⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠢⠔⡂⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢐⢐⠀⢄⢀⢁⠄⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠐⠈⠊⠁⢠⣔⢎⣠⡣⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣧⣍⢖⢔⡀⠐⡈⠐⡄⡀⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠂⠁⣂⣅⣤⣷⢿⡻⠊⣦⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡧⡏⣳⡈⠻⣦⢶⣥⡃⠁⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠠⠊⢀⢐⣬⢾⡿⡽⢅⣶⣛⢜⢌⡝⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢫⡳⣷⡹⣆⠹⣯⣟⢿⢷⣦⡈⠂⠀⠠⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡐⢈⢄⣵⠫⠁⢢⢟⡮⡻⡝⡎⣒⢇⣯⠄⠀⠀⠀⠀⠀⠀⡰⢩⠘⠄⠄⠀⠀⠀⠀⢀⣺⣝⣒⢝⠝⡌⡸⢳⠀⠁⠘⠛⢶⡐⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢐⠆⡕⠝⠀⠀⢀⢺⣞⣳⢹⢯⡣⠂⢇⢇⡐⡂⠀⠀⠀⠀⢠⢡⢑⠧⡡⡇⠀⠀⠀⠀⣰⣺⠲⡀⣝⠾⢽⡄⠸⡁⠀⠠⠀⠁⠹⢖⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⠯⠐⠀⠀⠀⠀⡅⡷⣏⠞⡛⡝⡌⢌⢎⡏⣗⣼⡤⢀⠀⢀⠲⣨⠒⠈⢦⢻⠀⠀⡀⡴⣖⠽⢧⡱⠥⣻⡋⣷⢈⢃⠃⠀⢁⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⡏⠀⠀⠀⢀⠀⢨⡘⣮⢎⡂⡒⡼⠐⢥⠿⡎⡧⢞⢿⣧⣧⣦⢣⣻⠇⠖⢿⡨⡲⣼⣲⣿⢧⢽⡵⡹⡆⠎⢣⢙⠆⠺⡈⠀⠠⠀⠂⠀⠈⡂⠀⠀⠀⠀⠀
⠀⠀⠀⠸⠀⠀⠀⠀⠱⢇⡒⡇⠮⢃⢳⢠⢉⢴⢩⢣⢉⣿⢭⣿⣟⡏⠘⡸⠑⢐⠀⠊⡁⠖⠉⢿⡾⣯⣟⣯⢪⡲⢬⠸⠂⢃⠀⡇⠂⠀⡐⠀⠀⡀⠰⡀⠀⠀⠀⠀
⠀⠀⠀⡇⠀⠀⠀⠀⠀⠨⡦⡁⢸⢑⠉⡐⡅⡄⣺⡜⠢⠻⣸⡟⣟⡇⢐⠨ ⠀⠀⣦⠀⡿⣿⣻⣯⡞⣗⠀⠑⠀⡍⠠⠀⠂⢇⠀⠠⠈⠀⠀⠀⠆⠀⠀⠀⠀
⠀⠀⢐⠅⠀⠀⠀⠀⠀⢸⠉⡧⡨⣈⠄⡇⠨⢀⠇⠀⠖⠁⡿⢹⢽⡇⢸⡓⠂⠂⠈⠒⠴⣿⠀⢟⢿⢜⠁⠁⢸⠀⠀⡆⠑⠀⡀⡸⢰⢀⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢘⠀⠀⠀⠀⠀⠀⡘⣠⡫⡹⣀⡆⡃⠀⢘⠀⠀⠀⠀⢃⠊⣺⠀⣸⡆⠀ ⢨⣿⡄⢨⠀⠃⠀⠀⢨⠀⠀⠅⠊⡀⠐⠥⠘⡀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠠⠀⠀⠀⠀⠀⠀⠁⢐⡑⠜⡗⡅⠀⠀⠀⢄⠀⠀⢀⠂⡈⡐⣠⣿⡿⠀⠀⠀⠀⣿⢻⢊⠘⣢⠀⠀⠀⠐⠀⠀⠀⠄⠂⣅⠆⠠⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡆⢇⠝⢵⡀⠀⢀⠈⢯⠅⠒⠐⡐⠤⣼⡏⢔⢄⠠⠀⠀⢻⠌⡢⠘⢢⠡⠀⠀⠀⠀⠐⠍⠂⠠⡳⢐⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢳⠄⠒⡍⡤⣀⠈⣦⠀⠀⠐⠀⣰⡿⡹⣯⣊⣮⠢⡢⣀⣧⡈⡀⠘⠀⡈⠀⠀⠀⠄⠀⠀⢘⠅⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⣌⡖⠀⡞⢌⡊⡍⡗⠢⡠⢁⠌⣾⠍⡜⣞⢴⣳⡱⣕⡳⡿⣷⣐⠀⡅⠀⠀⠀⠀⠀⡀⠁⢱⠁⡈⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠪⠈⡮⢮⣱⢬⢷⡣⡇⠀⡊⡆⠀⢫⡮⠲⣱⣳⢳⡊⢜⣓⣹⣚⡷⣕⢸⠀⠀⠀⠀⠀⠀⠀⠰⠀⢈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⢸⠀⡇⢢⠀⠉⠱⢽⣢⢅⠎⡃⠀⢣⡽⠒⡷⠉⣫⡾⡨⡉⠧⣝⡏⡗⢸⢔⠀⠀⠀⠀⠀⠂⢸⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠈⠀⣪⠀⠣⡀⠀⠀⢳⡝⠀⠀⠰⣹⣿⢀⠸⠀⢘⡟⢕⠸⢰⣣⡀⡳⡌⠆⠀⠀⠀⠀⠐⠀⢸⠀⠂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢸⠀⠀⠈⠀⠀⠠⡹⡂⢂⢠⣿⣿⡌⠀⠀⠀⡂⠅⠡⢋⢮⢐⢬⢓⠈⠀⠀⠀⠀⡀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠄⠀⠸⡁⠀⠀⠀⠀⠀⡆⢽⡄⡕⣻⣿⢵⡀⠀⠀⡂⠀⠈⡌⡮⡚⡄⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⡀⠀⠀⠣⠀⠀⠀⠀⠀⠨⡈⢺⡤⡅⢿⢻⣇⠀⠀⡂⠀⠀⣧⠸⡘⡸⢄⠀⠀⢀⠀⡀⠀⠈⡇⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠘⠀⠀⠀⠀⠀⠀⠈⠑⢽⡗⠮⣺⣿⡀⠀⡐⠄⠨⣿⡏⠐⢣⠈⠂⠀⠀⠀⠈⠀⢡⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠐⠱⡻⡄⣯⡯⡂⠀⢳⢠⡁⣿⡇⡆⡈⠢⡐⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠑⢗⣞⢼⣂⢡⢘⣾⣇⣿⣧⢟⡇⠀⠐⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠅⣟⣽⣗⢜⠤⣿⣷⢹⣻⡼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⣾⣿⣿⢘⢀⣿⡏⣾⣏⡾⣗⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀ ⠀ ⠀⠀⢀⣤⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣀⣴⠶⣝⣭⣖⣿⠶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡀⢠⣀⠀⡀⡆⡀
⠀⠀⠀⠀⠀ ⠀⠀⣴⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣷⣦⣿⣭⣽⡶⡾⠷⣕⢻⣿⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡯⣶⣨⢪⢑⡣⣝⡴⣞
⢨⣐⢁⢄⢀⢀⢐⠿⣽⣯⢮⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⣿⣿⣿⣿⠛⡯⢽⣖⣶⣿⡟⣻⣿⣿⣿⣿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠓⢫⣝⡜⢖⢐⢹⢕⣟⠾
⣿⣻⣽⣝⢷⡱⡸⡽⣺⡼⡫⠠⡂⠂⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⡿⠛⠋⠉⠁⠀⠐⢻⣿⣿⣿⡿⠿⡝⠁⠀⠀⠀⠀⠀⠀⠀⠀⢐⣎⣗⡏⣄⢊⢞⠲⠠⠝
⣿⢻⢽⣭⣫⡎⡺⢨⢏⣇⡭⣎⣦⣄⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠷⣷⣶⢒⣠⢺⢠⣖⡿⠟⠉⠉⠀⣴⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⢹⣝⢽⢱⣵⠵⣱⠁⠁
⡃⢑⢊⢗⣳⠭⡊⢑⢝⢺⣳⢿⣟⡾⡻⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢲⠩⠁⣼⡳⣗⠄⠀⣠⣾⣻⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢹⢿⣺⡇⠄
⡐⢀⢮⣯⣚⣽⠪⣇⢿⣵⡝⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠎⠢⠁⠈⢰⡻⡽⣕⣺⢽⣽⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠔⠽⣿⡓⠀
⠀⢸⡾⣯⠷⠍⣹⣜⣗⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⣢⣦⡾⠇⡊⢙⢺⢻⣽⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⠁⡋⠠⠐
⢁⢑⢙⢈⢂⠐⠐⢕⡷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⢿⣿⣯⣷⡟⣷⢮⢥⠖⡭⣗⡿⡟⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡂⠐⡀⠅
⢂⢑⠔⡐⡄⢌⠠⠨⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⡜⠉⠛⠛⠏⣷⢇⣿⡇⣏⡾⡞⠋⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣄⠅⡂⢄⠡⠀⠄
⣰⡱⡧⣇⠧⣱⢡⣫⢔⡫⣛⢖⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣐⠷⠚⠀⠀⠀⣠⣿⢯⢫⢻⣿⣯⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣮⣻⢲⡰⡠⢡⢈
⡮⣯⡻⣣⢮⡞⡦⢯⢏⡽⠪⠣⠣⠀⠀⠀⠀⠀⠀⠀⠰⠓⠉⠀⠀⠀⠀⣰⣿⢯⡓⠁⠀⠉⠳⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⣔⠶⣵⡣⣫⢪⠪⡘
⡟⠞⡽⠹⢸⢿⢟⣿⢯⡚⠈⠔⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢸⣹⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠪⣽⣜⢆⡖⢴⢕⠩⡂
⠂⠁⡂⡨⣪⡿⡯⢟⠫⠊⡀⠁⠄⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠐⢔⠲⢹⢸⠎⣓⠱⠠
⠀⡢⣪⢺⢲⣳⢘⡨⠨⠀⠐⠠⠈⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡀⢢⢇⠆⠈⡀⢊⠃⠍⡿⡸⡈⢌
⠠⢑⢞⠼⡵⡩⡾⢭⡊⠌⠀⠂⠈⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢄⡀⢰⡀⡄⡦⡸⢽⢸⠺⠥⡡⢀⠂⡈⡐⠌⡑⠀⢂
⠠⠡⡩⢩⠥⡊⡽⣳⡫⠊⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡄⠀⠀⠀⠀⠀⢐⢐⢍⢂⡨⢨⠢⢇⠇⠱⣰⠩⠂⠂⠂⠄⡐⢐⠀⡁⠠
⠀⠌⡢⠥⡭⡌⢎⣗⠕⡡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣺⢿⣽⡎⠀⠀⠀⠀⡀⠂⠂⢢⢓⠨⡂⠃⠁⠂⡙⠌⢈⠐⠀⡁⠂⡐⢐⠠⢀⠐
⠀⠂⡪⡡⡹⣢⠇⠔⡐⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣷⣯⡳⡇⠀⠠⢀⠁⠠⠀⠂⠐⠀⠠⠀⡀⠁⠀⠠⠨⠐⠨⠀⢂⠐⠠⠁⠄⠄⠐
⠐⠀⠔⡜⡕⡝⠄⢁⠀⡀⢀⠈⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⣿⣿⣿⡛⣩⢟⣿⣿⣦⠀⠀⠀⠊⠀⠐⠐⢀⠂⡐⢀⢂⢐⠠⣑⢰⢕⠇⠢⠐⢈⠠⠁⠡⠠⠡
⠐⠀⠡⢊⠊⠊⠈⠀⠀⡀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠎⣷⣿⣿⣿⣿⡿⡶⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠒⡸⣰⡱⣑⢱⣓⠷⣝⠅⢅⢁⠠⠀⢈⠄⡊⢐
⠄⠀⠂⠀⠈⠀⢀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣹⣿⢿⡿⣿⣗⣻⣿⣿⣿⣿⣿⣧⠴⡀⠀⠀⠀⠀⠀⢠⠱⡕⡇⠐⣰⣑⣫⣑⢅⢖⡐⡄⠂⡐⠐⠈⢄
⠐⠈⡀⠄⠂⠀⠄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⢲⣍⣥⡻⡑⣿⡿⣻⢿⣿⣿⡇⠂⠀⠀⠀⠀⠀⢀⢀⢳⣕⡨⠘⡌⡖⣖⣹⡳⣗⢕⢅⢂⠂⢐⠈⠔
⠅⡐⡀⡂⠄⠂⠀⡰⢐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⣗⣯⣭⣧⣿⣿⢾⢦⣥⣶⢿⠁⡀⠀⠀⠀⠀⠀⠁⡔⡵⠰⢿⣰⢱⢘⠘⠼⠹⢚⠕⡑⠅⢐⠀⠠⢁
⢎⢖⢵⣝⡾⠠⠀⠠⠡⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣻⣿⣿⣿⣿⣟⣿⣿⠾⡋⠂⠠⠀⠀⠀⠀⠀⠀⠀⠀⠄⢍⢞⠕⠅⠂⢈⠀⠁⠂⠠⠐⠌⠠⠐⠀⠄
⢗⢵⠰⣇⠽⣌⢤⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣻⣿⣿⣿⣟⢟⠕⠁⢀⠈⠀⠀⠀⠀⠀⠀⢀⠀⠀⢐⢈⠢⠈⠄⠁⠀⠀⠁⠀⢐⠨⡡⢂⠡⡀⣂
⡂⢥⠩⣢⣣⢷⡡⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠑⠫⠿⢿⠧⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢲⠀⠀⠰⡐⠁⡁⠠⠁⠐⠀⠁⠄⣜⣸⠜⡇⡮⡒⡔
⡎⢮⡁⣗⡳⡱⡜⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠆⠃⢀⡐⠱⢔⡡⡠⡁⠌⢀⠂⡥⢦⡳⠩⡸⡒⡟⠸⠁
⠇⠡⠘⢜⢵⡱⠊⠀⠀⠐⠀⡐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⡂⢓⢁⠪⢕⢐⠕⡄⠆⠐⡠⠉⡕⡜⡕⡏⢎⠌⢈⠀
⠡⠀⠄⠱⡭⡨⠀⠀⢀⠡⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠐⠠⠁⠃⢅⢎⢌⠎⠌⢀⠠⠈⠌⠐⠹⡜⡢⠊⠀⡀
⠂⢀⠀⢀⠁⠀⠀⡀⡐⢨⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢀⠀⢀⠀⠐⠈⡈⠀⠅⠘⡀⠅⠀⠐⡀⠀⠂⠈⠀⠁⡑⠕⡁⠁⠀