⠀⠀⠀⠀⠸⣄⡴⣫⣿⣍⣼⣿⣿⣿⡏⢠⣾⠟⠉⠉⠀⠀⠀⠈⢧⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢳⡄⠀⡿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠈⠛⠂⠀ ⠀⠀⠀⢀⣤⣿⣆⡇⣴⣟⣼⣿⡿⣿⠀⣸⠃⠀⠀⢀⣀⣀⣀⡀⠘⢿⣻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣴⣶⣴⠀⠀⠀⣻⡀⣹⣿⣿⣿⣿⢻⣿⣿⣷⣄⠀⠀⠀⠀⠈⢦ ⠀⣄⣀⣿⣿⣿⢛⣧⣿⣾⣿⣿⣿⠃⠀⠃⠀⢀⣴⣿⠿⢛⣛⡛⢷⡌⠻⣯⣿⣦⣀⠀⠀⠀⠀⠀⢀⣼⢟⣭⣭⡍⠻⣿⣿⣶⣄⡨⠃⢹⣿⣿⣿⣿⡼⣿⣿⠿⣿⣧⡀⠀⠀⠀⢘ ⠀⢹⣿⣿⠟⣿⠿⠿⠋⣿⣿⣿⣧⡄⠀⣤⣴⣾⠟⠁⠀⣿⣿⣿⢀⣈⡦⠀⠛⠻⢿⣿⣖⣶⡤⢶⣿⣵⣸⣿⣿⡿⣀⣼⣿⣟⠛⠃⠀⠀⢽⣿⣿⣿⣧⣻⣿⣗⣾⣿⣿⣷⣾⣿⣾ ⠀⢹⡿⢧⣰⡟⠀⣠⣾⣿⣿⣿⣿⠇⠀⠀⠁⠀⠰⠿⣶⢻⠿⠟⠉⠉⢀⠀⠀⠀⠀⠀⠈⠉⠉⣅⠀⠀⠉⣍⣹⣻⢻⣿⡟⠋⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⡾⣿⣌⢿⣿⣿⣿⣿⣿ ⠀⠈⣇⠀⣿⢀⣾⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠉⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⡿⡉⠉⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⣬⠐⣿⡯⣾⣿⠿⠋⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⣹⣿⣿⣿⣽⣿⢉⠋⢻ ⠀⠀⠘⣷⣿⣽⡿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢀⣴⠃⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⣰⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣶⣿ ⠀⠀⠂⡿⢃⠙⣷⣾⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣔⡼⠁⢼⣬⣬⠀⣨⠗⠶⣄⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣟⣠⠋⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠘⣧⢸⡄⠋⠏⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣆⣼⡿⣶⡜⢟⡩⣴⣭⣭⣷⣼⠋⢛⠀⢀⠄⠂⠀⠐⢦⡀⠀⢀⠠⢚⡾⠁⠀⠀⠀⣰⠟⣿⡿⠛⠻⠟⠛⠛⠻ ⠀⠀⠀⢻⡆⠻⣦⡀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡼⢮⣧⡙⠻⣯⣶⣿⠾⢋⣼⢧⠟⢈⡠⣲⠀⠀⠀⠀⠀⠉⠒⢮⢧⠊⠁⠀⠀⢀⣾⣯⠀⣿⣇⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢟⢦⡀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⣋⣉⠓⠊⠡⠴⠖⢉⢣⡏⢱⣾⠅⣳⣷⣦⡀⠀⠀⠀⢀⢀⣼⢤⣷⣦⣤⣾⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⡿⢦⣤⣤⠀⠀⠀⠀⠀⠀⠀⢀⡟⠋⠉⠉⠛⠉⠉⠉⠉⢳⡚⠓⠦⠿⣿⠀⠹⢬⡻⢽⡖⣴⡶⡥⠞⡜⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠛⠀⠀⠀⠀⠀⠀⠀⠉⠀⣠⣤⣀⣤⣀⣀⣠⣀⣰⡁⠀⣃⠀⣹⠁⠈⠊⢿⡗⣿⣟⠀⠀⢠⠇⣼⣿⣿⣿⣿⣟⡻⢿⣿⢿⡟⠛⠛⠛⠛⠛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠃⠀⠀⠀⠀⠀⠀⢠⡀⢀⣄⠀⡀⠀⢙⡉⠈⠉⠉⡽⠋⢉⡋⠙⣏⢠⠆⣔⡿⣼⣯⣿⣶⠆⣸⢀⣿⣿⣿⣽⣿⣿⣷⣿⣿⣜⣧⣀⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢢⠀⠀⠀⠀⠑⠀⡏⠓⠛⠒⣓⠧⠤⡤⣤⠵⡤⣴⣤⣠⡛⢝⡆⣿⣷⣋⣴⡿⣿⣄⢃⡾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠈⢣⡀⠰⣔⠀⢮⣳⡀⣴⡟⠻⢿⢻⡾⢶⣿⣷⣄⣾⢺⣿⣼⣷⢷⠻⣟⣉⡼⣣⢃⣾⠁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⠀⠀⠀⠀⠱⣄⠸⠀⢸⠈⡇⢏⢿⡄⡼⢿⡇⣸⠹⣸⠋⣎⠏⠿⠧⠊⢠⢴⣿⠏⢠⠏⣸⠏⠀⡙⣿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠛⠿⠿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠘⢦⠁⡘⣎⠚⠁⢸⢇⠸⣽⡋⢰⢿⢃⣰⢘⢀⣿⣿⠋⢠⣾⣾⠋⠀⡼⠁⠈⢷⣄⡀⠀⢀⣀⣀⣀⣀⡀⠀⠀⠀⠀ ⣤⣤⣤⣶⣶⣶⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠘⢆⣱⣈⢙⣲⠤⠤⠶⠟⢀⡞⠿⡏⢈⣠⠿⢛⣭⣶⠿⠋⠀⠀⣸⢁⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢬⣈⡙⢾⡴⢶⡚⢯⣴⣺⠴⠿⢛⣩⣴⣾⠿⠋⠀⠀⠀⠀⣰⠃⡟⠀⠀⠀⣀⣤⣼⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣯⡉⣿⣳⡷⣖⣾⣿⣿⣿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠃⠀⠁⣠⣴⣿⣿⣿⣿⣿⡿⠀⠀⠙⣮⣿⢿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣠⣶⣿⣿⣷⡀⠉⠉⠁⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣦⣤⣄⣀⡀⢙⡿⠤⣄
⢐⡀⠀⣠⠂⡠⡑⢋⠐⠘⡂⠘⡂⠀⡇⠔⣊⠘⢂⠓⢛⠡⣀⣄⣈⠰⢐⠀⠝⠂⠙⣂⢘⢠⢀⣍⠀⡰⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡠⣮⠠⠎⠀⡀⠷⢰⠚⠀⣁⡒⠊⡘⠀⢂⠂⡴⢦⡓⣆⠨⠜⡤⠍⠠⠄⠄⠄⠄⠕⠉⠰⡸⢣⣄⠁⠀⠛⢀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠉⠃⠈⢈⢀⠅⣀⠡⣀⠓⢃⢨⠭⠀⠀⠁⠀⠧⠡⡁⠈⠀⠀⠀⠔⠀⠂⡄⡠⢈⠀⡀⠤⠃⠄⠫⠤⠆⠀⠀⣀⡂⠠⠀⠀⠀⠀⠀⠀⠀ ⠀⠄⠡⣀⡄⠄⡈⡀⠠⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠢⡀⡀⠀⠀⠀⠄⠁⠡⠌⡂⠠⠡⠀⠢⠃⠄⠀⠈⠲⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⠀⣐⢀⠐⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠓⣄⣀⠅⠀⢐⠈⡠⠀⠉⣀⣐⡆⠊⡀⠀⢂⡁⠈⢂⠀⠀⠀⠀⠀⠀ ⠄⢄⣄⣄⣀⢀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣸⣻⣍⡍⣟⠛⡍⠙⡭⡑⠑⡰⠆⠀⠈⡄⠀⠀⠠⠀⠄⠀⠀⠀ ⠉⢩⠥⡽⡮⣮⡚⡿⣍⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣍⠜⣤⣯⡘⢦⡀⡉⢿⡀⡇⢀⠁⡰⠪⡂⠀⠀⠀⠂⠀⠀⠀⠄⠀⠀ ⢀⣻⡏⡭⣳⡇⡇⣹⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡢⡇⡍⢘⢼⣟⡆⠀⠹⡅⢸⠁⡇⠀⡄⠀⠴⠐⣈⡀⠂⠁⠀⠀⠂⠀⡁⠀ ⢈⣐⠇⢟⠆⡏⡇⠴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡒⡆⡃⢲⣜⡟⡇⠀⠀⡇⠸⠀⡇⢀⣁⠄⠤⣄⡉⠋⠀⠋⠀⠀⡀⠀⠂⠀ ⠊⣣⠥⣱⠦⡋⠇⢚⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣎⣇⡏⣽⢳⡯⡇⠀⠀⡇⢨⢨⠃⢈⡆⢑⠀⠆⠈⡆⡠⡀⠐⠀⠀⠀⡁⠀ ⠝⠈⢒⢒⣟⣧⣿⣚⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠗⠳⠼⣆⣀⠀⠀⠀⡆⠨⠋⠀⠊⠄⠈⠁⠂⡆⣒⢒⠄⠀⠂⠁⠀⠂⠀ ⡇⠀⠂⠅⡃⣭⠇⠀⡇⠀⠀⠀⢀⣠⣤⠄⠀⠀⠀⠀⠀⠀⠈⠁⠚⠒⠒⡒⡛⠚⠒⡇⢸⡄⠈⢀⠄⠀⢁⢁⣋⢈⡪⡐⡀⠊⢄⠅⠀⠀ ⠓⠂⠂⠚⠐⠑⠓⠉⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡆⠀⠀⡇⡐⠕⠈⠀⠀⠁⠂⢆⠘⡃⠐⣈⠀⠁⠁⠀⠀⠀ ⢲⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⣀⠀⣻⢜⠁⠀⣗⠀⠌⠄⠀⠄⠨⠈⠩⣆⡅⢡⡈⠀⠀⠁⠂⠀⠀ ⡇⠑⠄⠀⠄⠄⠄⠀⠀⠀⠀⣀⣁⣐⣀⣄⣀⡤⠀⠀⠀⠀⠀⠀⠬⣭⣩⣻⠟⠤⣴⠜⣀⡠⠁⠈⡄⡂⠤⣐⢁⡅⠌⡔⠀⢁⠀⠀⠀⠀ ⡧⣁⡀⠅⠀⠀⠀⠀⠀⠀⢸⣤⠀⠀⠀⢤⡼⠃⠐⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠠⣳⠅⠆⢨⠀⠀⢀⠃⡀⠠⢅⠇⠀⣆⠀⠁⠐⠁⠀⠀ ⡃⠁⠀⠂⠀⠀⠀⠀⠀⠀⠸⣻⠶⢲⡤⠷⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢸⠯⡁⣇⢪⠃⢐⠢⡁⢀⡭⠊⡓⠀⠁⠀⠀⠀⠀⠀⠀ ⠁⠀⠠⠂⠀⠀⠀⠈⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣐⢻⠋⠠⠀⣼⣉⠄⢀⡈⠄⠂⠅⠠⠧⡀⠑⠁⠄⠂⠀⠀⠀ ⡄⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡤⢂⡤⠓⠀⡒⠱⢈⣯⠀⠑⣔⣋⢀⢅⠔⣍⠆⢡⠄⠀⠀⠀⠀⠀ ⠙⠭⠅⠖⠦⠤⠤⠤⢄⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡠⠤⣐⠭⠤⠎⡩⢅⢰⡠⢫⠴⠱⢍⡃⠉⠂⠉⡐⠕⠆⠪⠉⠙⢌⠀⠀⠀⠀⠀ ⡗⠒⢐⠀⠀⡀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠐⡒⠙⠰⡓⣈⡇⠒⠐⢂⡁⣙⠡⠏⠀⢍⣂⠄⠰⠄⡈⣁⣡⡔⠂⢀⡂⠆⠀⡀⠀⠀ ⠕⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡡⣐⠪⠓⠂⢘⠑⠐⠂⡓⡀⡁⢣⠪⡓⠝⢢⠃⢀⡀⢀⠀⠈⠀⠎⠂⢈⠁⠀⠢⠀⠀⠀⠀ ⡧⠐⡠⠐⡀⡠⠂⣂⠐⠄⡖⠂⡄⢖⡗⡒⡪⠠⢀⣀⢩⣠⠀⠢⠷⠙⠌⠤⠍⡄⠌⠄⠘⡀⡉⡃⠅⠃⠂⠀⠂⠐⠄⠀⠀⠨⠀⠀⠀⠀ ⢮⠐⠀⠑⠅⠀⠀⠀⠀⠁⠁⠈⠐⠐⠀⠄⡅⠩⠀⡀⣄⡸⠀⠀⠀⠰⠀⢘⠈⠅⠀⠀⠁⠃⠀⡡⠀⡈⡁⠑⠅⠐⠄⠀⠈⠀⠀⠀⠀⠀ ⡨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠉⠈⠁⠐⠁⠋⢠⠨⠀⠀⠁⠀⡉⡀⠈⡃⠀⠠⢂⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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