⡛⣘⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢛⣋⡌⣥
⣇⢸⣿⣷⣦⣭⣙⠻⣿⣿⣿⣿⣿⣿⡿⢛⣩⣴⣾⣿⣿  ⣿
⣿⠸⣿⣿⣿⣿⠿⣃⣨⣭⣭⣥⣭⣭⣅⣛⠿⣿⣿⣿⣿⢸⣿
⣿⡄⣿⡿⢋⣴⣾⣿⣿⡿⠛⠛⠛⢿⣿⣿⣷⣦⡙⡿⠇⣸⣿
⣿⣷⣦⢠⣿⣿⣿⣿⣿⡀⠄  ⠠⢀⣿⣿⣿⣿⣿⡀⣾⣿⣿
⣿⣿⡇⢸⣿⡿⠋⢥⣶⣮⣄⣒⣨⣴⣶⡬⠙⣿⣿⡇⣿⣿⣿
⣿⣿⣷⡘⣿⢰⣇  ⢸⣿⣿⠿⣿⣿⡁  ⣿⢸⡿⢡⣿⣿⣿
⣿⣿⣿⡁⢬⣤⣶⣬⡻⠿⣗⣀⣹⣿⡿⢋⣤⠬⣀⣿⣿⣿⣿
⣿⣿⣿⣿⣷⠖⣠⣠⠍⣠⡰⣤⡐⠦⠨⡩⣴⣾⣿⣿⣿⣿⣿
⣿⣿⣿⡿⢣⣾⣿⣷⢂⣛⣓⣈⣛⣛⡅⢀⡜⢿⣿⣿⣿⣿⣿
⣿⣿⣿⡰⣿⣿⣿⡟⢸⣿⣿⣿⣿⣿⡇⠄⣿⠘⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣦⠌⣙⡃⣸⣿⠋⢹⣿⣿⣇⠂⣡⣾⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣌⡛⠻⠛⣃⣶⣬⣙⣛⣩⣴⣿⣿⣛⣛⣛⣛⣛

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

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

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

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

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