⠀⠀⠀⠀⠀⠀⡐⠠⠒⢌⠲⣉⠶⣩⠞⣜⢳⣚⣬⣓⢎⢧⢳⡹⣎⢷⣛⢾⡹⣞⣧⢻⡜⢶⡱⢂⠖⡰⢂⠆⡰⢀⠆⣀⠀⠀⠀⠀⠀⠘⣯⡛⣿⣿⠿⣿⠏⣠⠙⡆⠻⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⡈⢂⠱⡐⢪⠔⡹⡌⢧⠳⡜⣜⠺⣌⠧⣓⢎⣳⠹⣎⠿⣱⠞⣯⡹⢧⣙⢣⢋⡔⡃⢎⠱⡈⠔⡠⠌⠀⠀⠀⠀⠀⠹⣼⡈⡟⢲⠋⢠⡇⠀⢈⢡⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠂⠀⠁⠈⠀⠄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡐⠈⢆⢊⠱⣉⢎⠳⣙⢬⡓⣎⠳⣍⢞⣱⠻⣜⢯⣳⢻⡵⢫⡳⣍⡎⢧⡘⡑⢎⡰⢁⠎⡰⢀⠀⠌⠀⠀⠀⠀⢸⠿⢠⡿⣄⠘⣧⣄⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⢀⠀⠈⠀⠂⠁⢀⠂ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠌⢢⠑⡌⠳⣌⠲⣍⢲⢩⠒⡜⢦⡛⣜⠮⡵⣋⢞⡧⢻⠴⡩⢖⡡⢍⡒⢄⠣⠜⡠⢃⠄⠈⠄⠀⠀⠀⠈⣷⣿⢆⡉⢻⡜⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠈⠀⢀⠈⠀⡐⠈⢀⠀ ⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠠⠈⠔⢡⠘⡒⢌⠲⣉⠞⡘⢦⡙⡜⡸⣅⢫⡜⡜⢣⡋⡕⢎⡔⢣⡘⢄⡃⠚⡄⢣⠈⠀⠌⠀⠀⠀⠀⢹⠿⢮⡭⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠐⠈⠀⡀⠁⠀⠄⠂⠀ ⠀⠠⠀⠀⡐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠡⠈⠌⡱⢈⡜⠱⢢⠱⢌⡱⢌⠣⢆⡙⠦⢱⠘⡢⢌⠣⡘⠤⡘⡡⠜⡠⢃⡐⠀⠁⠀⠀⠀⠈⣧⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠁⠀⠂⠀⠄⠀⡁⠠⠀⠁ ⠀⡐⠀⡁⠀⠠⠀⠠⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠄⠈⠑⢢⢉⠦⣑⢫⡕⢪⠰⣁⠆⢣⠐⡊⠔⡡⠒⡡⢂⠱⡐⠤⠐⡈⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠀⡀⠁⠀⠂⠀⠄⠂⠁ ⠀⡐⠠⠐⠈⢀⠐⠀⠄⠂⠀⠈⢀⠐⠀⠀⡀⠀⠀⠀⠀⠀⠀⠁⠈⠄⢨⠐⡌⠦⡍⣇⢃⠆⡘⠠⡑⢈⢂⠡⢁⠂⡁⢂⠐⠠⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠐⠀⢀⠀⠁⡐⠀⠄⠂⠀ ⠀⠄⢂⠈⡐⠠⢀⠈⢀⠀⢁⠀⠂⠀⠀⠄⠀⢀⠀⡀⠀⠀⠀⡀⢀⣀⢀⠈⠀⠓⠘⠤⢋⠤⠑⡐⠠⢁⠂⡐⠠⠁⡐⠠⠈⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠠⠀⢀⠁⠀⠄⠀⠂⠁ ⠀⠐⠀⠂⠐⠠⢀⠈⠀⠄⠂⠀⠄⠁⡀⠂⠈⢀⠀⠄⠀⠄⠡⠐⠠⢈⠡⢩⠳⠶⣤⡀⠌⠠⢡⠀⠡⠀⠄⢀⠐⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠄⠀⠠⠈⠀⠌⠀⠄ ⠀⠀⠀⠀⠁⠀⠀⠂⠁⢀⠂⠁⡀⠄⠀⠄⡁⠂⠌⡠⢁⠀⠂⠁⠂⠠⠀⠅⢫⠙⡶⣹⠲⡄⡀⠈⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠈⠀⠄⠁⡀⠂⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠠⢀⠁⠂⠄⡑⢂⠁⢆⡘⠄⢢⣀⠀⠀⠀⠀⠀⠀⠈⠁⠑⠡⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠀⠁⠠⠀⠂⢀⠠⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠐⠠⠐⠠⠈⠄⠒⡈⢄⡠⢉⡓⠶⢤⣀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠐⠀⡀⠠⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠡⠈⠄⠁⠢⠐⡡⢌⠙⠂⠍⠟⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠠⠀⠀⠀⠄ ⠀⣀⠀⣄⢠⠠⡄⢤⡤⣤⣤⢤⣤⣤⣠⣄⣀⡀⣀⠀⡀⣀⢈⡀⢀⠁⠀⠐⠀⠀⠈⠀⠀⠡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⠐⠀⠀⠈⠀⠀ ⠐⡤⣉⠤⣃⠳⡜⢦⢳⡳⣞⣻⣞⣷⣿⢿⣿⣭⣯⣽⣿⣿⣿⢿⣏⡓⠦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠐⠀ ⢨⠰⣄⠳⣌⢳⣙⢮⡗⡿⣭⢷⣯⢿⣾⡿⣿⣻⡿⣟⣿⣹⣾⣻⣭⠻⣄⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠧⣐⠣⢎⡱⢎⡳⣝⡳⡽⢾⡽⣞⠷⡽⣞⢷⡻⣝⢮⡗⣧⠻⣌⠳⡌⠄⠀⠀⠈⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣈⠒⠬⡑⢎⡱⢋⡵⢪⠵⣫⢳⡝⡾⣹⠝⣎⢳⡙⢮⠱⢎⡱⢋⡜⡱⢌⡒⢄⡀⠀⠁⠀⠂⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠤⣉⢒⡉⢦⡑⢫⠜⡣⢝⢢⠳⡸⣑⢣⠹⡌⢣⠜⡡⢋⠆⡑⠣⢌⡱⠌⡔⢢⠘⢄⠠⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⢄⠊⡴⢡⠘⡡⢎⡑⢊⠆⠣⡑⠌⠢⢑⠈⢆⠘⠠⠡⠘⡀⠣⠐⠠⠃⠜⡀⢊⠄⢂⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠁⢎⡘⢄⠢⢉⠰⠀⠌⡐⢈⠡⠐⠈⡁⠂⡁⠂⠌⠠⠁⠂⠄⠁⠌⠠⠁⠂⠄⡁⢈⠀⠄⠂⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⡄⠐⡈⠐⡀⠂⠉⠀⠠⠀⠀⠂⠁⠀⠐⠀⠀⠂⠀⠐⠀⠀⠈⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀