⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀.⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠁⠄⠄⠈⠙⠻⣿⣿⣿⣿⠀.⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀.⠀⠀⣿⣿⣿⣿⣿⣿⠟⠁⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠄⠙⢿⣿⠀.⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀.⠀⠀⣿⣿⣿⣿⡿⠃⠄⠄⠄⢀⣀⣀⡀⠄⠄⠄⠄⠄⠄⠄⠈⢿⠀.⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀.⠀⠀⣿⣿⣿⡟⠄⠄⠄⠄⠐⢻⣿⣿⣿⣷⡄⠄⠄⠄⠄⠄⠄⠈⠀.⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀.⠀⠀⣿⣿⣿⠃⠄⠄⠄⢀⠴⠛⠙⣿⣿⡿⣿⣦⠄⠄⠄⠄⠄⠄⠀.⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀1⠀⠀⣿⣿⠃⠄⢠⡖⠉⠄⠄⠄⣠⣿⡏⠄⢹⣿⠄⠄⠄⠄⠄⢠⠀1⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀9⠀⠀⣿⠃⠄⠄⢸⣧⣤⣤⣤⢾⣿⣿⡇⠄⠈⢻⡆⠄⠄⠄⠄⣾⠀9⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀9⠀⠀⠁⠄⠄⠄⠈⠉⠛⢿⡟⠉⠉⣿⣷⣀⠄⠄⣿⡆⠄⠄⢠⣿⠀9⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀9⠀⠀⠄⠄⠄⠄⠄⠄⢠⡿⠿⢿⣷⣿⣿⣿⣿⣿⠿⠃⠄⠄⣸⣿⠀9⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀.⠀⠀⠄⠄⠄⠄⠄⢀⡞⠄⠄⠄⠈⣿⣿⣿⡟⠁⠄⠄⠄⠄⣿⣿⠀⠀.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀.⠀⠀⠄⠄⠄⠄⠄⢸⠄⠄⠄⠄⢀⣿⣿⡟⠄⠄⠄⠄⠄⢠⣿⣿⠀⠀.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀.⠀⠀⠄⠄⠄⠄⠄⠘⠄⠄⠄⢀⡼⠛⠉⠄⠄⠄⠄⠄⠄⣼⣿⣿⠀⠀.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀.⠀⠀⠄⠄⠄⠄⠄⡇⠄⠄⢀⠎⠄⠄⠄⠄⠒⠠⠀⠀⠀⠀⠙⢿⠀⠀.
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀.⠀⠀⠄⠄⠄⠄⢰⠃⠄⢀⠎⠄⠄⠄⠀⠀⠀⠀⢸⢻⢻⢻⠀⠀⠀⠀.

ℑ 𝔟𝔢𝔩𝔦𝔢𝔳𝔢 𝔱𝔥𝔢𝔯𝔢 𝔦𝔰 𝔤𝔬𝔬𝔡 𝔞𝔫𝔡 𝔟𝔞𝔡. 𝔱𝔥𝔞𝔱 𝔢𝔳𝔢𝔯𝔶𝔟𝔬𝔡𝔶 𝔥𝔞𝔰 𝔱𝔥𝔢𝔦𝔯 𝔡𝔢𝔪𝔬𝔫𝔰 𝔞𝔫𝔡 𝔞𝔫𝔤𝔢𝔩𝔰. ℑ 𝔟𝔢𝔩𝔦𝔢𝔳𝔢 𝔱𝔥𝔞𝔱 𝔭𝔞𝔦𝔫 𝔦𝔰 𝔱𝔥𝔢 𝔣𝔲𝔢𝔩 𝔬𝔣 𝔪𝔶 𝔰𝔱𝔯𝔢𝔫𝔤𝔱𝔥 𝔞𝔫𝔡 ℑ 𝔰𝔥𝔬𝔲𝔩𝔡 𝔭𝔯𝔬𝔱𝔢𝔠𝔱 𝔱𝔥𝔢 𝔭𝔢𝔬𝔭𝔩𝔢 ℑ 𝔩𝔬𝔳𝔢 𝔲𝔫𝔱𝔦𝔩 𝔪𝔶 𝔥𝔢𝔞𝔯𝔱 𝔰𝔱𝔬𝔭𝔰. 𝔄𝔩𝔩 𝔱𝔥𝔢 𝔟𝔞𝔡 𝔱𝔥𝔦𝔫𝔤𝔰 ℑ 𝔴𝔢𝔫𝔱 𝔱𝔯𝔬𝔲𝔤𝔥 𝔞𝔯𝔢 𝔧𝔲𝔰𝔱 𝔪𝔞𝔯𝔨𝔰 𝔦𝔫 𝔱𝔥𝔢 𝔟𝔬𝔡𝔶 𝔬𝔣 𝔱𝔥𝔢 𝔪𝔞𝔫 ℑ'𝔩𝔩 𝔟𝔢𝔠𝔬𝔪𝔢. ℑ𝔫 𝔱𝔥𝔢 𝔢𝔫𝔡 𝔴𝔦𝔩𝔩 𝔟𝔢 𝔧𝔲𝔰𝔱 𝔪𝔢. ℑ 𝔰𝔥𝔬𝔲𝔩𝔡 𝔫𝔬𝔱 𝔟𝔢 𝔞𝔣𝔯𝔞𝔦𝔡 𝔞𝔫𝔡 ℑ 𝔰𝔥𝔬𝔲𝔩𝔡 𝔢𝔪𝔟𝔯𝔞𝔠𝔢 𝔭𝔞𝔦𝔫. 𝔄𝔩𝔩 𝔪𝔶 𝔩𝔦𝔣𝔢 ℑ 𝔥𝔞𝔳𝔢 𝔟𝔢𝔢𝔫 𝔞𝔩𝔬𝔫𝔢, 𝔭𝔢𝔬𝔭𝔩𝔢 𝔠𝔬𝔪𝔢 𝔞𝔫𝔡 𝔤𝔬 𝔩𝔦𝔨𝔢 𝔞𝔫 𝔬𝔠𝔢𝔞𝔫 𝔬𝔣 𝔣𝔞𝔩𝔰𝔢 𝔭𝔯𝔬𝔪𝔦𝔰𝔢𝔰. 𝔄𝔩𝔬𝔫𝔢 ℑ 𝔤𝔬𝔱 𝔰𝔱𝔯𝔬𝔫𝔤. 𝔄𝔩𝔬𝔫𝔢 ℑ 𝔬𝔳𝔢𝔯𝔠𝔬𝔪𝔢 𝔞𝔫𝔡 𝔞𝔩𝔬𝔫𝔢 ℑ 𝔴𝔦𝔩𝔩 𝔪𝔞𝔨𝔢 𝔰𝔲𝔯𝔢 𝔱𝔥𝔢 𝔭𝔢𝔬𝔭𝔩𝔢 ℑ 𝔩𝔬𝔳𝔢 𝔡𝔬𝔫'𝔱 𝔤𝔬 𝔱𝔯𝔬𝔲𝔤𝔥 𝔱𝔥𝔢 𝔳𝔞𝔩𝔩𝔢𝔶 𝔬𝔣 𝔭𝔞𝔦𝔫 𝔴𝔢𝔯𝔢 ℑ 𝔰𝔱𝔞𝔶𝔢𝔡 𝔣𝔬𝔯 𝔡𝔢𝔠𝔞𝔡𝔢𝔰. 𝔗𝔥𝔢 𝔡𝔢𝔳𝔦𝔩 𝔱𝔯𝔶 𝔱𝔬 𝔡𝔢𝔰𝔱𝔯𝔬𝔶 𝔪𝔶 𝔥𝔢𝔞𝔯𝔱 𝔟𝔲𝔱 𝔪𝔶 𝔤𝔬𝔡 𝔤𝔞𝔳𝔢 𝔪𝔢 𝔱𝔥𝔢 𝔭𝔬𝔴𝔢𝔯 𝔱𝔬 𝔠𝔥𝔬𝔬𝔰𝔢 𝔟𝔢𝔱𝔴𝔢𝔢𝔫 𝔤𝔦𝔳𝔦𝔫𝔤 𝔲𝔭 𝔬𝔯 𝔨𝔢𝔢𝔭𝔦𝔫𝔤 𝔲𝔭 𝔞𝔫𝔡 𝔫𝔬𝔴 𝔫𝔬𝔱𝔥𝔦𝔫𝔤 𝔴𝔦𝔩𝔩 𝔰𝔱𝔬𝔭 𝔪𝔢.