Sled Emojis & Symbols

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠀⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠉⢀⠤⠒⠉⢀⠠⠐⠁⢀⣠⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠐⠉⢀⡠⠐⠈⢀⡠⠔⠊⢀⣠⣴⣾⠿⠛⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠊⢁⡠⠔⠊⢁⡠⠔⠊⠁⣀⣴⣾⣿⠟⠉⠀⠀⠀⡠⠶⢷
⠀⠀⠀⠀⠀⠀⠀⠠⠄⢀⣠⠔⠊⢁⡠⠔⠊⠁⡀⠔⠊⠁⣀⣤⣶⡧⠞⠙⣿⣿⣇⣀⣤⣶⣤⠤⠂⠁
⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠇⠉⢸⠃⠀⢤⠆⣁⣀⡤⢶⢿⣿⣿⡇⠀⠀⢀⣹⣿⣿⡿⠟⠋⠁
⠀⠀⠀⠀⠀⣠⣾⡇⠀⠀⢀⣠⣶⣿⡶⠞⠀⠀⠟⠀⠀⠀⣿⣿⣿⣤⣶⣿⡿⠛⠁
⠀⠀⠀⠀⠑⡿⣿⣀⣤⣾⣿⠿⠛⠉⣠⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⠟⠋⠁
⠀⠀⠀⠀⠀⠻⢼⡿⠟⠋⠁⢀⢀⣾⡿⠃⠀⣀⣤⣶⣿⡿⠛⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣷⣴⣾⣿⠿⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁

⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤
⣿⣿⣤⣤⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⡤⠤⢤⣤⣤⣤⣤⠤⠶⠶⠶⢤⣄⣀
⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠉⠀⠀⣀⣠⡤⠶⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠲⠦⣤⣀⣀
⠀⠀⣰⠋⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠋⢀⣠⠴⠖⠋⠉⠀⠀⠀⠀⢀⣀⣀⣠⣤⣤⡤⠤⠤⠴⠶⠶⣶⣶⢶⡶⠛⠉
⠀⢰⠇⠀⣰⠋⠀⠀⠀⣀⡀⠀⠀⠀⠀⢰⡷⠞⠉⠀⠀⠀⠀⠀⢀⡤⠖⠛⠉⠉⠀⠀⠀⠀⣀⣠⡤⠶⢾⠋⠉⠀⣸⣥⣄⣀
⠀⢸⠀⠀⣿⠀⠀⣠⠟⠉⢹⡆⠀⠀⠀⢈⣳⣄⣀⠀⠀⠀⣠⠾⠋⠀⢀⣀⣠⡤⢴⡖⠛⠉⠁⠀⣀⣠⡼⠶⠚⠋⠁⠀⢀⣨⡇
⠀⠸⣆⠀⠘⠲⢴⠇⠀⢠⠿⠶⠖⠚⠋⠉⠉⠀⢉⣉⣹⡿⠿⠟⠛⡟⠉⠁⠀⠀⣾⣀⡤⠶⠚⠋⠉⠀⠀⣀⣠⠴⠖⠛⠉
⠀⠀⠈⠳⢤⣀⣿⠀⠀⣟⣀⣀⣤⠤⠶⠖⠚⠋⠉⠁⠀⠀⠀⣀⣀⣿⠴⠖⠚⠋⠉⠀⠀⣀⣠⡤⠶⠚⠋⠉
⠀⠀⠀⠀⠀⠀⢻⡀⠀⠻⣅⡀⠀⠀⠀⣀⣀⣠⡤⠴⠖⠚⠋⠉⠀⠀⢀⣀⣤⠴⠖⠚⠋⠉
⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠈⠉⠉⠉⠉⠉⠀⠀⠀⣀⣀⣤⠤⠶⠚⠋⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠶⠶⠶⠶⠖⠚⠛⠉⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⠀⠀⠀⠀⠀⠀⢨⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⡠⠐⠂⠁⠀⠀⠐⠠⠀⠀⢸
⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⠃
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠶⠿⠛⠛⠛⠉⠉⢨
⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠸⣿⠿⣿⠃⠀⠀⠀⠠⠀⠀⠂⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⡒⠒⠒⠒⠒⠒⠒⠲⠖⠲⠒⠒⠒⠒⠒⠒⠒⠒⠒
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⡀⠀⠀⠀⢀⣀⡠⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡓⠀⠄⠀⢘⡀⡸⠀⠀⠀⠀⠀⠀⠀⠀⢠⠄⠈⠲⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢶⣄⣨⣁⣀⣤⠦⠚⢲⠀⠠⠀⠀⠐⡏⠀⠀⠜⠂⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠁⠀⠀⠉⠉⠀⠘⢕⡜⠀⢀⠀⠀⠀⠀⢱⠀⢀⠠⠀⠀⢀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠈⡙⡘⠂⠑⠄⡀⠈⠉⠁⠰⠄⠩⠈⠁⠀⡠⠆
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠱⠀⠃⡠⠅⠀⠀⠀⠀⢤⠀⢠⢤⠊⠀⠠⠆⠐
⠀⣀⣠⣤⣴⣶⣶⣶⣷⡀⠀⠀⠀⠀⠀⠀⢀⡀⠀⢠⠐⠊⠀⠀⠀⠀⣆⠀⠀⠈⠀⡆⠀⠀⠐⠂⡀
⠎⢿⣿⣿⣿⣿⣿⣿⣿⠎⠉⠈⠰⢄⠀⠀⡠⠕⠯⠀⠀⠀⠀⠁⠀⠆⠀⠉⠩⠸⠈⠀⠀⠀⢈⠄⣾⣶⣤⣄⡀
⠀⠑⠨⡍⡛⠻⠿⠿⣿⡀⠀⠀⠀⠀⠑⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⣿⣿⣿⡿⠏
⠀⠀⠀⠡⡀⠉⠐⠂⠀⠄⠀⠀⠀⠀⠀⠀⠒⠀⠀⠀⠀⠤⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⢉⡉⢥⠔⠈
⠀⠀⠀⠀⠈⠄⡀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠘⢄⡀⠀⢀⠔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⡠⠃
⠀⠀⠀⠀⠀⠀⠈⠂⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠒⠀⠤⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠄⠐⠂⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣦⣤⣤⣄⣀⣀⢀
⠀⠀⠀⠀⠀⢀⣤⣶⣾⣛⣻⣟⣿⣿⠿⢯⣿⣿⣿⣏⣋⣹⡿⡟⠿⠷⢶⠶⣶⣶⣤⣤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣶⣶⡄
⠀⠀⠀⢠⣀⣿⣿⣯⣭⣭⣍⣟⣿⣿⠿⢿⠿⣿⠶⠿⣭⣭⣽⣿⣿⣷⣶⠷⣮⠥⠬⢭⣽⣩⠽⠿⠿⠿⣿⣷⣶⣶⣦⣤⣄⣤⣴⣿⡿⠟
⠀⠀⠀⠈⠛⠛⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣤⣤⣤⣀⣀⣈⡉⠉⠀⠚⢃⣤⠤⣤⡬⢭⣿⣶⣶⣶⣲⣞⣻⠿⢿⣭⣿⣿⠿⠃
⠀⠀⠀⠀⠀⠀⣼⢿⣯⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠿⠿⣾⣿⣿⣿⣽⣿⣛⣋⣽⠏⣀⡈⢷⣄⠀⠀⠀⠀⢀⡤⢛⣵⣿⣿⡿⠃
⠀⣀⣀⣀⠀⣼⠏⠀⢻⣇⢀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⣻⣿⣿⡏⠉⠉⠉⠛⠛⠻⠷⠾⢿⣿⣩⡤⣠⣔⣵⣾⣿⣿⣋⣡⡤⠶
⠈⠉⠛⠛⠳⠿⢿⣾⣶⣽⣫⣉⣉⡡⠄⠛⠛⠉⠁⠀⣰⡟⠈⢿⡇⠀⠁⠀⠀⠀⠀⠀⠀⠀⠘⠷⠾⣿⡿⠛⠃⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠿⠿⢷⣶⣦⣤⢴⣿⣤⣤⠼⣿⡖⠒⣒⣓⠛⠂⠀⠀⠀⢀⣠⣾⠟⠁⠀⠀⠀⠰⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠟⠿⠿⣿⣿⣶⣴⣴⣶⣶⡶⠿⠛⢉⣀⣀⣤⠞⠛⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠁

⠀⠀⠀⠀⠀⢀⣠⡤⠶⠒⠛⠛⠉⠛⠛⠓⠶⢤⣀
⠀⠀⣀⡴⠚⢉⡠⠤⠐⠂⠈⠉⠉⠉⠀⠐⠀⠄⡈⠙⠲⣄
⠀⠀⢷⠔⠊⠁⠀⠠⡄⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠑⠦⡈⠙⢦⡀
⠀⠀⠘⣇⠀⠀⡤⠣⢔⠥⠆⠀⢀⠎⠘⠄⠀⠀⠀⠀⠀⠈⠢⡀⠱⣄
⠀⠀⠀⢹⡄⠀⠀⠁⠇⠁⠀⢠⠃⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠈⢆⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣄⣀
⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⢉⠃⠀⠀⠘⡉⢀⠀⠀⠀⢀⣂⠀⠀⠣⡀⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠉⣁⣀⣀⣠⡏
⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠠⠇⠀⣀⣀⠀⢈⠄⠄⠀⠈⠙⠋⠈⠀⠀⠱⡀⠹⣤⣤⣤⣤⣤⣤⣤⡴⠋⢀⠔⠉⠀⠀⢀⡞
⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠐⠂⠀⠀⠒⠈⠀⠀⠀⠀⠀⠀⠀⠀⠱⠄⠀⠀⠠⠀⠀⠀⠀⠠⠠⠁⠀⠀⠀⠀⡼⠁
⠀⠀⠀⠀⠀⠀⢳⠀⠐⠂⢀⡀⠀⠂⠀⢀⠀⠀⠒⠀⣀⠀⠒⠀⣀⠀⠠⠀⠀⡀⠀⠐⠀⢀⡀⠐⠂⢀⡀⠀⠂⠀⣸⠃⠀⣠⠤⣤⣀
⠀⠀⠀⠀⠀⠀⠈⣇⠐⠂⠀⠀⠀⠒⠀⠈⠀⠀⠂⠀⠀⠀⠒⠀⠈⠀⠐⠂⠀⠁⠀⠐⠂⠈⠀⠐⠂⠀⠁⠐⠂⢠⠇⠀⡎⡔⡢⠈⠂⠂
⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠛⡟⢛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠟⠻⡛⠛⠛⠋⠀⠀⠈⠒⠊⢀⠆⡄
⠀⠀⠀⠀⡤⠤⠤⠤⠤⠤⠤⠊⠠⠧⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠤⠬⠦⠘⠤⠤⠤⠤⠤⠤⠤⠐⢁⠔
⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉

⠀⠀⡜⠳⣄⠀⠀⡏⠁⡲⢀⡴⢆
⠀⢼⣀⣀⡈⠳⣄⣡⣼⣴⣋⣀⢈⣇⣀⣀⠀⠀⠀⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⠉⢉⡯⡤⢼⠛⠶⢟⡛⠋⠉⠉⣧⠀⠀⠀⠀⠀⡴⠃⠘⣄⠀⠀⠀⢀⡴⢆
⠀⣠⡤⢶⣞⡁⡰⡇⠀⠱⣄⣺⠉⠁⢀⣀⣼⠆⢰⡶⢤⣌⣑⣢⣄⡘⣦⣀⡴⢛⣹⠌⡆
⠀⢻⠀⠀⠀⡷⠁⠸⠀⠀⢣⡽⠶⠛⠉⠁⠘⣧⣸⠀⠀⠀⠈⠉⠙⡟⠳⠾⣿⣭⣉⣉⠁
⠀⢸⡇⢀⣀⣥⠴⠞⣇⠀⠀⢆⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⡇⠀⢠⠃⠀⠀⠉⠉⠛⣶
⠀⠀⠛⢻⠉⠀⠀⠀⠸⡀⠀⠘⣄⠀⠀⠀⠀⠀⠘⣧⡀⠀⠀⠀⢠⠃⠀⢸⠀⠀⠀⠀⠀⢠⡇
⠀⠀⠀⢸⣇⣠⡤⠶⠚⠛⠋⠉⠉⠉⠙⠛⠳⠶⢤⣘⣯⠙⠛⠓⢺⠀⠀⡧⣤⣤⣄⣀⣀⣸⠃
⠀⣠⡴⠞⠉⣁⡠⠤⠐⠒⠊⠉⠉⠉⠐⠒⠠⠄⣀⠈⠙⠷⣄⡀⡎⠀⢠⠁⠀⠀⠈⢉⡟⠉⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⡠⣄
⢿⣁⡤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⣄⠈⠛⢧⡀⣸⠀⠀⠀⠀⣸⠇⠀⠀⠀⡠⠋⠀⠱⣄⢸⠉⡟⡴⠑⠈⢢⡀
⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⡀⠙⢧⡀⠀⠀⠀⣿⠀⠀⠀⠀⠉⠒⠲⢤⣌⣶⣶⡿⣡⠤⠚⠉
⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⠈⠻⣄⠀⢰⡗⠖⠒⠒⠒⠒⠒⠒⠶⠲⠛⠳⠛⠷⠖⠲⢲⡆
⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠙⣦⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⣤⠴⠶⠷⠶⢦⡄
⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣄⠈⢿⡋⠋⠋⠉⠉⢩⢍⠉⠉⠉⢉⡽⠛⠉⢀⡠⠤⠤⢤⡾
⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⠈⢷⣤⣤⣤⣤⣤⣥⣤⣤⣾⠏⠀⡴⠊⠁⠀⠀⠀⣼⠁
⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢆⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⠎⠀⠀⠀⠀⠀⣸⠃
⠀⠀⠀⠀⠈⣧⠀⠠⡄⡄⠠⠠⡀⠀⡠⢄⠠⡀⠀⠠⢠⠀⡠⡠⠀⢀⣀⡀⡀⠠⡠⡀⢠⠀⠀⠀⡀⣀⠀⡀⠀⡠⢤⠀⠠⡄⠀⢰⠏⠀⠀⣀⣀⣀
⠀⠀⠀⠀⠀⠸⡆⠀⡠⡹⠀⠄⡧⠀⠢⡀⡀⠂⠀⠇⠄⠨⡧⡀⠀⠢⡈⢀⠄⠀⠠⡥⢀⠈⠇⠀⢂⠀⡠⠃⠨⠇⡀⢸⠈⠀⢀⡟⠀⢠⢊⡩⣉⠙⡝
⠀⠀⠀⠀⠀⠀⢻⣤⣭⣤⣤⣥⣤⣤⣤⣤⣤⣤⣤⣬⣭⣤⣤⣥⣤⣤⣬⣥⣤⣬⣥⣤⣬⣬⣤⣤⣤⣬⣤⣤⣤⣤⣥⣤⣭⣥⡾⠁⠀⠸⣘⢶⡺⠀⡰
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠃⣠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢁
⠀⠀⢰⠒⠒⠒⠒⠒⠒⠒⠚⠁⠘⠓⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠓⠀⠑⠒⠒⠒⠒⠒⠒⠒⠚⣁⡤⠊

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢨⡰⣤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡂⠀⢈⠵⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠸⣇⠀⢄⡚
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⠁⢀⠈⠈⠉⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⠀⠀⠀⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠄⠀⠀⢀⡀⠀⠀⠀⠀⢸⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⢂⠉⠉⠙⠒⠠⡀⠀⠀⠀⡎
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠂⠀⢀⡀⠙⠶⠶⢚⣦⣡⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠠⣤⠏⠀⠀⠔⠋⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣄⢿⡁⠀⡌⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢳⡞⠀⠀⠰⠄⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⣀⠴⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡭⠀⠀⠀⠀⠰⠠⠀⢸⡆⠀⠀⠀⡀⢀⡈⠁⢸⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠
⠀⠀⠐⠒⢦⡀⢀⣠⣤⠖⠃⠐⠳⢁⠀⠀⠀⢠⠀⠀⠠⡄⠀⡠⠐⠡⠐⠉⠀⢠⠏⠀⠀⠀⠀⠀⠀⢀⠔⠉
⢠⡆⠑⠀⠈⡉⢯⠊⠀⠁⠀⠀⠀⠀⠑⢄⠀⢸⠉⠙⢲⠋⠀⠀⠀⠀⠀⣠⠔⠁⠀⠀⠀⠀⠀⢀⠔⠁
⠀⠑⢽⣂⠀⠈⠈⠀⠀⢀⡟⠃⠀⠀⠀⠈⣩⠽⠀⡴⡼⠁⠀⠀⢀⡴⠊⠁⠀⠀⠀⠀⠀⢀⡠⠊
⠀⠀⠀⠈⠳⡤⢦⢀⠞⠁⠐⢬⣢⡀⠀⠈⠀⠈⠑⠖⠁⢀⡤⠚⠁⠀⠀⠀⠀⠀⠀⢀⠔⠋
⠀⠀⠀⠀⠀⠳⠴⠋⠀⢀⡤⠒⡁⠐⠀⠀⠀⠀⢀⡠⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁
⠀⠀⠀⠀⠀⠀⣀⠔⢊⠡⠒⠁⠀⠀⠀⠀⡠⠖⠉⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⢋⣠⣤⠄
⠀⠀⠀⠠⠔⢊⡴⠆⠀⠀⠀⠀⠀⡠⠔⠉⠀⠀⠀⠀⠀⢀⠠⠒⠊⠁⠀⣠⣾⣛⣿⠏
⡤⠀⣀⣴⡞⠏⠀⠀⠀⣀⠤⠒⠁⠀⠀⠀⠀⠀⠀⣀⠄⠀⠀⢀⣤⣶⡟⠉⠉
⠈⠉⠉⠉⠉⠀⠂⠉⠉⠀⠀⠀⠀⠀⠀⠀⣀⠤⠚⠁⢠⣤⣶⣿⣿⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠊⠀⢠⣤⣾⠿⠛⠛⠉
⠀⠀⠀⠀⠀⠀⢀⡀⠠⠤⠤⠔⠚⠁⠀⣠⣾⠟⠋
⠀⠀⠀⠠⠂⠉⠀⠀⠀⠀⠀⠀⢀⣤⣾⠿⠋⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠋⠙⠲⠤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠋⠙⠲⢤⣀⠀⠀⠀⠙⠲⢤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠚⠛⠦⣀⠀⠀⠀⠀⠈⠙⠲⢤⣀⠀⠀⠈⠉⠓⠦⢄⣀
⠀⠀⠀⠀⠀⠀⢀⡠⠔⠺⢥⡀⠀⠀⠀⠈⠙⠲⠤⣀⠀⠀⠀⠀⠈⠙⠲⢤⣀⠀⠀⠀⠈⠉⠒⠤⣄⣀
⠀⠀⠀⠀⢠⣾⡁⠀⠀⠀⠀⠈⠓⢤⣀⠀⠀⠀⠀⠀⠙⠲⣄⡀⠀⠀⠀⠀⠈⠑⠢⢤⣀⠀⠀⠀⠀⢈⣩⣶
⠀⠀⠀⠀⠀⠙⢫⣗⡦⣀⠀⠀⠀⠀⠈⠙⠲⢤⡀⠀⠀⠀⠀⠉⠓⠦⣄⠀⠀⠀⠀⠀⠈⠙⢢⣤⢔⡫⠖⠉⠀⠀⠀⣀⣀⣀⣀⡀
⠀⠀⠀⣠⢤⡀⢸⠀⡏⠚⣽⡢⢄⡀⠀⠀⠀⠀⠈⠓⠦⣀⠀⠀⠀⠀⠀⠙⠲⢄⡀⠀⡠⢖⡫⠟⠉⡇⠀⠀⠀⣴⣋⡉⠀⠈⠉⠛⢷⣦
⠀⠀⠀⢇⡙⠿⣾⢠⡇⣰⠃⠈⠑⠯⣓⢤⣀⠀⠀⠀⠀⠈⠙⠢⣄⠀⠀⠀⠀⣠⢽⡿⠖⠯⣄⣀⠴⣧⣄⣠⠴⢋⣴⣃⡴⠚⠓⢦⡀⢻⣧
⠀⠀⠀⠀⠉⠲⢌⡘⢿⡳⣄⠀⠀⠀⠀⠙⠺⢝⡲⢄⡀⠀⠀⠀⠈⠙⣦⣔⡫⠞⠉⠀⠀⠀⠀⠉⣲⠼⢋⡥⣾⣁⠈⠁⠀⠀⠀⠀⡇⠀⣿
⠀⠀⠀⠀⠀⠀⠀⠉⠲⣌⠓⢽⡢⣀⠀⠀⠀⠀⠉⢲⢭⡲⢤⣠⢔⣫⠞⠉⠀⠀⠀⠀⠀⣀⡴⢊⡥⠚⠉⠲⢌⡙⠻⢶⣤⣄⣠⡴⠃⢠⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣍⠺⢕⣦⣀⠀⠀⢸⢸⠉⠓⠗⣻⠁⠀⣀⣀⣀⣀⡴⢊⡥⠞⠁⠀⠀⠀⠀⠀⠉⠓⠦⢤⣭⡤⠤⠖⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⣍⠻⢷⣤⣸⢸⠀⠀⢠⠇⢰⠋⠁⠀⠀⠉⠛⢿⣦⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠦⣉⠻⠈⣇⡴⠋⠀⠸⣄⠀⣀⡤⠤⢄⡀⠹⡽⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⡙⢮⡳⢄⡀⠈⠉⠁⠀⠀⠀⠙⡄⠹⣽⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢌⠳⢝⡢⣄⠀⠀⠀⠀⠀⢸⠀⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣉⠳⢽⣶⣤⣀⣠⠎⢀⡿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣄⣈⣉⣀⡤⠟⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠤⡖⢈⠁⠀⠁⠢⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡤⠐⠂⠑⠏⡢⡀⠀⠀⠑⠅⡠⡀⠀⠀⠑⠄⡀
⠀⠀⠀⢀⡀⠀⠀⠀⠀⢀⡀⠠⠐⠴⡪⡁⠀⠈⠑⠕⡤⡀⠀⠈⠒⢕⠤⡀⠀⠈⠚⢕⠄⡀⠀⠈⡢⡄
⠀⠀⠀⠈⢁⠀⠀⡀⠤⢺⣕⠄⡀⠀⠈⠚⢔⢄⠀⠀⠈⠚⢖⢄⠀⠀⠈⠪⢀⢄⡀⠤⠘⡮⣏⡥⠖⠛
⠀⠀⠀⠘⡈⢡⠒⠀⠁⠀⠀⠁⠪⡒⢄⠀⠀⠉⠪⢢⢄⠀⠀⣉⢭⣢⢐⣀⡩⠿⠖⠚⠉⠉⡈⡄
⠀⠀⠀⠀⠈⠢⣁⠂⠄⠀⢀⣤⠀⠀⠓⢍⡢⣀⠠⠀⣳⢽⡤⠴⠺⡚⠍⠀⠀⠀⠀⠀⠀⠀⢁⣁⠀⠤⠄
⠀⠀⠀⠀⠀⠀⠀⠉⠐⠒⠲⠘⣒⠠⠅⢑⠨⠟⠚⠉⠉⠀⠀⠀⠀⠠⠀⠀⠀⢀⡀⠤⠐⠂⣉⠤⠀⠒⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠐⢎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠰⠜⠂⣈⠠⠄⠒⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠢⣁⡀⠀⠀⠀⠀⠀⢀⣁⠠⠄⠒⠊⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠈⠉

⠀⠀⣠⣤⣄
⠀⣰⢫⠛⢿⣄⡀
⢀⢷⡎⠀⢊⢆⠙⠷⣤⣀⡀
⢸⠀⢧⣦⠀⠂⢳⣤⡀⠈⠉⠙⠛⠒⠲⠶⠦⠤⠤⢤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⢀⡀⣀⡀
⠈⡆⢆⠑⢤⣠⡞⡼⢿⣬⣉⡀⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠦⣄⡀⠀⠀⠀⠀⠉⠓⢦⡀
⠀⠘⣎⠂⠀⡿⠸⠀⣏⢷⣌⡙⠛⠲⠶⠤⠤⠤⠶⠶⠶⠶⠶⠶⠤⣤⣀⠀⠈⠙⢶⣄⠀⠀⠀⠀⠀⠙⢆
⠀⠀⠈⠳⢼⡗⣇⢠⡘⠢⡻⢽⣦⣤⢤⠀⠀⢠⡤⠀⠀⣠⠒⢤⢦⣤⡙⣷⡴⠂⠂⠻⣷⠒⢶⡒⢶⣖⠛
⠀⠀⠀⠀⠀⣯⢰⠐⠂⠈⠉⠑⢾⣏⡧⠽⠶⠿⠿⠿⠿⠿⠿⠿⠿⣿⡿⠿⣿⠿⠿⠿⣿⠖⠒⢒⣾⡿⠓⠛
⠀⠀⠀⠀⠀⠸⣆⢆⠀⠀⠀⠀⠨⢁⠈⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀⠃⡇⠀⠻⣦⡀⣰⠇⣠⠖⠁⠐⡡
⠀⠀⠀⠀⠀⠀⠘⢦⡓⢄⠀⠀⠀⣸⠀⠀⠀⠈⠓⢤⡀⠀⠀⠀⠀⢸⡄⠀⠀⠈⢉⡡⠊⠁⠀⠀⠀⠆
⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢥⣂⠤⢧⠄⠀⠀⠀⠀⠀⠈⠑⠤⠀⠀⠸⠧⠀⠤⠴⠉⠠⠤⠤⣤⣤⣄⣧⣄⣀⣀⣐⣢

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢄⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠁⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠠⠀⣿⡥⠤⢤⣀⣀⠀⠀⠀⠀⢠⠎⠀⠀⠈⠀⠄
⠐⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠠⠀⠀⠉⠐⠀⠀⠀⢀⡥⠖⠒⠛⠓⠒⠲⠶⣬⡙⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠈
⠄⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣋⡤⠤⠤⣄⡀⠀⠀⠆⡜⠙⢦⣹⡄⠀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠒⠤⢄⣀⡀⠀⠀⢀⡾⠑⠒⠀⠀⠀⠹⠳⢦⡈⠀⠀⠀⠹⣯⠈⠉⠀⠀⡠⢀
⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠋⠀⠷⠀⠀⠀⢀⠈⠣⠱⡀⠀⠀⠀⡧⢜⡀⣀⠴⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠀⠀⠁⠀⠀⢰⠃⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⠀⠈⠒⠤⢤⠄⠀⠀⠀⠀⢸⣦⣐⣁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠀⠒⠒⠉⠀⠀⠀⢀⡀⠋⢁⣀⡼⠇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢦⡤⠴⠶⠚⠋⠁⠉⠲⡀⠁⠀⠂⠀⠀⠀⠠⠐⠀⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣂⠀⠀⠒⠠⢖⡂⠀⠀⠀⠀⠀⠘⠄⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠞⠉⢀⠖⠀⠄⢀⡨⢅⣠⣇⠀⠀⠀⢺
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠊⠀⢀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇
⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⢠⡤⠄⢤⠤⠖⠊⠁⠀⠀⠐⠛⠲⠤⠵⠄⠠⢄⡄⠀⠀⠀⠀⠀⢀⢼⠇
⠀⠀⠀⠀⠀⣀⠤⠊⠀⠀⠀⠀⡾⠀⠀⠀⡉⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠶⠶⠚⠉⢸
⠄⠒⠒⠂⠉⠁⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠉⠱⣄⠔⠛⠲⡒⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇
⠀⠀⠀⠀⠀⢠⠖⢓⡶⡀⠀⢰⠃⠀⠀⠀⠀⠀⠙⠀⠀⠀⡅⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⣛⣶⢦
⠀⠀⠀⠀⢸⠃⢠⣏⡼⠁⢰⢧⡀⢀⣸⡴⠶⠚⡛⠀⠀⣰⠃⢸⠀⠀⠀⠀⠀⠀⣀⣀⣤⡶⠿⣛⣫⢕⡒⠉
⠀⠀⠀⠀⠸⡀⠑⣻⣅⡀⠈⠲⢬⡹⠶⢦⡄⠰⡇⠀⢠⣇⣤⠿⠶⠖⣚⣻⠿⢟⡫⠭⠔⢚⡟⠉⠘⠋⣹⠂
⠀⠀⠀⠀⠀⠙⠠⢈⠻⣿⣦⡄⠾⠀⡴⣯⣉⠂⢀⣚⣋⣉⠤⢶⣚⣭⠕⠒⣉⡥⠴⣒⡫⣕⣠⠴⠖⠋⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⢠⠐⡂⠀⠉⠢⠿⠵⠒⣙⢉⠡⣗⡪⠭⢒⣩⡵⠖⠋⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢄⣦⠙⠣⢖⣒⣒⡊⠥⠗⣊⣠⠤⠖⠚⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⠶⠶⠶⠖⠛⠋⠉

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⣦⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⠿⠛⠋⠐⠒⠒⠒⠒⠒⠒⠶⠶⠾⠿⠿⠯⠭⠭⠭⠭⠭⢭⣭⣭⣭⣭⣛⣷⣤⣄⣀⣀⣤⣤⡤⠞⢻⠉⢸⣿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢯⡉⠉⠉⠀⠀⢀⡾⠀⢸⠀⠘⣆
⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⣤⣤⣶⡾⢿⡇⠀⡿⠀⠀⢹⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠉⠉⠀⠀⢸⠁⢰⠇⠀⠀⠀⡇
⠀⠀⠀⠀⠀⢀⣀⣀⣀⣹⡶⠶⠤⠤⠤⠤⣤⣤⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀⢠⡏⠀⡞⠀⠀⠀⠀⣷
⠀⠀⠀⣠⡾⠟⠛⠛⠋⠛⡿⠻⢿⠿⠶⠶⢶⣶⣶⣦⣤⣬⣭⣭⣭⣭⣭⣉⣛⣓⣒⣒⠒⠒⠶⠦⣤⣶⢖⣋⣁⣀⣀⣤⣤⣴⣭⣷⣾⡁⠀⠀⠀⠀⡿
⠀⠀⠀⠻⢶⣶⣤⣤⣤⣴⣅⣀⣘⣷⣄⡀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠛⣻⠛⢻⣿⠛⠛⠛⠛⠛⠛⠛⠋⠉⠉⠀⠈⣹⠟⠛⢯⡀⠀⠀⢰⠇
⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠙⠛⠛⠛⠛⠛⠻⠿⠿⠿⠷⠶⣶⣶⣶⣶⣶⣶⣶⣾⣥⣤⣀⣹⣷⣄⣀⡀⢀⣀⣀⣀⣤⣤⡶⠛⠁⠀⠀⠀⠙⠲⣤⠏
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⣠⠴⠋⠳⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠁⠀⠀⠀⡷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠚⠉⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠙⠒⠒⠶⠶⠶⠶⠦⠤⣄⣀⣀⣀⣀⣤⠤⠴⠖⠒⠋⠉⠀⠀⠀⠀⣀⡤⠞⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⠤⠶⠒⠛⠉⠉⠛⠒⠒⠶⠶⠶⠶⠖⠒⠛⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠒⠒⠒⠒⠒⠒⠒⠒⠒⠚⠛⠋⠉⠉⠉⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⢀⡀
⠀⠀⠀⠀⠀⠄⢈⡲⣄⢤⣔⠁⣠⣀⣀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⢀⣀⡤⢳⠚⢍⠻⠍⠀⢘⡄⣀⣀⠰⠁⠱⡀⢀⡤⡀
⠀⠀⠀⠀⠀⡇⠈⠱⠀⡀⠈⡥⠖⠚⠉⢧⡏⠈⠉⠙⠻⠻⠿⢮⣁⣁
⠀⠀⠀⠀⠀⠳⣤⠒⠋⠁⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠈⡽
⠀⠀⠀⠀⠀⠀⢸⣤⠴⠒⠓⠛⠛⠛⠒⠲⢬⣿⠓⠒⠆⠠⠤⠤⣤⣠⡇
⠀⠀⠀⠀⣴⠚⠡⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⢈⠑⢦⡀⠀⠀⠀⢠⠇⠀⠀⠐⠢⡀⠄⠄⡐⠢⡀
⠀⠀⠀⠀⠸⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⠙⢧⡀⠀⣸⠀⠀⠈⠀⠂⢜⣦⣞⡄⠂⠁
⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⠱⣄⡏⠉⠉⠉⠉⠉⠉⠉⠉⢉⣉⣷⣄⡀
⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠘⣏⠛⠉⠉⠉⠉⢉⡽⠋⡁⠄⠀⢰⠃
⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠈⠉⠉⠉⠉⠉⠉⠠⠊⠀⠀⢀⠏
⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⡀⠀⡀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠠⠀⠀⠀⠀⠀⠀⡞⠀⡠⢤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⢧⣀⣀⣀⣀⣀⣀⣀⣈⣀⣀⣂⣀⣀⣀⣐⣀⣀⣀⣀⣀⣀⣈⣀⣈⣂⡼⠀⢀⠀⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⡐⢄
⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠉⠉⠁⠂⠤⠒⠊⠉⠉⠐⠢⢄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠀⠔⠙⢄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠀⣀⠀⣙⠢⢵⠬⠂⠀⠀⠀⠀⠀⠀⡜⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⣀⠁⢀⠈⠀⠀⠑⠠⠤⠄⠂⠒⢄⠔
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⠀⠀⠀⠀⢀⡀⠀⠀⠀⠉⠀⢸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠈⠐⠀⠀⠀⠀⠀⠀⠀⠀⢐⠒⢖⠁⠀⠄⠠⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠐⠀⠀⠀⢀⠎⠀⠀⠐⠂⠀⠀⠀⠀⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⠦⢄⠀⠀⠀⣤⢤⡖⡛⠀⠀⠀⠀⠢⢀⠀⠀⠀⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠠⣌⠀⠐⢒⢂⡩⡤⡇⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡔⢙⠶⢦⣤⣀⣩⣄⣠⡿⠿
⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⢀⢋⢖⠟⠁⠈⠉⠉⠀⠀⠀⢣
⠀⠀⠀⠀⠀⠄⠀⠈⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠎⡱⠣⠎⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆
⠀⠀⠀⠀⠀⡆⠀⡠⠀⠈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢋⠁⠶⢀⡜⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣
⠀⠀⠀⠀⠀⢰⠀⢈⠀⠄⠀⢩⠉⠩⠙⠁⠈⢂⠈⠉⠁⠈⠳⢄⡜⠑⠚⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢈⡄⠀⣀⣀⡀
⠀⠀⠀⠀⠀⣘⠀⢨⠀⠐⠀⠈⠆⢀⠤⠤⡤⠾⢀⠀⠀⠀⠀⠀⠐⠁⢰⣐⠖⠀⠀⠀⠀⢀⠄⠀⠤⠚⠀⠀⠀⠀⠀⠉⠉⠐⠢
⢀⡤⠒⠈⠉⠘⡁⢸⠀⠀⠀⠀⠀⠘⠘⠀⠃⠀⠈⠀⠀⠀⠀⠀⠀⠀⠘⠨⡲⢄⠀⣀⠔⠁⠈⠈⠈⢱⠀⠀⠀⠀⠀⠀⠀⠀⢀
⢇⠀⠀⠀⠀⠀⡆⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠀⢠⠂⠈⠀⠀⠀⠀⠀⡻⠁⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⣀⠠⡴⠊⠁
⠀⠉⠲⡤⢀⣀⠁⠀⠃⠐⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠸⠄⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⣀⡀⠠⠤⠐⠒⠈⠁⠀⡰⠁
⠀⠀⠀⠙⢄⠀⠈⠉⠐⠒⠒⠒⠂⠠⠤⠤⠤⠤⠤⠤⠤⠤⠴⣄⠀⠀⠀⣀⠞⠐⠂⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊
⠀⠀⠀⠀⠀⠙⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠊
⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀⠤⠒⠉

⠀⠀⢀⣠⣤⠄⠀⣠⡀⢀⠀⢈⠀⠀⢿⡘⡋⡛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠈⠁
⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⡀⣸⣇⣇⡶⣆⠀⠀⠂⠉⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⡿⣽⠁⠟⠋⢁⣠⡀⠀⢠⡶⢁⡌⠀⠀⠀⠀⢀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠈⠉⠀⠀⠀⠀⠀⠀⠈⠉⠷⠈⠀⢀⣾⡷⠖⠖⠒⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣶⡴⡞⠉⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⢠⢤⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⢀⡀⠀⠀⠀⠀⠀⡾⣸⡅⠀⡴⢄⡄⢀
⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⣀⣤⣿⣿⣟⣀⣀⠀⠀⢰⢶⠋⠈⠀⠀⠀⠐⠋
⠀⠀⠀⠀⠀⠀⠀⣈⢷⣦⣼⣟⡻⢿⣽⣿⠿⡿⣿⠠⢴⢅⠔⠊
⠀⠀⠀⠀⠀⠀⠀⠹⣤⣌⠉⣿⣿⡿⠏⡀⠻⣎⣁⠖⠛⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⢷⡟⢻⣂⣼⠿⠟⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠂⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠛⢻⣷⣶⢦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡩⡇⠀⡀⠉⠙⢻⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⠈⠈⡁⠀⠒⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠄⢠⡀⡀⠈⡅⠫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆⠀⢳⣭⠟⠑⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠦⠤⠴⢄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠠⠶⠚⠐⠳⣄⢈⣄⠀⢀⣔⡡⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⡄⠠⠀⠀⠡⡀⠀⠀⠀⠄
⠀⠀⠀⠀⠀⠀⠀⠀⣒⠂⠀⢠⠄⣤⠠⢤⣄⠺⠉⠙⠉⠉⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠰⢶⣒⡴⠃⣤⣇⡠⠖⠈
⠀⠀⠀⠀⠀⠀⠀⠈⢭⣄⣠⠃⠀⠀⠀⠀⠹⠃⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢴⠛⠂⢢⡀⠀⠀⠀⠀⠀⠀⠠⠠⣤⠵⠮⡭⢀⡜⡯⠍⠠⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣏⠀⠐⢀⢘⣀⠐⡂⠀⠀⠀⠀⢘⣤⣴⠁⡈⠀⠀⠀⡀⠀⠀⠀⡀⠀⠀⠀⠄⠀⠀⠀⠠⢀⠈⠉⠃⠉⠉⠁⠀⠀⠘⡆
⠀⡀⠃⣀⠀⢀⠦⠀⣦⡸⡤⡀⠙⢬⣽⠃⡘⢀⠔⢢⠀⡐⠻⠁⣿⠦⠁⡦⠀⠀⡟⢢⠟⠀⢹⠂⢀⡀⠠⠀⣄⢂⣱⢏⠄⠀⠀⠀⠀⠀⠀⢠⠀⢸
⢀⠕⡒⠆⠀⠀⠀⠀⢟⠀⢀⡛⠂⠄⠁⣾⠁⠈⠠⣿⠀⠀⠘⠂⠀⠀⠠⠁⠀⢸⡀⠢⡤⠌⠳⠆⠁⠈⠻⢀⣉⢍⠽⠃⢤⡀⠀⠀⠀⠀⠀⠘⠀⠈⡇
⠀⠪⠍⠤⡀⠀⢇⣜⡉⠉⠁⠀⠀⠐⠒⠹⠀⣼⢍⠀⣃⠀⠀⠀⠀⠀⠀⠀⠀⠈⣹⠏⠀⠇⠈⠀⠀⠀⣠⠞⢁⠦⠀⢿⠀⠰⡄⠀⠀⠀⢀⣿⣥⣔⡻
⠀⠀⠀⠀⠀⡀⠈⠁⢙⡆⠀⠀⠀⠀⠀⠈⠒⣛⠛⡇⠀⠀⠀⠀⠀⠀⠀⣤⣤⣸⣃⡰⠀⠀⠀⠀⠐⠺⣷⣶⣶⣶⣶⣶⣶⣶⣾⢒⠀⣀⠞⠓⢮⠙⣿
⠀⠀⠀⠀⠀⠘⣄⡠⣾⠓⠃⠀⠀⠀⢀⠀⠀⡟⠿⢿⣤⠀⠀⠀⣤⠁⠀⠉⠉⠉⠉⠻⣄⠀⠀⠀⠀⢠⠿⢻⡿⣿⣿⣿⠿⠛⠋⠈⠁⠀⢀⣠⠞⠐⠁
⠀⠀⠀⠀⠠⠤⠂⠀⠚⠀⠠⠄⡄⠤⠶⣆⠰⠗⡲⠿⠟⠀⠸⣿⠏⠀⠀⠀⠀⠀⠀⠀⣠⠄⠄⠀⢤⠘⠆⠞⣰⢟⣿⣿⣿⣀⣀⠴⠶⠿⠑⠛
⠀⠀⠀⠀⢀⠀⠀⠀⢠⡄⠀⡠⢱⠚⠳⠌⠀⠸⠱⠀⠹⠀⠸⢿⣅⠀⠀⠀⠀⠀⠀⠀⣿⠡⡀⠀⠠⠔⠀⠀⢀⠋⠝⠀⠀⠈⠣⠀⠀⠀⠀⠀⡁
⠀⠀⠁⠀⠈⠀⠀⠀⢹⠀⠀⠀⡚⡯⣥⠤⡀⠀⠀⠀⢒⠗⠀⠈⠿⣤⠀⠀⠀⠀⢀⣼⡃⢂⡙⡄⠀⡔⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠐
⠠⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⢰⣶⠤⠬⠿⠫⢦⡀⠈⣲⠆⠠⣀⡁⠺⠿⠷⠶⠶⡿⢉⠠⢠⠆⢸⠎⠀⡐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆
⠀⠀⠀⠀⠀⢀⠀⢀⡇⠀⠀⠉⠙⠐⠊⠀⠐⠂⠘⢶⣟⠀⠀⣿⣿⣿⣷⣷⣾⣿⣿⣿⣿⣿⠀⠰⣀⠞⡀⢤
⡇⡀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠐⠀⠀⠂⠀⠀⢿⣿⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠀⠀⠈⠀⢘⠁⠀⠀⠀⠂⠀⠀⠀⢀⡀⠀⠀⠀⠀⠤⠤⠐
⠠⣀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠁⠁⠀⠀⠀⠀⠀⠀⢈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⠀⠀⠉⠛⠉⠙⡛⠛⠛⠛⠛⠛⠛⠛⢛⣉⠉⢉⡉⡉⠉⡁⠀⢠⣀⣀⠀⠀⠀⠀⠀⠀⠀⣀⠀⡈⠉⠉⠉⠉⠀⣀⣀⣀⣀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠸⠿⠿⠿⠿⠿⠿⠿⠿⠿⠇⠀⠀⠀⠚⠗⠲⠶⠖⠂

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠐⡂⠀⡒⠈⡶⠂
⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⡄⠀⡐⠁
⠀⠀⠀⠀⠀⠀⠀⡐⠀⠀⢀⠀⠘⣆⠀⠀⠀⠀⠀⠀⣈⠉⠀⢄
⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠈⠀⠀⠈⠀⠀⠀⠰⠀⠀⠘⠆⠐⠉⠀⠁⠘⢀
⠀⠀⠀⠀⠀⠀⠨⣬⠀⠐⠀⠐⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠐⠀⠀⠈⠒⠊⢠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠉⠄⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠
⠂⠈⠄⠀⠀⠀⠀⢂⠀⠀⠀⠈⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠧
⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠆
⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⠀⠀⢀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠈⢠⠀⠂
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠰⠀⠈⠀⢀⠀⠠⠀⠀⠀⠀⠄⠀⠀⠀⠀⢀⠀⠀⠀⠀⠄⠀⠀⠈⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠎⠀⠀⠀⠀⠈⢁⠀⠀⠀⠀⠀⠀⠈⠒⠀⠀⢀⠄⣈⠌⠡⠁⢠⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠘⠀⠀⢐⡰⠀⠀⠀⠐⠈⣤⠀⠀⠀⠀⠀⠀⠀⠀⢠⠐⡆⠀⡀⢀⠀⠻⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⢠⠔⠄⠀⠀⢀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠙⢦⠍⠅⠀⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠐⢠⡍⢩⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢼⡇⠀⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠘⠼⡤⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠛⢀⠤⠐
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⣄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣄⣠⣼⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠠⠀⠠⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣷⡀⣧⣴⡄⠤
⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠒⠀⠘⠀⠀⢰⣰⣄⣀⡄⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⡿⢁⠀⡀⠠
⠀⠀⠀⠀⠀⠰⠀⠁⠀⠀⠀⠆⠀⠂⠀⠀⠐⠊⣣⠀⠀⢠⠀⢐⠘⠁⠉⠁⡀⢀⠁⠀⠀⠀⠀⠈⢹⣹⠋⣏⡛⠉⠅
⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⢀⡄⠀⣡⠴⠊⠁⠀⠀⢈⡀⢀⡸⠃⠀⠀⠁⠀⠐⠀⠀⠀⠀⠀⡀⠈⠀⠀⡀
⠀⠀⠀⠀⠀⠀⠴⠚⠀⠀⢠⣦⡾⠃⠀⠀⠀⠀⠀⠀⠀⠤⡄⠨⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠶⠿⠀⠀⠻⠷⠄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣷⠄⢶⣆⡀
⣶⣶⡶⠶⠶⠶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣷⣶⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶
⣿⣿⣶⣶⣶⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⢀⣤⡀
⠀⠀⠀⠀⣿⣿⣿⠀⠀⠀⣴⣦⡀
⠀⠀⠀⢀⣾⣿⣧⡄⠀⠀⣿⣿⠇
⠀⠀⠀⣾⣿⣿⣿⢻⣄⡴⣿⣿⣧⡀⢀⣴⣄
⠀⠀⠀⠁⢻⣿⡟⠀⠉⢀⣿⣿⡌⠛⠒⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣦
⠀⠀⠀⠀⣿⠀⣿⠀⠀⣼⣿⣿⣷⠀⠘⣿⡟⠀⠀⠀⠀⠀⣼⣿⣧⠀⠀⠀⠀⠀⠀⠀⢻⣿⡿
⠀⠀⠀⢰⡏⠀⢻⡆⠀⠀⣿⢿⠀⠀⢰⡇⣧⠀⠀⠀⠀⠀⣹⣿⣏⡀⠀⠀⠀⠀⠀⣰⣿⣿⣿⠻⢦⣄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡏⢷⣄⡰⣿⣇⣰⠏⢸⣿⣿⠀⠀⣩⣤⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣷⠀⠉⠙⣿⡏⠀⠀⣸⡟⣿⠀⠀⣿⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢿⣿⡿⠆⠀⢠⡿⡇⠀⠀⣿⠀⢿⡄⠀⣿⣿⡇
⠀⠀⠀⠀⠀⠀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠛⠇⠀⠀⠘⠀⠃⠀⠘⠋⠀⠘⠃⠀⠉⠉⠁
⠀⠀⠀⠀⠀⠠⢿⣿⠇⠀⠀⠶⠀⠀⠀⠀⠀⣠⣶⣦
⠀⠀⠀⠀⠀⢠⣾⣿⣧⡀⠀⠐⣴⣿⡗⠀⠀⠻⣿⡿⠁
⠀⠀⠀⠀⠀⠟⣽⣿⡏⠛⠀⠀⠉⣿⡇⠀⢠⣿⣿⣿⣇
⠀⠀⠀⠀⠀⢰⣿⣿⣿⠀⠀⠀⢀⡟⡇⠀⣾⢻⣿⣿⢻⡆
⠀⠀⠀⠀⠀⠈⢹⣿⡏⠀⠀⠀⠘⠃⠛⠀⠀⢸⡟⣿
⠀⠀⠀⠀⠀⠀⠈⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⢿⡄
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠟⠀⠘⠇

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠆
⠀⠀⠀⠀⠀⠀⠀⠀⣰⢳⣀⡆⠀⠀⠀⡀⠄⡀⠀⠀⠀⠀⠀⣐⠻⠀⠀⠀⠀⢀⣀⡀⠀⠀⣀⣀⣀
⠀⠀⠀⠀⠀⠀⣿⠿⠿⡏⠹⠃⠀⠀⠼⠀⠀⡔⠠⠄⠀⠀⠞⠁⠀⠀⠀⠀⠀⣿⠟⠙⠀⠘⠿⢿⣿⣷⣄
⠀⠀⠀⠀⠀⠀⢻⡀⠀⠃⠀⠁⠞⠒⠄⡢⠈⠇⡀⠐⠙⢆⠀⠀⠀⠀⠀⠀⠀⢘⠂⡀⠀⠀⣆⠀⣽⡿⠟
⠀⠀⠀⠀⢀⡤⠀⠈⠛⠄⠀⠀⠀⠱⡄⠁⠀⠀⠀⢄⠁⠈⠀⠀⠀⠀⠀⠂⢹⣿⣦⣿⡇⢀⠿⠁⠘⢻⠇⡀
⠀⠀⠀⢀⠀⡔⠀⠀⠀⠈⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣾⣿⣿⣿⣇⡌
⠀⠀⠀⠀⠸⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡟⠣⠀⠀⠀⠀⢠⡠
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢄⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⡇⢀⠀⠀⠀⠀⠸⠀⠀⣀⣀
⠀⠀⠀⢀⢀⣀⣀⣀⣤⡅⠀⠀⠀⣠⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⣾⡿⠦⠀⠆⠀⠀⠀⠋⠘⠃⠀⠀⠀⢿⠀⠘⠛⠻⡇
⠀⠀⠀⠀⣸⣿⣿⣿⣿⣧⠀⠀⣴⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⣿⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⣴⢀⠼⣦⣸⡿⠤⡀⠀⡤⣦
⠀⠀⠀⠀⢸⣿⣿⠿⣿⣿⡆⠀⠈⠉⢁⠬⠟⠛⠿⠛⠛⠃⠀⠈⠀⠈⠱⠀⢀⠀⡇⠀⠀⠀⠀⠀⡆⠀⠀⠀⠙⠇⡀⠇⠋⠁
⠀⠀⠀⠀⣿⣿⠏⠀⠙⠟⠃⠀⠀⠀⠁⠀⠠⠚⠀⠀⠀⢀⡟⡁⠀⠀⠐⠛⠉⢀⡇⢀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⡀
⠀⠀⠀⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠀⠁⠀⠀⠁⠀⠀⠸⠁⠐⠀⠀⠀⠀⠁⠀⠀⠀⠀⡁⠁⠉⡃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣄⠡⠤⠄⡀⠄⠀⡀⡄⢄⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⠁⣤⢶⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣄⠀⢀⠀⢠⠀⠀⠀⠀⢦⠀⢤⠀⠀⠀⢀⡄
⠀⠀⠀⠸⠧⠀⠀⠀⠀⠀⠛⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠒⠛⠓⠉⠁⠀⠀⠀⠋⠐⠛⠀⠀⠀⠞⠃





⡿⠿⠿⠿⠿⡻⢿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⡿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⠿⣿⣷⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⡟⠀⣄⠈⠉⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡿⠟⠛⠛⠻⣿⣿⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣦⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣀⡄⠰⠂⠀⠉⢙⣿⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡆⠀⢀⠀⠀⠐⣿⣿⡗
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣾⣿⣶⣤⠈⠛⣷⣄⣀⡀⠀⠺⠏⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⢁⡉⢉⡉⢻⡆⠀⠈⠉⠉
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡁⠀⠀⠀⠀⢈⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣶⣀⣀⣶⣶⣦⣄⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠿⠿⠿⢿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣸⣿⠟⠋⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⡀
⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠙⠻⠁⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⣰⣄⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇
⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⢀⣴⣿⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠛⣿⣿⣿⣿⣿⣿⡏⠀⠀⠉⠉⠉⠉⠉⠉⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿



⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠄

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠚⠛⠛⠛⠛⠷⣤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠛⠁⠀⠀⠀⠙⠃⢀⠀⠙⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⢠⠖⠙⠛⢷⣤⣀⣠⡤⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡟⠛⠃⠀⢀⠀⠀⠉⠉⠁⣀⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⣧⠀⠀⠭⠅⠀⣤⡐⢰⠛⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡀⢀⡀⠀⠀⠃⠁⡆
⠀⠀⠀⠀⠀⣠⣦⢠⣶⠄⠀⠀⠀⣴⣦⠶⠶⠞⠛⡟⠁⡆⠳⡀⠱⣀⠖⣠⠞
⠀⠀⠀⠀⠰⣯⣸⡧⠟⠊⠛⠛⠚⢷⣄⠀⠀⠀⠘⠀⠀⢿⠀⠈⠲⠤⡞⠙⡦⣀⡀
⠀⠀⠀⠀⢾⣿⣿⠀⠀⠀⠀⠀⠀⠈⠿⣷⠀⠀⣤⠶⠗⠈⢇⠀⠀⣸⡇⠀⣃⠂⢙⣿⡆
⠀⠀⠀⢠⠆⢸⡧⠀⢀⣤⣤⡀⠀⣀⣤⢈⡿⠀⠀⠀⠀⠀⠈⢆⣰⠃⠈⢲⡟⠀⡌⢸⡇
⠀⠀⠀⢿⡀⠀⣀⠀⠀⠈⠉⠉⠉⠉⡁⠈⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⢸⣰⠁⢸⡇⠀⠀⠀⣠⣄⣀⡀
⠀⠀⠀⠈⢳⡀⡝⠃⠀⠀⢩⡄⠀⡀⠶⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⡇⠀⠸⡇⣀⡼⠛⠉⠉⠀⠙⠶⡄
⠀⠀⠀⠀⢶⣇⣘⠦⣀⠀⠀⠀⠀⣀⠀⣸⠁⠀⢀⠄⢀⡤⠀⠀⠀⣤⠖⢠⡞⠁⠀⢀⡟⢩⣤⠀⠀⠀⠀⠀⠀⢹⡄
⠀⠀⠀⠀⠀⠉⠉⣐⢿⣦⣀⠘⠣⠊⣼⢃⠀⠀⠆⠐⠁⠀⠀⠰⠋⠀⣰⡟⣇⠀⠀⢸⣇⣤⣤⣄⣀⣀⠠⠺⡇⠸⠇
⠀⠀⠀⠀⠀⢀⡴⢻⡀⠙⢮⣍⣓⠾⠁⡏⠀⢨⠘⣶⡄⠀⣰⠶⠚⣛⠉⠑⢮⣀⠀⠀⣿⠀⠉⠁⠈⢀⠀⠀⠈⠚⢳⠄
⠀⠀⢀⣤⠞⢁⠀⠈⠳⣄⠀⣻⣿⣿⡿⠇⠀⢸⠀⡇⢻⡞⠁⣀⣠⡘⠃⠀⠀⠉⠓⣀⠀⡄⡄⢀⠀⠠⠄⠀⠀⣠⠏
⠀⢀⡿⠹⡄⢸⠀⠀⠀⠈⠉⠙⢻⠛⠃⠀⠀⢸⢰⠇⢸⠀⢀⡇⠀⠙⠒⠒⠒⠀⢲⡇⠀⣇⠀⠏⠀⠀⠀⠀⢰⣏⡀
⠀⠈⠁⠀⠓⢸⡄⠀⠀⠀⠀⠀⠈⣳⠀⠀⠀⠈⡇⢀⠖⠛⠃⠀⣀⣀⡀⠀⠀⠀⣼⠅⢠⡜⢣⡀⠠⠀⢀⡴⠁⡉⠙⣆⡀
⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⣁⠼⣦⡀⠀⠀⠉⠿⠁⢠⢛⠛⠏⣶⢸⡡⠾⣤⡐⠚⠋⣠⣀⠀⢀⠈⡙⠳⣤⣀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡛⠓⢄⣼⣇⠀⢀⡠⠀⠀⢨⠄⡰⠀⠹⣄⠀⠀⠈⠛⠒⠚⠉⠈⠳⣼⡃⢰⠀⢠⠉⢷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠉⠀⠀⢹⠖⠋⠐⢋⢄⠀⠙⠃⡠⠃⣰⠃⢤⡀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠈⢠⠟⢷⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡟⠀⣠⠚⡆⠀⡄⠀⠀⠈⠫⡷⢄⣀⣁⣤⠻⣤⡀⠙⠦⡀⠑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠈⣷
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡞⠋⠛⠀⠀⠀⠀⠀⡇⠀⠀⡄⠀⠈⢓⣬⠉⢀⣇⠘⠉⠓⠦⣌⡲⣌⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠘⣧
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠇⣀⠘⣧⠀⠀⠀⢠⡇⠀⠀⠀⠑⠢⠙⣿⢳⠟⣿⠀⠀⠀⠀⠀⠹⣧⠑⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠸⣧
⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⢏⢿⣻⡆⠀⠀⠀⠙⡦⠀⢸⠀⠀⠀⣿⣆⠀⢿⠀⢀⠀⠀⠀⢲⠹⣇⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⢀⣀⠹⣆
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡀⠙⢿⡀⠀⢰⡎⠀⠀⠀⡆⠀⠀⢻⣿⠀⠘⡂⠀⠳⣄⠀⠈⡆⢻⣆⠀⠀⠀⠀⠀⠀⠀⢠⠞⠋⠙⠃⣠⣫⣥⢸⡆
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠳⡄⠈⠿⠀⠀⠙⣆⠀⠀⠸⡄⠀⢸⣿⡀⠀⢡⠀⠀⢹⠀⠀⢱⠀⢿⡆⠀⠲⠦⣤⣀⡀⠉⠀⠀⠸⠟⠉⠀⠂⢸⡇
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⡀⠡⠀⠀⠈⢳⡀⠀⢹⡄⠈⢿⣷⡄⠀⠄⠀⣸⠀⣠⢻⡆⠈⢿⣄⠀⠤⣄⣉⠙⠓⠒⠒⠚⣧⠀⠀⠀⢸⠃
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⠂⠀⠀⠀⠙⠦⠀⢻⡄⠘⣿⣿⡄⠀⠀⠉⠰⠛⠉⢷⠀⠈⢳⣤⠐⠒⠚⠻⣟⢒⣒⣂⣛⠉⠉⢳⡟
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠛⠛⠓⠒⠲⠶⢿⣄⣸⣿⡇⠸⠀⠀⠀⠀⠀⢸⡆⠀⣈⣩⡌⠒⠒⠉⠉⢠⡴⣋⡁⠀⠀⢾
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠞⠛⠒⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠲⠦⢄⣀⡤⠾⠛⠈⠁⠀⠀⠀⢠⡖⠛⢋⠄⢩⠏⠰⣰⠘
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡧⠤⠤⠤⠤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀⠀⠀⠀⢀⣓⡀⠀⣐⠟⠀⠀⠈⠓⠱⠀⠙⢶⣦
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠂⠀⢀⣈⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⢈⣿⠆⠙⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁
⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀
⣿⣿⣿⠛⠻⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣴⣦⣶⣶⣄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿