⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣔⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢠⢤⢢⡢⣆⢖⢦⢲⡪⣎⢗⡝⡭⡫⣝⢭⢫⡫⣝⠂⠀⠀⠀⠀⠀⠀⠀⠀⢀⢴⡹⡜⡮⡢⠀⠀⠀⣠⡢⢦⣒⢖⡲⣒⢮⢪⡫⡝⡝⡵⡹⣜⢝⣜⢎⢯⠂⠀⠀⠀
⠑⢕⠧⠓⠑⠑⠃⠁⠀⠁⠀⡨⣸⡱⠕⡳⡕⡇⠑⠁⠀⠀⠀⠀⠀⠀⠀⡰⣸⠑⢨⡺⡪⡣⠀⠀⠀⠑⠭⠳⠘⠊⠊⠊⠀⠀⠀⢀⢤⢳⡹⠸⠱⡕⡍⠈⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡀⡤⡲⡹⣪⠒⢀⣀⣀⢠⢤⢤⠤⡤⣠⠀⠀⠀⠀⣜⠼⠈⠀⠀⠀⡜⡼⡑⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡰⣪⢳⢹⠂⣀⡀⡄⡤⣄⠦⡤⡤⢤⠀
⠀⠀⠀⣀⢤⢲⢕⡝⣎⢧⡣⡲⡭⣓⠎⠮⠚⢘⢜⣝⢜⡎⠀⠀⡠⡺⡘⠁⠀⠀⠀⢧⢳⡱⡀⠀⠀⠀⠀⠀⢀⢠⢔⡲⣹⢪⡫⣪⢲⢜⢮⠪⠎⠗⠑⡑⣝⡜⣎⠇⠀
⠀⠠⡺⡜⠎⠗⠕⢝⠘⠘⠈⠈⠀⠀⠀⡠⡰⡝⣎⢎⢇⠃⢀⢮⡪⠃⠀⠀⠀⠀⠠⣫⢺⠸⡪⠀⠀⠀⠀⠰⡣⠏⠞⠜⠊⠇⠋⠊⠀⠁⠀⠀⢀⢠⡪⡺⡜⡮⠪⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣖⠵⡝⢊⠎⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣕⣓⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⢎⢧⡋⠪⠃⠉⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣪⢺⢜⢝⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣔⠁⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⡜⡎⢗⢵⢁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡖⣝⠜⢑⠬⠪⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢰⢸⢕⠝⡈⠎⠇⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⡪⡪⠊⢀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣱⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⢸⠪⠊⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⢎⠇⠑⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢜⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡳⠁⠑⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠰⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠇⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀