⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⡯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⢬⣇⣔⣴⣤⡴⣴⡤⣔⣧⣀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⡬⣗⡾⣽⣺⣞⣾⣳⡿⣯⢿⣯⣿⢿⣯⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣯⢿⣽⢿⣽⡿⣾⣯⣿⡿⡿⢟⠛⡚⢛⠙⠛⠞⣯⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⡿⠊⠍⡈⠡⠁⠍⢌⢘⠨⠨⢰⠾⡛⡛⢛⠛⡻⢶⣄⠝⣾⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡽⠁⡈⠠⣐⣨⢬⡾⠽⡐⠄⠅⡊⢌⠐⡐⢀⢂⢐⠠⠉⢷⡘⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣺⣡⠶⠞⠻⢙⢉⢓⠘⢌⢐⠨⢐⠨⡐⢐⣠⡦⡶⡲⠬⣬⡄⢅⢳⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣝⠔⡕⠋⣝⣿⡽⡕⢪⠰⡐⠨⠠⡑⠬⠊⢸⣺⡾⡳⠀⠀⢅⠅⢼⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⡐⠠⡀⠘⠚⠝⡁⠄⡃⡊⠌⡂⡊⠌⡂⠄⢌⠩⢐⠨⡨⢂⠌⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡃⠅⡂⠅⠅⠕⠠⢁⠂⡐⠐⡐⠄⡑⠨⠨⢂⠕⠡⡑⡐⠔⣨⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢂⠄⠅⠡⠨⢐⢐⢐⠨⢰⠢⡑⠨⠨⡈⠄⢌⢂⠢⡨⠨⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⢌⢊⢎⠖⡔⠐⠌⡂⡅⡪⡨⡪⠜⡜⢔⢅⠪⡢⡙⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠠⡀⢄⢔⢐⠀⠀⠀⠀ ⡀⣀⠠⡠⡠⡰⡐⡔⡜⡜⣌⠢⡑⢔⢑⠌⢕⠒⠖⡒⡓⡩⡘⡌⡎⡪⡢⡣⡣⡵⡨⠨⠨⠨⠨⡨⢨⢨⢨⢂⠆⠕⠨⢘⠔⡡⠂⢄⠀⠀ ⠁⠁⠉⠈⠈⠈⠈⠊⠘⠘⠘⠘⠌⠆⡢⢡⠡⡃⡇⡇⡇⡇⡇⡣⡕⡕⣕⢕⡵⡣⢊⠪⡑⡕⡱⡸⠨⠢⠱⠐⢌⠨⡐⡐⢅⠪⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢎⢖⡕⡕⡜⡜⣜⢜⡜⣎⢞⣜⣼⢝⠕⡌⢆⠣⡱⡱⣿⣟⣷⣕⣅⠌⠰⠠⡐⠅⡅⠕⠀⠀⠀⠀ ⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢕⢑⢝⢺⢺⢮⡮⣧⢗⢷⢻⢚⢜⢔⠕⢌⠢⡑⡰⢸⢕⠻⣻⣽⣷⣿⣬⠨⠢⡑⢌⠂⠀⠀⠀⠀ ⡿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡂⢅⠢⡑⠜⡔⢕⢕⠭⡪⡪⡪⡊⡢⡑⡅⢕⠌⣂⣗⡇⡇⠝⣿⣿⣻⡾⢜⠬⡌⡆⣧⡀⠀⠀⠀ ⢻⡹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⡂⠌⡢⢑⠜⢌⢆⠇⡇⡣⡪⡸⡐⢕⠸⡐⣱⣺⣺⢸⠠⡃⣿⢽⣿⣟⣖⢵⡨⠠⡑⣧⠄⠀⠀ ⢘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⣂⠅⠢⡑⡘⢔⢅⢣⠱⡑⡌⡆⢎⢪⣸⢼⣳⡳⣡⢃⠪⡐⢜⢯⢯⣗⣯⣿⢎⠂⢌⢞⣗⠀⠀ ⡇⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡳⣕⣨⠨⡢⠱⡘⢜⢌⢎⡼⣼⢾⡽⡽⢣⢕⠕⢌⠪⣨⣾⡿⣯⣷⣿⣻⡕⢅⢂⢳⣻⡂⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣙⠽⣞⣯⢿⡽⣯⢿⣽⣻⡽⡯⢏⡫⡎⡣⡱⡘⢔⢵⡿⣽⣿⡿⣿⣽⡿⣎⢂⠢⡱⣽⠆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢑⠪⢍⡫⡫⡛⣝⣚⣕⢭⢺⢩⢊⢎⢢⢒⠜⡌⣿⣺⢿⣷⣟⣯⣷⣿⢣⢑⠌⣮⡿⡁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡡⢑⠌⢍⠪⡑⢕⢌⢎⢜⢔⢕⢅⠇⡎⡜⢜⡿⣼⡿⣿⣿⢽⣾⣗⢕⢐⢕⣵⢟⠀⠀