⠀⢀⡤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⢠⡏⠀⠀⠳⡄⠀⠀⠀⠀⠀   ⣀⣀⣀⠀⠀⠀
⢸⠃⠀⠀⠀⢿⠀⠀⠀⠀  ⣼⠃⠀⠘⢧⠀⠀
⢸⡆⠀⠀⠀⠸⡆⠀⠀   ⣸⠃⠀⠀⠀⠈⢧⠀
⠈⣇⠀⠀⠀   ⣧⠀   ⠀⡏⠀⢦⠀⠀⠀⠸⡆
⠀⢹⡀⠀⠀⠀⢸⠀     ⢸⠇⠀⠘⢧⡀⠀⣸⠃
⠀⠀⢳⠀⠀⠀⢸⡆     ⢸⠀⠀⠀⣼⠙⠋⠁

⠀⢀⣴⣦⣄⠴⠲⣄⣀⡀⠀⣀⣠⣤⡀⠀⠀⠀⠀⠀
⠀⡼⠛⠿⠛⢔⡄⠘⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⠀⢧⠘⢐⣤⣼⣤⣼⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀
⠠⣿⣿⡿⠿⠛⠛⠛⠛⠛⠿⢿⣿⣿⣿⠀⠀⠀⠀⠀
⠠⢿⣿⣦⣿⠀⠀⢀⠀⠀⠀⣶⣸⣿⣿⠙⠀⠀⢀⡄
⠐⠚⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡷⠶⠖⠚⠉
⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⡿⡏⠈⠋⡇⠀⠀⠀⠀⠀
⠀⢀⣠⣼⡉⠀⢨⠿⠟⠻⣷⣜⡦⠔⠁⠀⠀⠀⠀⠀
⠘⣿⡿⢻⢉⡐⠾⠀⠀⠀⠈⢛⣟⠆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠸⠀⠀⠀⡜⠹⠉⠉⠀⢸⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⠀⠉⠀⠀⠁⠒⠐⠋⠀

⠠⣶⣿⣿⣷⡶⠀⠀⠀⣀⡴⣖⡦⡀⢀⣤⢤⡤⣀⠀
⠀⠈⣿⣿⣿⠀⠀⠀⢰⢯⡽⣞⣵⡳⣟⢮⡗⣯⡽⡀
⠀⠀⣿⣿⣿⠀⠀⠀⠸⣏⣾⢳⡞⣽⢞⡯⣞⣳⣽⠁
⠀⢀⣿⣿⣿⠀⠀⠀⠀⠈⢺⡳⣏⣟⢾⣹⣳⡝⠂⠀
⠀⠻⠿⠿⠿⠗⠀⠀⠀⠀⠀⠈⠙⢮⠯⠃⠉⠀⠀⠀
⠀⠀⠀⢀⡄⣄⡀⢀⣀⣀⡜⠓⣄⠤⢤⣀⠀⠀⠀⠀
⠀⠀⠀⣾⠀⠀⠉⠉⠉⠩⣉⣀⣼⡒⠊⠁⡃⠀⠀⠀
⠀⠀⠀⡝⠀⠀⠀⠀⠀⠐⠍⠵⢫⣧⡰⡔⠀⠀⠀⠀
⠀⠀⣸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢁⣼⠤⠄⠀⠀
⠀⠀⠨⣧⠀⠘⠃⠀⠀⡤⠄⠀⠙⠁⠀⣚⠒⠀⠀⠀
⠀⠀⠠⠚⠹⢤⣀⣀⠀⠀⢀⣀⡤⠜⠉⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠁⠀⠀⠀⠀

⠀⠈⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠁⡨⠀
⠀⠀⠈⠀⠀⠁⠒⠠⢀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠐⠈⠀⠀⢰⠀⠀
⠀⠀⠀⠇⠀⠀⠀⠀⠀⣈⣲⣤⣦⣧⣦⣴⠁⠀⠀⠀⠀⠀⠈⠀⠀
⠀⠀⠀⢀⠀⠀⠀⢠⣴⣿⡿⠏⠿⠿⠿⢿⢻⣧⣄⠀⠀⠀⡆⠀⠀
⠀⠀⠀⠘⠀⡀⠀⠰⠟⠁⠀⡴⢿⣿⢷⠀⠀⠙⠷⠀⢠⠐⠀⠀⠀
⠀⠀⠀⠀⠀⠁⠀⠀⠀⣀⣀⡑⠺⠿⢊⣀⣀⠀⠀⠀⠀⡄⠀⠀⠀
⠀⠀⠀⠀⠀⡀⠀⢀⣮⠙⢻⣿⣿⣾⣿⡟⠋⢷⡄⠀⠀⠃⠀⠀⠀
⠀⠀⠀⠀⠀⠑⢀⣸⣿⣤⣾⣿⣏⣽⣿⣷⣤⣾⣇⣀⠈⠀

⢰⠋⠉⠒⢄  ⣠⠤⠔⢒⠎    ⠈⠳⣤⢤⡀
 ⡏      ⠔⠉            ⢄    ⠘⢦⠈⠑⢤⡀  ⢀⣤⣤⡀
 ⢸⢠⢆                    ⠈⡆    ⢈⠆    ⠙⢔⠋⢀⡼⠃
 ⠸⢨⠊                    ⠈⠃              ⠈⢯⠁
 ⡰⠁                                          ⠈⡆
⣰⠁⢀⣀                                          ⣷
⡇⣂⢸⣿⠂⠠⣀⡠  ⢰⣿⣷  ⣀                      ⡏
⢳⡀                ⠉⠁⠐⠄                  ⢀⡜⠁
 ⠙⢤⡀                                  ⣀⡴⠋
     ⠉⠉⠒⠒⠦⠤⠤⣤⣤⣤⣤⣤⠤⠤⠶⠒⠚⠉

⊹⠀⠀⠀⠀⠀⢠⢄⡠⡄
⠀⠀⠀⠀⠀⢰⠃⠀⠀⠈⡆⠀ ⁺
⠀⡤⠔⠒⠢⢼⡀⢀⡀⢀⡧⠔⠒⠢⢤
⡂ ⠀⠀⠀⠀⠑⣘⣁⠊⣀⠀⠀⠀⠘⡄
⠀⠑⠤⣀⣀⡠⠭⡧⡼⠩⠅⣀⣀⠤⠊
⠀⠀ ⡔⠁⢀⠞⢀⡇⠓⢀⠈⠳⡀
⁺ ⠀ ⢰⡁⠀⠀ ⡸⢣⠀⠀ ⠀⠀⡇
⠀⠀⠀⠉⠧⠔⠊⠀⠀⠙⠲⠴⠉⠁ ⊹