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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⠀⠀⠀⠀⠀⠀⢀⡔⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠘⢿⡄⠚⢻⡆⢸⡟⠀⠀⢀⣀⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠷⣦⡀⠀⢸⣿⣾⡏⣠⣿⠃⠀⢸⡏⠀⡴⢀⣀⣀⠀⠀⠀ ⠀⠀⠑⠶⣤⣤⣴⣶⣤⣿⣿⣦⣾⣿⣿⣿⣿⣿⣤⣴⣿⣇⣾⡿⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣶⣤⣤⡤⠄ ⠐⠲⠶⠚⢉⣵⠿⡿⠛⣛⠛⠛⠡⢜⠏⢀⣛⠛⠛⠛⠛⢿⣿⣿⣿⣥⣄⣀⣀⡀ ⠀⠀⠀⢰⡏⠀⠠⠀⣿⡀⠀⢸⠀⠘⠀⣿⡄⠀⠀⠁⠀⠪⣿⣿⢿⣟⠟⠛⠋⠁ ⠀⠀⠀⢿⠀⠀⣀⣀⠛⠁⠀⢂⠔⡻⢆⠙⠃⠐⠒⣁⣠⠞⠋⡪⢃⠿⢷⡦⠀⠀ ⠀⠀⠀⠈⠔⢻⢁⡄⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⡠⠤⠐⡔⠈⠀⢺⡇⠀⠀ ⠀⠀⠀⠀⠀⠈⠇⣉⠐⠒⠶⣖⣒⣀⠰⠶⣶⠖⠒⠉⢀⡠⠔⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⢰⢤⢴⠂⠀⠈⠐⠠⢉⣓⣚⣂⢈⠤⠀⠒⢈⣠⣤⠠⠐⡄⠀⠀⠀⠀⠀ ⠀⠀⢱⡎⠸⣀⡑⠒⢢⡴⠂⠰⠒⢖⠘⠼⠿⡲⠈⠁⣾⣿⡖⢄⠰⣀⣀⠀⠀⠀ ⠀⠀⠀⠉⠉⠀⠈⠁⠻⠡⣄⢀⡆⢀⣉⡉⠒⠁⠀⣤⠄⠙⢀⢊⢀⣠⡴⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢼⣿⣟⣯⠅⠈⠀⠘⠢⢄⠀⠙⠈⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣂⠁⠈⠙⠋⢁⣀⣈⣀⣴⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣴⣿⣿⣯⣭⣿⣿⡿⠿⠛⢻⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣤⣤⡚⣻⡿⢿⣿⡿⢿⣿⣿⣿⣶⣿⣿⣿⣿⣿⣿⠿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣦⢿⠣⣹⣷⢀⠟⠉⠻⣿⠿⡿⠿⠛⢁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢿⣿⣿⣟⠘⣦⠺⠿⠃⠀⠀⠀⠀⢀⡦⣀⣇⣤⣦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠻⠿⠞⢸⣤⡀⠀⠀⠀⠀⠀⠠⡼⠇⠈⢋⣨⣴⡶⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠳⠶⠿⠛⠉⠀⠀⠀⠀⠀⠀
⠀⣀⣀⠔⢩⡧⠒⢒⣲⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⠀⢏⠀⠁⣀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⡕⠀⠀⠀⣇⡰⠒⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⣢⣄⣀⣀⠀ ⠀⠈⠓⢠⠤⢼⡦⠶⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⣀⡴⠋⠀⠀⠀⠀⠠⢬⡇ ⠀⠀⠀⠳⢄⡾⠃⠀⠈⠑⠦⣀⠀⢀⣀⣀⣀⣘⣧⣀⡏⣀⡀⠤⢄⡀⠀⠢⣀⢹ ⠀⠀⠀⠀⡰⠗⣲⠯⡽⠛⠙⠟⠛⠛⠣⠤⣀⠀⢀⣼⠛⢢⠀⠀⠀⠈⢦⠀⡸⠁ ⠀⠀⢠⠞⣘⡶⢄⠋⠁⠀⡠⠀⠀⠀⠀⠀⠀⠁⠈⢿⠊⠁⠀⠀⠀⠀⠀⠉⠀⠀ ⠀⠀⠘⣶⣎⠀⠀⠑⠠⣼⠁⠀⠀⣀⠠⣤⣠⢠⡀⢸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⡴⠋⠉⠉⠐⠤⠤⠿⠂⢹⠉⠁⠀⢀⣸⣿⣜⣷⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠖⠒⠒⠒⠛⠛⢋⣉⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢈⠫⣕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠶⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢖⡉⠆⠼⡳⠒⠤⣶⣶⡤⠤⠤⠄⠒⢊⣁⠴⠊⠀⠀⡤⣤⣤⣤⣤⣀⠀⠀⠀⠀ ⠀⡭⠬⣁⡠⢴⠶⠗⣿⠛⡿⢍⠉⠉⠁⠀⠀⠀⠀⢰⡇⢸⡏⠩⠍⣿⠀⠀⠀⠀ ⠀⢧⣌⣀⣤⡜⠦⠇⢠⠐⣤⡤⡗⠀⠀⠀⠀⠀⠀⠈⢳⣾⣇⣀⣈⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠁⠀⠀⠀⠉⠈⠲⢷⢶⠒⠒⠒⢄⠀⠀⢸⡇⣿⠉⠉⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⣠⡄⠀⠀⠀⠀⠀⠐⠉⠈⠀⠀⠀⡜⠀⠀⡾⣧⣿⣀⣂⣼⡇⠀⠀⠀ ⠀⢀⡔⠉⠀⠑⠂⠀⠀⠀⠀⠀⠀⠀⠀⣠⣊⠀⠀⠀⡇⢁⡿⢋⠹⣿⠀⠀⠀⠀ ⠀⣎⣀⡠⠶⠤⢤⠤⢀⡤⠤⠤⠐⠲⠭⢤⣤⡹⣦⡤⣹⣾⠧⣴⣤⡿⢶⣦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢣⣀⠱⡀⠀⠀⠀⠀⠀⠀⠙⠪⢴⠁⣠⣾⡓⡏⢰⠆⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢳⣖⡿⡀⠀⠀⠀⠀⠀⠀⠀⢸⠻⣿⡿⠶⢿⡦⠴⠿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⠂⠀⡾⠀⠀⠀⠀⠀⠀⠀⢼⡘⢿⠖⠂⢼⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠤⣮⣤⣤⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠶⠶⠾⠃⠀⠀⠀⠀
⋆˚🐾˖°🦴𓃥𓃠
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⠀⠀⠀⠀⠀⠀⢀⣤⠶⢛⣿⢇⣀⣤⣤⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⢴⣦⣰⠏⠀⢠⣿⠿⠛⠉⠁⢀⣠⣴⠾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⡇⠀⣿⡏⠀⠀⠚⠁⠀⠀⣠⡶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⡏⠀⠹⣇⠀⠀⠀⠀⣄⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡘⢆⠀⠀⠀⠀⠀⠀⣿⠃⠀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢷⣄⠈⠀⠀⠀⠀⠀⢿⣄⡾⠋⠀⠀⠙⣳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠛⢉⣁⣬⠭⠿⠷⠶⠶⢤⣄⡀⠀ ⠀⠀⠀⠉⠳⢦⣤⣀⣀⣀⣈⣿⣴⣤⣴⠶⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⢀⣴⠞⠁⠐⠈⠉⠀⠀⣀⣀⣀⣀⣀⣀⠉⢷⡄ ⠀⠀⠀⠀⠀⠀⣠⠿⠛⠉⠋⣿⡏⠉⠛⠻⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠞⠋⠹⣧⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣿⡇ ⠀⠀⠀⠀⠀⠈⢻⣦⡀⠀⣼⣿⡿⠓⠀⠀⠀⠈⠙⠿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣧⡀⠀⠄⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢦⣀⠀⠀⠈⣿ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⢻⣿⠏⠀⠀⠀⠀⣀⣀⣀⣀⡈⠙⢷⣦⣀⣀⣠⣤⣤⣴⣶⡶⠶⠶⠶⠶⠾⣿⣷⣾⣏⣠⣤⠶⠞⠛⠛⠛⠛⠿⣤⣀⠀⠀⠀⠉⢷⣤⣀⡿ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣶⠾⠛⣛⣛⣿⣿⡟⠛⠛⠻⣿⣿⣿⣿⣿⣿⣯⣤⣄⣀⠀⠀⠀⠀⠀⠀⢀⣽⣿⠻⢶⣄⠀⠀⠀⠀⠀⠀⠈⠻⣦⡄⠀⠀⠀⣿⠏⠁ ⠀⠀⠀⠀⠀⠀⠀⣠⡿⣛⠁⠀⠴⠟⢋⣩⣵⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢶⣄⡀⠀⢦⣾⣿⠀⠀⣠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⣠⣴⠋⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⢯⡀⢻⣟⣷⣤⠰⠟⠉⠀⠀⠀⠀⢀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠈⣿⣿⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⢇⡈⠳⡾⠛⠁⠈⠳⣄⠀⠀⠀⠀⢠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣮⣿⣿⡇⠀⠀⠀⠀⠈⠛⢦⣄⣀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⣀⠀⣄⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⣼⣿⣿⣧⡀⠀⠀⠀⠀⢀⣤⣌⡟⠻⣤⣄⣀⣠⣤⠴⠖⠚⠋⠉⠻⣿⣾⣋⠀⣿⣶⡄⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⡾⠛⠉⠉⠉⠉⠉⠙⠲⢤⣀⣀⣠⣿⣿⠗⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣟⣫⣸⡇⣼⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠁⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠐⠿⢣⣿⣭⣿⣟⣸⣿⠿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠷⠖⠒⠛⠛⠓⠲⠿⠛⠛⠛⠛⠉⢑⡇⢸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠹⣷⡄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⠘⣷⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡟⡡⢤⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣿⣷⡀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣀⣠⣿⡀⠨⡛⣷⢦⣀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠟⠁⠈⣁⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢾⡙⠠⠴⠧⢀⣼⡯⠉⣪⠙⠲⢦⣬⣛⣻⡷⠶⠶⣦⣤⣤⣤⣤⡴⠶⠾⠛⠋⠁⠀⣀⣤⡾⠟⠃⠀⠀⠀⢠⣤⣴⣶⣶⣶⣶⣤⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⢷⡦⠄⢤⡴⠒⠋⠁⠀⠀⣀⣀⡿⢹⣿⣿⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⢸⡏⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣧⠠⢼⡇⢀⣀⣤⠶⢻⡿⢹⢷⠏⣹⣿⠛⠛⣷⢦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⡆⢠⣼⣿⠀⠀⠀⠀⣀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣾⠀⠀⢸⠟⠉⢹⡄⠀⣿⣇⠃⢸⢠⠛⡇⠀⠀⡌⠀⠈⠙⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⢸⣿⣿⠀⢀⣀⣀⣼⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⣤⣔⠁⣀⣀⣸⣧⣾⠸⣿⣤⡷⠂⠀⣧⠘⠛⢦⣤⣤⠞⣻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣾⣿⣿⣀⣀⣀⣀⣀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠉⠉⠉⠉⠉⢸⡇⠀⠀⠀⠀⠀⠀⠹⣦⡴⠋⢳⣅⣠⣟⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠙⣿⣿⡿⠿⠿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⡿⣿⢻⣿⠉⠉⠉⠉⠙⠻⢶⡄⠀⠀⠀⠀⠀⣿⣿⠀⣿⣿⠀⠠⠄⠀⣽⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠟⠠⠟⠀⠀⠀⠀⠀⠀⢨⣿⠀⠀⠀⠀⠀⣿⣿⠀⣿⣿⠀⢀⣀⠀⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⢰⣿⣿⣿⣶⣿⣿⣀⣀⣉⣀⣴⣿⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⠞⠉⠙⢿⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀⢸⣿⠀⠟⠻⣿⣿⣿⠿⢿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣏⡀⠀⠀⠀⠀⠀⢸⣿⡆⠀⢸⣿⡟⠀⢠⠀⢹⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠟⠁⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠔⠻⣅⠼⠋⠛⠳⣦⣄⠀⠀⠈⢿⣧⣀⣿⡿⠀⠀⠉⠀⠀⣿⣿⣄⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⣿⣀⣈⣁⣤⡴⠿⠛⠛⠛⠶⣶⡶⢤⠤⢤⣴⡶⠶⠾⠛⠛⠛⠛⠛⠛⠻⠶⢦⣶⣏⣱⡄⢸⣛⢻⡿⢶⣤⣽⡿⡿⠷⢤⣾⣿⣶⣶⣿⡿⢿⣿⣿⣶⡀⠀⠀⠀ ⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠘⣷⡃⠰⡏⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⣦⣬⠿⢍⣐⡟⠃⠁⠀⢀⣼⣿⡅⣿⠟⠁⣠⣄⠘⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣀⣉⡉⢻⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠶⣾⠀⠀⣠⣴⡿⣿⡏⠋⣿⠀⢸⣿⡟⠀⢸⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣆⣸⡦⡟⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⣿⣿⣮⣥⣀⣿⣦⣀⠀⢀⣠⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣽⣄⣸⠿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⢹⣿⣿⣿⠿⠿⠿⢿⣿⣿⠟⠛⠿⠛⠛⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡥⠄⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⣸⣿⣿⣀⣠⡄⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⠟⠀⠀⢀⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣿⣦⡈⢹⡿⠋⠁⠀⠴⠿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⣠⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣷⣤⣤⣤⣤⣤⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⡿⣿⣿⣿⣿⣿⣿⣿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠒⠋⠉⠙⠓⠢⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠺⢒⠂⠀⠀⠀⠠⠤⣌⠣⢤⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠤⡼⠁⡠⠊⠀⠉⠆⠀⡰⠂⠐⠪⡀⠀⢹⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠁⠀⠀⡇⠀⠾⠀⡈⠀⡁⢀⣄⠀⢡⠀⠈⠷⣦⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⠱⠀⠀⠘⠂⠤⢺⠚⠀⠱⣀⠁⠀⡘⠀⠀⢼⠀⣸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⡄⠰⣄⡀⠀⠀⠈⠉⠀⠀⠀⠉⠁⠀⠀⠜⠀⡟⠁⠀⠀⠀ ⠀⠀⠀⠰⣛⠕⠔⠆⠈⠢⣘⢿⣿⣶⣶⣤⣤⣤⣤⣤⣤⡶⠋⡠⠞⠁⠀⠀⠀⠀ ⠀⠀⠀⠈⠶⠤⠄⠑⠠⡀⠈⠳⢌⣛⠛⠿⠿⠿⢛⣛⡥⠔⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠢⢀⣼⣟⣷⣶⣮⣿⠃⢰⣯⣍⣀⢀⣀⠀⠀⠀⠀⠠⠄⢀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠒⠒⠒⠒⠁⠄⣛⡁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⣿⡿⣿⣿⣿⡋⠙⠇⠒⠂⠀⠉⠁⠘⠇⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⡭⡝⠿⡿⠿⠿⢿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡶⠗⠀⠀⢀⣀⠠⣾⣻⣿⣷⣷⣷⣖⣒⣠⣽⣚⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠐⠈⠀⠀⠀⢹⢿⣿⣿⣿⣿⣿⣿⣿⣿⣍⣿⣿⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⠐⠒⠒⠒⠀⠐⠒⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⡿⣿⣿⣇⠉⠁⠍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⠟⠉⡆⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣎⣄⠄⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⣴⣾⣿⣿⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⣉⣩⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣼⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⣾⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢠⣾⣿⣿⠉⣿⣿⣿⣿⣿⡄⠀⢀⣠⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⣿⣿⣧⣿⣿⣿⣿⣿⡇⢠⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣷⠸⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠘⠿⢿⣿⣿⣿⣿⡄⠙⠻⠿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡟⣩⣝⢿⠀⠀⣠⣶⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣷⡝⣿⣦⣠⣾⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣮⢻⣿⠟⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠻⠿⠻⣿⣿⣿⣿⣦⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⠇⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⠀⠀⠀⢀⣴⣿⣿⣿⣿⣟⣋⣁⣀⣀⠀ ⠀⠀⠀⠀⠀⠀⠹⣿⣿⠇⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇
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