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