⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⢋⠉⠹⢚⡙⠻⡙⢯⣑⣄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⣊⢉⠠⠄⠀⡆⠡⣄⣹⢒⢮⠣⡟⣾⠦⢤⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣏⡖⢢⠐⡆⢣⠒⣄⠐⡏⡀⢐⢊⠢⣍⢳⡽⣳⣞⠦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣞⡖⣋⣉⠄⢨⡒⢥⠚⣤⠂⢽⢳⣬⣆⠳⠞⡮⣵⢋⡾⢧ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢮⡽⣱⣚⠴⣊⠖⠸⢂⣭⣴⢍⡸⢦⣳⣻⣟⣾⣱⣞⣯⢿⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠖⡙⣬⢧⣗⡾⢡⣋⣜⡷⣎⣽⣿⣷⣿⣿⣷⣿⣾⢽⣿⣫ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠙⠳⢉⣈⢳⣤⣋⢧⣝⡚⣙⢮⢿⣿⣿⣿⣿⢿⠽⠛⠋⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣌⡓⢧⢎⡷⢺⣯⠞⠦⣡⢩⢚⡿⣿⢿⡿⣿⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⢀⡏⣜⠳⢎⣽⣉⠒⢫⠓⠤⢖⡪⠔⡋⠏⠹⢮⣑⠦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢧⡶⣘⣾⡹⣌⠶⣩⢞⣣⠹⢦⢩⠐⡌⠁⡈⢳⢫⡽⣷⣬⣲⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⢪⡟⣱⠮⣽⣈⣥⢫⡜⢖⣳⣬⢦⣎⡔⡌⡱⣎⣶⣛⣷⢻⣧⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣚⠻⠶⣹⣍⠳⣅⡏⡆⢷⠬⣓⢎⠶⣏⢸⡳⣎⢵⣻⣼⣿⣾⣿⡿⡸⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣽⢟⢉⠳⣃⠞⡻⡜⣵⢸⡲⢦⡳⢎⡻⢼⣦⣛⣽⣞⣿⣿⣿⣿⣿⡟⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⡧⢭⠌⣇⣰⢋⠷⣙⠞⣷⣙⡮⢙⠃⡰⣂⢿⡹⣞⣿⣿⡿⠿⠛⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⢖⡩⢲⡙⢎⡒⢤⣐⣊⡑⢊⡜⣱⡉⠆⠣⡘⣁⢽⡲⣝⣯⢿⣿⢳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⡤⠞⣥⠊⠵⡡⠚⢌⡡⢊⡴⠡⡜⠠⠋⠁⢀⡈⠖⣀⢋⢳⣹⣙⠾⣿⣿⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⣴⣾⢝⠫⠗⢂⢋⡜⡐⢧⠉⣜⡡⢞⡡⠜⠑⣩⢁⡂⠈⢒⠳⠏⣄⠦⣝⣻⣿⣯⢯⢣⠀⠀⠀⠀⠀ ⠀⣠⢞⡙⡲⣍⠲⣌⡷⣎⡼⣁⢦⡹⣌⠵⣢⡙⣎⢿⡑⣯⢁⣟⢫⡑⣊⠁⠐⡌⢭⢲⣯⢿⡾⡄⠀⠀⠀⠀ ⣿⡷⢯⡸⠑⣎⠷⣫⢞⣽⢷⡞⣌⠳⣌⡹⢥⣛⣽⣮⢽⣏⣿⣈⠲⡓⡼⢭⢱⢚⣦⣿⡿⣿⣯⡧⠀⠀⠀⠀ ⣿⡝⣦⢳⢛⣬⢻⣹⣾⣮⢷⣫⣽⣻⣬⢷⣳⣾⣿⣾⣿⣟⣶⣏⡳⣝⣶⡯⣞⡱⣯⣷⣿⡿⡿⠁⠀⠀⠀⠀ ⣿⠾⣥⢧⣛⣼⣳⣯⣷⣟⣾⣷⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣟⡶⣿⣽⣣⣿⣏⡷⣽⡲⣏⡏⡇⠀⠀⠀⠀⠀ ⣟⣿⣞⣧⣟⣾⣷⡿⣿⢿⣿⣿⣿⣻⠿⠿⠟⠟⠛⠛⠛⣟⡾⡽⣟⢞⣿⣱⢮⣛⣶⣿⢫⢷⠇⠀⠀⠀⠀⠀ ⠈⠚⠯⢾⣿⡿⠛⠊⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⣹⢻⣎⢧⣯⣟⣿⣻⡾⣫⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣷⣾⣿⣾⣿⣾⣿⠝⠁⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠁⠝⣿⣾⣿⣾⣿⣾⣷⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⢀⠀⠀ ⠀⠀⠀⠀⠀⠀⠋⣫⡾⣻⣿⣟⣯⢧⣎⢻⣹⣷⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠉⠊⠛⡿⣿⢾⠯⠚⠈ ⠀⠀⠀⠀⠀⠇⢷⢫⣿⣶⣛⢮⣱⣿⢞⣟⡽⡾⣟⠛⠛⠛⠟⠟⠿⠿⣻⣿⣿⣿⢿⣿⡿⣷⣾⣟⣧⣞⣿⣟ ⠀⠀⠀⠀⠀⡇⡏⣏⡲⣽⡷⣏⣿⣣⣽⣿⡶⣟⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣷⣾⣟⣷⣯⣳⣼⣛⢧⣥⠾⣿ ⠀⠀⠀⠀⠁⡿⡿⣿⣷⣯⡱⣞⡯⣶⣝⡳⣏⣶⣟⣿⣾⣿⣾⣳⢷⣬⣻⣽⣫⢷⣮⣾⣹⢻⣬⢛⢳⣦⡝⣿ ⠀⠀⠀⠀⡧⣯⣿⡿⣿⣦⢚⢱⢭⡼⡓⠲⣈⣿⣏⢽⣮⣽⣛⢥⡹⣌⠳⣌⡞⢷⣽⢞⣫⠷⣎⠑⡸⢯⡷⣿ ⠀⠀⠀⠀⡄⡾⢿⣯⢲⢭⡌⠐⠁⣊⡑⢫⣟⢁⣯⡑⢿⣎⡙⣢⠵⣌⡹⢦⣁⡼⣎⡷⣌⠲⣍⡲⡙⢞⣠⠀ ⠀⠀⠀⠀⠀⢣⢯⣯⣿⣻⣝⠦⣄⠏⠳⢒⠈⡂⢁⣩⠑⠜⡡⢞⡡⣜⠉⢧⡐⡜⢋⢂⠗⠫⢝⣾⣴⠀⠀⠀ ⠀⠀⠀⠀⠀⡄⣿⣿⣿⠾⣙⣹⢳⢋⣀⠖⡈⢀⠁⠋⠠⡜⠡⡴⢊⡡⢌⠚⡡⠵⠊⣥⠞⡤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢳⣿⢿⣯⣝⡲⢽⣁⡘⠣⠆⡉⣱⡜⢊⡑⣊⣐⢤⡒⢎⡙⢲⡩⢖⡠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠋⠛⠿⡿⣿⣿⣞⡹⢿⣂⡰⠃⢙⡮⣙⣷⠞⣙⠷⢋⣰⣇⠌⢭⡧⡿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⡟⣿⣿⣿⣿⣿⣞⣽⣛⣦⢼⡻⢎⡳⢦⡲⢸⣵⡜⡻⠞⣃⠳⢉⢟⣽⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡸⡿⣿⣾⣿⣼⣻⢵⣎⡳⢸⣏⠶⢎⣓⠬⢷⡆⡏⣅⠳⣍⣹⠶⠻⣚⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡇⣧⢻⣷⣛⣶⣎⡱⡌⡔⣎⢦⣬⣳⢖⡜⢫⣥⣈⣽⠮⣱⡟⢪⡜⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡀⣲⣬⣷⡽⢫⢳⡈⠁⡌⠐⢩⢦⠹⣣⢞⣩⠶⣌⡹⣾⣘⡶⢧⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡀⠦⣑⢮⠹⠏⡋⠔⡪⢖⠤⠓⢫⠒⣉⣽⢎⠳⣜⡏⢀⡼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠃⣿⡿⢿⣿⡿⢚⢩⣡⠦⠞⣯⢺⡷⢎⢧⡓⣌⡟⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠁⠋⠛⠽⢿⣿⣿⣿⣿⢿⢮⣙⡚⣝⢧⣋⣤⢳⣈⢉⠳⠙⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣫⣿⢽⣾⣿⣷⣿⣿⣷⣿⣽⣎⡷⣜⣋⢡⡾⣗⢧⣬⡙⠖⡿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣽⢿⣯⣞⣱⣾⣟⣻⣳⢦⡸⢍⣴⣭⢂⠸⠖⣊⠴⣚⣱⡽⢮⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢧⡾⢋⣵⡮⠞⠳⣆⣬⢳⢽⠂⣤⠚⢥⡒⢨⠄⣉⣋⡖⣞⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠦⣞⣳⡽⢳⣍⠢⢊⢐⡀⡏⠐⣄⠒⢣⡆⠐⢢⡖⣏⣠⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢤⠦⣾⡟⠣⢮⢒⣹⣄⠡⡆⠀⠄⠠⢉⣊⠔⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣄⣑⢯⡙⠻⡙⢚⠹⠉⢋⠖⡤⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀