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