⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠭⠽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠗⠒⠓⠾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠛⠚⠋⠁⠓⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣋⡈⣘⢉⢁⣈⠑⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣽⢞⣂⣁⣀⡄⣭⣉⡑⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣶⣭⣿⣶⣶⣶⣦⣤⣌⣉⡚⢆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡯⠋⠍⠀⠈⡉⠊⢉⡽⢛⣿⡆⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢐⡾⣟⠲⠛⠆⠈⠉⠉⠩⢿⣧⣔⣺⣼⣿⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣰⣿⢿⢁⣉⣤⣤⣶⣦⣴⣤⣴⣰⣽⡿⣞⣭⣿⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣰⣟⣱⣶⣿⣿⣿⡇⠰⣻⣿⣟⣿⣟⡷⣟⢾⣷⣯⣗⡀⠀⠀⠀⠀
⠀⠀⠀⠀⣰⡷⣿⣿⡿⣙⠸⣿⣿⣿⣿⠟⣽⣿⢱⢹⣿⣿⣿⣿⣿⢷⡀⠀⠀⠀
⠀⠀⠀⡰⣭⣙⠌⠩⠓⠃⠡⠙⠻⠿⠿⠽⠛⢁⠁⢚⣿⣾⣷⠿⡛⢿⣧⠀⠀⠀
⠀⠀⣰⠲⡌⠣⠌⣁⠂⠠⠀⠂⠀⠤⢤⢤⢐⡒⠽⣋⣋⠮⠥⡒⢏⣛⣩⣧⠀⠀
⠀⣴⡽⣯⣉⡳⠀⠄⠌⣄⣒⣒⣒⣒⣒⣒⣒⣊⡭⠵⠖⠒⢪⣍⣙⣦⣤⡽⢧⠀
⣰⣟⡷⡆⠽⣃⢉⡐⣂⠄⣁⠐⠀⢂⢐⢀⠓⡐⢒⡚⣇⢉⣫⠡⠭⢲⡾⣛⣾⡆