⢸
⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣶⣄
⢿⣿⣄⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣄
⠀⠹⣿⣧⣀⣠⣴⣾⣷⣿⣷⠾⢷⠋⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡷
⠀⠀⠈⢿⡿⠟⢻⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡟
⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡟⢿⣿⣄⠀⠀⠀⠀⢠⣶⣾⣿⡇
⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀⠙⠿⡿⢆⣴⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⠀⠀⣤⣶⣾⣿⣿⣿⣿⣷⠹⣷⣤⣤⣄⣀⡀
⠀⠀⠀⠀⠀⢸⣿⣿⡏⣿⣿⣿⢀⣾⣿⣿⣿⣿⣏⠀⠀⢀⣀⣈⣉⣉⣉⣙⣁⣀
⠀⠀⠀⠀⠀⢸⣿⣿⡇⣿⣿⢏⣾⣿⣿⣿⣿⣿⣿⣆
⠀⠀⠀⠀⠀⢸⣿⣿⡇⣿⣿⣷⠈⠉⠙⠛⢻⣭⣷
⠀⠀⠀⠀⠀⢸⣿⣿⡇⣿⣿⣿⠀⠀⠀⠀⠀⢹⣿⣷
⠀⠀⠀⠀⠀⢸⣿⣿⡇⣿⣿⣿⠀⠀⠀⠀⠀⣾⣿⡏
⠀⠀⠀⠀⠀⢸⣿⣿⡇⣿⣿⣿⠀⠀⠀⠀⢰⣿⣿
⠀⠀⠀⠀⠀⠘⢿⡿⠇⠻⣿⠟⠀⠀⠀⠀⢿⣿⠇\

⠀⠀⠀⠀⠀⢀⣀⣀⠾⡎⣿⣦⣠⡾⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠸⡏⣟⡃⣶⣶⣾⣗⠀⡿⣠⣶⣶⣶⠂⠀⠀⠀⢀⣠⡶⠞⠛⠛⠲
⠀⠀⠀⠀⠀⠀⠀⠸⢿⡶⢿⡇⣿⡁⠀⢸⡆⠀⣫⠴⠋⠀⠀⠀⣠⠞⠋⠁⠀⠀⠀⠀⠀⣹
⠀⠀⠀⠀⠀⠀⠀⠀⣈⣙⠬⠛⡌⠳⣄⠘⠃⠈⢈⣿⠟⢁⡴⠋⠀⠀⠀⠀⣰⠋⠀⠀⢠⠇
⠀⠀⠀⠀⠀⠀⠠⠾⣿⣦⣤⠤⡆⡀⢰⢀⣺⡛⢋⠵⠊⠁⠀⠀⠀⠀⠀⠀⠘⠷⠤⠖⠁
⠀⢀⣤⡤⠤⣀⠀⠀⠀⠀⣼⣿⣧⠏⠫⢼⡏⠁
⣰⠏⠁⠀⠀⠀⠉⢦⡀⠀⠻⠛⠁⠀⠀⢸⠇⠀⠀⠀⠀⠀⢀⣠⣄⡀
⢿⠀⠀⡴⠲⡄⠀⠀⠙⣄⠀⠀⠀⡖⡄⡾⢃⣀⠤⠒⠊⢁⣤⣄⠈⢳
⠘⣆⠀⠃⠀⡇⠀⠀⠀⠘⡄⠀⠀⡨⢩⠞⠉⠀⠀⠀⠀⠀⠣⣀⣡⡴⠁
⠀⠈⠑⠒⠊⠀⠀⠀⠀⠀⣷⣠⢋⡴⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣿⠴⠋⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⣧⡟⠁

⠀⠀⠀⠀⠀⢀⣀⣀⠾⡎⣿⣦⣠⡾⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠸⡏⣟⡃⣶⣶⣾⣗⠀⡿⣠⣶⣶⣶⠂⠀⠀⠀⢀⣠⡶⠞⠛⠛⠲
⠀⠀⠀⠀⠀⠀⠀⠸⢿⡶⢿⡇⣿⡁⠀⢸⡆⠀⣫⠴⠋⠀⠀⠀⣠⠞⠋⠁⠀⠀⠀⠀⠀⣹
⠀⠀⠀⠀⠀⠀⠀⠀⣈⣙⠬⠛⡌⠳⣄⠘⠃⠈⢈⣿⠟⢁⡴⠋⠀⠀⠀⠀⣰⠋⠀⠀⢠⠇
⠀⠀⠀⠀⠀⠀⠠⠾⣿⣦⣤⠤⡆⡀⢰⢀⣺⡛⢋⠵⠊⠁⠀⠀⠀⠀⠀⠀⠘⠷⠤⠖⠁
⠀⢀⣤⡤⠤⣀⠀⠀⠀⠀⣼⣿⣧⠏⠫⢼⡏⠁
⣰⠏⠁⠀⠀⠀⠉⢦⡀⠀⠻⠛⠁⠀⠀⢸⠇⠀⠀⠀⠀⠀⢀⣠⣄⡀
⢿⠀⠀⡴⠲⡄⠀⠀⠙⣄⠀⠀⠀⡖⡄⡾⢃⣀⠤⠒⠊⢁⣤⣄⠈⢳
⠘⣆⠀⠃⠀⡇⠀⠀⠀⠘⡄⠀⠀⡨⢩⠞⠉⠀⠀⠀⠀⠀⠣⣀⣡⡴⠁
⠀⠈⠑⠒⠊⠀⠀⠀⠀⠀⣷⣠⢋⡴⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣿⠴⠋⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⣧⡟⠁

⠀⠀⠀⠀⠀⢀⣀⣀⠾⡎⣿⣦⣠⡾⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠸⡏⣟⡃⣶⣶⣾⣗⠀⡿⣠⣶⣶⣶⠂⠀⠀⠀⢀⣠⡶⠞⠛⠛⠲
⠀⠀⠀⠀⠀⠀⠀⠸⢿⡶⢿⡇⣿⡁⠀⢸⡆⠀⣫⠴⠋⠀⠀⠀⣠⠞⠋⠁⠀⠀⠀⠀⠀⣹
⠀⠀⠀⠀⠀⠀⠀⠀⣈⣙⠬⠛⡌⠳⣄⠘⠃⠈⢈⣿⠟⢁⡴⠋⠀⠀⠀⠀⣰⠋⠀⠀⢠⠇
⠀⠀⠀⠀⠀⠀⠠⠾⣿⣦⣤⠤⡆⡀⢰⢀⣺⡛⢋⠵⠊⠁⠀⠀⠀⠀⠀⠀⠘⠷⠤⠖⠁
⠀⢀⣤⡤⠤⣀⠀⠀⠀⠀⣼⣿⣧⠏⠫⢼⡏⠁
⣰⠏⠁⠀⠀⠀⠉⢦⡀⠀⠻⠛⠁⠀⠀⢸⠇⠀⠀⠀⠀⠀⢀⣠⣄⡀
⢿⠀⠀⡴⠲⡄⠀⠀⠙⣄⠀⠀⠀⡖⡄⡾⢃⣀⠤⠒⠊⢁⣤⣄⠈⢳
⠘⣆⠀⠃⠀⡇⠀⠀⠀⠘⡄⠀⠀⡨⢩⠞⠉⠀⠀⠀⠀⠀⠣⣀⣡⡴⠁
⠀⠈⠑⠒⠊⠀⠀⠀⠀⠀⣷⣠⢋⡴⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣿⠴⠋⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⣧⡟⠁

⠀⠀⠀⠀⠀⢀⣀⣀⠾⡎⣿⣦⣠⡾⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠸⡏⣟⡃⣶⣶⣾⣗⠀⡿⣠⣶⣶⣶⠂⠀⠀⠀⢀⣠⡶⠞⠛⠛⠲
⠀⠀⠀⠀⠀⠀⠀⠸⢿⡶⢿⡇⣿⡁⠀⢸⡆⠀⣫⠴⠋⠀⠀⠀⣠⠞⠋⠁⠀⠀⠀⠀⠀⣹
⠀⠀⠀⠀⠀⠀⠀⠀⣈⣙⠬⠛⡌⠳⣄⠘⠃⠈⢈⣿⠟⢁⡴⠋⠀⠀⠀⠀⣰⠋⠀⠀⢠⠇
⠀⠀⠀⠀⠀⠀⠠⠾⣿⣦⣤⠤⡆⡀⢰⢀⣺⡛⢋⠵⠊⠁⠀⠀⠀⠀⠀⠀⠘⠷⠤⠖⠁
⠀⢀⣤⡤⠤⣀⠀⠀⠀⠀⣼⣿⣧⠏⠫⢼⡏⠁
⣰⠏⠁⠀⠀⠀⠉⢦⡀⠀⠻⠛⠁⠀⠀⢸⠇⠀⠀⠀⠀⠀⢀⣠⣄⡀
⢿⠀⠀⡴⠲⡄⠀⠀⠙⣄⠀⠀⠀⡖⡄⡾⢃⣀⠤⠒⠊⢁⣤⣄⠈⢳
⠘⣆⠀⠃⠀⡇⠀⠀⠀⠘⡄⠀⠀⡨⢩⠞⠉⠀⠀⠀⠀⠀⠣⣀⣡⡴⠁
⠀⠈⠑⠒⠊⠀⠀⠀⠀⠀⣷⣠⢋⡴⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣿⠴⠋⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⣧⡟⠁

⠀⠀⠀⠀⠀⢀⣀⣀⠾⡎⣿⣦⣠⡾⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠸⡏⣟⡃⣶⣶⣾⣗⠀⡿⣠⣶⣶⣶⠂⠀⠀⠀⢀⣠⡶⠞⠛⠛⠲
⠀⠀⠀⠀⠀⠀⠀⠸⢿⡶⢿⡇⣿⡁⠀⢸⡆⠀⣫⠴⠋⠀⠀⠀⣠⠞⠋⠁⠀⠀⠀⠀⠀⣹
⠀⠀⠀⠀⠀⠀⠀⠀⣈⣙⠬⠛⡌⠳⣄⠘⠃⠈⢈⣿⠟⢁⡴⠋⠀⠀⠀⠀⣰⠋⠀⠀⢠⠇
⠀⠀⠀⠀⠀⠀⠠⠾⣿⣦⣤⠤⡆⡀⢰⢀⣺⡛⢋⠵⠊⠁⠀⠀⠀⠀⠀⠀⠘⠷⠤⠖⠁
⠀⢀⣤⡤⠤⣀⠀⠀⠀⠀⣼⣿⣧⠏⠫⢼⡏⠁
⣰⠏⠁⠀⠀⠀⠉⢦⡀⠀⠻⠛⠁⠀⠀⢸⠇⠀⠀⠀⠀⠀⢀⣠⣄⡀
⢿⠀⠀⡴⠲⡄⠀⠀⠙⣄⠀⠀⠀⡖⡄⡾⢃⣀⠤⠒⠊⢁⣤⣄⠈⢳
⠘⣆⠀⠃⠀⡇⠀⠀⠀⠘⡄⠀⠀⡨⢩⠞⠉⠀⠀⠀⠀⠀⠣⣀⣡⡴⠁
⠀⠈⠑⠒⠊⠀⠀⠀⠀⠀⣷⣠⢋⡴⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⣿⠴⠋⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⣧⡟⠁