⠄⠄⠄⠄⠄⠄⢀⠠⣐⡴⣴⡴⣵⢾⢾⢾⢾⣞⢞⢞⣚⢞⢬⢰⠠
⠄⠄⡀⠠⣀⣬⡾⡋⠉⡉⢹⣽⢯⣟⣟⡿⣽⢾⣻⢾⣜⡘⠎⠇
⠄⡱⢶⡯⣷⣗⣯⢛⣿⣿⣿⣿⣿⣽⣗⡿⡯⠿⢽⣻⣞⡿⣦⡡⠄
⡀⣶⣻⡽⣗⣿⠞⣈⡋⡉⢿⣿⡿⣹⣿⣽⣤⣐⠄⠱⣯⢿⣽⣻⢌⠄
⢮⢷⣻⡽⢋⢤⢞⡵⣜⢞⠆⣠⣾⣿⣿⣺⣗⢯⡷⣄⣿⣻⢾⣽⡺⡌⠄
⢮⡚⡎⢡⣞⢵⡫⣞⢎⣗⡅⣿⣻⣟⣾⣳⢷⡯⣾⢽⢾⣽⣻⣺⢧⢻⡌
⡈⠎⢠⡳⡱⢳⡹⣜⠵⡱⡅⢺⣺⣗⣿⣺⡯⣿⢽⡯⣿⣺⣗⣯⢳⡱⡵
⠄⠄⡎⣂⠪⡐⢕⢐⢅⢃⠫⡄⢳⢝⢾⣳⢿⢽⢯⣟⣷⢻⣞⡧⡳⡕⢝⢆
⠄⠄⡇⡢⢣⠱⡡⢣⠪⡸⡨⠲⡈⡏⣞⢼⢝⡯⣻⣺⢳⡳⡵⣝⢵⠡⢣⢣
⠄⠄⢱⢘⢌⢎⢎⢎⢎⢎⢜⢌⢆⠘⡼⡕⡯⡺⣕⢗⣝⢞⢮⣪⠇⢕⠡⣫
⣈⣐⠈⣎⢪⢪⣪⡺⣜⣮⡧⡣⡓⠄⢎⠊⡋⠺⡪⣳⡱⡝⣮⠋⢈⠢⠣⡻
⣿⣿⣷⡌⠪⣪⢲⢵⡹⣪⣺⠘⢁⢨⣴⣿⣿⣶⣌⠐⣀⠑⠁⠄⠄⠈⠐

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡶⢶⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣶⠿⠿⣦⣄⠀⠈⠙⣷⡀⢀⣤⡶⠾⠿⢶⣦⡀⠀
⠀⠀⢀⣠⣤⣤⣄⡀⢠⠏⢹⡏⠀⠀⠈⢻⣧⠀⠀⢸⣷⡿⠁⠀⠀⠀⠀⠀⠈⢿⡄
⠀⣰⠟⠉⠀⠉⠙⢿⣏⠀⢿⠀⠀⠀⠀⠀⢻⣇⠀⠀⠘⡿⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇
⢰⠇⠀⠀⠀⠀⠀⠀⠉⠀⢸⡆⠀⠀⠀⠀⠸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃
⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠋⠀
⠈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⡄⠀⢀⡎⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠀⠀⠀
⠀⠈⠻⣷⣤⣀⠀⠀⠀⠀⠀⠀⠈⢻⣦⡞⠀⠀⠀⠀⠀⢀⣴⡾⠋⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠙⠻⢿⣶⣄⡀⠀⠀⠀⢀⠟⢷⣄⠀⠀⣠⡟⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣶⣄⠀⡜⠀⠀⠉⠃⣼⠋⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡿⠀⠀⠀⠀⠀⣸⡇

⠀⠀⠀⣀⡠⡔⠎⠓⢤⡄⡀⠀⠀⢀⣠⠔⠎⠱⢢⢄⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⣠⠴⠋⣡⠴⠛⠉⠙⠶⣌⡳⡆⢰⣚⡴⠞⠉⡉⠓⠮⣌⠓⠦⡄⠀⠀⠀
⠀⣠⠞⡁⠒⠉⠄⠂⢄⡡⣌⢠⠈⡙⢽⠷⠉⢁⡄⣡⡄⣁⠂⠌⠙⢂⠉⢷⣀⠀
⢰⠁⢂⠐⡈⠐⣈⡴⠋⠉⠈⠉⢳⡀⢸⡇⢨⠞⠉⠁⠈⠓⢬⡀⢁⠂⠌⡀⢉⠆
⢸⡈⢄⠂⠄⠡⣾⠁⠀⠀⠀⠀⠀⠑⠾⠳⠎⠀⠀⠀⠀⠀⠈⡷⠀⠌⡐⢠⠃⠆
⢸⢌⠢⣁⠊⠄⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠿⠀⢒⠈⢆⡌⠃
⢸⡌⠲⢄⠣⡈⠌⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠃⡈⢆⠩⢆⡜⡁
⢸⡜⡱⢊⠴⡁⢆⠠⢉⠳⢤⡀⠀⠀⠀⠀⠀⠀⣀⠴⢊⠡⠀⢆⠱⣈⠇⡎⡴⡁
⢸⡜⡳⣭⢖⣡⢎⣐⣂⣄⠂⡉⠱⢦⣀⣀⡶⠋⢁⠂⣄⣂⣍⢦⡱⣬⢞⡼⣱⠁
⢸⣼⠋⠁⠀⠀⠀⠀⠉⠈⠛⠳⢆⣄⡻⣞⢠⡴⠞⠛⠉⠉⠀⠀⠀⠀⠉⠳⣇⡃