢾⡿⣧⣇⣀⠀⠀⠀ ⠀⠀⠀⢸⠁⣧⠀⠀⠀⢠⠴⣿⡝⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠶⣄⠈⠉⠉⠓⠄⠀⡇⠀⠀⠀⠀⠀⢻⡀⣿⣟⣷⣧⣯⣧⣹⠇⠀⠀ ⠀⠀⢀⡟⠀⢸⠀⠀⠀⣸⣾⣿⣷⣶⣷⣤⣀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣷⣶⣦⣀⣀⠀⣧⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⢻⡿⣿⡿⠀⠀⠀ ⠀⠀⢸⡇⣼⢸⡆⠴⣺⡿⡟⡽⠋⠀⠈⢿⠿⣇⡀⠀⠀⠳⢾⡟⣽⠏⠀⠀⠈⢻⢿⡉⣿⠀⠀⠀⠀⠀⣼⡿⣿⣿⣽⣿⣷⠟⢳⠀⠀⠀ ⠀⠀⠈⣿⣿⢼⡇⢀⣿⣧⠸⡇⠀⠀⠀⢸⡆⠀⠙⡓⡦⠤⢄⣁⣿⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⢸⡿⣿⣦⣻⡿⣭⣻⡾⡇⠀⠀ ⠀⠀⠀⠘⠯⣿⠇⠈⠉⣷⣄⣳⣄⣀⣠⠞⠀⠔⣿⢿⠟⠀⠀⠀⠻⣤⣀⣀⣤⣮⡉⠁⢸⠀⠀⠀⠀⠀⠘⡇⠹⢷⣽⠷⠟⠉⢰⡇⠀⠀ ⠀⠀⠀⠀⠀⣼⡞⠀⠀⣿⣵⢆⡴⡦⠁⠀⠀⠚⠁⠉⠀⠀⠀⢀⣠⢶⣫⠿⠓⢻⡝⣦⣾⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⡿⠀⠀⠀ ⠀⠀⠀⠀⣠⡿⠀⠀⠰⠯⣿⣃⠎⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⢺⣶⠉⠀⠀⢀⣴⡿⠋⡟⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠠⣧⠀⠀⠀ ⠀⠀⠀⣴⣻⠇⠀⠀⠀⠀⠀⢸⡟⠓⢦⣤⣀⠀⠀⠀⠁⠀⠀⢸⣛⣤⣴⣾⠛⠁⠀⢠⡇⠀⠀⠀⠀⠀⣤⡀⣷⡀⠀⠀⠀⠀⠘⢷⣄⠀ ⠀⠀⢸⣧⣿⢀⡄⠀⠀⠀⠀⢨⣷⠴⠚⠀⣉⢹⡗⠒⠤⠶⠺⣏⣩⠏⠀⠈⣛⣲⡆⠸⣧⠀⡾⠀⠀⠀⡽⣷⣻⡇⠀⠀⠀⠀⠀⣤⢹⡆ ⠀⠀⠈⠻⣯⢸⢿⡀⠀⠀⢠⡀⣿⣶⣦⣄⡈⢻⣧⣄⠀⣠⠴⠿⣥⣴⣲⡯⠿⠚⢳⣠⣿⠂⣿⣄⠀⠀⠹⣾⣿⣧⢾⡗⢀⣤⡼⢿⣯⡇ ⠀⠀⠀⠀⠹⣼⠀⢳⣄⠀⠀⣿⢿⡏⠉⠉⠉⠉⠉⠙⠋⠉⠉⠉⠉⠁⠀⠀⠀⠀⣸⠋⠹⣄⡇⠹⣦⡀⠀⠘⣿⠁⢸⡟⠉⠁⠀⠈⠉⠀ ⠀⠀⠀⠀⠀⠙⠀⠀⠈⠳⠦⣽⡀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠙⠇⠀⠈⠙⠲⣄⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠉⠙⠙⠉⠙⢉⡂⠏⠄⠼⣓⡂⢄⠀ ⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡇ ⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢧ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⡿⠟⣀⣀⡀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⡘⢸ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠔⢁⣤⣤⣤⡑⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸ ⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢸⢀⣿⡿⣛⠻⣿⣦⠘⠆⠀⠀⠀⠀⠀⠀⡠⠘⠀⡜ ⠀⠀⡆⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠘⡈⣿⣌⠦⢘⣼⣿⠂⢸⠀⠀⠀⠀⠀⠀⠀⠀⠃⠃ ⠀⠀⠱⡘⢿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿⠋⠋⠉⠀⠀⠀⠀⠀⠑⢌⣿⢿⡿⠟⣃⣴⡿⠂⠀⠀⢀⠀⠀⠀⢸⡜⠀ ⠀⠀⠀⠑⢄⠀⠀⠸⣿⣿⣿⡿⢿⣿⠇⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⢏⢹⠋⠉⠀⢸⠁⠀⠀⠀⠀⠀⠒⠐⠋⠀⠀ ⠀⠀⠀⠀⠀⠉⠒⠤⠽⣿⣟⣁⡀⠁⠀⠀⠮⠵⠮⠵⠦⠏⠖⠀⠀⠸⣸⡄⣀⣀⣎⣀⡀⠠⠤⠀⠂⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠉⠉⠉⠀⢀⠶⣀⠀⠀⠀⠀⡠⠞⠉⠩⢻⡍⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠠⠀⡇⠒⠒⡏⠀⠀⠀⢠⠀⡋⣆⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⣦⣤⣤⣾⣇⠀⠀⠃⠀⠀⠀⣠⠞⡖⠀⢀⠷⢣⠀⠀⠣⠀⠀⠀⠸⠀⢸⠈⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣈⣿⣿⣿⣿⣿⣿⣦⣄⣀⣀⣤⣾⣿⠃⣠⣤⠎⠀⠂⠀⠀⠀⠀⠀⠀⠀⠇⠀⡇⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡿⠃⠀⢸⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⢀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⠿⠟⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠘⠤⣀⣀⠀⠀⠀⢀⣀⡃⠀⢸⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⢻⠏⠁⠀⠀⠀⠀⠀⠢⣀⣤⠤⢄⣸⣀⣀⡅⠀⢸⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡇⡂⠀⡆⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⡆⢁⠀⡇⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠈⠁⡇⠸⠀⢰⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡇⠀⢃⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⡃⠀⠸⠄⡀⠈⡙⢪⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠐⠂⠘⡀⠀⡇⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠘⢄⡇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢄⠀⠀⠀⠀⠀⢇⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⠤⠤⠐⠊⠒⠒⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⠟⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣿⣿⣿⠟⠁⡠⢹⣿⠀⠀⠀⢀⣴⣾⡆⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⠇⢐⡞⠁⣿⠃⠀⢀⣴⣿⣿⣿⠁⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣿⣿⣿⣿⣿⣿⣧⣶⣿⡦⠀⣿⠀⡠⠀⣹⣿⣿⣧⣴⣿⣻⣿⣯⡟⡿⠛⣿⣿⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣏⡿⣿⡵⣡⣦⣿⣾⠃⠀⣿⣿⣿⣿⣿⣿⣿⢿⣿⡿⠇⢀⣿⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣷⣯⣿⣿⣿⣿⣿⣿⠋⠀⢸⣵⡷⢱⣿⡏⢂⡼⣻⢿⣿⣿⣿⣿⣿⢸⣿⣿⣢⣞⣿⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⢯⣿⣿⣿⣿⣿⡟⠁⠀⠀⣼⠟⠀⣼⣿⣶⣋⣼⣵⣿⣿⣿⣿⣿⣿⢸⢸⣿⣿⣾⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⠟⠀⠠⣴⣞⣭⣠⣾⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⣄⡀⠀⢀⣤⣾⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣏⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⣿⣏⣿⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣯⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡟⡿⣿⣿⣿⣿⡿⠿⣿⡿⣿⣿⣿⡟⠀⢀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⣤⣾⣿⣶⣄⠈⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣯⠾⢋⣼⣏⣺⣿⣿⣿⠈⣠⣾⣿⣿⣷⣶⣧⣾⣿⣿⣿⣦⠀⠀⠀ ⠀⠀⣸⣿⢷⣿⣿⣿⣷⣜⣿⣿⣿⣿⣿⣿⣯⣿⣿⣻⣿⣿⣿⣿⣿⣦⣫⠟⣡⣟⣿⣿⣧⣿⣽⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣾⣧⡀⠀ ⠀⢰⣿⣟⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣭⣿⣿⡿⠛⠋⠉⠉⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⠟⣿⣿⣿⣿⣛⣛⣿⣿⣿⣷⣿⣷⡀ ⠀⣿⣿⣽⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠁⠀⠹⡇⠀⠀⠀⢸⣿⠿⠿⣿⣿⣿⣿⣿⣿⣿⠁⢸⡿⢿⣿⣟⣿⣮⣙⠻⠿⢿⣿⣿⣇ ⢠⣿⣷⣿⣿⣿⠿⢛⣽⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠙⢦⡀⠀⠸⣧⠀⠀⠈⣿⣿⣿⣿⣿⣿⣆⢸⡄⠀⣹⣿⣿⣿⣿⣷⣄⠀⠈⠉⠉ ⠸⣿⠿⠛⠉⠀⣠⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠙⠦⢄⣙⣧⣤⡾⠟⢿⣿⣿⣿⣿⣿⠷⠿⢿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣇⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣶⣿⣿⣷⣤⣍⣿⣿⣿⣟⣿⠃⠀⠀⠀ ⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡜⢾⣄⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣾⣿⣿⣼⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠻⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣮⣿⣮⣳⡳⣄⠱⡄⠀⠺⠿⢷⣄⡀⠀⠀⠀⠀⠀⠀⣩⡟⠛⢹⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⣿⣽⡿⣿⣿⣿⣿⣿⣇⠁⢿⣷⣿⣮⣣⣈⡲⡔⢦⡀⠈⠙⠳⠦⣤⣀⣠⣴⣋⣤⣴⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⠀⠘⣿⣿⡞⢝⣿⡿⣻⣿⣿⣶⣤⣀⡀⠀⠀⠀⣠⡴⠛⠉⢿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⠀⢀⣿⣿⣷⣿⣿⣾⣟⣵⣿⣴⣺⣿⣍⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⡟⠀⠺⠏⣯⠿⣿⠻⠛⠈⢿⣷⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⣀⣴⣿⣤⣾⣿⣿⣿⣿⣿⡁⠀⠀⠀⠁⠈⠁⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣶⣤⣄⡀⢀⣤⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣯⣯⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡟⣿⣿⣷⣄⠀⠀⠀⠀⢀⣾⣿⣿⡿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⣶⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠤⠤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⢀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⡇⢻⣿⡻⢿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⢸⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠠⣿⣿⣿⢿⠣⢼⣿⣶⣾⣿⣏⠂⠤⠀⠀⠀⠀⠀ ⢸⡸⢿⣿⣿⣿⣿⣿⣯⣫⣇⣤⠛⠋⠈⢢⣶⣾⣿⣿⣿⣿⡿⣀⠀⠀⠀⠀⠀⠀ ⠉⠃⠉⠉⠙⠻⣿⣿⣗⠝⠿⠖⠀⠀⠀⠘⠛⠋⢻⣿⣿⣿⠃⠠⠥⢤⠀⡒⠂⠠ ⠀⠀⠤⠤⠄⠤⠬⣻⣧⣑⠂⠀⠀⢀⠄⠀⠀⡀⣜⠿⠋⢁⡡⠖⡠⠛⣾⠹⠥⠄ ⠂⠂⠀⠂⠉⠉⠁⠀⠊⠙⢿⣿⣷⡾⠿⠿⢿⣿⡳⣤⣧⣫⠀⣈⣠⠞⣿⠀⠀⣄ ⠀⠀⠀⠀⢀⣤⠒⠔⣒⠘⠍⢘⡩⠋⠉⢛⠍⠀⠀⠀⠒⠙⠒⠼⣸⡠⠟⠀⠀⠉ ⠳⠶⣦⣂⠁⠀⠐⠁⠀⡠⠺⠉⠀⡐⠈⢁⣉⠀⠒⠀⠀⡤⠔⠚⠉⠉⠍⡑⡀⠀ ⠀⠀⠀⠉⠙⠲⢤⣦⡁⠸⡠⢴⠞⠛⣻⠯⣍⡙⠓⠶⢬⣀⡀⠀⢀⡀⠢⡈⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⠈⠀⠃⠀⠈⠁⠋⠾⡤⣙⡛⠳⣶⠎⢿⣧⣤⣹⡷⢜⠉⠋
⠀⠁⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠙⢷⣌⠻⣦⡈⠙⣷⣤⣄⠈⠉⠁⠿⢿⣧⠀⠀⠀⢻⣿⣶⡇⠀⠀⠀⢠⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡌⢻⣄⠈⢿⣿⡇⠀⣀⠀⢸⣿⣇⠀⠀⠀⣿⣿⡇⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠿⠿⠶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣽⣷⣹⣷⣶⣹⣆⣐⣿⡇⢈⣿⣿⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢤⡄⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⣽⠉⠛⠛⠛⠛⠛⣷⡾⠛⠿⠃⠀⠒⢿⣇⠀⠀⠀⢰⡆⠀⠀⢸⣧⡀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠀⠀⠀⠀⠈⠛⠛⠓⠒⠂⠒⠒⠒⠲⠶⠶⡟⡁⠀⠀⠀⠀⢆⠉⠉⠀⠀⠀⠀⢰⠀⣠⢟⣷⠎⠀⢠⠇⠀⠀⠀⢿⣷⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠛⢛⣳⠇⠀⠀⠐⠿⠎⠀⠀⠀⠀⠀⠀⠀⠠⠏⣸⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠁⠀⣴⠋⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡯⠈⠻⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢁⣠⣾⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠃⠀⠀⢀⣼⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠻⣡⠟⠈⣡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣀⣀⣀⡀⠀⣠⣤⣤⣤⣤⣀⡄⠀⠀⣴⣿⣿⣿⣿⣿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⣃⣴⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠿⠿⠿⠿⠿⠿⠿⠿⠛⢻⡿⠁⠀⢰⣿⣟⣉⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⢀⣠⣾⢿⣿⣿⣶⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡛⠿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣶⠿⠋⣼⠃⣾⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣽⣿⣿⣿⣦⡘⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⡖⠀⣄⠀⠀⣸⡟⠁⠀⠀⢿⡀⢹⣿⣿⣿⣿⣿⣿⡿⣡⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢠⡀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⡷⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢿⣿⣿⡇⠀⣿⠃⢲⣄⠀⠘⢷⣄⠛⢿⣿⣿⠿⠋⣰⣿⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈⢿⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⠇⣸⣧⠀⠙⢷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠭⢉⣀⣠⣿⠟⡿⡸⢳⣄⠀⠈⠙⠛⠋⠀⢀⣤⣿⠿⢁⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣇⠉⢛⣿⣿⣿⣿⠟⣰⡿⠋⠀⣠⣄⣿⣦⣤⣀⡀⠀⠀⠀ ⣷⣶⣾⣿⣿⣿⣿⠿⢿⡞⠁⠁⠀⠈⠣⠀⠀⠀⠀⠀⣼⡀⡉⢠⡾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠈⠛⢿⣧⡀⠉⠛⠓⠒⠋⠁⣠⠴⢛⣷⣷⣾⢿⡟⠁⠀⠀⠀⠀ ⣿⣿⡋⠉⠉⢀⣀⣠⡾⢿⠀⢨⠟⣤⠄⠒⠀⠠⢀⡼⢁⡞⢁⣾⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣤⠂⢀⠀⠘⣿⠙⣄⡀⢠⡴⣾⠟⠉⣴⡋⠛⢻⣡⡾⠃⠀⠀⠀⠠⣴ ⢻⣿⣷⣼⣿⠿⢿⣦⣸⡆⠰⠀⠀⠁⠀⢄⡴⣵⢟⡵⠏⠠⠏⠈⠻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⠘⢿⣴⣿⡄⠀⢿⡤⢶⠉⠛⢒⡟⢀⡴⢀⣠⣴⣿⠁⠉⠉⠉⠉⠋⠀⠀ ⠀⢻⣿⣧⠀⠀⠀⠻⣿⣷⠀⠀⠀⠀⣠⢟⣴⡷⠋⠀⠀⠀⠀⠀⣰⣿⣿⠀⠀⠀⠀⠀⠀⠀⣠⠟⢲⡄⠀⣾⠉⣱⣿⡄⠀⠀⠀⠀⢀⠈⣥⣿⣿⢟⣿⣭⡿⠶⠤⢤⣀⠀⠀⠀⠀ ⠀⠀⢻⣿⣇⡐⣀⣀⣤⣾⣇⠀⢀⣠⡵⠋⠁⠀⡼⠁⠀⠀⠀⠀⠿⣿⣏⠀⠀⠀⠀⠀⠀⠜⠉⠀⠀⣿⠀⣸⣿⡿⠋⠀⠢⣀⠀⠀⠀⠀⣿⢿⣿⣯⣴⣿⡄⠀⠀⠀⠀⢀⣀⣤⣤ ⣤⣤⣴⣿⠋⠛⠛⠉⠉⣀⣽⡦⠿⡿⢀⣀⣿⣰⡷⠀⠀⠀⠀⠀⠀⠈⣿⣷⣆⠀⠀⠀⠀⠀⠀⢀⣤⣿⣷⣿⠟⠀⠀⠀⠀⠈⠛⠀⠀⠀⠉⢸⣿⠻⣿⡿⠀⠀⠀⢀⣴⣿⣿⣿⣧ ⠛⠋⢁⣀⣤⡴⠶⠛⢋⣭⣽⣷⣴⠇⠈⠁⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣦⣄⣤⣤⣤⣴⣿⣿⣿⡟⠋⠀⠀⠀⠀⠀⠀⠀⢸⡆⣀⠀⣸⡟⣰⡟⠁⠀⠒⠀⢸⣿⣿⣿⣿⣿ ⣶⣿⣿⣿⣥⣤⣶⣾⣿⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠀⠙⣿⡟⠉⠀⠈⠉⠀⠈⠛⢿⣿⣿⣿ ⣿⡿⠿⠿⠛⠛⠉⠉⣠⣤⠴⢶⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠤⠢⢤⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻ ⠀⠀⠀⠀⣀⣠⠶⠚⠁⠀⣠⣾⠇⣰⡦⠴⠶⠾⢦⠴⢤⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⣉⢙⡓⠲⠦⢤⣀⠀⠀⠀⠀⠀ ⠀⠀⠚⠋⠁⠀⠀⢀⣠⡞⣉⡴⢚⣩⠖⢀⡤⠞⠁⣀⡋⠀⣀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢶⡶⠲⠿⠟⢳⣖⢦⡀⠈⠙⠛⠳⣦⣄⠈⠉⠓⠲⢤⡀ ⠀⠀⠀⠀⣀⡴⠞⣩⡾⠋⠁⣀⣽⡿⣡⠟⢁⡶⣿⠟⢁⣾⡃⠀⢀⡂⠀⢀⣬⣦⣾⣿⣿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠑⢤⣀⠻⣷⣝⢦⡙⠦⠀⠀⠈⠙⠳⢶⣤⡀⠀ ⠀⠀⢠⣤⡤⠶⠛⢁⣤⣶⣾⠟⣫⡾⢋⣴⢏⣼⠁⢰⣿⣿⣱⣧⡏⠀⢾⡿⠿⣿⣿⣿⣿⣿⣀⡆⠀⠀⠀⠀⠀⠀⢀⡈⣧⣄⠀⠐⣦⠙⢷⣌⠻⣷⣭⡳⣦⣄⠀⠀⠀⠀⠈⠉⠀ ⣶⣿⠟⠁⢀⣤⣶⠋⢼⠟⣡⡾⢋⣴⡿⣻⡿⠃⣠⡾⠛⢻⣿⣿⣷⡀⢀⡁⠀⠈⠉⠉⠙⠋⠀⠀⠀⠀⠀⠀⡄⠀⠸⣷⢿⡜⣆⢷⡈⢷⡀⡿⣷⣌⢿⣿⣦⡙⢿⣶⣦⣄⠀⠀⠀ ⠉⢀⣴⣾⣿⣿⣶⡞⢩⣾⢟⣴⡿⢋⣾⡿⣧⠘⢹⠇⣴⣿⢿⣿⣿⣿⣿⣷⣴⣀⣀⣀⠀⡀⠀⠀⠀⠐⠀⣤⣿⡴⣦⢾⡎⣷⢻⡜⣧⠈⢻⣿⣎⠻⣷⣝⢿⣿⢷⣝⢻⣿⡻⣶⣄ ⣶⣿⣿⣿⣿⡿⠋⣴⠟⣱⠟⡉⢡⣿⣿⣧⡘⣧⡄⠈⢻⡽⢃⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀⣙⠘⣿⣿⡀⣿⢿⡏⢷⡸⣧⠀⠹⣎⣷⡌⠻⣷⡙⢷⣿⣷⣮⡻⣾⡿ ⣿⣿⣿⣿⠿⢁⡾⢋⣾⣛⡼⣡⣿⣿⣿⢾⡷⠸⢷⣄⠙⠷⢟⣿⠋⢹⣿⣿⣿⣏⣿⣿⠀⠀⠀⠀⣠⢸⣧⣿⣄⣿⣿⣿⣿⡟⢃⠸⣧⢻⡆⠀⠙⣿⢿⡆⠈⠻⣦⡻⣿⣽⣿⣾⡷ ⣿⣿⣿⢋⣴⠂⣠⣟⢸⢋⣴⣟⣿⣿⣭⢙⣷⡛⠈⣿⣶⣞⡙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣧⣶⣶⣶⣿⣿⣿⣿⣿⣿⡿⠋⠉⠇⢸⣧⢿⣧⢿⡄⠀⠘⣯⣻⣾⣦⡈⠻⣮⠻⣿⣿⣿
⠀⠀⠀⠀⠀⠀⢀⣹⡏⣿⡽⠟⢛⣋⣛⣛⣛⣛⠛⢾⣳⢿⣧⣊⠍⡙⠻⢶⣄⠄ ⠀⠀⠀⠀⠀⣰⣿⣭⣟⣫⡶⠛⡉⣉⢉⡉⢉⡉⠻⣦⣻⣯⡬⣽⣷⣆⡐⢈⢻⣷ ⠀⠀⠀⢀⣾⠏⠡⢀⣩⡿⠀⢂⠡⢀⠂⡐⡃⠠⣁⠈⠛⣥⠀⢄⠉⡙⠳⣦⡈⣿ ⠀⠀⢠⣿⠃⠈⠁⢲⣿⠇⠨⠄⢂⠡⠂⢸⡅⠂⠄⠌⠠⠘⣧⠈⡆⠐⡁⠘⣧⢻ ⠀⠀⣾⣣⠄⠂⣤⣟⣟⣤⡄⢀⠀⣀⠀⣐⠂⠤⣤⣤⣤⣤⣻⣧⢹⠀⡰⢁⠸⣯ ⠀⢸⣷⣇⣠⣾⡟⠉⣄⣀⣀⣀⡀⢶⡀⠝⣀⣀⣀⣀⡄⠀⠽⡟⣿⡅⠐⡠⠂⣿ ⠀⠸⢻⣿⣹⡏⠀⢈⠀⠀⠀⠀⠁⠀⠁⠀⠉⠉⣉⠉⠉⠉⠉⡁⣾⣇⠠⠁⠆⣸ ⠀⠀⢸⡟⣼⣧⡀⠀⠀⠠⣿⡇⠀⠁⠀⠂⠀⢼⣿⠀⠀⠀⣼⣷⢸⣯⠀⢡⠂⢸ ⠀⠀⣼⡇⣿⡿⣿⣤⣀⣴⣿⠇⠀⢀⠀⠄⠀⠘⢿⣧⣄⣤⣿⠇⠠⣿⠀⢂⠌⢰ ⠀⢰⡿⢐⣿⠃⡙⡛⢛⠋⣥⠀⠀⣀⡀⠀⠀⢲⣮⠝⠛⠋⡄⢒⡈⣿⠀⠌⣘⠠ ⢀⣾⠃⣼⣿⢨⠰⡑⢢⠈⠛⠶⠛⠉⠛⠓⠛⠛⠁⡌⡘⢡⠒⡡⢒⣿⠀⠌⠰⣈ ⣾⡏⢀⠇⣿⣎⠳⡈⠐⠈⠠⠀⠀⠀⠀⠀⠀⠐⢀⠐⡈⢂⠑⣤⣿⣿⠀⢌⠰⢌ ⣿⠁⢌⠚⣸⡽⣻⢶⣦⣤⣄⣀⣀⡀⣀⣁⣀⣀⣀⣠⣤⣶⣿⢟⡫⣿⠀⠌⡰⢺ ⣿⠀⢌⠂⣿⡵⢫⠖⡔⣫⢟⡟⣿⣻⣷⣌⣦⣽⣿⡻⣽⡹⢖⢮⡱⣿⠀⠄⡳⢾ ⣿⡆⢈⡐⣯⡝⡯⢜⣥⣹⣾⣿⣶⡿⠉⠘⠃⠈⣿⣿⣶⣿⣍⣖⡿⣇⠀⢢⢏⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀ ⠀⢰⠀⠀⠀⠀⠀⠀⠀⣶⡂⠀⠀⠀⠀⠀⠀⠀⣿⡃⠀⠀⠀⠀⢸⡇⠀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠈⣿⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⣿⠀ ⠀⢸⣇⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⢀⣿⠀ ⠀⠈⣿⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢿⡅⠀⠀⠀⠀⢸⡏⠀ ⠀⠀⣿⡄⠀⠀⠀⢠⡿⠀⠀⣀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⣠⡟⠁⠀ ⠀⠀⠘⣷⣤⣤⣶⠟⠁⠀⠀⣿⢠⡄⢰⡗⠂⠀⠈⢿⡄⠀⣰⡟⠀⠀⠀ ⢀⢄⠀⠈⠉⠉⠁⠀⠀⠀⠀⢻⡿⣿⣾⠃⠀⠀⠀⠈⠻⠿⠏⠀⠀⡀⡀ ⡆⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠀⢰ ⡇⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⡎ ⠀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀
⠀⠀⠀⠀⠀⡠⠔⣊⠭⢹⠰⡀⡰⠘⠀⠀⠀⠀⠠⢀⠑⢝⠳⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⢀⡌⠴⠚⠁⢠⣯⢑⡁⠐⢄⠀⢠⡀⠀⠈⠢⣁⠈⢧⠢⡈⠂⢄⠀⠀ ⠀⠀⠀⢈⠔⠀⠀⠀⣼⡟⢸⠈⠢⢀⠢⡸⢨⠰⢤⣈⡒⠵⢪⣆⠰⣦⡈⠣⡀ ⠀⠀⢀⡾⠀⡔⠀⠀⡟⣣⡿⠤⡀⠀⠑⡮⣽⣆⣹⡫⣢⠈⢻⢣⠢⣧⢹⠑⢔ ⠀⠀⠘⡧⢱⠀⠀⣾⠉⠀⠱⡆⢡⠠⠀⢧⡇⠈⢢⢡⠉⠳⣄⠹⡴⠈⣄⡆⠀ ⢀⠠⠊⢀⠌⠀⡀⣾⡶⠞⠻⢇⣶⠵⣥⡜⠃⢔⠖⣓⡛⢶⣼⢷⠈⠇⢻⠺⠀ ⠉⠉⣹⡇⢠⡇⢻⠏⢰⠊⠹⠙⣿⢸⢈⣷⠇⢱⠉⠉⠙⡄⢹⡛⡄⢸⣸⢄⠀ ⠀⠀⠏⡾⠀⡟⢼⡀⢸⠤⠤⠾⢡⡦⠊⢓⡆⠘⠒⠖⠿⠅⡸⢡⠃⣼⢿⠆⣗ ⠀⠀⠈⡧⣃⣷⡀⣯⢦⣄⣀⡤⠞⢀⢀⡀⠒⠦⠠⣄⢀⢖⣠⠂⣠⠏⣹⡇⠀ ⠀⠀⠀⢹⢦⣍⣙⣺⡁⠀⠀⠀⠀⠇⠀⠈⡄⠀⠀⠀⠉⢀⠾⠞⢛⡡⢺⠇⠀ ⠀⠀⠀⢠⣴⣣⠇⢦⠗⣤⡠⡄⠀⠆⣀⡀⠆⠀⠀⣡⣖⡩⢝⣿⢇⡻⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢶⣈⣲⠜⢋⣗⣦⣄⣀⣀⣤⣶⠟⢿⡏⡴⣩⣾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣎⠜⢀⠔⡝⠦⠧⠙⣿⡿⠟⠛⠲⣖⠱⠟⢩⢧⠀⠀⠀⠀⠀ ⠀⠀⢀⡤⠄⡚⠡⠔⠓⢉⡠⠤⡰⡊⠉⢷⠧⣤⣤⣼⢦⣄⣡⣾⣤⣤⣤⣤⣶ ⣴⡶⠋⠀⠀⠤⠄⠒⠚⠋⠒⠒⠒⠛⣺⢍⡀⠀⠀⣿⢧⡛⠄⣽⢿⡟⠓⠲⡧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⡀ ⠀⣛⠀⠀⠀⠀⡄⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢒⡅⠀⠀⠀⠀⡇ ⢐⡢⠀⠀⠀⠀⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⠀⠀⠀⠀⠀⡇ ⠐⡐⠀⠀⠀⠀⡃⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡉⠀⠀⠀⠀⠀⡅ ⠕⠅⠀⠀⠀⠀⠆⣘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠀⠀⢐⡂ ⡑⠅⠀⠀⠀⠀⠅⡍⠀⠀⠰⠄⠀⠀⠀⠀⠀⠀⡄⡀⠀⢸⠂⠀⠀⠀⠀⡪⠀ ⠐⡂⠀⠀⠀⠌⣅⡇⠀⠀⢸⠀⠀⢀⣄⠀⠀⠀⡇⡇⠀⢸⢁⠀⠀⠀⢀⠖⠀ ⠀⢓⣁⠀⡀⣇⠍⠀⠀⠀⠰⡣⠤⣎⠿⣄⠀⡠⡡⠁⠀⠘⡺⡄⣀⣀⡬⠁⠀ ⠀⠀⠈⠙⠛⠁⠀⠀⠀⠀⠀⠈⠉⠁⠀⠈⠉⠉⠁⠀⠀⠀⠈⡌⡉⡲⠊⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠀ ⢸⣿⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣒⡿⠟⠋⠉⠉⠉⠻⣷⡀⠀⠀⠀⢀⠞⣿⠁⠀⠀⠀⠀⠀⠀ ⠀⣏⣆⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⢠⣮⠞⠁⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⣰⠏⢰⢹⠀⠀⠀⠀⠀⠀⠀ ⠀⢹⢸⡄⠀⠉⠒⢄⣀⣀⣀⡠⠤⠾⣿⣤⣤⠴⠶⠒⠶⠤⣀⡀⠀⣀⡠⠚⠁⠀⣸⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⡇⢧⠀⠀⠀⣠⠎⠉⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠉⠛⢅⠀⠀⠀⠀⡿⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢧⠸⡆⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠠⡇⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣀⣇⡞⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣧⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢟⡿⠁⠀⠀⢸⠀⠀⠀⠀⠀⠀⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣟⡇⣀⣠⣴⠀⠀⠀⠀ ⠀⠀⠀⢸⠟⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⣽⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⡞⡆⠀⠀⢀⣼⣦⠄⠀⠀⠀⠀⠀⠀⠈⠢⡀⠀⠒⠢⠀⠐⡆⠀⠀⠀⢸⠉⣿⣿⣿⣿⡓⡦⠀⠀ ⠀⠀⣸⠀⣱⠀⠀⣰⣾⣿⡶⣦⣄⠀⠀⠀⠀⢀⣠⣼⣷⢦⣤⣀⣀⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠁⠀⠀ ⠀⠀⢿⣼⣻⠐⢹⡟⢿⠋⠀⠈⠟⠣⢄⣀⠈⠻⢻⠏⠀⠀⠘⣿⣬⡇⠀⠀⠀⢸⣿⣿⢻⣿⣿⣋⡆⠀⠀ ⠀⠀⠘⣿⣿⠀⠻⣯⠹⡄⠀⢀⠏⠠⣴⣾⠏⠉⠺⣄⠀⠀⣠⡳⠛⡇⠀⠀⠀⠈⡟⢿⣿⣯⡿⠋⡇⠀⠀ ⠀⠀⠀⠀⣽⠂⠀⣿⣽⣽⡍⠉⠀⠐⠁⠁⠀⠀⣀⢬⡿⠟⠛⣟⣦⡇⠀⠀⠀⠀⣧⠀⠀⠀⠀⢸⠃⠀⠀ ⠀⠀⠀⣰⡏⠀⠀⠛⠯⣌⣀⠀⠀⠀⠤⢤⠀⠀⣿⡃⠀⣠⡴⠟⢩⠇⠀⠀⠀⠀⠸⡄⠀⠀⠀⠸⣆⠀⠀ ⠀⠀⣼⣹⢀⠀⠀⠀⠀⣷⡈⠽⠒⢦⡤⢀⣠⢤⡼⡿⠛⠻⣤⡀⢸⡄⢠⠀⠀⢸⣦⣿⠀⠀⠀⠀⢈⢳⡀ ⠀⠀⠙⢿⣸⣇⠀⠀⢀⢹⣴⣤⣈⢻⣧⡀⣀⠼⢯⣤⣴⠾⠟⢳⣸⡇⡿⡄⠀⠘⣿⣿⡴⡖⢀⣠⠿⣿⠇ ⠀⠀⠀⠘⣷⠈⠦⣀⠸⡿⡇⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠸⡁⠱⣇⠙⢦⣀⠘⡇⠀⠋⠉⠀⠀⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠉⠀⠀⠈⠛⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⢿⡶⠶⣶⣶⣴⣯⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣏⣭⣭⣽⣿⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠟⠁⠀⠀⢀⣀⣀⠉⠉⠚⠋⣝⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡵⢿⡛⠛⠛⠉⠉⠉⠩⣼⣿⣿⣿⣿⣿ ⣿⣿⣟⡋⠁⠀⢀⣴⣿⣿⣿⠋⠁⠀⠀⠀⠨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠚⠁⠀⠠⣶⣶⣦⣄⠀⠀⠙⠿⣿⣿⣿ ⣿⣿⠟⠁⠀⣴⣿⣿⣿⣿⣟⠀⠣⡉⢨⠆⢐⣜⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠠⡒⠤⡆⠘⣿⣿⣿⣿⣄⠀⠘⢿⣿⣿ ⣍⣀⣀⣀⠀⢿⣿⣿⣿⣿⣿⣄⣀⠈⢃⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠐⠔⠃⢰⣿⣿⣿⣿⣿⠆⠀⣀⣈⣙ ⣿⣿⣿⣿⣷⣶⣭⣿⣿⢿⡿⠟⣉⣩⣭⣿⣿⣿⣿⣿⠀⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣒⡒⡚⠻⣿⣿⣿⣿⣵⣾⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⠀⠀⢀⠃⡆⠀⠀⠀⠀⢀⣠⠴⠚⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣄⠀ ⠀⢠⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⠀⢀⣀⣠⣼⣤⣾⣤⣒⠒⠋⢉⣠⡤⠾⠗⠒⠒⠒⠒⠤⣄⠀⠀⠀⠀⣀⣤⣴⡶⠞⢛⡿⠻⣇⢱⣿⡆ ⠀⢸⣿⣿⠻⡷⢶⣦⣀⣀⠀⠀⠀⠀⠀⢀⡼⢫⠇⣀⣴⠶⠛⠉⠉⡽⠃⢀⡟⠙⠓⠛⠿⠭⣀⣀⡀⠀⠀⠀⠀⢀⣀⣠⠴⠶⠚⠋⠉⠀⠀⢀⡴⠋⠀⠀⢿⡆⢿⡇ ⠀⢸⣿⡇⠈⠓⣦⡀⠈⠉⠛⠓⠦⢤⣴⠏⢀⡾⠛⠁⢀⡀⠀⠀⡴⠁⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⣉⡙⠓⠚⠛⠑⢒⣠⠔⠂⠀⠀⠀⠀⣰⠿⠤⠤⣄⡀⢸⣇⢸⣷ ⠀⣾⣽⡆⠀⠀⠈⠻⣦⠀⠀⠀⢠⡞⠁⣴⢯⡴⠚⠋⠉⠀⢀⠞⠁⠀⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠲⣿⣯⣋⠁⠀⠀⠀⠀⣠⡾⠋⠀⢤⡈⠀⠀⠸⣿⢸⣿ ⢰⣿⣿⡇⠀⠀⣠⠤⠬⠷⣄⣴⠋⢀⡼⣩⠋⠀⠀⠀⣀⡔⠁⠀⢀⠞⠁⠀⠀⠒⠒⠢⢤⣀⠀⠀⠀⠐⠒⠊⢁⡜⠻⣍⡒⠒⢦⡼⣯⣤⣤⣤⣤⣽⣦⡀⠀⣿⢸⡟ ⠸⣿⣿⢻⠀⠋⠉⣁⠴⠛⣹⠧⣀⠞⢰⠃⠀⢀⡠⠞⠉⢀⡠⠾⠷⠖⠒⠒⠶⠦⢄⣀⠀⠀⠉⠓⠦⣄⡤⡚⠉⠀⠀⠀⠉⠲⣄⡀⠒⠀⠀⠀⠀⠀⠈⢳⠀⣿⣿⡇ ⠐⣿⣿⢸⠀⠀⡼⠁⠀⢰⠇⠀⠘⠀⣆⣠⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣀⠀⠀⠀⠉⠲⠍⠳⢦⡀⠀⠀⠀⠙⢦⡀⠀⠀⠀⡶⢤⣘⣦⣿⣿⠇ ⠀⢸⣻⣼⠀⢰⡇⠀⠀⡏⠀⠀⠀⣰⠟⠁⣠⠄⠀⠀⠀⠀⠀⠀⠤⣀⠀⠀⠀⠀⠀⠀⠀⢀⡈⠳⣄⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠙⢦⠀⠀⢳⠀⠈⠉⣿⣿⠀ ⠀⢸⣿⣿⡆⠘⡇⠀⣆⣇⠀⠀⣸⢁⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠄⠀⠀⠀⠀⠀⠀⠉⠓⢬⣳⡀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠈⢷⣤⣼⠀⠀⢸⣿⡟⠀ ⠀⠀⢿⣿⣿⠀⠙⢻⣿⠸⡄⠀⣷⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⠀⠀⠀⠀⠀⠀⠀⢱⡀⠀⠀⠀⠀⠹⣆⠀⢀⣿⢻⠁⠀ ⠀⠀⠘⣿⣿⡇⠀⠸⢻⡄⠘⣤⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⢹⣆⢸⣷⡏⠀⠀ ⠀⠀⠀⠹⡿⡿⣆⠀⠀⠙⣦⣌⡹⣦⣀⡤⠤⣄⡀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢲⢄⣀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣿⡇⢾⠁⠀⠀ ⠀⠀⠀⠀⠹⡽⣿⣄⠀⢠⣿⡟⡎⢳⣄⣀⠀⠀⠈⣳⣦⣬⡉⠛⠲⢄⣀⡀⠀⠉⠙⠓⠢⣴⡖⠒⢒⣲⡤⢤⣀⡈⠛⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠈⠻⣷⣼⢫⣅⢳⡀⢫⡉⢩⣷⡿⠟⠚⠳⢿⣇⠀⠀⠙⠯⡉⠑⠒⠒⠦⢭⣉⠙⢍⠉⠉⠙⠻⢿⣂⠀⠈⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣾⣿⠀⢻⢮⣿⣿⡋⠀⠀⠀⠀⠀⠉⠓⠢⣤⣄⣈⡒⢦⣄⣀⠀⣨⡽⠺⢽⡳⡀⠀⠀⠈⠳⣄⠀⠘⣿⢦⠀⠀⠀⠀⢠⠀⠘⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢻⡀⠹⣿⡇⠀⠀⠀⠀⠀⠐⠶⠤⣄⠀⠀⠀⠀⠀⠁⠀⠀⠉⠁⠀⠀⠀⠙⢾⣆⠀⠀⠀⠈⠳⣄⠘⢏⠳⣄⠀⠀⠈⡆⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⢧⢶⢿⣿⡀⠀⠀⠀⣀⣤⣶⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⣖⣲⣲⣦⣤⣄⣙⠠⡄⠀⠀⠀⢈⣧⡘⣦⠈⠧⡀⡀⢳⡀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡈⢿⣿⣿⣇⣤⣴⣿⣿⠿⠛⠛⠿⠷⠽⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡿⢿⣟⠿⢿⣷⣦⣄⡀⣸⠁⣧⣟⣧⠀⠙⣧⣆⣹⣆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⡶⠋⠀⡇⣾⣿⢹⣿⡿⣿⠫⡅⠀⠀⠀⠀⠀⠀⣼⡿⡆⠂⠀⠀⠀⠀⠀⠈⠙⠲⢽⠶⠒⠉⠻⢿⢗⡇⡾⣹⣿⠌⢷⡼⠃⠀⠉⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⣿⠋⠀⠀⢀⡿⠉⢸⣺⡏⠙⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣴⣿⣇⡴⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⡿⠁⠀⠀⢰⡿⠁⠀⠘⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣾⣫⠿⠿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣷⠟⠉⠳⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠁⠀⠀⢠⡟⠀⠀⠀⠀⠈⠙⡿⢦⣄⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠋⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣿⡈⠙⠛⠶⢤⣄⣀⡀⠀⠀⠈⣛⣚⠛⠉⠀⠀⠀⠀⢀⣤⣶⣒⠒⢿⡟⣻⣷⡄⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠈⠛⢦⣄⠀⠀⠈⠙⢿⣶⣶⡾⠷⣷⠷⠶⠶⡶⠶⢶⣿⠟⠉⠁⠀⠀⠀⠉⡿⠓⣤⣤⠶⠒⠋⠉⠉⠉⠳⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⢧⡀⠀⠀⠀⠀⠈⠓⠦⢤⣀⣀⣀⣀⣀⣨⡿⠀⠀⠀⠀⢩⡏⠀⠠⠟⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⣀⣠⡾⠃⠀⢹⡎⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣴⠿⡏⡿⠀⠀⠀⠀⣸⣁⡤⠴⣴⡀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⢀⡯⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⡟⠀⠀⢠⣿⠃⠀⠀⠀⣼⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠒⠒⠒⠦⠤⣼⠏⠀⠀⠀⠀⠀⢸⡇⡇⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠸⣷⡀⠀⠀⢸⠁⠀⢠⡿⠃⠀⠀⠀⡼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡏⠀⠀⠀⠀⠀⠀⣿⢱⠇⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠘⡇⠀⠀⡜⢀⡴⠛⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⣰⡇⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀⠹⠀⣸⡷⠋⠀⠀⣀⣤⣞⣁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣄⠀⠀⠀⣀⣴⡯⠽⠧⠤⢤⣤⡤⠤⠀⠀⠀⠐⢺⣇⠀⠀⠀⠀⠀⣠⣶⠟⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣛⡛⡛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠶⠤⠶⠶⣿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠤⠤⠤⠤⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⡶⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣴⣧⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⢀⣠⡄⠀ ⠀⠀⠀⠀⠀⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣏⠻⠇⠀ ⠀⠀⠀⠀⢠⠇⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠘⡆⠀⠀ ⠀⠀⠀⠀⢸⠀⣰⣦⣄⣹⣆⠀⢀⣀⡀⠀⢀⣤⣶⣟⣁⣠⡀⠀⠀⡇⠀⠀ ⠀⢰⡆⠀⢸⡰⣈⢉⠹⠿⡿⠰⠷⠶⠸⢰⣿⣿⡿⠿⠿⡉⢇⠀⢀⡇⠀⠀ ⠘⠿⠇⠀⠀⢧⠑⠪⠴⠡⣞⣤⣀⡀⣀⡠⣷⠠⢂⡑⢢⢱⡨⠃⡼⠀⢀⠀ ⠀⠀⣠⣄⠀⠈⠳⡀⠀⠀⠀⠀⠉⠉⠁⠉⠁⠉⠀⠈⠉⠀⣠⠞⠁⢻⡿⠀ ⠀⢸⡵⠚⠉⢉⡽⠻⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠥⢤⣀⣠⣄⠀ ⠀⠈⣇⠀⠀⠁⠠⠞⠁⢳⡉⠙⠒⠒⠶⠶⠒⢚⠟⠯⣄⠈⠦⠀⠈⢳⢸⠇ ⠀⠀⠸⣆⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⡏⠀⠀⠈⠀⠀⠀⠀⣸⡾⠀ ⠀⠀⠀⠈⠓⠦⠤⡤⠴⠋⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⣠⠼⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠋⠉⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣄⣠⡿⠟⢿⣶⠾⢻⣧⣾⣀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣢⡿⠋⠿⠋⠀⠀⠈⠀⠀⠈⠁⠙⠋⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣶⣤⠶⠶⠞⠛⠛⠛⠛⠛⠛⠛⠳⠶⢦⣄⣀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀ ⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠈⢿⡀⠀⠀⠀ ⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣏⢉⣿⠀⠀⢀⣤⣄⣀⣠⣤⣄⠀⠀⢰⣿⣏⠉⣷⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀ ⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⠏⠀⠀⢿⡿⠿⠿⠟⠻⠟⠀⠀⠈⢿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⢿⡀⠀⠀ ⠀⠀⡿⠀⠀⠀⠀⠀⠀⢰⣖⢒⠲⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠖⠒⡒⣦⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠉⠉⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠸⣧⢀⣀⣠⣤⣤⠶⠶⠶⠚⠛⠛⢻⡛⠛⠛⠉⠉⠉⠉⠛⣿⠛⠛⠛⠛⠛⠲⠶⡶⠶⢤⣤⣤⣄⣀⣀⡀⠀⢰⡇⠀⠀ ⠀⣠⡿⠋⠉⠁⢸⠂⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⠉⣏⠉⠛⠻⣧⠀⠀ ⢰⡟⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠸⣧⠀ ⣿⠁⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢿⡀ ⣿⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⢸⡇ ⣿⡀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠠⣼⠃ ⠸⣧⡀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⣰⡟⠀ ⠀⠘⢷⣦⡀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⢸⡇⣠⡾⠋⠀⠀ ⠀⠀⠀⠈⠻⠷⣦⣄⣻⣄⣀⡀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⡏⠀⢀⣀⣀⣠⣤⡾⠟⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠺⠴⢺⢴⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠁⠀⠀⠀⠀⠀⠀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢙⣦⠤⠴⠒⠒⠒⠒⠲⠤⣄⣸⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀ ⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡄⠀⠀⠀ ⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀ ⠀⣸⠀⠀⠀⠀⠀⢼⣏⣽⠀⣠⣤⣤⣦⡀⠀⣿⣍⡇⠀⠀⠀⠀⢳⠀⠀ ⠀⡇⠀⠀⠀⢠⣤⠬⡉⠁⠀⠉⠀⠁⠀⠀⠀⠈⡭⣤⣄⠀⠀⠀⠸⡄⠀ ⢰⠃⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⡇⠀ ⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀ ⠈⣇⣀⣀⡤⠤⠤⠶⢲⠒⠒⠒⠒⢲⠒⠒⠶⠤⢤⠤⣤⣀⣀⣀⢀⡇⠀ ⣰⠋⠀⢸⠀⠀⠀⠀⢸⠀⠀⠀⠀⢸⠀⠀⠀⠀⢸⠀⠀⠀⢸⠉⠉⢧⠀ ⡇⠀⠀⢸⠀⠀⠀⠀⠸⡀⠀⠀⠀⢸⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇⠀⠘⡇ ⡇⠀⠀⠈⡄⠀⠀⠀⠀⡇⠀⠀⠀⢸⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇⠀⢀⡇ ⠳⣄⠀⠀⢧⠀⠀⠀⠀⢱⠀⠀⠀⢸⠀⠀⠀⠀⢸⠀⠀⠀⠀⡇⢀⡞⠀ ⠀⠈⠓⠦⢼⣆⣀⣀⣀⣘⣆⣀⣀⣸⣀⣀⣀⣀⣸⣀⣀⣤⠴⠓⠉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠶⠦⣄⣠⠤⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠖⠚⠓⢾⠁⠀⠀⠀⠈⠀⠀⠀⠙⣆⠀⠀⠀⠀ ⠀⠀⡠⠖⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀ ⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢸⠀⠀⠀ ⢠⡇⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢸⣄⠀⣀⣤⠟⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⢀⣠⣾⠽⡿⢉⡇⠀⠀⠀⠀ ⠀⠛⢳⠲⠶⣶⣶⣖⠋⠉⠉⠉⠉⠘⠁⠀⠀⣸⠁⠀⠀⠀⠀ ⠀⠀⠈⢧⠀⠹⠉⠉⠁⣀⡤⠴⠶⠒⠲⠆⣰⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⢈⡷⢦⣀⡰⠋⠁⠀⠀⢀⣀⡴⠺⣅⣀⣠⠖⠻⣧⡀ ⠀⠀⢀⡞⠀⣠⠎⠉⠙⢛⠛⠋⠉⠁⠀⣀⣀⣈⣀⣀⣤⡟⠋ ⠀⠀⣼⠀⢸⣃⣀⡤⠖⢋⣷⡄⠀⠀⠀⡏⠉⠉⠉⠙⠋⠀⠀ ⠀⠀⠻⣄⣀⢉⣀⠴⠷⠼⠋⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀ ⠀⠀⢠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄⠀ ⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀ ⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⡇⠀ ⠀⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⡇⠀ ⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀ ⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀ ⠀⠀⠀⢹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠀⠀ ⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⠀⠀⠀⢰⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⣰⣿⡏⠀⠀ ⠀⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⢰⣿⡟⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡄⠀⠀⠀⠀⢀⣾⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⢹⣿⣦⣀⣀⣀⣠⣴⣿⡿⠁⠀⠀⠀⢸⣿⡇⠀⠀⠀⢠⣿⡶⠄⠀⠀⠀⠘⣿⣧⠀⠀⠀⢀⣾⣿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠸⣿⣇⣾⣷⡀⣸⣿⠇⠀⠀⠀⠀⠀⠹⣿⣧⣄⣠⣾⡿⠃⠀⠀⠀⠀⠀ ⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣧⣿⡟⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⠟⠁⠀⠀⠀⠀⣀⠀ ⢠⡟⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠃⠹⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠉⠈⣷ ⣾⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⣸ ⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢀⡿ ⠻⡄⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⣸⠃ ⠀⠉⠙⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠋⠁⠀
⡉⠈⠀⠀⠀⠀⢠⣞⠻⣤⡀⠀⠀⢀⠀⢀⠀⠀⠀⠄⠀⣠⡞⣻⣆⠀ ⠄⠠⠐⠀⠀⠐⣟⢏⣳⣩⢿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣯⣕⢦⣹⡄ ⡄⠀⠀⠀⠀⡀⣿⣹⣖⣧⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⡿⢿⣿⣾⣽⡇ ⡀⠀⠀⠁⠀⢀⣿⣿⣾⣿⣿⣿⣿⣆⣸⣿⣿⣿⣿⣿⣆⣰⣿⣿⣿⠀ ⡁⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣧ ⠂⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⣿⣿⡡⢿⣿⡿⣿⣿⣿⣿⣿ ⠂⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⢟⡛⠟⣿⣿⣷⣉⣿⣿⢷⠛⣿⣿⣿⣿ ⡄⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡶⣿⣾⣽⣶⢩⠶⣉⣷⣷⡿⣾⣿⣿⣿ ⡄⠀⠀⠠⠸⣿⣿⣿⣿⣯⣟⡰⢿⣿⣿⣧⢋⡾⢸⣿⣿⡏⣿⣿⣿⣿ ⠄⠀⠀⠂⠀⠹⣿⣿⣿⣿⡘⠷⣯⣿⡷⣋⠳⣜⢻⢿⣿⡿⢧⣿⣿⠃ ⠇⠀⠀⠀⠀⣀⠈⣿⣿⣿⣿⣷⡾⢇⡾⣁⠿⣰⠉⣶⢸⣷⣿⣿⣿⠀ ⠅⠀⠀⡀⠈⣷⣾⣿⣿⣿⣿⣿⣅⠻⣦⣵⡶⢳⣽⢦⠣⢏⣿⣿⡍⠃ ⠀⠀⠄⠀⠀⠀⠀⣻⣿⣿⣿⣿⣿⣶⣍⡓⡜⢣⣙⣬⣷⣿⢿⣿⣿⠞ ⠀⠀⠀⢄⣴⣶⣿⣿⣿⣿⣿⡿⣾⣽⣻⣿⣿⣿⣿⣯⣙⠛⠒⠋⠀⠀ ⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣻⣝⡷⢮⡷⡽⣿⣿⣿⣿⣿⣿⠶⠀⠀⠀ ⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣾⣝⣯⣽⣽⣾⣿⣿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀ ⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡤⠖⠚⠋⠉⠛⡇⠀⣆⠀⠀⠀⢠⡀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⢡⡙⠳⢮⣗⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠁⢀⣠⡤⠒⠁⢀⢿⠀⢻⡄⠀⢣⠸⡇⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠙⣦⡀⠈⠙⠺⣵⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⢀⣠⣶⠟⠋⠀⠀⢀⣎⠞⢷⡀⢱⡀⠈⢧⠁⠨⠀⠀⠀⢸⡄⠀⠀⠀⠀⠙⢦⡀⠈⠳⣄⠀⠘⢿⣖⢄⡀⠀⠉⠳⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣞⣠⠞⣹⠟⠁⠀⠀⠀⠀⡾⡞⣶⠀⠻⣄⠃⠀⠀⢳⣠⠀⠀⠀⢸⡇⡀⠀⠀⠀⠀⠀⠈⠳⣄⡈⠢⠀⠈⢿⡆⠙⢦⡀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠋⢁⠜⠁⠀⠀⠀⠀⠀⢸⣵⡱⣿⢠⣿⠈⠳⣄⠀⠀⠙⢦⡀⠀⠘⡇⠙⡦⣀⠀⠀⠀⠀⠢⢤⡙⠲⣤⡀⠈⢻⡄⠀⠙⣆⠀⠀⠀⠙⢦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⡴⠃⠀⠀⠀⠀⠀⠀⢀⡏⣯⡇⢹⠘⡟⠀⠀⠙⠳⣄⠀⠀⠳⣄⠀⢷⠀⡇⠈⢳⠦⣄⡀⠀⠈⠙⠷⣤⣝⡳⢦⣗⠀⠀⢸⡷⡷⣄⠀⠀⠙⣦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⡄⠀⢸⣿⣿⣧⠈⡇⡇⠀⠀⠀⠀⠈⠑⢦⡀⠈⠳⣼⢸⣿⠀⠈⢷⢸⣯⢿⡒⠶⠦⢤⣤⣯⣷⣿⠿⠦⠈⣿⡙⠸⣷⣤⡀⠈⢳⡀ ⠀⠀⠀⠀⠀⠀⠀⢀⣞⡖⠀⠀⢀⡞⠀⠀⡇⠀⢸⣼⠏⢻⣄⣇⣇⠀⠀⠀⠀⠀⠀⠀⠉⠲⢦⣈⣻⣯⣧⠀⠈⢿⣟⢦⡹⣷⡀⠀⠈⢿⣷⢢⡄⠙⣆⠸⣣⠀⢻⣿⠻⢦⡀⢳ ⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⡞⠀⠀⠀⡇⠀⣿⣏⣤⠴⠻⣿⠋⡏⠙⢻⠢⠀⠀⠀⠀⠀⡇⢸⢿⡿⠿⢷⠒⠺⣿⡤⣻⣌⢻⡀⠀⠈⢿⡄⣷⡀⠈⠳⡿⡆⠀⣿⠀⠀⠙⢦ ⠀⠀⠀⠀⠀⠀⢸⡏⡟⣰⠇⣸⠃⠀⠀⠀⢧⢰⡿⠋⠀⠀⠀⠙⡆⡇⠀⢸⡆⠀⢆⠀⠀⠀⡇⢸⡘⠀⠀⠈⢯⣆⠈⣇⠀⠉⠳⣽⣆⠀⠀⠹⣼⡇⢦⠀⠘⢧⠀⢸⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢰⡿⠁⠀⡟⠀⠀⠀⠀⢸⡼⡇⠀⠀⠀⠀⠀⢻⣡⠀⠘⡟⣄⠘⣆⠀⢠⢻⣸⡇⠀⠀⠀⠀⠻⣇⠸⡇⠀⠀⠈⠛⢶⣄⠀⠘⢿⡈⣇⠀⢈⣷⡀⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⢸⠃⠀⠀⠀⠀⢈⣷⠁⣀⣤⣴⣶⣖⣛⣿⢄⣠⣷⡙⣦⠘⣆⢸⠈⣿⡇⠀⠀⣀⣠⣤⣽⣦⣿⣶⣶⣤⣀⠀⡿⣿⣦⣀⠙⣾⡄⠸⡼⣷⣹⡇⠀⠀ ⠀⠀⣀⣤⠾⠋⠀⠀⢀⣤⢾⠀⠀⠀⢰⡄⣸⣿⣿⡿⠟⠛⠉⠙⠻⢿⣧⣸⣿⠹⡌⠳⣜⣮⡆⢸⠀⠰⠛⣡⡾⠛⢙⣃⣀⡈⠛⢿⣿⣷⣟⠙⣿⠃⠀⠈⡇⠀⣷⡇⠙⡇⠀⠀ ⠀⠛⠳⠦⠶⠖⠚⣿⡏⠀⢸⠀⢸⠀⢼⣿⣿⡿⠋⠀⣀⣴⠞⠛⣛⣦⣼⡿⣿⠀⠘⡇⠘⠿⣷⡌⡇⠀⠞⢡⡶⠞⢛⠛⠻⣿⣦⠀⠙⣿⣿⣷⡿⠀⠀⠀⢻⠀⢼⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⡿⡇⢀⠈⣇⣿⡄⠀⡟⣿⡇⠀⢰⡿⠁⠀⠀⠛⠃⠘⣿⣼⡀⢀⡇⠀⣰⠸⡟⢧⠀⠀⣿⠁⠀⠐⠁⠀⠀⢹⡇⠀⠈⡏⢡⡇⢠⡄⠀⢸⡄⣿⡙⢦⡀⠀⠀ ⠀⠀⠀⠀⠀⢸⣷⠃⢻⢸⠀⠙⡟⣷⠀⣷⠁⠁⠀⠘⡇⠀⠀⠀⠀⠀⣠⡇⠹⡇⣼⠀⣰⡏⢦⣹⡀⠀⠀⣿⡄⠀⠀⠀⢀⣤⣼⡗⠀⠀⣇⡿⠀⢸⠇⢰⢸⣷⡿⣣⠈⢳⣤⡀ ⠀⠀⠀⠀⠀⠸⣿⢀⡾⢾⠀⠀⣷⠘⣆⢹⡀⠀⠀⣀⣿⣶⣶⣶⣶⣿⡿⠀⢀⣾⣧⠞⠁⠉⣆⢳⢧⠀⠀⠘⠿⠻⠿⠾⠿⣿⣯⣀⠀⢰⡿⠁⢠⡟⠀⢸⢸⡿⣷⡿⣇⡈⢷⠛ ⠀⠀⠀⠀⠀⠀⠉⣼⣇⢸⡆⠀⢸⠀⠈⠿⣟⢦⡀⠙⠉⠀⠀⠉⠀⠀⠀⠀⣷⣻⠇⠀⠀⠀⠘⢮⢾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠾⠀⢀⡞⠀⠀⢸⣾⠳⡈⣿⡀⠉⠙⠓ ⠀⠀⠀⠀⠀⠀⠀⢿⡿⡈⢧⠀⢸⣧⠆⠐⡽⣮⣳⣄⣀⠀⠀⠀⠀⢀⣠⣼⡟⠁⠀⠀⠀⠀⠀⠈⠓⠽⣲⡤⣀⣀⣀⡀⠀⠀⢠⣾⠏⠀⣀⡞⠀⠀⢠⣾⡇⠀⣷⣿⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣷⡹⢾⣧⣿⣿⢷⡀⠘⣿⣍⠓⠭⣽⣶⣶⣯⠽⠛⠁⠀⠀⣠⠖⠒⠲⣄⡀⠀⠀⠈⠉⠓⠚⠛⠓⢒⣺⢟⣡⠴⠚⣿⠀⠀⣠⣿⡟⠀⠰⢣⡟⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣦⡈⠏⠛⠛⠿⠦⣼⡝⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⣰⣿⣴⣾⣿⣿⠗⢁⣴⠟⣿⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠛⣏⢳⠦⣄⣀⣤⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⢀⡼⠋⠉⠉⢁⣀⣠⣴⡿⠁⠀⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡯⠀⢸⣇⣀⠀⠻⣿⣤⡀⠀⠀⠀⣀⠀⠀⠀⢿⠀⠀⠀⠀⠀⢀⣸⠀⠀⠀⠀⠀⠻⣗⢤⣠⡤⠿⠛⠉⢻⣿⢻⣻⡏⢹⢻⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⣤⣴⣫⣟⣥⣤⡿⠋⠻⣿⣿⠋⠛⣿⣦⣠⠞⣿⠀⠀⠀⠈⠣⣄⣀⣒⣠⠽⠋⠀⠀⠀⠀⠀⢀⣹⣷⣬⣍⡓⠒⠒⣩⣿⣳⡿⠀⣎⣼⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⢿⡀⢣⠀⠙⣧⠀⡰⢹⣿⢏⡴⢻⣧⡀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⠏⢉⣭⡴⠛⣡⣿⣧⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢶⣧⡀⠈⢁⣧⠞⠉⠋⣠⡞⣋⣿⣷⣦⣄⣀⠀⢀⣀⣠⣴⣾⣿⣿⡟⠛⠻⣿⣿⡏⠀⣼⡏⠀⣴⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡟⢿⡿⠋⠁⠀⢀⡼⣿⠛⠉⢸⡟⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⢈⣻⡇⢰⣿⢖⡟⢿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠁⣡⡞⠀⠀⠀⡠⠋⣰⣋⣓⣦⣼⡧⠴⠛⢋⣽⣿⣿⠿⠿⠿⠟⠛⠛⠻⣿⡏⠁⠸⣿⣿⠟⠀⡸⡝⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⡿⠋⠀⢀⣴⠞⣁⡤⠟⠉⠁⠀⠀⠀⠀⢚⣽⣿⣷⡢⢤⡀⠀⠀⠀⠀⠀⠘⣿⣆⠀⠈⠁⠀⣼⡝⠀⣸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⠖⠛⠁⣀⣠⣴⡿⠗⠛⠉⠀⠀⣀⣀⣤⡤⣴⠒⠋⠁⠈⠙⣿⣶⣱⡀⣀⣤⣤⡤⢤⣼⣯⡣⣄⠀⠈⢉⣴⣾⣧⣤⣀⣀⣀⣀⣠⣤⣤⣤⣴⣦ ⠀⠀⠀⠀⠀⠀⢀⣾⠏⠁⠀⠠⠶⠚⠉⠁⠁⠀⠀⠀⣀⣴⣶⠿⠋⠉⠉⠳⢎⡻⡄⠀⠀⣼⣥⣿⣋⣩⠥⠶⢶⣹⣿⡟⣇⣽⢷⡿⢾⡟⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿ ⠀⠀⣠⣴⣾⣿⠿⠃⠀⠀⠀⠀⠀⠀⣀⣀⡠⠤⠴⠯⠿⠯⠥⠤⠤⠤⠤⠤⠤⠭⠼⠤⠾⠿⣫⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣄⢋⣿⡿⢀⠆⢈⣿⣿⣿⣿⣿⠫⢥⣴⡂⣼⣿⡀ ⢀⣸⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⡛⠋⠉⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣾⣿⣃⣀⣀⠀⠀⠀⠀⠀⣾⢿⡟⢾⣣⡀⣠⠎⣠⣾⣿⠿⢻⣿⡇⠀⠀⠀⠀⢿⡿⠛
⣤⣤⣶⣶⣶⣶⣶⣶⡶⠂⠀⠀⠀⠀⠀⠰⠀⠐⠄⡐⡀⠀⠀⠄⠀⠆⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⢠⡀⢀⠃⠀⠀⠀⠈⠙⢄⠀⠈⡄⢰⠀⠀⠀⠀ ⠿⠿⠿⢿⠟⠉⠀⠀⠀⠀⠀⣠⠃⠈⠜⠒⠂⠀⠀⠀⠧⠀⢣⡀⢰⡀⢇⠀⠀⠀ ⠀⠀⢠⡡⠂⠀⠀⠀⠀⡠⣾⠃⢀⠌⡤⠀⠀⠀⠀⠀⡀⠀⡀⢧⠸⣷⣼⠀⠀⠀ ⡈⢀⠟⠀⠀⠀⢀⡠⠊⡠⠁⡠⠊⠀⠀⠀⠠⣲⣼⠿⠷⠿⠿⣾⠎⢻⣿⠀⠀⢀ ⣁⠊⠀⠀⣠⠔⠋⣀⡹⡁⡊⠀⠀⠀⠀⣴⠞⢹⡉⣐⢝⢆⡴⠇⢀⠉⣿⣤⡆⠀ ⠍⠀⣠⠎⡍⠀⣁⣴⣂⠀⠀⢄⠀⠀⠈⢁⠤⠚⠛⢿⣷⣯⣥⣴⠂⠀⣿⣿⣇⠆ ⠀⡼⠥⢴⣿⣟⡟⣯⡹⠯⠍⢪⣦⠞⠀⠀⠀⠀⠀⠀⠙⠛⣿⣿⣧⣀⣿⣿⣿⠀ ⠐⡀⢴⣿⣿⠙⠉⠀⠀⣀⣀⡃⠀⠀⠀⠀⠀⠀⠀⠙⠋⠁⢤⣽⣿⣿⣿⡟⠏⠀ ⠃⠀⠸⣿⣿⣴⣿⣿⣿⡿⠟⠁⠀⠃⠀⠀⠀⠀⠀⠀⠀⠆⠀⡴⣿⣿⣿⡿⠀⠀ ⠀⠀⠈⣿⣿⣿⣿⠉⠀⠀⠀⢀⣀⣀⠤⢔⣒⣶⢾⡇⠀⢠⣾⣿⣿⣿⣿⠧⠂⠀ ⠐⠉⠉⢿⣿⣿⣿⡷⣤⠀⠀⠀⠙⢏⠁⠈⠙⠁⡰⠀⣠⣿⣿⣿⡿⠟⠛⡡⠀⠀ ⠀⠀⠀⠘⣿⣿⣿⣿⣆⠳⣶⠤⣀⠀⠈⠐⠒⠊⢠⣾⣿⡿⠛⠉⠀⣬⠊⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⣿⣿⣿⣷⣮⣦⣈⢁⣦⣅⣀⡠⣿⡿⠏⠀⠀⠀⡌⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠿⠿⠿⠿⠿⠽⠧⠌⠢⡝⠹⠋⠼⠿⠁⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣹⡇⢀⡠⠖⠛⣋⣛⣛⣛⡒⠒⢲⡀⢘⣦⡀⠈⠉⠛⢦⣄⠀ ⠀⠀⠀⠀⠀⣠⣿⣥⣑⣫⡶⠋⠉⠉⠉⠉⠉⠉⠙⢦⣳⣏⡤⣭⣳⣄⠀⠀⢹⢷ ⠀⠀⠀⢀⣼⠋⠁⠀⢈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢅⠀⠀⠈⠉⠳⣄⠈⣇ ⠀⠀⢀⣿⠃⠀⠀⢀⣷⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⡄⠀⠀⠈⣆⠈ ⠀⠀⣾⡁⠀⠀⢠⣟⣝⣤⠄⠀⠀⠀⠀⠀⠀⠠⠤⠤⣤⣄⣘⣆⢰⠀⠀⠀⠘⡄ ⠀⢰⣷⣇⣀⣴⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡏⣿⡀⠀⠀⠀⢷ ⠀⠸⠻⣿⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠉⡉⠉⠉⠁⠀⠀⠘⡇⠀⠀⠀⢘ ⠀⠀⢸⡏⢸⣇⡀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⣰⣷⠀⡇⠀⠀⠀⠀ ⠀⠀⣼⠃⠈⡿⣷⣄⣀⣠⣿⠃⠀⠀⠀⠀⠀⠈⢿⣧⣄⣤⡿⠃⠀⣷⠀⠀⠀⠀ ⠀⢠⡟⠀⣼⠇⠈⠛⠛⠋⡁⠀⠀⢀⠀⠀⠀⢰⡦⠉⠛⠉⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⣾⠁⠀⣿⠀⠀⠀⠀⠀⠛⠒⠚⠉⠛⠒⠒⠋⠁⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀ ⢸⡇⠀⠀⠹⣄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠀⠀⠀⠀ ⣾⠁⠀⠀⢰⠈⠛⠶⢤⣤⣀⣀⣀⠀⢀⠀⠀⠀⠀⣀⣀⣤⡵⠞⠋⣼⠀⠀⠀⠀ ⣿⠀⠀⠀⢸⠀⠀⠀⠀⠈⠉⠙⠛⠛⣷⣀⣀⣰⣟⠛⠉⠉⠀⠀⠀⡏⠀⠀⠀⠀ ⣿⠀⠀⠀⡎⠀⠀⠀⢀⣠⣤⠴⣶⡟⠉⠀⠃⠈⣟⣻⠶⣤⣀⢀⡄⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠈⢧⢳⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠃⠑ ⠀⠀⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⣠⠇⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⣰⠏⠀⠀⢠⠇⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⣴⡏⠀⠀⣰⡏⠀⠀⠀⣾⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⢰⢣⠃⠀⣼⢳⠃⠀⠀⠀⡏⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀ ⠀⠀⠀⢀⡞⡇⠀⠀⠐⡄⠀⢀⡇⢸⠀⣼⡇⢸⠀⠀⠀⢸⣧⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀ ⠀⠀⠀⡼⢠⠇⠀⠀⠀⢧⠀⣼⠀⢸⢠⣿⠁⢸⠀⠀⠀⢸⢿⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠀⠀ ⠀⠀⠀⠁⢸⡄⠀⠀⠀⠸⡆⡏⠀⠸⣼⢹⠀⢸⡀⠀⠀⢸⠈⣇⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⡇⠀⠀⠀⠀⢻⣧⠠⠤⢿⠼⠔⠒⡗⠒⠤⣌⡆⢹⡀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣹⡄⣀⣀⣀⣀⣀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠇⠀⠀⢧⠀⠀⠀⠀⣼⢹⡀⠀⢸⡗⡄⠀⢹⡄⠀⠀⢿⠲⢷⡀⠀⠀⣇⠀⠀⠀⠀⠀⣠⡴⠖⠚⠉⠉⠀⢣⠀⠀⠀⠈⠉⠉⠛⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⠀⠀⢸⣇⠀⠀⠀⢸⣇⢧⠀⠀⣿⢣⡀⠀⢱⡀⠀⠘⡆⠀⢳⡀⠀⢸⡀⠀⠀⠀⠀⠀⢱⣰⠏⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣇⠀⠀⠘⡟⣆⠀⠀⢨⣿⣀⣷⣤⣾⣿⣷⣮⣉⣷⡀⢦⣱⡀⠀⢳⡀⠀⢷⠀⠀⠀⠀⠀⣰⣯⣀⠀⠀⠀⠀⢀⣳⡀⠀⠀⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⡄⠀⠀⠙⠘⣆⠀⠀⠘⡿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣷⣶⣧⡀⠀⠱⣄⠈⢣⡀⠀⠀⣴⣷⣿⣿⣿⣿⣿⣿⣶⣬⣽⣆⡠⠄⠀⠀⠀⠀⠳⣄⢀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠱⡄⠀⠀⢠⠘⡍⡏⠚⢿⠉⢿⡟⠛⢿⠿⣿⣿⣶⠻⠏⠁⢣⡀⠀⠘⢦⡀⠻⣄⠈⠉⢹⣿⣿⣾⣿⣽⣻⣿⣻⠿⠿⠿⠿⣶⣶⣤⣤⣤⡬⠮⢷⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢦⡀⠈⠳⣇⣸⠀⠘⣆⠈⢻⣯⡉⠀⠀⠈⣽⣀⡵⠀⠀⠱⣄⠀⠀⠙⠦⠘⠧⣤⣼⠉⠛⢻⡟⠛⠻⠿⢷⡄⠀⠀⠠⠟⠉⢦⡀⠀⠀⠀⠈⢧⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠲⢄⣈⣿⠀⠀⢻⡀⠀⠀⠙⠑⠒⠒⠉⠉⠀⠀⠲⠶⢬⣷⡄⠀⠀⠀⠀⠙⢿⣷⣖⠐⢧⠀⣀⣀⡼⠷⢶⠀⠀⢢⠀⠀⠙⣆⠀⠀⠀⠘⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡇⠀⠀⡸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠟⠻⠞⠁⠉⠀⠀⢸⡄⠀⢸⣇⠀⠀⠈⢦⠀⠀⠀⢻⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠁⠀⢀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠖⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠈⣽⡀⠀⠀⠘⡆⠀⠀⢼⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⡞⠀⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡇⣇⠀⠀⠀⡇⠀⠀⣾⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⣰⠁⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡇⢸⠀⠀⠀⡇⠀⢀⡏⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⣿⠀⠀⠀⢸⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡷⢿⠀⠀⢠⠇⠀⢸⡋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⢰⣿⠀⠀⠀⠸⡀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠆⠀⠀⠀⠀⢀⡇⠀⢸⠁⢸⠀⠀⣸⣀⣤⡟⠁⠀⠀⢰ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⡿⡆⠀⠀⠀⣇⠀⠈⠳⣄⠀⠀⠀⠀⠠⠐⠂⠀⠒⠢⠤⣄⣠⣴⡶⠟⠛⠉⠀⠀⠀⣠⠀⢀⣼⠇⠀⢸⠀⡼⠀⢰⣿⠉⠁⠃⠀⠂⠀⣾ ⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⢸⣇⢱⡀⠀⠀⠘⣆⠀⠀⠈⠑⢦⣄⠀⠀⠀⢀⣠⣴⣶⡿⠛⠋⠁⠀⠀⣀⣤⣴⡶⠟⢛⡴⠋⡿⠀⠀⡏⡼⠁⣠⡾⢻⠀⠀⠠⠆⠀⢠⣿ ⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⢻⠒⢷⡀⠀⠀⠘⣆⠀⠀⠀⠈⣎⣿⣶⡾⠿⠛⠉⠀⠀⣀⣠⣴⡶⠟⠋⠉⠀⠀⠀⠀⠀⢀⠇⠀⢸⡟⣡⠞⠁⡇⢸⢧⣀⣀⣀⣴⠋⠉ ⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⢰⣶⢷⢦⣳⣴⠖⠦⣈⣧⣶⣿⠿⣿⣏⠁⢀⣀⣤⣶⡾⠟⠛⠉⢀⣀⠤⠖⠀⠀⠀⢀⣠⠄⡼⠀⠀⡾⠞⠁⢀⡴⡇⢸⠀⠙⢦⡼⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣨⢧⡀⡏⠀⠀⠀⠹⣧⠀⠀⠀⠙⠋⠀⠤⠤⠶⢿⠟⠛⠉⠀⢈⣙⣻⣿⡉⠀⣀⣠⠤⠔⠋⠁⠀⣰⠇⢀⡞⠁⣠⠖⠃⠀⡇⢸⠀⠀⣀⣙⣶⣤⠄ ⠀⠀⠀⠀⠀⠀⡞⠁⠀⠻⣿⡄⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⢶⣉⠉⠁⣸⣈⡉⠉⠉⠀⣀⣠⡤⠔⢺⢃⣤⡯⠔⠋⠀⠀⠀⠀⡇⠈⠓⠉⠉⠀⠀⠉⠃ ⠀⠀⠀⠀⢠⣄⡇⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠠⣄⣹⡉⠉⣇⠀⠀⡅⠀⢀⣠⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⣇⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡇⠀⠈⢻⡀⠀⠀⠀⠀⢻⣦⠀⠀⠀⠀⠈⠻⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⠏⡆⢠⠀⠀⠆⡏⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣿⣿⣇⠀⠀⠀⢻⣄⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠉⠻⢽⣳⡀⠀⠀⠀⠀⠀⠀⠘⣆⠻⣆⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠛⠛⠉⠹⡄⠀⠀⠀⠹⣷⠀⠀⠀⠀⠘⢷⣆⠀⠀⠀⠀⠀⠀⠙⣧⣇⡀⠀⠀⠀⠀⠀⠀⠘⣇⠘⣇⠀⡃⡇⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠴⠒⠉⡉⠙⡀⢤⠀⠀⢠⡀⡌⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠁⣌⠓⠯⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠉⣀⣴⠖⠉⠀⣼⣧⠈⠆⠀⢆⠁⡇⠀⠀⡀⠀⠀⠀⠠⣀⠉⠢⡀⠈⢳⣄⡀⠉⠻⢦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⢊⠴⣿⠛⠁⠀⠀⣼⡝⡄⢳⡘⠀⠈⢦⡁⠀⠀⢻⡀⠀⠀⠀⠈⠓⢤⡘⠆⠀⠻⡌⠢⣀⠀⠙⠢⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡴⠛⣡⠊⠀⠀⠀⠀⢰⣿⡾⣇⣶⠘⠢⡀⠀⠑⣄⠀⢸⠈⡶⢄⠀⠀⠀⠐⣌⡓⢤⣀⠹⡄⠈⢣⣀⠀⠈⠳⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠁⠀⠀⠀⠀⠀⣾⣿⡆⢇⡏⠀⠀⠈⠢⣀⠈⠳⣈⡇⣧⠀⢻⢲⣦⣄⣀⡙⠓⠮⣷⣧⣄⠘⣿⣷⣄⡀⠘⢦⠀ ⠀⠀⠀⠀⠀⢀⣾⠀⠀⢀⠆⠀⡆⠀⣿⡟⢷⣸⡇⠀⠀⠀⠀⠈⠑⠦⣈⣛⣿⣆⠀⢿⡿⣜⢦⡈⠉⢻⣿⣍⠉⢅⢹⡆⢹⣿⢦⡀⢣ ⠀⠀⠀⠀⠀⣾⡟⢀⠀⡎⠀⠀⡇⢸⣟⡤⠞⢻⡏⠉⠑⡖⠀⠀⠀⠀⡄⣿⡿⠻⣖⠚⢷⡬⢮⡳⡀⠀⠻⡜⣇⠀⠻⣗⠀⢿⠀⠘⠦ ⠀⠀⠀⠀⢰⢋⣧⠋⢸⠀⠀⠀⢱⣸⠁⠀⠀⠀⢣⡇⠀⣧⠀⢆⠀⠀⣧⣿⠀⠀⠘⢷⡌⢧⠀⠙⠻⣆⠀⠙⢿⡐⡄⠘⣆⠘⡆⠀⠀ ⠀⠀⠀⠀⢀⠞⠁⠀⡇⠀⠀⠀⢘⣿⠀⣀⣤⣤⣼⣷⣀⣼⡳⡈⢆⢀⢹⣿⠀⠀⠀⣀⣳⣼⣦⣤⣀⠈⢻⣦⣈⠳⣵⠀⣾⣷⣿⠀⠀ ⠀⣀⠤⠞⠁⢀⣠⠜⡇⠀⠀⡆⣸⣿⡿⠛⠉⣉⡛⠿⣤⣿⠳⡙⢮⣿⡀⡇⠐⢊⡽⠛⣉⣭⣉⠙⢿⣷⣾⠹⡟⠀⠘⡆⢸⡏⠙⠀⠀ ⠈⠉⠓⠋⢉⣿⠃⠀⣇⣤⠐⢿⣿⠋⢀⣴⠞⠉⣭⠗⣿⣿⠀⢹⠀⢙⣷⣶⠀⠉⡾⠋⠉⠉⠛⢷⡀⠙⣿⢿⠇⡀⠀⡇⢸⣧⡀⠀⠀ ⠀⠀⠀⠀⣾⡟⡇⡆⠸⣿⡄⢸⠏⠀⠈⡏⠀⠀⠀⠀⣸⠿⡆⡞⢀⡼⡘⡌⠀⠸⣇⠀⠀⠀⢀⣸⡇⠀⣀⡜⠀⡟⠀⢹⣼⣧⠱⣄⠀ ⠀⠀⠀⠀⢿⢠⠿⡇⠀⢧⢳⣸⡄⠀⢀⣵⣦⣶⡶⢾⠏⢀⣾⡵⠋⠉⣿⣿⡀⠀⠛⠓⠶⠾⢿⡯⡀⠀⡿⠁⡸⠁⢠⣼⢷⡿⣆⣹⡛ ⠀⠀⠀⠀⠀⣼⡄⢣⠀⢸⠀⠙⣿⣦⡈⠁⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠘⢿⣧⡀⠀⠀⠀⠀⠀⠀⣠⡞⠁⡰⠁⠀⣸⡏⢣⣿⡄⠈⠉ ⠀⠀⠀⠀⠀⢸⡟⣌⣦⣾⣷⡀⠹⣿⠿⣒⣤⣤⣤⣲⠟⠋⠀⣠⠤⢄⡀⠀⠈⠛⠻⠴⠶⠦⢤⡼⢋⡠⢶⠁⠀⣰⡟⠀⣜⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣦⣉⠛⠛⠻⠦⣿⠣⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠙⣆⠀⠀⠀⠀⠀⠐⠛⠉⠁⢠⣿⣤⣾⡿⠗⣀⠞⢿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⠋⢻⡽⠲⡤⠶⢿⣆⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠸⠀⠀⠀⠀⣄⡀⠀⠀⣠⣏⣀⣠⣤⣴⢾⡇⠀⠻⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣤⣾⣃⣰⡷⢶⣤⡟⢷⣦⡀⡠⣦⠀⠀⠹⣄⠀⠀⢀⡾⠀⠀⠀⠀⠈⢯⣛⠫⠥⠤⢸⣿⣷⠇⣘⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⢏⠠⠀⢻⡁⠐⢹⣿⡱⢻⣄⠀⠀⠀⠉⠉⠁⠀⠀⢀⣠⣴⣾⣿⣿⠟⢳⣠⠞⣹⣿⡴⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣧⣀⣡⠷⠋⠉⣠⣿⠽⣿⣶⣤⣄⣠⣤⣶⣾⣿⡿⠉⠛⢿⡿⢀⡿⣁⣴⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢃⡝⠁⠀⢀⠞⡿⢄⣀⣏⣙⠿⢿⣿⣿⣿⣿⣿⣷⢤⣤⠔⠳⣾⣿⠟⢹⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⡧⠊⠀⣠⠖⣁⠼⠛⠉⠉⠁⠀⢒⣿⣿⡭⣀⠀⠀⠀⠀⠹⣦⡀⠙⠉⢠⡿⢁⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠤⠖⠚⣁⡠⠤⠾⠛⠉⠀⢀⣤⢤⣄⠶⡊⠉⠀⢘⠿⣾⣆⠤⢴⣶⣶⣿⢷⣦⣀⣀⣴⣿⣷⣤⣤⣤⣤⣤⣶⣶⣶ ⠀⠀⣀⣠⣤⠟⠀⠀⠀⠉⠀⠀⠀⢀⣠⣶⡿⢋⣁⣀⣀⣙⣿⣆⣀⣾⡟⠓⠒⠉⠉⠛⢻⣿⡞⠹⣯⡟⠉⢻⣿⣿⣿⣿⢟⣛⠛⣻⡟ ⢀⣾⣿⠟⠁⠀⠀⠀⠀⡒⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⣶⣃⣀⠀⠀⠀⠀⣸⣿⠿⣦⡉⡰⢁⣾⡿⠿⣿⡇⠈⠉⠈⣿⠗
⠀⠀⠀⠀⢀⠔⠁⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠆⠀⠩⠂ ⠀⠀⠀⢠⠃⠀⠀⡜⢀⠄⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀ ⠀⠀⢠⠃⠀⠀⣼⢀⢾⠀⢸⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠘⡀⠀ ⠀⢀⢻⠀⠘⣰⢠⡜⢠⠀⠸⡀⠀⡇⠀⠀⠀⠀⠰⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⠀⠀⣻⠐⣗⠚⡐⢲⢡⠀⠁⠀⠀⢀⠠⠄⢃⠀⠀⠴⡀⠀⠀⠀⠀⠀ ⠀⢀⠀⣧⠀⢱⣢⣸⣦⣰⡀⡆⠡⠘⡀⠀⢈⣎⠀⠀⢂⠀⠀⠐⠄⠀⠀⠀⠀ ⠀⠈⢄⠀⣱⡆⡟⣿⢿⠿⡽⠟⢄⠑⠐⢄⠺⣿⣿⣿⡳⠷⢦⡤⠌⠲⡄⠀⠀ ⠀⠀⠀⠑⠬⡇⢸⠈⠑⠒⠋⠁⠂⠦⠀⠈⠙⣶⣣⡨⠽⠂⠀⡈⠢⠀⠸⠀⠀ ⠀⠀⠀⠀⠠⠁⡄⡆⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣇⠀⠃⠀⡇⠀ ⠀⠀⠀⢠⠃⢰⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡿⠀⡀⢠⠁⠀ ⠀⠀⠀⠈⠀⢸⠀⠈⡈⠄⡀⠀⠠⠀⠄⣀⡠⠴⠚⢀⡀⡸⢀⢰⢀⡗⠎⠀⠀ ⠀⠀⠀⢠⠀⠸⠥⠀⠱⡀⢈⣦⠤⠖⢋⣁⠤⠔⠊⠉⠊⡆⢸⡢⢺⡧⡈⡠⠃ ⠀⠀⠀⠠⢆⡏⠉⢫⠈⠙⠉⠭⢖⣋⠉⢶⠆⠡⠀⢂⡱⣠⡡⠐⢹⣇⠈⠦⡀ ⠀⠀⠀⠇⠀⠙⣄⠀⠑⢄⡀⠀⠀⠈⠀⣼⣰⠀⢉⠤⠊⠁⠀⠀⠠⠀⠀⠀⠀ ⠰⠿⡄⠈⢦⠀⠘⢦⠀⠀⠉⢷⡄⠀⠀⠈⡕⡄⢸⠀⠀⠀⢀⠔⠀⠀⠀⠀⠀
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⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣄⡀⠀⠀⠀⣠⠀⠀⠀⠀ ⢛⠢⡀⠀⠀⠀⠀⢀⡴⠛⠉⠀⠀⠈⠃⠀⢀⠌⢽⠀⠀⠀⠀ ⢸⢃⠀⠑⡠⠄⠐⠚⠳⠖⠒⠐⠒⠤⣤⠐⠁⢠⢸⠀⠀⠀⠀ ⠀⡜⠄⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⢸⢸⠀⠀⠀⠀ ⠀⢱⡟⠀⢀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢾⡏⢀⡄⠀⠀ ⠀⢨⡁⠀⠈⣀⠀⠀⠀⠑⢄⠀⣀⡀⢀⠀⠀⡿⣿⣿⡇⡀⠀ ⠀⣆⡇⢀⣽⡷⢦⣄⠀⢀⣠⡵⠤⣄⢸⠀⠀⢰⣿⣟⣿⠃⠀ ⠀⢿⡇⠼⡱⡀⢀⠊⣴⡆⠱⡀⠀⡸⢾⠀⠀⢸⢿⣟⡵⡇⠀ ⠀⢀⡇⠀⣿⠲⠁⠀⢉⠀⢠⠞⠋⣩⢾⠀⠀⠘⡀⠀⠀⡁⠀ ⠀⣾⢀⠀⠀⡏⠔⣢⠤⠡⣜⠓⢫⣄⢦⢠⠀⣰⣧⠀⠀⢙⡄ ⠀⠙⡏⢄⠐⢿⠓⠚⠓⠒⠙⠚⠉⢸⠛⡌⢆⡈⡟⠹⠒⠙⠃ ⠀⠀⠀⠀⢹⠃⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠈⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠂⠀⠀⠉⠀⠀⠒⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢐⠃⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠁⠠⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣔⢡⠃⢀⠊⠀⠀⠀⢀⠆⢬⢹⢂⠐⠄⠀⠀⠈⢲⠒⠢⡀⠀⠀ ⠀⠀⠀⢰⢃⠂⠀⠆⠀⠀⠀⠀⠌⡜⢸⠀⠆⠣⠘⡀⠀⠀⠀⢣⠂⢍⢂⠀ ⠀⠀⠀⠇⡌⠀⠘⠀⠀⠀⠀⡜⠜⠀⠸⠀⠸⠀⢡⢡⠀⠀⠀⡀⡀⠠⡙⡀ ⠀⠀⢰⢠⠀⠀⣇⠁⢰⡀⣜⠌⠀⠀⡆⠀⠀⠆⠀⣎⡦⠇⠀⠀⠇⠀⢡⠃ ⠀⠀⠀⢸⠀⠀⣿⠀⡀⣸⣋⣉⣁⣲⠊⠀⢸⣿⣿⡽⣴⠀⠀⣸⣀⠀⠈⠆ ⠀⠀⠃⢸⠀⠀⢸⡆⣿⡏⣼⣿⣷⠁⠀⠀⠀⢹⣿⡇⣸⡇⢠⡟⡇⠀⢰⠀ ⠀⠀⠀⢸⢠⠀⠀⠏⠿⠑⠙⣭⠟⠀⠀⠀⠀⠈⠿⠅⠘⣷⢹⠁⣷⡠⡂⠀ ⠀⢰⡀⢸⢋⠄⠀⢰⡇⠀⠐⠐⠂⠀⠀⠀⠀⠀⠈⠉⠀⣿⠈⡀⣇⠁⡇⠀ ⠀⣼⠁⢸⠈⣾⡀⠀⢷⣀⠀⠀⠀⠀⠀⠂⠀⠀⠀⢀⡌⡟⠰⡷⡻⠀⠁⠀ ⢠⠃⠘⠈⠀⡇⡷⡀⠘⢆⣵⢤⣀⡀⠀⣀⣀⣠⣐⣁⠥⣥⣤⡿⠁⠀⠀⠀ ⠈⢰⣶⡄⢣⡧⠷⢿⣶⣾⠷⣶⡿⠛⠉⣠⣴⠟⠉⣠⡞⠉⠎⠁⠀⠀⠀⠀ ⠀⠈⠇⢧⠞⠀⡔⠛⠋⢁⡾⠋⠀⠀⡾⠛⠁⠀⠰⠁⡇⠀⡄⠀⠀⠀⠀⠀ ⠀⠀⠐⢸⠀⠀⠀⠀⠰⡊⣀⠔⠉⠈⠀⠀⠀⠀⠀⠀⠐⢄⡘⣶⠖⠀⠀⠀ ⠀⠀⠀⢸⣆⣀⣀⡄⠒⠋⠁⠀⣀⣀⣀⠀⡤⠤⠄⠀⠐⢺⡝⢣⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡾⡁⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡎⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⡑⠘⠍⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⡀⠀⠘⠉⢜⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡀⠀⠀⠐⡘⠄⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠠⠃⠀⠀⢋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⠀⠀⠀⠀⠈⠑⢂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡄⡿⠃⠀⠀⠀⠀⠴⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠅⠄⠀⠀⠀⠀⠀⠉⠛⢆⠀⠀⠀⠀⠀⠀⠀⠠⡳⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡁⡄⠀⠀⠀⠀⠀⠀⠀⡘⢃⠀⠀⠀⠀⠀⠀⠮⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠶⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠓⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣯⡃⠀⠀⠀⠀⠀⠀⠀⠀⠄⢫⠀⠀⠀⠀⠀⠀⠈⢸⡫⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣇⠀⠀⠀⠀⠀⠀⠀⠀⢿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡆⠀⠀⠀⠀⠀⢂⡟⢱⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢛⠄⠀⠀⠀⠀⠀⠀⣀⡟⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠭⣆⠀⠀⠀⣰⣞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⡂⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠙⠿⢞⠟⠗⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣏⡠⣤⣰⣘⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣄⣄⡀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠦⠄⡀⠀⢀⢄⠊⠉⡂⠀ ⠀⠀⡔⡫⠲⠢⢄⡀⠀⡰⠋⠀⠀⠀⢻⡀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠄⠀⠠⡀⠂⠀⠀⠀⠉⠀ ⠀⠀⡚⣥⡀⠀⠀⠈⢟⡅⠀⠀⠀⠀⢬⠀⠀⠀⠀⠀⢏⠀⠀⠀⠀⠀⣸⡄⠀⠀⠀⠀⠀⠀⣬⠀⠀⠀⠀⠀⠕⠀⠀⠛⠀⠀⠠⠈⡃⠀ ⠀⠀⠀⢙⡰⢠⡀⠀⠀⠀⠀⠀⠀⠠⡃⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⣟⣃⠀⠀⠀⠀⠀⠰⣟⠀⠀⠀⠀⠀⠀⠨⡀⠀⠀⠠⠲⠁⠀⠀ ⠀⠀⠀⠀⠀⠓⣠⢆⡀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠈⡆⡄⢀⣜⠲⣃⠂⠀⠀⠀⠀⢨⡇⠀⠀⠀⠀⠀⠀⠀⠱⡄⡴⠂⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠠⠚⢇⡀⠀⢬⠄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⠿⠗⠀⠀⠧⠡⢀⠤⣴⡏⠀⠀⠀⠀⠀⠀⠀⠀⡠⠫⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠌⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠮⠽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⣀⡀⠀⠀⠀⠀⠀⢀⠂⠀⣀⣠⣀⣠⠄⡒⠵⠤⠄⠀⠀⢀⣀⠤⡴⢖⣦ ⠀⣿⠙⢍⠒⠂⢤⠔⡹⣂⠉⠠⠃⠄⠈⠉⠀⢒⡀⡒⡠⠉⠀⢠⠮⠄⢸⣸ ⢠⣿⡀⣤⣱⣤⢂⠺⠋⢀⠔⣁⣊⡀⠀⠤⢀⠀⢘⠝⠲⡀⠴⠥⠬⠦⠈⣿ ⠀⣿⡇⡜⢀⠃⢁⠅⠊⠀⠀⢀⠀⠀⠈⠑⠄⡈⠙⠐⠀⠀⠑⢄⠀⡂⠷⡟ ⠀⢻⣇⠣⡾⡀⡮⠊⠀⠀⠀⠀⠁⠀⠀⠀⠁⠲⡄⠀⠀⠱⡀⠀⠲⠃⣸⡇ ⠀⠈⣿⡄⠑⣔⢇⡀⢀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠠⢄⠀⠀⠁⠀⠀⢳⠻⠀ ⠀⠀⠈⠛⢦⢫⢎⣖⡤⠿⠶⣈⠐⢖⠀⠽⢛⣟⠓⠦⡉⠢⡀⠀⠀⠘⡇⠀ ⠀⠀⠀⠀⠀⠟⠘⣏⠁⠀⢀⠤⠉⠁⠈⠀⣊⡈⠳⠄⠈⠢⡹⡢⡀⢃⡇⠀ ⠀⠀⠀⠀⣀⠜⢹⣿⣤⣾⠛⠛⠓⣄⠀⠀⠛⠿⣻⡳⢦⣤⣱⡷⣐⠮⠧⠀ ⠀⠀⠀⡼⠁⢠⠋⢿⡍⠁⠀⠀⠀⣤⡦⡄⠀⠀⠀⠀⠀⢸⡿⠷⡇⠀⠀⠀ ⠀⠀⢸⠁⠀⡃⠀⠀⢉⠢⠤⣀⠀⢙⡤⠃⠀⠀⣠⠤⠴⣍⠀⠀⢀⡀⠀⠀ ⠀⠀⠘⡀⠀⠑⠠⠀⠀⠑⡆⠀⢙⠋⠝⠉⢉⠟⠁⣀⡠⠎⠳⠉⠀⠀⢱⠀ ⠀⠀⠀⠀⠢⢀⣀⣀⠀⡘⠀⠀⢸⠁⠀⠀⠘⠀⠈⢹⠀⠀⡎⢉⠇⠀⡸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⢷⠀⠀⠀⠀⡇⠀⠀⢃⢠⠠⠋⡀⠜⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠛⣤⠤⠞⠚⠒⠒⠀⠀⢱⣀⣠⡴⠋⠉⠉⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡾⠛⠛⠛⠻⢷⣄⣤⣶⠶⢶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣤⣴⠶⠶⠶⣶⣿⠁⠀⠀⠀⠀⠀⠀⠙⠃⠀⠀⠀⠈⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⡋⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣴⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀ ⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀ ⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀ ⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣦⣤⣤⣶⡿⠛⠁⠀⠀⠀⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣵⢿⣿⡅⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠹⣧⣠⣤⣀⣀⠀⠀⠀⠀⣀⣠⣴⡿⠷⠶⠶⠶⠶⠶⠟⢻⣿⠟⠁⠀⠉⠀⣸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠉⠉⣿⡍⠛⠛⣛⣛⣛⣛⣉⡁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣷⡀⠀⠉⣿⡉⠉⠙⠛⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣄⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⣷⣄⠀⠈⠀⠀⠀⢀⣤⡶⠟⠛⠉⠉⠀⠀⠀⠀⠀⢁⣴⠟⠁⠀⠀⠀⠀⣀⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⢈⣻⣷⣦⣀⠀⠰⠟⠉⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠟⢿⣄⡀⠀⢀⣰⡿⠛⣿⣷⣀⠀ ⠀⠀⠀⠀⣠⡿⠁⠀⠈⠛⠻⠶⣶⣤⣤⣤⣤⣤⡴⠶⠟⠛⠉⠀⠀⠀⠙⠛⠛⠛⠋⠀⠀⢠⣮⣽⣿ ⠀⠀⠀⢰⡟⠁⠀⢠⣾⠏⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⢀⣦⣀⣀⣀⣀⣀⣤⣄⣿⣷⠟⠀⠀ ⠀⠀⠀⣿⠇⠀⢰⡿⠁⠀⠀⢀⣤⣴⡿⢻⣷⣄⠀⠀⠀⠀⠀⠸⣿⠉⠉⠉⠉⠉⠉⠻⠿⠇⠀⠀⠀ ⠀⠀⢸⡏⠀⠀⠸⣷⣤⡶⠾⠛⣉⠀⠀⣶⣿⡿⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣦⣀⠀⠀⠀⢀⣠⡾⠿⢷⣼⣿⠛⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠻⢶⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠻⣦⡀⠀⠀⠀⠀⠠⣤⣤⣼⣿⣦⣤⣤⣄⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⣷⣤⣬⣽⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠿⠿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠠⢴⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⣉⠀⠀⠀⠀⠀⠹⡟⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⣽⣿⣿⣿⣿⣿⠿⠟⠛⠉⢐⠛⢧⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣴⣿⣿⣿⣿⡿⠖⠀⠀⠀⠀⠀⠛⢦⡀⠀⠀⠀⣀⣤⠀⠀⠀⠹⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢾⣿⣿⠏⠁⠀⠀⠀⠀⠀⠀⢡⠀⠀⣉⣷⣶⡾⠋⠀⠀⠀⠀⠀⠙⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠ ⢀⣿⡏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣿⣫⡴⠃⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠋⠁⠀ ⠀⢹⣿⠀⢀⣀⣠⣤⣤⠄⠀⠀⠀⠛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣦⠀⠀⠀⠀⠀⣀⣀⣠⣤⠤⠤⠤⠤⠄⠒⠒⠒⠒⢒⣒⣶⡾⠯⠥⢤⣤⣴⣶⣶⣿ ⠀⠸⣿⠼⠛⠉⣉⣤⣶⠦⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡏⣿⡟⠲⡖⠋⠹⣥⣀⣀⣀⣀⣄⣠⠤⠴⠖⠒⠛⠉⠉⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿ ⠀⠀⠻⣇⠰⠻⠷⠏⠁⠚⠀⠀⠀⠀⠀⠀⠀⠈⠹⡄⠀⠀⠀⠀⠀⠀⢸⠇⣿⠃⢀⠀⠀⠀⠀⠀⠀⣿⣿⡇⡟⠒⠲⠤⠤⣤⣀⣴⣶⣶⣶⣾⣿⣿⣿⡿⠟⠉⠀ ⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⠃⠀⣠⣴⠆⠀⠀⡟⢸⡟⢀⠏⠀⠀⠀⠀⠀⣼⠏⡾⣱⠃⠀⠀⠀⠀⠀⠈⣹⣿⣿⣿⣿⣿⣿⣿⣿⠙⠲⣄ ⠀⠀⠀⠀⠹⣿⣦⣀⠀⠀⠀⠀⠀⠀⠤⠤⠴⠟⣁⣴⡾⡿⠁⠀⠀⠸⣰⡟⢡⠞⠀⠀⠀⠀⢀⣾⢫⣾⣱⠃⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢿⣿⣷⣀⠀⠀⠀⠀⢀⣠⣴⣾⠿⣫⡾⠁⣠⠔⢠⡾⢋⡴⠋⠀⠀⠀⠀⢀⣾⣷⡾⣱⠃⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣶⣶⡄⢿⣍⠐⠒⠚⠉⠠⠚⢁⣴⣟⡵⠋⠀⠀⠀⠀⠀⢠⣾⢹⡾⣱⠃⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⣿⣷⡀⠈⠹⠷⢦⣄⣤⠾⠛⠋⠁⠀⠀⠀⠀⠀⠀⣸⣿⣿⡿⣱⠃⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠟⠙⢧⠀⠀⠀⢈⡟⠁⢠⡀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⡟⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠉⠉⢻⠀⠀⠀⡜⠀⠀⢀⣷⡀⠀⠀⠀⢀⣴⣿⣿⣿⢏⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⠀⠀⡼⠁⠀⢰⠟⠁⠙⣿⣶⣾⣿⣿⣿⡟⣡⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⢰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢸⠀⠰⠃⢀⡴⠋⠀⠀⢠⡇⠈⠛⠻⣟⣫⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⣀⣿
⠀⠀⠀⢠⠤⡤⠤⡤⠤⡤⠤⡤⣤⠔⣤⡶⡖⢶⣔⢲⡲⢤⠤⡤⢒⡖⡆⠀⠀⠀ ⠀⠀⠀⠘⠜⠳⠽⣇⣵⣧⣵⣧⣼⣧⣿⣧⣯⣿⣿⣬⣽⣧⣷⣼⡪⠕⠃⠀⠀⠀ ⠀⡤⢄⠀⠀⠀⡠⠐⠀⢻⡿⣿⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀ ⢁⣤⡾⠓⠀⢰⠁⠀⠀⣼⣿⢃⣼⣿⣿⣿⣿⢿⣿⣿⣿⣿⢿⣿⣿⡿⡏⡄⠀⠀ ⣟⣿⣀⠀⣀⠈⠂⠐⣾⣿⣷⠿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡟⠈⢿⣿⣷⣻⣾⡀⢰ ⣿⡇⣸⢻⣿⢀⣠⡊⢉⣿⣷⣰⢯⣿⣝⡡⣽⡷⢿⣳⣿⠁⠐⠚⣿⡻⣿⣿⣿⣿ ⡟⣿⠇⡏⠉⠙⣟⣫⢹⠓⢸⡏⣮⠏⢀⣿⢋⡠⢚⡿⠁⠀⠀⠀⣿⠀⡻⣿⣿⢸ ⢳⣿⠀⡇⠀⠀⠇⠈⡿⠰⣇⣴⡞⢻⠿⣉⠡⠔⠋⠀⠀⣀⣤⣠⣸⢴⣿⣿⢹⣸ ⣜⢸⠀⡇⠄⢰⠴⠖⣧⠸⠻⠛⡻⢿⡇⠀⠀⠀⠀⠀⢸⣿⣧⣿⠃⣼⠁⢿⠁⢹ ⠊⡿⡄⡇⠀⠸⡀⠀⢹⡄⠐⢆⠀⡂⠃⠀⠀⠀⠀⠀⢸⠍⠉⡙⢀⣿⢸⡞⠀⠈ ⠀⠀⠀⡇⠀⢀⠑⢅⣺⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⢸⣿⣿⡇⠄⠀ ⠀⠀⠀⠃⠀⠀⡆⢸⣿⣿⣄⠀⠀⠀⠀⣀⣄⠀⠀⠀⠀⠀⠀⢀⠎⢯⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢇⣸⠿⣿⢛⠗⠒⣚⣭⡽⣺⣦⠊⢀⣀⡤⠒⠁⡼⠞⠀⣄⠀⠀ ⠀⡄⡀⠀⠀⠀⠟⢉⣯⡏⢈⠩⠭⠱⠤⢤⣟⣷⠟⠉⢉⢷⠀⠊⢠⠂⠀⠸⠠⠀ ⠠⠗⣓⠒⢀⣼⠚⠉⣩⡇⢰⣀⣀⣀⣀⡸⠋⡘⠀⢀⠆⢸⡆⠀⠀⣱⡀⢀⠆⠆ ⠀⠈⣂⠂⠙⢗⢃⡖⠞⢡⠀⠿⠀⠀⣀⠀⠀⠇⠀⠘⠀⡏⠑⠉⠀⠀⠀⠀⢻⡘ ⠀⠜⡃⠀⢠⣀⠁⢻⢉⢽⠷⣁⡀⠌⠀⠀⠀⠡⠀⠰⠊⠑⠄⠈⢢⠀⠀⠀⠈⠀ ⠀⠀⠀⠐⢄⣉⣻⠁⠊⠈⠂⠠⠄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⠄⠀⠦⡄⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡴⠦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠅⠀⢀⡈⠙⠲⣤⣀⣀⣠⡤⠒⠒⠒⠐⠂⠂⠁⠁⠁⠁⠀⡎⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠅⡠⠊⣀⠴⠊⠁⠁⠀⠀⠉⢏⠢⡀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠰⡎⢠⠎⠁⠀⡴⠒⠀⠀⠀⠀⠀⠡⡈⡂⠀⠀⠀⠀⠀⡰⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⢝⠁⠀⡠⠤⢄⡀⠀⠀⠀⠀⠀⠀⠐⡜⠄⠀⠀⢠⠜⠀⠀⠀⠀⠀ ⠀⠀⠀⢖⠒⠒⢾⣇⠀⣼⠁⠀⠀⠈⢣⠀⠀⠀⠀⠀⠀⡃⡅⣠⠒⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⣆⢈⢸⠻⠻⣇⣠⢤⣀⡀⢸⢀⣄⡄⠀⠀⢠⣿⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢈⠽⢚⡃⠀⡇⢸⠀⡼⠈⡙⠳⠃⠀⢀⢄⠏⠀⠈⠢⢄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⠂⠁⠘⡀⠷⣀⣉⡺⠴⠗⠃⡀⡠⠠⢐⠔⠉⠫⡈⠈⠈⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠧⠤⠤⠤⠵⣬⢆⠀⠀⠉⠉⢁⡠⠄⣶⣁⡀⠀⠀⣘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣽⣎⣑⡒⣊⣩⣑⣊⣈⢺⣅⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡼⢹⠙⠻⣟⣓⠒⠛⣩⠇⣿⠉⠉⠂⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡰⠁⣨⠀⠀⠀⠉⠳⣼⡅⢸⠀⠻⡦⢤⡀⠈⠈⣉⠝⠀⠀⠀⠀⠀⠀⠀wenda kitty Y2K ⠀⠀⠀⡠⠋⣠⠞⢹⠀⠀⠀⠀⠀⢀⠇⡆⠀⠀⠈⠳⢌⡲⠤⠽⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠎⠁⡼⠁⠀⢸⠀⠀⠀⠀⠤⣊⢀⣆⠀⠀⠀⠀⠀⠈⠉⠒⠒⠤⠤⠤⢄⡤⢦⠀ ⢞⡁⠀⡜⠁⠀⠀⢸⠀⠀⠠⠤⠒⠉⢸⠀⠙⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇ ⠸⠤⠞⠀⠀⠀⠀⠈⡆⠀⠀⠀⣸⠀⠈⠣⠀⠀⠀⠁⠐⠠⠠⢀⠀⠀⠀⣀⣀⣤⡣⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡇⡇⠀⠀⠢⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠈⠀⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢰⠁⢇⠀⠀⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⢸⠀⢸⠀⠀⠀⠘⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⡃⠀⠈⡅⡄⢐⣆⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡸⠀⡜⠀⠀⢀⠆⠀⠀⢇⠈⠒⠛⠛⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⢇⣞⢴⢲⠃⠌⠀⠀⠀⠸⡀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡜⠀⠀⠸⠃⢀⠇⠀⠀⠀⠀⡇⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢰⠃⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠓⠒⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⣈⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⠦⠤⠖⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⢶⡄⠀⠀⠀⠀⠀⠀⣀⣠⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣰⣾⡿⡡⢸⠃⣠⣾⠃⣠⣴⣾⣿⡟⠀⠀ ⠀⠀⠀⠀⢀⣴⣿⣿⣿⠿⣿⣼⡆⣸⣿⣿⣿⣿⢁⣿⠁⠀⠀ ⠀⠀⠀⠀⣾⣿⣿⡿⠋⡠⢋⣾⣵⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀ ⠀⠀⠀⢸⣿⣿⣿⣦⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⢀⣤⡈⣿⣿⣿⣿⣿⣿⣿⣿⢿⢿⣿⠟⣿⣿⣏⣤⣄⠀⠀ ⢠⣿⣿⣿⣾⣿⣿⣿⣿⠿⠛⣷⣯⣾⣿⣾⢿⣿⣿⣿⣿⣧⠀ ⣸⣿⡿⢿⣿⣿⠏⠁⠘⢄⠀⡏⢙⣿⣿⣧⢞⣹⣿⣮⡉⠛⠃ ⠉⢁⣴⣿⣿⣿⣀⠀⠀⠀⠁⠚⠉⠉⠻⢿⣭⣭⣻⣿⡿⠀⠀ ⠀⠘⢿⣿⣿⣿⣷⢷⣷⣔⢄⠲⠤⡀⠀⠈⡻⢻⣿⡟⠁⠀⠀ ⠀⠀⠀⠉⠻⢿⣿⡀⣿⣏⣷⣿⣦⣤⠉⠩⠛⠙⠋⠀⠀⠀⠀ ⠀⠀⠀⢀⡀⣠⣠⣴⣿⠇⠙⠟⠛⠉⣷⣤⣄⣀⠀⢀⠀⠀⠀ ⠀⠀⠀⣼⣿⣿⣿⣿⣿⣷⣄⠀⠀⣰⣿⣿⣿⣿⣿⣿⡄⠀⠀
⠀⠀⢀⣵⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤ ⠀⠀⣼⠁⣷⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠉⡇ ⠀⠰⠃⠀⠈⣧⣤⡴⣤⣠⣀⡀⡒⠁⠀⠄⡇ ⠀⣈⠀⣀⣀⡈⠘⠀⠉⠀⠋⠀⣀⣀⡈⠀⡅ ⠻⢟⢒⡿⠂⠀⢳⡤⢆⡠⠆⠀⠀⣴⡂⢁⡇ ⠀⠄⠈⠙⠭⠆⠄⠤⠠⠠⣐⣒⠄⣄⡙⠚⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠈⢸⣿⣿⣿⠋⢿⣿⣿⣿⣿⣿⡇⠀⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⠉⠸⣿⣿⣿⣿⣿⣿⡇⠀⢹⣿⣿⣿⣿⠁⠸⣿⣿⣿⣿⣿⣿⣿⡿⠙⢹⣿⣿⣿⣿⣿⣿⠁⠀⣾⣿⣿⣿⠀⠘⣿⣿⣿⣿⣿⡿⠀⢸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡏⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⢸⣿⣿⣿⣿⢃⠈⢿⣿⣿⣿⣿⣿⣿⡇⠀⠈⢹⣿⣿⣿⣿⡿⠀⢸⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣇⠀⠁⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⠀⠀⣿⣿⣿⣿⣿⣿⡃⠀⠸⣿⣿⣿⣿⣽⡆⠈⣿⣿⡿⣿⣿⣿⠁⠀⠀⠺⣿⣿⣿⣿⠇⢀⣿⣿⣿⣿⣿⠂⢠⢻⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣷⠀⢹⣿⣿⣿⣿⣿⠂⡐⠀⢿⣿⣿⣿⡾⣿⡄⠘⢿⡣⣿⣿⠇⠀⢠⠂⠨⢻⣿⣿⡟⢀⣺⣿⣿⣿⣿⣿⠑⠀⢹⣿⣿⣿⣿⠣⠀⢀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡁⠀⠹⣿⣿⣿⢋⠀⣽⡄⠸⣿⣿⣿⣿⣽⣿⡄⠈⠹⣽⡏⠀⠠⣿⣄⠀⠉⠻⠟⢀⢸⣟⣿⣿⣿⣿⣯⢅⠀⢘⣿⣿⣿⡋⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣧⡐⠀⠘⠛⠁⠈⢠⣿⣷⠂⢻⣿⣿⣿⣯⢿⣿⣄⢀⠐⠀⢐⣼⡿⣾⣷⣤⣀⢠⣿⣿⣯⣿⣿⣿⢿⣾⣷⠀⠀⠘⠛⠁⠈⢸⣇⠀⠸⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣷⣄⠒⠤⠠⢪⣿⣿⣿⣮⠈⣿⣿⣿⣿⣽⢿⢽⣷⣶⣸⣾⣛⢹⣿⣿⣿⣿⣿⣿⣿⣿⣾⠻⣫⣿⣿⣿⣷⣄⣶⡄⣤⣾⣿⣿⡄⢰⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣬⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⣿⣻⣟⣯⣟⣿⣻⣿⣽⣿⣽⣯⣿⣹⣭⢯⡽⢭⣳⣽⣿⡿⣟⣫⢛⣼⠛⣌⢣⠛⣦⡳⡘⢆⣣⢣⣙⠲⣍⢛⢾⣙⢟⡿⣷⣮⣙⠭⣟⡽⣿⣿⣿⣻⣟⣿⣻⢿⣟⣿⡿⣿⣿⣿⣿ ⣿⣳⣟⡾⣽⢾⣽⣿⣿⣟⢿⡻⣟⡿⣿⣿⣿⣿⣿⣟⡹⣜⡋⢦⡹⣅⠫⡔⢣⡙⢤⠚⡳⡌⢆⠣⣌⠳⡌⣎⠖⡬⢳⣜⢎⡝⢿⣷⣌⡹⣿⣿⣿⣳⣻⢾⣽⣻⢾⣯⣿⣟⣷⣿⣾ ⣿⣳⣯⢿⣽⡻⣾⣿⣿⣞⢧⡻⣜⡳⡵⣺⣿⣟⠷⣡⠟⣤⢙⣲⠓⣌⠳⢌⠣⡜⢢⡙⡴⡙⣎⡱⢌⡱⡘⠼⣞⢌⡣⢜⠳⣜⢳⢜⢻⣿⣿⣿⣿⣳⢯⣟⡾⣽⣯⢷⣿⣾⢿⣾⣿ ⣿⣳⢯⣟⣶⣻⢽⣿⣿⣯⢷⡹⣎⢓⣾⡿⡣⢇⢳⡏⡜⡤⢃⡾⠱⣌⠚⡬⠱⣌⠣⡌⠽⣖⠸⡇⢎⠴⣉⠳⡜⣮⢜⠣⣝⡸⢳⣫⣳⡙⢿⣿⣏⢯⣟⢾⣽⣳⢯⣿⣞⣯⣿⣷⣿ ⣿⣽⣻⣞⣳⡟⣮⢿⣿⣿⣯⣳⢫⣿⡟⡯⢱⡍⣾⠜⣢⠕⣩⣇⠳⣌⠱⡌⠳⣄⠳⣌⠣⢽⡣⠽⣎⠶⣡⢏⡼⣙⣎⢷⣌⡳⢻⣹⣶⢹⢎⣻⣿⣦⢻⡯⣾⢽⣻⢾⣽⣻⣷⢿⣻ ⣿⣞⡷⣯⢷⡻⣝⡾⢿⣿⣿⣝⣿⡿⣙⣖⢧⢺⣇⡛⢤⡛⠴⣯⠱⣌⠣⡜⡱⡌⠖⣬⡙⢦⢯⡓⡯⣖⡱⢎⠶⣡⢿⢬⠇⠀⠈⣳⢻⣧⣛⣦⢻⣿⡇⢿⡞⣯⣟⣯⣟⣷⣿⣻⣿ ⣿⢾⣽⣳⢯⣻⡝⣞⠿⣿⣿⣿⣿⡳⡗⣏⣎⣿⢧⡙⢦⣍⠳⣿⡱⢎⡕⢮⡱⢭⡹⢤⡛⣜⠺⡯⠇⠀⢝⣮⢗⠋⠊⠙⠊⠷⣼⡱⢯⣿⡵⢻⠈⠉⠠⣎⠛⢷⡾⣽⢾⣻⣾⣟⣿ ⣿⣻⢾⣭⢷⡳⣽⢫⡟⣽⣿⣿⡟⣷⣏⠶⣎⣿⠲⣝⠶⣬⢛⣿⣷⡩⢞⡱⣎⢧⡝⡶⣹⠮⣝⣽⣽⣼⠣⠋⠀⣠⢴⡾⢵⣢⠤⣉⠑⠻⠿⣋⣀⡀⠀⣴⠀⣯⠿⣽⢯⣷⢿⣾⢿ ⣿⣻⢧⣟⣟⣻⡼⢧⣻⡿⣿⣿⣿⢣⡟⡿⣤⢿⡿⣸⢧⡧⠿⢻⣿⣸⣟⣣⡜⣧⢼⣣⢇⡿⣸⡜⠄⠃⢀⣤⣻⠼⠃⢀⣀⣘⡘⠧⣟⡧⣄⣀⠛⠻⢠⣿⠀⣟⣿⣻⢿⣼⣿⣻⣿ ⣿⣽⣻⢮⡽⢧⣻⡝⡶⣱⣿⣿⣯⢻⣏⡷⣭⣿⣷⠗⢃⣠⢦⣦⢤⡤⣀⣉⠉⡚⠓⠚⠻⠍⠊⣀⣴⣚⠟⠊⢁⡤⠖⠋⠀⠀⠉⠓⠠⢬⣑⠛⠽⣲⠀⠈⡁⣙⡶⣯⣟⡾⣷⣻⣿ ⣿⡞⣷⢯⣻⡝⣶⢛⣸⢧⣿⣿⡿⣹⡿⣜⡷⠋⣠⣖⡯⠛⣁⣀⠉⠉⠓⠋⠛⠹⠽⣛⡶⣲⡿⠝⠊⣀⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣤⠀⠀⣳⠞⣷⢯⣟⡷⣿⣽ ⣷⣻⠽⣞⡵⠛⡄⢺⡌⡷⣿⣿⡗⣯⠿⢥⣴⡻⠓⢉⡴⠚⠁⠈⠉⠙⠛⠒⠲⠴⢤⣤⣄⣀⣠⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠧⣤⡐⣿⠀⠀⠀⠉⢲⣿⣽⣻⢷⣻ ⠗⡏⢋⠡⣀⠣⣜⣣⢻⡘⣽⠟⠋⠀⢀⠞⠃⣠⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢐⣿⠀⠄⠀⠀⢸⣿⣿⣿⢿⣽ ⠀⡘⠉⠁⢱⣜⣣⡾⠛⠁⠀⢀⠤⢪⣤⡀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢨⡿⡄⠂⠀⠀⢸⣿⣿⣿⣯⢙ ⠀⠀⢀⠰⠛⠜⠁⠀⢀⣤⢮⢣⠀⠈⣿⣇⢲⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣳⠾⠇⠀⠀⠀⣿⠰⣿⠄⡁⠀⠀⢸⣿⣿⣿⣿⣷ ⡀⠐⠀⠀⠀⠀⣠⢶⡏⣾⢯⢇⢇⢀⡸⠿⠆⠷⢄⠀⠀⠀⢠⣤⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡿⠿⠳⠀⠀⠀⠀⠀⠀⣿⢘⣯⡇⢧⠀⠀⢸⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠙⠻⠘⠛⠁⠈⠈⠁⠀⠀⣀⡠⣮⠀⠀⠀⠈⠉⠀⠉⠿⠿⠻⣄⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢣⣤⢶⠀⠀⡀⠀⠀⠀⣿⢸⣯⠇⡇⡤⣒⢾⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠤⠐⡖⡆⠉⢿⣧⢹⡆⠀⠀⠀⠀⠀⠀⢠⣤⣤⣼⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠿⠿⠝⠀⠀⠀⣿⢸⣯⠇⡇⢧⡙⢾⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢀⣠⠖⣽⣿⣿⣿⡀⠀⠱⡱⣈⠘⣿⣇⢿⡄⠀⠀⠀⢤⣴⣖⡏⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡆⢸⠷⠀⠀⠀⣿⢪⣿⡅⡇⢧⡙⣾⣿⣿⣿⣿⣿ ⠀⠀⠀⣰⡟⡰⢺⣿⣿⣿⣿⣷⡀⠀⢢⢧⢈⠹⣿⡎⣧⠀⠀⠀⠈⡉⡁⢀⣠⡄⠀⠀⠀⢀⡀⢀⣀⣀⣤⣤⡴⣖⡆⠀⠀⠉⠀⠀⠀⠀⠀⠀⣿⢸⣿⡔⡃⢧⡙⣾⣿⣿⣿⡿⣽ ⠀⠀⠘⢟⡰⢱⣟⣾⣿⣿⣿⣿⣧⡤⢄⣇⣇⠂⢿⣿⡹⣇⠀⠀⠀⠛⠛⠀⠛⠁⠀⠀⢻⣯⠛⠛⠉⠛⠈⠉⣁⡼⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢂⣉⣾⡇⣷⣿⣻⡽⣯⣟⡿⣿ ⠠⣀⠀⠀⠙⠻⣮⡿⢿⣿⣿⣿⣿⣿⡜⡜⡎⡎⢄⣿⣧⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠶⢇⣤⠀⠀⢤⣞⠉⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢟⣱⣿⣿⣅⣿⣷⣯⢷⣻⢾⣽⣳ ⡙⡔⢫⡶⣄⠀⢸⡹⣍⢿⣿⣿⣿⣿⣷⣍⢻⡽⡔⡘⣿⡎⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠋⠿⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⢣⣾⣿⣿⣿⢯⣟⣿⣽⡿⣽⣞⣷⣻ ⠉⠚⠽⠯⠿⣝⢏⡳⣎⣿⣿⣿⣿⣿⣿⣏⣶⣳⣻⣶⣅⠢⣉⠻⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⠤⠾⢏⣼⣿⣿⣟⣿⡿⣿⣽⢾⣿⣽⣟⣿⣾⣽ ⠀⠀⢠⣴⣽⣮⣯⣵⣿⣿⣿⢻⣿⣿⣿⣿⣿⣿⣧⣿⣿⣿⣦⢱⠈⠙⣷⣤⠀⠀⠀⠀⣤⢠⣤⣴⣶⡞⣯⠛⠛⢩⠉⡍⣥⣴⣤⣭⣶⣿⣿⢻⣷⢻⣾⣿⢻⣯⣿⣿⣿⣾⡟⣷⣿ ⣶⣯⣛⢶⡳⣞⡼⣣⠷⣩⢎⡗⢮⣙⡟⣿⣿⣿⣿⣾⣿⣿⣿⣿⣮⣱⢀⡛⠷⠞⡛⢛⠛⣋⣩⣁⣦⡴⣴⠾⣶⢳⣻⢿⣿⣿⣿⣿⣿⣿⣿⣻⢾⣯⢿⣿⣿⣻⣯⣿⣿⣿⣿⣿⣿ ⣿⣷⣯⢷⡻⣜⢧⡳⢯⡵⣋⡞⢧⡹⣜⠶⣹⢻⡟⣿⣿⣿⣻⣿⢿⣿⣷⣾⣶⣷⣞⡯⢿⡹⣏⢿⠶⣯⢷⣛⣾⡻⣭⢷⣿⣿⣿⣿⣿⣿⣳⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⢿⡿⣿ ⣿⣿⣯⣷⣻⢽⣺⣝⡳⣞⡵⣫⠷⣙⢮⡝⣖⢫⠿⣜⡯⢿⣿⣿⣿⣯⣿⡿⣿⣿⡞⣽⣛⡷⢯⣯⣟⡼⣫⡽⣎⢷⣫⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿ ⣿⣿⣿⣿⡽⣯⢿⡾⣵⣫⢞⡵⣫⡝⣮⡝⣮⣓⠯⣿⠼⣏⣟⡿⣿⣿⣿⣿⣿⣿⣿⡷⣯⣟⣯⢷⣽⣳⣭⣟⢿⣚⣶⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⡻⡿⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣽⣻⣿⣳⣭⡟⣾⣱⣛⢶⡹⢶⣹⣚⣯⢿⡽⣾⣽⣳⢿⢻⣿⣿⣿⣿⣿⣿⣾⣿⣞⣾⠳⢮⡟⣯⣟⡾⣽⣟⣾⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠉⠙⠿⣿⣿⣿ ⣿⣿⣿⣿⣿⣷⣻⢿⣿⡾⣽⣳⡽⣞⢯⡽⣣⡗⣧⡿⣯⣟⣷⢯⣟⣾⣹⣚⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⣀⠂⠤⣁⢂⡉⠻⢿ ⣿⣿⣿⣿⣿⡷⣿⣻⣿⣿⣷⢯⡷⣯⣟⣞⡷⣽⢲⣿⣽⣻⣾⢿⣽⣾⡱⣎⢯⡽⢷⡯⢿⣿⣿⣿⣿⢀⠀⣿⣿⣿⡿⢿⠿⢟⠻⠿⣽⡿⣿⣿⣿⣿⣿⣦⣁⣄⡘⠰⡀⢦⢈⡱⢈ ⣿⣿⣿⡿⣷⣿⣟⣿⣽⣿⣿⣯⣟⣷⣻⢾⡽⣞⣿⣿⣽⡿⣽⣿⣳⣿⣱⢯⡞⣽⢫⣝⣳⢎⡿⣹⢿⣶⣿⣯⠁⠀⠀⣀⠝⠦⡀⠀⠙⣿⣽⣿⣿⣿⣿⣿⣻⣟⣿⣿⣿⡄⠣⠔⡡
⣿⣿⡆⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⣾⣿⡆⠀ ⣿⣿⡇⠀⠀⢸⣿⢰⣿⡆⠀⣾⣿⡆⠀⣾⣷ ⣿⣿⡇⠀⠀⣿⣿⡇⠀ ⣿⣿⡇⠀⠀⢸⣿⠘⣿⣿⣤⣿⣿⣿⣤⣿⡇⢻⣿⡇⠀⠀⣿⣿⡇⠀ ⣿⣿⡇⠀⠀⢸⡿⠀⢹⣿⣿⣿⣿⣿⣿⣿⠁⢸⣿⣇⠀⢀⣿⣿⠇⠀ ⠙⢿⣷⣶⣶⡿⠁⠀⠈⣿⣿⠟⠀⣿⣿⠇⠀⠈⠻⣿⣶⣾⡿⠋⠀⠀
⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡄⣇⠀⠠⢸⢀⣄⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡧⠀⠀⠀⠀⠀⠀⣶⠄⣀⣀⠀⠠⣀⠀⠀⡏⠖⠄⠉⡌⠲⢳⠈⡟⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠀⠊⡍⣀⠉⠰⢂⠄⠒⠑⡤⠃⢱⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡟⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠙⡭⠁⡠⢌⣂⣐⠄⣀⠆⣺⢀⡀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⡿⣿⣿⣿⢸⣿⣿⣷⢹⣟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢓⠂⠤⣜⠓⠈⡁⢐⠛⢡⠘⠀⠛⡏⠀⠀⠀⢤⠢⡄⠀⠀⢀⠀⠀⡀⢀⡀⡀⡀⢀⡀⡀⡆⡀⠀⡀⡀⠀⠀ ⢸⣿⣿⡇⣿⣿⡿⡞⢹⣿⡘⡜⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠕⢪⡦⠃⠀⠀⠙⡆⡜⠁⣠⠴⠒⡇⠀⠀⠀⠂⠐⠀⠣⠘⠵⠘⠀⣙⠄⠛⠇⡇⠚⠂⠃⠃⠀⠚⡄⡇⠀⠀ ⢸⢸⣿⢅⡟⣿⢽⡇⢈⠷⡀⡇⣸⡇⠀⠀⠀⠀⠀⡀⣀⡀⠀⠀⢙⣴⠿⡄⠈⢁⣙⠂⠀⠀⠀⢀⢖⡒⣧⠀⠀⠀⣀⠀⠀⠀⡀⡀⠀⠀⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢈⢼⡫⢸⠋⠹⠀⢣⣏⠖⡁⡇⡟⡇⠀⠀⠀⠀⠀⠀⠙⠀⠉⠁⠀⠃⠤⠗⡈⠒⠦⠁⢁⠀⠀⠀⠤⠭⢼⡀⠀⠀⢅⢀⠈⡉⡏⠡⣎⡂⠀⣏⠶⡈⡑⢠⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠐⣮⠁⣾⠀⠀⠀⢸⢸⡠⠿⢃⣋⣡⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣘⠉⢉⣱⠛⠳⠄⠂⠀⠐⠷⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠣⠀⢺⠀⠨⡂⣴⣶⣶⣿⡿⢿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠅⠀⠐⠻⠄⠈⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠐⠠⠉⠀⠀⠡⡙⠟⠛⠁⠀⣼⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⣀⣁⣀⠄⠀⠠⣀⣠⢄⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⢱⠀⠁⠀⢰⡟⠻⢿⣷⠀⣴⠆⣴⡆⠀⡀⠀⠀⠀⠀⠈⢧⠀⠈⠛⠀⢀⣈⠉⠁⠀⠀⢀⣬⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢠⡟⠀⠁⠀⠀⠀⠸⡇⠹⠆⡾⠋⠀⠀⠀⠀⠀⠈⢦⣄⣄⠀⠁⣀⣠⣠⠴⠚⠉⣀⠸⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⠀⣰⠁⠀⠀⠀⠀⠀⢀⠀⣈⣮⠫⠇⠘⠙⠁⢀⣠⢖⣟⠔⠊⠁⠙⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⡗⠺⡙⣨⢘⣷⣷⡒⠒⣛⡻⠙⠋⢀⠠⠀⢈⠀⠂⠀⠈⠑⠒⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣀⠀⠀⠀⠀⠀⢻⡁⢄⠀⠉⣑⠟⢒⠈⠁⡀⠄⡤⠖⠁⡄⠊⠀⠀⠐⠈⠅⠔⠤⠤⣊⣻⣦⡀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡤⠴ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢧⣼⢍⠑⣤⠤⣤⣤⡼⠆⠑⠠⡁⠡⡴⣿⠗⠀⠀⢉⠠⠐⠁⠀⠀⣀⠔⠈⣠⣤⣶⣾⣿⣿⣿⣿⢃⡞⠛⠛⠛⠛⠉⠛⢥⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⡈⠀⢆⡀⢸⣰⣿⣿⣷⣆⡀⠀⡀⢀⠈⢱⠷⡆⠀⠀⠀⠀⣀⠀⣎⣀⣶⣾⣿⣿⣿⣿⣿⣿⣿⣷⠉⠀⠀⠀⠀⢀⣶⣿⡏⣁⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠴⣺⠁⢈⠀⠈⠣⢀⢻⣿⣿⣿⣿⣿⣷⣶⣤⣀⣛⣫⣡⣤⣶⣾⣿⣾⣿⣿⣿⣿⣿⣿⣻⠿⣿⣿⣿⣿⣿⣾⣶⣶⣤⣾⣿⣿⣿⣫⣇⠉⢶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠉⣤⣷⡇⠀⣘⣄⠘⣤⡄⠏⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡏⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠄ ⠀⠀⠀⣠⡀⣤⠖⣲⣾⡉⢀⣴⣾⣿⡿⠀⢀⡟⡹⠀⠈⠿⢄⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣌⢼⣿⣿⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀ ⢀⡤⠖⣷⢰⣦⣼⣿⣿⣿⣿⣿⣿⣿⠃⠀⣨⢴⢣⢣⠀⠀⣨⡧⠡⡄⢋⠩⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⢇⣾⣿⣿⣿⣿⣿⣿⣿⡿⢛⣡⣤⣾⣿⡄ ⠘⢺⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠀⢀⢟⣿⠟⣦⡗⠈⠩⡅⠁⡀⠂⠣⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⠿ ⠀⠈⠛⣷⣽⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠺⡾⠻⣤⣷⣧⡆⠀⠈⠀⠈⢆⠀⠡⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣋⣁⠀ ⢰⣯⡄⡈⣻⣿⣿⣿⣿⣿⣿⠏⡌⠀⠔⠊⠀⣠⠆⡹⠏⠛⢢⠀⠀⠀⠀⠑⠄⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇ ⢸⣿⣟⢿⣿⣿⣿⣿⡿⠋⠀⠀⠈⠉⠒⠶⣌⢃⣠⠏⠧⣰⣸⡷⠄⠀⠀⠐⢄⢂⢁⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛ ⢸⢿⣽⣿⠿⠿⢿⣿⠀⠀⠠⢄⡀⢀⠀⢮⠙⡧⡸⠂⠐⠉⠁⠁⠀⠀⡀⢢⣈⠘⡂⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣫⣥⢶⣒⣠ ⠈⠈⠈⠁⠀⢀⣤⠝⠀⠠⠀⠠⠞⠙⠄⠈⢃⠟⠀⣀⠀⠀⢀⠔⠀⠀⠙⠀⢳⡄⢱⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠫⠽⠶⠿⠿⠿⠿ ⠀⠀⠀⢀⣴⢿⡿⠀⠀⠀⠀⠾⠀⠀⢃⣸⠁⢀⡠⠜⢁⣾⣷⡄⠄⠀⠀⠀⠀⡷⠀⢇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠉⠁⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀ ⢠⡀⠀⣾⠏⣾⡇⠀⠀⠀⠀⠠⣎⠀⠈⡇⠈⠹⠀⣠⣾⣿⣿⡇⠀⠀⠀⠀⠀⢹⢇⠘⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢉⣠⣤⣤⣤⣤⣄⣤⣠⣀⣄⣀⣀⣀⣀⠁⠀⠀ ⠀⠀⠒⢿⣰⣿⠚⠀⠀⠀⠀⠀⡠⠀⠈⠑⢂⣡⣾⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠛⠀⢀⢹⠿⣿⣿⡿⣿⣿⡿⠿⢿⣿⠿⡛⠏⡉⠋⠁⠀⠉⠉⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠈⠻⠦⡀⠀⠀⢠⡾⣥⠤⠟⠛⢻⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⢠⡴⠕⢁⣾⣿⠋⣼⣿⠿⠶⠯⠯⣵⣾⡮⢀⣀⣤⣴⣤⣤⣤⣤⣶⣶⣶⣾⣶⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠊⠀⠀⣾⡿⠁⢰⣿⡿⠀⠀⠀⠀⣘⣿⣿⡧⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠸⣿⡇⠀⢸⣿⡷⠶⣶⠾⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠈⠉⠁⠀⠈⠉⠁⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀
⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⡤⠴⠤⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠉⢸⡏⠉⠀⠀⠀⣻⡟⢣⣄⡀⠀⠀⠀⠀⠀ ⡴⠋⠁⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⢀⣴⠏⠀⠀⠀⢠⡎⠀⠀⠀⢻⡝⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣠⠴⠛⠛⠋⣹⠋⠐⠉⠙⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⣠⠾⡿⠃⢀⣀⣤⣾⡟⠀⢸⡄⠀⠀⢿⠸⣇⡀⠀⠀ ⠀⠀⢀⡴⠋⠁⠀⠀⠀⣸⠇⠀⠀⠀⠀⢰⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢰⡏⠀⢷⣍⠉⠀⠿⢻⡀⢀⣾⠃⠀⣴⣾⢠⣿⡟⣇⠀ ⠀⠀⡞⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⢸⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣓⠺⣮⢷⣤⣄⠈⣷⢻⣯⡤⠾⠿⠏⣼⢁⡃⠿⢤ ⠀⠀⡇⠀⠀⠀⠀⠀⢸⠀⠀⡇⠀⢀⣤⡿⠚⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⡏⠻⠿⢧⡉⠻⠟⠺⢿⠀⢹⠆⠀⠐⣏⢸⠀⠀⠀ ⠀⠀⡇⠀⠀⢀⠀⠀⣾⠀⠀⣷⠀⠀⢸⡷⠒⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠁⠀⠀⠀⠀⠰⠛⢷⡴⠛⣿⠏⠀⠀⢀ ⠀⠀⠀⠀⠀⢸⠀⣰⢻⠀⠀⢹⢀⡿⣾⠀⠀⠀⠈⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣤⠀⠀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⣴⣿ ⠀⠀⡃⠀⠀⢸⠀⠘⢿⡀⠀⢸⡏⣠⠇⠀⣤⠴⠦⠷⣖⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣏⠁⠀⢀⡴⠶⡄⠀⠀⠀⠀⡼⠀⢀⡾⢸⡇ ⠀⠀⢳⠀⠀⢸⠀⠀⢸⠀⠀⢸⣧⡞⠀⠀⠈⢹⣷⣤⠾⡇⢹⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣷⣾⣿⢦⣄⠙⠶⣤⡀⢰⠃⣠⡞⠀⢸⠇ ⠀⠀⢸⠀⠀⣼⠀⢄⡿⣧⠀⠀⢻⣠⡶⣤⣤⡿⣰⠃⡴⠃⣼⣇⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⣽⣿⠃⠀⣿⣿⠶⠌⣿⠋⣰⡿⡀⠀⢸⢠ ⠀⠀⠘⠀⠀⡇⢀⣞⣠⣬⣧⡀⠸⣿⠃⡏⠀⢸⡃⠈⠁⠀⠁⢾⠀⠀⠀⠀⠀⠀⠀⢸⣿⠸⢿⡟⣄⠀⣿⣿⡃⠘⢿⣾⠛⠻⣿⡀⢸⠈ ⠀⠀⠀⡇⠈⣴⡾⠋⠀⠀⠈⠻⣶⣿⣸⠇⠀⠸⡇⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀⠀⣿⢹⡄⢸⠁⢹⢸⠏⣿⡇⠀⢸⡇⠀⠀⠙⣇⣻⢀ ⠀⠀⠀⠐⣨⠏⠀⠀⠀⠀⠀⠀⠘⣿⣿⡄⣴⡖⠳⠦⣤⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⣇⢸⡆⠸⣿⠀⣯⡇⠀⢸⣁⠀⠀⠀⠘⢿⡞
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣤⣴⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢴⡀⠤⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⡇⢹⣿⣿⣿⣿⣿⣿⣿⣿⠒⠒⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⡄⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⡇⠈⣿⣿⣿⡙⠟⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣁⡀⣿⣿⣷⣤⣤⣾⣿⣿⡟⠦⣄⣀⣀⡠⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⠒⢹⣿⣿⣿⡿⡸⢃⠏⠀⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⠏⣴⣅⣠⣸⠷⠛⠉⠀⠠⢎⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡷⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡤⠟⣁⠴⠛⠺⠿⢿⣿⣿⣿⣿⣿⣿⡛⠿⣿⣿⣿⣏⠀⠀⠀⠀⠀⠸⣿⣿⣹⠹⣿⣿⣿⣿⣿⣿⣿⠁⠈⠑⢄⠀⠀⠀⠀⠀⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣏⠳⠜⠿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠋⠉⣿⣿⣿⣻⣿⣏⠉⠉⠑⠚⠒⢲⠈⢉⣨⠤⠤⠀⠂ ⠀⠀⠀⡀⣀⣀⣀⡀⢀⣀⣀⠙⢿⣿⡏⠑⠦⠄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⣰⢿⣿⠿⠛⠉⠉⢂⣠⡤⠔⢲⠾⢶⣧⠛⣿⠁⣀⣀ ⠀⠀⠀⠀⠀⠀⢀⣀⣈⣀⣉⠽⠾⠻⣿⣶⣦⣤⣀⣀⣀⠀⢰⣟⣀⣀⣀⣤⣶⣏⣱⠛⠉⢠⠀⣠⡶⠛⠉⢀⠞⠁⠀⣸⣿⠉⠉⠀⠀⠀ ⠶⠐⠂⠈⠐⠊⠉⠀⠀⠀⠀⠀⠀⠐⠁⠈⠻⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⢿⣷⣤⣸⣄⠉⡄⠀⠀⡇⠀⢴⡾⢿⡏⠀⠀⠀⣠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⣀⣀⣀⡤⠽⠋⣧⡿⠿⣥⠤⠤⣤⡒⠶⠯⠉⠉⠐⠛⣉⣉⠿⣧⡀⠘⣿⠁⡏⠀⡸⡇⠀⠀⠀⠛⠻ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⡾⠭⠀⠒⣉⣤⠤⠔⠊⢉⣠⡤⠊⠀⠀⠀⢀⣑⣆⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢹⣿⣄⣧⡔⠛⡇⠀⠀⠀⠀⠀ ⣷⣶⣶⣤⣀⠤⠒⠉⠀⠀⠀⠔⠉⠀⠀⠀⢀⢴⡟⠉⠀⠀⢀⠔⠋⠉⠉⠉⠒⠢⠤⠤⣀⣀⣀⣀⣀⣀⠤⠿⠛⠛⠚⣍⠉⠙⣄⠀⠀⠀ ⠀⠉⠙⠛⠿⣶⣤⣀⠀⠀⠀⠀⠀⢀⡠⠚⡁⠸⠀⠀⠀⣰⣃⣀⣀⣠⣤⣦⣄⣀⡀⠀⠀⠀⣠⠾⠋⠀⠀⠀⠀⠀⣄⠈⠓⠠⣼⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠛⠷⣦⣤⣦⡀⠀⠀⢇⣠⣶⡾⠿⠛⠋⠛⠿⢿⣤⣄⡀⠉⠙⠛⠷⣶⣤⣀⡀⠀⠀⠀⠀⠀⠈⠑⢦⡀⠘⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠢⢄⣘⣧⠀⠉⠓⠦⢝⣺⠽⣆⠈⠙⠛⢷⣦⣴⣤⣀⠉⣛⠿⣷⣦⡀⠀⠹⣷⣦⡀⢹⣦⠾⣤⡤ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡀⠀⠀⠀⣹⠀⠀⠀⠀⠀⠈⠉⠛⠿⡶⠦⣤⣉⠉⠙⣻⣿⠷⢼⠿⣿⣷⣶⣦⣼⣿⡟⢋⡁⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠋⠉⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠮⣝⠲⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠛⠁⠀⠀⠀⠀⠐⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣄⡉⠙⠒⠲⢤⣤⣴⣦⣶⠿⠒⠈⠉⠉⠉⠉⠋⣷⠖⠛⠷⠦⠤⢤⣀⣀⢀⡀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀astro and dandy suck so I KILL them⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠻⣄⠀⠀⠀⡷⢠⡿⠉⠛⠲⠶⠆⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢷⣦⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⣸⣷⠛⠀⠀⢠⡼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢧⣿⠓⠦⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀haha emily better⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠴⢛⣿⠃⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⠈⠙⠲⢤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⡠⢤⠤⠴⠶⠒⠚⠛⠉⠉⠁⠀⢀⡞⣿⠀⠀⠾⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⠀⠀⠀⠀⠀⠈⠙⠲⢤⣀⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠶⠶⠚⠚⠋⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⡏⠀⠀⠀⠀⠀⢤⣀⠀⠀⠀⠀⠀⠀⠀⢰⡴⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣞⣁⣀⣄⣀⣰⣶⣶⡶⠶⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⡀⠀⠀⠀⠀⠀⢠⣇⢀⡇⠀⠀⠀⠀⠀⠀⢉⣹⠲⠤⣄⣀⢀⠀⠈⢳⣤⠤⠟⠛⠶⢤⣀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⣼⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⢛⡿⠋⠁⠀⠀⢀⣀⣼⣥⠬⠤⠽⠷⣤⣍⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠲⣄⣀⠀⠀⢸⠉⢻⣧⡀⠀⠀⢀⣠⠶⠋⠉⠀⠀⠀⠈⠉⠉⠙⠛⢿⡓⢦⣀⠀⠀⠘⢳⡀⠀⠀⠀⠀⢈⣇⠀⠀⠀⠀⢀⡼⠃⠀⠀ ⠀⠀⠀⠀⢠⣤⠴⠶⠶⢤⣀⣀⣴⣛⣛⡲⠞⠛⠓⠲⢦⠀⠀⠀⣤⠶⠋⠁⠀⢠⡟⠂⠀⠀⣠⠖⠋⢹⠇⠀⠀⠀⠀⠀⠈⠳⣜⣏⠓⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⢾⣤⣾⣧⠙⣦⣴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣦⣈⢳⠀⠀⠀⢷⡀⠀⠀⠀⢠⣿⠀⠀⠀⢀⡾⠁⠀⠀⠀ ⠀⠀⠀⠀⠸⣆⠀⠀⠀⣠⡾⢻⣄⠀⠈⠁⠀⠀⠀⠀⣸⠀⠀⠀⠉⠀⠀⠀⠀⠸⣷⣄⠀⠻⠁⡇⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣄⠀⠀⠉⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⢿⡁⠀⠀⢀⣯⣹⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣈⣻⣧⣀⠀⣼⠟⠀⠀⠀⠰⡟⡆⠀⠀⡞⠁⠀⠀⠀⠀ ⠀⠀⣀⣀⣠⣘⣷⣴⡾⠉⠀⠰⢾⣷⡀⠀⠀⠀⠀⢠⠟⠄⠀⠀⠀⠀⠀⠀⠀⠈⢳⡈⠙⠳⠞⠁⢸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡈⠳⣄⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⣄⣀⣀⣠⣄⣤⣴⠶⠾⠯⠥⠴⠷⠞⢿⡛⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣇⠈⠁⣈⡿⠧⣄⡀⠀⠀⣼⠃⠀⠀⢸⠁⠀⠀⠀⠀⠀ ⣾⠉⠉⠉⠀⠀⢼⡋⣥⠀⢠⣶⣠⣄⣹⡷⣄⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⡴⠟⣶⡀⢸⠇⠀⠀⠀⠀⢀⣀⣀⡀⠀⠘⡇⠀⠘⢣⡄⠀⠀⢿⠀⠀⠀⠀⠀⠀⠙⣍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡗⠚⠉⠀⠀⠀⠉⣻⠾⠧⠄⠀⠀⣽⠀⠀⠀⠀⠀⠀ ⠘⠛⠓⠒⠶⡆⢸⡅⠈⠻⣾⣅⢂⣼⠛⢷⣾⡗⢺⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⣿⡧⢸⣦⣤⡶⠟⠛⠋⠉⠉⠀⠀⠀⣿⠀⠀⠀⠙⢦⡀⠘⣧⠀⠀⠀⠀⠀⠀⠈⢳⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣄⡀⠀⠀⠀⠀⠀⠀⣀⠀⠀⢀⣤⣤⣤⣤⡴⠋⠁⠀⠀⠀⣀⡴⠛⠉⠀⠀⠀⠀⢀⣗⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⠃⠀⢷⠀⠀⠀⢻⡟⠁⠀⠀⠀⣧⣄⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡞⠋⢸⡅⠈⠙⠲⢤⣄⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⢹⣦⣼⠆⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠲⠤⠤⣄⣠⣈⣛⣚⣛⣅⣀⣀⡀⢀⠀⢀⣠⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⢀⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡞⠀⠀⠸⣆⠀⠀⠈⠁⢀⣤⣤⣴⣟⣻⣾⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⣀⣈⣷⡀⠀⠀⠈⠙⠲⢤⠀⣠⠟⠀⠀⠀⠀⠀⡴⠚⡛⠋⢠⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⢙⡟⠛⢿⣓⠚⠒⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⠃⠀⢀⠀⢹⣄⠀⢠⡖⢋⣧⡾⢻⠾⠋⠀⠙⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡉⢻⡛⢶⠀⣀⣀⡴⠞⠁⠀⠀⠀⠀⠀⠀⠓⠒⠷⠷⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⠏⠀⠀⠀⠉⠓⠲⠤⠤⢤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠘⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡶⣿⣩⣉⣽⡉⠙⠛⠛⠉⠀⣰⡾⠂⠀⠀⠀⢸⠆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠉⠋⣙⠉⢿⡉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⡄⣤⠤⠤⠴⠶⠖⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⠓⠧⠮⠽⣏⠙⠲⠶⠶⠖⠋⠉⠀⠀⠀⠀⢠⡞⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⡏⠉⠉⣹⡶⣞⠛⠻⡗⠀⢿⡛⠓⠲⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⠷⣖⠚⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⢀⣤⠴⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠙⠶⠿⠀⢸⠃⠀⠈⣇⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠟⠹⣯⠀⠀⠘⢧⣀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⠀⠀⠀⠀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢸⢾⣿⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⢛⠀⠀⠀⠈⠳⣄⠀⠀⠈⠉⢛⣽⠖⠛⠉⠉⠙⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⣶⣀⣀⣤⣠⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣼⣖⣺⡿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠚⠦⣄⣀⠀⠀⣙⣦⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⣀⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠁⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠷⡴⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⣄⠀⠀⠀⠀⠀⠀⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠀⠀⠀⢻⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀

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⠀⠀⠀⠀⠀⠀⠀⢀⡠⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⠔⢁⠄⢊⠩⡐⠬⠥⣄⣙⠳⠢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡤⣊⠔⡰⡡⣀⣆⠌⣂⢭⠄⠒⣢⣕⣤⣵⡷⡄⠀⠀⠀⠀⠀ ⠀⠀⡨⠊⠀⢠⢋⠸⢠⠞⠋⠉⠀⠀⠀⠀⠈⠋⠩⢹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡸⠸⢀⢎⠐⣈⣉⠁⠀⢁⣤⡉⣾⠀⡎⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⢇⠇⢘⢸⠛⢫⣽⢁⠀⢹⣭⠛⢺⠀⡟⢹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣜⠌⡇⡘⢸⣀⣛⣁⠀⠁⠀⣙⣡⢏⡆⠇⠇⢧⠀⠀⠀⠀ ⠀⢀⣴⡾⠎⡠⡕⠀⡆⢓⡾⣗⣒⠒⣒⡞⢛⠸⠡⠘⢜⠌⢦⠀⠀⠀ ⠀⡾⡕⢁⡇⠰⠀⢸⢈⡡⠷⡃⠀⠀⠀⣧⢦⣙⢃⠡⠠⠙⠢⡑⡄⠀ ⠀⣧⢁⠜⡁⠀⣁⠘⣿⢝⣦⡙⣢⠴⠊⡡⠊⣿⣿⠀⢱⠀⢲⣮⣜⡄ ⠀⢹⠎⠌⠀⢌⠜⠠⣿⣕⢧⡹⣤⡄⢊⣱⡁⣿⡏⠀⡌⡀⠀⠱⣣⣳ ⢰⠁⠈⠜⢀⠊⢀⣿⣿⣷⡞⢫⠔⢑⢾⢀⢿⣿⣶⣴⠀⠑⠄⠄⢙⢹ ⠸⡀⠸⣄⢸⠀⠘⣿⣿⣿⠑⡝⢆⡁⠜⠇⣼⣿⣿⢿⠀⠀⠈⢪⡈⢸

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