⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⣔⣦⣤⣀⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠈⠘⢹⡆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡟⠂⠀⠀⢶⣗⠀⠀⠀⢭⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⢭⡆⠀⣰⠋⠉⡧⠀⠀⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣸⣿⡏⠁⠉⠉⠈⣟⣟⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠻⣟⡅⠀⠀⠀⠀⢜⣿⡗⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠠⣳⠆⠀⠀⠀⠀⣊⠟⠅⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢨⢟⡆⠀⠀⠀⠀⣊⡟⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⣹⠃⠀⠀⠀⠀⠮⣻⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠾⡇⠀⠀⠀⠀⢏⡯⠄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢤⠇⠀⠀⠀⠀⠨⢿⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢕⠆⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡀⡎⣄⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀
⠀⠀⣀⣴⡲⡏⣏⠻⣟⠁⠀⠀⠀⠀⢀⣭⣤⣫⡣⡀⠀
⠀⠌⡿⠍⠀⠀⠀⠈⠓⠀⠀⠀⠀⠀⠰⠃⡞⠉⠙⣍⡄
⢸⡨⡓⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠁⠀⠀⡽⡧
⢘⣳⢡⠀⠀⠀⠀⠀⢀⡤⡿⢧⡆⠀⠀⠀⠀⠀⠀⣝⣗
⠀⠻⣇⣯⣐⣐⣴⡯⠏⠁⠀⠉⢣⣆⠀⠀⠀⠀⡴⡏⠅
⠀⠀⠀⠁⠉⠁⠁⠀⠀⠀⠀⠀⠁⠩⢓⢷⣏⢗⠍⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣴⠟⠁⠀⠀⠈⠘⢹⡆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡟⠂⠀⠀⢶⣗⠀⠀⠀⢭⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⢭⡆⠀⣰⠋⠉⡧⠀⠀⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢸⣸⣿⡏⠁⠉⠉⠈⣟⣟⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠻⣟⡅⠀⠀⠀⠀⢜⣿⡗⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠠⣳⠆⠀⠀⠀⠀⣊⠟⠅⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢨⢟⡆⠀⠀⠀⠀⣊⡟⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⣹⠃⠀⠀⠀⠀⠮⣻⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠾⡇⠀⠀⠀⠀⢏⡯⠄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢤⠇⠀⠀⠀⠀⠨⢿⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢕⠆⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡀⡎⣄⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀
⠀⠀⣀⣴⡲⡏⣏⠻⣟⠁⠀⠀⠀⠀⢀⣭⣤⣫⡣⡀⠀
⠀⠌⡿⠍⠀⠀⠀⠈⠓⠀⠀⠀⠀⠀⠰⠃⡞⠉⠙⣍⡄
⢸⡨⡓⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠁⠀⠀⡽⡧
⢘⣳⢡⠀⠀⠀⠀⠀⢀⡤⡿⢧⡆⠀⠀⠀⠀⠀⠀⣝⣗
⠀⠻⣇⣯⣐⣐⣴⡯⠏⠁⠀⠉⢣⣆⠀⠀⠀⠀⡴⡏⠅
⠀⠀⠀⠁⠉⠁⠁⠀⠀⠀⠀⠀⠁⠩⢓⢷⣏⢗⠍⠁⠀
리플