⠀                  ⠀⠀⣰⣿⡇⠀⠀⠀⠀⠀⠀⠀
⠐⢦⣤⣀⡀⠀⠀⠀⢀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠻⣿⣿⣿⣶⣦⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣄⣀⠀⠀⠀
⠀⠀⠀⠀⢨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠗⠂
⠀⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠉⠁⠀⠀⠀⠀
⠀⢠⣾⣿⣿⠿⠛⠛⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⠐⠋⠉⠀⠀⠀⠀⠀⠀⠹⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢰⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢸⣿⠄⠀⠀⠀⢰⣴⣦⣶⣴⣦⣶⣴⣦⣶⠄⠀
⠀⠀⢸⣿⠄⠀⠀⠀⢸⣿⡏⠋⠋⠋⠋⠋⠋⠋⠁⠀
⠀⠀⢸⣿⠄⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢸⣿⣶⣶⣶⣶⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢸⣿⠋⠉⠉⠉⢹⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢸⣿⠂⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢸⣿⠂⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢸⣿⠂⠀⠀⠀⠘⠙⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠘⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀            ⠀⠀⠀⠀⠀     ⠀⠀⣴⣷⣄⠀⠀⠀⠀⠀⣦⡆⠀
⠀⠀⢀⣀⣀⡀⠀⠀⠀⠈⠛⢿⣿⣶⣦⣤⣬⣿⡇⠀
⢀⣾⣿⠿⠿⣿⣦⠀⠀⢀⡀⣴⣾⡿⠟⠛⠛⣿⡇⠀
⣼⣿⠁⠀⠀⠹⣿⡆⠀⢿⣿⣦⣁⠀⠀⠀⠀⣭⡅⠀
⣿⡏⠀⠀⠀⠀⣿⣗⠀⠀⠈⠛⣿⣿⣶⣶⣾⣿⡇⠀
⣿⣗⠀⠀⠀⠀⣿⡯⠀⢀⣴⣿⡿⠛⠋⠉⢉⣿⡇⠀
⢻⣿⡀⠀⠀⢰⣿⠇⠀⠙⠛⠁⠀⠀⠀⠀⠀⠉⠁⠀
⠈⢿⣿⣶⣶⣿⠟⠀⢴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡆
⠀⠀⠈⠙⠉⠁⠀⠀⠈⠉⠉⠉⠉⢽⣿⠉⠉⠉⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠠⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢴⣶⣶⣶⣶⣶⠀⠨⣿⡇⠀⠀⠀⣤⣶⣶⣦⣄⠀⠀
⢺⣿⠉⠉⠉⠉⠀⠨⣿⡇⠀⠀⣾⣿⠋⠉⠻⣿⣆⠀
⣹⣿⠀⠀⠀⠀⠀⠨⣿⡇⠀⢸⣿⠇⠀⠀⠀⢻⣿⠀
⢺⣿⠀⠀⠀⠀⠀⠨⣿⡇⠀⢸⣿⠀⠀⠀⠀⢸⣿⡂
⢽⣿⠀⠀⠀⠀⠀⠨⣿⡇⠀⢸⣿⡅⠀⠀⠀⣸⣿⠀
⣹⣿⠀⠀⠀⠀⠀⠨⣿⡇⠀⠈⣿⣧⠀⠀⢠⣿⡟⠀
⢼⣿⠀⠀⠀⠀⠀⠨⣿⡇⠀⠀⠘⢿⣿⣾⣿⠟⠁⠀
⠈⠈⠀⠀⠀⠀⠀⠨⣿⡇⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀            ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀
⣤⣴⣤⣤⣦⡄⠀⣤⡄⠀⠈⢿⣿⣦⡀⠀⠀⠀⠀⠀
⣿⣿⠋⠻⣿⡂⠀⣿⡏⠀⠀⠀⠉⠻⢿⣷⣶⣶⣶⠀
⣿⣿⠀⠸⣿⠅⠀⣿⡧⠀⠀⠀⣠⣾⡿⠟⠛⠉⠉⠀
⣿⣿⠀⠸⣿⠅⠀⣿⡇⠀⢀⣾⣿⠋⠀⠀⠀⠀⠀⠀
⣿⣿⠀⠸⣿⠅⠀⣿⡏⠀⠘⠻⠃⠀⠀⠀⠀⠀⠀⠀
⣿⣿⠀⠸⣿⡅⡀⣿⡧⠀⣀⡀⣀⡀⣀⣀⢀⣀⡀⡀
⣿⣿⠀⠸⢿⢿⢿⢿⢇⠨⢿⢿⢿⢿⣿⡿⡿⢿⢿⠇
⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣿⡇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣠⣴⣶⣿⣿⣿⣿⣿⣶⣦⣀⠀⠀⠀
⠀⠀⠀⠀⠀⣼⣿⠟⠉⠀⠀⠀⠀⠈⠉⠻⣿⣧⠀⠀
⠀⠀⠀ ⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀
⠀⠀⠀⠀⠀⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⠀⠀
⠀⠀⠀⠀⠀⠈⠻⢿⣿⣷⣶⣶⣶⣾⣿⡿⠛⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀
⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⣿⣿⠿⠿⠿⠿⠿⠿⠿⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀            ⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣶⣶⣶⣦⡄⠀⠀
⢻⣿⣦⡀⠀⠀⠀⠀⠀⠀⣾⣿⠋⠉⠉⠉⠻⣿⣆⠀
⠀⠙⠻⣿⣶⣦⣤⣤⠀⢸⣿⡇⠀⠀⠀⠀⠀⣻⣿⠀
⠀⢀⣴⣾⡿⠟⠛⠛⠀⠘⣿⣇⠀⠀⠀⠀⢀⣾⡿⠀
⣾⣧⡙⠁⠀⠀⠀⠀⠀⠀⠹⢿⣷⣦⣤⣶⣿⡿⠁⠀
⠈⢻⣿⣦⣄⡀⠀⠀⠀⠀⠀⠀⠉⠋⠛⠉⠁⠀⠀⠀
⠀⠀⣈⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢠⣾⡿⠛⠉⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠙⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⠀⠀
⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡯⠀⠀
⠀⠀⠀⠀⠀⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡯⠀⠀
⠀⠀⠀⠀⠀⢽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡯⠀⠀
⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡯⠀⠀
⠀⠀⠀⠀⠀⠸⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠⣠⣠⣠⣠⣠⣠⣠⣠⣠⣠⣠⣠⣠⣠⣠⣠⣠⣠⡀
⠿⠟⠿⠟⠿⠻⠟⠿⠻⠟⣿⣿⠟⠿⠻⠟⠿⠻⠿⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡇⠀⠀⠀⠀⠀⠀⠀
⠠⣀⡀⠀⠀⠀⠀⠀⠀⣠⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠙⢿⣿⣶⣦⣤⣀⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⠄
⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠁⠀⠀
⠀⠀⣰⣿⣿⣿⣿⠿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⢀⠾⠟⠛⠉⠁⠀⠀⠈⢿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡇⠀⠀⠀⠀⠀⠀⠀               

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