⡿⣽⢯⣟⣯⣟⣯⣟⣯⣟⣯⡿⣯⣟⣯⡿⣯⣟⣯⡿⣯⣟⣯⣿⣻
⡿⣽⢯⣟⣾⡽⣾⡽⣾⠽⠊⠉⠁⠙⠓⢿⣳⣯⢷⣟⡷⣯⣷⣻⢾
⡿⣽⢯⡷⣷⣻⣗⡿⠁⢀⣄⣦⣶⣔⣄⠀⠹⣞⣯⡷⣟⣟⣾⢽⣻
⡿⡽⣯⢯⣷⣻⣞⠇⢠⣿⣽⣿⣯⣿⣽⣳⠀⢽⣞⣯⢿⡽⣞⡿⣽
⡿⣽⢽⣻⣺⢾⣺⠅⠼⡯⡮⡟⣟⣞⣲⣳⡁⣸⣗⣯⢿⡽⡯⡿⣽
⣯⢯⡯⡷⡯⣯⢯⣷⣹⢿⣿⢿⡿⡾⣿⣳⢥⢳⣻⣞⡯⡿⣽⣻⡽
⡯⣯⢯⢿⢽⡽⣽⣺⣞⣯⡿⣟⣗⣟⣯⢷⣳⣻⣳⣗⡿⣽⣳⢯⣟
⡯⣷⣻⢽⢯⢯⣗⣷⣳⢽⠽⣿⣾⢾⡫⣣⢷⣻⣺⣞⣽⣳⢯⣟⡾
⡯⣗⡯⣯⢯⣟⣞⣞⣞⠷⣝⡶⡼⣔⢼⡪⢟⣵⣗⣷⣳⢯⢷⣳⣟
⡯⣗⡯⡯⣗⡷⡳⠋⠂⠌⠯⣿⢽⡽⡽⡀⠈⠑⠓⠳⡽⣽⢽⣞⡾
⡯⣗⠯⠋⠁⠁⠀⠀⠀⠁⠀⠙⠽⠫⠁⠂⠀⠀⠀⠀⠀⠈⠑⠳⣻
⡟⠀⠀⠀⠀⠀⠀⠀⠀⢋⠀⠀⢀⠀⠘⠂⠀⠀⠀⠀⠀⠀⠀⠀⢱
⠃⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⠐⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⢀⠀⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠪⠀⠀⢐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀