Gunner Emojis & Symbols

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠀⠉⠙⢶⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⢀⠀⠀⠀⢀⣠⣤⣤⡀⠀⠀⠀⠚⢳
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢀⡆⠀⢀⣴⣿⣏⣻⢻⡿⠁⠀⠀⠀⠛⢷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣶⠾⣿⠶⣿⣿⣿⣟⣡⣾⡇⠀⠀⠀⡀⠀⣹⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠿⠚⠛⠿⣿⣿⡉⠉⠂⠀⠀⠀⣵⠀⡟⡽
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⠀⠀⢀⡀⠤⣿⣿⣿⡄⠀⢀⢠⣽⡧⠎⣡⢿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⡠⢐⣪⣥⣤⣴⣿⣿⣟⠳⣶⠾⠛⡉⠀⠒⡡⢺⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢠⠾⢛⡿⡛⠋⠉⠻⠿⠟⠛⣩⡴⠖⠋⣠⠴⢋⠴⢿⣷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡏⠠⣿⣧⣳⣀⠀⠀⡀⠀⢈⣁⣀⣄⣈⣠⣤⣤⣤⡴⣮⣙⢲⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⣴⣿⡆⣉⠛⠫⢉⣉⣩⣭⣿⡿⠿⢛⠿⠋⠁⠀⠒⠒⢌⠳⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡃⣼⣿⣦⣽⣿⢿⣿⠟⠋⠁⢀⠄⠀⠀⠀⠀⠀⠢⠈⠂⠀⠘⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⡄⠀⠀⠀⣠⡾⠻⡇⢻⣿⣿⣟⡯⡾⠋⠁⠀⠀⣠⠏⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢸⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡇⣿⠦⣄⣰⠋⡇⠀⢻⡌⢻⣿⡿⠂⠀⠀⢀⣤⣴⠃⠀⠀⠀⢀⡆⠀⠀⠀⡜⠀⠀⠀⠀⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⢡⣿⠛⠺⢽⣶⣦⣄⡀⢻⣦⡉⢀⣤⣤⣀⣀⣼⠇⠀⠀⠀⠀⣾⠀⠀⠀⢀⡇⠀⠀⠀⡇⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣟⡿⣶⣤⣀⠈⠙⠻⣝⡳⠿⣿⣿⣿⣿⣿⡟⡟⠀⠀⠀⠠⢰⣿⠀⠀⠀⢸⡇⠀⠀⠀⠁⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡿⠿⣿⣿⣶⣶⣧⣌⣙⣻⣿⣿⣿⣽⣟⡛⠂⠀⢺⣗⣸⠛⢷⡞⠀⠨⠿⠀⠀⠘⠀⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⢸⣿⠻⣿⣿⣯⡻⣿⣏⠓⢺⠽⢿⣧⣀⡼⠛⠁⢀⣸⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣦⣄⠀⢸⣿⣠⣿⣿⣿⣿⣿⠿⠿⣾⠄⠀⠈⠉⠁⠀⠀⠘⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⠀⠀⢻⣿⡟⢁⣿⣿⣏⡿⢾⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠁⠈⠛⠛⠃

⠀⠀⠀⢀⠶
⠀⠀⠀⠘⣄⣠
⠀⠀⠀⠀⠈⢻⡆
⠀⠀⠀⠀⠀⠈⢣⣂⠀⣀⣴⡄
⠀⠀⠀⠀⠀⠀⢸⣿⡿⣦⡟
⠀⠀⠀⠀⠀⠀⠘⢿⠀⠺⣇
⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠼⢆
⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠺⠷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣦⣴⠿⢶⣔⣣⠀⠀⠀⠀⢰⡇⠀⠀⠀⢸⠛⠚⠳⠶⣤⣤⣤⠤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣟⣯⣤⣜⢿⠑⡷⡄⠀⠄⣸⣧⡍⢙⣠⣿⣿⢂⣴⣾⠋⣉⣉⣱⡐
⠀⠀⠀⠀⠀⠀⢸⣿⣭⡟⢻⡁⣾⣿⣻⣏⢆⠈⢮⣯⡀⣿⣿⣿⣿⣿⣿⣿⢿⣧⡾⠋⣿⣍⣩⠙⡇
⠀⠀⠀⠀⠀⠀⠀⢷⡤⠤⠟⠛⣿⡉⣱⠿⠌⣶⡿⣿⡷⣾⣿⣿⣿⣿⣯⡛⣿⣿⣱⣿⣽⢿⣷⣰⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢤⠴⠹⣿⠟⢷⡞⢉⣿⣿⣯⣭⣀⡠⢬⣿⣇⠴⠻⣿⢋⣑⣊⣹⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠿⣀⣿⠥⡄⠨⣷⡿⣧⢰⣺⡿⠧⠟⢿⢻⣇⢀⣴⡿⠟⢉⡽⣫⣿⡟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠈⢠⡞⢀⣼⣻⣷⢿⣼⣏⠀⠀⠀⣸⣭⣿⢹⣿⣧⣴⣿⣟⣡⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧⠰⣦⣿⣯⡙⣷⣿⣯⢿⡟⠇⠀⣾⣿⠋⠙⢛⠿⢿⣿⡛⣫⣶⠃⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡏⠀⠹⢿⣿⣌⢿⡖⠛⣉⣡⠤⣦⣾⡶⢛⣩⡿⠁⢹⡀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣄⠀⠢⠀⠙⣿⣁⣹⣿⣶⣊⣻⣩⣤⣤⣼⡧⠤⣼
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠓⢛⡀⠀⢠⠀⠀⣻⠉⠉⠉⠉⡇⠈⠀⢸⠀⠈⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡶⠉⠙⠻⣟⠙⠋⠙⠋⢛⡓⠒⠶⣎⣻⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⠀⠀⢬⡄⠀⠀⢠⠂⠀⠀⠀⠈⠙⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⢹⣄⣀⣮⠀⡌⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⡠⠄⠀⠀⠨⡇⠁⠀⢠⡁⠐⢠⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⢠⠀⠀⠀⠀⡾⠀⠀⠀⠈⠃⠀⠀⠇⠀⠠⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠉⠀⡿⢀⡀⠀⣠⠇⠀⠀⠀⠀⠀⠀⣀⢀⠉⢢⢠⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⢘⡱⠊⢁⠾⠁⠀⠀⠀⠀⠀⠀⠘⢧⠈⡀⢘⡏⠁⠳⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢋⠀⠒⢫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⢿⣿⠁⠀⢀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠠⠁⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⠀⠈⠿⠀⡴⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⠃⢰⡷⠀⠠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⣠⡄⡴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⠏⣰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣧⡌⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠹⠾⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠃⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡇⠠⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡆⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡍⠀⠀⣸⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠿⠛⠛⠛⠛⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⢀⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠤⠄⡐⣀⣲⡷⢠⣤⣤⠤⠤⠤⠤⠤⠤⠴⠶⠶⠾⠷⠿⠶⠖⠒⠲⠶⠒⠒⠛⠛
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠄⠐⠀⠀⠀⠀⠀⠀⠀⠲⠖⠀⠀⠀⠀⠀⠐⠂⠤⠤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡞⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⣛⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⡅⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠀⠀⢈⠉⠀⠀⠀⠀⠀⠀⠀⢌
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⢀⣥
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⢉⢻⠢⣤⣤⣀⣀⡀⠀⢀⣻⣿⢗⠚⠋⠉⠉⢹⣦⡄⠠⠤⠔⠊⢿⠀⠀⠉⠓⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢠⠄⢸⣸⡀⠃⠰⠦⡥⣤⣀⣈⡿⡿⡿⢤⠶⢶⢶⣾⠷⠟⠋⠁⠀⠄⣼⠀⠳⠀⠀⠃
⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⢐⠀⢸⠘⢳⠀⣀⠀⠁⠀⢠⡛⡀⠀⠁⡀⠠⢀⠛⡟⢌⠆⠀⠀⠴⠖⠻⣀⡃⠀⠀⣇
⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠸⣤⣿⡀⢦⣀⠈⠀⠀⠀⠨⠁⠀⠀⢰⣴⠛⣧⡀⠈⠈⠀⠀⢀⡴⠟⣿⡉⠁⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⢈⣻⡇⠀⠉⠑⠂⠀⠀⢀⠀⢀⣾⠟⠉⠀⠈⠿⠤⠤⠶⠐⠁⠀⠀⣿⠃⠀⠀⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢢⣤⣼⡇⠀⠀⠠⡀⠀⠈⠉⠂⢠⠀⠀⠀⠀⢣⠀⠀⠀⠠⠀⠀⠀⠂⣿⢐⡀⠀⠀⢿⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠸⠿⣿⠀⠀⠀⠀⠉⠂⠀⠀⢠⠇⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⡿⠊⠁⢀⣤⠟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠍⠒⠒⠒⠟⠀⠀⠀⡄⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠉⠁⠀⠠⠋⠋⠿⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢠⣀⠀⢀⡀⠀⠀⠀⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠇⠀⠐⢲⣿⣻⡒⡶⡆⠀⠰⠒⠢⡿⠏⠐⣋⣯⠞⠋⠉⠀⠀⠀⠀⣼⢛⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠈⣀⣀⡀⣣⣀⣉⣙⣃⡒⡚⠂⠐⠓⠁⢉⡽⠁⡀⣀⠂⣠⠎⠀⣼⡿⠋⢈⡷⠶⢦⡀
⠀⠀⠀⠀⠀⠀⡠⢾⠇⠀⠀⠀⠀⣴⠆⠈⠖⠉⢹⡉⠉⢩⣤⠤⠄⢀⡀⠀⣀⣸⣍⣑⡒⠀⠰⠁⠀⣰⣻⠁⣠⣿⠏⠀⣸⢻
⠀⠀⠀⠀⠀⢼⡇⠘⠀⠀⣦⠀⢀⠉⠇⢩⠿⢛⠉⠉⢹⡋⠀⠸⡏⠀⠀⠿⠀⠀⢾⠙⢿⡿⠃⠀⣰⢣⠇⢰⡿⢥⣑⠎⢀⣾⡀
⠀⠀⠀⠀⠀⡸⢳⣸⠀⣴⠻⡀⢰⠀⢸⠛⠐⢺⣄⠀⠘⢃⣤⠀⠃⠠⠄⠉⠀⠀⣸⣧⣼⡀⠀⣼⡇⡎⢰⡟⠀⠀⢨⣷⠟⠉⠈⣧
⠀⠀⠀⠀⢀⡇⠀⡿⡄⣁⠀⢷⣁⡧⢸⣾⠈⠉⠀⣐⡇⠈⠁⠀⠑⠀⠀⠀⠈⠋⠀⠸⠀⡇⠀⢸⠿⡷⣿⡇⠀⠀⢤⡙⠀⠀⢀⣸
⠀⠀⠀⠀⡸⠀⠐⡇⠀⠙⠄⡀⠈⠢⢸⣿⣀⣀⣀⡺⢇⣀⣀⣀⠒⠢⣠⣤⣀⠒⢀⣤⡘⢿⣦⣼⣤⣞⢸⡇⠀⠀⢹⣇⡴⠋⠁⠸⡆
⠀⠀⠀⠀⡗⠀⠐⠇⠀⠈⠀⠈⠂⣼⢿⡇⠀⠀⠀⠅⡇⠀⠀⠀⠉⡇⠀⠀⠀⠂⠀⠀⠀⣏⠀⢸⡅⣽⢸⣇⠀⠀⠸⣆⡹⠀⠤⠊⣷
⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠃⢸⡇⣀⣤⡀⠁⠁⣀⣀⡀⠂⠃⢀⡀⠀⠓⠀⠀⣀⠉⢀⣸⡇⣯⠀⢻⡀⠀⠀⠙⠛⠦⠤⣾⡁
⠀⠀⠀⣸⠃⣄⡀⠤⠀⠀⠀⢀⡄⠀⢸⡇⠀⠀⠀⢳⠁⠀⠀⠈⠀⠇⠀⠀⠀⣱⠀⠀⠀⠀⡇⢨⣧⣿⠀⠈⡗⢠⣤⠴⢺⡀⠀⠟⣇
⠀⠀⠀⡟⠐⢀⡠⠤⠀⠀⠀⠘⠀⠀⢸⢇⢀⣀⠀⠚⢀⣀⣀⠐⠀⠂⣀⣀⠀⠛⠢⠤⠀⠀⠁⠘⣿⣿⡄⠀⢱⠀⠀⠀⠀⠀⠀⠀⢸
⠀⠀⢠⠄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠑⢾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠏⠙⠀⠠⠎⠑⠛⠳⠶⠶⠆⣀⡀⡆
⠀⠀⠈⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⣤⣀⡀⠀⠀⠀⣀⡀⡀⠀⡀⠀⢀⠀⣠⠄⣠⠀⠀⠠⣡⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁
⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⠄⣠⠀⠀⠙⢦⣠⣄⡀⠀⠤⠀⠈⢠⣌⠀⣠⠞⠁
⠀⠀⠀⠀⠀⠈⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢫⣀⠀⠀⠄⠠⡤⠤⠤⠤⠒⠋⠈⢠⠟⠀⠀⠀⠀⠀⠀⠀⠀⢀⠖⠁
⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢾⠿⣿⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠐⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⣾⡿⣖⢺⢉⡟⠻⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢂⡵⣶⣷⣍⣯⣹⢋⡕⣡⣤⣾⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⣿⣷⢿⣯⣿⡝⡶⢞⠱⢧⣬⣿⣄⣀⡀⢀⣄
⠀⠀⠀⠀⠀⠀⠀⠠⢿⡧⠉⠻⠈⠌⣿⡿⣿⡿⢿⣷⣄⢸⠏⡉⠉⠁⠈⠈⠓⠀⡀
⠀⠀⠀⠀⠀⠀⢐⣅⣀⠀⠀⠀⠑⠀⠈⠻⠦⢤⣄⣩⢾⠟⢠⡁⠠⢠⡀⠀⠀⠔⢇
⠀⠀⠀⠀⠀⢠⠀⠀⠈⢳⡀⢀⡄⠘⠢⡀⠀⢶⡼⠊⡀⢀⡍⢌⣷⡹⠃⠀⣾⣤⣏⡇
⠀⠀⠀⠀⠀⢰⠃⠂⠐⠉⠉⢹⣶⠀⢀⣀⠀⡈⡣⢤⠀⣿⡼⡀⣀⣠⣤⡴⠿⡏⢻⡆⠀⠀⠀⠀⠸⠯⡆
⠀⠀⠀⠀⠀⡟⠀⠀⡀⠀⠀⠸⣷⠀⠀⠹⢸⠟⣳⣼⡣⡤⣷⢯⡇⣃⢻⣶⣶⠷⡖⠀⠀⠀⠀⠐⢖⠋⢉⣿⣶⡀
⠀⠀⠀⢀⡔⠃⠁⡊⣹⢲⣯⠀⠑⢻⣶⣖⡃⠟⢋⠀⢈⡤⡿⠯⠣⠀⠀⣟⠇⢀⠀⠀⠀⠀⠂⢠⡌⢀⣸⣽⣿⣶
⠀⠀⠀⠘⣀⡄⠈⠀⢺⣏⣯⣀⠀⢸⣿⠿⠖⡶⡌⠀⡏⠀⠸⠀⠀⠀⠈⡋⠀⠀⢀⡄⠀⠀⠢⡀⢍⡁⠀⣯⣿⠇
⠀⠀⠀⠀⠈⢺⡡⠀⣈⣿⠿⠻⣷⣋⣠⡄⠀⡇⠉⠀⣇⢀⠀⡔⠒⠒⠋⢃⣀⠰⡤⠀⢠⠀⠂⠙⠂⠉⠋⠁
⠀⠀⠀⠀⠀⠀⠻⣿⡌⠉⢍⣿⣿⣷⡟⠱⠀⡇⢄⢻⣿⣬⣳⣄⠐⣿⢏⡽⣟⣷⣤⣰⠃
⠀⠀⠀⠀⠀⠀⠼⣻⣷⢶⡿⠋⠀⠈⢻⡤⢂⡐⣞⡇⢣⠙⠉⠓⢶⠂⠀⠀⠀⠙⠷⠚⠂
⠀⠀⠀⠀⠀⠘⠁⢸⣿⠸⣿⣀⡘⠯⠛⡷⣾⣧⣉⣡⠄⢿⣄⢀⠃⠀⠀⠀⠀⠀⢠⠆⠰⣀⡀
⠀⠀⠀⠀⠀⣇⠄⠸⣿⣿⢿⠏⠀⣀⣼⡅⠈⠃⠽⢟⡧⠈⢿⠇⠀⠀⠀⠀⠀⠀⠈⡀
⠀⠀⠀⠀⠀⠱⣀⠀⠀⠉⠛⠁⣿⠰⠍⠈⠐⠀⠂⠰⠣⠢⣀⠀⠀⢠⣦⣶⡞⠙⢸⢆⣠⠄
⠀⠀⠀⠀⠀⠀⠉⠢⢀⡀⠀⠆⢀⡀⢡⣠⠘⠥⡄⣜⡀⠈⠹⣤⣶⣿⣤⡾⠀⠀⣸⠖⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡉⠉⠁⠀⢸⠆⠺⠙⠳⠀⠀⠀⠹⠞⢿⡸⢀⣈⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⢘⠄⠀⠃⠀⠀⠀⠀⠀⠀⠈⢷⡁⠀⠹⣆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡝⠧⠈⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡧⠴⠀⡉⢵⣤
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠶⠿⢾⠻⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣤
⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣄⣸⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⣀⣴⡾⠏⡀⠀⢀⣤⣶⣷⠆⠀⠀⣀⣤⣶⣶⣋⡀
⠀⠀⠀⠀⠀⠀⠀⣤⣸⠆⠈⠉⠛⠛⠾⢿⣿⣷⣦⣤⣴⣿⣛⡉⢒⣵⣾⣿⣿⣿⣷⣿⠹⣟⢷⣶
⠀⠀⠀⠀⠀⢀⣾⡟⠁⠀⠀⠀⠀⠀⠀⠀⢀⣠⡿⣫⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣇⣃⣀⢸⣿⡿⣧⣦⡀
⠀⠀⠀⠀⢠⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⢼⣿⣿⠟⡙⠿⠻⠻⢿⢿⣿⣿⣿⡧⢞⣵⢾⡿⣭⣿⣿⣦⠀⠀⠀⠀⠀⠠⠁
⠀⠀⠀⠀⣾⠏⠀⠀⠀⠀⠀⠀⣀⣠⣷⣶⣶⢾⣿⣿⣿⣿⣿⣿⣿⠇⢪⡡⠙⢛⣹⡏⣸⣿⣿⣿⡛⢟⣿⣿⠇⠀⠀⠀⡐⠁
⠀⠀⠀⣸⠛⠤⠶⠾⠾⠷⠗⠿⡿⣿⣯⣿⣥⣾⣵⠾⠿⣿⣿⣿⠛⠻⣿⣣⡾⠀⣁⠘⢻⡿⠋⣈⣤⣾⣿⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡴⠓⣿⣿⠋⣸⠭⠀⣾⣏⣸⡄⠁⣼⠟⠿⠿⣦⣙⣤⣌⣠⣤⣾⣿⣿⡿⠃
⠀⠀⠠⠖⠀⠉⠉⠉⠁⠰⠶⢀⣀⣠⣿⣆⣴⣿⣭⠐⣿⠷⣛⣤⣤⡟⡀⣠⣴⣿⡿⠛⢻⣿⣿⣿⣿⡿⠁
⣴⣴⣶⣶⡖⣶⣦⠾⠤⢼⡿⠟⠿⢿⣿⠛⢧⠘⣿⣧⠈⠸⠿⠿⠿⣿⣿⡿⢯⠁⠰⠾⢿⢿⣿⣿⠋
⢀⠈⢀⣈⣩⣽⣤⣤⣤⣾⣧⣤⣤⣼⣟⣘⣣⣿⣌⣿⣿⢤⣤⣴⣾⣿⣻⠶⠶⠲⢤⣄⣠⣞⣿⣦⡄
⠀⠀⢰⣇⡿⢿⣿⣿⣍⣻⣧⣾⣿⠿⠿⡏⣹⣿⣿⣧⣿⣾⡟⠛⠛⠟⠁⣠⣾⣷⣿⣾⣿⠏
⠀⠀⢸⣿⡾⢻⠛⣿⣿⣽⣿⢟⢱⣄⢠⡨⣿⣿⡿⠛⠁⢿⣷⠀⠚⠀⣾⣿⣿⡿⠛⠉
⠀⠀⠀⢿⣧⡌⠆⠹⡏⣿⡇⠈⢸⡈⣇⡤⠟⢁⡤⢤⣄⣾⡿⠀⣤⣼⣿⣿⠁
⠀⠀⠀⠈⢻⣿⡀⣀⣼⣿⣇⠀⣚⣥⣽⣿⠿⢿⣟⣩⣤⣴⣾⣷⠘⡛⣿⣷⣄
⠀⠀⠀⠀⠀⠨⢥⣘⡣⠌⠁⡈⠉⠉⠈⢠⣶⣾⣿⣿⣿⣇⣿⣿⠳⣿⣿⢿⣿⣆
⠀⠀⠀⠀⠀⢀⣀⣀⣤⢴⡶⡇⠀⠀⠀⢀⣿⣿⣿⢿⣿⣛⡋⠛⠀⠀⠙⣿⣿⣿
⠀⠀⠀⠉⠉⠉⢀⣹⠿⠖⠛⠁⠀⠀⠀⢸⣿⡿⠿⠚⠉⠁⢀⣠⣬⡶⠖⠀⣽⠟⣄
⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⡶⠾⠛⠋⢠⣤⣴⡾⠟⠛⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉

⠀⠀⠈⠀⠀⠀⠀⠐⠃⠉⠉⠈⠁⠀⠀⠙⣯⠟⠛⠁⠈⠁⠉⠁⠀⠀⠀⠀⠁⠈⠀⠀⢹⠸⠅⠘⠈⣷⠴⠞⠉⠲⣌⡴⠏⠐⠊⠁⠀⠀⠀⠀⠈
⢶⣀⣠⣀⠀⢀⣴⣣⠀⣤⡀⠀⠀⠀⠀⠠⠋⠀⠀⠤⣦⣀⣤⠀⠀⠀⢁⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢠⠐⠐⡀⠄⢀⣨
⠀⠉⢉⣫⠿⣍⠈⠂⢀⡾⠛⠺⠻⣄⣀⡀⢀⡴⢦⡀⠁⠉⠉⠐⠂⠁⠁⠒⠿⠿⣦⡀⠀⣀⡄⠀⠀⠀⠠⢄⡤⣄⡀⢀⣀⣠⣋⠀⠀⠀⠀⠀⣙
⠀⢄⡀⠈⢳⠰⠒⠒⠊⢁⣀⢤⡀⠉⠉⢻⠥⠀⠀⠀⡴⠚⠒⣄⣀⣀⣀⡀⢀⣀⠉⠉⠉⠓⠓⢀⠐⠒⠄⠀⠀⠈⣉⠁⡨⠭⡀⠀⠀⡀⠀⠀⣿
⢠⠂⠉⠀⠚⠺⠒⠒⠒⠋⠀⠀⠉⠓⠒⠀⠐⠒⠀⠀⠀⠂⠀⠘⠁⠈⠀⠸⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⢹⡄⡉⠉⠉⠀⡇
⠀⡄⠀⠄⡂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠉⠚⢀⠀⠠⠀⠈⠐⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠓⠢⠚⠁⡖⡀
⠠⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢄⢠⠄⠐⠢⠀⠂⠀⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡀⢠⡀⢠⡀
⢀⣤⣦⣀⡀⠀⠀⠀⠀⠀⠀⢀⠀⢠⠄⠠⠄⢤⣤⢤⣤⣀⠀⠉⠙⢄⣠⠀⠂⣶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣧⢝⡊⡀⠄⠉⢉⠁⡖
⣀⠉⠃⢸⡟⠉⠁⠒⢢⣤⠊⠁⡀⢬⠁⢤⢠⣀⠈⠻⣟⣮⣿⣦⡀⠁⠀⠁⠀⠇⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⢤⡂⠺⡑⣴⠄⠄⠀⠁⢠⡾⠄⠁
⠑⠺⠷⣯⣶⣤⠀⢀⡸⠁⡔⠪⢂⠉⠙⡗⡌⠀⢧⡀⠘⢷⠟⣳⡟⠘⢰⠆⣤⣤⣠⠀⠴⠶⠶⡛⠷⣶⣧⣀⠀⠉⢀⡴⠛⡀⣀⠀⢀⠾⣁⢠⡦
⠀⠀⠀⠀⠀⠉⠙⢺⣡⡜⣰⡀⠀⠣⣤⢀⡀⢀⡡⠒⠀⠨⡒⠒⣿⠀⣚⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀⠈⠙⠛⠉⠀⢠⣟⠻⣶⢣⠎⠉⢻⠄
⠀⠀⡄⠀⠀⠀⠀⢸⠀⠁⠂⠌⢹⡏⠉⢻⢖⠉⠑⠒⠂⠐⢶⡜⠀⠓⠃⡏⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⡱⣤⠹⠀⠀⠀⢷
⠀⢼⠧⠾⠤⢴⠧⠼⠀⠇⠀⡧⢚⢿⣿⡫⠮⠭⡐⠺⠀⢠⢸⣿⡗⠂⣰⠁⡟⡸⠤⠦⣄⠀⠀⠀⠀⠀⠀⠀⠒⠀⠀⢀⠃⠀⢁⡸⠓⠀⠀⠀⢺
⠀⠀⠀⠀⠀⠀⠀⠺⡤⢛⠕⠸⠀⡜⠸⠑⠜⡒⢂⡇⢀⡌⣼⣿⣟⣿⡯⣼⡥⡤⠤⣵⣭⣤⡄⠤⢤⠠⠐⠂⠄⠁⡄⢸⠤⡞⠉⢀⠀⠀⠱⡆⢐
⠀⠀⠀⠄⠀⠈⠀⠲⠿⡁⠐⢤⢌⠆⠀⢠⢘⡶⠂⢀⢾⡟⢉⣿⣿⣿⣧⣀⣬⠻⢅⠀⠈⠉⠉⠀⠃⠀⠀⠀⠀⠀⠉⣿⡀⢸⠀⢈⡙⠒⠠⣵
⠀⠀⠀⠀⠀⠈⡀⠀⢀⣙⢦⡀⠉⠘⠛⠉⠑⠠⢐⣵⡫⠚⠉⠉⠻⣿⣟⣽⢶⣟⡀⡮⢡⢁⢒⠀⠀⢉⠀⠀⠀⠙⠛⠻⡉⡏⠀⠀⠠⠄⠀⡿
⠀⠀⠀⠀⠀⠀⠉⠀⠀⠉⠁⠉⠙⠒⡒⠒⠚⠉⠉⠁⠀⠀⠀⠀⠀⣈⠳⣷⣞⢸⣿⣷⢷⠿⣯⠂⠈⠉⠑⠉⠀⣀⡤⢘⣣⠃⠀⠀⠀⠀⠀⠇⢀
⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣬⣿⣭⣭⣤⣭⣥⣶⣶⣦⣤⣤⣤⣤⣤⣬⣭⣿⣾⣼⣦⣤⣤⣤⣤⣥⣤⣤⣬⣧⣤⣤⣤⣤⣤⣤⣤⣤⣧⣼
⣿⣿⣏⣉⣉⡉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠱⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢄⠀⣀⡙⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠈⠁⣿⣹⢷⡇⢠⡤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⢿⡻⡎⡝⠛⠀⢦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡴⠁⠀⠙⠉⣇⠀⠀⠳⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠾⠃⠀⠐⠞⠀⠀⢸⣆⣠⠖⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢀⠀⠀⠀⢀⠆⠸⢸⣷⢦⡀⠀⠚⣼
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⢾⠒⠀⠐⠋⠀⠀⣿⢧⣬⠈⠖⡀⣴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠘⠀⣀⣤⣄⠀⡴⠧⠈⠀⠀⠀⡄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠖
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⡆⢼⣿⣿⣿⣿⣷⣄⠰⠈⠀⢠⣤⣄⣀⠀⠄⠂⢠⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡻⣺⣿⣷⡿⣿⣿⡿⡆⠀⢀⡾⠷⠟⢁⣠⣴⡾⠋⠙⠃⠀⠀⡀⢠⡴
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⣈⡿⠿⣿⠟⣋⡼⠜⠂⣡⣤⣶⠿⠛⢇⠀⠇⠐⠄⠀⢸⣇⠧⣈⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠄⢠⣿⠿⣗⣿⣟⡿⣯⣵⠶⢛⣩⣤⣧⣴⣷⡾⠛⠐⠲⠀⠀⢳⡜⡧⢨
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠰⠦⠊⡿⢭⠈⣩⡿⠿⠋⠰⣾⠉⣄⠻⠹⠷⣠⡄⠠⠁⣀⣤⡆⠀⠛⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢐⢐⢬⢁⡄⢢⣤⣤⢿⠫⠉⠀⠀⠀⠀⠅⠀⠈⠀⠁⠄⢹⡗⡀⣿⠜⣿⣷⡇⢠⢦⣤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡅⠚⠉⢀⡈⡥⠞⡇⠀⠀⠄⠀⠀⠀⠰⣦⣴⣄⠀⠐⠠⠈⠀⠶⢼⡁⠃⢻⠣⠃⠸⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⢒⡉⡅⠶⢒⢩⠄⣄⣀⠸⡀⠀⠀⠐⢻⣿⣟⠀⠀⠀⠀⠂⠈⠀⠀⠀⣠⠆⠀⠀⡇⠀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠐⡌⠃⠈⠆⢚⢩⠼⠖⡂⠀⠋⠐⡧⡔⠀⠀⠀⠙⢿⣅⣀⠀⠀⠀⠀⠀⢀⣾⡏⠀⠀⠀⡇⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠐⠀⠀⠐⠘⠁⠀⢀⢹⠤⠔⠂⣃⠥⠀⠒⠀⠀⡀⠀⠀⠀⠀⠀⠉⢻⣷⣤⣠⣢⣶⡽⠛⠀⠀⠀⢠⡇
⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⢀⣆⠀⠖⡃⣩⣴⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⣯⠀⠀⠀⠀⠀⠀⢸⢁⡀⠀⠀⠠⠃
⡃⠀⠀⢀⡀⠀⠀⣲⠇⠀⣼⣿⡀⠓⢉⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣆⠀⠀⠀⠀⠀⡟⠒⠂⠀⠀⠠
⠣⡥⣶⠀⢿⡶⡭⠥⣤⣼⡿⡟⠁⡀⢶⣾⢧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⣿⣷⠀⠀⠀⢸⣧⡄⠀⠀⣠⣧⠄
⠀⠈⠙⠐⠁⠞⠁⠀⠀⠈⠓⠀⠈⠁⠛⠈⠁⠙⠂⠀⠈⠁⠐⠾⣿⣿⣿⣷⢆⡀⠀⠀⠙⠉⠉⠉⠀⠀⠀⠈⠛⠛⠓⠾⠷⠟⠛

⠀⠀⠀⠀⠀⠀⠀⢀⣾⠟⠛⠛⠛⠛⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠻⣿⡟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⣿⣿
⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠛⣿⠟⢿
⠀⠀⠀⢰⣶⠶⠿⠃⠀⠀⠀⠀⠀⠀⠿⠷⠶⠶⠶⠶⠶⠶⠶⠶⠶⠿⠇⠀⠀⠀⠀⠰⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠶⠿⠁⠀⣿⣀⣺
⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠛⠛
⠀⠀⠀⢸⣿⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣶⡶⠾⠿
⠀⠀⠀⠈⣿⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣯⠉⠉⠉⠉⢹⣟⠉⠉⠉⠙⢿⣏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣿
⠀⠀⢀⣼⣟⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⣾⡇⠙⢷⣄⣀⠀⢸⣿⠀⠀⠀⠀⠀⠹⣷⣄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣿
⠀⠀⢸⡟⠉⠉⠉⠉⠉⢩⣿⣥⣤⣤⣴⣿⠀⠀⠀⠉⠛⢁⣾⠇⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉
⠀⠀⣿⠃⠀⠀⠀⠀⠀⣾⡏⠈⠈⠁⣽⡿⠿⠿⠿⠿⠿⠛⠁
⠀⢸⡿⠀⠀⠀⠀⠀⣰⡿⠛⠛⠛⢻⣿
⠀⣿⠇⠀⠀⠀⠀⢀⣿⣷⣶⣶⣶⣾⡏
⢰⣿⣀⣀⣀⣀⣀⣼⣏⣀⣀⣀⣀⣿⠁
⣾⡏⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣹⡟
⢿⣦⣀⠀⣀⠀⠀⠀⠀⢀⣀⣠⡿⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡀⠀⠀⢀⣴⣦⠄⠀⠀⣀⣤⣴⢖⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣶⡆
⠀⠀⠀⠀⠀⠀⠀⢶⠀⠒⠶⢤⣤⣾⣿⣥⣀⣀⣶⠿⠛⠅⣒⣷⣾⣿⣯⣾⢫⡷⣶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡇
⠀⠀⠀⠀⠀⣠⡿⠋⠀⠀⠀⠀⠀⠈⠉⣙⡿⢻⣿⣿⣷⣶⣿⣿⣿⣿⣏⠿⠀⢹⣼⣿⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡇
⠀⠀⠀⠀⣰⡿⠁⠀⠀⠀⠀⠀⠀⢀⡜⢉⣴⣿⣿⠳⣿⢿⣿⣿⣿⣿⣿⣏⡽⣪⣽⣾⣻⣿⣦⡀⠀⠀⠀⠀⠠⠀⢸⣿⡇
⠀⠀⠀⢠⣿⠁⠀⠀⠀⠀⠀⠀⣤⣨⣤⣴⣾⣿⣷⣷⡶⡶⠀⡛⡙⣿⢿⡗⢸⣿⣿⣿⢿⣿⣿⡇⠀⠀⠀⠠⠁⠀⢸⣿⡇
⠀⠀⠀⣾⣃⣤⣤⣤⣤⣴⣾⣿⣿⣿⣃⣝⣿⣿⣿⣿⣿⠿⣧⣿⣠⡂⠛⠱⢿⡿⠏⠛⣠⣿⣿⠇⠀⠀⠀⠁⠀⠀⢸⣿⡇
⠀⠀⠀⠃⠈⠉⠉⠀⠀⠀⢉⣭⣽⣿⠟⣿⠏⢠⣾⢙⠉⠀⣼⢿⣿⣆⡸⣄⠚⢁⣀⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⢀⡀⠐⠒⠒⠒⢒⡒⠋⠀⣿⡉⣨⣿⠇⣼⣟⡾⠁⣰⡏⠀⣈⣽⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⣀⣀⣈⣀⣤⣤⣤⡀⣾⣶⣶⣾⣿⡿⡏⣹⣷⠘⠣⣿⣿⣷⣶⣾⣿⠟⢉⣤⣶⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠙⠛⠛⠛⠺⠉⠉⣉⣿⡁⢀⣸⣿⠤⢽⣌⢻⣗⠄⣉⣈⣼⣿⢟⣍⣡⣀⠈⠉⣹⣿⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⣰⢻⣿⣿⣿⠷⣿⣟⣯⣿⣿⡶⢻⣿⣾⣻⣮⣿⣿⣿⡷⠋⣠⣦⣽⣝⣿⡷⠉⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⢻⣾⣾⡿⣿⡗⣿⣻⣿⡁⠉⠑⣾⣿⣿⠟⣿⣧⠀⢐⢀⣶⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⢸⣿⡈⡆⢻⡧⣿⠋⠊⠛⣎⠉⡿⠋⡁⠀⢼⣿⠀⡀⣼⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⢻⣷⡀⠈⢻⣿⠀⠠⠖⣳⣯⣴⣶⠭⠟⣛⣫⣄⢻⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⢙⡃⢸⣟⠻⠡⠴⠟⠛⣋⣩⣽⣶⣿⣿⣿⣿⣴⣾⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⠂⠉⠐⢊⣁⣤⠀⠀⠀⢹⣿⣿⣿⣿⣿⡿⣿⠈⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠐⠒⠒⠒⢾⣿⣹⠿⠀⠀⠀⢸⣿⣿⣯⠿⠗⠂⠀⠠⣀⡈⠻⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⠠⠒⠊⠉⠀⠀⠀⠀⠀⠘⠛⠉⠁⢀⣠⣴⡾⠛⠋⢀⣼⣏⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⠛⠉⠀⠀⠘⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠿⠇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⢚⣩⣥⠶⠶⠶⠶⠶⢦⣭⣙⠲⣤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⣡⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢦⡙⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⢋⣾⠋⠀⠀⠠⠤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⢻⡌⣷⣤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⢩⡾⠃⠀⠀⠀⠀⢹⣿⢋⣹⡶⣤⡀⠀⠀⢰⠀⢸⡇⠈⠻⢿⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠟⠁⠀⣿⡀⠀⠀⠀⠀⠀⠀⢻⣮⣛⣡⣿⣿⡶⠖⠻⢶⣞⠁⠀⠀⠀⠙⣿⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⠃⠀⠀⠀⣼⣷⡀⠀⠀⠀⠀⠀⠀⢨⣍⢩⣕⣋⣀⠘⠛⠀⠙⣧⠀⠀⠀⠀⠈⢻⣷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⠁⠀⠀⠀⢠⡿⠈⢳⡀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠉⠛⠿⣦⡀⠀⢻⡀⠀⠀⠀⠀⠀⢻⣷⣦⡤⣦⡀
⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀⠀⠀⠀⢸⡇⠀⠀⠙⢆⠀⠀⠀⠀⠀⠚⠛⠲⢶⣤⣄⣈⢳⠀⣸⠁⠀⠀⠀⠀⢀⣠⠿⣫⣶⣿⣇
⠀⠀⠀⠀⠀⠀⠀⣿⡏⠀⠀⠀⠀⠀⢸⡗⠀⠋⠃⠀⠑⢄⠀⠀⠀⠀⠀⢲⡟⣧⡀⠉⢹⣦⡟⠀⠀⠀⣀⡴⣫⣾⢿⣿⣿⣿⠏
⠀⠀⠀⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⠀⢀⣀⠀⢀⠀⠀⠀⠉⠀⠈⢿⡄⠘⠋⠀⢀⡠⣞⣵⡿⣫⣷⣿⣿⣿⣿⠇
⠀⠀⠀⠀⠀⠀⠸⣿⡇⠀⠀⠀⠀⢀⣿⣤⠤⠴⠖⠊⠉⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠻⣆⣀⣴⣻⡾⢟⣵⣿⣿⣿⣿⡿⠛⠁
⠀⠀⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⠀⠀⢀⣠⣾⣿⢟⣫⣾⣿⣿⣿⢻⠟⢡⣾⠃
⠀⠀⠀⠀⠀⠀⠀⢻⣿⡀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣤⣀⣴⣿⣿⣿⣵⣿⣿⣿⠟⠋⢹⣾⠄⣾⡿
⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⡾⠋⣸⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⡀⢸⡇⠀⠀⠀⠀⠀⠊⢂⠀⠀⢀⣶⣿⡿⠉⠀⠀⠉⠉⠛⢿⣿⣿⠇⠉⠀⠀⣴⣿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⣌⠳⣄⡃⠀⢠⡄⠀⠈⡤⠁⡼⠛⠉⠀⠀⠀⠀⢀⠠⣀⣰⢸⣧⠀⠀⣠⣾⡿⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣌⡳⣤⣀⡀⠀⠀⣂⡼⠀⠀⠀⠀⠀⣤⣄⣨⣶⣿⡽⠿⠋⣠⣾⡿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣶⣭⣛⠶⡶⠻⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡿⢣⣴⣿⠿⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣷⣶⣦⣤⣤⣤⣤⣤⣶⣬⣭⣭⠶⠟⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠛⠉⠉⠁

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⣀⣀⡀⠀⠀⢄⠀⡀⠀⠀⣠⠀⢠⡄
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠏⠀⠀⠈⢰⠎⣇⡇⠀⡄⢹⡀⠀⣿⣂⣐⡒⠂⠤⠤⢀⣀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⢘⣏⠀⠀⢀⠤⠫⠀⠁⠁⢀⡇⣸⣇⣠⣿⠟⠋⠉⠁⢰⢂⡀⠀⠀⢀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣀⡀⠐⠁⠀⠀⠀⡏⠀⠀⢿⡶⣷⠂⠀⠐⠒⠊⠿⠽⠷⣦⣏
⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠉⠙⠒⠛⠂⠀⠒⠾⠦⠤⠄⠀⣀⠀⡀⠀⠀⢀⣉⣛⠁⠀⢠⡇⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠤⠤⠒⠂⠀⢀⣴⣶⣶⣶⣶⣶⡶⢀⣤⣖⣀⣒⡉⣉⣉⣉⣀⣁⣀⣈⣀⣥⣄⠀⠒
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⣿⣿⡟⡅⢹⡇⠀⠀⠀⠉⠘⠿⠀⠀⠿⠛⠉⠉⣉⡉⠀⠈⠙⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡿⣿⣷⡦⣬⣷⣀⡀⠀⠀⠀⠀⣰⠛⠀⠀⠀⠘⠁⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡿⣿⣿⡇⣿⣿⣦⠀⠀⠀⢀⢴⡉⣤⢸⡄⠀⡰⠀⠀⠀⢠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡼⠟⡿⠿⡗⣩⡻⣿⢿⣋⠀⠂⠀⢀⡴⠊⢁⡔⠀⠀⢳⡄⠀⢱⡚⡱
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠶⢞⣿⣧⠀⡇⣨⣈⣎⡉⠉⣚⠻⣦⣤⣬⡉⠀⣾⡏⡅⠀⢀⢯⣥⠳
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⣾⣟⠛⠗⢭⣿⠛⡮⣕⢬⠑⢶⡋⣿⠄⠙⠻⡁⣿⠋⡄⢱⣦⣸⠀⠃
⠀⠀⠀⠀⠀⠀⠀⠀⢸⣻⣿⡟⠓⠿⣷⣿⠰⣇⡠⣙⠃⠁⠃⠭⠱⣿⢤⢹⡻⡌⠀⢈⣿⡇⠂⠀⠗⢶⣦
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡉⣿⠀⠀⠀⠘⢻⣼⡟⠳⠈⠉⠂⢠⡄⢀⢙⡋⠻⣿⡁⣴⣿⡿⣍⠁⠀⠀⢸⡏
⠀⠀⠀⠀⠀⠀⠀⠀⠰⡇⠙⠢⡤⢠⠇⠀⢹⣿⠀⡄⠫⠑⠄⣠⣾⠁⠠⠈⠀⡙⣿⣟⣵⣾⠀⠀⠀⠎⠠⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⢀⠸⣇⣀⡀⠀⡞⣿⠇⠱⣀⠱⡀⠂⠙⠲⢶⣤⣄⣨⠽⣿⡁
⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠀⠀⠀⠀⠈⠉⠀⠘⠀⠀⠀⠉⠁⠀⠀⠈⠂⠀⠀⠙⠃⠁⠃

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡅⠀⢰⣦⠀⠀⠀⠀⠀⡠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⢃⡤⠈⠥⠀⠀⠀⣀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⠀⠀⠂⠘⠈⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠰⠆⢀⢀⣤⡤⠤⠀⠄⠀⠀⠀⠹⠁
⠀⠀⠀⠀⠀⠀⠀⠀⣈⣀⣤⣤⠤⠴⡶⠒⠶⣄⡚⢾⣍⣽⡟⠁⠀⢀⠄⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⢸⡇⠑⠦⡀⠙⠇⣤⡛⡡⢎⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡿⣶⣤⣀⡀⠻⠙⠉⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣄⢻⣿⣇⣹⢶⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣦⣽⣿⢹⢿⣿
⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⣿⢿⣿⣟⣸⣼⠇⣀⡀
⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⢀⡾⢃⡴⠉⠀⣼⠏⢉⠉⣰⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠁⡼⠁⠀⣰⠏⠠⢿⡄⠿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣃⣰⠀⠀⣼⠋⠠⠆⠀⢹
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡿⣿⣿⣿⠟⠳⠆⢘⡂⢀⡠⠣⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⣿⠀⢿⣇⠁⢱⣸⣧⣿⣿⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡃⠈⠁⢠⠏⠈⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡅⠀⠀⠀⠀⠀⣾⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡈⠁⠀⠀⠰⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡃⠀⠀⠀⠀⠀⢿⣿⣿⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣅⠀⠄⠀⠀⠀⠘⣿⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠰⣦⡶⡻⠦⣆⢶⣻⠀⠠⣴⣶⣶⣤⡿⣾⡀
⠀⠀⠀⠀⠀⠀⣀⣤⣤⣘⢞⣝⢰⣿⣿⣌⡇⢀⠀⠀⠀⠁⠀⠈⠀⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠉⠻⠗⠈

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡆⡄⠀⠸⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⢒⣒⢻⣧⣞⠆⣰⣶⣶
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠿⢥⣿⣏⠀⢰⣾⣶⣿⣿⣿⣿⣷⣦⣤⡤⠤
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠄⣀⣾⣿⣭⣄⣾⣿⣏⠀⠀⠉⡈⠅⢈⠁⠀⠈⠁⠋⠡
⠀⠀⣠⣀⣀⣀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢠⢴⠫⠉⠛⣿⣿⣷⣅⠘⠄⢀⣆⡌⡀⠐⠀⠀⠀⠀⠠
⠀⢠⣿⡟⠛⠛⠛⠼⣦⣀⣠⣤⣶⡴⡤⠴⠿⡿⠤⣿⡗⢊⢉⠉⠃⠀⠈⢻⣽⣷⣼⣷⠿⠟⠊⠁
⠀⢾⡟⠀⠀⠀⠀⠀⠀⠈⠛⠋⢀⣠⣤⣶⣶⣶⣾⣿⣷⣦⣿⣿⣄⣤⣸⡶⠛⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠙⠉⠉⠉⠉

⠀⠀⢸⠀⠀⠀⠀⠀⢠⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣷⠿⢷⣾⣿
⠀⠀⢸⠀⠀⠀⢠⣶⣿⠿⠿⠹⣿⣿⡷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠉⢁⣠⣾⣿⣿
⠀⠀⢸⠀⠀⢠⣾⠋⠁⠀⠀⠶⠿⣿⣿⡄⠀⠀⠀⠀⠈⠉⠐⠀⠀⠀⠀⢶⠀⢶⢂⣦⠴⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣿⠁⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿
⠀⠀⢸⠀⠀⢸⠏⠀⠀⢶⢤⣤⣴⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠸⠉⠀⣁⠠⡶⠤⢬⣟⠠⣶⠀⠀⠀⠀⠀⠛⢻⣯⠀⠀⠀⢀⣴⢿⣿⣿⣿⣿⣿
⠀⠀⠈⠀⠀⢘⡄⠀⢀⡤⠞⠛⠀⢀⢀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠄⣶⣿⠿⣮⣵⠂⠈⣧⡸⣲⠆⠀⢀⣄⠀⢀⣠⣤⠀⠀⢠⣷⣾⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠈⠀⠉⠉⠁⠀⠊⢀⡐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠁⠚⠁⠤⠶⠾⠷⠟⣉⠀⠀⠛⠛⠁⢛⣋⡉⣤⣶⣿⣿⣿⣿⠿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⢢⠀⠀⠀⢀⠴⣯⠁⠀⠀⠀⣀⠺⢢⠀⠲⣶⣶⣦⡄⢩⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣀⡄⢤⠤⣿⠛⣋⣩⣥⣴⣶⠶⠟⠀⢱⠶⠤
⠀⠀⠀⠀⠀⠀⠸⠀⠐⠀⠀⣸⠇⠀⠛⣀⡶⢈⠁⠀⠀⠀⠀⠈⣋⠈⢶⣿⣿⣿⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣬⢷⡌⠠⠄⠤⣤⣶⠾⠯⠛⠙⠿
⠀⠀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠁⠇⠀⠀⠈⠇⢊⡀⠠⣄⠀⠀⠠⢰⠶⣿⣿⡯⠀⠀⠈⠉⠁⠉⠉⠉⠻⡿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠈⠛⠿⣿⣿⣿⣦
⠀⣸⣿⣷⠄⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢠⣄⡙⢂⡀⠀⢐⣿⠏⣷⡿⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣿⣿⣿⣿⣿⣿⣿⡆⠘⢀⠀⢀⣤⡙⣮⡙⣿⣿
⠀⣿⣿⣧⣴⡄⠀⠀⠀⠀⠀⠀⢸⡀⠀⠀⠀⠈⠉⠋⢹⠛⠉⡅⢰⣟⣛⣋⣠⣤⣤⣴⡾⠿⠿⠶⠶⠷⠾⠿⣿⣿⣿⣿⣿⣿⣿⡄⠤⣤⠈⠁⣀⣿⣧⠘⢿
⠀⣾⣿⣁⡈⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⢀⣴⡦⠀⠸⠀⠀⢀⡽⢟⣿⡿⠟⢋⣉⣠⣤⣤⣤⣴⣶⠶⠶⢶⣤⡈⢹⠿⣿⣿⣿⣧⠀⢿⣿⠟⠋⣿⣿⣿⣿
⢰⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⣸⣿⣤⠀⠀⣭⣴⣶⣦⣐⠟⡫⠔⣋⣥⠷⠛⠛⠉⠁⠀⠀⢀⣀⣀⣀⣀⣀⣀⣽⠀⠀⣾⢿⣿⣿⡄⢸⡀⠀⠄⠀⠈⠉⡿
⢤⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠙⠛⢷⡀⣶⣿⠟⠹⠟⣣⡐⣹⠖⠋⠉⠀⢀⣀⠤⠖⠒⠛⢉⣉⣁⣀⣀⣀⣀⠈⠁⠸⣄⣈⣹⣿⣿⡇⠀⣷⠀⠈⡀⠀⠀⣷
⠘⢿⣿⡟⠁⠇⡀⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⢀⣴⣿⡿⣷⣇⣠⠴⠒⠉⣡⣤⢶⣾⠛⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⠀⣿⠀⠀⢇⢀⣴⣿
⡀⠘⡏⠀⢠⡞⠉⠆⠁⠀⠀⠀⠀⠀⠊⢀⣼⣿⡿⣻⣾⣿⣏⢀⢠⡾⠿⢏⣁⢠⣌⣛⠷⣄⠀⠀⠀⠀⢹⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⡇⢀⣼⡿⠛⠉
⣤⣜⠇⠀⣀⠀⠀⣤⣄⠐⠂⠀⠀⠀⠐⡿⢻⣯⣿⣿⣿⣿⡟⢻⣿⣷⣤⠘⣋⠩⠁⠀⣄⠈⢷⠀⠀⡆⠘⣡⣾⣿⣿⣿⣿⣿⣿⡿⠋⣠⣿⣷⠟⠁⣀⣴⣾
⠹⣿⣷⣿⠏⠀⠀⠛⠉⠀⣀⡄⠀⠀⠀⠀⢀⣿⣿⣿⣿⡿⠁⢻⣿⣿⣿⡆⢹⢂⣀⣀⡉⠇⠀⠀⠀⢀⣾⣿⣻⣿⣿⣿⠿⠛⠁⣠⡾⢿⡿⠃⠀⣼⣯⠟⠋
⠀⢹⡿⠁⠀⣀⢠⡄⢀⣼⣿⣿⡃⠀⣠⡄⢸⣿⡿⣽⣿⣷⣀⡑⢿⣿⣿⣧⠈⠉⠉⠁⠀⠀⠀⡀⣰⣿⣷⣿⣿⠟⢋⡤⢞⣡⡾⢋⣴⡟⠀⠀⠸⠋⠁
⠀⢸⡇⠀⠘⣿⣿⢃⣾⣿⣿⠟⡁⣾⣿⡇⡆⠙⢹⣿⣿⣿⠙⣇⣀⠈⠛⠛⠻⠶⠦⠄⠀⠀⠤⠽⠿⠟⠋⢉⣄⣠⣾⡿⠛⢿⣇⣀⡟⠀⠀⠀⢀⣴⣿⠆
⠀⢸⡇⠀⠀⠙⠁⣾⣿⣿⠃⡘⠃⣿⣾⢻⡆⠀⠉⠉⠉⣩⢀⣈⠉⠻⠶⣶⣶⣶⣶⣶⣤⣤⣶⠶⡶⣶⠿⠿⢏⡉⢉⣀⣤⣾⣿⣿⠃⠀⣀⠀⠘⠟⣁
⠀⢸⡇⠀⠀⠀⠀⢿⡿⢁⡀⡤⣄⣸⣻⣀⠃⢠⡆⠀⠀⠁⣤⡙⠂⢤⡖⢸⣿⡿⠸⣿⣦⡟⣿⠇⣿⡟⠸⣿⡿⣿⠿⣿⣿⣿⣿⣟⠀⢠⠁⠀⠀⠀⠁
⠀⢸⡇⠀⠀⠀⠀⣈⠻⠛⠂⠀⠠⣽⣿⣿⡀⢸⡇⠘⠀⣀⡹⡇⣸⢸⡇⠀⣿⡇⠀⢸⣿⡇⠁⠀⣿⡇⠀⢸⡇⣿⣼⣿⣿⣿⣿⡇⠀⠰⠀⣀⣤⣤⣤⡀
⠀⣸⡇⠀⠀⣤⠞⠁⠀⠀⠀⠀⠀⠈⣿⣿⣧⠘⡇⠀⢛⡘⢋⡤⠉⠢⡄⢀⣋⡁⣄⣴⣿⣿⣤⣤⣿⣻⣶⣾⢿⣿⣿⣿⣛⣿⣿⣷⠀⣴⠖⠛⠻⠿⣿⣿⡃
⠀⣿⡇⠀⠀⠟⠀⠀⢀⡀⠀⠀⠀⣴⡈⣿⡏⠆⠹⠀⠈⠙⠋⠀⢀⣴⠀⠂⢤⣤⣴⣶⣶⣤⣤⣤⣤⣤⣶⢶⠾⠛⠻⣼⣿⣤⣍⣿⠄⠀⠀⠀⠀⠀⠀⠙⠿
⠀⣿⡇⠀⠀⠀⠀⢠⡄⠉⢤⣤⠾⣿⣹⣿⣻⢄⢤⡀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠁⠈⠛⡹⠛⠋⠁⠄⠀⣙⢠⣀⢻⣿⣿⣿⠏
⣿⣿⡇⠀⠀⣀⠀⠨⣿⣦⠀⣼⣆⠹⣧⢸⡏⣾⣤⡉⠻⠷⣶⣠⣄⣒⣂⡈⠂⠀⠀⠐⠒⠀⠠⠀⠀⡛⠀⠀⢩⡄⣀⠸⢿⣿⣯⠀⠀⠀⠀⠀⠀⠀⡠⢔⡤
⣿⣿⡇⠀⠀⠈⠛⢶⡌⢙⣆⠈⠛⢤⢻⣄⡷⢸⣿⣷⠀⠀⠀⠠⠤⠬⠽⠒⠚⣛⡷⢊⡤⢠⠶⠄⠠⣭⣭⣷⠆⡈⢻⣿⣾⣿⡇⠀⠀⠀⠀⠀⠀⣀⠐⠁⠐
⣽⣿⡇⠀⠀⠀⠀⠀⢀⠘⢻⡀⠀⠀⠈⠹⣿⣸⣏⡿⢶⣤⡤⠀⠀⡠⣀⠤⠀⣠⡄⡡⠔⠒⠀⣐⠐⠒⠒⣻⣿⣷⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠠⠇⢀⣠⣤
⣿⣿⡁⠀⢄⡀⠀⠀⠛⢷⣄⡀⠀⠀⠀⠀⢹⣿⣅⠀⢠⠟⡡⠊⠿⢋⣥⣤⣾⣬⣿⣿⠷⠿⠟⠛⠛⠻⠿⣿⣿⣿⣿⣿⡿⠋⠙⢷⣄⠀⠀⠀⢀⣴⣿⠟⠉
⣿⣿⡇⠀⠘⣿⢷⣄⡀⠀⢍⡙⢶⣤⣀⡀⠀⢈⢫⡀⠉⣰⡔⠀⢠⠞⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠿⡭⣤⣤⡄⠀⠀⠀⠀⠈⠓⠀⠰⠟⠋⠀⣠⣶
⣿⣿⡟⢢⡀⠉⠻⣿⣿⣷⣦⣈⠳⠮⠍⡿⠀⠈⠿⠀⠀⣿⠁⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡀⠀⠀⠀⠘⠿⡆⠀⠀⠀⠀⠀⣀⣀⣠⣤⣶⣾⣿⣿
⣿⣿⣷⡟⠁⠀⠀⣼⠛⠘⠛⠻⣿⣶⣤⣧⣠⡇⠀⠀⠘⣏⠀⡏⠀⠀⠀⠀⢤⡴⣴⠖⠗⠘⠛⠷⠶⠶⣥⡐⠠⡀⠀⠙⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⢳⡤⣀⠘⠃⠀⠀⢀⣴⠏⠁⠉⢹⣿⣷⣄⠀⣤⠉⠀⠃⢀⡀⠀⠀⠀⠙⠻⠶⣦⣀⣀⣀⣀⣤⡤⠽⠶⠦⠀⠀⠀⣿⠿⠛⠋⠁⢀⣻⣿⣿⣿⣿⣿
⣿⣿⣿⣾⡿⣿⠿⣄⣀⢀⣾⠃⠀⠀⢀⣾⠁⡾⠻⣦⡈⢳⡀⢳⣄⠑⢄⠀⡀⠂⠀⠀⠀⠈⠉⠉⠁⠀⠀⢀⡀⠀⡀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⢿⡏
⣿⣿⣿⣿⣿⣿⢰⣿⠃⣾⠃⣤⣀⠀⣾⠃⠀⠀⠀⠀⠙⠛⣿⣿⣿⣿⣶⣤⣀⣀⡀⠀⠀⠂⠀⠀⢀⣀⣀⣀⣠⣿⣿⣶⣄⡉⢀⣾⣯⣿⣿⣿⣿⡅⡀⠋