⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⣶⣿⡿⡹⣿⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⢿⢙⢿⣿⣹⣿⣻⡽⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⣿⣿⢟⡿⢿⠿⣝⣿⣞⣽⣿⣿⣿⣿⣧⡂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡄⠄⠁⢀⢖⣟⣺⡿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣼⣿⣿⢿⣿⣿⣿⢧⡠⠬⡈⠂⣤⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠄⠀⢠⠤⠒⢈⣟⡿⣿⠿⢿⠟⣓⣻⢟⡛⠿⣿⡿⣻⣟⢪⠟⣿⣿⣿⣿⣷⡀⠈⡆⠀⡈⠢⠀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠔⢁⠐⠁⢺⡤⣌⣸⣿⡹⢻⡀⢀⣼⡪⡔⣻⢸⣿⡗⣻⢮⡹⠝⣭⡽⣿⣟⣿⣯⢷⠎⠉⠐⣄⠈⠀⠈⢢⡀⠀⠀⠀ ⠀⢀⡲⠁⡠⢁⠄⡔⣁⠘⢿⣯⢞⣛⣟⢫⠆⠌⠽⠞⠳⣕⡳⢒⠭⢖⠹⣽⢣⢺⡟⢿⣿⣿⡟⢣⣴⢤⡺⠀⠈⠀⠆⢂⠀⠀⠀ ⠀⠰⠀⡀⠀⠀⠈⢷⣽⣷⡼⢎⣾⡛⣯⠣⡀⠈⠀⠀⡆⠚⣕⢍⠦⡭⣘⡘⣣⡟⣎⡞⣿⣿⣿⣿⡰⣭⠑⡄⠀⠀⠠⢀⣊⠀⠀ ⠤⠉⠠⠀⠀⠀⠀⣴⣹⣝⡯⢟⣯⢿⠏⠘⠀⢂⠀⢀⠊⡕⡹⣍⣷⣞⣫⢎⠼⢲⣘⠬⣾⣿⣗⣿⣾⣛⡾⠃⠀⠀⠀⠂⠐⠨⠀ ⢐⠀⠀⠀⠀⠀⠀⠹⡿⣿⣧⣾⢿⣈⡐⡠⠂⢈⠀⣌⢲⣇⣷⡟⠝⣯⢯⢸⡀⡬⠙⢠⠫⣿⣛⣿⣭⣻⢁⠀⠀⠀⠀⠀⡀⠀⡀ ⠀⠠⠀⠀⠀⠀⠀⠀⠈⢹⢮⣷⣟⠏⠁⡄⠀⢠⡉⡹⠧⠿⣦⣸⣿⡵⣻⣚⡍⡒⠨⠘⣟⣿⡯⣷⣾⠟⠀⠀⠀⠀⠀⠀⡀⠀⠇ ⠔⠀⠀⠀⠀⠀⠀⠂⠀⠈⠳⣿⣯⣽⢤⣄⡀⠀⠑⠓⠳⠟⣗⢻⠩⠻⠴⣖⠘⣂⣠⣔⢾⣟⣾⠋⠁⠀⠀⠀⠀⠀⡀⢘⠀⢰⠀ ⠀⠐⠄⠀⠈⠀⠀⡃⠀⠀⠀⢈⢺⣞⡿⡹⠭⢕⡯⣵⢢⠮⠄⢆⣒⣶⢔⠫⣟⣻⠽⢗⡻⣫⠏⠁⠀⠀⠀⠀⠀⠘⢠⢃⠠⠋⠀ ⠀⠐⡀⠄⠀⠀⠀⠀⠈⠀⠀⠀⠀⠙⠻⢾⢾⣁⡬⢛⠚⠬⢽⣒⠯⢑⡓⢓⣝⣤⣶⡶⠋⠀⠀⠀⠀⠀⠀⢀⠈⡄⠠⣠⠋⠀⠀ ⠀⠀⠁⠈⠂⠊⠠⠀⠀⠀⠀⠀⠀⠀⠀⠂⠉⠓⠚⠿⠷⣞⣺⡂⠿⠧⠞⠧⠚⠉⠁⠀⠀⠀⠀⠀⠀⡠⠀⠤⠊⠀⡠⠂⠀⠀⠀ ⠀⠀⠀⠀⠑⠄⡐⠈⠀⢄⢀⠀⠀⠀⠀⠈⠂⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠐⡨⠐⠉⢠⡠⠋⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠐⠄⡁⠀⠀⠁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠂⠁⢀⡤⠓⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠀⠤⢄⠀⠀⠀⠀⠀⠐⠠⠀⠀⠀⠀⠀⠀⠀⢀⠁⢀⣀⡠⠦⠚⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠘⠠⠤⢀⣀⣀⣀⣀⡀⠤⠄⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀