eso tilin 🫵🐔XD(,,>﹏<,,)😆
⠶⠶⣶⣿⣆⡁⠐⠛⠛⠛⠳⠂⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠈⠙⠦⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠜⡠⠿⠙⡩⠑⣖⡲⠦⠤⣐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠁⣠⠔⠉⠀⠀⠀⠀⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢃⢀⠓⠐⠥⢄⠉⠃⣍⡓⠵⠁⡉⠉⠓⢒⠤⢄⡀⠀⡀⠀⠤⡀⠀⢶⡏⠀⡰⠁⠄⢀⣀⠀⣀⣀⡤⠤⠂⠀⠰⣄⠁⠀⠀⣀⠀⠀⠀⠀ ⡺⣻⢙⢀⠀⠅⠪⠀⢏⡅⠁⢀⡖⠀⡐⠂⠠⠐⡌⡑⠧⣠⣤⣾⣦⣀⣧⠀⡇⢀⣤⣾⣯⣽⣄⠀⢀⣀⡠⢶⡀⠈⣳⠖⠊⠁⠀⠀⠀⠀ ⣛⣦⣤⡁⡕⠓⣌⠁⡂⡯⣽⢣⡡⢌⠂⡎⡊⡃⠈⡆⠀⡹⣤⣧⡁⠙⠽⡿⣿⡏⠠⣸⣿⠟⠉⠁⠀⠀⣀⡠⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⣷⣶⣿⣿⣷⣴⣢⢒⠒⡦⡗⡣⠀⠁⠃⡒⡈⣉⠿⡋⠀⠊⣿⣶⣟⣻⣀⠁⣀⡁⠀⢀⢲⡀⢀⣄⣠⣍⡹⢋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢥⣤⣤⣤⣤⣽⠻⠻⣿⣷⣧⣾⡥⡴⡖⠒⠉⠡⢓⠈⠙⣀⡟⡋⠉⢍⠙⣰⠋⣹⢦⠀⠸⢓⠿⡩⠟⠝⠀⢰⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣶⣦⣭⣽⣛⣛⣿⣿⡷⡾⢗⢈⣐⣁⡠⠢⢇⡆⠠⠒⠈⡏⠢⠨⠷⢅⢂⡇⡾⣃⠀⠉⣴⠵⠺⠆⠂⠪⠄⠀⠛⠳⢤⣀⣀⣀⣀⣠⣤⣾ ⠉⡻⣿⣿⣿⣿⡿⢋⠋⣈⠠⠋⠙⡈⠠⡀⢁⠌⠉⣅⢈⣧⠤⠖⠶⠟⠻⡛⠻⣷⣷⠎⡁⠕⠒⠱⢜⠈⡀⠊⠁⠣⢄⠰⠫⢹⣿⠟⠛⠉ ⣶⣄⣈⣿⡿⠟⠑⠂⡢⠠⠀⠊⠧⠀⢠⣁⢁⢂⠊⢈⣏⠂⠆⠀⠔⠀⠕⣠⠞⡅⢉⠘⠪⡑⠤⢈⢈⠃⢂⠀⠒⠄⡂⢙⠀⢸⡿⠒⠲⠤ ⣿⣿⣿⣟⡍⠌⠈⢈⠠⠪⠄⠁⠡⡒⠁⠀⠔⢂⡴⠫⢁⡬⠛⠭⠉⢑⡞⢡⡈⠔⠂⡄⠌⠔⣂⣤⣽⠤⠓⠨⠕⡡⠱⡀⠐⠈⣷⡀⠀⠀ ⣿⣿⢟⡿⡅⠅⠎⡆⠐⡈⠌⠄⢀⠉⠉⠁⢠⡏⠂⢀⠎⠈⠄⠀⢨⢏⡀⠈⢅⠁⡀⠐⠀⠀⡃⠢⢏⠂⡅⠛⡄⣑⣪⠃⠀⠸⣿⣷⣄⡀ ⣿⡿⠀⠹⡩⣰⠜⠐⠡⢐⠈⢁⠅⠰⠤⠉⣸⠁⠁⣸⠂⠈⠨⣱⠏⠁⠐⠛⠈⡀⠄⠠⠂⡹⢒⡕⠆⠪⢆⠡⡅⠀⡵⠀⠂⠀⣿⣿⣿⣁ ⣿⠋⡑⠀⡅⡐⡠⠉⡅⠀⠂⡀⡄⢁⠀⡉⢸⠄⣦⡏⢄⣔⣥⠇⠀⠢⠀⠛⠈⠀⡄⠁⣂⠐⠄⠔⠇⣞⠰⡱⢸⠈⡓⠅⠀⠀⢻⠹⡿⣿ ⣿⠠⢖⢄⡛⡙⢅⠤⢠⡀⠆⢀⣀⠨⢁⣄⠐⢧⡺⣿⣼⠞⠉⡡⠁⠰⠓⡀⢀⠠⠠⢹⠠⡁⠄⠌⠬⡢⠴⠫⢠⠮⠻⡂⠀⠀⢸⠀⠹⠌ ⣿⡄⠃⠂⣀⠠⠚⠅⠃⠁⠀⢩⠫⣈⡍⢖⠀⠜⠉⢻⢟⣒⢠⠼⣐⠁⡌⠁⠔⠀⠊⠐⠈⡂⢆⢀⣡⡔⠚⠺⡺⣪⠤⡆⠀⠀⢸⠀⠀⠀ ⣿⣎⠈⢂⡂⠈⡔⠤⠋⡄⣀⠅⣰⢭⠓⡉⠀⠈⣷⡏⢀⠈⣐⡀⠂⠄⠐⠠⠁⠀⠲⠀⠐⣄⣉⡒⠴⡠⣀⠵⣣⠂⠤⡅⠀⠀⣼⠀⠀⠀ ⣿⣧⢉⠀⡫⣣⡈⠈⣁⢃⢱⢅⠬⡊⣀⠠⠈⢴⡟⡨⡂⠀⢀⠠⠆⡂⠂⠂⠀⣨⠀⡁⡠⢢⢨⠓⢠⡬⠓⢮⡷⠄⡿⠂⠀⠀⡷⠀⠀⠀ ⣿⣿⣷⢀⠅⠐⠩⣍⡀⢊⠁⡋⣐⣂⣆⢭⠄⢹⠧⠜⣠⡁⠦⠌⠣⠇⠁⢛⡅⠞⣥⢁⢑⠓⡯⡣⠅⢐⡔⡏⠈⠉⠆⠂⡅⣸⠇⠀⠀⠀ ⣿⣿⣿⢿⣔⠁⠒⣬⡹⣔⡠⠨⣕⢒⠄⠆⣿⢸⡀⢨⠍⠁⠢⢈⠬⠘⣄⢘⠶⣨⡉⠀⡤⢈⢈⠱⠖⠽⢠⠂⠄⢊⠅⠁⢨⡏⠀⠀⠀⠀ ⠿⠋⠁⢀⣹⣧⡝⠩⠸⢄⢝⠡⡂⠂⣧⠌⢓⠹⣧⡇⠠⠀⠠⡨⠀⡁⣬⠉⣽⢎⠱⢀⠂⡅⠌⠔⠅⠠⠺⠁⡐⡂⠁⢀⡞⠡⠀⠀⠀⠀ ⢀⡤⠖⠉⠀⡄⡽⣷⣾⡍⠥⠤⠼⠏⠛⢂⠐⡀⠹⣭⣈⡍⠵⠑⠡⢅⠞⢃⠸⡒⡏⢠⠢⣆⠱⠄⠆⠐⠈⡐⠎⠁⣠⣿⠁⠨⠀⠀⠀⠀ ⠀⠐⠢⡌⣃⠓⠡⢺⣼⣿⠷⢶⣶⣼⣧⣤⣤⡧⣥⣹⣷⣄⠀⠐⡀⠈⠀⠐⠊⣋⡛⠣⢓⣬⠀⠀⠀⠂⠀⠡⣤⣿⣿⠟⢀⠃⠀⠀⠀⠀ ⠀⠀⢀⡠⠤⠓⠛⠙⠃⠉⠊⠐⢀⡶⠟⠋⣀⡴⠞⠋⠻⢿⣿⣦⡀⠁⠁⠢⠈⠁⠑⠒⠈⠀⡂⠀⢂⣤⣵⣿⣿⣿⠡⠒⠀⠀⠀⠀⠀⠀ ⠒⠁⠀⢀⡀⠀⠀⠀⠀⣠⡴⠞⣉⣠⠴⠚⠁⠀⠀⢀⣴⣿⣿⣿⣿⣶⣦⣤⣤⣑⣤⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⣡⠀⣿⣿⣿⣿ ⠿⠿⠿⠿⠿⠇⠀⠀⠈⠻⠿⠻⠻⠟⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢋⣴⣿⠇⠘⠛⠛⠛⠛ ⠀⣶⠶⠶⠶⠶⠆⠀⠀⠀⠀⠻⠿⠿⠿⠷⠶⠶⠶⠶⣶⡾⠾⠿⠿⠿⠶⠶⠶⠶⠶⢂⣴⣿⣿⠟⠠⠿⠿⠿⣿⠀ ⠀⣿⢀⠀⠐⢶⣶⣦⠀⠀⠀⠀⠐⢶⣶⣶⣶⣶⣶⠀⣿⡇⢰⣶⣶⣶⣶⣶⡶⢂⣴⣿⣿⡿⠋⣴⠖⢀⡄⠀⣿⠀ ⠀⣿⢸⣧⠀⠀⠈⠻⢷⣤⡀⠀⠀⢸⠉⠻⣿⣿⣿⠀⣿⡇⢸⣿⣿⣿⡿⢋⡄⢸⣿⡿⠋⡠⢊⣠⣾⡿⢁⡇⣿⠀ ⠀⣿⢸⣿⣆⠀⠀⠀⠀⠉⠻⢦⡀⢸⠀⠀⠈⠻⣿⠀⣿⡇⢸⣿⡿⢋⣴⣿⡇⠸⠋⢀⣠⣶⣿⣿⡿⠃⣼⡇⢿⠂ ⠀⣿⠈⠉⠙⠳⢤⡀⠀⠀⠀⠘⡏⠺⣄⠀⠀⠀⠈⠀⣿⡇⠸⣋⣴⣿⣿⠟⠁⣠⠀⣸⣿⡿⠟⠁⣀⣬⣴⡖⢸⠀ ⠀⣿⢠⡀⠀⠀⠀⠉⠳⢄⡀⠀⠇⠀⠈⠳⣄⠀⠀⠀⠘⠁⢸⣿⡿⠋⠁⣠⣾⡏⠀⠟⠋⢀⣤⣾⣿⣿⠟⡀⣿⠀ ⠀⣿⠸⣿⣦⣀⠀⠀⠀⠀⠸⡶⢦⡀⠀⠀⠘⣷⠆⣠⣾⠀⠸⠋⠀⣠⣾⣿⠟⠁⡀⠀⣶⣿⣿⠿⠋⠁⢘⠃⣿⠀ ⠀⣿⠀⠀⠉⠙⠳⣤⣀⠀⠀⢣⠀⠙⢄⣴⠞⣱⣿⣿⡿⠀⠀⢰⣾⣿⠟⢁⣠⣾⠃⢸⠿⠋⠁⣀⣤⣾⡿⠀⢺⠀ ⠀⣿⠀⠀⠀⠀⠀⠀⠙⢷⣦⣼⣆⠀⢀⡇⣼⣿⠟⠁⣀⡴⠀⣼⠟⢁⣴⣿⣿⠟⠀⠀⢀⣴⣿⣿⣿⡿⢡⡆⣽⠀ ⠀⣿⣀⣀⣀⡀⠀⠀⠀⠈⢳⡀⠙⠂⠈⢰⡿⠋⣠⣾⣿⡇⠀⢀⣴⣿⣿⠟⢁⣠⡖⠀⣼⣿⣿⡿⢋⠤⠤⠀⢾⠀ ⠀⣿⠏⠉⠙⠛⠦⠄⠀⠀⠈⢧⠀⠀⠀⠈⢀⣴⣿⡿⠋⡀⠀⣿⡿⠋⣁⣴⣿⡿⠀⢰⠟⠋⠁⢀⣠⣶⡿⠁⣿⠀ ⠀⣿⢠⡄⠀⠀⠀⠀⠒⠶⣦⣼⣧⡀⠀⢰⣿⡿⠋⣠⣾⠇⠀⠁⢠⣾⣿⣿⠿⠃⠀⠀⢀⣤⣾⣿⣿⡟⢡⡆⣿⠀ ⠀⣿⢸⣿⣦⡀⠀⠀⠀⠀⠹⡍⠛⠻⠆⡾⠋⣠⣾⡿⠋⣠⡄⠀⣿⡿⠛⠁⢀⣤⠆⢠⣿⣿⡿⠟⠋⠴⠿⡇⣿⠀ ⠀⣿⠘⠋⠙⠛⠷⢦⣄⠀⠀⢳⠀⠀⠀⢀⣴⡿⠋⣠⣼⡿⠀⠈⠁⣀⣴⣾⣿⡟⠀⠜⠋⣁⣤⣴⣶⠆⣰⣇⢻⠀ ⠀⣿⠀⣷⣄⠀⠀⠀⠈⠙⢷⣾⣧⣄⠀⣿⠟⢁⣼⡿⠋⠀⠀⢠⣾⣿⠿⠋⠁⠀⠀⣠⣾⣿⣿⡿⢃⣼⣿⡇⣹⠀ ⠀⣿⠀⣿⣿⣷⣄⠀⠀⠀⠀⢳⡀⠈⠀⢁⣴⡿⠋⣠⣶⡇⠀⠟⠉⢀⣠⣤⣶⠃⢰⡿⠟⠟⠍⣀⣉⠋⣿⡇⢿⠀ ⠀⣿⠀⣏⠀⠀⠉⠙⠳⢶⣤⣄⣷⡀⢰⡿⢋⣠⣾⠟⠋⠀⠀⢠⣶⣿⣿⠿⠇⠀⠁⣀⣤⣶⣿⠿⢃⣼⣿⡇⣿⠀ ⠀⣿⠀⣿⣷⣤⡀⠀⠀⠀⠀⠙⡟⠃⢈⡴⠟⠉⢀⣠⣴⠂⠰⠿⠛⠉⠀⣀⡄⠀⣾⣿⠿⡻⣍⣷⣿⣿⣿⡇⢿⠀ ⠀⣿⢸⣿⣿⣿⡟⠓⠶⢤⣀⡀⠘⠆⠉⢀⣤⣶⡿⠟⠋⠀⣀⣠⣴⣾⣿⠟⠀⠈⣉⣤⣥⡶⢅⣾⣿⣿⣿⡇⢸⠀ ⠀⣿⡈⠻⢿⣿⣷⣄⠀⠀⠀⠉⠙⢠⣶⠿⠛⣉⣤⡶⠀⣸⠿⠟⢋⣉⣤⠂⢠⣿⣿⡿⠟⣡⣿⣿⣿⠿⠛⢁⣼⠀ ⣄⡙⠻⢷⣤⣉⠛⠿⣷⣦⣤⣀⠀⢈⣠⣴⡿⠟⠋⠀⢀⣤⣶⣾⠿⠟⠁⠀⠋⢩⣈⡔⠛⡿⠛⢉⣠⣴⠾⠛⢉⣠ ⣿⣿⣶⣄⡉⠛⠷⣦⣌⠀⠀⠈⠰⠛⠋⣁⣤⣶⠟⠀⠜⠋⢉⣀⠄⢀⣴⣶⣿⣿⡿⠋⣀⣥⡿⠟⢋⣡⣴⣾⣿⣿ ⣿⣿⣿⣿⣿⣷⣦⣈⠙⠻⠂⣀⣴⣶⣿⡿⠟⠁⠀⠐⠒⠛⠛⠁⠀⠛⠛⠛⠹⢡⠉⠛⠋⣅⣴⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡿⠋⣠⣾⠿⠛⢉⣤⣄⠐⠻⠀⣿⣿⠀⠖⠋⣁⣤⡶⠓⡔⣢⣈⠀⠈⡟⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⡿⠋⠐⢊⣡⣴⣾⣷⣤⣈⠙⠻⣶⣤⣿⣿⣤⡶⠟⠋⣁⣤⣾⣿⣿⣿⣿⣷⣦⣄⣙⢿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⡉⠛⠋⢁⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⠀⠀⠉⠛⠿⣿⣾⣶⣿⢿⠻⠛⠿⡿⣾⣶⣷⣿⠿⠛⠈⠀⠀ ⠁⡟⣾⣤⣀⠀⠀⠀⠀⡀⣄⣷⣿⠈⠀⠀⠀⠀⣀⣦⣿⠻⠀ ⡿⣾⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⢿⠀⠀⠀⠀⠀⠀⡄⣿⢹ ⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⣿⢸⠀⠀⠀⠀⠀⠀⣇⣿ ⣿⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣿ ⣆⣿⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⣿⢠ ⠀⣄⣷⢿⠙⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠛⡿⣴⢀⠀ ⠀⠀⠀⡀⣄⣧⣿⠀⠀⠀⠀⠀⠁⠟⣿⣷⣿⣴⣠⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠇⣿⣴⢀⡇⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⣿⣸⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⣿⠉⠉⠀⠀⠀⠀⠁⠉⡏⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⡟⣿⣶⣶⣷⢿⠟⡿⣾⣶⣶⣿⠻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡿⣿⠀⠀⠀⠀⣀⣤⢀⠀⠀⠀⡄⣿⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⣆⣿⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⣿⢠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣆⣿⠙⠀⠀⠀⠀⠀⠃⠈⠏⣿⢠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣄⣿⠻⠉⠇⠿⠀⠋⣿⣾⢂⠀⠀⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⣤⣷⣿⣿⣿⣶⣠⠀⠠⠀⡀⠠⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⠀⠀⠀⠀⠀⠀⠀⡧⢪⠀⣄⠦⠝⠋⠑⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⠀⣄⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⡦⠰⣼⢡⣴⣀⣥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠸⠀⠀⠀⠀⠀⠁⣽⠀⡀⢔⠀⠀⣀⣀⢂⠥⠤⠢⠒⠒⠉⠭⠊⠁⠀⠀⠀⡀⡳⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠈⠁⠛⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⡆⠘⠀⠀⠈⠁⡞⢐⡀⢟⠻⠟⠳⠁⠀⠀⢀⠀⠉⠀⠄⣔⠀⡀⣀⠤⡲⠳⠈⡈⢦⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠟⠾⠶⡶⠐⡄⠦⡰⣤⠶⠀⣇⢀⡄⡴⠇⠾⠾⠕⢸⡄⠴⢄⠶⡐⢸⠾⠾⠗⠀⠃⠿⠶⡦⠐⠀⠀⠀⠀⠀⠀⠀⠀⣅⠘⠁⡞⣠⢁⠋⠖⣶⣐⣄⡳⠬⠤⠔⠧⡂⡒⢒⠒⠐⠉⠉⠰⠀⡀⢀⡀⢌⢢⣵⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢹⠒⡬⣊⡄⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⣀⠄⠴⠪⡒⠑⠉⡄⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠘⠀⠀⠀⠀⠀⠀ ⠀⠄⠻⠋⠶⠓⠘⠄⠰⠀⢳⠛⠛⢹⠀⠳⠙⠶⠳⠘⠄⠼⠀⠲⠙⠢⠛⠰⠇⠋⠛⠙⠎⠛⠁⠖⠺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠈⠀⠀⠀⠀⠀⠀⠀⠀⡄⠹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢆⡦⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⠀⠀⣀⠀⡀⠀⠀⣰⠀⠀⢰⢀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⢣⠀⠀⠀⠎⠀⠀⠀⠀⠄⡮⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠃⠉⠀⠙⠙⠁⠉⠈⠉⠈⠁⠈⠂⠊⠉⠀⠈⠀⠸⠁⠈⠘⠉⠈⠘⠆⣉⠹⠉⠂⠙⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⡆⣶⠀⠀⠀⠀⢆⠈⠀⢸⠘⠁⠀⠁⠋⢤⣏⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⠀⠀⠀⠀⠀⠀ ⠀⠀⡀⣘⣀⣀⡀⣤⣀⣀⣃⠀⠄⣤⠰⣀⢀⢣⢠⡀⣀⢰⣤⡀⣀⢆⢀⠀⢀⠀⣀⣀⣰⡠⣠⣗⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠃⠀⠀⢆⠈⢸⢹⢼⡵⢀⡇⠀⣿⢧⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠈⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠁⠘⠀⠀⠂⡿⠀⣾⣼⠀⠀⠁⢞⣼⢰⢰⡁⠸⡇⠀⣎⡀⢷⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢸⠀⠀⠀⠀⠀⠀⠀⠁⠊⠤⢀⠃⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⢠⡀⢖⠖⣖⡰⣄⠀⡆⣴⢠⠇⠈⡀⢸⡂⣰⡤⣤⠀⣇⡶⡖⢠⣧⠀⠖⣶⣤⠀⢹⠀⠀⠁⠋⣼⠀⠀⠁⣞⣀⠀⠀⠁⠊⠴⣀⠀⠃⠂⡆⢈⡄⡧⠀⢀⠀⡀⢳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠁⠊⠔⡠⢀⠀⠁⠐⡧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠈⡀⣀⠀⠀⠀⠀⣀⠀⢀⠁⡿⢂⢸⠀⠁⡶⢀⠀⠋⠔⢀⠈⠀⠀⠀⠀⠠⠀⡄⠱⠀⡀⠑⠀⠀⡀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠋⠔⡠⣀⠀⠀⠁⠂⠠⢀⠀⡏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⠀⢇⡴⠖⠧⠞⠃⠖⠐⠄⠿⠹⠛⠖⠰⠁⠛⠾⠶⢰⡀⣤⠗⠄⠸⠀⠀⡀⠱⡆⣹⢌⢸⠀⡇⢡⠚⡠⢀⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢣⠈⠀⠀⠀⠀⡀⢢⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⢰⠀⠀⠀⠀⠀⠀⠀⠁⠒⣤⣁⣰⣀⣀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡀⠀⠠⢄⢠⠀⢠⠀⠀⠤⢠⠀⠀⠀⠀⠀⠀⠀⠀⢠⢄⠀⠀⠀⡇⣸⢻⠤⢹⠚⡴⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⠙⠀⠀⠀⠀⠀⣄⠳⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠀⠁⠉⠂⠀⠀⠀⡀⠀⠁⠉⠉⠈⠀⠀⠀⠀⠀⠀ ⠀⠁⠁⠉⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡏⢞⢴⣠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢢⠈⠀⠀⠀⠀⠀⣄⠲⠙⠀⠀⠀⠀⠀⠀⠀⠀⠁⡾⢀⣀⠀⡀⠼⠘⠀⠀⠀⠀⠀⠂⠀⠀⠀⡀⠀⠀⠀⠀ ⡏⡏⣀⠁⢸⣼⣻⢿⡾⣋⢾⠀⠀⠀⡞⣦⠸⠀⠀⠀⠀⠁⠃⠋⠴⠓⠀⠀⠀⠀⠋⠔⠠⣉⠔⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠳⠈⠀⠀⠀⠀⠀⡀⢦⠙⠀⠀⠀⠀⠀⠋⡼⢀⠀⠀⠀⠀⡇⡔⢿⠙⠉⠂⠓⢠⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⡆⠀⣀⠀⣀⣀⠀⣄⣤⢀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⡗⡧⣤⣀⣞⠀⠀⠋⡱⠈⢄⠶⢙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⠙⠀⠀⠀⠀⠀⠀⡀⢦⠙⠁⠋⡾⣧⠈⠀⠀⠀⠀⠁⡇⠡⣗⡆⠼⠊⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠘⠀⣿⠀⠁⠀⠀⡆⡄⠀⡄⠀⠀⡟⢀⡄⡲⠤⠒⡙⢫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠳⠀⠀⠀⠀⠀⠀⠀⡀⣦⢙⡐⠢⢻⠀⠀⠈⠕⢂⡜⡙⡧⢃⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠁⠙⠀⡞⠀⠀⠀⠀⠀⠸⢸⠀⣿⠀⡅⠀⠀⠀⠀⠀⠀⠀⠀⢍⠯⠤⠤⠤⠤⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢳⠀⠀⠀⠀⠀⠀⠀⠀⡄⢷⠢⢻⠀⠀⠠⠈⠋⢎⠡⡼⠳⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⢾⠸⡇⡿⢸⠃⢸⠀⠀⠀⠀⠀⢽⢸⠀⣿⠏⣺⠀⠀⠀⠀⠀⠀⠀⡄⠳⡉⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠋⠚⠒⠒⠶⠴⠤⣤⢣⠈⠀⠀⠀⠀⠀⠀⠀⠀⢫⣗⣀⠤⡓⠟⣻⠤⢋⡤⠘⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⢸⢹⡏⣧⢼⣧⢠⠀⠀⠀⠀⠀⣤⢸⠀⣿⢸⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠿⣿⣿⣿⣿⣿⠿⠙⠀⠀⠀⠀⠀⢏⠑⠈⠀⠀⠀⠀⠀⠁⣿⡈⠁⠟⣷⣼⠒⢎⢁⡴⠎⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⢨⣷⡇⠀⢻⡿⠀⠀⠀⠀⠀⠀⠀⢰⠀⡄⠀⠀⠀⠟⢸⠤⠒⠁⠈⠉⠜⣲⠐⠀⠂⠐⠈⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠉⠒⠅⡫⢛⠟⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⠈⠀⠃⢠⠀⣄⠢⠀⠀⠀⠀⡟⣸⣿⣶⣫⡷⣱⢌⠱⣡⡜⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠠⢠⡄⡠⠀⣄⢰⠀⠀⠀⠀⠀⠁⠉⠉⠉⠂⠒⠒⡖⣴⢸⠀⠀⠀⠀⣑⠀⠄⠂⠄⠀⠀⡠⠒⠀⠉⠀⠠⠀⠀⠥⠤⠀⡁⣀⠀⠀⠁⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠻⣰⠀⠀⠀⠀⠀⠀⠀⡿⣴⡏⣱⢞⢣⣹⠤⡘⡱⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠒⠐⠤⠤⡠⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⡀⢀⠠⠐⠁⠈⠀⠀⠀⠀⠒⢅⠑⠀⠠⠂⡁⠢⠈⠄⡀⢀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣠⠀⠀⠀⠀⠀⠀⠀⡞⣿⡤⡟⡄⠟⢤⠋⣠⠞⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⢠⠀⠀⠀⠀⠂⠀⠀⠀⠁⠟⠺⠕⠀⠒⠀⠀⡈⢄⠐⠀⠀⡀⡠⠲⠑⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢀⠀⠀⠀⠀⠀⠀⠀⡟⣷⢨⢱⢺⣡⠲⣅⠚⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⡇⠀⠀⠁⣿⣿⢸⠀⣀⠠⠈⠀⠀⠀⡀⠠⠀⠀⠀⠀⠀⢀⣧⣿⣿⡧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠀⠀⠀⠀⠀⠀⠀⠀⡿⢸⡿⡄⡏⣄⡈⠼⣀⠀⠀⡁⠌⢠⡇⣸⣤⠀⡼⣠⢿⠸⠀⠀⠀⠀⠀⠀ ⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠏⢠⠈⠉⠉⠉⠁⡍⠉⠏⣿⣿⣿⢹⠀⠀⠀⠀⢄⠢⠁⠀⡀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡖⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⢀⠀⠀⠀⠀⠀⠀⠀⡟⣽⠇⢱⢣⣹⢖⡠⠀⠀⠀⠀⡀⢀⢀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠈⠀⠀⠀ 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