⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠹⠿⣿⣿⢈⣐⣦⡤⠤⠂⣯⣸⣉⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠈⠁⠀⠉⡟⠤⠀⠀⠠⠴⠀⠀⠀⠀⠓⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⢄⠀⢰⡇⠀⠈⠈⠀⠀⠑⡄⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⡄⠀⠀⠀⠀⠰
⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⡢⠜⠃⠐⠒⠒⠒⠒⠀⠉⢛⡄⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⡃⠀⠀⠀⠀⠀
⠅⡖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⡇⢐⡠⠤⠤⢄⠤⠤⠌⠀⠀⠨⢆⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠇⠀⠀⠀⠀⡀
⠂⡁⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡆⠀⡟⠀⠀⠀⠀⠀⠑⡀⠀⠀⠀⠀⠀⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠃⠀⠀⠀⠀⣸
⠂⡅⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢇⠀⠴⠁⠀⠀⠀⠀⠀⠀⠰⣢⢄⠀⠈⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀⠀⡄⠃⠀⠀⢂⠁⡖
⠅⠴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⢠⠀⠀⠀⠈⡄⣦⡄⠀⢹⠘⡀⠀⠀⠀⢗⢹⣇⠀⠀⠀⠀⠀⠀⡈⠅⡀⢃⠔⡂⡕
⢁⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠸⣇⠀⠀⠀⠛⠿⠇⠀⢸⠀⢡⠀⠀⠀⠈⢹⣿⠀⠀⠀⠀⠀⠀⡄⡃⠰⡁⢎⡐⡇
⠄⡈⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢹⣧⡀⠀⠀⠀⠀⠀⣼⠀⠸⣁⣀⣀⠤⡿⠁⠀⠀⠀⠀⠀⡀⢄⡁⢇⡸⢠⡈⡇
⢸⠀⢎⠡⠐⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⡆⠀⠑⢮⣟⣉⣶⣾⣿⣷⣝⠒⠄⠑⠛⣹⠀⠀⠀⢀⠀⢂⠡⠀⡇⡖⢌⠲⣡⢍⡇
⢦⢉⠆⣑⠢⢐⠠⠂⠄⠠⢀⠀⠀⠀⠀⢀⣴⠞⠁⢡⡀⠀⠀⠈⢻⠚⠛⠁⠈⠿⠯⢞⣶⣤⠟⠀⠠⢈⠄⡈⢆⡑⠂⡧⣏⣌⢳⡱⢎⣯
⢎⡜⠬⣄⠓⡌⠢⠑⡌⡐⢠⠈⠀⠄⣠⣿⠟⣦⣄⡀⢳⡀⠀⠀⠀⠷⠀⠀⠀⣀⣠⡼⠿⡽⢷⠠⡑⢢⠘⡐⠦⣘⡁⡷⣇⡎⢧⡹⣏⡷
⡞⣰⠢⡄⢦⠐⢢⠆⣠⠃⡄⢂⠔⣠⢿⣟⠶⢿⣛⣓⣚⢧⡀⠀⠀⢰⣦⣶⠶⡛⢃⠀⣠⡴⡾⢦⠰⣀⠖⡰⢢⢄⡃⡧⣿⡰⣆⡷⡼⣷
⡽⢦⣛⡜⢦⡋⢖⡸⢄⡓⣌⣆⠞⠁⠀⠈⠉⠒⠺⠽⢶⣾⣷⡄⠀⠘⣿⣾⣷⣼⣶⠿⠿⠋⠀⠈⢳⣜⡼⣑⢏⠮⡅⡗⣿⣵⢫⡾⣽⣷