⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠶⠒⠚⠛⠓⢲⣶⡤
⠀⠀⠀⠀⢀⡴⠚⠁⠁⠁⠁⣁⠵⠛⠉⠁⠀⠀⠀⠀★
⠀⠀⢀⣴⠁⠁⠁⠁⠁⢁⡞⠁
⠀⢠⡞⠁⠁⠁⠁⠁⢁⠏⠀⠀
⢀⡾⠁⠁⠁⠁⠁⢁⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⢠⡿
⣼⠁⠁⠁⠁⠁⠁⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣶⡄⣰⣿
⣿⠁⠁⠁⠁⠁⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⠏
⣿⠁⠁⠁⠁⠁⠁⢻⡄⠀⠀⠀⣴⠿⢿⣆⠀⢀⣴⣿⣿⣿⣿⠃
⢻⠁⠁⠁⠁⠁⠁⠉⣷⡀⠀⠀⣿⠀⠾⠏⣴⣿⣿⣿⣿⣿⡟
⠈⢧⠁⠁⠁⠁⠁⠁⠉⠷⣄⠀⠹⡄⠀⠀⣿⣿⣿⣿⣿⣿⡇
⠀⠘⢆⠁⠁⠁⠁⠁⠁⠁⠉⠳⣄⠹⣦⡀⢿⣿⣿⣿⣿⣿⡇
⠀⠀⠈⢳⡁⠁⠁⠁⠁⠁⠁⠁⠉⠙⠶⡿⣿⣿⣿⣿⣿⣿⠷
⠀⠀⠀⠀⠉⠳⣅⠁⠁⠁⠁⠁⠁⠁⠁⠁⠁⠁⠁⣁⡥⠛⠁
⠀⠀⠀⠀⠀⠀⠀⠉⠓⠳⢧⣥⣥⣥⡥⠥⠵⠛⠋⠁⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣎⠱⣲⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠤⠒⠒⠒⠒⠤⢄⣈⠈⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⠝⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢄⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⢠⣢⠐⡄⠀⠉⠑⠒⠒⠒⣄
⠀⠀⠀⣀⠴⠋⠀⠀⠀⡎⢀⣘⠿⠀⠀⢠⣀⢄⡦⠀⣛⣐⢸⠀⠀⠀⠀⠀⠀⢘
⡠⠒⠉⠀⠀⠀⠀⠀⡰⢅⠣⠤⠘⠀⠀⠀⠀⠀⠀⢀⣀⣤⡋⠙⠢⢄⣀⣀⡠⠊
⢇⠀⠀⠀⠀⠀⢀⠜⠁⠀⠉⡕⠒⠒⠒⠒⠒⠛⠉⠹⡄⣀⠘⡄⠀⠀⠀⠀⠀⠀
⠀⠑⠂⠤⠔⠒⠁⠀⠀⡎⠱⡃⠀⠀⡄⠀⠄⠀⠀⠠⠟⠉⡷⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⠤⠤⠴⣄⡸⠤⣄⠴⠤⠴⠄⠼⠀⠀

⢦⠀ *
⠀⢇⠀⠀⠀⠀⠀ *⠀⠀⠀ *
⠀⢸⠞⢳⠀⢠⠋⡄⢱⠞⠉⢦⢱⠞⠉⢦⠹⡄⠀⢀⡞⠁
⠀⡾⠀⠀⡇⡏⠀⣿⠀⢸⠀⢠⠃⢸⠀⢠⠃⠀⠘⡶⠃⠀ *
⠀⠃⠀⠀⠁⠘⠊⠈⠀⡸⠚⠁⠀⡸⠚⠁⠀⠀⡴⠁
⠀⠀ *⠀⠀⠀⠀⠀⠀⠰⡇⠀⠀⠰⡇⠀⠀⢠⡋⠀ *
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀*
⠀⠀⠀⠀⠀⠀*⠀⠀⠀⢣⠀⡴⢦ ⠀ ⡠⠋⡼⠀⢆⠀⠀⡀⠀⠀⡴⠂ ⠀*
⠀⠀⠀*⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⡇ ⡏⠋⠁⠀ ⠘⡄⡎⡇⡔⠃
⠀⠀⠀⢀⠚⠉⢦⠀⠀ ⠸⠃⠀⠀⠅⠈⠒⠊⠀⠀⠛⠀ ⠘⠁⠀⠀*
⠀⠀⠀⡃⠀⠀⠀⠈⡀⠀⠀⠀*⠀⠀⠀⠀*
⠀⣐⠉⠑⠀⠀⠀⠀⡂⠀⠀⠀⠀⠀⠹⡄ ⢀⡞⠁⡠⠋⡼ ⢠⠋⡄⠈⡵⠀⢀⡤
⠀⢁⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠘⡶⠃⠀ ⡏⠋⠁⠀⡏⠀⣿⠀ ⠀⣝⠁
⠀⠀⠈⠂⠠⠠⠄⠊⠀⠀⠀*⠀⠀ ⡴⠁ ⠀⠀⠈⠒⠊⠀⠘⠊⠈ ⠀⢠⡃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀ ⢠⡋⠀⠀⠀*⠀⠀⠀⠀*

⢦⠀ *
⠀⢇⠀⠀⠀⠀⠀ *⠀⠀⠀ *
⠀⢸⠞⢳⠀⢠⠋⡄⢱⠞⠉⢦⢱⠞⠉⢦⠹⡄⠀⢀⡞⠁
⠀⡾⠀⠀⡇⡏⠀⣿⠀⢸⠀⢠⠃⢸⠀⢠⠃⠀⠘⡶⠃⠀ *
⠀⠃⠀⠀⠁⠘⠊⠈⠀⡸⠚⠁⠀⡸⠚⠁⠀⠀⡴⠁
⠀⠀ *⠀⠀⠀⠀⠀⠀⠰⡇⠀⠀⠰⡇⠀⠀⢠⡋⠀ *
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀*
⠀⠀⠀⠀⠀⠀*⠀⠀⠀⢣⠀⡴⢦ ⠀ ⡠⠋⡼⠀⢆⠀⠀⡀⠀⠀⡴⠂ ⠀*
⠀⠀⠀*⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⡇ ⡏⠋⠁⠀ ⠘⡄⡎⡇⡔⠃
⠀⠀⠀⢀⠚⠉⢦⠀⠀ ⠸⠃⠀⠀⠅⠈⠒⠊⠀⠀⠛⠀ ⠘⠁⠀⠀*
⠀⠀⠀⡃⠀⠀⠀⠈⡀⠀⠀⠀*⠀⠀⠀⠀*
⠀⣐⠉⠑⠀⠀⠀⠀⡂⠀⠀⠀⠀⠀⠹⡄ ⢀⡞⠁⡠⠋⡼ ⢠⠋⡄⠈⡵⠀⢀⡤
⠀⢁⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠘⡶⠃⠀ ⡏⠋⠁⠀⡏⠀⣿⠀ ⠀⣝⠁
⠀⠀⠈⠂⠠⠠⠄⠊⠀⠀⠀*⠀⠀ ⡴⠁ ⠀⠀⠈⠒⠊⠀⠘⠊⠈ ⠀⢠⡃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀ ⠀ ⢠⡋⠀⠀⠀*⠀⠀⠀⠀*

⠀⠀⠀⠀⠀⠀⠀⣠⡤⠶⠒⠒⠒⠒⠲⠶⣤⡴⠚⠛⠶⣄
⠀⠀⠀⣀⣀⢀⡴⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠛⢠⡖⠲⡀⢹⠀
⠀⢠⡞⠁⣠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠀⣸⠃
⠀⠸⣆⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⣿
⠀⠀⠙⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⠀⡇⠀⢀⣀⠀⠀⢀⡀⠀⠸⣿⣷⠀⠀⠀⠀⠀⠀⠀⢸⠇
⠀⠀⠀⣿⠀⠐⢛⠓⢠⣸⣆⡤⠀⠈⡅⠀⠈⠢⠀⢀⠀⠀⣾
⠀⠀⠀⣷⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠣⠀⡀⠄⣸⡉⠳⡚⣧
⠀⠀⠀⠈⠳⣦⠾⢛⢦⡀⠀⠀⠀⠀⠀⠀⢠⡞⠉⠀⠀⢸⡏
⠀⠀⠀⠀⠀⡏⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⢀⡼⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀
⠀⠀⠀⠀⢸⣧⠐⣴⠃⠹⡄⠀⠀⠀⠘⢿⣿⠇
⠀⠀⠀⠀⣰⡇⠀⣼⠀⠀⡇⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢰⡀
⠀⠀⠀⠀⡇⢹⠀⡟⡇⠀⡇⠀⣀⡀⠀⡔⠒⣄⢸⡇⠘⣆⢸⠇
⠀⠀⠀⠀⢧⢸⠀⠧⠇⠀⡇⠀⢇⢸⠀⣇⠀⢸⡼⠳⠴⠋⠁
⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠙⠂⠘⠻⠄⠋⠓⠊⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⢀⣾⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢧⡀
⠀⠀⠀⠀⠀⢀⣾⠃⢘⣷⣀⣀⣤⣤⣤⣄⣀⢸⡏⠈⢷⡀
⠀⠀⠀⠀⠀⣼⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣬⣷
⠀⠀⠀⠀⢰⣿⣿⣿⣿⠁⠸⠗⢹⣿⡟⠰⠷⠈⢻⣿⣿⣿⡇
⠀⠀⢐⣒⣺⣿⣿⣿⣿⣀⠀⣀⣼⠛⢷⣄⠀⢀⣼⣿⣿⣿⣿⣉⡁
⠀⠀⠀⠤⢺⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⠢