⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠀⠄⠂⠄⢂⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠠⠁⠌⠄⡑⠄⡂⢂⠡⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⠀⡁⠌⠄⠅⢅⢊⠰⡐⠠⠂⠅⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠄⠂⠄⡂⠅⠅⡂⠪⡐⡌⠪⠨⢂⠂⠅⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⠐⠈⠄⢂⠅⡐⠨⠨⡂⡊⢜⠨⠠⠡⢁⠂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠠⠁⠐⠠⢁⢂⠊⠌⢌⠐⠄⠅⡊⠨⠨⠐⡈⠄⠡⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠠⠐⠀⠐⠀⠂⠠⠈⠄⢁⠂⡁⢂⠠⠐⠀⢁⠠⠈⡈⠄⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠁⠀⠐⠀⠄⠀⠄⠈⢀⠂⠀⠂⠐⢀⠠⠀⢂⠠⠀⡂⠠⠀⠂⡀⠐⡀⠄⠂⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠈⠀⢀⢀⠁⡠⢀⢂⠠⢐⢠⢠⢨⢨⡐⡄⡢⢨⢠⠠⡡⡠⠡⡁⡢⠀⠅⠠⠐⢀⠄⢁⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠠⢐⠨⡠⢌⢆⢖⡲⡸⣘⢦⣓⢭⡣⣇⡧⣳⢵⢕⣧⣫⢮⢮⣪⣎⡎⣎⢖⢜⢬⣘⡐⡅⢄⢂⢐⠠⢀⠀⡀⠀⠀⠀⠀⠀⠀ ⠀⢀⢔⢰⢱⡱⣕⢧⣗⣗⣷⢽⣽⣞⣷⢽⣗⣟⣷⢿⣳⡿⣽⡷⣟⣿⣟⣿⣾⣻⣾⣯⣟⣷⣳⡽⣮⣞⡴⣢⡑⢔⠠⢀⠀⠀⠀⠀⠀⠀ ⠐⢌⡪⣪⢧⣻⣺⢽⣞⣯⡿⣯⣷⢿⣾⣟⣷⡿⣾⣿⣟⣿⣟⣿⣿⢿⣻⣽⣾⣿⣷⡿⣟⣯⣿⢿⣿⣾⢿⣷⣻⣼⡰⣂⢂⠄⠀⠀⠀⠀ ⠈⠔⡚⡮⣗⣟⣾⣻⣽⣷⡿⣿⢾⣿⢿⣽⣟⣿⣿⣯⣿⣿⣻⣟⣿⣿⣟⣿⣻⣽⣾⡿⣟⣿⣻⡯⣷⣿⢿⣯⣿⣞⢷⠵⠥⠀⠀⠀⠀⠀ ⠀⠀⠈⠊⠓⠛⠮⠯⣿⢾⣟⣿⣻⢽⣟⣗⣿⣽⣷⡿⣗⣿⣿⣿⣷⣿⣽⣟⡿⣯⣿⣻⣿⣽⣷⣿⢿⣾⣻⣽⢾⣻⡫⡫⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣾⣿⢷⣳⢝⠕⡕⡵⣯⣿⣽⣟⣿⣿⣷⣿⣿⣿⣷⣻⣻⣽⣾⣻⣞⣿⣺⣽⣿⢽⡯⡿⡽⡒⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⡝⠎⠂⠀⠄⡝⣞⢮⢗⠯⣝⢍⡟⣟⢟⣝⢮⢯⣟⣞⣗⣟⣞⡾⣽⡞⡯⡏⢎⠃⡑⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡀⢄⢐⠌⡎⡫⡊⢈⠘⡸⡱⣝⢗⡯⡯⣫⢗⡗⣗⢗⢗⡳⣝⢵⠝⠜⠠⠑⠁⠀⠀⠀⢄⠀⡠⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢂⢳⢽⢮⡿⡾⡚⡐⡰⡨⡢⡱⣱⡫⣏⢯⡺⡵⡹⢜⢎⠪⠂⠁⠁⠈⠈⠀⠀⠀⠀⠀⢸⣸⠠⡀⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠢⡍⣗⢯⣓⢜⡜⡼⡸⡪⡺⡪⡪⡪⡪⡪⡪⢊⠊⠄⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢕⢮⢊⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠘⠈⢇⢎⡗⣝⡜⡝⡪⡣⣋⢎⢮⣪⢪⡢⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢔⠔⠁⣸⢝⢆⠀⠄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠈⠀⠀⠱⡸⣝⣗⣗⢵⢱⡐⡴⣦⢀⡀⠀⠀⡀⠀⣀⠜⠁⠀⠀⣪⣯⠢⡠⠀⠂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢌⢺⡺⡺⡪⡎⣖⣟⢎⠔⢭⢺⢮⣻⣢⣷⠁⠀⠀⠀⠀⣺⢎⢮⢢⢅⢂⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠠⢑⠕⠕⡕⣝⢞⡕⡕⢕⢍⢢⠡⢑⢾⣻⣺⡥⠀⠀⠀⠀⡢⣯⢾⣹⣪⢖⢌⠌ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠌⠀⢂⠂⡌⢎⠪⡨⡊⡎⢎⢎⣗⡵⡱⡡⠊⠝⡷⡇⠀⠀⢀⢮⣞⣮⢯⣞⡷⣝⡆⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠌⠀⠌⢔⠪⡈⢆⢕⢜⢜⣜⡵⣿⡾⣿⠙⠪⡣⡕⡨⢑⠀⠀⠨⡯⣿⢾⣻⣮⢟⡎⠎⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢎⠆⠃⠁⠈⡎⠪⡘⡌⡎⡖⡵⣳⣳⣟⣿⣻⡽⡁⠀⠀⠈⢚⡎⡔⡀⠈⠊⠕⠟⡝⢎⠃⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡢⠪⠂⠂⠀⢀⠱⡁⠅⠢⡨⡪⡸⡪⣳⢳⣳⣻⣪⡳⡐⠀⠀⠀⠀⠈⢪⡂⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⠄⠌⡀⠀⠀⠀⡨⢂⠢⡑⡱⡘⡜⡜⣎⢮⢳⡣⣗⢞⡮⡧⠡⠀⠀⠀⠀⠀⠱⣜⢄⠄⡀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠄⡠⡡⣊⠔⠡⢂⠆⠀⠀⠀⢊⢐⠅⠕⡌⢎⢪⢪⡪⡎⡧⡳⢕⢏⠎⢎⠨⠂⠀⠀⠀⠀⠨⣳⢗⡵⡡⠢⢥⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⢄⠡⣪⠋⠀⠀⠠⡰⡑⠀⠀⠀⠐⠄⠕⡑⡌⡪⡪⡪⠪⡊⠎⢊⠌⡐⡌⡂⡃⠁⠢⡠⡀⠀⠈⠘⡽⣪⢷⢭⡣⡣⡫⠀⠀ ⠀⠀⠀⠀⠈⢆⢞⡎⠀⠀⠀⠈⠊⠀⠀⠀⠀⠀⠁⠅⠊⢌⠊⠌⠌⠨⡠⠨⢀⠊⡀⢂⠠⢀⠡⠀⠑⠀⠀⠀⠀⠈⠘⠹⡳⢧⠣⡊⠔⠀ ⠀⠀⠀⠀⠀⠠⡳⠍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠠⠐⡀⢂⠅⡄⠊⢀⠐⡀⠂⠄⡂⠄⡂⠅⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠣⣂⠀⠀ ⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠨⠨⠠⡃⠀⠌⢀⢂⠢⡡⡑⢄⠕⡐⠠⢀⠐⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⢌⠂⢀⠌⡐⡡⢂⠊⢔⢌⠆⡕⢌⢪⢐⢌⢆⢐⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢐⢐⠌⡂⢇⠣⡱⢘⠈⠌⠢⡣⡃⡪⡐⢌⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⢅⠂⠂⡁⠊⠔⠑⠈⠀⠀⠈⠈⡢⡊⡢⢑⢐⢐⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⢐⠈⠄⢂⠡⠀⠀⠀⠀⠀⠀⡐⡐⡐⠌⡒⡔⣐⢐⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⢀⠀⡀⢀⠀⡈⠄⠌⠌⠄⠂⠀⠀⠀⠀⢀⢂⢆⢢⢡⢑⢌⢜⢔⡕⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢀⢁⢐⠠⢂⢐⢐⠐⡀⡂⡢⢁⠅⠅⠅⠀⠀⠀⠀⠀⠂⢆⢪⢸⢸⢸⡸⡱⡕⡕⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠰⢌⣎⢦⡲⡑⡔⡔⡐⢌⠔⡐⢌⠔⡠⢅⠁⠀⠀⠀⠀⠀⠀⠁⠁⠑⠑⠁⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠨⠪⠳⡯⣾⣺⢼⣬⢎⢪⢊⡢⠱⡰⡐⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠉⠉⠚⠛⠿⢶⢵⠱⣑⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀