⠡⠌⡐⠠⢀⠂⠤⠀⠤⠀⠤⢀⠂⠄⠂⠄⠂⠤⠐⠠⠠⠄⠠⠄⡐⠠⠐⠠⠐⠠⠄⠂⠄⠤⠀⠤⢀⠂⠄⢂⠰⢀⠰⠀⡄⠂⠤⢀⠂⠤⠐⠠⠐⠠⠐⠠⠄⠠⠄⠠⠄⠂⠄⠂⠄⡀⣶⣦⣄⠠⠀⠄⠠⠐⠠⠄⠂⠄⠂⠤⠐⠠⠠⠄⠠⠄⡀⠆⡀⠂⠄⠂⠤⠐⠠⠠⠄⠠⠄⠂
⢂⠂⠄⡁⠂⠌⠠⠑⠠⢉⠐⠠⢈⠂⡉⠄⡁⢂⠡⠘⠠⢈⠁⡂⠄⡑⢈⠡⢈⠐⡈⠄⠃⠄⡉⢐⠠⢈⠂⡐⠂⠄⢂⠡⢀⠁⠂⠄⡈⠄⡁⠊⠄⡁⢊⠐⡈⠡⢈⠒⡈⠌⠠⢁⠂⢼⣿⣿⣿⣷⡁⠌⠠⠑⠂⠌⡀⠃⠌⠠⢁⠊⡐⢈⠁⢂⡐⠐⠠⢉⠠⢁⠂⠡⠘⠠⢈⠡⢈⠁
⠂⠌⡐⠠⠁⠌⠠⢁⠒⠠⢈⡐⢀⠂⡐⠠⠐⡀⢂⠁⡂⢁⠂⡐⠄⡐⢀⠂⠄⢂⠐⡈⢐⠈⡐⡀⠆⢂⠐⠠⢁⠘⡀⢂⠻⣿⣷⣆⡐⠠⢀⠁⢂⠐⡀⠂⠄⡁⢂⠐⠠⢈⠁⠂⠌⢸⣿⣿⣿⣿⣷⠈⠄⠡⢈⠐⠠⠁⠌⡐⢀⠂⡐⠠⠌⠠⢀⠁⠆⡀⠂⢄⠨⠀⠅⢂⠁⠂⠤⠈
⡁⠆⠠⠁⠌⠠⢁⠂⠌⡐⠠⠐⡀⠂⠄⡁⢂⠐⡀⠂⠄⡁⢂⠐⠠⠐⠠⢈⠐⡀⢂⠐⠠⠌⠐⡀⠂⠄⡈⣐⠀⢂⠐⡀⢂⠙⣿⣿⣷⣦⣄⡌⢀⠂⠄⡁⢂⠐⠠⠌⡐⠠⢈⠐⡈⠘⣿⣿⣿⣿⣿⡇⢈⠐⠠⠈⠄⡁⢂⠐⡀⠂⠄⠡⢈⠐⠠⢈⠐⠠⢁⠂⠄⠡⠈⠄⡘⢀⠂⡁
⡐⢈⠡⠈⠄⡁⠂⠌⡐⠠⢁⠂⠄⡁⢂⠐⡀⠂⠄⡁⠒⡀⠂⠌⠠⣡⣦⢀⠂⡐⠠⢈⠐⡈⠐⠠⢁⣲⣾⣿⣿⣦⣆⡐⡀⠂⠌⠻⣿⣿⣿⣿⣾⣵⣦⣐⠠⢈⠐⠠⢀⡁⢂⠐⠠⠁⣿⣿⣿⣿⣿⡏⠠⠈⠄⡁⢂⠐⡀⠂⠄⠡⢈⠐⠄⢊⠐⠠⢈⠐⠠⠈⠄⠡⢈⠐⡀⢂⠐⡀
⠄⡁⢂⠁⠂⠄⡁⠂⠄⡁⠂⠌⡐⢀⠂⡐⠠⢁⠂⠄⠡⢀⠡⠈⣴⣿⣿⣷⡐⠠⢁⠂⡐⠠⢁⣲⣾⣿⠏⢉⠻⣿⣿⣿⣷⣮⣀⠂⠌⡙⢿⣿⣿⣿⣿⣿⣷⣤⡈⠐⠠⠐⠠⠈⠄⠡⢸⣿⣿⣿⣿⣧⠶⡧⣔⠀⢂⠐⠠⠁⠌⡐⠠⢈⠐⠠⢈⠐⠠⠈⠄⠡⢈⠐⡀⠂⠄⡁⠂⠄
⢂⠁⡂⠌⡐⠠⠄⡁⠒⠠⢁⠂⡐⢀⠂⠄⡁⠂⠌⠠⢁⠂⠄⡁⣿⣿⣿⣿⣧⠐⡀⠂⠄⡁⣶⣿⣿⠃⡀⠂⠄⡈⠻⣿⣿⣿⣿⣷⣤⠐⡀⠌⠛⠻⢿⣿⣿⣿⣿⡌⠠⢁⠂⠡⢈⠐⡀⢻⣿⣿⣿⡇⠀⠑⢌⠳⣄⠌⠠⢁⠂⠄⡁⠂⠌⡐⠠⠈⡄⠡⢈⠐⡀⠂⠄⡑⠈⠄⡁⠂
⢂⠡⠐⠠⢀⡁⠂⠄⡁⠒⡀⢂⠰⠀⠌⡐⠠⠉⠄⡁⢢⠚⡍⠉⢹⣿⣿⣿⣿⣇⣤⣓⣶⣸⣿⣿⠃⠠⢀⠁⠂⠄⠡⠈⠻⢿⣿⣿⣿⣷⣄⠂⠌⡐⢀⠙⢿⣿⣿⣿⡔⠠⢈⠐⡀⢂⠐⡀⣿⣿⣿⡇⠀⠀⠀⠙⠺⣆⠁⠂⠌⡐⠠⠁⠂⠄⡁⠂⠄⡁⢂⠐⠠⢁⠂⠄⠡⠂⠄⡁
⠂⡄⢃⠐⠠⡀⠅⢂⠐⠡⠐⡀⢂⠁⢂⠐⠡⢈⠐⢰⠃⢰⠁⠀⣸⣿⣿⣿⣿⣿⡆⣀⣤⡿⣿⠋⢷⣖⡲⢌⡡⠈⠄⡁⠂⠌⡙⢿⣿⣿⣿⣧⠐⡀⢂⠐⡈⠻⣿⣿⣿⣆⠄⢂⣰⠴⠒⠓⣿⣿⣿⡗⠒⠤⡀⠀⠀⠀⠉⠚⠒⠤⠦⠥⠬⠴⠤⠥⢦⣐⠠⢈⠐⠠⠈⠄⡡⢈⠐⡀
⠡⠐⠠⢈⠐⠠⠈⠄⡈⠄⠡⠐⠠⠈⠄⢊⠐⠠⠈⡏⢀⠆⢀⣾⢻⣿⣿⣿⣿⣿⡿⠛⡝⢀⣟⠀⡸⡜⠀⠀⠑⣌⠐⠠⢁⠂⠄⠠⢈⠻⢿⣿⣇⠐⡀⢂⠐⠠⠘⢿⣿⣿⣞⠉⣀⣀⡴⠀⠿⣿⣿⡇⠀⡀⠀⢦⡀⠀⠀⠀⢣⠀⠀⣀⠀⢀⣀⠤⠤⠬⢕⡦⡈⠄⡁⢂⠐⡀⠂⠄
⡁⢊⠁⠄⡈⠄⡁⢂⡾⠈⠄⡁⢂⠡⠈⠄⡈⠄⢱⣇⡾⠁⣾⠁⠸⣿⣿⣿⣿⣯⣤⠊⠀⢸⢀⠙⢧⣣⣞⡉⠒⠌⠦⣁⠂⡈⠄⡁⠂⠄⠂⠌⡉⠐⡀⠂⠌⠠⠁⣤⣟⠿⣿⡿⢿⡟⣀⡀⠀⠀⠉⠣⣄⠘⣄⠀⢱⠀⠀⠀⠀⢇⠀⡇⠨⠁⠄⢂⠐⡀⢂⠙⣽⡄⠐⡀⢂⠐⡁⠂
⠄⡡⢈⠐⡀⢂⠐⠸⣇⠐⠠⠐⡀⢂⠁⢂⠐⣈⡼⡏⠀⢸⠸⡀⠀⢸⣿⣿⣿⣟⢮⠀⡀⡗⠚⠓⠾⣿⣧⣷⣇⢠⠻⡉⠡⠐⠠⢀⠡⢈⠐⠠⢈⠐⠠⠁⢌⡴⢛⡷⠤⡀⠀⠀⢸⠋⢸⠃⠀⠀⢀⠀⠈⢶⣬⡆⠈⣇⠀⠀⠀⠘⡄⢻⡀⠡⠈⠄⢂⠐⡀⢂⢹⡇⠐⠠⢈⠐⠠⠁
⠂⠔⡀⢂⠐⠄⡈⠐⢫⠑⠣⢴⣀⡦⠼⢒⠽⠋⠀⡇⠀⠇⡇⠣⡀⠀⣿⣿⣿⣟⡸⡄⣇⡇⠀⠀⠸⣽⢿⣻⡗⢺⠳⣇⠡⢈⠐⡀⠢⢀⠌⠠⡁⠌⠠⠁⣾⡱⠁⠀⣀⣬⣦⡀⢧⣊⡙⡄⠀⠀⢸⠀⠀⠀⢫⢿⡆⣸⠀⠀⠀⠀⠘⡀⠙⣤⠁⠌⡀⢂⠰⠀⠌⠠⢈⠐⠠⡈⠄⡁
⡁⠆⡐⠠⠌⡐⠠⢁⠂⣳⠤⠤⠤⠄⠒⠁⠀⠀⡸⠀⠀⢺⠰⡀⠈⠂⡏⡟⠿⣿⡌⠉⠳⢟⣀⣀⠀⣨⢞⣽⠥⣲⠻⠅⡀⢂⠐⠠⢁⠂⠌⡐⠠⠈⠄⢡⡏⡇⠀⣼⠁⠈⠘⠛⠁⠉⠀⡅⡷⡀⢸⠀⠀⠀⠀⠘⡇⡽⡀⠀⠀⠀⠀⢡⠀⠈⠳⣄⠐⡀⢂⠡⢈⠐⠠⢈⠐⡀⢂⠄
⡐⠄⢂⠁⠂⠄⡁⢢⠞⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠈⣆⠣⡴⣶⣇⠘⢄⡗⢳⠴⠊⣉⣞⡟⠀⣷⡿⡏⠀⡿⠁⣴⡀⠂⠌⡐⠠⢈⠐⠠⡁⠌⡐⡼⢸⠀⡃⢿⢀⡀⠀⠀⡀⠀⠀⣧⠃⠱⣸⠀⠀⠀⠀⢠⢧⠁⠱⡀⠀⠀⠀⠈⡆⠀⠀⠀⠉⠒⠤⣂⡄⢈⠐⡀⢂⠐⡀⠂
⡐⠈⡄⠈⠔⠠⢰⠋⠀⠀⣀⣀⣀⣀⡤⡒⠁⠀⠀⠀⢠⠂⠙⣗⣷⠉⠺⢶⡬⠵⠄⠛⠿⠛⠋⠀⠀⠘⣄⡇⠐⠠⢁⠀⡙⠲⣄⠠⢁⠂⠌⡐⢀⠂⣸⠁⠇⠀⡅⠈⣶⣬⢷⡀⠙⢲⠳⣟⣲⣯⡟⠀⠀⠀⠀⢸⠈⡆⠀⠘⢄⠀⠀⠀⢇⣀⣀⣩⣖⣢⢤⣀⡉⠙⠒⠤⡆⠐⠠⠁
⠄⠃⠄⠡⢈⠐⢻⢰⠊⢉⠉⠄⣾⠡⢺⠋⠀⠀⠀⠀⡎⠀⠀⠈⣿⢩⣽⣆⠙⠂⠀⠀⠀⠀⠀⠀⠀⢀⣼⠡⢁⠂⠄⢂⠘⡧⢀⠙⠦⣈⠐⣀⠂⠄⡇⣸⡆⠀⡇⠀⠈⡟⣻⡿⣤⣄⣛⣻⣿⢾⡏⡄⠀⠀⠀⡼⣇⠰⠀⠀⠈⢢⠀⠀⠀⠀⠀⡇⠀⠄⡠⢉⠈⡑⢄⠀⠘⣎⠀⡁
⠌⢂⠁⢂⠂⠌⡘⢾⡀⠂⠌⢰⠇⡰⢹⠀⠀⠀⠀⢤⠃⠀⠀⢠⣿⢸⣿⣿⠲⢄⡀⠀⠀⠀⠀⢀⠔⡺⢧⡐⠠⢈⠐⣠⢼⡇⠈⠄⠂⠌⢷⣿⡄⢸⢠⡇⢻⠀⡇⠀⠀⠹⡽⢩⠣⠮⢿⣾⠏⡾⡰⣇⠀⠀⢀⣷⡁⢣⠇⠀⠀⠀⢱⠀⡈⠀⠀⠹⡌⠐⡀⢂⠐⡀⢂⠑⡄⠘⡄⠄
⠌⠠⠈⠄⡈⠐⠠⢈⠁⢌⣰⠯⠊⢠⠀⡆⠀⠀⠀⠈⢦⠀⠀⡼⠹⣼⣾⣽⠀⠄⡉⠓⠦⢤⣀⣀⣠⡃⠀⠉⠉⠉⠉⠁⣾⣀⡡⢈⠐⡈⠄⠠⢈⢸⡞⢀⠘⢧⡇⠀⠀⢸⣹⢎⣥⣀⣀⡁⢠⡟⣠⢿⠀⠀⢨⢇⣇⠈⢾⠀⠀⠀⠀⠀⡇⠀⠀⢠⠘⢦⡁⢂⠐⡀⢂⠐⡘⡄⡇⠠
⠌⠡⢈⡐⣠⠥⠖⠒⠋⠉⠀⠀⢠⠃⠀⠘⡄⠀⠀⠀⠘⣧⢴⡇⠐⠈⠛⠿⢄⣂⣐⢀⠂⡼⡓⠤⠤⢕⣀⣀⠀⠀⠀⠀⠀⠀⠉⠲⡀⡐⢈⠐⡀⣾⠀⢂⠐⡈⡇⠀⠀⡎⣿⡜⠫⡉⠁⢓⡾⠚⢁⠘⡆⠀⢾⠉⢸⣆⠀⠀⠀⢀⠀⡸⠀⠀⠀⠀⠱⡀⠙⠢⣐⠀⢂⠐⣠⠷⢁⠂
⢈⠐⣠⠊⢀⡠⠔⠒⠂⢄⠀⢠⠃⠀⠀⢠⠛⢄⠀⠀⠀⢃⢣⢻⡀⠡⢈⠐⡀⠂⠄⣉⡟⢿⣄⠐⣆⠠⠀⠄⡭⢲⠒⠒⠾⢭⡉⠒⠷⠀⠌⡐⠠⠐⡈⠄⠂⠤⢧⠀⢰⡗⣹⡤⢴⡟⣏⣡⣠⢶⠶⠚⠇⠀⡼⢀⡏⠫⠑⣄⠀⢸⢠⠃⠀⠀⠀⠀⠀⠈⣤⡀⠀⠉⡒⠬⠥⣐⣄⠂
⠀⣸⢁⠔⠁⠀⠀⠀⠀⢀⠗⠁⠀⣠⠔⠁⠀⣀⣷⢄⠀⢸⠀⣇⢳⡐⡀⠂⠄⣁⣂⣾⣤⣾⣾⣿⣿⣇⡼⠋⠐⡌⠀⠀⠀⡀⠙⣦⠠⢁⠂⠄⡁⢂⡴⠜⠒⠋⠹⠃⣞⠉⣁⣴⣾⣶⡙⢉⠙⢦⡀⠂⢼⡀⣇⡞⢀⠂⠡⡹⠳⣼⡎⠀⠀⠀⠀⠀⠀⠀⠙⣌⠉⠙⠚⠉⡉⢉⠠⠀
⠀⣼⣜⠔⠊⠑⠒⢢⡔⠁⢀⠤⠊⠀⠀⡠⡲⢫⠛⣄⠙⢺⠀⡷⠀⠱⣄⠁⢂⣸⣿⣿⣿⣿⣿⣿⣿⣿⠲⠬⢐⠃⠀⠀⢀⡇⠀⢸⠄⠂⠌⣐⡴⠋⠀⠀⠀⠀⠀⢇⡟⢆⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣻⠞⠀⢂⣌⣕⠁⠀⠱⣿⣆⠀⠒⢄⠀⠀⠀⠀⠈⢎⠄⡁⢂⠐⡀⢂⠁
⠀⠼⣧⡌⠠⢁⣸⢏⡠⠊⠁⠀⠀⣠⣪⢺⣦⠃⠀⢈⣦⣸⢠⠇⢈⠐⡘⢎⠞⠁⢿⣿⣿⡏⠀⢸⠋⠛⠀⠄⡟⠀⠀⠀⠸⠆⠀⣸⠆⡁⢂⡏⠀⢀⠀⠀⠀⠀⠀⣼⣧⢸⣧⣿⡿⠟⢻⣿⣿⣿⡿⢠⠽⠓⡈⢙⡯⠃⠀⠀⠀⠀⠀⢇⡉⠒⢄⠑⠢⡀⠀⠀⠈⢧⠐⡀⢂⠐⡀⠂
⢈⠐⡈⠛⠶⢂⡧⠋⠀⠀⠀⣠⠞⠉⠀⠃⠋⠉⠉⢡⣀⢇⠞⠴⣶⠂⠴⢛⠒⢚⠂⡙⠯⠘⢮⡀⠄⠡⢈⡼⠀⠀⠀⠀⠀⠸⡑⢺⣇⠠⣼⡐⠀⢬⠀⠀⠀⠀⠘⠙⠉⣆⠈⠡⢀⠐⡀⢉⠻⣿⣧⣏⠀⡐⡤⠋⠀⠀⠀⠀⠀⠀⠀⠀⠑⠄⠀⠙⢄⠀⡷⣄⠀⠈⢇⠐⡀⠂⠄⡁
⠄⠂⠄⠡⢀⡞⠁⠀⠀⠀⣸⠏⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠉⠒⠦⢬⣀⠂⡐⢀⠂⠄⠡⢈⡤⠟⠀⠀⠀⠀⠀⠀⠀⠸⡈⢟⣆⢸⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠘⢆⠁⡂⢐⡜⠡⠀⠄⡈⢉⡰⠞⠁⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⡇⠈⢧⡀⠸⡄⠄⡁⠂⠄
⠌⣈⠐⠡⢸⠁⠀⢀⠀⡰⡏⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠉⠁⠘⠒⠉⢊⢯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠸⡌⣾⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠈⠳⢄⡊⠄⢡⣈⠴⠒⠉⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⢻⡅⡐⠀⢧⠀⡇⢐⠠⢁⠂
⠂⠄⣈⠐⢸⢀⡞⠉⣽⠑⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡾⡄⠀⠀⠀⠀⠀⢀⣤⣶⣿⣾⠀⢷⠇⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⢀⢾⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⢣⡀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⡜⡇⢱⢀⠡⢸⠄⡇⠠⠂⠄⠂
⡁⠂⠄⡈⠸⣿⠀⠂⡇⠀⣣⠱⡀⠀⠀⠀⠀⠀⠀⠀⢀⠜⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠙⡁⠀⠀⠀⣠⣶⣿⣿⣿⣿⠋⡀⡟⠀⠀⠀⠀⢲⣿⣷⣤⡀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢪⠢⣘⠀⠀⠀⠀⠀⠀⠀⡰⢡⢇⢸⡀⠂⣼⡸⢁⠂⠡⢈⠐
⠄⢃⠐⠠⠁⣼⡷⣁⣧⢠⠘⡆⠱⡄⠀⠀⠀⠀⠀⡞⡇⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣷⣶⣦⣼⣥⣄⣠⣾⣿⣿⣿⣿⡿⠃⡐⢸⠁⠀⠀⠀⠀⢸⣿⣿⣿⣿⣷⣤⡀⠀⢧⠁⠀⠀⠀⠀⠀⠀⣀⣠⣤⣶⣶⠀⠀⠑⢼⠂⠀⠀⠀⠀⠀⠀⠑⡞⠘⣸⢀⢡⡷⠃⠠⢈⠐⡀⠂
⠌⡠⠈⠄⠡⢉⠠⢁⠘⢮⡄⢹⡀⠸⡄⠀⠀⠀⠀⠱⣽⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠐⡀⡯⠀⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣆⣘⢆⢀⣀⣠⣴⣶⣿⣿⣿⣿⣿⣿⣷⡀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⡈⠄⡈⠐⡀⠂⠄⡁
⠂⡄⠡⢈⠐⡀⠂⠄⡈⢰⣇⠀⢳⡀⠅⠀⠀⠀⠀⠀⠸⡄⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠐⡀⡇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡄⠂⠄⠡⢀⠑⡈⠄
⠡⡀⡁⠂⠄⢡⠈⡐⢀⢺⢱⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⣧⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠂⠄⡇⠀⣸⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣼⡀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠈⣷⠈⠠⢁⠂⡐⢀⠂
⠡⠐⠠⠁⠌⣀⠂⡐⢀⡇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⣆⠐⣧⠀⡇⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⢹⠠⢁⠂⡐⠈⠄⠂
⠡⠌⡁⠌⡐⢀⠂⡐⠨⣇⡹⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠹⣄⢸⣴⢷⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠠⠀⠀⠀⢣⣾⠐⡀⠂⠄⢡⠈⡐
⡁⠂⠔⠠⠐⡀⠂⠄⡁⢯⡇⠀⠀⠀⠀⠀⠀⠄⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⡐⠘⣾⡏⢸⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡇⠀⠀⡜⠐⠀⠀⠀⠈⣿⠀⠄⠡⠈⠄⠂⠄
⠄⠃⠌⠠⠁⠄⡁⢂⠐⢸⡃⠀⠀⠀⠀⠀⡀⢲⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠄⣁⠟⣁⠾⡄⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⡠⠚⢄⡊⠄⡁⣀⠤⢄⠄⢹⡀⠌⠠⠁⠌⡐⠠
⠌⢂⠁⢂⠁⡂⠔⠠⢈⢰⢧⠀⠀⠀⠀⠀⠱⢸⢠⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣀⡟⠀⠈⢦⠸⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣱⠋⡀⠡⠈⣧⠐⡜⠁⠀⡎⠣⣈⡇⠠⠁⠌⡐⠠⠁
⠌⡀⠊⠄⢂⠰⢈⠐⠠⣸⠊⠂⠀⠀⠀⠀⠀⢸⡏⢀⠈⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣼⠁⠀⠀⠀⠉⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⡇⠐⠠⠁⢂⢘⡿⠁⠀⠈⠀⠀⠙⣿⠀⡁⠂⠄⡁⠂
⢂⠡⢈⠐⡀⠆⠠⢈⢰⡟⠀⠀⠀⠀⠀⠀⠀⠘⢷⡄⢂⠐⠠⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠈⣇⢸⠀⠌⠠⢁⢢⠾⠆⠀⠀⠀⠀⠀⠀⠘⡇⠠⠁⠌⠠⠁
⠂⡄⢁⠂⡐⢈⠐⡀⢂⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠈⠄⠡⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠂⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠡⠹⡼⡄⡈⠐⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⠡⠈⠄⡁⠂
⠡⠐⢂⠐⡀⢂⠐⡀⢂⠀⣹⡄⠀⠀⠀⠀⠀⠀⠀⠀⡧⠈⠄⡁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠌⠠⠁⠌⠻⢄⣹⠃⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠠⠁⠌⡐⠠⠁
⡁⠊⠄⢂⠐⡀⢂⠐⡀⠂⠌⡇⠀⠀⠀⠀⠀⠀⠀⠀⣗⠈⡐⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⡈⠄⠡⢈⠐⣰⠃⠀⠀⠀⠀⣀⠀⠀⠀⣠⠋⠠⠁⠌⡐⠠⢁⠂
⠄⠃⠌⡀⢂⠐⡀⠆⠠⢁⠂⢧⠀⠀⠀⠀⠀⠀⠀⠀⡇⡐⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢀⣀⢴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠐⡈⠐⡀⡶⠃⠀⠀⠀⢀⢎⠇⠀⣀⠔⠡⠈⠄⡁⠂⠄⡁⠂⠄
⠌⢂⠡⠐⡀⢂⠐⡈⠡⢀⠂⡘⣆⠀⠀⠀⠀⠀⠀⠀⡗⢀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⠠⢁⠞⠀⠀⠀⠀⠠⡣⠃⡠⠚⢁⠈⠄⡁⠂⠄⡁⠒⠠⢁⠂
⠌⡀⢂⠡⠐⡀⠂⠤⢁⠂⡐⠠⠘⣆⠀⠀⠀⠀⠀⠀⣧⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⡴⠃⠉⠐⠒⠤⣀⢑⡥⠊⠄⡁⠂⠌⡐⠠⢁⠂⠤⢁⠒⡀⠂
⠀⠁⠀⡀⢁⠀⠁⠀⡀⠀⡀⠁⠀⢸⡄⠀⠀⠀⢀⣼⠉⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠙⣄⡀⢀⠀⠁⠀⡀⠁⠀⡈⠀⠀⠀⡀⠁
⠌⢂⠡⠐⠠⠈⠄⠡⠐⠠⢀⠡⠈⢄⣻⣄⡠⠔⠋⠀⠀⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡭⠕⠒⠤⣀⠀⠀⠀⠀⣸⢀⠉⣳⡌⠐⠠⢀⠁⠂⠄⠡⢈⠐⠠⠁
⠌⡀⠆⢁⠂⠡⠈⠄⡑⢀⠂⠄⢡⡞⢻⣄⠀⠀⠀⠀⠀⢨⠟⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠇⠀⠀⠀⠀⠈⢣⡀⠀⡰⠻⣿⠝⠁⢠⠈⡐⠠⢈⠐⡈⢐⠀⠊⠄⡁
⢂⠡⠈⠄⡈⠄⡁⢂⠐⠠⢈⠐⣏⠂⣶⡻⡆⠀⠀⢀⠔⠁⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠱⡀⠀⡀⠀⠀⠀⠀⠈⡧⣄⣠⠞⠁⠠⠈⠄⠂⠄⡁⢂⠐⡀⢂⠡⠌⡐⠀
⠂⡄⢃⠐⡀⢂⠐⠠⠁⠆⠠⢈⠸⡄⠉⠁⣱⢴⡚⡅⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡘⡀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣶⣷⠀⡃⢀⠀⠀⠀⠀⢹⡀⠁⠄⡈⠄⠡⢈⠐⠠⠐⡀⢂⠰⢀⠂⡐⠠⠁
⠡⡀⢂⠐⡀⢂⠡⢈⠐⣈⠐⡀⢂⠹⠔⡉⠠⠈⣧⢹⡀⠀⠀⢠⣶⡄⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⣿⣷⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣿⣿⡏⡀⠄⠈⡆⠀⢀⡀⣈⠓⠬⡼⢹⢀⠁⠂⠌⠠⢁⠰⢀⠂⠄⠒⠠⢁⠂
⠡⠐⡀⢂⠐⡀⠂⠄⠡⢀⠂⡐⢀⠂⡐⠠⢁⢢⠟⡄⠱⡀⠀⢸⣿⣿⡄⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢿⣻⣯⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢱⣆⠀⢳⢄⡀⢫⡙⠒⠤⡴⠋⠀⠌⡐⢈⠐⡀⠂⠄⠨⠀⠅⠒⡀⠂
⡁⢂⠡⢀⠂⠄⠡⢈⡐⠄⢂⠐⡀⠂⠄⣁⠂⠌⢣⢳⡀⢣⠀⠰⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡿⣿⣽⣷⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢸⣿⡇⢸⠀⡱⡄⠱⡌⠐⠠⢀⠁⢂⠐⡀⠂⠄⠡⠈⠄⡉⠄⠡⢀⠁
⠄⡁⠂⠄⡈⠄⡁⠂⠄⡈⠄⠂⠄⡁⠂⠄⠂⠌⡀⠳⡇⠀⣧⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣽⣾⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢻⣿⣧⠈⢣⠄⠛⣆⢙⠪⡔⠠⠈⠄⠂⠄⠡⠈⠄⡁⢂⠐⡈⢐⠠⠈
⢂⠡⠌⠐⡀⠂⠄⡁⢂⠐⡈⡐⠄⠠⠁⠌⡐⠠⢀⠁⠳⢄⡘⣧⣘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⣯⣿⣾⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣾⣿⣿⣷⣈⡇⠐⡈⢉⠛⠁⠄⠡⢈⠐⡈⠄⡁⢂⠐⡀⠂⠌⡀⢂⠁
⢂⡐⢈⠐⠠⢁⠂⠔⡈⠐⠠⠐⡈⠄⡁⠂⠄⣁⠂⠌⡐⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣷⣿⣳⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠄⠡⠐⠠⢈⠐⡈⠐⡀⢂⠐⠠⠐⡀⠂⠤⠑⡀⠂⠔⡈
⠂⠄⠂⠌⡐⠠⢈⠐⠠⢁⡁⢂⠐⠄⢂⠡⠈⠄⣈⠐⡀⠡⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣿⣿⡿⣽⣷⣿⣻⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⠄⠡⢈⠐⡀⠂⢄⠡⠐⠂⠌⠠⠁⠤⢁⠂⠡⠀⠅⠂⠄
⡁⢊⠐⠠⢀⠁⠂⠌⡐⠠⠐⠠⢈⠐⡀⢂⠁⢂⠄⠂⠄⣁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⢿⣿⣿⣟⣷⣿⣻⣯⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⠐⡈⠐⡀⢂⠐⡉⢀⠂⠡⠈⠄⠡⢈⠐⠠⠈⠄⡑⢈⠐⡈
⠄⡡⢈⠐⠠⠁⠌⡐⠠⠁⠌⡐⢀⠂⡁⠂⠌⠠⢈⠐⠠⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠌⡈⢻⣿⣟⣿⣾⢿⣽⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⡆⠠⢁⠐⡀⢂⠐⡠⠈⠄⠡⢈⠐⠠⠈⠄⡁⢂⠐⠠⠂⠄
⠂⠔⠠⠈⠄⡁⠂⠄⠡⢈⠐⡀⢂⠐⠠⠁⠌⡐⠠⢈⠰⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⢈⠐⠠⠈⢿⣿⣿⣾⡿⣿⣾⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠐⡀⢂⠐⡈⠐⠠⠁⠌⡐⠠⠈⠄⡁⢂⠐⠠⢁⠂⡁⠂
⡁⠊⠄⡁⠂⠄⠡⢈⠐⢂⠐⡀⠂⠌⠠⢁⠂⠄⡁⢂⠐⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⡀⠂⠌⠠⠁⠌⣿⣷⣿⣻⣿⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⠈⠄⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠠⠐⡀⠂⠄⡉⠄⡁⠂⠄⠡⢈⠐⡀⠂⠌⡐⢀⠂⠄⡁
⠄⢃⡐⠠⠁⠌⡐⠠⠈⠄⠂⢄⠡⢈⠐⠠⢈⠐⡀⠂⠌⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢀⠂⠄⠡⠈⠄⠡⣼⣿⣿⣳⣿⣟⣾⣿⣿⣻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠂⠌⠠⢁⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠁⠄⡁⢂⠐⠄⢂⠡⢈⠐⡀⠂⠄⡁⢂⠐⡠⠌⡐⠀
⠌⠠⠐⠠⢁⠂⠄⠡⠘⠠⢉⠀⢂⠄⢊⠐⡠⠁⠄⠡⢈⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠠⠈⠄⠡⠈⠄⣹⣿⣿⣳⣿⣯⣿⢯⣿⣿⡟⢐⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠠⢁⠂⠄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⡐⢀⠂⠌⡐⢀⠢⠐⡀⢂⢁⠂⠔⡈⠐⡀⠂⠄⡁
⠌⡁⠌⡐⠠⠈⠄⠡⠌⡐⠠⠈⠄⡈⠄⠒⠠⠁⠌⡐⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠠⠁⠌⠠⢁⠲⣿⣿⡷⣿⣯⣷⡿⣿⣯⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠐⠠⠈⠄⠡⠘⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠐⠠⢈⠐⡀⠂⠄⠡⠐⡀⠂⠌⡐⠠⠁⠄⣁⠢⠀
⠂⠔⠠⢀⠡⠈⠄⡁⠂⠄⠡⢈⠐⠠⠈⠄⠡⢈⢐⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠄⠡⢈⠐⠠⢸⣿⣷⣿⢿⣽⣟⣿⣟⣷⣿⡇⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠡⠈⠄⠡⠈⠄⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⢁⠂⡐⠠⠁⠌⠠⠁⠄⡁⠂⠄⠡⢈⠐⠠⢀⠁
⡁⢊⠐⡀⢂⠁⠂⠄⠡⠘⡀⠂⠌⠠⠁⠌⡐⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠌⠠⢁⠂⠌⡀⢿⣿⡿⣾⣿⣻⣯⣿⣾⢿⣽⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠠⠁⡌⠠⠁⠌⠠⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠂⠄⠡⠈⠄⠡⢈⠐⠠⠁⠌⡐⠠⠈⠔⠠⠈
⠄⡁⢂⠐⠠⢈⠐⡈⠄⠡⡀⠡⠈⠄⡁⠂⠄⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠌⡐⠠⢈⠐⠠⠸⣿⣿⢿⣽⣿⣽⣷⡿⣿⣻⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢂⠡⢀⠡⠈⠄⡁⢂⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠈⠄⠡⢈⠐⠠⠈⠄⡁⠂⠄⠡⠈⠄⡁⠂
⢂⠁⡂⠌⡐⢀⠂⡐⢈⠐⠠⠁⠌⡐⠠⠁⠌⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢈⠐⠠⢁⠂⠌⠠⠁⢻⣿⣿⣻⣾⢿⣾⢿⣟⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⡀⠂⠄⢂⠁⡂⠐⡀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢈⠐⠠⠈⠄⡁⠂⠄⠡⠈⠄⠃⠌⠠⠁
⢂⠡⠐⠠⠐⡀⠂⠔⡈⠄⠡⢈⠐⠠⡁⠌⡐⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠂⠌⡐⠠⠈⡄⠡⠈⠄⢻⣿⣽⣿⣻⡿⣟⣿⣯⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠄⠡⠈⠄⢂⢁⠂⡐⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠌⠠⢁⠂⠄⢡⠈⡐⠡⢈⠐⡈⠄⡁
⠂⡄⠃⠄⠡⠀⠅⢂⠐⡈⠄⠡⢈⠐⠄⢂⠐⢸⣿⣿⢻⣿⣿⣿⣿⣿⣿⣿⣿⡏⠠⢁⠂⠄⡁⠂⠄⠡⢈⠐⠠⢿⣿⣾⣟⣿⣿⣻⣾⡇⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠈⠄⠡⢈⠐⡀⢂⠐⠠⢁⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠌⡐⠠⢈⠐⡀⠂⠄⡁⢂⠐⡀⠒⡀
⠡⡀⠡⠈⠄⠡⠈⠄⢂⠐⡈⠐⠠⢈⠐⠂⠌⡈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢁⠂⠄⡈⢐⠠⢁⠘⠠⠁⠌⡐⢘⣿⣷⣿⣻⣾⢿⣽⡇⠐⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⢀⠡⢈⠐⡀⠂⠄⠡⢈⠐⠠⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⢈⠐⠠⢁⠂⡐⠠⢁⠂⡐⠠⠁⠄⠡⢀
⠡⡀⠅⡈⠄⠡⢈⠐⢂⠐⡈⠄⡁⠂⠌⡐⠠⠐⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠠⢈⠐⡀⢂⠰⠀⠌⠠⢁⠂⡐⠀⢻⣿⣾⣟⣯⣿⣿⠂⡁⠌⣿⣿⣿⣿⣿⣿⣿⣿⡯⢀⠂⠄⠂⠄⠡⢈⠐⠠⠈⠄⡁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠠⢈⠐⡀⠂⠄⡁⢂⠐⠠⠁⠌⣈⠐⡀
⠡⠐⢂⠐⡈⠐⠠⠈⠄⢂⠐⠠⡀⢁⠂⠄⡁⢂⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢁⠂⡐⢀⠂⠄⠡⢈⠐⡀⠂⠄⡁⠺⣿⣿⣾⣟⣯⣿⠁⡐⠠⢹⣿⣿⣿⣿⣿⣿⣿⡇⠠⠈⠄⠡⢈⠐⠠⠈⠄⡁⢂⠐⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡁⢂⠐⠠⢁⠂⡐⠠⠈⠄⡁⠂⠄⠂⠄
⠡⠌⡀⠂⠄⡁⢂⠡⠈⠄⠌⡐⢀⠂⠌⡐⢀⠂⠄⢿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢂⠐⡀⠂⠌⠠⢁⠂⡐⠠⢁⠂⠄⡁⣿⣷⣿⣻⣟⣿⠀⠄⠡⠈⣿⣿⣿⣿⣿⣿⣿⡇⠠⠁⠌⡐⠠⠈⠄⡁⠒⡀⠂⠌⡀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⡐⠠⢈⠐⡀⠂⠄⠡⢈⠐⠠⠁⠌⢂⠐
⡁⠂⡄⢁⠂⡐⡀⢂⠡⢈⠐⡀⠂⠌⡐⠠⠁⠌⠠⢸⣿⣿⣿⣿⣿⣿⣿⡟⢀⠂⡐⠠⠁⠌⢂⠐⠠⢂⢁⠂⠌⡐⠀⣿⣿⣷⣿⣻⡧⠈⠄⡁⠂⢼⣿⣿⣿⣿⣿⣿⡇⠠⢁⠂⠄⠡⢈⠐⠠⠁⠄⡁⢂⠐⠸⣿⣿⣿⣿⣿⣿⣿⣿⡇⠐⠠⢁⠂⡐⠠⠁⠌⡐⠠⠈⠄⠃⠌⡀⠂
⠄⡡⠐⡀⢂⠐⡀⢂⠐⢂⠐⠠⢁⠂⠄⠡⠘⠠⠁⠌⣿⣿⣿⣿⣿⣿⣿⡇⡀⠂⠄⠡⢈⠐⠂⠌⡐⠠⠂⠌⡐⠠⣱⣿⣿⣾⢿⣽⣷⠈⡐⠠⢁⠂⣿⣿⣿⣿⣿⣿⡇⠐⠠⠈⠄⡁⠂⠌⠠⠡⢈⠐⠠⠈⠄⣿⣿⣿⣿⣿⣿⣿⣿⡇⢈⠐⡀⠂⠄⠡⢈⠐⠠⠁⢌⠠⢁⠂⡐⠁
⠂⡄⠡⠐⡀⠂⠄⠡⠈⠄⠨⠐⠠⠈⠄⠡⠈⠄⡁⢂⢸⣿⣿⣿⣿⣿⣿⡇⠠⠁⠌⡐⢀⠊⡐⠐⠠⠁⠌⡐⠠⣽⣿⡿⣷⡿⣿⣯⣿⠀⠄⡁⠂⠄⢻⣿⣿⣿⣿⣿⣷⠈⠄⡁⠂⠄⠡⠈⠄⡁⠂⠌⠠⢁⠂⢼⣿⣿⣿⣿⣿⣿⣿⠁⢂⠐⠠⠁⠌⡐⠠⠈⠄⡁⢂⠐⡀⠢⢀⠡
⠡⡀⠅⠂⠄⠡⠈⠄⠡⢈⠡⠈⠄⠡⠈⠄⡑⠠⠐⠠⢈⣿⣿⣿⣿⣿⣿⡇⠠⢁⠂⡐⢀⠂⠄⡁⢂⠁⢂⠄⠡⣿⣿⢿⣿⣽⣿⣳⣿⠄⠂⠄⠡⢈⢹⣿⣿⣿⣿⣿⣷⡀⠂⠄⠡⠈⠄⡁⠂⠄⠡⢈⠐⠠⢈⢈⣿⣿⣿⣿⣿⣿⣿⠀⠂⠌⠠⢁⠂⠄⠡⢈⠐⡀⢂⠐⠠⢁⠂⠄
⠡⠐⡈⠐⡈⠄⠡⢈⠐⠂⠄⠡⠈⠄⡁⠂⠄⠡⢈⠐⢨⣿⣿⣿⣿⣿⣿⡇⡐⢀⠂⡐⠠⢈⠐⡀⢂⠁⠂⠌⡀⢿⣿⣿⢯⣿⣾⣟⣿⡆⠡⢈⠐⡀⢺⣿⣿⣿⣿⣿⣿⡇⠡⠈⠄⡁⠂⠄⠡⢈⠐⠂⠌⡐⢀⠂⣿⣿⣿⣿⣿⣿⣿⡀⠡⢈⠐⠠⠈⠄⡁⢂⠐⡀⠂⠌⡐⠠⠈⠄
⡁⠆⡁⢂⠐⡈⠐⡠⢈⠐⡈⠄⡁⠂⠄⠡⢈⡐⠠⠈⠤⣿⣿⣿⣿⣿⣿⣇⠀⢂⠐⠠⢁⠂⡐⠐⠠⠘⡀⢂⠐⡈⢿⣿⣿⣻⣾⣟⣿⣷⡐⢀⠂⠄⠹⣿⣿⣿⣿⣿⣿⠇⠠⢁⠂⠄⠡⢈⠐⠠⢈⠰⢀⠐⡀⠂⢼⣿⣿⣿⣿⣿⣿⡇⠐⠠⠈⠄⡁⢂⠐⡀⠂⠄⡁⠂⠄⢡⠈⠄
⡐⠄⡐⢀⠂⠄⠡⠐⡀⢂⠐⡐⠠⠁⠌⡐⠠⠠⠁⠌⠠⠹⣿⣿⣿⣿⣿⣿⠀⠂⠌⡐⢀⠂⠄⡉⠄⠡⠐⣀⠂⡐⢀⢻⣿⣿⡷⣿⣯⣿⣷⡄⠈⠄⠡⣿⣿⣿⣿⣿⣿⠀⡁⠂⠌⠠⢁⠂⠌⠠⢁⠂⠌⡐⠠⢁⢸⣿⣿⣿⣿⣿⣿⣧⠈⠄⡁⢂⠐⡀⠂⠄⡁⢂⠄⡉⠐⡠⠈⠄
⡐⠄⠂⠄⡈⠤⢁⠒⠠⢁⠂⠄⠡⢈⠐⠠⢁⠂⢡⠈⠄⡁⣿⣿⣿⣿⣿⣿⡇⡈⠐⡀⠂⠌⡐⠠⠈⢄⠡⢀⢂⠐⠠⠈⣿⣿⣿⣟⣷⣿⣿⡿⠈⠄⡁⣿⣿⣿⣿⣿⣿⡇⠠⠁⠌⡐⠠⠈⠄⡁⠂⠌⡐⠠⢁⠂⣸⣿⣿⣿⣿⣿⣿⣿⡄⢂⠐⡀⢂⠡⢈⠐⡀⢂⠐⠠⠁⠄⡁⠂
⡐⠈⠔⠠⠐⡀⠂⠌⡐⠠⠈⠄⡁⠂⠌⡐⠠⠈⠄⡈⠐⡀⣿⣿⣿⣿⣿⣿⣧⠀⠡⢀⠡⠂⠄⠡⠈⠄⠂⠄⠂⠌⠠⠁⢼⣿⣿⣿⣿⣾⣿⠁⡐⠠⠐⣿⣿⣿⣿⣿⣿⣷⠀⡁⠂⠄⠡⢈⠐⠠⢁⠂⠄⡁⢂⠐⣼⣿⣿⣿⣿⣿⣿⣿⣷⡀⢂⠐⡀⠂⠄⢂⠐⡈⠄⠡⢈⡐⠠⠁
⠄⠃⠌⠠⠁⠄⡁⠂⠄⠡⢈⠐⠠⢁⠂⠄⠡⢈⠐⠠⢁⢸⣿⣿⣿⣿⣿⣿⣿⡌⡐⢀⠂⠡⠈⠄⠡⢈⠐⡈⠐⡈⠄⡁⠂⠙⠻⣿⣿⣿⡏⠠⢀⠁⢂⣿⣿⣿⣿⣿⣿⣿⡇⠠⠁⠌⡐⠠⢈⠐⠠⢈⠐⡀⠂⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠄⠂⠄⠡⠈⠄⢂⠐⡈⠐⡠⢀⠁⢂
⠌⢂⡁⢂⠁⠂⠄⠡⢈⠂⠡⢈⠐⠠⠈⠄⡁⠂⠌⡐⠠⠈⣿⣿⣿⣿⣿⣿⣿⣷⡀⠂⠌⠠⢁⠊⡐⢀⠂⠄⠡⠐⠠⢀⠡⢈⠐⡈⠻⠛⢀⠰⠀⠌⠰⣿⣿⣿⣿⣿⣿⡿⠃⠄⠡⠂⠄⡁⠂⠌⡐⢀⠂⠄⠡⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⡈⢐⠈⠄⠡⠈⠄⠂⠄⠡⠐⠠⠈⠄
⠌⠠⠐⠠⢈⠐⡈⢐⠠⢈⠐⠠⠈⠄⡁⠂⠄⡁⠂⠄⡁⢂⢸⣿⣿⣿⣿⣿⣿⣿⣷⡁⠌⡐⢀⠂⡐⠠⠈⠄⠡⢈⠐⢂⠐⡀⠂⠄⡁⠂⠄⢂⠡⠈⠄⡙⣿⣿⣿⡿⠃⠠⠐⡈⠄⡁⠂⠄⡁⢂⠐⡈⠄⡈⠐⣸⣿⣿⣿⣿⣿⣿⣿⣿⠃⡐⠠⢈⠐⡈⠄⠡⢈⠐⡈⠄⠡⠌⡐⠠
⠌⡁⠌⡐⢀⠂⡐⠄⢂⠂⠡⠈⠔⠂⠄⡁⠂⠄⡑⠠⠐⡀⠂⢻⣿⣿⣿⣿⣿⣿⣿⣿⡄⠐⡀⠂⠄⠡⠈⠄⡁⠂⠌⡀⠂⠄⡁⠂⠄⠡⠈⠄⢂⢁⠂⠄⡈⠛⠋⡀⠄⡁⢂⠐⠠⡀⢁⠂⡐⠠⠌⠐⠠⢀⢁⣾⣿⣿⣿⣿⣿⣿⣿⠃⠠⢀⠁⢂⠐⠠⢈⠐⡀⢂⠐⡈⡐⠠⠄⡁
⠂⠔⠠⠐⡀⢂⠐⡈⠄⡈⠤⠁⠌⡐⠐⠠⢁⠂⠄⡁⠆⠠⢁⠂⣿⣿⣿⣿⣿⣿⣿⣿⡟⠠⠀⠅⠊⠄⡁⠒⠠⢁⠂⠄⡑⠈⠄⠡⢈⠂⠡⠈⠄⠂⠌⡐⠠⢁⠂⡐⠠⠐⠠⢈⠐⠠⢁⠂⡐⠡⠈⠄⡁⢂⣾⣿⣿⣿⣿⣿⣿⣿⠃⡀⠂⠄⠨⢀⠌⡐⠠⠂⠄⡁⢂⠐⠠⢁⠂⠄
⡁⠊⠄⠡⠐⡀⢂⠐⡐⢀⠂⡁⠂⠄⡁⠒⠠⢈⠐⠠⢈⠐⡀⠂⢿⣿⣿⣿⣿⣿⣿⣿⠀⠄⠡⢈⠐⠂⠄⡁⠂⠤⢈⠐⠠⠁⠌⡐⠠⢈⠡⠈⠄⡁⠂⠄⡁⢂⠐⠠⠁⠌⡐⠠⢈⠐⡀⢂⠐⠡⢈⠐⣠⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠄⠡⢈⠐⡀⠂⠄⠡⢈⠐⡀⠂⠌⡐⠠⠈⠄
⠄⠃⠌⠠⢁⠐⡀⢂⠐⠠⠂⠄⡁⠂⠄⡁⠂⠄⠨⠐⢂⠐⠠⢁⠈⡙⢿⣿⣿⣿⣿⠏⠠⢈⠐⠠⢈⠐⠠⢀⠁⠂⠄⡈⠄⡁⠢⢀⠁⠂⠄⡁⠂⠄⡁⢂⠐⠠⠈⡄⢁⠂⠄⡁⢂⠐⡀⢂⠁⠂⠄⡈⠹⣿⣿⣿⣿⣿⣿⣿⡿⠃⠈⠄⡁⢂⠐⠠⠁⠌⡐⢀⠂⠄⡁⠂⢄⠡⠈⠄
⠌⢂⡁⠂⠄⢂⠐⠠⠈⡄⢁⠂⠄⡁⠂⠄⠡⠈⠄⡁⠂⠌⡐⢀⠂⡐⢀⠉⠛⠟⢋⠀⠆⠂⠌⡐⠠⢈⠐⠠⢈⠐⠠⠐⠠⠐⡁⠂⠌⡁⠂⠄⡁⢂⠐⠠⠈⠄⠡⠐⠠⢈⠐⡀⢂⠐⡀⠂⠌⡐⠠⢀⠡⠘⣿⣿⣿⣿⠟⡉⠠⢀⠃⡐⢀⠂⠌⠠⢁⠂⡐⠠⢈⠐⠠⢁⠂⠄⡁⠂
⠌⡄⡠⠁⠌⠠⠈⠄⠡⠐⠠⢈⠐⠠⠁⠌⠠⢁⠂⠄⡁⢂⠐⡀⢂⠐⠠⢈⠐⡈⠄⡈⠄⡁⠂⠄⡁⠂⠌⡐⠠⠈⠄⡁⢂⠡⢀⠡⠂⠄⡁⢂⠐⠠⠈⠄⠡⠈⠄⡑⠠⢂⠐⡀⢂⠐⠠⢁⠂⠄⡁⠂⠄⠡⢈⣿⣋⠁⠄⠠⢁⠂⡐⢀⠂⠌⠠⢁⠂⡐⠠⠁⠂⠌⡐⠠⢈⠐⠠⠁
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢹⠀⢰⡡⠔⠋⢉⣉⠉⠉⠛⠛⠿⠿⠿⣾⣽⣿⣿⣿⣿⣿⣿⣿⡿⢿⠓⢈⠀⠐⡀⢀⠀⢢⡀⠀⠂⠀⠠⠐⠀⠀⢀⡾⠀⠀⠀⡀⠀⢹⡄⢯⣻⣿⣟⣾⣻⣿⡿⣷⣄⠀⠠⠐⠀⠀⠠⠀⠠⠀⡈⠱⣄⠀⠈⢣⡈⡇⠀⠀⠀⠀⠀⢹⡘⣮⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡞⢠⠏⠀⣰⠞⢉⠀⡀⠁⢂⠁⠀⠂⠐⢠⣾⣟⡷⣟⡾⣿⣿⡿⢁⣟⣀⠂⠈⠐⠀⠀⡀⠀⢳⡀⠀⠀⠀⠀⠀⢀⡾⠁⠀⢀⢄⣠⣦⡵⢷⡈⢷⣿⣿⣿⡿⣯⡽⣯⣿⠀⠁⠀⠀⠀⠀⠠⢀⠂⢁⠂⠘⠢⢴⡄⠱⣹⠀⠀⠀⠀⠀⠀⢳⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢃⡴⠋⢁⠰⠈⡰⠀⡈⠀⠈⠀⡀⢡⣿⡿⣝⡿⣿⣿⣿⣟⠁⣾⡍⠉⠉⠛⠓⠚⠶⠶⠶⠲⠿⣄⡀⢀⠀⣠⠾⠓⠲⠿⠚⠋⠉⠀⠀⠘⢷⡀⢻⣿⣿⣿⣷⣛⡷⣿⣄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⢻⡇⠀⠀⠀⠀⠀⠈⢇⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠇⡜⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢀⣾⡿⣝⣻⡞⣿⣿⣿⣿⣼⡟⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢮⣿⣿⣿⣯⣟⡽⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⡇⠀⠀⠀⠀⠀⠀⢸⡘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⡿⣽⣳⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠠⠀⠠⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢟⣯⣿⣿⣽⣾⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢳⠤⠴⠦⠴⠒⠚⠛⡇⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠐⠒⠂⠐⠀⠀⠀⠄⠀⢠⡇⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠈⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠄⠀⠄⠠⠀⠄⠠⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⡟⠀⠀⠀⠠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⢸⡄⠀⠀⠀⠀⠀⠀⢹⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⣀⣼⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣷⣦⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⠈⢆⠀⠀⠀⠀⠀⢸⢺⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⡀⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠸⣿⣿⣿⣁⡤⠔⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠘⠒⠤⣌⣿⣿⣿⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⢸⢧⠈⢆⠀⠀⠀⠀⢸⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡆⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢀⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣆⠀⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⢸⡃⢸⠀⢣⠈⣆⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢣⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⢔⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠉⠉⠓⠦⡀⠈⠓⢿⣥⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡞⡇⠀⢧⠘⡄⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⢸⠀⠀⠀⠀⠀⠀⠀⢠⠞⡡⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠚⠉⠉⠑⠲⡄⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⢀⣾⠟⠀⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡇⠀⠀⠀⠀⠀⠈⢢⠀⠐⠙⣄⠀⠀⠀⠀⠀⠀⠀⡞⢀⠇⠸⡄⠈⣆⢧⣼⠟⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀
⠀⠀⠀⠀⠠⡈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡘⡆⠀⠀⠀⠀⢀⡴⢁⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠁⣻⣦⠀⠀⢠⣿⠋⡀⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⠳⡀⠀⠀⠀⠀⢠⠇⣸⠀⠀⢳⣠⠞⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⡀⠀⠀⠀⠈⠢⡈⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣇⣧⠀⠀⠀⣠⠎⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠡⢿⣆⠀⣾⠇⠡⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⢸⢀⡷⡄⠀⢸⠃⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀
⠀⢹⣄⠀⠀⠀⠀⠑⢄⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡥⣼⣾⣷⡄⣴⠃⡰⠁⠀⠀⣀⣤⠴⠤⣄⡀⠀⠀⠀⠀⠈⠦⣄⣀⣀⡠⠤⠚⠁⠀⠀⠀⠀⠀⠀⠀⢚⡧⠰⡿⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡭⠿⢶⢤⡀⠀⠀⠀⠈⢳⣀⣴⣿⣼⠀⡼⠀⡜⠀⢰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁⠀⠀⠀
⠀⢸⣧⠣⡀⠀⠀⠀⠈⠣⡀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠋⠀⢸⡿⣍⣹⠃⡸⠁⠀⣠⡞⢫⠁⠆⡁⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⢸⡇⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢀⠀⠠⢈⠙⠳⣄⠀⠀⠀⢻⣟⢟⣯⠟⠁⡰⠁⣠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀⠀
⠀⣼⣿⡄⠹⣄⠀⠀⠀⠀⠙⢦⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠀⠀⢀⡾⣻⣯⠇⢰⠃⠀⣼⣣⡼⢆⠈⠐⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠐⢀⣌⣶⡘⣆⠀⢰⠈⡿⢨⠟⢇⣰⠷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁⠀⠀⠀⠀⠀⢨
⠀⠘⣿⣶⡀⠈⢦⠀⠀⠀⠀⠀⠑⡄⠑⣄⠤⠀⠄⠀⠀⠐⠛⣽⠏⠀⢀⣤⡞⠀⡇⡿⠀⡏⠀⣸⠿⣿⣦⣿⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢈⡘⣦⣽⣿⣿⡀⢈⡀⢹⠁⡟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀⠀⠀⠀⡼
⠀⠀⠘⣿⣧⠀⠈⢧⠀⠀⠀⠀⠀⠈⢢⡈⢢⡀⠀⠀⠀⠀⢠⣿⠀⠐⢋⡞⠀⢸⣷⡇⢸⡇⠀⢿⣹⠹⡍⢆⠂⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠠⣗⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢂⠬⣙⢻⣛⣿⠀⢸⠂⢸⡄⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡔⠁⠀⠀⠀⠀⠀⠀⠠⡝⠀
⠀⠀⠀⠘⣿⣄⠀⠈⢧⠀⠀⠀⠀⠀⠀⠑⣄⠑⣄⠀⠀⠀⠀⣿⡄⠀⡞⠀⢠⣿⠋⡇⢸⡇⠀⠘⢷⡭⡘⠄⢃⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣗⣿⠀⣿⡆⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠠⢁⠦⡑⣎⡾⠃⠀⢸⠀⣿⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠊⠀⠀⠀⠀⠀⡴⠁⢀⡞⠀⠀
⠀⠀⠀⠀⠘⣿⣠⠀⠈⢧⠀⠀⠀⠀⠀⠀⠈⠣⡈⢢⠀⠀⠀⢈⡙⡾⠀⢠⢏⣿⠀⣻⠀⣇⠈⠠⠀⢀⠁⠊⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣿⣼⡏⠀⢹⣧⢣⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠐⠋⠉⠀⠀⠀⡟⢠⡏⢣⢳⡀⢠⣤⣴⠶⠶⠾⠍⠉⠄⠀⠀⠀⠀⡴⠁⠀⠀⠀⠀⢀⡞⠁⢠⡾⠁⠀⠀
⠀⠀⠀⠀⠀⢹⣿⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠑⢄⠱⡄⠀⠀⢠⠃⢠⠟⣸⢿⠀⢙⡆⠹⡄⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⣷⣿⡿⠁⠀⠀⢻⣯⣦⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⡼⣷⡌⢣⣳⡀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⢀⡞⠀⢀⣾⠃⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢹⣽⠀⠀⠀⢷⡀⠀⠀⠀⠀⠀⠀⠈⠒⠘⢆⠀⡞⢀⡞⢠⡟⢸⢰⠀⢿⡄⢻⡄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢂⣱⣿⣿⣷⣴⣶⣲⣥⣚⡷⣇⢄⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⡸⠅⣧⠻⡄⢳⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⢀⡎⠀⠀⣼⠇⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢻⠄⠐⠀⠀⠳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡇⡼⠐⣼⠁⣸⢸⡇⠐⢻⣄⠹⣄⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠔⣨⣾⠟⢋⣀⡤⠶⣤⡭⣤⣔⣋⠿⣾⣄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡾⢁⡼⠃⡄⣸⡄⢻⡄⢧⢧⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⠀⠀⠀⠀⢀⡞⠀⠀⣸⡟⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠘⣟⠠⠀⠀⠀⠱⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⢸⠇⠀⡇⢸⠃⠀⠌⡹⣦⡘⢶⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⣱⣼⣿⣿⠽⠚⠉⠁⢀⠈⣿⡆⠀⡀⠉⠙⠲⢭⣳⣥⡂⠄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⣤⠞⠀⠀⡇⣿⠹⡄⠳⣼⡘⡄⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⢠⡞⠀⠀⠐⣾⠇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢹⡂⠌⠀⠀⠀⠙⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡀⣀⡇⣼⠀⢈⠐⢠⠙⡿⣦⣉⠀⢈⠐⠠⠀⡀⢀⠀⠀⢀⠀⢀⠀⡠⢐⣤⣧⣿⠯⠓⠉⠀⠀⠀⠀⠀⠀⠄⠹⠀⠐⠀⠀⠀⠀⠀⠈⠓⠿⣻⢦⣐⡈⢄⠀⡀⢀⠀⠀⠀⠀⢀⠀⢠⣀⢴⣫⡵⠯⠉⠀⠀⠀⡇⢹⠀⠘⢆⠙⢇⢣⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⢼⡿⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⢀⠠⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣽⠁⡇⠀⢀⠊⠄⡓⣌⢳⢿⣿⠚⣦⣵⣐⣄⣢⣌⣰⣀⣮⣴⣾⣷⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣾⣶⣥⣶⣬⣤⣵⣬⣦⣼⣶⣾⡿⡙⠬⢠⠁⠀⠀⠀⣇⠸⣀⢀⡈⣇⢸⢸⢀⡜⠁⠀⠀⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⡈⣼⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⢂⠠⠐⠀⠀⠀⠈⢣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢾⢦⣄⣂⡘⠤⡑⢬⡙⢾⣿⣀⣧⣋⠝⢫⠟⡻⠟⡟⠻⠉⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠩⠻⠽⣋⠟⡭⢋⠵⣹⢻⣟⢲⡉⢦⣁⣦⣥⢦⣄⣘⡄⢇⠀⠀⢸⢨⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⡴⠁⠀⠀⠀⡀⠄⣿⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠐⠀⡀⠀⠀⠀⠀⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣜⠉⡳⢷⣘⠦⣙⣎⣿⣧⠸⡼⣎⠐⡄⠡⠈⠄⠁⢈⠀⠄⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⡀⠀⠠⠀⠠⠀⠠⠌⠠⠁⣺⢃⢿⣎⣧⢾⣺⠟⠁⠀⠀⠀⠈⠙⠾⡄⠀⢠⠟⠁⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⠀⠀⠀⠀⠀⢸⣯⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⠀⢂⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠘⢘⢫⢿⡲⡬⢿⡞⢆⢷⡙⣆⠠⢁⠂⡐⠀⠄⠀⣀⠴⠊⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⠀⠑⢦⠀⠂⠠⠈⠀⡀⠂⣰⠇⡜⢀⡟⠓⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠱⡤⠋⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠁⢾⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠈⠄⠠⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⡄⠀⠣⢹⣏⠿⡇⢀⡾⢷⡈⠣⢀⠒⠠⢁⠈⠄⠠⠀⠄⠡⠈⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠄⠂⠡⣈⠀⠐⠀⠀⣸⠏⣰⣿⠟⠠⡼⠁⠀⠀⠀⠀⠀⠀⠀⠑⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⢿⡡⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢦⠐⢀⠛⡼⣇⠞⣠⡿⠻⡄⠀⣠⡥⠖⠡⢈⠐⢈⠐⠠⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠈⠐⡈⠤⠁⡈⠛⢦⣤⡁⡼⢠⣿⣞⠠⢸⠁⠀⠀⠀⠀⠀⢀⣀⡤⡶⠃⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⢸⡃⢡⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠌⣽⡏⣰⠋⠀⠀⣹⠞⢉⡐⢈⠰⠀⠌⡀⠐⠀⠀⣁⣀⡿⠿⠿⠷⢶⣦⣄⡀⠀⢀⣠⣴⣶⠾⠿⠿⠯⢿⣀⡈⠐⠀⠄⡑⠠⢁⠂⠌⡙⠧⣼⡀⡿⠀⠘⠀⢀⣀⠤⠒⠋⠁⣠⠎⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣘⣿⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠄⠀⠀⠀⠀⢰⠀⠀⢸⡇⢂⠌⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡟⢰⠃⠀⣠⠞⠁⡐⠠⠐⠈⠠⠈⠀⣀⡴⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠉⠛⠦⣄⡀⠐⠠⢈⠐⡀⠂⠌⡙⢿⣤⠷⠚⠉⠀⠀⠀⢀⠜⠁⠀⠀⠀⠀⠀⠀⠀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢸⡏⠀⠐⠀⠀⠀⠀⠀⠀
⠀⠀⠀⢈⠀⠀⠀⠀⡆⠀⢸⡏⠤⠈⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣯⣤⣎⡡⠀⠁⠠⠁⠌⣀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢄⡀⢄⣠⠵⠒⠋⠉⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠀⠀⣠⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣻⡇⠀⡁⠀⢀⠀⠀⠀⠀
⠀⠁⠐⠀⡀⠀⠀⠀⠇⠀⢸⣏⠰⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⢦⠀⠉⠙⠒⠶⠤⣏⣁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠝⠋⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠏⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡐⣽⡇⠐⡀⠄⠀⢀⠀⠀⠀
⠀⠀⢁⠐⠀⠠⠀⠀⢐⠀⢸⣏⡐⢂⠈⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⣀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⣴⠮⣩⠟⠁⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡔⣹⣿⠀⠄⡐⠀⢀⠀⠀⠀
⠀⠀⠂⢀⠂⠁⢀⠂⠀⠀⣸⣧⠘⣀⠂⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡄⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣽⡿⠁⠀⠀⠀⠀⠀⠀⣠⠜⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠁⣜⡱⣿⠐⠠⠀⠄⠂⠀⠀⠀
⠀⠀⠁⡀⠐⢈⠀⡀⠐⠀⣿⢧⠃⡔⠠⢂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡄⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⠥⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠋⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢑⢢⡝⣿⠡⢈⠡⠐⠀⢁⠀⠀
⠀⠀⡀⠐⠀⢂⠐⠀⠄⢀⣿⣋⠖⡨⠐⠂⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠒⠉⡤⠀⠀⡠⠞⠀⠀⠀⠀⣠⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠐⡌⢳⡺⣽⡇⢂⠂⢡⠈⠄⠀⠀
⠀⠀⠀⡈⠄⢀⠂⢁⠂⢸⡿⣌⠳⢄⠃⡉⠄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠹⡢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⢀⡇⢠⠟⠁⠀⢀⣠⠄⠚⠁⠀⠀⡴⠃⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠱⣈⢗⡳⡽⡇⢂⠡⢂⠠⠀⠀⠀
⠀⠀⠀⠠⠀⢂⠈⠄⢨⣾⡟⡼⣃⢎⠰⢁⠌⠠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠈⢇⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠈⢦⠱⡄⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⣼⣥⠏⠀⠐⠊⢉⡽⢀⠀⠀⢠⠞⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⢨⠑⡜⣎⠷⣹⡇⠌⢂⠄⠀⠠⠀⠀
⠀⠀⠀⡁⠄⢂⠐⠨⢄⣿⡹⢧⡙⢦⠑⡌⠠⢁⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠈⣇⢦⡀⠀⢰⠤⢄⡀⢱⡀⠀⠘⡆⠘⢆⠀⠀⠀⠀⢀⢴⡟⠁⠀⢠⣴⣿⡏⠀⠀⠀⡠⠎⠀⠀⢀⡴⠃⠀⠀⠀⢀⠴⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢈⠤⡙⢼⣘⠯⡵⣇⠘⠠⢈⠐⠀⠀⠀
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⟡ pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
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horny people gtfo.... this is a website for symbols and cute emoticons there's literally no need to sexualize it. there's kids on here and people generally wanting to avoid that stuff.
- keith. 🦴
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first person smut story
im 13. i have an older brother who is 17. ryan. all my friends have crushes on him.
i mean, i cant blame them. he works out the gym and has abs and biceps n shit, and he looks like
the ideal guy youd repost on tiktok. hes got good fashion sense, and i cant lie he looks good in a compression shirt.
one day, my life changed with him completely.
its like june at this point so its pretty warm and ryan had his friend over, alex.
alex is the one i like the most. hes similar to ryan but a bit less buff and blonde.
im sat in my bedroom in my jean shorts and a short top i bought out of brandy melville.
as im sat on my bed having a scroll on tiktok, the door bursts open
“RYAN. FUCK OFF AND SHUT THE DOOR.” i shout. my eyes are still on my phone.
i noticed the awkward silence: something was off. usually ryan had started arguing or he would start attacking me.
but no. this is silence, pure silence.
“..ryan? whats going o-“
i get cut off as a small plastic bag gets wrapped around my head.
i have low iron and get dizzy really easily, so thanks to the lack of oxygen i passed out.
“dude, are you sure this is okay?”
“yes. weve literally been planning this for months.”
i heard. my eyes slowly open to see ryan and alex in my basement. shirtless.
“well well well, look whos awake” says ryan
i was tied to a chair with some ropes, wrists and ankles.
“what the fuck is this ryan? the both of you- is this some kind of a joke? because im not laughing.”
“shut up.” ryan said with a smirk on his face.
“what do you want. money? food? prank calls? what is this for?” i asked.
“we dont want any of that from you.” alex says.
“okay then what is this..” i asked again.
“we want pussy. bad.” alex said.
my jaw dropped. i never thought id hear something like that come from him- especially to me.
“okay uhm.. i know some girls in the upper grade? i dont know what you want me to do”
“no dumbass. we want yours.” he replied.
my eyes widened. no way. im years younger than them.
“now you better do it.” ryan said angrily.
as if i was ever going to do that. im a child and hes my broth-
“or else we’ll show everyone this.”
he pulled out his phone and showed me a video of me-
a video of me masterbating.
“WHAT THE FUCK- WHERE DID YOU EVEN GET THAT”
alex walked towards the chair.
“you dont need to know. now, ryans room is the only room in the house with a lock. its also
soundproof for band practice. you cant leave and nobody can help you. we’re going to untie you and youre
gonna stand up and take off all your clothes. understand?” alex says.
i hesitated- but then i realised my life would be ruined if anyone saw that video. i nodded my head.
alex looked at me and smiled. “good girl.”
ryan strolled behind the chair and untied the ropes on my wrists and ankles. i slowly stood up as he was still behind me and
took off my brandy melville top and my jean shorts to reveal my white bra and black panties. alex was standing in front of
me watching, his blue eyes staring deeply into mine. i was so embarrassed.
the tension between us got interrupted as i felt my panties get pulled down.
“hey what the fu-“
ryan covered my mouth with his hand and quickly put his thick 12 inch cock in me.
“fuck yeah.” he mumbled.
his cock was going in and out of me at a fast pace.
i was moaning uncontrollably- i was CRYING uncontrollably. my brother was fucking me.
please, uprate this if you want a part two!
- sweetheart 🩵 SWEET HEART PLZ DO PART TOO IM RLY EXSIDED
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