⠀⠀⣀⣀⣀⣀⣀⠀⢸⢘⡦⠒⠉⠀⣠⠊⠉⠉⠑⢢⠀⠀⠀⠀⠀⠀⢻⠋⠸⠦⠶⠤⣀⡀⠠⢀⠀⠄⠀⠉⠳⢤⡀⠠⢀⠀⠄⡀⠄⠀⠄⡀⠄⠀⠄⢀⠀⠀⠀⠀
⠒⠋⠁⣤⢒⡴⠪⣹⡵⠋⠀⠀⠀⠀⢇⠀⠀⣴⣴⣼⠀⠀⠀⠀⠀⢠⡞⠀⠄⠠⢀⠐⠀⠄⡁⢀⠂⠀⠀⠀⠀⠀⠙⠳⣄⡐⠀⠄⠠⠁⠠⢀⠂⠁⡀⠂⠀⠀⠀⠀
⠀⠀⠀⠀⣀⡤⢾⡟⠀⢀⣀⡀⠀⠀⠈⠓⠂⠟⠛⠁⠀⠀⠀⠀⣰⠏⡐⠈⢀⠂⠄⠂⠁⠄⠐⡀⠐⠀⠀⠀⠀⠀⢄⠀⠌⠳⣮⡀⠂⢁⠐⡀⠄⠂⠠⠐⠀⠀⠀⠀
⣀⣠⣴⠾⠋⢀⡟⢠⣾⣿⣷⠉⠑⡄⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⣿⠛⠲⣤⣂⠀⢂⠈⠐⠈⡀⠐⠀⠀⠀⠀⠀⠀⡈⢣⡐⠠⠈⢻⣄⠂⠠⢀⠐⠈⠠⠀⠀⠀⠀⠀
⠟⠋⠁⠀⠀⣼⠁⢸⠿⠿⠋⠀⠀⡸⠀⠀⠀⠀⠀⠀⣠⣾⠿⠀⠀⠀⠀⠀⠈⠛⢦⣤⡁⠂⡀⠁⠀⠀⠀⠀⢀⠐⢀⠐⢽⡄⢁⠠⠙⢷⡄⠂⠈⠀⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢠⡏⠀⠈⠦⡀⠀⢀⠴⠃⠀⠀⠀⣀⣴⣾⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢷⣄⠀⠀⠀⠀⡀⠂⢈⠀⠄⠂⠙⣦⠀⢂⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠂
⠀⠀⠀⠀⢸⡧⠀⠀⠀⠈⠉⠁⠀⠀⣀⢔⣪⠼⢣⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠉⡇⠀⠈⠻⣄⠀⢂⠀⠡⢀⠈⠄⡈⠐⠘⣷⣄⠠⠁⠹⣧⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠈⣷⡡⣀⠤⡄⢤⡐⢦⡙⢦⠟⠁⢂⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⣀⡎⠀⠀⣨⡔⣈⣳⣤⠈⠠⢀⠂⠐⠀⡁⠂⠘⣯⢧⡀⠁⠹⣧⠐⢀⠂⠄⠁⠀
⠀⠀⠀⠀⠀⠙⣶⢩⠞⣸⠱⢎⣣⡽⠋⠀⠌⡀⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⣼⠀⢀⣾⠟⠛⢅⠀⢻⣧⡐⠀⠄⠁⢂⠀⡁⢂⠸⣿⡵⡈⢀⢻⣇⠀⢂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⡟⠮⢵⡯⠶⠋⢀⠐⡈⠄⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⠀⣼⣧⡺⣿⡇⢠⠸⠀⠳⣌⠀⠌⢀⠐⠀⠄⡀⣿⡿⣵⠀⡈⣿⡆⠠⠈⠀⠀
⠀⠀⠀⠀⠀⠀⣼⠁⢂⣿⠀⡐⠈⡀⠄⠠⢀⠁⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠛⠈⠙⠶⠤⠚⠁⠀⠀⠹⣷⡀⠂⠈⠄⠂⡀⢸⣿⣽⣣⠀⢸⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⣼⠃⢀⢸⣿⠀⢀⠂⠠⢀⠁⠀⠀⢽⢀⡴⠚⠉⠙⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣟⡄⠁⡐⠠⠐⠈⣿⣷⢯⣇⠈⣿⡇⠀⠀⡀
⠀⠀⠀⠀⣸⠇⢀⠂⢸⣿⠀⠀⠀⠁⠀⠀⠀⠀⢸⣏⣀⡠⠜⠊⠉⠁⣀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⡐⠠⠁⣿⣿⣟⡾⡄⣿⣿⠀⠐⠀
⠀⠀⠀⢠⡿⠀⠂⠀⠈⢸⠀⠀⠀⠀⠀⠀⠀⢀⢸⠂⠀⠀⠀⢀⣴⠞⠷⣭⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡾⡄⢀⠂⠄⢿⣿⣿⡽⣳⣿⣿⠀⢂⣾
⠀⠀⠂⣾⠇⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠄⡈⠠⢸⡇⠀⠀⣚⣿⠁⣴⣿⡎⠷⠀⠀⠀⠀⠀⠀⠰⣄⠀⠀⠀⠀⠀⠀⠀⣿⡿⣵⠀⡀⢂⢸⣿⣿⣽⣳⣿⣿⢀⣾⣿
⠀⠐⢸⣿⠀⠀⠀⠀⠠⠀⠆⠀⡐⠈⡀⠂⠐⠠⠀⣇⠀⠀⠀⡇⠀⠉⠁⠤⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣧⣇⢯⣧⠀⠀⣾⣿⣿⣞⣷⣿⠛⠛⢿⣿
⠀⡀⣿⡇⠀⠀⢀⠀⠄⡐⠀⠂⠄⠂⡀⠡⠈⡀⠂⢻⣦⣄⡀⢻⠷⠶⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⣸⠔⢻⢙⡾⡆⠁⡏⠻⣿⢟⢫⡐⠁⠀⠀⠈
⠀⢀⣿⠇⠀⠌⢀⠐⠠⠀⠌⠐⡀⠂⠐⡀⠁⠄⠂⢹⣇⡜⢫⣗⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣘⡾⣯⢿⣽⢰⠃⠀⠙⣎⠆⠀⠀⠀⠀⠀
⠀⢸⣿⠀⡈⠄⠂⡀⠂⣾⡀⢂⠠⠈⠄⠐⠈⠠⢈⠀⣿⠭⣭⣉⣦⠾⠻⣦⣄⣀⡀⠀⠀⠀⢀⣀⣠⠤⣤⣶⣿⣿⣿⣷⠏⠀⣿⣻⢞⡟⠀⠀⠀⠈⢳⠀⠀⠀⠀⠀
⠀⢸⣿⠀⠀⠐⠠⢀⠁⣿⣧⠀⠄⠂⢨⠀⢁⠂⠄⠂⢸⡆⠀⠄⡀⠄⠠⠀⢉⠉⠙⣿⣿⣿⣿⡿⡁⢎⠰⣙⣿⡿⠟⠁⠀⠀⣿⡽⡿⠁⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀
⠀⢺⣿⠀⠀⠀⠐⠠⠀⣿⣿⣧⠀⠡⠀⢆⠀⢂⠐⠈⡀⣿⡀⢂⠠⠐⠀⠡⢀⠈⠄⣿⣿⣿⣿⢡⢱⣬⠶⠛⠉⠀⠀⠀⠀⢠⢸⡿⠁⠀⠀⠀⠀⠀⠸⠇⠠⢄⠀⠀
⠀⠘⣿⠀⠀⢀⠁⠂⢁⢸⣿⣿⣷⡅⠐⠈⡆⠄⠂⢁⠠⠸⣷⡀⠄⠂⢁⠐⡀⠄⢸⣿⣿⣿⣿⣟⡫⣁⠆⡀⠀⠀⠀⠀⠀⡆⠟⠁⠀⠀⠀⠀⠀⠀⢀⠀⠀⣋⠴⠀
⠀⠂⣿⡄⠐⠠⠈⠐⡀⢸⣿⣿⣿⣿⣦⡁⠘⣌⠒⡀⠄⠂⢻⣷⡀⠌⠀⠄⡀⢢⣿⣿⣿⣿⣿⣿⣿⣖⡸⢰⡀⠀⠀⠀⠐⠊⠀⠀⠀⠀⠀⠀⠀⢠⣾⠀⠀⠸⣌⠳
⠀⠂⢹⣇⠈⡐⠈⠠⠐⢸⣿⣿⣿⣿⣿⣿⠦⡘⣇⠲⡀⠂⠄⢻⣧⠀⠈⠀⣠⣿⡿⣿⣟⣿⣿⣿⣿⣿⣷⣧⢘⠥⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣏⠀⠀⠰⣌⠳
⠀⠠⠈⣿⡀⠐⢈⠀⠂⢼⣿⣿⣿⣿⣿⡿⠀⠈⠺⣧⡕⣌⠀⠂⢻⣧⡀⠾⠿⠿⠿⠛⠛⠩⢾⣿⣿⢿⢏⡜⣍⠲⣡⠀⣄⢠⠰⣄⣲⣬⡷⠿⠛⠋⠁⠀⢀⠰⣌⠳
⠀⠀⠀⢹⣇⠈⠠⢀⠡⠘⣿⣿⣿⣿⣿⠇⠀⠁⠀⠈⠙⢦⣧⢈⠀⢻⣷⡀⠂⠄⡀⠂⠐⠀⠀⢀⣴⡿⢷⣾⣶⠟⡶⣉⢆⢣⠹⠉⠀⠀⠀⠀⠀⠀⢀⠰⣌⠳⣌⠳
⠀⠀⠀⠀⢻⡄⠡⠀⠄⠂⣿⡏⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠈⠛⢦⣀⠹⣿⡄⠀⠀⠀⠀⠀⣀⣻⣯⣞⠤⣋⠴⣉⠖⠡⠊⠁⠀⠀⠀⠀⠀⠀⢀⡔⢬⠓⠌⠃⠀⠀
⠀⠀⠀⠀⠈⢿⡀⠌⢀⠂⠘⡁⣿⣿⡇⠀⠀⠀⠀⢀⠀⠂⠁⠀⠀⠈⠙⠺⠿⣦⡀⠀⣴⣿⣿⡿⢿⡩⠷⣥⡚⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠈⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠘⣷⡀⠂⡈⠐⠀⢹⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⢈⣾⣿⣿⠏⡴⣉⠿⣾⡌⣽⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠘⣷⣔⠀⠡⢈⠸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢂⠀⠀⢠⣿⣿⣿⢃⠞⡰⣡⢚⡹⢿⣿⣿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠠⠴⠖⣄⠀⠀⢀⡸⣏⡜⢙⠫⡝⡹⢒⡤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣟⣀⡠⠃⠀⢸⣧⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠴⠖⠉⠒⡒⠂⠤⢀⠑⢍⠆⠀⠉⠉⠀⠉⠉⠐⠣⢷⢣⣏⢶⡢⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⠠⠀⢌⡔⠈⠉⠉⠉⠁⠒⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣾⢆⡟⡴⣫⢗⡦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠉⢀⠂⡜⠀⠀⠀⠀⠀⠀⠀⠀⡃⠀⠀⠀⠀⠲⠠⢄⠀⠀⠈⡷⢘⡱⣣⢞⣱⢮⠹⡓⠦⣄⡀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢡⠀⠌⢀⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠉⠃⢵⢀⠎⠀⠀⠈⠑⡜⠂⠉⠉⠉⠉⠐⠭⡳⢦⡀⠀⢀⣾⠃⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠉⢆⢎⢠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⡀⠀⠀⠀⠀⠀⠀⡝⠀⠀⠀⠀⠀⡍⠀⠀⠀⠀⠀⠀⠀⠈⠛⣾⣶⣿⣿⡅⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⢀⠂⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢠⡄⠂⠀⣥⢢⣤⠀⣀⣡⠀⠀⠀⠀⡘⠁⢒⣖⠒⢢⡄⠀⠀⠀⠀⠀⠈⢻⣟⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠎⣴⠏⠀⠀⠀⠀⠀⡄⠰⠘⠃⠈⠁⠀⠀⢠⣤⣤⡶⠶⠾⠿⠏⠿⢶⣤⡅⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⢀⠞⢸⡿⢶⣤⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡎⢰⠀⡲⡟⠀⠀⡠⠔⠈⠀⠀⠀⠀⢀⡠⡄⠶⠮⢉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠑⢕⡄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠙⠀⠈⡇⡀⠉⣷⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢰⡀⢸⢠⣫⣇⠊⠀⠀⠀⠀⢀⡠⢔⡨⠓⠉⠀⠀⣧⠀⡑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡌⠂⠤⢀⣀⣀⣀⠰⠉⡠⠂⠑⢄⠀⡇⢈⠣⢼⣇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡘⠇⢸⢸⡞⠁⠀⠀⠀⡠⢲⣋⣔⣥⣤⣷⣦⡀⠀⠸⠗⣤⢾⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠱⡠⠄⠐⠊⠁⠀⠀⠡⠀⠣⡇⠠⠀⠄⢹⡇⠀
⠀⠀⠀⠀⠀⠀⠀⣟⠠⢸⡉⣇⠀⢀⡴⠊⡇⡞⢩⡿⢩⢿⣟⣟⣿⣦⡔⢦⡀⠉⠀⠀⠀⠀⠀⢀⣀⡤⠤⠤⢄⣳⡀⠀⢱⠀⠀⠀⠀⠀⠀⠀⠡⠀⢹⡄⢁⠈⡀⣳⠀
⠀⠀⠀⠀⠀⠀⠀⡏⠀⠌⡇⣸⣤⡟⠀⣰⣷⠁⠘⠇⢸⡷⠯⣤⣯⢿⣿⠆⠁⠀⠀⠀⠀⠀⠀⠚⠶⠄⠠⠠⠔⢻⢡⠀⠀⠱⠀⠀⠀⠀⠀⠀⠀⢁⡼⠀⠦⠔⢂⣹⡇
⠀⠀⠀⠀⠀⠀⠀⢷⠈⠀⣗⢼⢙⡇⠀⣼⡟⠀⠀⠀⠪⢳⢤⡴⠟⠁⠈⠀⠀⠀⠀⠀⠀⠀⢴⢖⡖⠂⠀⠀⠀⠘⠌⡆⠀⠀⠀⡅⠀⠀⠀⠀⣠⣿⠀⣐⡇⠈⠄⢸⠃
⠀⠀⠀⠀⠀⠀⠀⡣⢣⠐⢸⡇⠸⡇⠀⣿⠇⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣾⣿⠟⣻⢿⣶⣦⡄⣽⠀⠀⠀⡅⠀⠀⠀⣴⣿⣿⡇⣸⠇⢈⠐⢸⠀
⠀⠀⠀⠀⠀⠀⠀⡆⠱⠣⢈⡇⠀⠅⠂⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣮⣵⣦⣵⢴⡟⠙⣿⡯⠇⠀⠀⢱⠀⢀⠎⡜⣿⣿⣧⡟⢀⠂⠈⢼⠀
⠀⠀⠀⠀⠀⠀⠀⡧⠐⢀⠂⢽⠀⢧⠀⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⢽⢦⣀⡼⠋⡠⡾⣿⠁⢼⠀⠀⢸⢣⣊⠜⠀⣿⣿⣿⠁⠠⢀⠡⢸⠀
⠀⠀⠀⠀⠀⠀⠀⣷⠀⠂⠄⡘⡆⠸⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⢠⡟⠀⣿⡆⠀⢸⡠⠋⠀⠀⣿⣿⡏⠀⠂⠄⡐⢸⠀
⠀⠀⠀⠀⠀⠀⠀⢼⠆⡡⠀⠄⢱⠀⢇⠸⠑⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡇⢠⣿⠥⢒⡟⠀⠀⠀⠀⢻⡿⠀⡈⠐⠠⠀⣿⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢇⢸⠳⡈⠈⡆⠘⣌⡆⠐⢄⠀⠀⠀⠀⠀⠐⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠀⣾⠯⠓⠁⠀⠀⠀⠀⠀⢸⠇⠐⢀⠁⠂⢡⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠀⠙⢆⣵⠀⠘⣧⠀⠀⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⡇⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠌⢀⠂⣡⢣⡇⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠈⠃⠀⠈⠃⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⠴⠙⠉⠀⠀⡸⢀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠄⢂⢴⠗⢱⠃⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠒⠒⠂⢒⡒⣚⢛⡻⣟⣻⠉⠀⠀⠀⠀⠀⢠⠃⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡃⠈⠤⠁⣟⠀⣼⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣤⣀⡀⡀⠔⠘⢄⡠⡊⠌⠧⠕⣎⠼⢻⣏⠀⠀⠀⠀⠀⢀⢮⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠌⠁⡼⢹⠀⡌⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⡟⢰⣿⡟⠃⠀⠘⠀⠀⠘⠾⣤⠶⠟⠀⢠⡿⣿⢷⣤⣀⠀⠀⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠆⣳⠃⢸⠃⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⢣⠙⡃⢄⢣⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⡏⣹⣋⣟⡩⢯⠛⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡣⠃⠀⢈⢸⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡔⢩⠹⡜⡠⢃⡘⢄⠂⢧⠀⠠⠄⢈⣣⠀⠀⠀⢀⠀⣧⣁⡻⠵⠔⠊⠁⠀⠈⠑⠠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠃⠀⠀⢸⡏⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡠⢊⠅⣁⠚⢕⣮⢱⣑⠢⡑⢌⡸⢀⠣⡀⠀⠀⠈⠑⠀⠐⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠢⢄⣀⣀⣀⣀⣀⣀⢿⠀⠀⠀⠘⠃⠀⠀⠀
⠀⠀⢀⣀⣠⠎⢆⠡⢊⠄⣉⡂⡱⡝⣱⣃⠱⡂⢅⠣⡌⠵⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣹⢿⣛⢏⠳⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠰⠋⠀⢠⠻⣈⠒⡽⠢⡘⢎⣄⡵⢹⢣⠝⣖⠑⣊⠴⣈⠣⠼⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠄⣒⢩⡐⢬⡑⣪⡪⣩⠧⠤⢄⠀⠀⠀⠀⠀⠀⠀
⡇⠀⠀⡎⡰⢁⠎⡡⡒⣇⣾⡰⠹⠼⠃⠀⠈⢞⡰⢂⠆⡱⢈⢏⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠔⠚⣅⢢⠩⢔⡢⡘⡄⡖⢲⢱⡝⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀