@vjm7at
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠤⣤⢼⣩⡥⡤⣤⠤⢄⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠠⣔⠊⡱⠁⢀⠎⠀⠀⠀⠑⡄⠀⠉⢆⡈⠢⢄⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡔⣽⣁⣀⣸⠀⠀⠀⠀⡰⠣⣀⣀⣈⡎⠉⠣⡀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡜⠀⢀⠀⠀⠀⢇⡠⠔⠋⠀⠀⠀⠀⠀⠀⡀⠀⢣⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡇⠀⠑⠀⠀⡠⠀⠁⠀⣄⠀⠀⢠⠄⠀⠈⠊⠀⢸⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⣄⠀⠈⠀⠀⠀⠉⠀⠀⠀⠁⠀⣄⠀⠀⡜⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠉⠀⠀⠐⠅⠀⠀⠀⠪⠂⠀⠀⠉⠀⡰⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠸⠇⠀⠀⠀⣶⠀⠀⠀⠸⠃⠀⡰⠁⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⢠⡆⠀⠀⠀⢐⠄⠀⠀⡜⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⣦⠀⠀⠀⢠⠊⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠦⣀⣀⣀⡠⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣦⣄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⡄⣸⣿⣿⠟⠛⠉⠉⠛⠻⣿⣿⣿⣇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡄⠀
⢤⣾⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠃⠀
⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⠇⠀⠀
⠀⠙⠉⠋⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣶⣾⣿⣿⣿⡻⡅⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠿⣿⣿⣿⣷⣤⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣧⡀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡖
⠀⣠⣤⣀⠀⠀⠀⠀⠀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠠⣾⣿⣿⣿⠃
⢸⣿⣿⣿⡇⠀⠀⠀⠸⣿⣿⣶⣤⣄⣀⣀⣠⣴⣾⣿⣿⡿⠃⠀
⠘⢿⠿⡿⠇⠀⠀⠀⠀⠙⠻⢿⠿⣿⣿⣿⣿⣿⡿⢿⠿⠋⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⡄⢠⣤⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢦⡀⠛⣿⠁⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢻⡆⠓⡆⠛⣶⠀⠀⣿⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢹⡆⠓⡄⢹⡆⠀⠉⣷⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⢹⠈⢹⡇⠀⡿⣤⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⡀⠈⣿⣀⣹⠀⠙⠛⠃⠘⠛⢣⣄⠀⠀
⠀⠀⠀⠀⣰⠶⠞⠛⠛⠛⠛⠳⠶⣆⡿⠀⠀⠀⠀⢀⣀⣤⠀⠙⣷⠀
⠀⠀⣤⠾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠸⠿⠿⠀⠀⣉⣷
⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿
⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⡟⠛⠀
⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀
⠸⢧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀
⠀⠺⣧⡀⢠⣀⠀⠀⣀⣟⠛⠛⣧⣄⡀⠀⠀⣸⡇⠀⣿⠉⠀⠀⠀⠀
⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⣠⠤⣄⣀⣠⠤⣄⠀⠀⠀
⠀⠀⠀⡼⢡⠖⢦⠉⡴⠲⡌⢧⠀⠀
⠀⡴⢋⣁⡘⢦⠾⠀⠷⡴⢃⣈⡙⢦
⠰⡇⢯⠀⡷⠀⢠⠤⣄⠀⢾⠀⡽⢸
⠀⠹⢬⠉⢁⡴⠋⠀⠘⢦⡈⠉⡥⠏
⠀⠀⠘⣆⠘⢧⣤⠤⣤⡼⠃⣰⠃⠀
⠀⠀⠀⠈⠳⢤⣀⣀⣀⡤⠖⠁
⡤⠒⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠒⢤
⢣⡀⠀⠉⠲⢤⣀⡀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠉⠀⢀⡜
⢸⡉⠒⠄⠀⠀⠀⢉⡙⢢⠀⠀⡔⢋⡉⠀⠀⠀⠠⠒⢉⡇
⠀⠉⢖⠒⠀⠀⠀⣇⠀⣸⠀⠀⣇⠀⣸⠀⠀⠀⠒⡲⠉⠀
⠀⠀⠀⠉⠙⠫⠤⠚⠉⠀⠀⠀⠀⠉⠓⠤⠝⠋⠉
⠀⠀⠀⠀⢀⣤⠤⣄⠀⠀⠀⠀⣠⠤⣄⠀⠀⠀
⠀⠀⠀⢠⠞⠀⠀⠈⢷⠀⠀⡜⠃⠀⠈⢳⠀⠀
⠀⠀⠀⣾⠀⠀⠀⠀⠘⡇⢰⠅⠀⠀⠀⠸⡇⠀
⠀⠀⠀⣿⠀⠀⠀⠀⠀⡇⣾⠀⠀⠀⠀⢸⠃⠀
⠀⠀⠀⢹⡀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⡾⠀⠀
⠀⠀⠀⠸⡇⠀⠀⠀⠀⠷⠿⠀⠀⠀⢰⠇⠀⠀
⠀⢀⡴⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢶⡀⠀
⢰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄
⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷
⢹⠀⠀⠀⢰⡆⠀⠀⠀⠀⠀⠀⢀⣄⠀⠀⠀⡟
⠈⢧⡀⠀⠀⠀⠀⠀⢄⡀⣀⠀⠀⠁⠀⠀⣸⠃
⠀⠈⠻⢦⣀⠀⠀⠀⠚⠙⠂⠀⠀⠀⣀⡴⠋⠀
⠀⠀⠀⠀⠈⠉⠓⠒⠲⠶⠶⠒⠒⠋⠁⠀⠀⠀
⣠⣶⣒⠒⠲⣄
⠹⠿⠿⠃⠀⣿
⠀⣀⡴⠒⡚⢻⠒⢦⣄⢀⡴⠖⠚⠛⠻⢷⣶⣄⠀⣶⣶⡄
⢰⡏⠀⣾⡁⢸⡀⣠⣿⣿⣶⣶⣷⡆⠀⠈⣿⣿⡧⢉⣁⡀
⠸⣷⣄⡙⠻⠿⡿⠟⠋⠈⠉⠉⠉⠀⠀⢠⣿⣿⠇⠙⠛⠃
⠀⠈⠻⢿⣷⣶⣧⣀⡀⠀⠀⠀⠀⢀⣴⣿⠟⠁
⠀⠀⠀⠀⠀⠉⣟⠿⣷⣆⢀⣠⡶⠿⠋⠁
⠀⠀⠀⠀⠀⠀⠹⣆⡀⢹⡏⠉⠀
⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⠇
⠀⢠⠖⠤⢤⠤⠤⡜⢁⣕⣍⣀⣳⡀⠀
⠀⢸⡀⠀⠀⠀⠀⠧⠸⠧⣀⡿⢆⡧⠀
⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢉⡧⠤
⠐⢳⠂⠀⠶⠀⠀⡠⡀⠀⠛⠀⠐⡖⠒
⠀⢉⠧⣂⣀⣠⣔⠯⢷⣀⣀⣠⠞⠉⠁
⠀⠀⠀⡏⠀⢇⠘⠒⠦⢮⠁⠈⡆⠀⠀
⠀⠀⡜⠑⠒⡎⠀⠀⠀⣨⠖⠚⢱⠀⠀
⠀⠀⢣⡀⠀⢘⣦⢴⣻⡀⠀⠀⡸⠀⠀
⠀⠀⠀⠉⠒⠉⠀⠀⠀⠈⠒⠉
⠠⣶⣿⣿⣷⡶⠀⠀⠀⣀⡴⣖⡦⡀⢀⣤⢤⡤⣀⠀
⠀⠈⣿⣿⣿⠀⠀⠀⢰⢯⡽⣞⣵⡳⣟⢮⡗⣯⡽⡀
⠀⠀⣿⣿⣿⠀⠀⠀⠸⣏⣾⢳⡞⣽⢞⡯⣞⣳⣽⠁
⠀⢀⣿⣿⣿⠀⠀⠀⠀⠈⢺⡳⣏⣟⢾⣹⣳⡝⠂⠀
⠀⠻⠿⠿⠿⠗⠀⠀⠀⠀⠀⠈⠙⢮⠯⠃⠉⠀⠀⠀
⠀⠀⠀⢀⡄⣄⡀⢀⣀⣀⡜⠓⣄⠤⢤⣀⠀⠀⠀⠀
⠀⠀⠀⣾⠀⠀⠉⠉⠉⠩⣉⣀⣼⡒⠊⠁⡃⠀⠀⠀
⠀⠀⠀⡝⠀⠀⠀⠀⠀⠐⠍⠵⢫⣧⡰⡔⠀⠀⠀⠀
⠀⠀⣸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢁⣼⠤⠄⠀⠀
⠀⠀⠨⣧⠀⠘⠃⠀⠀⡤⠄⠀⠙⠁⠀⣚⠒⠀⠀⠀
⠀⠀⠠⠚⠹⢤⣀⣀⠀⠀⢀⣀⡤⠜⠉⠂⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠁
⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⢰⠁⡠⠐⠋⠉⠉⠉⠑⡲⠩⡉⠑⣆⠀
⠀⠀⠀⠀⠀⠸⡜⠀⠀⠀⠀⠀⠀⠀⠈⠘⠄⠀⢸⠀
⠀⠀⠀⠀⠀⢀⠃⣀⣆⠀⣤⠀⠀⠀⠀⠀⠰⣠⠞⠀
⠀⠀⠀⠀⠀⢈⡞⣿⣷⠈⠛⢄⠀⠀⠀⠀⢠⠇⠀⠀
⠀⠀⠀⠀⠀⠘⡄⢠⠀⠀⠀⠈⠆⠀⠀⣠⡞⠀⠀⠀
⠀⠀⠀⠀⣠⠞⣿⣿⣷⢶⣶⣾⣦⣴⠊⠁⠉⢦⡀⠀
⠀⠀⠀⡴⠁⠀⣽⣿⠃⣾⣿⡟⠃⠘⢕⠄⠀⠀⢱⡀
⠀⠀⡸⠀⠀⢰⣷⡿⠀⣿⣿⡇⠀⠀⢘⢸⠀⠀⠀⡇
⢀⣴⠓⡒⠒⢿⣿⡇⠀⣿⣿⡇⣀⣀⣎⠂⠀⠀⠀⢹
⣼⠁⠀⠀⠀⡀⡗⡊⡉⠛⢿⠋⠀⠀⢻⡄⠀⠀⢀⡞
⢱⠀⠀⠀⠀⢸⠃⠀⠀⠑⡀⠉⠢⠀⠀⢙⡶⠶⠋⠀
⠈⠳⣄⠀⠀⣸⡀⠀⠀⠀⠐⡀⠀⢁⡠⠞⠀⠀⠀⠀
⠀⠀⠀⠉⠉⠀⠳⣄⠀⠀⢀⢇⡴⠋⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀