⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡤⠖⠋⠉⠀⢀⣄⠀⠉⠛⠻⣶⡚⠛⠿⠿⠿⠿⢿⣭⣿⣿⣿⣷⡶⢶⠶⢾⠿⠿⠿⠿⠯⠭⠭⠽⢿⣶⣦⣄⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀ ⠀⢀⡴⠋⠀⠀⠀⠀⣠⠏⡟⢦⠀⠀⠀⠀⠙⢦⡀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠘⣇⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⢀⣹⢾⠆⠀⢸⣀⡀⠀⠀⠀⠀⠀⠀⣀⡇⠀ ⢀⡞⠁⠀⠀⠀⢀⡼⠃⣠⣇⡈⢳⡄⠀⠀⠀⠈⢷⡀⠀⠈⢷⣀⠀⠀⠀⣀⣀⣠⣈⣳⣤⣽⡶⢀⣀⣀⣠⢶⡿⠽⠛⠉⠀⠀⠈⠉⢧⠀⠀⠠⠀⠀⣰⠋⠁⠀ ⣼⠁⠀⠀⠀⣠⣾⣖⡯⠟⡗⢿⣳⢽⣆⠀⠀⠀⠈⣿⠯⠭⠿⢿⣷⡛⠉⠉⠀⣀⣀⣀⣹⠿⣭⣭⣭⡤⠴⢻⣇⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⢰⠇⠀⠀⠀ ⡇⠀⠀⠀⠀⡿⠚⠉⠀⠀⡇⠀⠈⠙⢯⡅⠀⠀⠀⢹⣟⢿⣷⣮⣯⣷⢰⣞⣛⣯⠘⣿⣿⢦⡀⣙⣆⠀⠀⣟⡇⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠒⠒⠋⠀⠀⠀⠀ ⣷⠀⠀⠀⠀⠙⣆⠀⠀⠀⡇⠀⠀⣠⠏⠀⠀⠀⠀⡾⠈⠻⣿⣏⠳⣌⣿⣟⡿⢋⣤⠈⢉⣩⠯⢵⡟⢀⣼⣽⣤⣄⡀⠀⠀⢰⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⣶ ⠸⡆⠀⠀⠀⠀⠈⢧⠀⠀⡇⠀⣰⠋⠀⠀⠀⠀⢰⠇⠀⠀⠈⢿⣷⡈⠳⡟⠀⠿⠼⠀⠘⣏⣍⡿⠴⠟⠉⠈⠉⠛⢯⣷⡄⠘⢲⠀⠀⠂⠀⠀⠀⠐⠀⠀⣶⠛ ⠀⠹⣆⠀⠀⠀⠀⠈⢳⡀⡇⡼⠃⠀⠀⠀⠀⣴⣿⣶⠤⣄⣀⣠⣯⠗⠀⠀⢀⡤⠖⠛⠉⠙⠛⠳⢦⣀⣠⣤⣶⣧⣀⡽⡿⢠⣸⠀⠀⠀⠀⣤⠀⠀⠀⠀⣿⣀ ⠀⠀⠈⠳⣤⡀⠀⠀⠀⠳⡿⠁⠀⠀⢀⣤⢾⠁⠀⠈⠉⠙⠛⢚⡃⠀⠀⢠⠏⠀⢠⣤⣤⡀⣤⣤⡄⢹⣖⠲⢿⣿⡒⠋⠁⢸⣄⣀⣀⣀⣰⠋⣧⣀⣀⣀⣀⣿ ⠀⠀⠀⠀⠀⠉⠓⠶⣤⡤⢤⣤⢶⣞⣉⡘⣞⣦⠀⠀⣀⣠⡶⠋⠹⡆⠀⣼⠀⠀⣿⡇⣿⡇⢸⡇⠀⠀⣏⡿⡆⣷⡇⠀⠀⠀⢠⡤⠤⠤⠤⠤⠤⠤⠤⠤⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢧⣇⠀⠈⠙⠛⣚⡿⠟⠚⠛⠛⠛⢮⣙⢷⡀⠻⡄⢸⡀⠀⠹⣷⡿⠃⠸⠿⠃⣸⡯⠟⣡⣯⠇⠀⠀⠀⢸⣤⡀⠀⠀⠀⠀⠀⠀⣤⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣽⡄⠀⠀⣾⡥⠴⠒⠒⠲⡄⠀⠀⠙⡟⠧⠤⠟⠀⠙⠦⣄⣀⠀⠀⣀⣠⣾⣧⣖⡯⠟⠁⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⡼⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣦⣰⠛⠦⠤⠤⠴⠾⡧⡶⢦⡼⠃⠀⣀⡤⠤⠖⠒⠚⠛⠛⠛⠛⠓⢲⣿⣷⡦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⣰⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⡶⠤⠤⠤⠖⢚⡽⠃⠀⡿⣠⠞⠁⣀⣠⡤⠴⠆⠀⠀⠀⠀⠀⠈⣧⠙⢿⡻⣿⣄⡀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⡶⡤⢤⣀⣀⣀⣀⣠⣷⣿⠖⠒⢲⡞⠙⠦⠴⠞⢡⡇⢸⣾⡯⠁⠀⣀⣤⠤⠤⠤⠤⠤⠤⣜⣓⣾⣷⠿⣷⣿⣷⣆⠀⣴⠚⠋⠉⠉⠉⠉⠉⠉⡇⠀ ⠀⠀⠀⠀⢻⣿⠙⠛⠛⢒⣲⠿⠋⠀⢀⡴⠋⠀⠀⠀⠀⠀⠈⠳⠤⠤⠤⢖⡿⣡⣶⣄⠀⠀⠀⠀⠀⠀⠀⣾⣿⡛⠻⣿⡿⠋⠀⢧⡀⠀⠘⠛⠀⠀⢸⡏⠁⠀ ⠀⠀⠀⠀⠘⣟⣧⠀⠀⣞⣁⣀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠀⣿⣿⣿⠀⠀⠀⠀⠀⢠⡾⢻⣿⡇⠀⣿⢻⠀⠀⢸⠁⠀⠰⠶⠀⠀⠸⠧⡄⠀ ⠀⠀⠀⠀⠀⠈⢻⣷⣄⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠻⠷⠏⠀⠀⠀⠀⣰⠋⠀⠀⢿⠀⢀⣿⣿⡆⠀⠈⠓⠦⠤⠤⠤⠤⠤⠤⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠘⣧⡼⣹⡽⠀⠀⢀⣠⠤⠶⠒⠶⠦⣤⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⣛⣯⣟⡶⠂⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠙⠦⣄⣀⣀⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢹⣻⠀⢀⡞⠁⠀⢠⠶⣄⠀⠀⠹⡄⠀ ⠀⠀⠀⠘⢶⣖⣖⣒⣒⣶⡿⠽⠟⠛⠉⠀⠀⠀⠀⠀⠀⢠⠏⠙⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡇⢸⡄⠀⠀⢸⣀⡼⠀⠀⢀⡇⠀ ⠀⠀⠀⠀⠀⠈⠻⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢦⣤⠴⠞⠋⠀⠀⠀⠀⠀⠀⢀⣀⡤⣖⣓⣦⠤⢤⣤⣤⠼⣻⠁⠀⠹⢦⣀⡀⠉⢁⣀⡤⠞⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠺⢽⣲⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡤⣴⣖⡿⠽⠛⠋⠁⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠚⠿⠯⠿⢷⣶⣶⣶⣶⠿⠯⠽⠿⠓⠚⠉⠉⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣤⣀⣀⣤⣄⠀⣠⠤⣄⠀⢀⣤⢤⡀⠀⣀⣤⣄⡀⠀⢀⣤⣄⠀⠀⠀⠀⡟⠉⡿⠀⠀⢀⣤⣄⠀⠀⣠⣤⣀⣀⣀⣠⢤⡀⣀⣀⣠⠤⣄⠀ ⠀⠀⠀⠀⠀⢸⡇⠠⣟⠁⡤⠈⣷⣷⠀⣸⠀⢸⡂⢀⡇⡼⠋⣤⠈⢳⠀⣹⠀⢸⠂⠀⠀⡼⠁⠸⡇⠀⠀⢻⠀⢸⠀⠀⡇⠀⣿⠀⠉⣀⠀⣿⠍⢩⣿⠀⣿⠀ ⠀⠀⠀⠀⢀⡼⠃⢸⣿⠃⡀⠀⡿⡏⠀⣯⣀⢸⠁⢸⣥⡇⢠⣿⠀⣸⡞⠉⠀⣿⠀⠀⡼⠁⣠⠀⢷⠀⣠⠞⠀⣽⢀⡴⠃⢸⣿⠀⠀⠀⢴⡿⠀⠘⠃⠀⣧⠀ ⠀⠀⠀⣞⠋⣀⣀⣸⣇⡀⣁⣼⡉⠁⠀⡤⣍⠉⠀⣠⠼⢧⡈⢁⣀⠉⢀⡄⠀⡏⠀⢾⡁⣰⢻⡀⢘⡛⢁⣀⣀⣟⠋⣀⣀⣸⣿⣀⢀⣀⡼⡷⠀⣴⡆⢰⡏⠀ ⠀⠀⠀⠉⠉⠁⠉⠁⠈⠉⠉⠈⠹⣄⡼⠇⠉⢧⣠⡿⠀⠀⠉⠉⣏⠀⠛⠁⠀⡇⠀⠀⠉⠁⠀⠉⠉⠉⠉⠈⠉⠉⠉⠁⠉⠁⠀⠉⠉⠁⢠⠗⠀⡿⠁⢸⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⠒⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠚⠛⠓⠋⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⠖⠋⠉⠀⠀⠀⠀⠉⠙⠳⣶⡞⠛⠿⠿⠿⠿⢿⣭⣿⣿⣿⣷⣶⣶⣶⣾⡿⠿⠿⠿⠯⠭⠭⠭⣿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀ ⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⣤⡀⡀⠀⠀⠀⠙⣦⡀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠸⣇⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⡇⠀⢸⣁⠀⠀⠀⠀⠀⠀⠀⡀⡇⠀ ⢀⡞⠁⠀⠀⠀⣠⠶⠶⠾⢼⣽⢻⡃⠀⠀⠀⠈⢳⠀⠀⠈⢳⡀⠀⠀⠀⣀⣀⣠⣨⣷⣤⣽⡶⢀⣀⣀⣤⣶⠿⠿⠛⠁⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⣰⠋⠀⠀ ⣼⠁⠀⠀⠀⢰⠃⢀⡖⠐⢲⡆⢨⣽⡟⠀⠀⠀⠈⣿⠭⠿⠿⣿⣷⡚⠉⠉⠁⣀⣀⣀⣹⠿⣭⣭⣭⠥⠶⢿⠀⠀⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⢰⠃⠀⠀⠀ ⡏⠀⠀⠀⠀⢈⡷⠄⣑⣶⠾⠁⡼⠀⠀⠀⠀⠀⠀⣿⣿⣿⣶⣾⣿⣇⣰⣞⣛⣯⠘⢿⣿⢦⣀⣹⣆⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠘⠓⠒⠒⠋⠀⠀⠀⠀ ⣷⠀⠀⠀⠀⢸⡀⢸⣉⢉⡇⢀⡇⠀⠀⠀⠀⠀⠀⡿⠀⠻⣿⣯⠳⣬⣿⣛⡿⢋⣤⠀⢉⣩⣯⣵⡟⢀⣼⣿⣥⣄⣀⠀⠀⢰⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⢲ ⠸⡇⠀⠀⠀⠈⠛⢦⣩⣉⢀⣸⢦⡄⠀⠀⠀⠀⢰⠃⠀⠀⠈⢿⣷⡈⠻⡏⠀⠸⠼⠆⠘⣯⣍⡿⠴⠟⠁⠈⠉⠛⢿⣷⡄⠘⢲⠀⠀⠀⠀⠀⠀⠐⠀⠀⣶⠊ ⠀⠹⣆⠀⠀⠀⠀⠿⠟⣯⡏⠉⠉⠀⠀⠀⠀⣴⣿⣶⣤⣄⣀⣴⣿⠇⠀⠀⢀⡴⠞⠋⠉⠉⠛⠳⢦⣀⣠⣤⡶⣧⣀⣿⡅⢠⣸⠀⠀⠀⠀⣤⠀⠀⠀⠀⣿⣀ ⠀⠀⠈⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⠁⠀⠈⠉⠙⠛⢛⠃⠀⠀⢰⠏⠀⢠⣤⣤⡀⣤⣤⠀⠹⣟⠺⢿⣿⡛⠋⠀⢸⣀⣀⣀⣀⣰⠛⣧⣀⣀⣀⣀⡸ ⠀⠀⠀⠀⠈⠉⠓⠶⡦⣤⢤⣶⣶⣞⣉⡈⣿⣦⠀⠀⣀⣠⡾⠋⠙⡆⠀⠘⠀⠀⣿⡏⣿⡇⢸⡏⠀⠀⣿⡿⡎⣿⡇⠀⠀⠀⢠⡤⠤⠤⠤⠤⠤⠤⠤⠤⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⣧⠀⠉⠙⠛⣻⡿⠟⠛⠛⠉⠻⣯⣙⢷⡀⢳⡄⢸⡄⠀⠹⢷⡿⠃⠸⠟⠀⣸⡿⠟⣡⣿⠇⠀⠀⠀⠸⣤⡄⠀⠀⠀⠀⠀⠀⣤⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡄⠀⠀⣾⡥⠔⠒⠒⠲⡄⠀⠀⠙⡟⠧⠤⠟⠀⠙⠦⣤⣀⡀⠀⣀⣠⣾⣧⣶⡿⠟⠁⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⠀⠀⡼⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⣴⠛⠦⠤⠤⠴⠾⣥⡤⢤⡴⠃⠀⣀⡤⠤⠶⠒⠚⠛⠛⠛⠛⠓⢲⣿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⣸⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⡶⠤⠤⠤⠖⢛⡽⠃⠀⣿⣰⠞⠁⢀⣠⡤⠤⠄⠀⠀⠀⠀⠀⠈⣧⠙⢿⡿⣿⣆⡀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⡶⣤⣤⣀⣀⣀⣀⣠⣿⣿⠖⠒⣲⡟⠙⠶⠴⠚⠁⠃⢸⣿⣯⠀⠀⣀⣠⡤⠤⠤⠤⠤⢤⣌⣳⣾⣿⡿⣿⣿⣿⡆⠀⣴⠟⠉⠉⠉⠉⠉⠉⢹⡇⠀ ⠀⠀⠀⠀⢿⣿⠉⠙⠛⠛⣻⠿⠋⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠳⠤⠤⠤⢶⡿⣡⣶⣆⠀⠀⠀⠀⠀⠀⢀⣿⣿⡛⢻⣿⡿⠃⠀⣧⡀⠀⠘⠛⠀⠀⢰⡏⠁⠀ ⠀⠀⠀⠀⠈⢿⣦⠀⠀⣞⣁⣀⡤⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⣿⣿⣿⠀⠀⠀⠀⠀⢀⡞⢻⣿⡇⠀⣿⣿⠀⠀⢸⠁⠀⠀⠶⠀⠀⠸⢧⡄⠀ ⠀⠀⠀⠀⠀⠈⢻⣷⣄⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠹⠷⠏⠀⠀⠀⠀⣰⠋⠀⠀⢻⠀⢀⣿⣿⠀⠀⠈⠓⠦⠤⠤⠤⠤⠤⠼⠇⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠘⣧⡼⣽⣿⠀⠀⢀⣠⠤⠔⠒⠲⠤⣄⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⣻⣿⣟⡶⠂⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠙⠦⣄⣀⣀⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⣵⠀⢀⠟⠁⠀⢠⠶⣄⠀⠀⢹⡄⠀ ⠀⠀⠀⠐⢿⣖⣖⣒⣒⣾⣿⠽⠟⠛⠁⠀⠀⠀⠀⠀⠀⢰⠏⠙⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣟⡆⠸⡀⠀⠀⢸⣀⡽⠀⠀⢠⡇⠀ ⠀⠀⠀⠀⠀⠉⠻⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣦⣤⠴⠚⠉⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣳⣶⣤⣤⣤⣤⣴⣿⠁⠀⠻⢦⣀⠀⠀⠀⣀⣤⠞⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣶⣦⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣴⣶⡾⠿⠛⠉⠁⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠿⠿⠶⠶⠶⠶⠶⠶⠿⠿⠟⠛⠋⠉⠉⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⣤⣀⣠⣤⣄⠀⣠⠤⣄⠀⢀⡤⢤⡀⠀⣀⣤⣄⡀⠀⢀⣤⣄⠀⠀⠀⠀⡟⠉⡿⠀⠀⢀⣤⣤⠀⠀⣠⣤⣀⣠⣀⣤⢤⣀⣀⣀⣠⠤⣄⠀ ⠀⠀⠀⠀⠀⠸⡇⠀⣟⠁⠤⠈⣇⣷⠀⣸⠀⢸⡆⢠⡇⡼⠋⣠⠀⢳⠀⣹⠀⢸⠂⠀⠀⡼⠁⠀⡇⠀⠀⢻⠄⢸⠃⠀⡇⠀⣿⠀⠉⣀⠀⣻⠉⢹⡿⠀⡿⠀ ⠀⠀⠀⠀⢀⡼⠃⢸⡿⠃⠀⠀⣎⡏⠀⢯⣀⢸⠁⠸⣧⡇⠠⣿⠀⣸⡞⠉⠀⣈⠀⢀⡾⠃⣀⠀⢷⠀⣠⠞⠀⣽⢀⡴⠃⢸⣿⠀⠀⠀⢴⡿⠀⠸⠃⠐⣧⠀ ⠀⠀⠀⣞⠋⣀⡀⣸⣇⠀⢀⣴⡉⠁⢀⡤⣍⠉⠀⣠⠴⢧⡀⠁⣀⠁⢀⡄⠀⡇⠀⢺⡁⣰⢻⡀⢘⡛⢁⣀⣀⣟⠋⣀⣀⣸⣿⡀⠀⣀⣴⡷⠀⢰⡆⢰⡏⠀ ⠀⠀⠀⠉⠉⠁⠀⠀⠈⠉⠁⠈⢻⣤⡼⠇⠙⣧⣤⠟⠀⠀⠉⠉⣏⠀⠛⠁⠀⡇⠀⠀⠉⠁⠀⠉⠉⠉⠉⠀⠀⠈⠉⠁⠀⠀⠀⠈⠉⠀⢠⡇⠀⡿⠁⢸⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠓⠒⠂⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠚⠋⠓⠋⠀⠀