⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⢎⣮⡗⣢⣢⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⠃⢑⠹⡱⣣⡳⣿⢶⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡳⠈⡠⡂⢎⢢⢫⢿⣯⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠃⠔⡆⢎⢪⣢⠣⢱⡻⡄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡠⠂⡁⡅⡕⠔⡡⣣⣿⡃⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⡂⠕⡪⢢⢑⣼⣳⡿⠅⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⠀⡦⢑⠠⢈⡼⡺⣓⡷⣯⡷⡤⡀⠀⠀⠀⠀⠀
⠀⠀⢠⢎⣆⠏⢎⢂⠪⣘⣩⣹⡾⣻⣽⢯⢿⣽⢢⠀⠀⠀⠀
⢠⢊⣞⡷⣇⢊⢂⡇⡲⣜⡚⡣⠭⣻⣺⣟⣿⣺⢯⡶⡄⠀⠀
⠨⠳⢟⣿⣀⠐⠟⠖⢕⢆⢵⢼⢽⣺⣳⣻⣾⢽⣳⡯⣯⢧⡀
⠀⠹⡛⡝⠽⠨⠨⡘⠔⡕⣯⢻⡽⣗⣯⢿⡾⠙⣯⣯⡷⡯⣗
⠀⠀⠈⠹⣝⠨⡨⡐⢭⣳⣽⡳⢟⡽⣞⣿⡶⣿⣳⢷⣻⠙⠀
⠀⠀⠀⠀⠀⢕⢮⢞⣯⢷⣳⣞⣯⢯⡓⣟⣯⡿⠺⠋⠀⠀⠀
⠀⠀⠀⠀⡰⣩⣳⣻⣺⢿⣽⢾⣷⣵⣪⣟⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡪⡕⡳⡻⣾⢿⣾⣻⣷⣯⢷⡿⡅⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡪⣺⡺⣿⣿⣿⣟⣿⣽⣾⣟⣯⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠨⣪⢂⡿⡽⣵⣿⣻⣟⣿⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⡨⡾⣾⣯⣭⣯⣧⣿⣿⣿⡿⣿⣽⠀⠀