Kirbo Emojis & Text

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣟⠳⢬⡱⢊⡎⢎⡳⠴⣙⢤⣋⠴⣋⠴⣋⠴⣃⠞⣬⢚⢬⢲⣉⠶⣉⠞⣌⡓⢦⡱⢊⣳⣵⣿⣜⡦⣙⠦⣉⢏⠿⢿⢟⠣⢎⢣⠜⣣⣾⣾⣿⣿⣿⡿⢫⠕⡦⣙⠦⡛⣤⠓⣜⢣⡱⢎⡱⢎⡙⢦⡙⢦⡹⢌⡓⢦⡙⡖⣍⢎⠞⣡⠏⡴⢿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⢠⣿⣿⣿⣿⠿⣌⡹⢢⡕⢫⡜⡱⡜⢥⢋⡖⢬⢓⡬⢓⡬⢓⡬⢓⠦⡍⡖⢣⡜⢪⢥⢋⢦⡙⢦⣵⣿⣿⣿⣿⣿⣿⣿⣾⣷⣾⣿⣾⣾⣿⣾⣿⣿⣿⣿⣿⡿⣛⢣⠕⣫⠜⡱⣌⢇⢳⢂⡟⡌⠶⣑⠮⣱⢊⡝⣢⠝⣢⠕⡫⡜⣱⠪⣜⢒⠮⣙⠦⣙⠦⣃⢿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠂⠐⠀ ⠀⠀⠀⠂⢀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⢏⡳⡰⢣⡓⡜⣣⠜⣱⢊⢇⠧⣊⠧⡚⢴⢋⡴⢋⡴⢋⡼⡘⣥⠳⣘⠇⣮⢩⠦⣙⠲⠿⣟⢫⠓⡬⢛⡻⠿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣟⠻⡱⢜⡢⣍⠞⡴⣩⢓⠬⢎⡣⢞⡰⣍⠳⣌⡓⢦⠍⣖⡱⢎⡱⢎⠵⡱⣊⠵⣊⠮⣑⠧⣚⢥⡚⢥⠚⢾⣿⣿⣿⣿⣧⠀⠀⠀⠄⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⣿⣿⣿⣿⣏⠲⢥⡓⣣⠹⡔⣣⡙⢦⡙⢎⡼⡑⣎⢝⡸⡌⠶⣉⠶⣉⠶⣉⢦⡙⣆⡛⣤⠓⣎⡱⣍⠳⣌⠶⣙⠲⣍⠲⣍⠲⡔⣒⢲⢒⡒⡖⣢⢍⡳⢌⡣⣕⠣⣕⣊⠞⡴⡑⢮⡙⢦⢣⢓⡼⣐⢫⠴⣉⠞⣜⢢⡕⢮⠱⢎⣣⠓⣥⠳⣌⠳⣉⠶⡱⢢⡝⣪⢙⠦⢻⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⢯⠦⣙⢆⠧⡱⢣⡙⣤⢋⠶⣉⢞⡰⢍⡖⢪⡱⢜⣣⣙⠲⣉⠶⣉⢦⢓⡬⢜⣢⠛⣤⠳⣌⢳⣘⠲⣉⠳⣌⠳⣌⠧⣙⢬⢃⢮⡱⢎⡱⣊⠶⣉⠶⡡⢏⡴⢊⡞⠴⣙⠦⣙⠦⣋⠖⢦⡙⢦⡹⣘⡚⢬⠲⣜⢪⡙⠦⣅⣛⡤⢳⡌⣳⠩⢖⣩⠣⡜⣆⢫⡜⢥⢻⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⡀ ⠐⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡟⣬⠲⣍⡚⡬⢓⡥⢫⢔⡋⢶⡉⠶⣉⠶⣘⢣⡕⠮⣔⠪⢵⣉⠶⣉⢦⢋⡴⢣⢲⡙⢆⡳⡘⡖⢬⠓⣍⠳⣌⢳⠸⣌⠧⣊⠭⣆⠳⣌⢳⣘⠲⣉⠶⣙⢲⢸⡑⣎⠳⣡⠞⣡⠞⣡⠞⣱⢪⢱⢒⡥⣙⠎⡵⢊⡖⣍⠳⣼⣿⣾⡡⢞⡰⠹⣌⣶⣿⣵⣊⡕⣺⢌⢻⣿⣿⣿⣿⣧⠀⠀⠀⠀⠐⠀⠁⠀ ⠀⠀⠀⢀⠀⠀⠀⢸⣿⣿⣿⡿⡍⣆⠳⡜⢬⡱⢋⡴⢋⢦⡙⢦⢍⡳⣼⣧⡍⠶⣘⢇⠎⣝⢢⠞⡰⡍⢦⢋⡴⢋⢦⡙⣎⡱⡱⢍⡎⡝⡬⢓⡬⢣⠝⣤⠓⣭⠲⣡⠏⡴⢣⠜⣣⠍⡶⣉⠖⣣⢚⡔⣫⠔⣋⢦⡙⢦⡙⡆⠧⣍⠶⡑⣎⡙⠶⣉⠶⡌⢧⣹⣿⣿⣷⢎⡶⣉⣷⣿⣿⡿⡽⢰⣃⠮⣉⢿⣿⣿⣿⣿⡀⠀⠀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⠷⣑⠎⡵⢊⠧⡜⢣⢎⡝⡢⢝⡘⢦⣽⣿⣿⠺⣱⡉⢮⠜⣜⣾⣿⡕⣎⢣⡍⠶⣩⠲⣱⠢⢇⡝⣢⠝⣰⠹⡜⣰⢋⡜⢆⡛⣤⠳⣡⠞⣡⠏⡜⣆⡛⢴⣉⢮⡑⡎⢖⡱⢎⡕⢎⡼⢡⠞⣡⢛⡤⡓⣍⢦⠹⣡⢏⢲⡙⢦⢩⢛⣿⣿⣷⣾⣵⣿⣿⣿⢳⢡⠳⣌⢣⡍⢞⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⡟⣇⢣⠞⣡⠏⣎⠵⣋⠖⡼⢡⢏⠼⣩⣿⣿⣧⢓⠲⡙⢦⣿⣿⣿⣿⢹⠰⣣⠜⣣⠕⣣⠥⡛⣬⠲⣑⠮⢥⡓⢭⢒⡭⢜⠪⣕⢢⡝⢢⡝⢢⡝⠼⣰⠩⣖⠸⣂⢧⡙⢎⡲⢍⡜⢎⡴⢋⡼⡑⠮⢴⡙⡴⢊⡇⢧⠪⡕⢎⡣⢇⡭⢱⢻⣿⣿⣿⣿⠿⡍⢦⢋⡵⢊⡵⢌⠧⣿⣿⣿⣿⣿⠀⠀⠀⠀⠠⠀⠄ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢳⢌⡓⢮⡑⡞⣌⠶⡱⢪⠕⡫⢜⢺⢰⣿⣿⣷⣯⣵⣽⣿⣿⣿⠻⣌⢣⡝⡤⣛⢤⠛⣤⠳⣉⢦⠓⣍⡚⢦⢹⡘⢎⡴⢋⡵⢊⠶⣘⢣⡜⢣⡜⠳⣌⠳⣌⠳⣉⢦⡙⣎⡱⢎⡜⢎⡴⢋⡴⡩⡝⢢⡓⡜⣣⠜⣣⠹⣌⢇⢳⢪⠜⣱⢊⡕⢫⢏⠣⣝⢸⣡⠫⣔⠫⣔⡋⡖⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠐⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⣿⡟⣣⢎⡙⣆⠳⡜⢢⡓⣍⢣⡝⣱⠩⣎⡱⢍⠿⢿⡿⣿⠿⡟⢯⠜⡱⡌⢧⠜⣲⢡⠎⣝⡰⡹⢌⠶⡙⢦⢹⡘⢦⡙⢎⡴⢋⡴⢋⡼⢡⢇⢺⡡⢞⡱⢪⢕⡪⠵⣉⢦⠓⡦⡱⢎⡜⢎⡴⢋⡴⢣⢍⡳⢌⡳⢌⡣⢇⠽⡰⢎⢣⢎⡝⣢⠭⡜⢣⢎⡳⢌⡇⠖⡭⡒⡝⣤⠳⣉⢿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠂⠁⣾⣿⣿⣿⢗⣡⠎⡵⢊⡵⢩⡓⢼⠨⣇⡜⢆⡛⣤⠓⣎⢓⠮⡔⣣⢹⡘⢦⢫⡑⡎⢧⠚⡥⢎⡙⢦⡱⢃⣏⢲⠹⣘⠦⣙⠦⣙⢎⡴⢋⡴⢋⡴⢋⡜⣆⢓⡎⣱⢣⢚⠴⣋⡜⢦⠛⡴⡙⢦⢹⢸⠰⣋⠴⣋⠦⣃⢏⡴⢋⡴⢋⡼⡑⣎⢣⠎⣖⢱⢪⢱⢋⢦⢃⡏⡜⢭⡒⡝⠼⣠⢛⡤⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⣿⣿⢮⢰⢋⡜⣣⠜⣣⠜⡣⣝⠰⢎⡣⢝⡤⢛⡌⢮⡱⢎⡱⢦⡙⢦⢣⡙⡼⢌⣋⠶⣉⢞⡡⢞⡡⢎⢎⡵⢣⡙⢦⡹⢌⠶⣘⢣⡜⢣⡜⢣⡚⣌⠮⡜⣡⢎⡣⡝⣔⡚⣬⢙⢦⡙⢎⡱⢎⡣⣍⠶⣡⠳⣉⠶⣘⢣⡜⢣⠖⣍⢲⡩⢚⡌⡞⡌⢧⢚⡌⠧⡜⡜⣣⠜⣜⠣⡕⠮⡔⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠂ ⠀⠀⠀⠀⢸⣿⣿⣿⡟⢦⠹⣘⠼⣐⠏⡴⢋⡵⢌⡫⢖⡩⠖⣜⢣⢚⡥⢚⢆⡳⢦⡙⢦⣃⠳⣌⠳⣌⠶⣉⢦⡙⢦⡙⣎⠼⡰⢣⡙⡆⣇⢫⠲⣍⠲⡜⡣⣜⠣⡕⢎⡖⡍⣖⢪⡱⢜⡢⡕⢎⡜⢦⡙⢎⡱⢎⡱⡜⢲⣡⠳⣉⠶⣉⠶⣘⢣⠞⡌⢧⠜⡣⠞⣬⠱⣋⠼⣌⠳⣉⠶⣑⠺⣌⢳⢩⠞⣬⢩⣿⣿⣿⣿⣿⠀⠀⠀⠀⠁⠀ ⠀⠀⠀⠀⢺⣿⣿⣿⣏⠧⣙⠬⣓⠬⣋⠼⡱⢜⢪⠱⢎⡱⢋⢦⢋⠶⣘⠭⢲⠱⢦⡙⠖⡬⣓⠬⢳⡘⢖⡩⢦⡙⢦⢓⡬⢚⢥⢣⠓⣍⠦⣋⠵⣊⠵⢣⡕⢪⠵⡩⢖⠼⣘⠴⣃⠞⡜⡴⢩⡚⡜⢦⡙⢎⠵⣊⡕⢎⡣⢖⡹⣘⠲⣍⠲⡍⡖⣩⠞⣡⠞⣱⠹⢤⠛⣔⢣⠎⢧⡙⢦⢍⡳⡘⢎⡖⣩⢆⢣⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢻⣿⣿⣿⡏⡞⣌⠳⣌⠧⣙⠲⡍⣎⢣⠏⣎⡱⢋⢦⢋⡼⢌⡳⣉⢳⢊⡼⡙⡴⢣⡍⣳⢘⡣⡕⢎⡱⢎⢎⡲⢍⡎⠶⣙⢬⢲⢩⠖⣩⢚⢥⡚⡱⢎⡱⡍⢮⡑⡞⣌⠳⣜⡸⢅⡳⢜⡡⢞⡩⢖⡱⡌⢧⡱⢎⡱⢎⡕⡪⡕⢣⡹⡰⢍⡖⣙⢆⡛⣬⢙⠦⣍⢺⡡⢞⡡⢞⡰⣙⢎⡴⢣⡚⢬⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⡧⣹⠰⣋⠴⣙⠬⣓⡜⠦⣍⠺⡔⣩⢍⠶⣉⠶⣉⢖⡩⢖⣩⢒⡍⡖⣣⠜⢦⡙⡴⢩⠎⡕⣎⠎⡕⢮⢸⡱⢩⢆⠧⣋⠼⡑⣎⠦⡓⣍⠎⡕⢮⡑⢞⡸⢔⡫⠴⣡⠏⡴⢋⡼⣘⠲⣍⠲⡍⡖⡱⢎⡱⢎⡜⡱⡜⢣⡕⢭⡒⢭⠜⣢⠝⣤⢋⠶⣌⢣⠞⡬⡱⢣⡱⢃⡎⠶⣡⢋⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀⠐⠀ ⠀⠀⠀⠀⣸⣿⣿⣿⣧⢃⠧⡍⢞⡌⣓⠶⣘⢣⠎⡵⢊⡵⢊⡎⠵⣊⠵⣊⠵⣊⢦⠹⣰⠹⢤⠛⢦⡙⡴⢋⡼⢱⡘⡎⣝⢢⡓⡜⢣⡚⣬⠱⢣⡝⢤⠳⣉⠶⡙⡜⢦⡙⢎⡲⢍⡲⢹⠤⡛⣌⡓⢦⣙⠲⡅⣏⠲⡍⡵⢊⡵⢪⢜⡱⢎⢣⡜⢦⡙⢎⡚⢥⡚⡴⢩⠖⣬⠣⢞⣡⢓⡣⡕⢫⠜⣣⠕⣣⢾⣿⣿⣿⣿⡏⠀⠀⠀⠁⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣧⣋⠼⣘⢣⡜⢥⡚⣌⠧⣚⠥⡫⣔⠫⡜⢣⡍⠶⣉⠶⣉⠶⡙⢦⡙⣎⡹⢆⣙⠲⣍⢲⢣⡱⢍⠦⣓⢬⡙⡥⢓⡆⢯⡑⢮⢱⡙⡜⡲⣙⠬⡓⡜⣣⠱⢎⡱⢣⢣⡝⡰⡍⠶⡌⣇⠳⣌⢇⡳⢜⢣⠎⡵⢊⡖⢭⠲⡜⣡⠞⣡⢛⡔⣣⠹⣌⠳⣂⠟⣢⢕⡪⣑⢎⢇⡛⣤⠛⣤⣻⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣿⣿⣿⡜⢬⡃⢧⡜⢦⠹⡤⢳⡡⢞⡱⡌⢧⡙⣥⠚⣥⢋⡖⡍⠶⡙⢦⠹⢤⡓⢮⢸⡑⢮⠱⢦⡙⡬⣓⢜⡢⡝⢬⢓⡬⣃⠞⣥⢚⢬⡱⡱⢣⡹⢜⡡⢇⡫⢎⡱⡍⠶⣘⡕⢪⢇⡵⢊⡵⢪⠜⡆⣏⢲⡙⣬⠓⣬⠣⢧⡙⡴⡙⢦⢍⡲⡅⢯⡰⣋⠼⣸⠡⡞⡰⡍⢎⡎⡜⡆⠯⣔⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⢢⠝⡲⠜⡬⢓⡥⢳⠸⢥⠲⣙⠦⣙⢤⠛⣤⠳⡸⢜⢣⠝⣪⡙⢦⡙⢦⠓⡼⡡⢏⡲⢩⠖⣥⢚⠴⡩⢞⢢⡕⢎⡵⢢⢋⢦⠣⣕⠣⠞⣬⠱⢎⡱⣃⠳⡜⢣⢣⡜⢣⢎⠲⣍⠲⣍⡚⢼⠰⣃⢞⡰⡙⢦⡙⢦⠹⠴⣙⢬⠲⣑⠮⡱⡒⣍⠶⡡⢏⢲⡱⢍⡺⢔⡭⢜⠳⣾⣿⣿⣿⣿⠃⠀⠀⠀⠀⠠⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣷⡹⢌⠽⣘⢥⡚⢥⢛⣌⠳⣑⠮⣑⠮⣙⢤⢫⠱⢎⡣⢞⡡⢞⡡⢞⣡⠛⡴⡙⠦⣍⣓⠺⣄⠏⣎⠵⣊⠧⡜⣪⢔⠫⡜⢆⡛⣔⢫⢹⡐⢏⡎⠵⣌⠳⣉⠧⣃⠞⣱⢊⡳⢌⡳⣘⢬⣃⡛⢬⠲⡱⡙⢦⡙⢎⣣⠛⣌⠶⡙⣆⠳⡱⢍⠦⡓⣍⠮⣑⠮⣑⠺⢬⢜⣊⢷⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠁⠈⠀ ⠀⠀⠀⠐⠀⠀⠀⢻⣿⣿⣿⣷⣍⢚⡬⡒⣍⠞⡬⡒⡝⢬⡚⢥⡚⢥⢎⢣⡝⢪⡱⢎⡱⢎⡱⢣⣌⢛⡴⢩⣓⠲⣌⠳⣌⠞⣬⠲⣉⠶⣉⢖⣊⢧⡙⢎⡱⢎⡬⣃⢞⡡⢞⡱⣊⠵⡩⢖⣩⢚⠥⣣⠹⣌⡕⢎⢦⡱⢊⢧⡙⣥⡙⢦⡙⣎⠴⣋⡜⡲⢍⡲⡍⡵⢊⢧⠹⡤⢛⢬⢲⢩⡹⢌⢶⣬⣿⣿⣿⣿⡿⠁⠀⠀⠀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣷⣇⡖⡹⢤⠛⡴⡙⣬⠓⣬⢃⡞⠥⣎⢣⡜⢣⡜⢎⡱⢎⡱⢣⡜⢪⡔⣣⠎⡵⢊⡵⢪⠜⢦⡹⢌⡣⣍⠶⡘⢦⡙⡎⢵⠪⣔⢣⠎⡵⣊⠵⡌⢧⡙⢦⢃⣎⠳⣌⠳⢢⠞⣩⢆⢳⡩⢦⡙⣤⡙⢦⢓⡬⢲⡱⢌⡇⢧⡱⢚⡬⡙⢦⠛⣔⠫⢆⠧⡓⣌⡓⣮⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢿⣿⣿⣿⣯⣳⡊⠽⣰⢙⡤⢛⡤⢳⡘⢇⠮⣱⡘⣣⠜⣎⡱⢎⡱⣃⠞⣥⠚⡴⣙⠲⣍⠲⣍⢺⢡⢎⢣⡕⢎⡲⡙⣆⢳⠩⡖⡹⢤⢣⠛⣔⠣⢞⡩⢖⡩⢖⡩⢆⢏⡲⢍⡓⢮⡑⡎⡖⡱⢦⡙⣤⡙⢦⢋⡴⢃⡞⣡⠞⣢⠓⣍⢲⡙⢦⠛⣬⠙⢮⠱⡍⢦⣹⣿⣿⣿⣿⡿⠁⠀⢀⠀⠀⠀⠀⠀⠂⠐⠀ ⠁⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠹⣿⣿⣿⣿⣾⣳⢌⢎⠖⣍⢲⢣⡙⢎⡵⢂⡳⢥⡚⡴⣡⠏⡴⣉⠞⣤⠛⣔⠣⣝⡰⢋⡴⢋⢦⢋⠶⡌⢧⡱⢍⠦⣋⠵⣊⠵⢣⡍⢞⢬⡙⢦⡙⢦⠹⣌⠵⣊⢞⡰⣋⠼⣡⠞⡱⡜⡱⢦⡙⣤⠹⣌⢣⢎⠳⢬⡑⢮⣡⠛⣬⠒⣭⠲⡹⢤⢛⣌⠳⣼⣿⣿⣿⣿⣿⡟⠁⠀⠀⠈⠀⠀⠀⠀⠀⠁⠈⠀ ⠀⠀⠀⠁⢀⠀⠀⠀⠀⠰⠀⠀⠈⠿⣿⣿⣿⣿⣿⡸⡎⣈⠷⣆⠹⡎⣰⠏⣰⠇⡾⢱⢆⡹⢶⠉⡾⣀⠿⡈⢷⢆⡉⢷⣈⠹⡆⡏⢶⡉⡶⢱⡎⢇⡹⢆⡹⢸⣁⠾⡉⣆⠹⣆⢹⡈⢷⡈⣎⢱⠎⣱⡈⠷⣆⠹⡶⢉⡱⣆⢹⢰⡉⡶⢉⡎⡹⢆⡹⠶⣆⠿⣀⠿⣀⢷⠉⡎⣶⣈⣹⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠉⠻⣿⣿⣿⣿⣷⣯⣲⢌⡳⢡⠇⡞⣡⠞⣡⢓⢎⡲⢍⠞⡱⡌⢧⠹⣌⠶⡩⢖⠬⣣⢓⠼⣡⠞⣡⠳⣌⠳⣌⠧⡱⢣⡜⠲⣍⠲⣍⠲⢣⡙⢦⠹⡤⢋⢮⠱⡜⠳⣌⠳⡜⢣⡕⢪⡕⢪⡱⢎⠳⢬⣑⠫⣔⢫⢔⡣⣍⠶⣉⠶⡙⢼⣦⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣿⣿⣿⣷⣯⣗⡮⣑⢣⠞⣡⠞⣌⠶⣩⠚⣥⠹⣌⠳⡜⢲⡙⡬⢓⡆⢏⡚⡴⡙⣆⠳⣌⢳⣘⠲⣍⢣⡜⠳⣌⠳⣌⢫⡅⢯⣘⠣⣕⢋⠶⣉⢞⡱⢪⠕⡎⠧⣜⠣⣜⢣⡱⢎⡹⢆⡭⢚⡔⣋⠦⣓⢬⠲⡱⣮⣽⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠐⠀⠂ ⠂⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠐⠀⠀⠂⠀⠈⠛⠿⣿⣿⣿⣿⣿⣷⣭⣎⡵⣊⡜⡲⣡⢛⢤⡋⢖⡭⢜⢣⡜⡱⢣⢚⡥⡹⠔⣭⠒⣝⡰⣃⢮⢱⡊⡵⣘⠳⣌⠳⣌⢣⡜⡥⢎⠳⢬⣙⠲⣉⠦⣍⡓⢮⣉⠷⣈⠷⣘⢆⠧⣹⠰⣋⠴⣋⠴⣃⠞⣤⣧⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠂⠁⠀⠀⠀⠀⠀⠀⠂⠐⠀ ⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⣿⣿⣿⣿⣿⣿⣷⣾⣕⣣⢚⠦⡙⣎⠴⣋⠖⣜⡱⡍⠶⣘⠥⣛⠤⣛⢤⠳⡜⣢⢇⡣⡕⢎⡳⢌⡳⢌⠧⡜⡲⢭⡙⠶⣨⢓⣍⠺⣄⡛⣤⠓⣎⠵⣊⡕⢪⢎⠥⡓⣍⣲⣥⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⠟⠉⠀⠀⠀⠀⠂⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀ ⠀⠀⠂⠐⠀⠂⠀⠀⠀⠀⠐⠈⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣾⣽⣴⣳⠬⣙⠦⡱⢎⠳⣉⠞⡔⢫⡔⢎⠳⢬⡑⠮⢴⡙⡜⣢⠏⡴⢋⡜⡲⢍⡲⢩⠞⣡⠞⡰⢫⠔⡳⢌⡳⠜⡬⣑⣎⣷⣬⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠋⠉⠀⠀⠐⡀⠀⠀⠀⠁⠂⠐⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠀⠀⠀⠄⠀⠂⠀⠀⠀⠄⠀⠙⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣶⣷⣮⣵⣧⣚⣼⣱⣌⢫⡱⢃⡞⡩⢖⡩⢖⡱⢎⡱⢋⠼⡡⢏⡜⢣⡙⢦⣍⣳⣱⣮⣵⣾⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠠⠐⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠈⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠉⠛⠛⠛⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠉⠁⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠠⠐⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀ ⠀⠀⠀⠂⠁⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢼⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠉⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠿⠿⠿⠟⠃⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠄⠀⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⢀⠀⠈⠀⠈⡀⠀⠀⠀⠀⠁⠈⠈⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⢀⠀⠀⠀⡀⠀⠁⠀⢀⠀⠀⠀⠀⠀⠁⠀⠁⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠈⠀ ⠀⠀⠀⠁⡀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠄⠀⠀⠠⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠄⠀⠠⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⡀⠄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠂⠐⠀

⠰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠠⣍⠩⣉⣽⣿⣍⣽⣿⣿⣭⣽⣭⣿⣿⣿⣿⣿⣯⣽⣿⣿⣿⣿⣿⣯⣩⣿⣯⡉⢉⣌⣿⣿⣿⠏⠻⣿⣿⣿⣿⣿⢿ ⠐⡢⡑⠸⣿⣿⣿⣿⣿⣿⢻⣿⣿⣿⣿⣻⣿⣯⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣧⣄⡻⢿⡟⠛⣧⣄ ⢀⡓⢌⡁⢻⣿⣿⣯⣿⡏⠘⣿⣾⣿⣿⣻⣿⣟⣿⡿⣿⣷⣿⣿⣯⣿⣻⣿⣿⣿⣿⡿⣿⣿⣿⣽⣿⣷⡈⢻⣷⣿⣿ ⠀⢎⠰⢌⠸⣿⣿⣿⣞⣿⣆⣻⣽⢿⣿⣽⢿⣿⣻⣷⣿⣯⣿⣿⡿⣽⣿⣿⢾⣿⣿⣁⣿⣷⣿⡿⢿⠿⢷⣤⣻⣿⣿ ⠘⡘⡄⡛⠠⣿⣟⣿⣿⣼⢿⣿⣿⣟⣿⣼⣿⡿⣧⣿⣿⣼⣿⣟⣿⣿⣿⣟⣿⣿⣿⢿⣿⣧⣿⣿⠀⠠⢀⠀⠛⣿⣿ ⢀⡓⠤⡑⢣⢸⣿⣻⣯⠹⣿⣾⣿⢿⣿⣿⣿⣷⣿⣿⣿⣽⣿⣿⣿⣧⣼⣿⣿⠋⢻⣯⣟⣿⣾⣿⠁⢀⠂⠠⢀⠀⣿ ⠠⠜⣠⣥⣽⠂⣿⣿⢿⣿⣾⣿⣻⣿⢿⣿⣿⣽⣿⣿⣯⣿⡷⣿⣛⣯⣿⣿⣿⣿⣦⣽⣿⣿⣿⣥⡀⠢⠜⡀⢀⠀⣿ ⠄⢣⢸⣿⣿⣧⡘⣿⣿⡿⣯⣿⣿⣟⣿⣿⣷⣯⣿⣻⣷⣿⣻⣽⣿⣟⣾⣷⣿⣽⣿⣟⣿⡿⣾⣟⣿⣼⣧⣤⡐⢀⣿ ⠀⠐⣸⣿⣻⣽⣷⣿⣻⣿⣟⣿⠛⣿⣾⡇⢸⣯⣿⣿⣷⣿⠿⢿⣿⣽⡿⣿⢷⣿⣻⣾⣿⣿⣻⣿⣿⢿⣻⣿⠿⢸⣿ ⠀⡔⢻⣿⣽⡿⢷⣿⡿⠾⠟⠁⠐⠤⣉⠴⠣⠌⡉⠔⠠⠁⠖⠌⡙⠟⣃⠘⠻⢷⠟⠿⣷⣿⣿⣿⣟⣿⣿⡟⠀⣾⣿ ⢀⠓⠄⠛⣿⠗⣀⢡⠀⡄⠠⠄⢂⣡⣦⠶⠗⠛⠛⠛⠛⠛⠛⠲⠶⣤⣈⣭⠞⠛⢾⡀⠀⡀⠽⣿⣾⣽⣿⢡⣼⣿⣿ ⠈⠁⠈⠈⠉⢳⣤⣤⡑⠈⣡⠾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠃⢄⠀⠈⣧⠀⢀⡿⣵⢦⡿⠁⣼⡏⠉⠈ ⠀⠀⠁⠠⠐⠀⠀⣉⣽⠟⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⠀⠸⣳⡄⠀⠁⠢⣽⡀⢢⣟⣾⠏⠀⣼⣏⡀⠀⠀ ⠰⠊⣱⣶⠖⠒⠚⠛⠣⠤⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡀⠈⠻⠀⢄⡀⠘⢧⣿⠞⢁⣤⣾⣿⣿⣳⢶⡽ ⠀⣰⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⢀⡸⢁⣾⣿⣿⣿⣿⣿⡿⣏⣿ ⠀⣸⢿⡎⢼⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣧⣴⢿⣺⣿⣿⡿⣿⢿⣿⢿⡝⡏⠚ ⢠⠏⣼⢻⡀⠎⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠿⠟⢋⣡⣶⣿⣿⢟⣾⠃⠉⠛⠼⣏⢿⣁⠀ ⡟⢠⡇⠀⠙⣆⠉⠜⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠷⢲⠾⣟⣡⣴⣿⢧⡟⠁⠀⠀⠀⢞⣽⣳⣯⢷ ⠃⢸⡷⡩⢿⡇⠙⣦⡀⠘⡡⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠳⣶⡈⠓⠒⠛⢛⣛⣛⣾⣧⣀⡠⣤⣺⡼⣟⣿⣿ ⠄⠸⢧⡑⠘⣷⠈⡔⢻⢓⡡⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣿⡿⠿⣿⣟⣶⢬⡙⢷⣯⣷⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠘⡆⠐⠀⠎⠴⡡⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢶⡉⢻⣷⣿⣆⠽⣿⣯⣀⣿⠛ ⢤⡩⠔⠚⠶⢤⣽⣄⠈⠀⠣⡑⢣⢂⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢬⣿⣿⣿⣿⣷⡘⣿⣿⣷⣤ ⢀⠠⠈⡁⠠⠀⠀⣹⣦⡀⠀⠁⠎⡘⢲⡀⢆⡀⡀⢀⠀⠀⠀⠀⠀⠀⠀⡀⢠⠐⢈⣴⡿⣿⣻⢯⢿⣿⣟⡌⣿⣿⣿ ⡤⢄⡠⢀⠤⢠⣰⡿⣽⢳⣦⡀⠀⠀⠡⠘⠠⠓⡜⠢⢎⠲⡡⢎⠒⡡⠓⠈⣀⣴⣟⠯⡽⣷⣻⣟⣾⣟⠭⣚⡼⣿⣿ ⡔⢣⡜⢣⡎⣥⣿⣽⢳⢻⡞⣿⢳⣤⠀⠀⠀⠁⠀⠁⠂⠂⠁⠀⠁⠀⣤⣾⠋⣽⢸⡗⣯⣿⣿⠛⠛⠊⣥⠛⣽⣿⣽ ⡔⣣⠜⡢⠜⡴⣿⣣⡟⣮⣱⢫⢟⣻⣿⣷⣶⣤⣦⣤⣤⣴⠴⡶⣛⢛⡽⣘⣎⡵⢫⣼⡿⠋⠀⠀⠀⠀⠀⠀⠡⢿⣿ ⡔⢦⡜⡴⣃⢦⡙⣷⣻⣖⣧⣿⠾⡟⢻⠾⢷⠿⡞⡛⣍⠣⡙⠴⣩⠚⡜⠳⣈⣞⣿⣿⠁⡦⠄⠀⠀⠀⠀⠀⠀⢚⣿ ⠄⣦⣴⠶⠧⠶⠷⠦⠾⠿⠷⠶⠶⠶⠶⢦⡇⢚⡱⠋⠜⠣⠉⠧⠱⠾⠜⠷⠻⢽⣻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿ ⠹⣇⠸⠻⠿⠰⠶⢿⢶⡶⠖⠶⠾⠷⣶⢈⣿⡤⢵⠀⠀⠀⠀⠀⠠⠄⠶⢲⣲⡿⠛⠛⣷⣄⡀⠀⠀⠀⠀⢀⣰⣿⣿ ⣰⣞⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣧⣰⣂⣂⣀⣀⣀⣠⣤⣶⣶⣾⣃⠀⠀⣀⣈⣾⣽⣷⣶⣿⣷⣿⣿⣿⣿

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⢻⣿⣿⣿⣿⣿⠀⣾⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡌⠛⠻⠿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠃⠀⠸⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⡀⢠⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣈⠁⢹⣿⣿⣿⣀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⣀⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠁⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀ ⣿⡄⠀⢻⣿⣿⣿⣦⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⣀⣠⡀⠀⠀⠀⠀⣸⣿⣧⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣿⣿⡿⣿⣿⣿⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⡆⠀ ⣯⠀⠀⠀⠙⢻⣿⣿⣿⣷⣤⣀⣀⣀⣤⣤⠀⣀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠻⠿⣿⣿⣿⣿⣶⣶⣾⣿⣿⣶⣶⣶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣛⠁⠀ ⣿⠟⠀⠀⠀⠀⠀⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣿⣿⣧⣸⣿⣿⣿⣿⣿⡄⠀⣙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⣤⣤⣤⣄⢀⣀⣀⡀⠀⣀⡀⠀⠀⠀⠀⠀⢀⣿⡀⠀ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⢉⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⡇⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⢻⣿⣿⣿⣿⣿⣿⠿⠟⠉⣉⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣄⡀⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣿⣿⣿⣿⣿⡏⠻⢿⡿⠿⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⣛ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣿⣿⠃⠀⠀⠀⠘⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣾⣿⣿⣿⣶⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠿⣿⣿⣿⣿⣿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⣶⣿⣿⣿⡿⠟⠁⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⣿⣿⣿⣿⡿⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣇⠀⠀⠀⢰⣿⣿⣿⣿⣿⣷⣶⣾⣿⣧⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⢿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⠿⠿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣿⣷⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⣿⣿⣶⡀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣾⣿⣿⣿⣿⣿⣿⣿⡟⠛⠀⢠⣤⣴⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡈⠿⣿⣿⣷⣤⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣯⡉⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⣤⣶⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣷⣶⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⡆⠀⠀⠀⢻⣿⣿⣿⣶⣦⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣤⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣆⠀⠀⠀⠀⢀⣴⣿⣿⣟⣾⣿⣿⡏⢈⣉⠉⠉⠉⠀⠀⠀⠀⣾⣿⣿⡟⠋⣿⣿⣿⣷⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⣤⠛⢿⣿⣿⣿⣿⡍⠛⠛⢸⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡄⢸⡇⣠⣾⣿⣿⣭⣿⣿⣿⣿⠇⠈⠏⠀⠀⠀⠀⠀⠀⠀⠻⢿⡿⠁⠀⠀⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡟⢾⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣼⣿⣿⣿⣿⡿⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠿⠟⠛⠛⠛⠛⠛⠛⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠟⠋⠁⠀⠀⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⠏⠀⠀⠀⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣷⣄⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣦⠀⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣛⡛⠛⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠿⣿⣿⣿⣿⣷⣦⣼⣿⣿⣯⣹⣿⣿⣿⣿⣿⣿⣿⣷⣦⣤⣤⣤⣀⣀⣀⠀⣰⣿⣿⠀⠀⠀⢰⣿⣿⣤⣤⣤⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣿⡿⣿⣿⣿⣿⠿ ⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣷⣶ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢿⣿⣿⣿⣿⣿⣿⣿⣷⡄⠀⠀⠈⠉⠛⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⣷⣴⣿⣿⣿⡿⠿⠻⠟⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⡿⠟⠀⠀⠀⠀⠀⣶⣶⡶⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣷⠀⠀⢠⣄⣠⣿⣿⣿⣿⣿⣿⣿⡿⠋⠛⠛⠋⠉⠛⠻⢿⣿⣿⣿⣿⣿⣿⣷⣶ ⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⠿⠋⠀⠀⠀⠀⠀⠰⠿⠿⠛⠀⠀⠸⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⣿⠀⠀⠿⣿⣿⠿⠿⠿⠿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠿⠿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣷⣶⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣶⣶⣶⣶⣤⣤⣤⣶⣾⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣶⣾⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠀⠿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⣋⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣷⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠋⠁⠺⠂⠙⠃⠘⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⢿⡙⣯⠀⢠⣤⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⢀⡔⠒⢦⠀⠄⢒⠉⠉⡃⠠⠀⢄⡠⡀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⠠⠀⠄⣀⣾ ⠠⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠹⠀⠀⡜⠆⡈⡇⢠⡴⡇⠠⢡⣍⠀⢹⡈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⣁⣦⣾⣿ ⠀⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠔⠣⣈⢰⠐⢀⠡⡆⠀⠇⠒⠂⣽⠀⣸⠀⠜⣸⠀⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⢈⣤⣥⣾⣾⣿⣟⣿⢾ ⠀⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⢸⠂⠀⢃⢸⠰⠀⠀⢳⡀⠂⠀⠑⣋⢠⣥⠀⣘⢻⠀⠌⠠⠁⠌⠠⠁⠌⠠⠁⠌⠠⠁⠌⠠⠁⠌⠠⠁⠌⠠⠁⠌⠠⠁⠌⠠⠁⠌⠠⠁⠌⠠⠁⠌⠠⠁⠌⡐⣼⣿⣟⣯⣷⢿⣾⣻⣿ ⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⢈⠐⢠⠘⡉⢿⠸⡔⠀⢸⣸⣷⠀⠀⡈⡏⣠⠀⠀⠈⢺⠂⡈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⡁⣢⣾⣿⣻⣾⢿⣽⣿⣳⣿⣻ ⠀⠌⠠⠁⠌⠠⠁⠌⠠⠁⠌⠠⠁⠌⠠⠁⠌⠠⠁⠌⠠⠁⠌⡐⠠⢈⠘⠂⠹⠜⡆⢧⠀⠈⡄⣯⠆⠀⠃⣥⠁⠀⢠⡞⡽⢀⠐⡈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⣡⣬⣴⣷⣾⣤⣥⣈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⢄⣡⣶⣾⣿⣟⣷⡿⣽⣿⣳⣯⣿⣳⣿ ⠠⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⡁⢂⠐⡀⠂⣌⡄⠀⢰⠘⡾⠐⠂⠉⠁⠈⠈⠁⡉⠁⠀⠀⠅⡇⡀⢂⠐⠈⠄⢡⠨⢤⣁⣌⣤⣷⣿⡿⣯⣿⣽⣯⢿⣻⡿⣷⣦⣅⣈⠄⠡⣈⣄⣡⣬⣴⣿⡿⣿⣻⡷⣿⢾⣯⣿⣟⣾⣟⣷⡿⣽⣻ ⠀⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⣁⣲⣿⡿⣿⣿⡿⣿⣗⠀⠂⠁⠀⠀⠀⠀⢀⢐⠤⠋⠀⢀⡀⠀⡘⡅⠐⠠⢈⡰⠊⠁⠀⢀⣼⣿⣟⣯⣷⣿⣻⡷⣿⢾⣿⣻⣽⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣻⡷⣿⣻⣷⢿⣻⣯⣷⢿⡾⣟⣾⣯⢿⣟⣿ ⠀⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⢈⣴⣾⡿⣯⣿⣟⣾⢿⣽⣿⠄⠀⠀⠀⠀⡀⢔⠊⠅⣀⠄⠎⠁⠀⠲⢄⠳⡾⠟⠋⠀⢀⢔⣷⣿⢿⣳⣿⣻⣾⢷⣟⣿⣽⣿⣳⡿⣯⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣟⣷⣿⣻⣯⣷⢿⣻⣟⣿⣽⣾⣿⣿⣿ ⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⠡⠈⠄⢡⣨⣶⣿⡿⣯⣿⣟⣾⣽⣯⣿⣻⣾⡄⠀⠀⠀⠁⢀⠤⠓⠈⡠⠀⠀⠀⢀⠤⠔⠙⠁⠀⠀⠀⢂⣿⡿⣽⡿⣯⣷⡿⣽⣿⣻⣾⣟⣾⢿⣽⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣻⣾⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠌⠠⠁⠌⠠⢁⣮⣤⣥⣾⣶⣿⣿⣿⢿⣻⣽⡿⣽⣾⢯⣿⣾⣷⣻⣽⡿⣆⠀⠀⠀⠐⠁⠀⠀⡔⠈⠃⠀⠀⠀⠀⠀⠀⠀⢆⠀⣡⣾⣿⣟⣿⣽⣟⣷⡿⣟⣾⣯⣷⢿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢠⠈⡄⢡⠈⠐⣾⣿⡟⣿⣽⣯⣷⣿⣽⣿⢻⣷⣿⢻⣽⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⣴⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⢸⢱⣿⣿⣿⣿⣿⣾⣿⣯⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢂⠐⠠⢈⣰⣿⣯⢿⡿⣽⣯⣿⢾⡿⣽⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠄⠁⡈⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠉⠈⠙⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛ ⠀⠂⠌⣰⣾⡿⣯⣿⣻⣟⣯⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢀⠤⠂⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣿⣿⣿⣿⣿⠿⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠀⠀ ⣶⣷⡿⣟⣯⣿⣟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⡿⠟⠋⠁⠀⠄⢀⠈⠉⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀ ⣿⣯⢿⣟⣿⡾⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠛⠙⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠫⡀⠀⠉⠀⠂⢄⠁⡐⠀⠄⠀⡀⠇⠸⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀ ⣿⣽⣿⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢄⠀⠀⠀⠀⠠⡀⠐⠈⢀⠀⡇⠀⠀⠀⠀⠀⢸⠆⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀ ⣿⣷⣻⡷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣧⣤⣤⡾⠀⠀⠀⠀⠀⢀⡶⠓⢦⡀⠀⠀⠀⠈⠡⠀⠀⠀⠀⠀⠐⠁⡀⠄⡇⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀ ⣿⡾⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⣾⠀⠀⠀⡇⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠠⠀⡇⠈⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⢿⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠒⢂⡐⠒⡂⢤⠀⠀⠀⠀⣾⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⣸⣿⣤⣀⣼⠁⠀⠀⠀⠀⠀⠀⢂⠀⠀⠀⠀⠀⠀⠀⡇⠠⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢆⡰⠡⢘⡀⡺⠀⠀⠀⠹⣿⣿⠟⠋⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⢸⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠿⠛⠛⠋⠉⠈⠉⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⠀⠀⢀⣀⠂⡇⢤⠀⠀⠠⠀⠸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⠔⢶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣤⣄⣀⠀⠀⠀⠀⠸⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠯⠔⠫⡍⠁⠀⣀⡀⢠⢀⢀⡠⢼⠁⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⡿⠟⠉⠀⢐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⢿⡿⣿⣿⣿⣶⣄⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡚⠁⢀⣚⠄⠀⠰⠔⠆⠛⠉⠉⠀⠀⢘⠀⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠿⠟⠛⠁⠀⡄⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠟⣌⢣⡙⠶⣫⢿⣿⣿⡆⠀⠀⠀⠀⢀⠩⠌⡑⢠⡀⠀⣰⠁⠀⠀⡒⢄⣋⠠⢊⡉⢈⡛⡄⣀⣀⣀⢀⡀⠏⠀⠀⡀⣀⠀⢀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⣿⡇⠀⠀⢠⡀⠀⠁⠉⠀⠉⢱⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢤⠣⡜⡡⢇⡟⡶⠋⠀⠀⠀⠀⠀⠘⢄⠃⡜⢠⠘⡌⠁⠀⠀⠀⢈⡳⠂⡗⣥⠆⠠⢂⠃⡐⠄⣀⠀⡔⣀⡀⠂⡀⢀⠬⢺⠀⠄⠀ ⠀⠀⠀⠀⠀⡏⠀⠀⠀⣿⡇⠀⠀⠀⠈⡢⢀⠀⠀⠀⣨⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠘⠷⠋⠈⠁⠀⠀⠀⠀⠀⠀⠀⠈⠈⠖⡠⠎⠀⠀⠀⠀⢀⡼⢐⡲⢀⠤⢔⢂⡩⠃⢸⠆⠁⠀⠀⠀⠚⠁⠤⠀⢀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⣇⠀⠀⠀⢺⡇⠀⠀⠀⠀⡇⢰⠒⠒⠲⢲⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⡀⡄⠒⠐⣈⡴⠋⠀⠀⢣⡀⠴⠆⡸⡁⠎⠀⢋⣨⠦⠁⢀⡤⢺⡔⠂⢀⠈⣤⠂⠐⠢⠠⠄⢻⠀⠀⠀ ⠀⠀⠀⠀⠀⡧⠀⠀⠀⢠⡇⠀⠀⠀⠀⡇⢸⠀⡐⠄⠁⠃⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠀⣙⠃⢬⡄⣠⠶⠋⠀⠀⠀⠀⠀⠸⠿⠆⡑⠈⢛⠻⢣⡹⠀⣐⡬⠃⠄⡇⠣⠄⢀⣀⠈⢈⠇⠀⠀⢠⠀⠂⠀ ⠀⠀⠀⠀⠀⡇⢠⠀⠀⠐⡇⠀⠀⠀⠀⡇⢸⠀⠈⠀⠀⠰⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠂⡬⠖⠋⠁⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠤⠔⠃⠘⡦⠀⣹⣰⢢⠡⡀⠘⡇⠀⡀⠀⠸⠀⠀⠀⠀⠀⠠⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⡇⠀⠀⠀⡄⡇⢸⠀⠁⠀⠀⠀⠡⠀⠂⠄⠀⠀⠂⠀⠀⢁⠈⠠⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣁⢀⠠⣈⠁⠔⠉⢉⣘⢆⡌⡜⡱⠓⠒⠁⠀⢘⠀⠀⠀⠀⠀⢰⠀⡃⠀ ⠀⠀⠀⠀⠀⡇⢀⠀⠀⠠⡇⠀⠀⠀⡇⡇⢸⠀⠌⠀⣀⠀⠀⠩⡂⠠⠈⡂⢈⠑⠑⢄⠑⠄⠀⢄⠀⠈⠀⠀⠀⠀⠀⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⣀⡔⣡⡂⡁⠼⠀⣀⠦⢊⠩⡐⠑⠆⠎⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⢸⠀⡅⠀ ⠀⠀⠀⠀⠀⡇⠠⠀⠀⠀⡇⠀⠀⠀⡇⡇⢸⠀⠂⠄⢀⠀⠀⠀⠐⢄⠢⢌⠀⢀⠐⠠⡑⢄⠁⠀⠐⠄⠀⠀⠀⠀⠀⠀⠳⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢓⢄⠊⢉⠌⡀⡛⠅⠀⠀⠀⠢⢔⠮⠀⣰⢸⠀⠀⠀⡇⠀⠀⠠⠀⠀⠀⠀⠀⢸⠀⡁⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠈⡇⠀⠀⠀⡇⡇⢸⠀⢂⠀⠂⠠⠈⠀⠂⡸⠃⠤⣔⢠⡑⠄⠀⠂⠑⢄⠀⠈⢄⠀⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠋⠀⠂⠉⠑⠤⣀⠀⠀⠉⠑⠄⢰⠣⢌⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠠⣧⡄⠀⠀⡇⡇⢸⢀⣿⡇⠀⡁⠠⢁⣴⡇⠀⡜⠌⢂⢌⢄⠀⢀⠀⠀⡐⠀⠄⠂⠀⠀⠀⠀⠀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠣⡄⠀⡈⠄⠓⣼⠏⠀⠀⠀⠂⠀⠀⠘⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠠⡿⡇⠀⠀⡇⡇⢸⢸⣿⣿⠀⠀⠠⣸⣿⡇⢀⠻⢘⠄⠀⠸⡄⡀⠃⠀⠀⠠⠄⡠⠀⡀⠀⡀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⢃⣸⡇⡇⠀⠀⠀⠀⠃⠀⠀⢸⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠆⠀⠀⢐⡧⡇⠀⠀⡇⡇⢸⣿⣿⣿⠀⢈⢀⣿⣿⡇⣀⠁⠦⠁⢃⠑⠈⠈⡐⠠⣀⠀⣀⡀⠐⠁⠢⢀⠘⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⡾⢀⣠⣾⣿⣿⣷⡇⠀⠀⠀⠀⡃⠀⠀⠠⠀⠀⠀⠀⠀⢈⠀⠀⠀ ⠀⠀⠀⠀⠀⠄⢃⠀⠀⢸⣇⠇⠀⠀⡇⡇⢸⣿⣿⣿⡆⢀⣾⣿⣿⡇⢄⣨⠣⠙⢝⠀⠀⠀⠈⠀⢀⠈⠁⠀⠚⠀⢶⢔⣤⣤⣌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡊⡠⠋⣀⠤⣴⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⡅⠀⠀⠐⠀⠀⠀⠀⠀⢰⠀⡇⠀ ⠀⠀⠀⠀⠀⠀⣌⠀⠀⠈⠧⡃⠀⠀⡇⡇⢸⣿⣿⣿⣷⣾⣿⣿⣿⣧⠸⠹⢇⠈⢺⠀⠀⠀⠀⠀⠀⠁⠒⢀⠑⢄⠀⠀⢸⣿⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⢕⠕⣀⣤⣶⣷⣐⣿⣿⣿⣿⣿⣿⣿⡇⢀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⡃⠀ ⠀⠀⠀⠀⠀⡇⡖⠀⠀⠀⠀⠇⠀⠀⡇⡇⢸⣿⣿⣿⣿⣿⣿⣿⣿⣟⠀⢐⣺⢀⠚⠀⠀⠀⠀⠀⠀⠀⠈⠀⠁⠢⠁⡨⢚⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⢔⡴⠑⣥⣺⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⢐⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⣴⣶⣦⡁⠀ ⠀⠀⠀⠀⠀⠇⡇⠀⠀⠀⠀⡃⠀⢠⣷⣷⣼⣿⣿⣿⣿⣿⣿⣿⣿⣧⢠⠨⡎⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠈⡄⢨⣿⣿⡀⠀⠀⠀⠀⠀⡠⠀⠔⠁⢡⠈⡠⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⡁⢀⣠⣼⣶⠀⠀⢸⣿⢯⣿⢧⠀ ⠀⠀⠀⠀⠀⠀⢏⠀⠀⠀⠀⡅⢠⣿⢿⣽⡿⣿⣿⣿⣿⣳⣿⣿⣿⣷⢸⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⠀⠠⢘⣿⣽⣇⠀⠀⠀⠀⠉⢀⠀⠀⠂⠁⣂⣴⣿⣿⣿⣿⣿⢿⣽⣿⣿⣿⡽⣿⣿⣿⣿⣿⣽⣧⠀⠀⣄⣾⡿⣟⣿⣶⣤⣿⢯⣿⢯⣿⣷ ⠀⢂⠀⠀⠀⠀⣼⣿⣿⣄⠀⡆⣼⡿⣯⣷⡿⡿⠉⢉⢻⣿⣞⣿⣿⣧⠈⢸⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⢰⢿⠒⠁⢀⠀⡄⢽⡿⠻⣦⢄⢀⣘⢁⠲⡄⣈⣤⣿⡿⣿⢿⣿⣿⢿⣽⣿⣳⡟⠉⠺⣿⣟⣿⣿⣿⣳⣯⢿⣷⣄⣿⡿⣽⡿⣯⣟⣿⢯⣿⢯⣿⠷⠉ ⠐⡀⠂⠌⠠⢀⠻⣿⡽⡿⠆⢀⠀⢹⣿⣳⡿⠁⡐⠠⠈⣿⣯⣿⢾⣻⣧⡜⠞⠀⣥⢷⠀⠀⠀⡄⠆⠀⠸⢢⠁⠊⠀⠄⣄⡠⡇⠠⠘⢿⠊⠉⡉⠋⢿⡿⣟⠿⠉⠙⢿⣯⡿⣯⠷⣟⡿⠃⢀⠂⣿⣻⢯⣿⣞⡟⠁⡀⢹⣿⡷⠛⠻⣽⡿⣽⣾⡿⢯⡿⠋⠀⠄ ⠀⠄⠡⢈⠐⠠⢀⠙⠛⠁⡀⠂⠌⡀⣿⠟⠁⠠⢀⠁⠂⠼⣿⡾⠛⢁⠠⠁⢼⡁⡟⠠⠀⣄⡎⢻⠀⠂⠤⡇⠰⢃⠊⠇⠈⣐⠇⠠⠁⠌⠠⢁⠐⠠⢀⠻⠏⢀⠂⠡⠈⠻⠏⢁⠠⠸⠋⢄⠂⠐⡈⠀⠄⢻⠏⠀⡐⠠⠘⣿⠃⠠⢀⠹⣿⡿⠃⠠⠘⠁⠄⡁⠂ ⠠⢈⠐⠠⢈⠐⡀⠂⠌⡐⠠⠁⠂⠄⡉⠠⢈⠐⠠⢈⠐⠠⠙⢀⠐⡀⢂⠡⢀⠉⢇⠀⡈⢠⣱⡬⢀⣀⡉⢳⡑⠠⠄⣀⠲⠂⠠⠁⠌⠠⢁⠂⡈⠐⠠⢀⠂⠄⡈⠄⡁⢂⠐⡀⢂⠡⠘⠈⠀⠃⠙⠆⠀⣼⠀⢢⢶⠥⢢⢑⠄⠳⠄⣈⠏⠱⠆⡁⡚⢀⠂⠄⡁ ⠀⠂⠌⡐⢀⠂⠄⡁⢂⠐⠠⠁⠌⡐⢀⠡⠀⠌⡐⠠⢈⠐⡈⠄⢂⠐⡀⠂⠄⡈⠄⠒⠀⠋⢁⠡⠜⠀⠤⠞⢁⠉⡁⠄⡐⠈⠄⠡⢈⠐⡀⠂⠄⡁⠂⠄⡈⠐⡀⢂⠐⡀⢂⠐⠠⠐⠘⢐⣌⠂⠡⠐⡃⠙⢂⠋⠁⡐⠒⠂⠘⢃⠐⠒⠐⠑⡂⠅⠆⠆⠈⠄⡀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡶⠾⠛⠛⠋⠉⠉⠉⠉⠉⠛⠛⠻⠶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⣦⣄⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠈⠙⢿⣄⠀⠀⠀⠉⠙⠻⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠉⠳⣄⠀⠀⠀⠀⢸⠁⠈⢣⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠹⣧ ⠀⠀⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠸⡆⠀⠀⠀⠸⣇⠀⠈⣧⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣀⣠⣿⠀⠀⠀⠀⢻⣷⣾⣿⡆⠀⠀⠀⠀⠹⣆⠀⠀⢰⡿ ⠀⠀⠀⠀⢠⡿⢀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡇⠀⠀⠀⠘⡿⠿⠟⣇⠀⠀⠀⠀⠀⢹⡆⢀⣿⠃ ⠀⠀⠀⢠⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡌⠉⠀⡇⠀⠀⠀⠀⠹⡀⠀⡏⢀⣴⣿⣿⣿⠀⢿⡿⠁⠀ ⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣶⣶⡄⠀⠳⣤⡼⠁⠀⠀⠀⠀⡀⠙⠚⠁⠈⠛⠟⠛⠉⠀⢸⣧⠀⠀ ⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠃⠀⠀⠀⠀⠀⠘⠓⠒⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⢶⣿⣿⡛⠛⠛⠓⠶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀ ⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠋⠁⠐⠛⠛⠋⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀ ⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀ ⠀⠀⠉⠛⠷⢶⣶⠶⠶⠶⠖⠛⠋⠁⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⢠⣾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣷⣀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣄⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⢀⣤⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⣠⡴⠋⣹⡏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣋⣠⡴⠶⠛⠁⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠉⠉⠀⠀⠀⠀⠀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣤⣄⣀⣀⣀⣤⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⢀⣤⣶⠆⢀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠙⣛⣡⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⡴⣖⢲⡤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣋⡉⠁⠙⠓⠒⠶⠦⣤⣤⣄⠀⠀⠀⠀⢀⡤⠴⠒⠚⠋⠛⠛⠛⠒⠒⠒⠦⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠳⢿⣟⣻⣿⣂⣶⣦⣤⣤⣀⡈⠃⣷⠀⣀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⡿⡟⣿⣿⣿⣮⠉⢩⡟⠳⠿⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠓⠒⡎⢛⣿⣿⡃⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣷⠠⣿⣿⣶⣿⡄⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣾⢿⣿⣿⡿⠁⠀⠀⠀⠀⠈⢀⣿⣦⡀⠀⣤⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡹⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠐⢁⡀⣾⣿⠛⠀⠐⣿⡿⠃⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠸⠟⠹⣧⠀⠀⢀⣻⠇⠸⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠳⢤⠴⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠘⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠠⠀⣿⡀⠀⠀⠀⠀⠀⢠⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣶⡿⣗⣀⠀⠀⠀⢀⡞⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣼⣟⣇⠈⠛⠳⠶⠖⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣾⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⣾⣿⣿⣿⣿⣿⣿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣷⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡶⣄⣀⡀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣿⣿⡿⠽⠟⠋⠀⠀⠀⠉⠉⠉⠋⠉⠉⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⠿⠿⠿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⠶⠿⠛⠛⠛⠛⠛⠛⠛⠿⠷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡾⠟⠛⠛⠛⠿⣦⣄⠀⣠⣴⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣼⡟⠀⠀⠀⠀⠀⠀⠈⢙⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡎⠉⢱⡀⠀⠀⠀⠀⡜⠁⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀ ⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⢸⡇⠀⠀⠀⢰⡇⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀ ⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣶⣿⡇⠀⠀⠀⢸⣿⣶⣾⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀ ⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀⠀⠸⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠹⣷⡴⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⠁⠀⠀⠀⠀⢿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⡀⠀⠀ ⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⢠⣶⣶⣶⣦⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀ ⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⠀⢈⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀ ⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀ ⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀ ⠀⠀⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⣀⣴⡿⠁⠀ ⠀⠀⠀⠀⠀⠀⣸⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⡛⠛⠉⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⠋⠁⠙⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠈⠙⠻⣶⣄⠀⠀⠀ ⠀⢀⣴⣿⣯⣴⡆⠀⠀⠀⠙⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⢰⣶⣬⣻⣷⡀⠀ ⠀⣾⠏⢸⣿⠿⠃⠀⠀⠀⠀⠀⠙⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠋⠀⠀⠀⠀⠀⠈⠻⢿⡿⠹⣿⡀ ⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠲⢦⣤⣤⣀⣀⠀⢀⣀⣠⣤⣤⠶⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡇ ⠀⠻⣷⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣬⣿⠟⠛⠻⣿⣯⣥⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⡿⠃ ⠀⠀⠀⠉⠛⠛⠿⠿⠶⠶⠶⠶⠶⠿⠿⠿⠟⠛⠛⠋⠉⠀⠀⠀⠀⠀⠉⠉⠛⠛⠻⠿⠿⠿⠶⠶⠶⠶⠶⠾⠿⠛⠛⠋⠁⠀⠀

⠀⠀⠀⠀⠀⣀⡀⠀⢀⣀⠀⠀⠀ ⠀⠀⠀⡐⠁⠀⠀⠉⢡⡀⢈⢂⠀ ⠀⠀⠀⢇⡀⠀⠀⠀⠀⠀⠃⡜⠀ ⠀⠀⠀⠈⢒⢄⠀⠀⠀⢀⠔⠁⠀ ⠀⠀⡠⠄⡀⠈⠚⠒⠊⠀⣀⣀⠀ ⠠⡊⠀⠀⢈⠍⠀⣈⠉⠋⠀⠀⠱ ⠀⡳⠀⠀⣮⡎⣸⡼⠀⠀⠀⢀⡴ ⢠⠁⠧⠜⠙⢰⠙⠃⢅⡵⠀⠀⡇ ⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⢰⣄⠀⠀⠀⠀⠀⠀⠀⢀⠜⢵ ⠀⠸⡄⣑⠢⢤⡤⢤⠤⣚⠁⠀⡎ ⠀⠀⠈⠐⠂⠁⠀⠀⠓⠤⠥⠒⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡶⠒⠒⠶⣄⣠⡴⠚⠉⠁⠀⠀⠀⠀⠀⠉⠙⠳⢦⡀⠀⠀⠀⠀⠀⠀ ⢠⡏⠀⠀⠀⠀⠘⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢱⠀⠀⢠⠉⢡⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀ ⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣾⠄⠀⢸⣦⣾⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀ ⠀⠘⢧⡀⠀⠀⠀⠀⠀⠀⠈⣿⣿⠀⠀⠸⣿⡿⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠈⠁⡴⠶⡆⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄ ⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷ ⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇ ⠀⠀⠀⣀⡿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⣿⡛⠁⠀ ⠀⣠⢾⣭⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠊⠀⢠⣝⣷⡀ ⢠⡏⠘⠋⠀⠀⠀⠈⠑⠦⣄⣀⠀⠀⠀⠀⠀⣀⡠⠔⠋⠀⠀⠀⠈⠛⠃⢻ ⠈⠷⣤⣀⣀⣀⣀⣀⣀⣀⣀⣤⡽⠟⠛⠿⣭⣄⣀⣀⣀⣀⣀⣀⣀⣀⣤⠞ ⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠿⠿⠛⠛⠋⢉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠿⢿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠟⠋⠉⠀⠀⠀⠀⢰⣾⣂⠄⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠈⠀⠀⠀⠉⠛⠿⣶⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠛⠉⠀⠀⠀⠄⠂⠀⢀⣶⡿⠛⢿⡿⠀⠀⠀⠈⠰⠁⡀⣤⣽⣶⡄⠂⠀⢀⠀⠀⠀⠀⠉⠛⢶⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠋⠐⢀⠂⠐⠀⢈⠰⢀⢢⣿⠏⠀⠀⣼⡇⡃⠄⠂⠐⠠⢢⣿⠏⠀⠙⣿⠀⠀⠀⡀⠂⠀⠄⠀⠀⠀⠘⠻⣦ ⠀⠀⠀⠀⠀⢀⣴⠿⠃⠐⠀⠈⠂⠀⠠⠁⠀⠢⢰⣿⡏⠀⠀⢠⣿⠃⠁⠄⠂⠱⣰⣿⠇⠀⠀⢰⣿⡇⠀⠀⠀⠀⠀⠄⠁⠀⠁⠠⠁⠈ ⠀⠀⠀⡀⣤⣿⠋⠠⠐⠀⡀⠂⠈⠀⠠⠀⢀⢡⣿⣿⣇⣀⣴⣿⡏⠀⢀⠂⠄⣧⣿⣿⠀⠀⢀⣾⣿⠁⠀⠀⡀⠂⠀⠠⠀⠂⠀⠀⠀⠀ ⠀⠀⢈⣼⡟⠁⠠⠁⠂⠀⠀⠐⠀⡁⠠⠂⡀⣾⣿⣿⣿⣿⣿⡟⣰⠀⠂⠀⢰⣻⣿⣷⣦⣤⣾⣿⡏⠀⠀⢀⠀⠀⡐⠀⠠⠐⠀⡀⠀⠀ ⣠⣄⣾⠃⡀⠀⠐⠀⢀⢠⣀⢄⡀⠀⠁⠀⢀⣿⣿⣿⣿⣿⡟⠀⠀⠀⠐⠀⡁⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠂⠀⠀⠄⠀⠄⠀⠀⠀ ⣿⣿⠃⠀⡀⠁⠈⠐⣬⢷⡹⢮⡝⣆⠀⠀⠀⣿⣿⣿⣿⠏⠀⠀⠀⠁⠀⠀⡡⣿⣿⣿⣿⣿⣿⠃⠀⠈⠠⠐⠀⠠⠀⠂⠀⠠⠀⠀⠀⠀ ⣾⣧⠀⠀⠐⠀⠀⠀⠈⠫⠝⠧⠛⠀⠀⠀⠀⠹⠿⠟⠁⡀⢤⣤⣤⣀⠠⠀⠑⢻⣿⣿⣿⡿⠁⠀⠀⠐⠀⡀⢀⡀⢀⠀⠀⠁⠠⠀⠀⠀ ⣿⡇⠀⠀⠀⠄⠂⠄⠀⡀⠀⠀⠠⠐⠀⡄⠀⠀⠀⠀⠀⠀⣺⣿⣿⣿⣷⠆⠀⠈⠛⠿⠋⠀⠀⢀⠀⢂⡷⣹⢧⣛⢧⣖⡠⠀⠀⢀⠀⠀ ⡏⠁⠠⠀⢀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⣹⣿⡿⢻⡏⠀⠀⠀⠀⠀⠀⠀⠄⢀⠀⠹⢜⡳⢮⡝⣾⢸⠓⡀⠁⠀⠀⠀ ⠃⠀⠐⠀⡀⣦⣬⣤⣤⣴⣄⣂⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⢼⣏⢻⡿⠃⠀⠀⠉⠀⠀⠀⠀⠄⠀⠀⠀⠀⠉⠂⠙⠀⠁⡀⠀⠀⠁⠀⠀ ⠀⠀⢀⣂⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⣶⣾⣿⣿⣧⣤⣤⣤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢁⠀⠄⠀⠀⠀⠀ ⠀⠀⠉⠉⠉⠻⣿⣿⣳⣯⢿⣽⣻⡽⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⠀⠀⠀⡀⠀⠂⠀⠀⠀ ⠀⠀⠠⢀⠀⠀⠈⢿⣿⡾⣯⡷⣿⣽⣻⣾⡟⠁⢹⣿⡿⠻⢿⣿⣳⣯⢿⡽⣯⣟⣿⣻⣟⡿⣿⢿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠁⠀⠀ ⠀⠀⢀⠀⠠⠀⠀⠈⢿⣿⣷⣻⣷⣿⣿⣿⡇⠀⢸⣿⣷⣄⣰⣿⣿⡽⣯⣟⣷⣻⣞⡷⣯⣿⣿⠟⠋⠉⠉⠉⠉⠉⠙⠓⠤⣄⡀⠀⠀⠀ ⠀⠀⠀⡀⠄⠀⠀⠀⢹⣿⣿⠋⠁⣠⣀⡀⠀⠀⣿⣿⠋⠉⣿⣿⣿⠿⠟⠛⠿⢿⣾⣿⣿⠟⠁⠀⠀⡀⠐⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⠀⠀⠡⠀⢿⣿⡏⠀⣸⣿⣿⣷⠀⢠⣿⣿⠀⠀⣿⡿⠁⢀⣤⡤⠀⠀⢿⣿⠏⠀⠀⠀⠂⠀⠀⠀⠂⠀⠁⡀⢀⠀⠐⠀⠀⠀ ⠀⠀⠄⠀⠠⠁⢀⢩⣾⣿⣇⠀⠹⢿⣿⠿⠀⢸⣿⡗⠀⢰⣿⡃⠀⠀⠀⣀⣤⣶⣿⣿⠀⠀⠂⠐⠀⠀⡀⠂⠀⡀⠁⠀⠀⠀⠈⠀⠀⠀ ⡀⢀⠀⠁⢠⡐⣮⣾⣿⡿⣿⣷⣄⣈⣉⣀⣀⣸⣿⣇⠀⢸⣿⣧⡀⠈⠛⠿⠟⠉⢿⣿⡆⠀⠀⠁⠀⠀⠀⡀⢀⠀⠄⠁⡀⠈⠀⢁⠀⠀ ⣼⡢⢎⣷⣣⣾⣿⣿⣯⣟⣷⣻⣿⣿⣿⣿⣿⢿⣿⣿⣿⡿⣟⣿⣿⣶⣦⣴⣴⣶⣿⣿⣿⡠⢀⠈⠀⠐⠀⠀⠀⠠⠀⢂⠀⠄⠁⢂⠀⣀ ⣿⣿⣿⣿⢟⠫⣍⢛⡹⢛⡛⡟⠿⠿⠿⡿⣿⣿⣿⣿⣷⣿⣯⣷⣯⣿⣽⣻⣟⣿⣻⣟⣿⣷⡍⡖⢤⣈⠐⡈⠠⢁⠂⠄⢠⢀⣂⢦⢳⠰ ⣿⢯⡿⣿⣯⡖⣡⠏⣔⠫⠴⡙⡬⢃⡳⣘⡔⠲⡤⡩⢍⡍⢏⡛⣛⢛⠻⠟⡿⢿⣿⣿⣾⣿⣿⣜⠦⣌⠳⢥⡓⢮⡜⣎⠳⡜⣬⢳⢣⡙ ⣿⢯⣟⡿⣿⣿⣇⣞⣌⢣⠏⣜⡡⢏⠴⣡⠚⡥⢣⡱⢣⠜⣪⠱⡌⡎⣝⢪⢱⣒⢦⣲⠱⣬⢽⡻⢿⣮⣝⢦⡙⢣⡚⢬⢓⣙⢒⡫⢆⡹

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠦⡄⠀⠀⠀⠀⠀⠀⡴⠀⠀⠀ ⠀⢀⣀⠀⠀⠀⣀⠤⠖⠒⠋⡉⠙⢲⣺⢅⡀⠀⠹⡀⠀⠀⠀⢀⡜⠁⠀⠀⠀ ⣼⠉⠀⠉⠓⠏⠁⠀⠀⠀⠀⢯⣧⠈⢿⡆⠈⠓⢴⠇⠀⠀⣠⠊⠀⠀⠀⡀⠀ ⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⡀⠄⠠⢀⠈⢣⡀⠀⠁⠀⢀⡤⠊⠀⠀ ⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⠎⠀⠀⠀⠘⡇⠀⢧⠀⠐⠊⠁⠀⠀⠀⠀ ⠀⢸⠳⣄⠀⠀⠀⠀⠀⠀⠀⠈⢺⠀⠀⠀⠀⠀⡇⠀⢸⠀⠀⠀⠀⢀⣀⣀⡀ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣆⠠⠄⢀⡀⢇⠀⢸⡀⠀⡀⠀⠀⠀⠀⠀ ⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠈⠙⠆⡼⠛⢦⡀⠑⠢⣄⠀⠀ ⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠢⣀⠀⢀⡴⡰⠁⠀⢀⡇⠀⠀⠈⠑⠀ ⠀⠀⠀⢸⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠗⠒⠚⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡜⠀⠉⠢⢄⣀⠀⠀⠀⠀⠀⣀⡤⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⠀⠀⣨⠟⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⠂⠴⠒⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠊⢡⡄⠀⢠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠄⠒⠉⠀⢰⣧⡇⠠⣧⡞⠀⠀⠀⠀⠀⠈⠉⠁⠂⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⠁⠀⠈⢠⡤⣼⢿⠃⠐⡿⠃⠀⠀⠀⠀⠀⢀⡠⠔⠂⠀⢣⠀⠀⠀ ⠀⠀⠀⣠⠁⠐⠋⡆⠈⠉⠀⠈⠻⠟⠀⠀⠀⠁⠀⠀⠀⠀⣄⠉⠉⠀⠀⢣⠀⠀ ⠀⢀⠖⢡⡀⢀⣼⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠳⣄⡀⠀⠀⠱⠀ ⠀⡼⠀⢠⢝⣿⠉⠘⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠃⠀⠀⣧⡆⠀⠀⠀ ⢠⠁⢠⠿⠛⠁⠀⠀⠈⡷⠤⣀⠀⠀⠀⠀⢀⡠⠒⠊⠹⠁⠀⠀⠀⢀⡝⠀⠀⠀ ⢘⢀⣠⡇⠀⠀⠀⠀⠀⢧⠀⠀⠉⠓⡶⢿⡉⠠⡀⠀⠀⠇⠀⠀⠀⢨⣩⡷⢀⡀ ⠸⣮⠀⠃⠀⠀⠀⠀⠀⣾⣦⠀⠀⣴⠃⠀⢳⡀⢱⣀⡼⠀⠀⠀⠀⠀⠀⠸⠞⠁ ⠀⠈⠀⠀⠀⠀⠀⠀⠀⠘⣟⠳⣶⠇⠀⠀⠀⢻⣇⢩⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⠟⡄⠀⠀⠀⢠⢿⠋⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⡶⠀⠀⠀⠸⣄⠆⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣅⠀⡞⠀⠀⠀⠀⠀⢸⣅⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⡇⠀⠀⠀⠀⠀⣸⣿⣼⣦⡀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡤⠖⠋⠉⠉⠉⠉⠙⠲⣦⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀ ⠀⠀⡼⢁⡠⢼⠁⠀⢱⢄⣀⠀⠀⠀⠀⠀⠎⢿⡄⠀⠀ ⠀⣸⠁⠀⣧⣼⠀⠀⣧⣼⠉⠀⠀⠀⠀⠀⠐⢬⣷⠀⠀ ⡼⣿⢀⠀⣿⡟⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⠀ ⣇⢹⠀⠁⠈⠀⠉⠃⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⡰⢸⡇ ⠙⢿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣏⣈⣉⣤⠿⠁ ⠀⣠⣾⣿⠤⡀⠀⠀⠀⠀⠀⢀⣤⣶⣿⣿⣿⣿⣅⠀⠀ ⢰⣧⣿⣿⣿⣦⣉⡐⠒⠒⢲⣿⣿⣿⣿⣿⣿⣶⣿⣧⠀ ⠘⠿⢿⣿⣿⣿⡿⠿⠛⠿⠿⠿⣿⣿⣿⣿⣿⣿⡿⠟⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀

⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⢫⣿⣟⣿⠟⠁⡜⢡⡾⣹⢯⣿⢿⢸⠀⠀⠀⠀⠱⡀⠀⠹⣿⡿⣿⣎⢿⣿⣿⣶⠆⠀⠀⠀⠀ ⠀⠀⠀⣴⣿⠋⢿⣿⡿⢡⣿⣿⣿⠃⠀⡼⢠⡿⣱⣿⡾⢃⡇⡞⠀⠀⠳⡀⠀⢱⠀⠀⠙⣿⣿⣿⡏⣿⣿⣿⣧⠀⠀⠀⠀ ⠀⠀⣰⣿⡏⢀⣿⡿⢡⣿⣿⣿⡏⠀⢠⠇⡾⣱⣿⣿⠃⡜⢠⠇⠀⠀⠀⠘⡄⠀⢳⡀⠀⢹⣿⣿⣿⣽⣿⣿⣿⣆⠀⠀⠀ ⠀⢠⣿⣿⡗⣼⣿⢡⣿⣿⣿⣿⠀⠀⢸⣾⣵⣿⣿⠃⡼⠀⡸⠀⠀⠀⠀⠀⠘⣄⠀⢳⠀⠀⣿⣿⣿⣿⣿⣿⣿⡟⡄⠀⠀ ⠀⣿⣿⣿⢷⣿⠃⠘⡟⢸⣿⡇⠀⢀⡾⢡⣿⣿⣏⡞⠁⢀⡇⠀⠀⠀⠀⠀⠀⠈⠀⠀⠳⡀⢸⣿⣿⣿⣿⣿⣿⣧⢸⡀⠀ ⠀⢻⣿⣿⣾⠏⠀⠀⠀⢸⡟⠷⠖⠉⢧⡾⠛⡿⠋⠀⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⣼⣿⣿⣿⣿⣿⣿⣿⡀⡇⠀ ⠀⢸⣿⣯⡿⠀⠀⠀⠀⣿⠀⠀⠀⠴⠋⠀⣸⠁⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⢿⣿⢿⣿⣿⣿⣿⡇⠳⠀ ⢠⣿⣿⣿⠃⠀⣀⣠⣼⣿⣶⣿⣦⣄⠀⠀⠁⠀⠀⢀⣼⠁⠀⠀⠀⣲⣶⣿⣿⣿⣶⣤⡀⠈⠁⠘⢿⣼⣿⣿⣿⣿⣿⡄⠁ ⢸⣿⣿⠋⢀⢸⣿⠟⠉⠉⠉⠙⠻⣿⣷⡄⠀⠀⠀⠀⠀⠀⠀⢺⣿⣿⠟⠋⠉⠉⠙⠻⣿⡄⣧⠀⠀⢹⣿⣿⣿⣿⣿⡄⠀ ⠸⣿⣿⠀⢸⣼⡏⠀⣴⣿⣿⣦⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⣰⣿⣿⠁⢀⣤⣤⣄⡀⠀⢹⣇⢸⠀⠀⠸⣿⣿⣿⣿⣿⣷⠀ ⢸⣿⣿⠀⠘⣿⣷⠀⢻⣿⣿⡿⠀⣰⣿⣿⠀⠀⠀⠀⠀⠀⣿⣿⣯⠀⢾⣿⣿⣿⡇⠀⣸⣿⡼⠀⠀⢠⣿⣿⣿⣿⣿⣿⠀ ⠈⣿⣿⠀⠀⠸⣿⣷⣤⣤⣤⣤⣾⣿⡿⠋⠀⠀⠀⠀⠀⠀⠙⣿⣿⣧⣈⡛⠛⠋⣀⣴⡿⠝⠁⠀⠀⣸⣿⣿⣿⣿⣿⡇⠀ ⠀⣿⣿⡄⠀⠀⠈⠻⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⢿⣿⠿⣟⡉⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⡇⠀ ⢸⣿⣿⣿⠀⠀⠀⠀⠉⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠿⣿⠿⠟⠋⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⡇⠀ ⢸⣿⣿⣿⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣘⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⢸⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⢟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⣸⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣷⡄⠀⣿⣯⡄⠀⠀⠀⠀⠀⠀⠀⠘⠛⠁⣴⠏⣽⣿⣿⣿⣿⣿⣿⣿⣿⣯⠄ ⢸⣿⣿⣿⣿⣿⣧⠰⣄⠀⠀⠀⠀⠀⠀⠻⠿⠁⠀⠻⠿⠁⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⢁⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀ ⠘⣿⣿⣿⣿⣿⣿⣧⠈⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠋⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣄⠀⠙⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠟⠁⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠈⢿⣷⣦⡀⠀⠀⠀⠀⠀⢀⣠⣶⡿⠋⠁⢀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠈⠛⠿⣷⣶⣤⣴⣶⠿⠛⠋⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀ ⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠉⠙⠃⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡋⢿⠀⠀

⠀⠀⠀⠀⠀⠀⠀⢀⣤⠖⠛⠉⠉⠛⠶⣄⡤⠞⠻⠫⠙⠳⢤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠟⠁⠀⠀⠀⠀⠀⠀⠈⠀⢰⡆⠀⠀⠐⡄⠻⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠦⠤⣤⣇⢀⢷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⢈⡼⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣆⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⣼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⣎⢳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⣝⠳⣄⡀⠀⠀⠀⠀⠀⢀⡴⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢮⣉⣒⣖⣠⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣴⠶⠶⢦⣀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⢀⣠⣤⣤⣀⠀⠀⠀ ⠀⢀⡾⠋⠀⠀⠀⠀⠉⠧⠶⠒⠛⠛⠛⠛⠓⠲⢤⣴⡟⠅⠀⠀⠈⠙⣦⠀ ⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⠀⣀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠸⣇ ⠀⣿⡀⠀⠀⠀⠀⠀⢀⡟⢁⣿⠀⢠⠎⢙⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽ ⠀⠈⢻⡇⠀⠀⠀⠀⣾⣧⣾⡃⠀⣾⣦⣾⠇⠀⠀⠀⠀⠀⠀⠀⠰⠀⣼⠇ ⠀⢰⡟⠀⡤⠴⠦⣬⣿⣿⡏⠀⢰⣿⣿⡿⢀⡄⠤⣀⡀⠀⠀⠀⠰⢿⡁⠀ ⠀⡞⠀⢸⣇⣄⣤⡏⠙⠛⢁⣴⡈⠻⠿⠃⢚⡀⠀⣨⣿⠀⠀⠀⠀⢸⡇⠀ ⢰⡇⠀⠀⠈⠉⠁⠀⠀⠀⠀⠙⠁⠀⠀⠀⠈⠓⠲⠟⠋⠀⠀⠀⠀⢀⡇⠀ ⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀ ⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡄⠀ ⠀⠀⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠋⣷⠀ ⠀⠀⢰⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠃⠀⣿⡇ ⠀⠀⢸⡯⠈⠛⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠾⠋⠂⠀⠀⣿⠃ ⠀⠀⠈⣷⣄⡛⢠⣈⠉⠛⠶⢶⣶⠶⠶⢶⡶⠾⠛⠉⠀⠀⠀⠁⢠⣠⡏⠀ ⠀⠀⠀⠈⠳⣅⡺⠟⠀⣀⡶⠟⠁⠀⠀⠘⢷⡄⠀⠛⠻⠦⡄⢀⣒⡿⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠛⠁⠀⠀⠀⠀⠒⠂⠀⠙⠶⢬⣀⣀⣤⡶⠟⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠔⠒⠉⠉⠀⠀⠀⠀⠀⠉⠉⠑⠒⠤⣀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢖⡉⠁⠀⠀⠉⠑⢦⠀⠀ ⠀⠀⠀⣀⠤⠤⠤⠤⠤⣀⡀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣄⠀⠀⠀⠀⠀⢀⡶⢶⣄⠀⠀⠀⠙⠢⡀⠀⠀⠀⠀⢳⠀ ⠀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠉⠓⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠈⢷⡄⠀⠀⠀⠸⣇⠀⠹⣆⠀⠀⠀⠀⠘⢦⠀⠀⠀⢀⡆ ⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣆⣀⣸⣷⠀⠀⠀⠀⢿⣦⣼⣿⡄⠀⠀⠀⠀⠀⢳⡀⠀⢸⠁ ⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡆⠀⠀⠀⠸⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⢳⣤⠏⠀ ⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡿⢿⣿⡇⠀⠀⠀⠀⢻⣟⣿⣿⠀⠀⣀⣀⣀⠀⠀⢻⡀⠀ ⠘⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠈⢷⣮⡽⠃⠀⠀⠀⠀⠀⠙⠛⠃⠀⠠⡇⠀⠈⢱⠀⠀⣇⠀ ⠀⠀⠑⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠀⠀⠀⣠⣴⣾⣿⣿⣿⣿⣿⣶⣄⡀⠀⠈⠓⠂⠀⠀⠀⢹⠀ ⠀⠀⠀⠀⠉⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠚⠁⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⠟⠻⠋⠉⠋⠛⠛⠻⢿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⡇⠀⠀⠀⢰⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣿⣿⡇⠀⠀⢀⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⡿⠀⠀⢠⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠃⠀⡰⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣶⣀⡀⢀⣀⠀⠄⢀⣤⣶⣿⣿⡿⠁⢀⣼⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣷⣶⣾⣿⣿⣿⣿⠟⠋⣠⣴⣿⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣄⣀⣀⡀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠋⣁⣤⣶⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠉⠉⠓⠒⠒⠒⠒⠊⠳⢾⣿⣿⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⡉⠉⠉⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠚⠋⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠶⠋⠀⣀⣀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠞⠁⠀⠀⣴⠃⣼⠀⠀⣰⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠒⠒⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠚⠉⠀⡄⠀⠀⠀⢸⣿⣿⡿⠀⠀⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢠⠏⠁⠀⠀⡰⠁⠀⣀⡀⢸⣿⣿⠇⠀⠀⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⠀⠀⠱⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⣀⡀⡀⠀⢾⣯⣭⠟⠉⢋⣀⣀⣀⡨⠍⠁⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠲⠯⢭⣅⣈⡀⠀⠀⠱⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡾⠀⠀⠒⢺⢀⡇⠀⠀⠀⠀⠀⠀⠈⠻⠿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⠀⠀⠀⠀⠀⠀⠀⠱⡄⠀⠀ ⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠈⡎⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣶⡄⠀⠀⠀⠀⠀⠀⠙⣆⠀ ⠀⠀⢠⡞⠁⠀⢷⣄⠀⣴⣾⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠃⠙⢶⣤⡀⠀⠀⠀⠀⠘⠀ ⠀⠀⣾⠃⠀⠀⣈⣻⣿⣿⠟⠁⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠏⠀⠀⠀⢹⡏⢦⠀⠀⠀⠀⠀ ⠀⢠⡏⠀⠀⣰⣿⢠⣾⠟⠀⠀⠀⠘⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡴⠋⠀⠀⠀⠀⠈⠻⣿⡄⠀⠀⠀⠀ ⠀⡼⠀⠀⢰⣿⠿⠛⠁⠀⠀⠀⠀⠀⠈⣿⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠋⠉⠁⢸⡁⠀⠀⠀⠀⠀⠀⠀⣠⠃⠀⠀⠀⠀ ⢠⡇⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠉⠛⠶⣦⣤⣀⣀⣶⣤⠞⠋⠁⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⣸⣿⢦⣤⡀⠀⠀ ⢸⣴⠀⣤⢶⣿⠀⠀⠀⠀⠀⠀⠀⠀⢰⠿⡆⠀⠀⠀⠀⠀⠈⣽⡟⠛⣧⡀⠀⠸⡄⠀⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠹⣧⣴⠟⢇⢀⣀ ⠘⣯⣜⠁⠘⠿⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⣿⣄⠀⠀⠀⠀⣠⡿⠀⠀⠘⣷⡄⠀⠹⡆⠀⢀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣾⠟ ⠀⠹⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣟⣿⣧⡄⠀⢰⡿⠁⠀⠀⠀⠘⣷⣀⣠⢷⣽⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡛⠻⣿⣶⣿⠃⠀⠀⠀⠀⠀⠘⣿⣏⢀⣤⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣟⡶⣮⣽⡏⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⡶⠟⢱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⠛⠛⠙⡄⠀⠀⠀⠀⠀⠀⣰⠿⣟⠉⠀⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⢀⣵⠀⠀⠀⠀⠀⠀⢿⠀⢸⡀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣏⠀⠀⢠⣼⠏⠀⠀⠀⠀⠀⠀⠈⢿⣄⠃⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⣷⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⡛⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣼⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢀⡴⠛⠉⠙⠲⣤⣤⠴⠖⠚⠋⠉⠉⠛⠒⠦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣾⠁⠀⠀⣠⠞⠉⢀⡷⡀⠀⠀⠀⠀⠀⡀⠀⠀⠙⢷⣤⡤⠤⠤⣤⡀⠀ ⠀⠀⠀⣧⠀⢠⠞⠁⠀⠀⡎⣇⢿⠀⠀⣶⢊⡏⠁⠀⠀⠰⠟⠁⠀⠀⠀⠀⠹⡄ ⠀⠀⠀⢸⣤⠏⡠⢤⡀⠀⡃⢀⠇⠀⢸⠈⠉⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⢠⡏⠀⠘⠤⠽⠀⢣⣊⣀⠀⠸⣀⠜⣀⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇ ⠀⠀⠀⢸⠀⠀⠀⠀⠀⡔⠉⠀⠀⠉⠢⡀⠀⠧⠠⠜⠀⠀⠀⠀⠀⠀⠀⣠⠟⠀ ⠀⠀⠀⢸⡀⠀⠀⠀⠸⠀⠀⢀⠔⠊⠉⠙⡄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠁⠀⠀ ⠀⠀⠀⠘⣇⠀⠀⠀⢀⠀⡰⠃⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀ ⠀⠀⣠⠞⢻⡀⠀⠀⠸⣰⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⢠⣏⠀⠀⠀⠀ ⠀⣼⠃⠀⠀⢳⡄⠀⠀⢳⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⣠⠏⠈⠳⣄⠀⠀ ⢰⡇⠀⠀⠀⠀⠙⢦⣀⠀⠱⢄⡀⠀⠀⣠⠋⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀⠘⡆⠀ ⠈⣧⡀⠀⠀⠀⠀⠀⢉⣳⢦⣤⣈⣉⣉⣀⣠⣤⣶⠚⠋⠀⠀⠀⠀⠀⠀⠀⢻⠀ ⠀⠈⠙⠓⠲⠖⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢦⣄⡀⠀⠀⠀⠀⣀⡾⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠋⠉⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢶⣿⡄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣇⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠐⠢⠄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀ ⠀⠀⠀⠀⠀⣿⣄⠀⠀⠀⠀⠀⠈⠁⠀⣲⠶⠶⠟⠛⠳⢦⣄⠀⠀⠀⠀⠘⣧⠀ ⠀⠀⠀⠀⠀⣿⠹⣦⠀⠀⠀⠀⢀⣀⣼⠏⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠹⣦ ⠀⠀⠀⠀⠀⣹⡆⠘⢷⡀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢀⣿ ⠀⠀⠀⠀⣸⠟⣧⠀⠈⢻⣄⠀⠀⠀⠀⢹⣧⣄⣀⡀⠀⠀⠀⢸⡇⠀⠀⠀⣼⠃ ⠀⠀⠀⣰⡏⢰⣿⡄⠀⠀⠹⣦⠀⠀⠀⠛⠁⠉⠉⠙⠛⠛⠛⠻⣧⠀⠀⣸⡏⠀ ⠀⠀⢠⡟⠀⢸⣿⡇⠀⠀⠀⢘⣷⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⣀⣸⢷⣤⠟⠀⠀ ⠀⢀⡾⠁⢠⣿⠁⣿⠀⠀⠀⢸⡇⠀⠀⠉⠉⠛⠛⠛⠒⠚⠛⠋⠁⠀⠀⠀⠀⠀ ⠀⣼⠃⢠⡏⣿⠀⢹⡆⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣾⡁⢠⡟⢀⡏⠀⢸⣇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠙⠋⠀⢸⡇⠀⡿⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⠇⢰⡇⢹⡆⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣤⣼⠁⢸⣇⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⣀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬜⬜🟥🟥⬜⬜⬛⬛⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟥🟥⬜🟥⬜⬜🟥⬜🟥🟥⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛⬛🟥🟥🟥⬜🟥🟥🟥🟥⬜🟥🟥🟥⬛⬜⬜⬜⬜ ⬜⬛⬛⬜⬛⬜⬜⬛🟥🟥⬛⬛⬛⬛⬛⬛🟥🟥🟥⬛⬜⬜⬜⬜ ⬛⬜⬜⬛⬛⬜⬜⬛⬛⬛🟥🟥🟥🟥🟥🟥⬛⬛🟥🟥⬛⬜⬜⬜ ⬛⬜⬜⬜⬛⬜⬜⬛🟥🟥⬛⬛⬛⬛⬛⬛🟥🟥⬛🟥⬛⬜⬜⬜ ⬜⬛⬜⬜⬛⬛⬛⬛⬛⬛⬜⬜🏻🏻⬜⬜⬛⬛🟫⬛⬛⬜⬜⬜ ⬛⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬛🏻🏻⬛⬜⬜🏻🟫🏻🏻⬛⬜⬜ ⬛⬜⬜⬜⬛⬜⬜⬜⬛⬜⬜⬛🏻🏻⬛⬜⬜🏻⬛🏻🏻⬛⬜⬜ ⬛⬜⬜⬜🟦⬛⬛⬜⬛🏻🏻🏻🏻🏻🏻🏻🏻🏻🏻⬛🏻⬛⬜⬜ ⬜⬛⬛🟦🟦🟦🟦⬛🏻🏻⬛🏻🏻🏻🏻⬛🏻🏻🏻⬛🏻⬛⬜⬜ ⬜⬜⬜⬛⬛⬛⬛🟥⬛⬛⬛⬛🏻🏻⬛⬛⬛⬛🏻⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬛🟥🟥🟥⬛⬛⬛⬛⬛⬛⬛⬛⬛🏻⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬛🟥🟥🟥🟥⬛🏻⬛⬛⬛⬛🏻🏻⬛⬛⬜⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥⬛⬛🏻🏻🏻🏻⬛⬛🟥🟥⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟥🟥🟥🟦🟦⬛⬛⬛⬛🟥🟦⬛🟥🟥🟥⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟥🟦🟦🟦🟦🟥🟥🟥🟥🟦⬛🟥🟥🟥🟥⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟨🟨🟦🟥🟥🟦🟨🟨⬛🟥🟥🟥⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟨🟨🟦🟦🟦🟦🟨🟨⬛🟥🟥🟥⬛⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛🟥🟥⬛⬜⬜ ⬜⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦🟦⬛⬜⬜⬜ ⬜⬜⬜⬜⬜⬛🟦🟦🟦🟦🟦⬛⬛⬛⬛🟦🟦🟦🟦🟦⬛⬜⬜⬜ ⬜⬜⬜⬛⬛⬛🟦🟦🟦🟦⬛⬛⬛⬛⬛⬛🟦🟦🟦🟦⬛⬛⬛⬜ ⬜⬜⬛⬛🏻🏻🟫🟫🟧🟧🟫⬛⬜⬜⬛🟫🟧🟧🟫🟫🏻🏻⬛⬛ ⬜⬜⬜⬛🟧🟧🟧🟧🟧🟧🟧⬛⬜⬜⬛🟧🟧🟧🟧🟧🟧🟧⬛⬜ ⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜⬜⬜⬛⬛⬛⬛⬛⬛⬛⬜⬜

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡤⠖⠚⠛⠛⠛⠛⠒⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢶⠒⠒⠒⠦⣄⠀ ⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⡄⠐⡄⠀⠀⡏⠑⡄⠀⠑⣄⠀⠀⠸⡆ ⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣀⣵⠀⠀⢹⣤⣿⠀⠀⠈⢆⠀⢸⠇ ⠀⠀⢀⣏⠤⠂⠀⠀⠀⠀⠀⠀⠀⠀⠸⠻⠟⡄⠀⠀⡟⠋⠆⣀⣤⡈⣦⡞⠀ ⠀⣠⠟⠁⠀⠀⠀⠀⠀⠀⠀⣴⣶⣦⡄⠣⠴⠁⠀⢀⡌⠒⠀⠛⠛⠁⢸⠀⠀ ⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⢸⡇⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⢔⣲⡿⠉⠛⠒⢄⠀⠀⠀⠀⠀⠀⢸⠀⠀ ⠸⣆⡀⠀⠀⠀⠀⢀⡀⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⢀⡟⠀⠀ ⠀⠀⠉⠻⣟⠋⠉⠉⡰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⢀⡾⠁⠀⠀ ⠀⠀⠀⠀⠙⢦⡀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⠀⡠⢾⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⢠⠾⠴⠒⠉⢀⡞⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⣄⣀⡠⠤⠚⠁⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⣀⡀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⣄⣀⣘⣯⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⠿⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠿⣶⣦⣄⠀⠀⣀⣀⣀⣀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣤⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠟⢁⣠⣤⣤⣴⣶⣶⠶⠶⠚⠛⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⠁⠀⠀⢿⣿⣿⣿⣿⣿⠙⣿⣦ ⠀⠀⠀⠀⠀⠀⣠⣾⣯⣴⣾⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠸⣿⣿⣿⣿⡿⠀⢸⣿ ⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⢀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢻⣿⣿⣿⡇⠀⣸⡟ ⢀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⢰⣿⣿⣿⣿⣿⡏⢹⣿⣿⣿⣿⣿⡀⠀⠀⠻⣿⣿⡅⢠⣿⠇ ⠀⣿⣿⣿⣿⠟⠋⠉⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⢻⣿⣿⣿⡿⠀⠀⢿⣿⣿⣿⣿⣷⠀⠀⣠⡿⠉⣷⣿⠃⠀ ⠀⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠹⣿⡿⣁⠀⠀⢘⣿⣿⣿⣿⣿⣦⣴⠏⠀⠀⢹⣿⠀⠀ ⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⠀⢀⡴⠏⠀⠙⠛⠛⠛⠁⠈⠛⠛⠛⠋⠀⠀⠀⠀⢸⣿⠀⠀ ⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣿⣿⣿⠿⠋⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣩⣽⡿⠟⠛⢛⣿⣿⣿⣿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀ ⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⣿⣿⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀ ⠀⠻⢷⣤⣀⣀⣀⣀⣀⣀⣀⣠⡴⠶⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀ ⠀⠀⠀⠈⠉⠻⣿⡉⠉⠉⠉⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣷⣄⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⣠⣾⠟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣄⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⣠⣾⡿⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⢀⣴⣾⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣁⣠⣴⣾⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⡿⠋⠉⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣦⣶⣾⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠾⠛⠉⠀⠀⣀⡤⢍⡻⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣤⣴⡛⠁⠀⠀⠀⠀⠘⢰⣷⣾⡐⢸⡗⠶⣄⠀⠀⠀ ⠀⠀⣤⢶⡏⠀⠀⠈⢧⣀⠤⠔⠒⠚⠊⠘⠚⠓⠚⠧⢄⣸⠀⠀⠀ ⠀⢸⡇⠈⣧⠀⠀⠀⠈⡧⠤⠤⠤⠤⠄⠐⠒⠒⠒⣶⣶⣮⣷⠀⠀ ⠀⠀⢷⣀⡬⠳⢤⣤⠼⠁⠀⠀⢰⠛⡄⠀⡔⢳⠀⢸⡏⠉⠀⠀⠀ ⢀⡴⢾⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣴⡇⠀⣷⣼⠀⣸⠷⠚⠲⢦⠀ ⣿⠀⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠘⠟⠀⠀⠹⢏⡾⠁⠀⠀⠀⢸⡇ ⢿⠀⠀⠘⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢀⡟⠀⠀⠀⠀⠀⢸⠇ ⠘⣧⠀⠀⠀⠙⣦⣄⡀⠀⠀⠀⠀⠀⢀⣠⣼⡄⠀⠀⠀⠀⢠⡟⠀ ⠀⠈⢧⣄⣀⡴⠏⠈⠙⠛⠛⠒⠚⠛⠋⠉⠀⠙⠦⣤⣤⡴⠋⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠶⠒⣣⣶⣶⣶⡶⠶⠶⣶⡶⠶⣖⠒⢶⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⢿⠀⠀⠙⠿⣿⠻⠄⠀⠈⠀⠙⢦⠈⢣⣼⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⢁⡊⠀⠀⢀⡀⢠⣦⡻⢧⡀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣠⣶⣀⣴⣄⣠⣆⣀⣽⣤⣰⣯⣴⣿⣿⣷⣼⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀ ⠀⢠⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⠱⡄ ⢠⡿⠟⣿⢿⡄⠀⣀⣤⡴⠞⠛⠛⠷⠾⡿⢿⡿⠿⠿⠿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⡿⣿⣿⡿⣿⣶⣶⣶⣶⣤⣄⡴⢳⣿⣿⠀⢹ ⢿⣧⣴⣿⣼⣿⣦⣈⠉⠉⠉⣺⠟⠂⠀⠀⠈⠋⠒⠀⠀⠋⠉⠉⠉⠀⣸⠟⡀⠀⠀⣠⠉⠈⠻⠿⣷⣌⠁⣀⡴⠋⢁⣴⣾⣿⠶⠟ ⠈⠛⠛⠛⠻⠷⢤⣈⠛⠶⣶⢇⣤⣤⣤⣤⣤⣀⡔⠒⠒⠒⠀⠀⠀⠚⢻⣾⣿⣾⣿⣿⡻⠓⠒⠚⠛⠛⣿⣿⣷⠞⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢿⡃⠿⣿⣥⡼⢯⡼⢿⣿⣿⠂⠀⠀⠀⠀⠀⣿⢹⣷⠿⣥⡿⢿⣿⣿⠀⠀⠀⣠⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⠀⠈⠻⣷⣯⣱⣾⣩⣿⣆⠀⠀⠀⠀⠀⠘⠿⣽⣶⣏⣷⣏⣹⣿⡀⠀⠐⠋⠹⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠈⠉⠛⠛⠋⢉⠁⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣯⡉⠉⠉⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⢀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣷⣼⣿⣄⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢀⣤⣾⠿⠋⠛⠿⠿⠶⢦⣤⣤⣶⣾⣿⣿⣿⣿⣿⣿⠟⠻⢶⣄⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢠⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠁⢀⣰⣶⡄⢻⡀⢀⠀⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠠⠏⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣶⣿⣿⣿⣷⠸⡇⠈⠹⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⡾⠿⣿⠿⣿⡿⠿⣿⣿⡿⢿⡟⢻⣿⣿⣿⡿⣹⣿⣄⣿⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠐⡄⠀⠀⠀⠀⠀⠀⠀⠘⠳⢤⣷⣤⡾⠄⠠⠼⠇⠀⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠒⠛⠉⠱⣶⣶⣶⣦⣄⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠒⠠⠤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⣿⣷⣶⣶⣦⣤⣤⣤⣀⣀⣀⣀⣼⣿⣿⣿⡿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⢿⣿⡿⠇⢘⣩⣿⡿⠃⠀⠀⠀⠀⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠙⠃⠐⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣷⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠤⣤⣤⣤⣴⣶⣶⣶⣿⣿⡿⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣀⡶⣓⣦⣠⣶⣶⣦⠀⠀⠀⠀ ⠀⠀⢀⡴⠞⠋⠙⢧⣭⠞⠈⢷⣩⡿⣤⡀⠀⠀ ⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀ ⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠀ ⢸⡀⠀⠀⠀⠀⠀⠀⠘⠛⠋⠉⠉⠉⠙⠃⣼⠀ ⠈⢷⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠃⠀ ⠀⠀⢹⡿⠆⣤⣄⣀⣀⣤⣤⡤⠤⠺⣏⠀⠀⠀ ⠀⢪⢻⠤⠔⡸⣇⠀⢀⠞⠣⠀⠀⠜⠋⠱⢀⡀ ⠀⠀⠀⠉⠉⠁⠉⠀⠈⠁⠁⠀⠀⠀⠉⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⠊⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⠔⠊⠁⠀⠀⠀⠀⠈⠑⠢⣀⠀⠀⠀⢀⣀⡎⠀⠀⠀⢀⡴ ⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠐⠒⠓⡼⠀⠀⠀⡴⠋⠀ ⠀⠀⢀⠃⢀⡀⠤⠄⠐⠒⠒⠒⠒⠂⠠⠤⣣⡀⣀⠤⢪⠃⠀⢠⠊⠀⠀⠀ ⠀⢀⠞⠉⠀⠀⣀⣀⠀⠀⠀⠠⠀⠀⣀⡀⠀⢹⠀⢀⠎⠀⡰⠁⠀⠀⠀⠀ ⠀⠸⣠⠒⢌⠁⠀⠀⠀⡠⠂⠀⠀⠀⢠⠚⡍⠺⢀⠎⢀⡜⠀⠀⠀⠀⠀⠀ ⠀⡠⢼⠀⣦⣑⠀⢠⣎⣼⠀⠀⠀⠀⠈⠀⣸⢿⠟⣱⡎⠀⠀⠀⠀⠀⠀⠀ ⢰⡁⢸⠀⠹⠿⠀⠀⢿⡟⠀⠀⠀⠀⠘⡦⢿⣧⣀⣼⠇⠉⡹⠀⠀⠀⠀⠀ ⠀⠑⣒⡆⠀⠀⢠⡀⠀⠀⠀⠀⠀⠀⠀⢄⠀⠉⢉⠧⠠⠔⠁⠀⠀⠀⠀⠀ ⡔⠉⠀⠈⠢⡀⠀⠀⠀⠀⢀⠖⠉⠀⠈⢏⠽⢍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠣⣀⠀⠀⠀⢈⡲⠤⠤⠤⠼⣆⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠈⠒⠤⠄⠀⠀⠠⠜⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣦⣶⣶⣶⣶⣶⣤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣴⣶⡿⠿⠟⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠿⠿⢿⣶⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⠿⠛⠛⠛⠻⠿⣷⣤⣀⠀⢀⣤⣶⡿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠹⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡀⠀⠀⠀⠀⠀⠀⠀⣠⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠐⢸⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⢻⡀⠀⠀⠀⠀⠀⣰⠋⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣇⠀⠀⢸⣧⠀⠀⠀⠀⠀⣿⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣤⣠⣿⣿⠀⠀⠀⠀⠀⣿⣶⣀⣴⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣷⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠹⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠟⠁⠀⣤⣶⣶⣶⣄⠀⠙⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⠛⠛⠻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⣄⣄⡴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡆⠀ ⠀⠀⠀⠀⠀⠀⠈⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠸⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣰⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣶⣦⣤⣶⣶⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⣿⣿⣍⡁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⡿⡛⠉⠀⠈⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠏⠀⠀⠙⠻⢿⣶⣄⠀⠀⠀⠀ ⠀⠀⠀⣠⣾⣿⣯⣴⣶⡄⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⢰⣶⣤⡙⢿⣧⡀⠀⠀ ⠀⠀⣸⣿⠋⣼⣿⣿⣿⠃⠀⠀⠀⠀⠀⠈⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡾⠋⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⡎⢻⣿⡄⠀ ⠀⢰⣿⠇⠀⠘⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⠶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠁⠀⢹⣷⡀ ⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠳⠶⠶⣶⣤⣤⣀⣀⣠⣤⣴⣶⠶⠶⠟⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇ ⠀⠈⠻⣿⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣶⣿⡿⠛⠉⠻⢿⣿⣶⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣶⡿⠏⠀ ⠀⠀⠀⠈⠉⠛⠿⠿⢷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⡿⠿⠿⠿⠛⠉⠉⠀⠀⠀⠀⠀⠉⠙⠛⠿⠿⠿⢿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⠿⠿⠿⠛⠉⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣶⣀⣀⣶⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡠⣔⠮⠍⠛⠒⠒⠒⠚⠠⠽⣉⠙⠻⢿⣿⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡂⠕⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⢀⡹⠛⠋⠑⡄⠀⠀⠀ ⠀⣀⣀⣠⣼⠏⠀⠀⠀⠀⠀⠀⠀⠜⠑⣄⠀⠀⠀⠀⠀⠠⠊⠀⠀⠀⠀⣷⠀⠀⠀ ⣿⣿⣿⣿⡏⠀⠀⠀⢸⠉⢆⠀⠀⢸⣀⣸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⠀⠀ ⣿⣿⣿⣿⠃⠀⠀⠀⠸⣄⣸⡆⠀⠈⢿⣿⣿⠀⣠⣴⣶⣶⡄⠀⢀⣤⣾⣇⣀⣀⡀ ⣿⣿⣿⣿⣦⣄⠀⠀⠀⢻⣿⣿⠀⠀⠈⠻⡿⠀⠘⠛⠛⠋⠁⠸⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡿⢿⣿⣿⣷⢀⣀⠀⠻⠿⢀⣴⣶⣶⡆⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣦⣤⠛⣿⣿⣿⡿⠃⠀⠀⠹⣿⣿⣿⠇⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣦⡈⣿⣿⠇⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃ ⠉⠻⣿⣿⣿⣿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀ ⠀⠀⠀⠀⠛⢿⣿⣿⣿⣷⢦⣄⣀⡀⠤⣤⣤⣀⣀⣬⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⠀ ⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣦⣭⣷⣶⣿⣿⡿⠿⠟⠋⠁⠉⠛⠛⠿⠋⠁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠁⠀⢻⡄⠀⠀⠀⠀⠀⣸⠋⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣄⣠⣾⡧⠀⠀⠀⠀⠀⣿⣦⣀⣼⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⡧⠄⠀⠀⠀⠀⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⣿⡻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⠖⠋⠉⠉⠓⢦⡀⠀⢿⣤⣴⡿⠀⠀⠀⠀⠀⠀⠸⣷⣤⣼⠇⠀⢀⣠⠤⠀⠠⠤⣄⡀ ⠷⣄⠘⠀⠀⣢⣠⠟⠀⠀⠉⠋⠀⠰⣦⣀⣀⣀⣶⠀⠉⠉⠉⠀⠀⠸⣄⠀⠠⠶⠤⣀⡷ ⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠒⠚⠋⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠞⠛⠛⠉⠉⠉⠉⠉⠙⠛⢦⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠉⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠐⢹⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⢀⣀⣤⣤⠴⠶⠶⠶⠶⠶⡶⡾⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣴⠋⠀⠀⢀⡴⠾⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡼⠁⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠃You forgot something... ⠀⠀⢀⡼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣆⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⣰⣏🧠⣀⣀ ⠀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠀⠀⢸⡇⣠⠏⠉⠛⠛⠋⠁ ⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⢸⣿⠋⠀⠀⠀⠀⠀⠀ ⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⠀⠀⠀ ⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⣼⠃⣧⠀

⠀⠀⠀⠀⠀⠀⠀⢀⡀⡤⠒⠒⠀⠀⠀⠀⠒⠂⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⡖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠁⡢⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⠞⠂⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠈⢦⡀⠀⠀⠀⠀⠀ ⠀⠀⣼⡟⡀⠃⠀⠀⠂⠾⠒⠒⢲⠄⠀⢀⣶⠖⠒⠦⡄⠀⠀⠀⠻⡄⠀⠀⠀⠀ ⠀⡘⠁⡰⡁⠈⡴⡖⠉⣱⠀⠀⠀⣀⣀⣀⡁⠀⠀⢖⠒⠢⣄⠀⠀⢹⡀⠀⠀⠀ ⢀⠁⠀⠀⠣⠂⠉⡉⠉⠀⠀⠀⠀⣿⣿⣿⡇⠀⠀⠈⠋⠐⠛⠀⠀⠈⣇⠀⠀⠀ ⢸⠀⠀⠀⠀⠁⠀⠈⠐⠢⢄⠀⠀⡏⠈⠙⠁⠀⣀⠔⠃⠀⠀⢺⡀⢀⣿⠀⠀⠀ ⣸⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⢱⠀⠳⣀⡼⠀⡐⠁⠀⠀⠀⠀⢘⢃⣰⡿⠤⢄⡀ ⠀⠠⠈⠣⡉⠙⣦⣄⠀⠀⣠⠟⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⣠⡶⠟⠋⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠈⠉⢹⢷⣞⡁⠀⠀⠀⠀⠀⠀⠀⠈⠑⣲⡞⠉⠈⠠⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠆⠀⢀⡀⠹⢷⣄⠀⠀⠀⠀⠀⠀⢀⣾⡇⠀⠀⠀⠐⠀⠀⠀⠀⢀ ⣄⢀⢀⡀⠠⠨⠄⢘⡷⠆⠀⢻⣆⠀⠀⠀⠀⢠⢿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸ ⠙⢷⡀⡀⠀⠀⠀⠈⢁⠀⠁⣸⡿⠀⢀⠀⠀⣟⡊⢁⠀⢐⢰⡀⡈⢀⢀⢐⠎⠀ ⠲⠿⠿⠦⣄⡀⠀⠀⣀⣠⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡂⠀⠀⠐⣁⣮⠼⠿⠆⠀ ⠀⠀⠀⠀⠀⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠋⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠤⠤⠤⠤⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠲⡈⠉⠁⠢⡀ ⠀⠄⠂⠈⠁⠐⠂⠴⠉⠀⠀⠀⠀⠀⡖⠒⡄⠀⠀⢎⠑⡄⠀⠈⠢⡀⠀⢸ ⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣤⣿⠀⠀⢸⣶⣿⠀⠀⠀⠘⡄⡜ ⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡟⣿⠆⠀⠀⢻⣻⠇⢀⠤⣀⠘⡅ ⠀⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠀⠉⢊⣠⣴⣶⣦⣥⡀⠘⠦⠈⠀⢡ ⠀⠀⠀⠑⢢⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣴⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⢸ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠈ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⡿⠋⠉⠀⠀⠀⠉⠻⣿⣿⡇⠀⠀⡆ ⠀⠀⠀⠀⢰⣧⡀⠀⠀⠀⠀⠀⠀⠰⡇⠀⠀⠀⠀⠀⠀⠀⢘⣿⠇⠀⡜⠀ ⠀⠀⠀⠀⣼⣿⣷⡄⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⢀⣼⡟⢀⠎⠀⠀ ⠀⠀⠀⠀⢹⣿⣿⣿⣦⣄⠀⠀⠀⠀⠘⢿⣦⣴⣤⣴⣿⡿⢋⣠⡏⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣶⣤⠤⠄⠀⠉⠉⢍⣩⣴⣶⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⡤⠤⠴⠶⠶⠶⠦⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠶⠚⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣆⠀⠀⠀⠀ ⠀⣰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀ ⢀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣶⡀⠀⢹⡆⠀ ⢸⡇⠀⠀⠀⢰⣷⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀ ⢸⡇⠀⠀⠀⠈⠉⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⢸⡆ ⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⠤⠴⠶⠛⠛⠉⠉⠁⠈⡇ ⢸⡇⠀⠀⢀⣤⣤⠶⠶⠒⠛⠛⠉⢉⣁⣠⣤⣤⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇ ⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃ ⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀ ⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠼⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠛⠲⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠙⠛⠒⠒⠶⠶⠶⠚⠋⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⣠⢤⠀⠀⠀⠀⣠⢤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣅⣨⣇⠀⠀⠀⣇⣀⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⣿⡷⠀⠀⠀⣿⣿⣿⠀⠀⠀⠀⠀ ⢠⠒⠀⠒⢤⠘⢯⡽⠁⠀⠀⠀⢷⣭⠇⢀⠤⠀⠠⢄ ⠈⠒⠀⠘⠊⠀⠀⠀⠈⠒⠒⠊⠀⠀⠀⠈⠂⠭⠭⠞

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠟⠋⠉⠉⠻⣷⣆⣀⣀⣤⣤⣤⣤⣀⣀⡀⢀⣴⣿⠿⠿⢿⣿⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡏⠀⢀⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⡀⣀⠈⢿⣿⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣾⣿⣿⣿⣿⣿⣿⣿⡿⠛⢉⣿⡙⠛⢿⣿⣿⣿⣿⣿⣿⣿⣄⣼⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠰⠿⡅⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⡁⣉⣿⣿⣿⣿⣷⣤⣀⣀⣀⣠⣾⣿⣿⣿⣿⣋⢈⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡿⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠊⠉⠟⠛⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⢿⠯⠁⠁⠀⢀⣤⣤⡄⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠈⠙⠿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⣿⡀⣹⡇⠀⣠⣶⣤⡀⣼⠋⢹⣿⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⡴⠖⠻⠋⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⣿⡇⠀⣿⣦⣿⠃⢿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⠀⠀⠀⠀⠀ ⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠋⠀⠀⠈⠉⠁⠀⠘⠻⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠦⣄⠀⠀⠀ ⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⠠⠆⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀ ⠰⡇⠀⠀⠀⠀⠀⣀⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆ ⠀⢷⠄⠀⢀⡶⠋⠁⠀⠀⠀⠀⠉⠳⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠞⠋⠉⢩⠈⠉⠉⠓⢶⣄⠀⠀⠀⠀⠀⠈⡇ ⠀⠈⢷⣠⡟⠀⠀⠀⠀⠀⠀⢾⡇⠀⠀⠹⣦⠀⠀⠀⠀⠀⠀⠀⣠⠟⠳⡆⠀⢀⣀⠼⠁⠀⠀⠀⠀⠘⣦⠀⠀⠀⠀⣸⠇ ⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⢸⣇⠀⠀⠀⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⢀⣴⠏⠀ ⠀⠀⠀⠘⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⠀⠀⠀⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣘⣿⣠⠴⠟⠁⠀⠀ ⠀⠀⠀⠀⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣏⣀⡀⠀⠀⠀⢘⣷⣄⣀⠀⠀⠀⠀⢀⣀⠴⠚⣋⣴⠟⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠻⢶⣗⣀⠀⠀⠀⣠⣴⡾⠏⠀⠈⠉⠉⠉⠉⠉⠈⠛⢿⣤⣀⣀⣀⣀⣡⣤⠶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣼⠟⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⠛⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠃⠆⠘⣿⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⡀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣀⣀⣼⣿⣇⠀⠀⠀⠀⠀⠀⢸⣿⣄⣀⣀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡇⡀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⡯⠅⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡼⣿⣿⢳⡟⠁⠀⠀⠀⠀⠀⠀⢸⣷⡹⣿⡿⣹⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠖⠋⠉⠉⠉⠙⠲⣦⡀⠀⢻⣷⣄⣠⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣄⣰⣿⠇⠀⠀⢀⣠⡴⠶⠶⠶⢤⣄⡀⠀ ⠸⣏⡀⠒⢶⠀⠀⢠⠀⢸⣷⠀⠀⠙⠻⠟⠋⠀⢠⡀⠀⠀⠀⠀⣰⡄⠈⠛⠛⠛⠃⠀⠀⢰⣏⠀⢀⣀⣠⣀⡀⠀⢻⡄ ⠀⠉⠛⠦⠤⠤⠤⠼⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠘⠻⠷⠶⠶⠾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣄⣁⣉⣉⣩⣶⠟⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣶⣶⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣶⣶⣶⣶⣶⣶⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠛⠉⠉⠉⠉⠉⠙⠻⢷⣦⣀⣀⣴⣶⡾⠿⠟⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⠿⢿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⠿⠟⠋⣉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠿⣷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⠋⠁⠀⠀⢀⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⡀⣀⣠⣴⣶⣶⣶⣶⣤⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⣿⠃⠀⠀⠀⠀⠀⣰⣿⡿⠋⠀⠀⠀⠀⢀⡾⣿⠉⣷⣄⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣾⠶⠀⠀⠀⠀⠀⠀⠀⣨⣿⣿⠟⠛⠉⠉⠁⠈⠉⠙⠻⢿⣶⡄⠀ ⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠀⢀⣼⡿⠋⠀⠀⠀⠀⠀⠀⣾⠀⣧⠀⣿⣿⠇⠀⠀⠠⢶⡶⡿⠉⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡆ ⠀⠀⠀⠀⠀⠈⣿⡇⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠻⠶⢋⡿⠀⠀⠀⠀⣾⠹⡇⣀⡟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧ ⠀⠀⠀⠀⠀⠀⢹⣿⡀⣰⣿⠋⠀⣀⣀⣀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣾⠁⠀⠀⠀⢀⡟⠀⠙⠉⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⠃⠀⢸⡏⠉⠙⢷⣄⠀⠀⣿⠀⠀⠀⣼⠃⠀⠀⠀⠀⢸⡇⠀⠀⠀⣰⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇⠀⠀⠈⠻⣄⠀⠀⢻⡄⠀⠸⣧⣀⡾⠋⠀⠀⠀⠀⠀⢸⡇⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏ ⠀⠀⠀⠀⠀⠀⢀⣿⡏⠀⠀⠀⠀⠀⠈⠛⠒⠛⠀⠀⠀⢈⣭⡶⠶⠦⢤⣀⡀⠀⠀⢿⣀⡶⠋⠀⣤⠶⠖⠛⠷⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠇ ⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡶⠋⠁⠀⠀⠀⠀⠉⠙⢶⣄⠀⠀⠀⠀⢸⣇⠀⠀⠐⢀⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠏⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢷⣄⠀⠀⠀⠛⠶⠶⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⣀⣴⠶⠚⠛⠒⠻⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⣠⠾⠋⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⢿⡟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢁⣾⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣴⣿⠟⠁⠸⣿⡆⠀⠀⠀⠀⠀⠀⠈⣷⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣾⡟⠁⠀⠀⠀⢻⣷⡄⠀⠀⠀⠀⠀⠀⠙⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠋⠻⣷⣦⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⠏⠀⠀⠀⠀⠀⠀⠻⣿⣆⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡟⠁⠀⠀⠈⠻⣷⡄⠀⠀⠀⠀ ⢠⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⣄⠀⠀⠀⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⠋⠀⠀⠀⠀⠀⠀⠘⢿⣆⠀⠀⠀ ⢸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠘⠷⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣇⠀⠀ ⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣦⣄⠀⠀⠀⠈⠛⠷⠶⣤⣀⣤⣤⠶⠟⠁⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡆⠀ ⠘⣿⣇⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⣶⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣶⣾⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡇⠀ ⠀⠘⢿⣷⣦⣀⡀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣶⡾⠿⠋⠉⠙⠛⠿⠿⠿⠶⠶⠶⠿⠿⠿⠿⠿⠿⠛⠙⠿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡷⠀ ⠀⠀⠀⠈⠙⠻⠿⠿⢶⣶⡾⠿⠿⠿⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⣦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣷⣶⣤⣄⣀⣀⣀⣀⣀⣀⣀⣠⣶⡿⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠻⠿⠿⠟⠛⠛⠉⠉⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣶⣾⣿⡿⠿⠿⠿⠿⠿⠿⠿⣿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣾⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⠙⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⣿⠛⠛⣛⢦⡄⠙⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠏⠀⣰⣿⣧⣴⣿⡆⠙⡆⢸⣿⣶⣶⣤⣤⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣾⡿⠿⢿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢰⣿⡿⣿⡿⣿⣿⠀⢸⢸⣿⡏⠉⠉⠙⢿⣷⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣴⣿⠏⠀⠀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⢀⣀⣀⣄⣸⣧⡼⠿⠧⢾⣤⣽⣿⣡⣾⣼⣿⡃⠀⠀⠀⠀⣿⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣾⣿⡿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣀⣤⠶⠞⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠻⠶⣦⣄⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣾⣿⠋⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⠙⠻⣷⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⣿⠀⠀⠀⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠓⠲⠶⠤⠤⠤⠤⠶⠒⠒⠒⠒⠚⠋⠉⠉⠉⠉⠉⠉⠹⣿⣿⣿⣿⣿⣶⣾⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⢿⣿⡀⠀⠀⠈⢿⣷⣄⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⢻⣿⣿⣿⠿⠿⠛⠛⠁⠀⠀⠀ ⠀⠀⠀⠀⠘⣿⣷⡀⠀⣀⣴⠿⢿⣷⣦⣀⣀⣠⣾⡿⠃⠀⠀⠀⠀⠀⠀⢠⡟⠉⢻⡆⠀⠀⠀⢠⡏⠉⢿⡆⠀⠀⠘⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣿⣿⠿⠋⠁⠀⠀⠈⠙⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡁⠀⢸⡇⠀⠀⠀⣾⡇⠀⢸⣷⠀⠀⠀⣿⣿⠀⢀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⣠⣼⡇⠀⠀⠀⣿⣧⣀⣾⣿⠀⠀⢀⣼⣿⡿⠿⠿⠿⢿⣶⣄⠀⠀ ⠀⢠⣿⡟⠋⠀⢻⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⡇⠀⠀⠀⢻⣿⣿⣿⡇⠀⣠⣾⠟⠉⠀⠀⠀⠀⠀⠙⢿⣷⠀ ⢠⣿⡏⠀⠀⠀⠘⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⠁⠀⠀⠀⠈⣿⣿⡿⢁⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇ ⢸⣿⠁⠀⠀⠀⠀⢹⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠈⠉⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡿ ⠘⣿⡇⠀⠀⠀⠀⠀⢻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡷⠀⠀⣰⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠇ ⠀⢿⣧⠀⠀⠀⠀⠀⠀⠹⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⢠⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠀ ⠀⠘⣿⣇⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⡇⠀ ⠀⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡟⠀⠀ ⠀⠀⠀⠻⣿⣄⠀⠀⠀⠀⠀⠀⠀⣰⣿⠟⠻⢿⣿⣶⣦⣤⣀⣀⣀⣀⣀⣀⣠⣤⣴⣶⣿⣿⠿⠋⠙⢿⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠙⢿⣦⣄⡀⠀⠀⣀⣴⣿⠏⠀⠀⠀⠀⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠙⢿⣷⣦⣤⣄⣀⣠⣤⣾⡿⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠛⠿⠿⠿⠟⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⣰⠛⣉⣳⣤⣤⣤⣤⣤⣶⠛⠳⡄⠀⠀⠀ ⠀⠀⠀⠀⣹⣾⣿⣿⣿⠋⢿⠙⣿⣿⣿⣷⡏⠀⠀⠀ ⠀⠀⢀⣾⣿⣿⣶⣿⣿⣷⣶⣾⣿⣿⣾⣿⣿⡄⠀⠀ ⠀⠀⢸⣿⡿⠟⠋⡩⡄⠀⠀⢀⣈⠉⠛⢿⣿⣿⠀⠀ ⢀⠤⠚⠁⠀⠀⠀⢷⡇⠺⠷⢲⡾⠀⠀⠀⠈⢿⠀⠀ ⡎⠀⠀⠀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢢ ⢣⡠⠊⠀⠀⡉⠢⡀⠀⠀⠀⡤⡊⠉⠍⠉⠒⡄⠀⢈ ⠀⢁⠀⠀⠀⠉⠀⢴⠀⠀⢘⠀⠀⠀⠀⠀⡀⣞⠠⠊ ⠀⠈⠳⢄⣀⣀⡤⠚⠒⠒⠚⠲⢄⣀⡠⠥⠊⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡴⠖⠛⠉⠉⠀⠀⠀⠉⠉⠛⠳⠦⣄⣀⣀⣀⣀⡀⠀⠀ ⠀⠀⠀⠀⠀⣠⠞⣉⣠⣤⣤⠤⠤⠤⠤⣴⣶⣶⣶⣶⣿⠛⠉⣿⣿⣿⡟⢷⡀ ⠀⠀⠀⣠⣾⣷⣿⣿⣿⣿⣿⣦⠀⠀⠀⠈⣿⣿⣿⣿⣿⣇⠀⠸⣿⣿⡇⢸⡇ ⢠⣴⣿⣿⣿⠿⠿⠿⣿⣿⣿⣿⣷⡀⠀⣾⣿⣿⡏⢿⣿⣿⣆⠀⠹⡿⣄⡾⠀ ⠈⣿⠟⠁⠀⠀⠀⠀⠸⣿⣿⣿⣿⣷⡀⠘⢿⣟⡀⢘⣿⣿⣿⣠⠞⠁⣿⠁⠀ ⣼⠃⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣿⣧⠴⠋⠀⠉⠉⠀⠈⠉⠁⠀⠀⢸⠂⠀ ⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣈⣭⣟⣛⣹⣿⣿⣶⣤⠀⠀⠀⠀⠀⠀⣼⠀⠀ ⠘⠷⣄⣀⣀⣀⣀⠤⢄⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣰⡏⠀⠀ ⠀⠀⠀⠘⢧⡀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣰⠏⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⣦⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢀⣠⡾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣃⣤⣶⣿⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⠿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣿⣿⣧⣶⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⡤⠤⠶⠶⠶⠤⠤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠉⠀⠀⢀⣠⠴⢶⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⡓⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠋⠀⠀⠀⠀⠀⠈⠀⠀⠀⠙⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡿⠛⠒⠙⢷⣄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠙⣧⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⣠⠖⠉⠁⠀⠀⢩⣿⣶⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠖⠦⣄⡀⠈⢷⡀⠀⠀⠀ ⠀⠀⠀⣠⠟⠁⠀⠀⠀⠀⠀⢀⣞⣡⠴⠒⠛⠋⠉⠉⠛⠛⢻⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠯⢤⣀⣀⣀⣾⣿⣦⣈⣷⡀⠀⠀ ⠀⠀⣰⠏⠀⠀⠀⠀⠀⠸⠟⢿⣉⡀⠀⠀⠀⠀⠀⠀⠀⠴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠈⠉⢳⣻⣇⠀⠀ ⠀⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⠤⡀⠀⠀⠠⠟⠀⣹⡄⠀ ⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀ ⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠋⠁⠀⠀⠀⢀⣀⣤⠤⠤⡤⠤⣄⡀⠈⠓⢦⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣏⠀⠀⣀⣠⢴⡚⣹⡀⣹⣀⣰⡇⠀⡏⢹⢦⡀⢸⡄⠀⠀⠀⠀⠀⠀⠀⢸⡀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠙⠛⢿⡙⣌⣷⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣼⢾⣿⡇⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠀⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠇⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⢹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠻⠯⠿⠽⠿⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃ ⠈⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠈ ⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀ ⠀⠀⠘⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀⠀ ⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⠻⣖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣤⣤⡤⠤⠶⠚⠋⢁⡀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⢶⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠟⠛⠁⠀⢸⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠾⠛⠁⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠖⠛⠉⠉⠉⠉⠉⠉⠉⠛⠶⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡾⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠶⣤⣀⠀⠀⠀⠀⣀⡴⠶⠒⢾⡏⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠒⠒⠿⠶⢦⣤⡿⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠃⠀⠀⠀⠀⠀⢠⡾⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⡤⠤⠶⠖⠒⠒⠒⠒⠶⠦⣤⣤⣤⣀⠀⠀⢧⠀⠀⠀⠀⠀⠀⣠⣴⣏⣸⠇⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⡟⠀⢀⣠⡤⠶⠒⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠺⢷⣤⣀⣠⡴⠚⠉⠀⢨⡏⠀⠀⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡾⠗⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣿⠁⠀⠀⠀⢠⡟⠀⠀⠀⠀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⡤⠤⠤⠤⠶⠖⠒⠒⠒⠒⠒⠒⠒⠲⠦⠤⠤⢤⣀⣀⠀⠀⠀⢻⡄⠀⠀⢠⡟⠀⠀⠀⢀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡇⠀⣀⡤⣶⠖⠚⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢰⣶⠂⠀⠀⠀⠀⠀⠀⠀⠀⢠⡶⢯⠉⠓⢤⣸⠇⠀⢠⡟⠀⠀⠀⣠⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⣰⡟⠀⠈⢳⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⠘⣇⠀⢸⡏⠀⢠⡟⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣹⡇⠀⠀⢸⠈⠛⢦⡀⠀⠀⠀⢠⡴⠋⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠹⣦⣼⣿⣻⣛⡲⢤⣀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣤⠾⢿⡇⠀⠀⢸⣧⣀⣠⡇⠀⠀⢀⣿⣄⣀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⣼⢿⣿⣿⠷⢬⣙⢦⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⡾⠁⠀⢸⡇⠀⠀⢸⣿⣿⣿⡇⠀⠀⠸⢸⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⡧⣿⢼⠁⠀⠀⠈⣇⣿⣧⣀⡤⠶⠶⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢸⣇⠀⠀⠸⡇⠀⠀⠘⣿⣻⣿⠁⠀⠀⠀⠸⣿⢿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡴⣷⡹⡼⣆⡀⢀⣰⢿⣿⠃⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢿⡀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠋⠀⠈⠳⢯⣳⣿⣿⣾⡿⠃⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠙⠛⠚⢿⡇⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⣸⢷⣄⣀⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣠⠶⠖⠛⠿⣆⠀⠀⠀⠀⠀⠹⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⠶⠶⢤⣄⣹⣦⣄⣀⢀⣀⣠⠾⠋⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⠏⠁⠀⠀⠀⠀⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠁⠀⠀⠀⠀⠀⢸⡏⠀⢀⣿⣍⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠋⠀⠉⠳⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢿⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣶⣤⣀⠀⠀⠀⠀⠀⣠⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠙⠲⢤⣤⣀⡀⠀⠀⠀⢀⣀⣤⡶⠛⠉⠉⠉⠉⠉⠉⠉⠉⠙⢮⡳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢉⠙⠓⠒⠒⠶⠶⠤⠶⠒⠒⠋⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣀⡤⠴⠒⠛⠉⠉⠉⣉⡉⠩⡉⠩⣉⡙⠒⠲⠤⣤⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⡴⠛⣡⠔⠊⠁⠀⣠⠔⠋⢁⠔⠁⠈⢢⠀⠈⠑⠢⣄⡀⠉⠓⢦⡀⠀⠀⠀ ⠀⠀⢀⡾⠋⡴⠋⠀⠀⢀⡴⠊⠀⠀⣠⠋⠀⠀⠀⠀⢣⠀⠀⠀⠀⠉⠲⣄⠀⠙⢦⠀⠀ ⠀⢠⠟⢀⠎⠀⠀⠀⣠⠊⠀⠀⠀⣰⠃⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠈⠳⣄⠈⢧⠀ ⠀⡟⢠⠏⠀⠀⠀⡼⠁⠀⠀⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠈⠆⠸⡇ ⢸⠃⡞⠀⠀⠀⣸⠁⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⡇ ⣾⢠⡇⠀⠀⢠⡇⠀⠀⠀⠀⠀⠃⠀⢠⣴⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⠲⡾⠿⠃ ⣿⠸⠇⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠞⠁⠀⠀ ⠙⠓⠒⠒⠒⠒⠶⣖⡒⠒⠒⠒⠒⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⠤⠉⠛⠲⠦⡄⠘⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡆⣷⠀⠉⠉⠛⠛⠉⠉⠙⡇⠀⠙⢯⡉⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⠞⠉⠁⢀⣀⣠⠤⠤⠄⠒⠒⢲⠇⠀⠀⠀⠀⢻⠳⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⠁⢰⠖⠚⠉⠀⢀⣀⣠⣤⠤⠤⣼⠀⠀⠀⠀⠀⢸⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡸⣧⣈⣠⠤⠖⢺⡋⠀⢠⠇⠀⠀⡏⠀⠀⠀⠀⠀⢸⠟⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⡞⠀⠀⠀⣧⠀⠀⠀⠀⢀⡼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢀⡇⡄⠀⠐⠘⠦⣀⣀⡤⠞⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣇⣸⣃⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢹⣿⣿⡟⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⠀⢘⠉⠋⠠⡼⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⢸⠀⠀⠈⡇⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⡟⠀⠀⠀⡇⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⡇⠀⠀⠀⢧⠘⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⠇⠀⠀⠀⢸⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⠚⠉⠉⠉⠉⠛⠲⣄⡀⣀⡤⠴⠒⠒⠦⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⢀⡠⠖⠒⠛⠛⠛⠛⠛⠛⠳⢤⣀⠀⠤⠶⠞⠻⠷⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⠤⠤⣀⡀⠀⠀⣼⠃⠀⠀⠉⠀⢀⣠⠤⢒⣊⠭⠭⠭⠭⠽⠭⣱⣦⡤⢔⣒⣈⣭⣭⣍⣑⣶⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠚⠁⠀⠀⠀⠀⠈⠑⣶⠇⠀⠀⠀⠀⣴⠯⠐⠚⠉⠀⠀⠀⠀⠀⢀⣄⠈⢻⡏⠉⠀⠀⠀⠀⠀⢠⢏⠻⡆⠀⠀⠀⠀⠀⠀⠀ ⢰⠁⠀⠀⠀⠀⠀⠀⠀⣰⠟⠀⠀⠀⠀⠀⠘⣷⢦⡀⠀⠀⠀⠀⠀⠀⢸⣾⠀⢀⣧⠀⠀⠀⠀⠀⠀⢸⣾⠀⡇⠀⠀⠀⠀⠀⠀⠀ ⢸⡀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠈⠢⣙⢦⣀⠀⠀⠀⠀⠈⠛⢀⣼⣿⠳⢤⣀⣀⣀⣀⣘⣿⣴⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⢳⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣀⠈⠑⠲⠭⣍⣐⣒⣒⣾⠿⠃⠈⠻⣯⡙⠛⢻⣿⣿⣟⣁⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠱⣄⠀⠀⠀⡇⠀⠀⠀⠀⣠⡆⢀⣀⠀⠀⠈⠉⠙⠒⠒⠒⠒⠛⠉⠀⠀⠀⠀⠀⠈⢿⡋⠉⠉⠉⠻⡀⠀⠀⠉⠉⠒⠢⣄⠀ ⠀⠀⠀⠀⠑⠦⣀⡇⠀⠀⠀⠠⠟⣰⡏⠉⠙⠒⠦⠤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣀⡠⢿⠄⠀⠀⠀⠀⠀⠈⢣ ⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠹⣤⠹⣿⣶⣤⣄⣀⠀⠉⠉⠓⠒⠢⠤⠤⠤⠤⠤⠤⠶⠒⢚⣉⣥⠴⠋⠀⠀⠀⠀⠀⠀⠀⡼ ⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⠈⠢⡈⠙⠿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⠒⠛⠛⠿⣍⠳⣄⠀⠀⠀⠀⠀⣀⠤⠊⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡷⣄⠀⠀⠀⠀⠀⠀⠈⠳⢄⡈⠙⠻⢿⣭⣛⠻⢿⣿⣿⣿⣿⣿⠇⠀⠀⢀⣹⠇⢸⡗⠒⠒⠉⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡏⠈⢷⣦⣀⠀⠀⠀⠀⠀⠀⠉⠲⢤⣀⡀⠉⠙⠓⠛⠛⠛⠛⢓⣒⣒⣋⣉⣁⣤⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⢸⠀⣌⡙⢷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠲⠤⠖⢚⣩⡭⠶⠖⣶⠶⣿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡿⡖⠁⡁⠀⠀⡉⠙⢻⣶⠦⠤⠤⠤⠤⠤⠤⣠⡴⠞⠉⠐⠐⠉⠁⠉⠙⠦⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠉⠑⠀⠀⢐⣼⠇⠀⠀⠀⠀⠀⢀⣴⠋⠔⠀⠀⠀⠀⡀⠈⠈⠀⠀⠀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣦⡁⠀⢀⣈⡼⠋⠀⠀⠀⠀⠀⢀⡾⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⢸⣇⢘⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⡀⠀⠀⠀⠀⣀⣠⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠋⠉⠙⠛⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡿⠋⠀⠀⠀⠀⠙⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿ ⡟⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿ ⡇⠀⠀⠀⠀⠀⠀⢀⠎⠀⢀⠀⠀⣤⠴⠶⢤⣄⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿ ⣿⣄⠀⠀⠀⣀⣴⣧⠴⡶⠛⠀⠀⠁⠀⠀⠀⠈⠷⡄⠀⠀⠀⠀⠀⠰⠀⠈⠙⢿ ⣿⣿⡇⠀⡼⠻⠗⣾⣷⠆⡄⠀⠀⡠⠚⣿⣿⠉⡓⠁⠀⠀⠀⠀⠀⠀⡇⠀⠀⠈ ⣿⣿⡇⡈⡀⢀⠑⠈⠉⠂⠁⠀⠀⠈⠂⠨⠵⠾⠃⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⣿⣿⣷⠀⠐⠀⠑⠀⢀⠀⠀⠰⠆⠀⠀⠀⠀⠤⠂⠀⠀⠀⠀⠀⠀⢀⠀⢀⣠⣾ ⣿⣿⣿⣧⢀⣀⣀⣀⠉⠑⠤⠤⠤⢴⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡟⠉⠑⢻ ⣿⣿⣿⣿⠍⠀⠀⠀⠉⠒⢤⡈⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡟⠀⠀⠀⢀ ⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣷⣦⣶⣿⣿ ⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⢀⣼⣿⣆⣀⣀⣀⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣷⣂⣠⣀⣀⣤⣲⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⢀⣴⠿⠛⠛⢷⣤⡀⣀⣀⣀⣀⣀⡀⠀⣠⣶⠿⢶⣦⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⡏⢀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⠙⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⠟⠁⣿⡇⠉⢿⣿⣿⣿⣿⣿⣶⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⡟⢛⣿⣿⣿⣦⣀⠁⠁⣠⣾⣿⣿⣿⠛⣿⣿⣷⣄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⡿⠿⠋⠉⠁⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⢿⣿⣿⣿⣿⣿⡄⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⡿⠛⠉⠁⠀⠀⣾⢙⣷⠀⣠⣀⠀⡰⠲⣦⠀⠀⠀⠈⠛⢿⣿⣿⡇⠀⠀⠀ ⠀⠀⣠⠔⠚⠋⠀⠀⠀⠀⠀⢀⣿⣿⡿⠸⣿⣼⠇⣿⣾⡿⠀⠀⠀⠀⠀⠀⠙⣿⡇⠀⠀⠀ ⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⣀⠀⠈⠉⠀⠀⠀⠀⠀⠈⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠑⠲⣄⠀ ⣼⠀⠀⠀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠁⠀⠀⠀⠀⠀⠀⠀⠘⣆ ⠸⡄⠀⣠⠞⠉⠁⠈⠉⠑⠢⣄⠀⠀⠀⠀⠀⠀⠀⢀⡤⠖⠊⠉⡉⠉⠓⠢⣄⠀⠀⠀⠀⢹ ⠀⠙⢶⠁⠀⠀⠀⠀⠹⣆⠀⠘⢦⠀⠀⠀⠀⠀⡴⠋⠳⠀⠠⠔⠁⠀⠀⠀⠈⣧⠀⠀⢀⡞ ⠀⠀⢸⡀⠀⠀⠀⠀⠀⠈⠃⠀⢸⡇⠀⠀⠀⢸⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⢀⡴⠋⠀ ⠀⠀⠀⢻⣄⠀⠀⠀⠀⠀⠀⠀⣸⣇⣀⣀⣀⣈⣧⣀⡀⠀⠀⠀⣀⠠⢒⣠⠞⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠙⠻⢧⣄⣀⣠⡴⠟⠁⠀⠀⠈⠁⠀⠀⠙⠷⠤⠤⠤⠤⠾⠛⠁⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠶⠟⠛⠛⠛⠷⢶⣄⡀⠀⠀⠀⠀⢀⣀⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠁⠀⠀⢀⣀⣀⣀⣀⣤⣤⣭⣷⣤⡖⠛⠉⠁⠀⠀⠈⢉⣳⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠏⠀⠀⣠⠴⠚⠉⠁⠀⠀⠀⠀⠀⣀⣈⣉⣙⣳⣦⣄⡀⠒⠛⠛⠋⠙⠛⠛⢳⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣠⠤⢤⣀⣀⠀⠀⠀⢀⡾⠃⠀⠀⠀⠁⠀⠀⢀⣠⡤⠖⢚⣉⡭⠭⠥⠤⠤⠼⠮⣭⣙⣶⣤⠴⢖⣚⣉⣉⣩⣭⣍⣉⣙⡲⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢠⠴⠋⠉⠀⠀⠀⠀⠉⠙⠲⣤⣼⠁⠀⠀⠀⠀⠀⢠⣴⣋⣥⠴⠚⠉⠁⠀⠀⠀⠀⠀⠀⢀⠀⠙⢿⣷⠚⠉⠉⠀⠀⠀⠀⠀⠀⢉⡛⠻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⡏⠀⠀⠀⠀⠀⠀⢸⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⡇⠀⠈⢿⠀⠀⠀⠀⠀⠀⠀⠀⠠⣏⣹⠀⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠁⠀⠀⠀⠀⠀⠀⠀⠘⣏⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡇⠀⠀⣼⣇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣇⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠦⣌⠳⢦⣀⡀⠀⠀⠀⠀⠀⠙⠃⣠⣴⣿⣏⠛⠦⣤⣀⣀⣀⣀⣀⣘⣯⣶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⣆⠀⠀⠀⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢦⣀⠀⠈⠙⠲⢬⣍⣙⡓⠒⠒⠒⢒⣿⡿⠋⠀⠙⢷⣍⠛⠚⠳⠽⣿⣿⣯⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠘⢦⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠉⠛⠳⠦⠤⣤⣄⣉⣩⣽⠿⠟⠛⠉⠀⠀⠀⠀⠀⠙⣿⡶⠶⠚⠛⠛⠻⣞⠛⠛⠛⠛⠓⠲⠤⣄⣀⠀⠀⠀ ⠀⠀⠈⠙⢦⡀⠀⠀⢸⠁⠀⠀⠀⠀⠀⣾⡏⣠⣶⢦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠀⠀⠀⠀⠀⠙⣦⡀⠀⠀⠀⠀⠀⠀⠈⠓⣄⠀ ⠀⠀⠀⠀⠀⠉⠓⠦⣼⠀⠀⠀⠀⠀⠘⠉⢱⡿⠁⢀⡀⠉⠙⠓⠲⠦⢤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⠾⣋⡇⠀⠀⠀⠀⠀⠀⠀⠀⠈⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠘⣧⡆⠹⣿⣿⣶⣤⣄⣀⡀⠀⠈⠉⠙⠛⠒⠶⠶⠦⠤⠤⠤⠤⠤⠴⠶⠶⠚⠛⢉⣁⣤⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠈⠟⠿⣿⣿⣿⣿⣿⣷⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠴⠶⠶⠿⣿⡛⠛⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠴⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⢦⡀⠈⠙⠿⣿⣟⣛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠈⠻⣦⠈⢻⣄⣀⣀⣠⠤⠤⠖⠋⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣟⢳⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⣄⡀⠀⠉⠛⠷⢦⣤⣉⣛⢿⣿⣿⣿⣿⣿⠟⠉⠀⣀⣀⣤⡶⠟⠁⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⢈⠸⣿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠳⢦⣄⣀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠓⣚⣛⣋⣉⣉⣀⣀⣤⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢸⡆⢠⡈⠻⢿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠓⠶⠦⣤⣤⠴⠖⢛⣉⣩⣴⡾⠶⠶⣶⣿⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣼⣥⡬⠹⠂⠠⠉⠙⠛⠓⣶⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠞⢋⡙⠤⠶⠨⠺⠳⠢⣏⠙⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣼⠀⠠⠄⠄⡀⠐⠂⢄⡀⣼⡟⠀⠉⠉⠉⠙⠛⠛⠛⢛⣿⠟⣉⠀⠂⠀⠀⠀⠀⠀⡄⡄⠀⠈⠁⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠂⢀⡀⠀⠈⠈⢀⢜⣰⡿⠁⠀⠀⠀⠀⠀⠀⠀⣰⢿⠁⠲⠃⠀⠀⠀⠁⠀⠀⡃⡂⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣶⣮⠁⠀⠄⢘⣀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⣰⠟⢢⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⠀⠀⢂⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⠶⠶⠾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡋⠱⠄⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⢰⠀⣤⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⣼⠩⠀⠀⠀⠀⠀⢀⠀⠀⠐⣀⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣤⣄⣀⣀⣀⣠⣤⣴⠶⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠈⠉⠉⠉⠁⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣷⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢿⣿⣿⣿⡿⠟⠋⢁⣀⠀⠐⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⢴⣶⠾⠿⠿⠿⠶⢻⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣏⡹⣗⣚⣫⠅⠠⣾⣿⣿⣁⠀⠈⠛⢿⣿⣿⣿⣿⠇⣏⠩⢻⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣍⠂⠀⠀⣴⡾⢻⣝⣛⡛⠦⠀⠀⠀⠙⢿⣿⡟⠀⣿⣟⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣽⣦⠀⠉⠂⢻⣿⣿⡿⠂⡀⠀⠀⠀⠀⠀⠀⠀⠛⠉⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡯⢹⡀⠀⠀⠙⠒⠶⠀⠈⠁⠀⠀⠀⢱⠀⠀⠸⣤⢼⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡀⡼⠀⠰⠚⢻⢦⣀⠀⠀⠀⠀⠀⠀⢨⠇⠀⠀⠀⢸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣧⣄⡴⠻⠛⠀⠀⣠⣤⡀⠀⠀⠀⡞⠀⠀⠀⠀⢸⠳⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣏⢳⣴⣶⠖⢋⡅⠀⠉⠀⠀⡞⠁⠀⠀⠀⣠⠞⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢶⡉⠉⠉⠁⠀⠀⢀⡼⠊⠀⠀⠀⣠⠞⠁⠀⠀⢸⣿⣿⣶⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠖⠋⣿⢦⣄⣀⣠⡴⠋⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠔⢋⡟⠁⠀⢠⡏⠀⠠⣝⠓⠒⢲⣦⣾⡋⠀⠀⠀⠀⠀⠀⣼⣿⣿⠿⠿⢿⣿⣿⡟⠛⠉⠉⠀⠈⠙⠒⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⠤⠖⠋⠁⠀⢀⡾⠀⠀⠀⠸⡇⠀⠀⠈⠓⡴⠛⡇⠀⣽⣗⠤⢄⠀⠀⣰⣿⣿⠏⠀⠀⠀⠀⠹⣧⠀⡀⠀⠀⠀⠈⠙⠢⠬⢻⣿⣷⣦⡀⠀⠀⠀ ⠀⢠⣶⡞⠉⠁⠀⠀⠀⠀⠀⡼⠁⠀⠀⠀⠀⣷⠀⢀⣠⠞⠁⢀⡗⢺⡁⠘⢧⡀⠀⡼⠃⣿⡿⠀⠀⠀⠀⠀⠀⢹⣦⣥⡀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣷⡄⠀⠀ ⢠⠏⣿⠃⠀⠀⠀⠀⠀⠀⠐⢧⣄⡀⠀⠀⠀⠸⣦⣿⠁⠀⠀⣼⠀⠈⣇⠀⠀⠙⠞⠁⢀⣿⡇⠀⠀⠀⠀⣤⣴⣾⣿⣿⠿⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣿⣷⠀⠀ ⣸⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⣬⠿⠃⠀⠀⠀⠀⣿⠀⢀⣼⣿⠀⠀⣿⠀⠀⠀⠀⠀⢸⣿⠁⠀⠀⠀⠀⠉⠻⢿⡉⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⡇⠀ ⡇⠀⢿⠀⠀⠀⠀⠀⠀⠀⢸⡟⠁⠀⠀⠀⠀⠀⠀⠁⠀⡟⢸⣿⡀⠀⣿⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⡀⣀⣀⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⢸⡇⡇⠀⣿⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⠿⠃⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣗⠀⠀⠀⠀⠀⠀⠀⢸⠀⢸⡇⢧⠀⢹⡄⠀⠀⠀⢺⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠏⠁⠀⠀⠀⠀⠀⣿⣿⡿⠛⠉⠉⢻⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠘⡆⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⢿⣿⡏⠀⠀⠀⠀⢿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⣿⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠐⠀⠸⡆⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⢳⠚⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠇⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⠤⢄⡀⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⠔⢁⠠⠐⠒⠒⣚⣒⣥⡀⠤⠜⠶⣤⣀⠀⠀⠀⠀⠀⠀⠀ ⢀⠔⠂⠐⠂⢄⡎⠀⠀⢀⡒⠌⠓⠀⠀⢉⠚⣷⠙⠓⠒⠒⣚⢆⠀⠀⠀⠀⠀ ⠃⠀⠀⠀⢀⠞⠁⠀⠀⠘⡦⡀⠀⠀⠀⢸⡇⢸⡀⠀⠀⠀⣿⢸⠀⠀⠀⠀⠀ ⢂⠀⠀⠀⡎⠀⠀⠀⠀⠠⣈⠚⠵⢒⣀⣀⡶⠋⠪⣃⠶⣶⡾⣃⣀⠀⠀⠀⠀ ⠀⠀⢄⠀⠀⠀⢀⣖⠤⠄⣀⠈⠉⠀⠉⠁⠀⠀⠀⠘⠅⠀⢙⡄⠀⠈⠁⠢⠀ ⠀⠀⠀⠈⠀⠀⠀⠘⡔⢶⣦⣌⣉⡐⠒⠀⠤⠤⠤⢄⣒⣢⠥⠂⠀⠀⠀⢀⠃ ⠀⠀⠀⠀⢣⡀⠀⠀⠈⠢⢍⠛⢿⣛⠿⣿⣿⣿⣿⠁⠈⢳⠑⠤⠤⠀⠂⠁⠀ ⠀⠀⠀⠀⢸⡜⠦⣄⡀⠀⠀⠁⠂⠤⣉⡉⢛⣛⠷⣦⣭⣥⠎⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣧⢙⠈⠙⠒⣦⠤⠤⠤⠤⣀⠴⠊⠙⠒⠒⠍⢳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣠⠈⠀⣠⠏⠀⠀⠀⡔⠑⠁⠀⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠓⠊⠁⠀⠀⠀⠀⣏⠄⠀⠀⠀⠀⣠⠜⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠀⠐⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⠶⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽ ⠀⠀⠀⢀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⠨⢯⣼⣫⠽⠿⠿⡷⣶⣶⣦⣦⣠⡠⣤⠀⠤⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠐⣿⢋⣏⠀⠀⣠⣴⣄⠈⣿⣿⣿⣿⣟⠆⡀⢰⣿⠗⣫⣶⣶⣤⣀⠀⢀ ⠀⠀⠀⠀⢸⣎⢮⠳⣜⣿⠿⠟⣰⣿⡿⡟⣟⠉⠀⠀⣼⣿⣿⡿⠿⠛⠛⣿⣿⡟ ⠀⠀⠀⠀⠀⢳⠂⠛⠘⠤⠤⠮⠛⠓⠀⡊⡀⠀⠀⠀⢸⡿⣿⡆⣶⣿⣷⢸⢻⢠ ⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⡺⠋⠀⠀⠀⠀⠘⡿⣿⣯⡛⣫⢵⢿⠀⣼ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠘⡕⠄⠀⠀⠀⠀⠸⡇⣽⡟⡷⠞⠮⢐⠠⢻ ⣦⠴⣢⣤⠔⠶⣦⣄⠀⠀⡀⠁⠤⠉⠺⣎⡀⠀⠀⠀⢀⡟⢏⠦⠄⠀⣰⡫⢠⣻ ⣽⣿⣌⡤⠀⠀⠈⠻⢿⣦⣉⠎⠒⣄⠀⠘⣕⠀⠀⠀⣤⣗⣁⡤⣄⠧⢋⣴⣿⣿ ⣿⣷⣭⣻⣦⣀⠀⠀⠀⠈⠙⠛⠶⠶⢥⣤⣯⡆⠀⠀⢸⣿⠙⢉⣠⣶⣿⣿⡿⢿ ⠹⣿⠿⠿⣧⣏⡗⢲⣦⣤⣀⣀⣀⠀⢀⢀⣝⣲⡀⣀⣩⣦⣾⣿⣿⣿⣿⣿⣷⣾

⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⢸⡇⠀⠈⠉⠉⠁⣴⡿⠋⠉⠁⠀⣩⣿⣶⠀⠀⠀⢀⣀⣸⣷⣸⣧⣀⣀⣀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⢠⡄⠀⠀⢸⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⢰⡏⠀⠀⠀⣀⡀⢻⣯⣻⣶⡾⠛⠛⠛⠋⠉⠉⠉⠉⠉⠙⠛⠻⢶⣶⣾⣿⣿⠟⠿⣿⣦⠈⣿⠀⢠⣿⣿⢳⡆⠀⠀⠀⠀⠀⠀⠐⠋ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠘⣷⡀⢰⣿⣿⣿⣶⡿⠟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣷⡸⢿⡿⠀⠹⣧⣿⣿⣿⣬⡇⢹⡄⠀⠀⠀⠀⢠⡶ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠘⢷⣾⣿⠟⠉⠀⢀⣀⣠⣤⠶⠾⠿⠿⠿⠷⠶⣤⣤⣀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣾⡇⠀⠀⠻⣿⣿⣿⣿⠃⢠⡟⠀⠀⠀⠀⣾⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⡆⢸⡇⠀⠀⠀⠀⠀⣠⣾⣿⠟⣀⣤⡾⠟⠋⠉⣀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⢷⣦⡀⢀⠀⠀⠀⠈⠻⣷⡀⠀⠀⣿⡇⣻⢸⠄⠈⡿⠒⡀⠀⠀⢿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⣠⣾⣿⣿⣿⣾⠟⠁⠀⣠⡶⠛⠋⠛⠳⢶⣄⣷⡀⠀⠀⠀⠀⠀⠀⠙⠻⣾⣷⢀⠀⠀⠀⠹⣿⣶⣶⣾⣿⣿⣾⣶⣾⣧⣴⣷⣴⣦⣼⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡇⠀⠀⣴⡟⠉⣠⣾⠋⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠙⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣾⣷⡄⠀⠀⠸⣿⡄⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⢸⡇⣠⣴⣿⡀⣴⡟⠁⠀⠀⠀⠀⠘⣿⡀⠀⠀⠶⠀⠀⠀⠈⢿⠿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡙⠀⠀⠀⢿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⢸⡇⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠘⣿⣄⠀⠀⠀⠀⠀⠀⢸⡇⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⡸⠀⠀⠈⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤⣤⣤ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⠻⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢷⣤⣀⣀⣀⣤⡿⠁⠀⠀⠀⢠⣄⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠋⠉⢀⣴⡾⠛⠛⠶⣿⣦⣀⠀⠀⠀⠀⢸⣿⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢸⡇⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡄⠀⣠⠀⠀⣾⠃⠀⠀⠀⠀⠀⠹⣿⡻⠀⠀⠀⢸⣿⠀⠀⣰⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⣷⣶ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢸⣧⣠⣤⡾⠿⠷⣦⣄⠀⠀⣀⠀⠀⠀⠀⠀⢸⣧⣠⣿⠀⠀⣿⡀⠀⠀⠀⣀⠀⠀⠈⢿⡄⠀⠀⢸⡿⠠⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉ ⠀⠀⣀⣀⠠⠤⠔⠚⠻⢶⣤⡼⠟⠁⠀⠀⠀⠈⢻⣆⠀⢿⣿⣷⣄⡀⠀⠀⠙⠛⠁⠀⠀⠘⣷⡄⠀⠀⠉⠀⠀⠀⢸⣷⠀⢠⣿⠃⢀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠚⠋⠉⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⢿⡆⠀⠙⢿⣿⣿⣄⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⣀⠀⠀⠀⢀⣼⠇⢠⣿⡃⣠⣾⣿⣤⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠹⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠓⠶⠶⠛⠁⣰⡿⣧⣿⠟⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠳⠶⣶⣤⣤⣀⠀ ⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⡀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠈⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⢿⣽⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛ ⠀⢱⡄⠀⠀⠀⠀⠀⠀⠀⠀⢹⡆⢿⡀⠀⠀⠀⠀⠀⢻⣧⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣷⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠸⣧⠀⠀⠀⠀⠀⢸⡏⠙⠷⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠟⠋⣽⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⢿⡆⠀⠀⠀⠀⠈⣿⡀⠀⠈⠉⠙⠛⠓⠒⢶⣶⡖⠚⠛⠿⣭⣤⣤⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡇⠈⣧⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⢀⣴⡟⠙⢿⣦⠀⠀⠀⠀⠀⠀⠻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⢿⡄⢀⣤⡶⣶⠿⠛⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠙⣷⣄⠀⠀⠀⣠⡾⠻⣧⡀⠀⠀⠀⠀⣀⣴⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣆⠸⣿⡋⠁⠀⢸⣧⠀⠀⠀⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠻⣦⣴⣿⡋⠀⠀⠘⢿⣄⢀⣴⡿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡀⠘⣧⠀⠀⠀⢿⣆⣠⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣄⡀⠀⠀⣻⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⢿⡆⠀⠀⠀⠙⢿⣅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡟⠁⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠚⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣧⣼⣿⣄⡀⠀⠀⠀⠙⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠚⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣷⣄⡙⢷⣄⡀⠀⠀⠀⠉⠻⣶⣄⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⣠⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣯⡛⠻⠿⣿⣦⣄⠀⠀⠀⠀⠙⠻⣦⣄⣴⠿⠋⠀⠀⠀⣠⣾⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣷⡄⠀⠀⣉⣙⣿⣦⣤⡀⠀⠀⠈⠙⠻⢶⣦⣤⡶⣾⣿⣿⣷⣶⣶⣾⣖⡀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⢠ ⠀⠀⠀⠀⠙⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣶⣿⣭⣭⣥⣤⠉⠛⢷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣩⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⣠⡿⠃⠀⠀⠀⠀⠀⠀⠀⡴⠋ ⠀⠀⠀⠀⠀⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡿⢟⣩⣽⣿⠟⠀⠀⠈⠉⢻⣶⣤⣀⠀⠀⠀⠀⣬⣭⣭⣽⣿⠿⠃⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⣴⠿⠁⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⣿⡿⣋⣴⡾⣃⣤⡶⠾⠛⠻⣯⡛⢿⣿⡛⠛⠛⠛⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⣿⠁⠀⠀⠀⣀⣠⣴⠋⣀⣀⣀⡀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⡻⣿⣿⠟⠋⠀⠀⠀⠀⠀⠘⣷⡀⠈⡙⠿⢶⣤⣀⣀⠀⠀⠀⢤⠀⠀⠀⠀⢻⣀⣤⡶⠟⠋⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣀⣀⢀⣼⠋⠀⠀⠀⠙⢿⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠶⠛⠋⠉⠀⠀⠀⠀⠀⠉⢹⣟⠻⢦⣄⡀⠀⠀⠘⣇⠀⠀⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀ ⠀⣰⡾⠛⠉⠙⠛⢶⣤⣴⠟⠋⠀⠀⠀⠀⠀⠀⠀⢯⣻⣄⠀⠸⣾⣷⡀⠈⠙⢦⣄⠀⣿⠀⠀⠀⠀⠀⢀⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣿⠀⠀⠀⠀⠀⠀⠈⠙⠂⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡄⠀⠙⢿⡷⠀⠀⠀⠙⢿⣟⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⣠⡶⠀⠀ ⠘⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠓⠀⠀⢀⣀⠤⣄⡀⠀⠀⠻⣆⠀⠀⠐⠁⠀⠀⠀⠀⢀⣤⡾⠋⠀⠀⠀ ⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠁⠀⠀⠀⠙⣆⡄⠀⠹⣆⠀⠀⠀⠀⢀⣠⠶⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠃⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⢻⡄⠀⠀⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⣠⠇⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣼⠉⠹⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⣿⠀⠀⠀⠦⠤⠤⠤⢤⣤⣤⣤⣀⡀ ⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠘⣇⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉ ⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡖⠋⠉⠉⠙⠒⠦⣄⣿⡀⠀⠀⣿⣄⠀⠀⠢⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠙⡷⡄⢸⠟⠛⠷⣄⠀⠀⠙⠳⣦⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⡇⢀⡟⠀⠀⠀⠙⣇⠀⠀⠀⠀⠙⠷⣦⡀⠀ ⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠙⢦⣀⠀⠀⠀⣀⡼⢁⡾⠁⠀⠀⠀⣠⡟⠀⠀⠀⠀⠀⠀⠈⠙⠆ ⠀⠀⠀⠀⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⢠⣾⣅⣠⣤⡴⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡿⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠟⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠁⠀⠈⠓⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠈⠙⠲⢦⣤⣤⣄⣀⣀⣤⣤⡴⠶⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢀⣼⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣄⠀⠀⠀⣀⣠⣶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡉⠉⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣤⣶⣾⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⢀⣀⣤⡤⠀⠀⠀⠀⠀⠀ ⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡿⠟⠛⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢹⣿⣿⣿⣿⣿⠿⠟⣏⡉⠉⣉⡲⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⣤⣶⣾⠿⣿⡿⢛⢭⠤⣴⡀⠙⡿⠟⢛⡇⠸⡄⠀⣀⠀⠀⠀⠀⠀ ⠉⠁⠀⢠⡟⣰⣧⠏⣰⢋⡇⢀⣬⣶⣿⡿⠛⡿⠶⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⢡⠉⠺⠷⢞⣡⡿⢡⡮⣷⠊⠇⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣷⣸⠀⠀⠀⠈⠉⠀⠀⠀⠀⢀⡼⠁⠀⠀⠀⢀⣤⣤⡀ ⠀⠀⠀⠀⠘⠻⣦⣄⡀⠀⠀⠀⣀⣠⡴⣟⠁⠀⠀⠀⢠⠏⠀⠈⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢯⠙⣍⢫⣿⣹⣷⠺⣟⠲⢦⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡼⣧⠘⣼⢈⡏⢣⢹⠙⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠃⣹⣀⣈⣳⡷⡼⢾⠀⢸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣤⣴⣶⣶⣦⣤⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⠶⠞⠛⠉⠉⠉⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠷⣦⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⡿⠋⠁⣤⣀⣀⣀⣀⠤⠔⠂⠋⠀⠀⠀⠀⠀⠀⠀⠠⢖⣊⣉⣛⠦⠉⠻⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⡿⠁⠀⢰⣿⣿⣯⠉⠉⠉⠑⢤⠀⠀⡰⠀⡆⠀⠀⠀⢰⣾⣿⡏⠉⠙⠲⣄⠀⠈⠻⣦⡀⠀⠀ ⠀⠀⢀⣾⠏⠀⠀⠀⠈⠛⠛⠛⠻⠽⠒⠒⠋⠀⢰⠁⠀⣇⠀⠀⠀⠈⠛⠛⠻⢶⡦⢄⣸⠃⠀⠀⠘⣷⡄⠀ ⠀⠀⣼⢣⢤⣄⣀⣀⡀⠀⠀⠀⣀⣀⣀⣀⡠⢤⣿⠀⠀⢸⣈⡆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄ ⠀⣸⠇⠈⣾⢷⣤⣀⠈⠉⢉⡉⠀⠀⠀⠀⠀⠀⠉⠛⠶⠞⠋⠀⠀⠉⠒⠢⠤⢤⣀⣀⣀⡀⠀⠀⣀⡀⣿⣇ ⢠⡟⠀⠀⡇⢸⠁⢹⠛⢾⠧⣭⣙⣻⠻⡟⢿⣿⡿⢦⣤⢴⠶⡶⢦⣤⣀⡀⠀⠀⠀⠀⢀⣀⣠⣼⣷⠏⢻⣿ ⣼⠃⠀⠀⣷⡚⠶⣾⣀⣸⡀⢸⠀⢹⠉⠙⡟⠛⠲⠖⠾⡷⠴⠿⡿⠷⡯⠭⢿⡖⢲⠉⢻⠛⠻⠉⢻⠀⢸⣿ ⣿⠀⠀⠀⠸⣧⢼⣿⣿⡟⢿⣛⣶⣾⣦⣤⣇⡀⣸⣀⢀⣇⣀⣰⣇⣀⣼⣀⢀⣧⣀⣧⣸⣇⣰⣦⠏⠀⢸⣿ ⢻⡆⠀⠀⠀⠙⣶⡷⣾⣧⣬⣿⣯⣟⣌⠛⠃⣻⣏⢻⣿⣿⣿⠻⣩⣏⣿⣿⣿⣫⣬⣷⣀⣳⣢⠏⠀⠀⢸⡇ ⠸⣧⠀⠀⠀⠀⠈⠻⣷⣿⣿⡟⣿⣍⣿⠖⠊⠉⠙⡏⠁⠉⠙⣦⡝⢿⣿⣿⢻⣾⠿⢯⣈⡽⠏⠀⠀⠀⢸⡇ ⠀⢹⡆⠀⠀⠀⠀⠀⠙⠻⣿⠛⡿⢿⡧⣤⠤⣄⣀⣙⣀⣀⣀⣈⣯⣿⣉⣿⢿⡿⢶⡿⠋⠀⠀⠀⠀⠀⣿⠁ ⠀⠀⢻⣆⠀⠀⠀⠀⠀⠀⠀⠙⢷⣾⣥⣷⣀⣳⠀⣇⠈⢹⠈⢣⠀⣧⣀⣧⠴⠟⠋⠀⠀⠀⠀⠀⠀⢰⡏⠀ ⠀⠀⠀⠹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢿⣽⣟⣟⣿⣿⣿⣽⡿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀ ⠀⠀⠀⠀⠈⢷⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠲⣄⠀⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⢦⣀⠀⠀⠀⠀⠙⠒⠒⠉⠒⠤⠠⠔⠀⠀⠀⠀⠀⣀⣀⡠⠖⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠤⣀⣀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠤⠖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣄⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠔⠊⠉⠀⠀⠀⠀⠀⠀⠀⠉⠑⠲⢄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡴⠋⠁⢀⡤⠴⠒⠒⠲⠤⣄⠀⠀⠀⠀⣀⣤⣝⣦⣄⠀⠀⠀ ⠀⠀⣰⠋⠀⠀⣴⠛⠒⠚⢹⣿⣍⠙⣛⣷⠀⢠⣿⢷⡷⢶⣬⢽⣦⠀⠀ ⠀⡸⠁⠀⠀⠀⠘⢯⣉⡉⠉⢻⣉⣭⠟⠁⠀⠀⢻⣉⠓⠻⠛⠒⢼⣧⠀ ⢠⠃⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠈⠙⠒⠶⠖⠛⠉⡇ ⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⢻ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡀⠀⠀⣀⣤⠶⠒⠛⠉⣩⡗⠀⠸⠁⠀⢸ ⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠘⠋⠁⠀⠀⠀⠀⠟⠁⠀⠀⠀⠀⠀⣸ ⠘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏ ⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡏⠀ ⠀⠀⠙⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀ ⠀⠀⠀⠈⠳⣤⡀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠒⠤⣄⣀⠀⠀⠀⢻⣄⣀⣠⡤⠖⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⣹⡿⢻⡛⠓⠶⢤⣄⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠞⠁⠀⠈⣧⠀⠀⠀⢀⣩⣿⣦⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠁⢀⣀⣀⣠⣼⡶⠶⠟⠛⠛⣿⡯⠃⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣟⣛⢉⡁⠈⡇⠀⠀⠀⠀⠹⠃⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠚⠉⢳⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⠀⢀⠉⠓⠦⣀⣀⣀⣤⠤⠤⠶⠶⠾⣧⣤⠒⢳⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⠀⢸⠉⣳⠖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢾⣸⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣆⢸⠾⣅⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠒⢺⠿⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⢫⠈⣯⠳⣆⠀⠀⠀⠀⠀⠰⡇⢈⣦⡜⠀⠹⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣸⠀⠀⠈⠳⠧⠴⠞⠀⡠⠺⣿⡟⠻⢿⡛⠋⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣾⠁⢰⣼⣴⠀⢈⡇⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠻⣄⡀⢻⣾⡤⠟⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣾⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⠀⠀⠙⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀ ⠀⠀⠀⢠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠞⠁⡠⠃⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀ ⠀⠀⣰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⢀⡴⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀ ⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠉⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡄ ⢰⡇⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇ ⠈⠙⠿⣿⣿⣿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣠⣤⣴⣶⣿⠿⠁ ⠀⠀⠀⠀⡼⣻⢋⡄⢉⣹⠿⠶⢤⣀⣀⣀⠀⣀⣀⣀⣤⣴⠾⣿⠛⠛⠿⢿⠁⢻⠋⠁⠀⠀ ⠀⠀⠀⠀⠙⠛⠚⢉⡡⠤⠤⠤⠼⠿⣟⣛⣿⣻⣽⣟⣩⣂⣴⣃⣀⣀⡴⠋⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⣠⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢦⣀⣀⣀⠤⠴⠒⠒⠒⠚⠒⠒⠒⠦⠤⠤⠤⠤⠤⠔⠊⠁⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠚⠉⠀⢀⣸⣷⡤⠔⠲⠦⢤⡤⣄⠘⢿⡆⠈⠛⠷⢾⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⢉⣆⡤⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⢳⣄⡀⠀⠀⠉⢻⣿⣷⣴⠶⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⡴⠋⢀⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠈⢿⣧⣤⣤⣀⣸⣩⡿⡟⢰⢿⣟⢶⡄⠀⠀ ⠀⠀⠀⠀⠀⣠⣾⣥⢤⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⢻⡀⣸⠉⡙⣿⣿⣿⣿⢁⠃⢸⠘⣿⣦⡙⢦⠀ ⠀⠀⣤⣴⣿⢻⠋⣠⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠈⣧⡏⠀⢱⠀⢰⣿⣏⣸⠀⢸⣤⣯⡟⣧⠘⡆ ⠀⢠⡾⢡⠇⡌⣰⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠘⡇⠀⠈⡀⠘⣿⣿⡍⠿⣿⡟⠋⠁⠸⡆⢻ ⢰⡏⢠⠏⢠⣷⣿⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⣶⣿⣿⡛⠉⠀⠀⠀⠀⠀⠃⠀⢺⣿⡇⠈⣿⡇⠀⠀⠀⡇⢸ ⠈⠷⠯⣄⣌⣹⡟⠘⠀⣤⣤⣤⣴⣶⡄⠀⠀⠈⠉⠙⠛⢿⠿⢉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠼⣿⣿⠄⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠈⢿⣇⠀⠀⠉⠟⣿⡟⢉⣷⠀⠀⠀⠀⠠⠴⠛⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣿⣿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠉⠿⡄⠀⠀⠀⠉⠀⠉⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⣽⠿⠿⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⡇⠀⠀⢐⣿⡄⠀⠀⠀⠀⠀⡸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠘⠁⣠⠞⠙⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⣧⠀⠀⢸⣽⡇⠀⠀⠀⠀⠀⠙⢦⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⢾⠁⠀⢰⡇⠀⠀⠀⢠⠀ ⠀⠀⠀⢹⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠰⠶⠶⣒⣦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⢠⠎⠀⣠⢿⡇⠀⠀⣼⡏⠀ ⠀⠀⠀⢾⡆⠀⣼⣿⣧⠀⠀⠀⠀⠀⠀⠰⣤⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀⠀⣠⣴⠶⠋⠀⢸⡇⠀⢰⣿⠃⠀ ⠀⠀⠀⠘⣇⠀⢻⣷⢹⣆⠀⠀⠀⠀⠀⠀⢠⠄⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠀⠀⣠⠖⠋⠣⠀⠀⠀⢸⣿⡦⣼⣿⠀⠀ ⠀⠀⠀⠀⢸⡀⢸⣿⣿⠉⠓⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠈⣇⢸⣿⣿⠀⠀⠀⠀⠉⠒⠦⢤⣀⣀⣀⣀⣀⣴⠞⠁⠀⠀⠀⠀⠀⢧⠀⠀⠀⠀⠀⠀⣿⡏⢻⣿⠃⠀⠀ ⠀⠀⠀⠀⠀⢸⣼⡏⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡍⢻⠀⠀⠀⠀⠀⠀⠀⣸⣧⠄⣀⡀⠀⠀⣿⠁⢸⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢀⡟⠀⠀⠀⠀⠀⣰⠞⠉⠀⠀⠀⠙⢦⠀⡟⠀⠈⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣧⠸⠃⠀⠀⠀⠀⠀⠀⠀⠀⣀⢤⣾⠋⠀⣀⠤⠤⣀⡼⠃⠀⠀⠀⡀⠀⠀⠈⢳⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⢠⠊⣰⠟⠁⠐⠊⠀⠀⢀⡿⠁⠀⠀⠀⠀⢱⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠇⡾⠃⠀⠀⠀⠀⣀⣤⣾⡅⠀⠀⡀⠀⠀⠈⡆⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣤⢤⣤⡀⠀⠀⣀⠀⢀⣿⣾⡅⠀⠀⠀⠀⣸⣿⣻⠧⢽⠀⢀⣇⠀⠀⠀⢡⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣽⣻⣿⣯⣿⣿⣉⣟⣿⣼⣽⣏⣽⣭⣿⣏⣿⣿⡿⡶⣿⣿⣿⣿⣿⣷⡄⢸⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠈⠁⠀⠀⠀⣨⣣⠟⠡⠤⠖⠚⠁⠈⠈⠙⠛⠣⡀⠀⠀⠉⠀⠀⠀⠈⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⡤⠤⠤⠤⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠖⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠲⢤⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⡴⠚⠁⠀⠀⠔⠚⠛⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣬⣳⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⠶⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠋⠀⠀⠀⠙⣆⠀⠀⠀ ⠀⠀⠀⢠⠞⠁⠀⠀⠀⢀⡴⠊⠉⣉⣉⣿⣶⣤⠀⠀⠀⠀⠀⠀⠀⠀⡀⣠⠴⠒⠦⣄⠈⢧⠀⠀ ⠀⠀⡴⠁⠀⠀⠀⣠⣤⡯⠒⠉⠉⠁⠀⠈⢉⡿⠁⠀⠀⠀⠀⠀⠀⠀⠻⡓⠒⠒⠒⠻⢷⣾⣇⠀ ⠀⡼⠁⠀⠀⠀⠀⠈⠈⠑⠲⠄⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠦⣀⠀⠀⢀⠞⢹⡄ ⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⠀⠀⠀⠀⠀⠀⠀⠀⠤⣀⠀⠀⠀⠀⠀⠀⠈⣇ ⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⣀⡤⢶⠒⢲⠒⠲⣄⠈⠱⠀⠀⠀⠀⠀⠀⢹ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡷⠦⣴⢖⣯⣷⣷⣾⣶⣾⣦⣧⣼⣵⣶⡇⠀⠀⠀⠀⠀⢸ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠇⠀⠀⠀⠀⠀⢸ ⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⣸ ⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏ ⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁ ⠀⠀⠀⠙⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠁⠀ ⠀⠀⠀⠀⠀⠈⠓⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠎⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠤⠤⠒⢉⠀⠀⠀⠀⠀

⢰⣶⣶⣶⣶⣶⣶⣶⣶⣶⡶⠶⠶⠒⠒⠒⠲⠶⢶⣶⣶⣶⣶⡶⠒⠒⢒⣶⣾⣶ ⢸⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⢀⣀⣀⣤⣤⣄⣀⡈⢻⣿⡟⠁⠀⠀⡀⢻⣿⣿ ⢸⣿⣿⣿⣿⡿⠁⠀⣀⣤⣶⣿⣿⣯⣭⣄⣀⡀⠀⠈⠹⣿⡀⠀⠠⣸⠇⠀⣿⣿ ⢸⣿⣿⣿⣏⣤⣤⣾⣿⡿⠟⠋⠉⣉⣉⣉⡉⠛⠃⠀⠀⠈⣿⠤⠾⠋⠀⠀⣿⣿ ⢸⣿⣿⣿⣿⣿⠟⠋⠁⠀⠀⡰⢫⣶⣿⣯⠺⠱⣄⠀⠀⠀⢸⡿⣄⠀⢤⣼⠋⢸ ⢸⣿⣿⣿⣟⣁⣀⣀⣀⡀⢰⠗⠃⠙⠛⠋⠔⠀⠀⠀⠀⠀⠈⡇⢸⢿⡟⠁⠀⢸ ⢸⣿⣿⣿⣿⡏⠉⠑⢌⠅⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠈⣧⡇⠎⠀⠀⠀⢸ ⢸⣿⣿⣿⠿⣷⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⢠⠀⠀⠀⠀⢸ ⢸⣿⣿⡟⠀⠈⠂⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⢸⠀⠀⠀⠀⡜ ⢸⣿⣷⠃⠀⠀⠀⠀⠀⠀⠀⠙⠻⢦⡴⠏⠀⠀⠀⠀⠀⣠⠃⠇⠀⠀⠀⠀⠀⢀ ⢸⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣶⡾⠁⢸⠀⠀⡤⠀⠀⠀⢸ ⢸⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⣿⣿⠉⠉⡏⠉⢻⠵⠋⠀⢀⣇⣼⢁⡅⠀⠀⠀⠈ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⣺⣿⣿⣥⡶⢄⣰⣿⠟⠛⠉⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣠⡤⠀⠀⠀⠀⠀ ⠘⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠓⠚⠁⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⢻⡟⠻⣿⣿⡿⠿⢿⣿⣿⣷⣶⣭⣿⣿⣿⣿⣿⣿⣿⣿⣇⠹⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣼⣷⠀⠈⠛⠿⠿⠿⠿⢯⣙⣛⣻⠿⢿⣿⣿⠿⣿⣿⣿⣿⡄⢻⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⡿⣻⡿⠁⠀⠀⠀⠀⣀⡤⠖⠋⠁⢀⣉⣩⡍⠉⣿⣿⣷⣦⣭⣛⣿⣾⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣿⣿⠏⣿⠞⠁⠀⠀⠀⠀⠀⠞⠉⠀⣴⣾⣿⣿⣿⠋⠀⠀⢸⠙⣿⣿⣿⣿⣿⣿⡟⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣿⠋⣼⣿⠛⠓⣒⡶⠄⠀⠀⠀⣀⣀⣿⠧⠖⠋⠡⠞⠀⠀⠈⣇⠸⣿⣿⣿⣿⠿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡿⢰⣿⣿⣷⣿⡛⣿⣷⢦⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⡄⠘⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣷⣿⣿⣿⣿⣿⡉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡀⢿⣿⢻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⡟⣿⣿⣿⣿⣷⡀⠀⠀⠀⠀⢀⠀⠐⠂⠀⠀⠀⠀⠀⠀⠀⠀⣹⡇⢸⡇⢸⠻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣷⠘⢿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⢀⡀⠀⠀⢀⡀⠀⠀⠀⢀⣿⠀⣿⢣⠿⣇⠈⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣷⣶⣶⣶⣾⣷⣤⣭⣭⣿⡿⢿⣿⣦⣄⡀⠀⢿⣥⣶⡟⠋⠀⠀⠀⡴⠃⠈⠀⡿⢻⠀⠈⠀⠀⠈⢳⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣹⣿⣿⣶⣝⣿⣿⠛⠶⣄⡀⠁⠀⠀⠀⣠⣞⠀⠀⠀⠀⠁⠈⠀⠀⠀⠀⠀⠀⠀⢻⠉⠑⠲⢤⣀⠀⠀⠀ ⣿⣿⣿⣿⣿⠿⣿⣻⣿⣿⣿⢻⣿⣿⣿⣿⡛⢿⣧⠀⣸⠟⠒⠤⠴⠚⠁⣸⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀⠀⢈⣽⡶⠤ ⣿⣿⣿⣿⣿⣷⣜⠇⠻⣿⡀⠀⠛⠂⠀⠉⠛⠊⢿⣿⣿⣀⣀⣀⠀⠀⢠⡇⠀⠇⠀⠀⠀⠀⢀⣀⠄⠀⠀⠀⢀⡟⠀⠀⢀⣶⡟⠁⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣷⣄⠈⠁⠀⠀⠀⠀⠐⢦⡀⠀⣾⠋⠉⠁⠀⠀⠀⢸⠁⠀⠀⠀⠀⢀⣴⠿⠁⠀⠐⠒⢂⡞⠀⠀⢠⡿⠉⠁⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⠶⣤⣄⡀⣀⡀⠀⠙⢲⡟⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⣠⠏⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣀⣙⣶⣴⢤⣈⢳⠀⢸⠁⠠⣄⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡞⠁⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣡⣴⡾⠟⣳⣦⡿⠀⠀⠀⠉⠀⠀⠀⣷⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⣠⣾⠁⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣴⣿⠟⠋⠁⠘⠲⠤⣄⡀⠀⠀⠉⠀⠀⠀⠀⠀⠀⢠⠞⠒⠀⠀⠀⠉⢹⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡁⠀⠀⠀⠀⠀⡀⠀⠈⠉⠒⠚⠀⣀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⠶⠶⠒⠒⠒⠒⠒⠒⠒⠒⠶⠶⠦⣤⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠞⢋⣉⠠⠀⠀⠀⠉⣉⡴⠖⢢⠈⠳⣄⠙⠲⠦⣀⡀⠈⠉⠛⠶⣦⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣠⡾⠛⢁⡤⠞⠉⠀⠀⠀⣠⠴⠛⠀⢀⡴⠃⠀⠀⠘⢆⠀⠀⠀⠉⠳⢤⣀⠀⠀⠉⠳⣦⡀⠀⠀⠀ ⠀⠀⠀⢠⡾⠋⢠⡜⠋⠀⠀⠀⠀⡠⠞⠁⠀⠀⢀⡞⠁⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠈⠓⢦⣄⠀⠈⠻⣆⠀⠀ ⠀⠀⣰⡏⠀⡴⠋⠀⠀⠀⠀⣠⠞⠀⠀⠀⠀⣠⠟⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠀⠙⢧⡀⠀⠹⣧⠀ ⠀⣰⠏⢀⡼⠁⠀⠀⠀⢀⡼⠁⠀⠀⠀⠀⢠⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣆⠈⢹⡆ ⠀⡟⠀⡾⠁⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⣿ ⣼⠇⢰⠇⠀⠀⠀⠀⡾⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⣿ ⣿⠀⣿⠀⠀⠀⠀⣸⠇⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣤⣄⣀⣀⣀⣀⣀⣀⣄⣤⣤⣾⣤⡿ ⣿⠀⣿⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣀⣼⠋⠈⠀ ⣿⠀⢿⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀ ⠛⠓⠚⠛⠒⠒⠒⠶⢶⣖⠲⠶⠶⠶⠶⠶⠶⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠠⢤⡈⠛⠶⠤⣤⣀⣀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣹⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠠⣄⠉⢹⡀⠀⢿⣿⣿⣿⣿⣿⣿⡿⣿⡏⠙⠻⣿⡿⠿⠿⠿⠿⠿⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠈⠻⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠛⣷⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⠾⠛⠋⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⠤⣤⡟⠀⠀⠀⠀⠀⠸⡿⢦⡁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠁⣀⢀⣠⡤⠶⠚⠛⠉⠁⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⣷⠈⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⣿⠋⠁⠀⠀⢀⣠⣤⠴⢶⡶⠒⠒⠒⡿⠀⠀⠀⠀⠀⠀⠀⢻⡀⣾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⣀⣈⣤⣧⠶⠟⢻⠁⠀⠀⣼⠃⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⣸⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠈⠉⠉⠁⠀⠀⠀⣸⡇⠀⢀⡏⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⢀⡿⠀⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⢸⡇⠀⢸⠃⡄⠀⠀⡈⢿⡀⠀⠀⠀⠀⣠⡾⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⡇⠀⣿⢰⡇⠀⠀⠀⠈⠛⠲⠤⠴⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣷⣀⣿⠨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⢹⡿⣿⣟⡟⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⢿⠟⣾⠟⠀⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⢰⠀⠁⠀⢸⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠁⠀⠀⣼⠀⠀⠀⢸⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⢰⡇⠀⠀⠀⢸⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⠀⠀⢸⡇⠀⠀⠀⠘⡇⠈⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⣸⠀⠀⠀⠀⠀⣿⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⡿⠀⠀⠀⠀⠀⣿⡄⠀⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠖⣡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⢄⡀⠀⠆⡰⠑⡕⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠬⠦⢈⢹⢰⠁⠀⢰⠀⠱⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⡰⠁⠀⡀⠀⠈⡼⡀⠀⢸⠀⠀⠃⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣁⣴⠃⠀⠀⠀⡄⠈⠑⠂⠧⠀⠀⢸⠀⠀⠀⠀⠀⡠⠔⠈⣝⣹⣓⡄ ⠄⣀⠀⠀⢠⠁⠢⣀⠀⡖⢰⢲⠀⣀⠐⣅⣐⣟⣀⡀⠤⠒⠉⠀⠀⣖⠐⣧⢼⡇ ⣆⠀⠈⠁⢺⠀⠀⠸⠬⠇⠈⠱⡟⣁⠔⠁⠐⠉⢣⠀⠀⠀⠀⠀⠀⠈⠒⡩⠋⠀ ⠘⢕⡠⠄⣀⣧⠐⠛⢷⡠⠜⠋⠉⠀⠀⠀⠀⠘⢩⠀⠀⠀⠀⡀⠤⠒⠉⠀⠀⢀ ⠀⠀⠈⠉⢹⣉⠀⡔⠁⠀⠀⠀⠀⠀⠀⠀⣀⢔⡁⠤⠐⠊⠁⠀⠀⠀⠀⣰⡔⠁ ⠀⠀⠀⠀⠈⠡⡰⡀⠀⠀⠀⠀⡀⠤⠐⠉⠀⠸⡀⠀⠀⠀⠀⠀⠀⠀⠰⠘⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠐⢢⠉⠁⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡣⠀⠀⠀⠀⠀⠀⠀⠀⠱⣀⣀⣀⠀⢀⡠⠃⠀⠀⠀ ⠀⣔⡲⡒⠄⡀⠀⠀⡠⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠄⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣧⡵⢆⠀⠈⠢⡎⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠛⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠋⠁⣀⡀⠙⣦⠀⣠⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠋⢳⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠶⠛⠛⠛⠉⠉⠉⠉⠉⠉⠉⠛⠓⠚⠛⠿⠗⠒⣺⡟⠃⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠟⢁⡆⠀⢸⠃⠀⠀⠀⣠⡤⢶⣾⡏⢰⡶⢫⠄⣤⣦⠞⢋⣩⡵⠾⢿⠟⠀⠀⠀⠀⠀⢈⣩⣿⣷⠚⠋⠉⠉⠙⠓⠲⠤⠤⠶⢒⣶⢻⡷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠃⠀⢻⠀⠀⣼⠀⠀⣠⣾⣿⣶⣿⡿⠰⢋⡴⠃⣠⣾⠷⣊⣭⣤⠤⠤⠤⣄⡀⠀⠀⠀⠀⠉⠹⢿⠯⠅⠀⠀⠀⠀⠀⠀⠀⣀⡴⠻⣿⡾⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡟⠀⠀⣿⠀⢠⠛⣦⣰⣿⣿⣿⣫⠟⣡⣶⠞⠛⣶⠟⣡⣾⣿⠟⢀⡴⠀⣹⣷⣝⡷⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⢋⡁⢀⡴⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⣴⣿⠀⢸⠀⡿⣿⣿⡉⠉⠛⢾⣿⠃⠀⠀⢡⣾⣿⣿⣿⠀⢸⡀⠈⠛⢛⣿⣵⣣⠄⢀⡀⠀⠀⠀⠀⠈⠉⣻⡿⠀⣴⠿⢾⣿⠇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠁⣼⢁⡟⠀⣸⢢⠋⢉⣉⣩⣷⡄⠀⠙⢦⡀⢰⣿⣿⣿⣿⣿⣆⠈⠛⠶⣶⣿⡿⠋⢁⡾⠋⠀⠀⠀⠀⢀⣶⡿⠁⠀⢠⠤⢶⣿⣷⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠁⠀⣿⡾⠁⠀⣿⣼⠀⠀⠀⠀⠀⠀⠀⢀⡼⢿⠀⠈⠙⢿⣿⣿⣿⣷⠶⢞⢿⣯⣤⠶⢋⣠⣾⠃⠀⠀⢀⣿⣛⣀⣤⡀⠀⢀⣾⣿⠿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠁⠀⠀⠙⠁⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⢀⡞⠀⢸⡀⠀⠀⠈⠛⠒⢶⣤⣉⣴⣋⣉⣱⣾⣿⣟⣉⡤⠂⣠⠀⠀⠀⠈⠉⠙⠛⠉⢻⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠒⠒⣲⠏⠀⠀⢸⠃⠀⠀⠀⠀⠀⠈⠀⠉⠉⠙⠋⠉⠁⠀⠀⠀⠒⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠳⢿⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠻⣶⡶⢶⣶⣤⡀⣠⣟⣤⡤⠤⠶⢶⣶⡾⢁⣾⡇⢀⡼⢹⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠦⠤⢤⣤⠤⣄⡀⠀⠀⠀⠉⠙⢲⣶⣤⠄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡟⠛⠉⠀⠀⠀⠀⠀⠀⠸⣤⣾⣿⣿⣿⡇⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠠⣄⡋⠙⢷⡒⠀⠀⠀⠈⠩⣄⣠⣴⣶⠛⠛⠉⠁⠀ ⠀⠀⠀⠀⠀⠀⢠⠖⠓⣆⠀⠀⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⡿⢿⡇⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡑⢦⠀⠉⣷⠒⢻⡄⠀⠀⠀⠀⠠⣄⣁⣈⣹⣷⠶⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⢸⠀⠀⠀⠈⣷⡀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⣼⠈⢻⡀⡄⠀⣄⠀⠀⠀⠀⠀⠀⠀⠙⠆⠀⢸⡇⠀⠀⣷⡀⠀⠀⠀⠲⢤⣉⠛⠛⠉⠓⣲⡶ ⠀⠀⠀⠀⠀⠀⡟⠀⠀⣼⠀⠀⠀⠀⣼⣷⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⣇⠀⠀⠻⡝⢦⠈⢳⣤⡀⠀⢦⣄⠀⠀⠀⠀⢘⡇⠀⠀⡏⠻⣷⢦⣶⣤⣤⣈⣁⣈⠻⣍⡁⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠀⢻⠀⠀⣠⡞⢡⣿⠀⠀⢷⠀⠀⠀⠀⢲⡄⠀⠀⠀⠀⠉⠛⢷⡀⠀⠀⠀⠑⢦⣻⣿⣶⣦⠻⣷⣤⡀⠀⣸⠃⠀⠘⣧⣐⣾⢷⣝⢦⡉⣿⣿⣿⣍⡉⠉⠀ ⠀⢀⣤⣤⡤⢤⡇⠀⠀⢸⣄⣴⠋⠀⣼⡏⠀⠀⠈⠀⠀⢀⡆⠀⢧⠀⠀⠀⠀⠀⠀⠈⢷⣷⡀⠀⠀⠀⠉⣿⡽⣮⣷⣮⣽⣿⣶⡿⠀⠀⠀⣿⣿⣿⣾⣿⡛⢿⣿⠿⣏⡉⠙⠀⠀ ⠀⡾⢹⠃⠀⠸⡇⠀⠀⢸⠀⠘⡏⠻⡟⢰⣿⠀⠀⠀⠀⣼⠀⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⡄⢀⠀⠀⢻⡅⠈⣹⠏⢹⠃⠀⡇⠀⠀⢠⡇⠀⠹⡏⣿⠙⣆⠹⣿⣿⠿⢷⠦⠀ ⢠⠇⢸⠀⠀⠀⣧⠀⠀⣾⠀⠐⡇⠀⢻⣿⠇⠀⠀⠀⠰⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⣷⡀⠀⡙⢠⠏⠀⢸⠀⠀⡷⠀⠀⣾⠀⠀⠀⣿⢸⣇⠸⣿⡛⠻⢶⠀⠀⠀ ⢾⠀⢸⠀⠀⠀⠉⠀⠀⠹⠀⠀⢣⠀⢘⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⡀⢹⡟⠀⠰⠏⠀⠀⠃⠀⠐⠃⠀⠀⢰⡇⠈⣿⣿⣿⡿⣦⡀⠀⠀⠀

⠉⠙⢿⣿⣿⣿⡏⠉⠙⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣹⣿⣿⣿ ⠀⠀⣾⣿⣿⠟⠀⠀⠀⣼⠃⠀⠀⠀⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿ ⠀⣰⣿⡟⠁⠀⠀⠀⣰⣇⠀⢀⣤⣿⣶⣿⣷⣧⣤⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠏ ⣠⣿⡿⠀⠀⠀⠀⣴⡟⢹⣠⣿⣿⡿⠛⠛⠛⠛⠿⣯⠙⠿⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣤⣤⣾⣿⣿⣿⣿⣮⣄⠀⢹⣿⣿⠀ ⣿⡟⠁⠀⠀⠀⢾⣿⠃⠀⢿⡟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠛⠿⠋⠉⠉⠉⠙⠻⣿⣿⣆⠀⣿⣿⠀ ⠋⠀⠀⠀⠀⠠⣾⣿⣤⣤⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠈⣿⣿⣇ ⠀⠀⠀⠀⠀⣾⣿⣿⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⣿⣿⣿ ⠀⠀⠀⠀⢸⠏⠉⠉⠙⠒⠒⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿ ⠀⠀⠀⢀⡟⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠾⠛⠛⠉⠉⠙ ⠀⠀⢠⡟⠀⠀⢣⣄⣀⣀⡀⠀⠀⠀⠀⠠⣕⣦⠄⠀⣠⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⣰⠞⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⢧⡀⢀⡞⠁⠀⠈⠙⠲⢄⡀⠀⡀⠀⢙⡦⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣀⡾⠟⠁⠀⠀⠀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⡿⠀⠀⠀⠀⠀⠀⠀⠈⠑⠾⠓⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢄⣀⡠⠖⠊⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⣸⠇⠀⣠⠖⣾⣿⣿⡷⣦⠀⠀⠀⠀⠀⠀⢀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿⣶⠞⣿⣿⣿⡶⠀⠀ ⠀⠀⠀⠀⣿⠐⡄⣧⣀⠻⠿⠟⠁⣸⣷⠀⠀⠀⣀⠤⠄⠀⢳⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⠀⠀⡀⢻⣹⣅⠈⠻⣿⡿⠃⠀⡆ ⠀⠀⠀⠀⠸⣆⠳⣌⡀⠉⠳⠶⠮⣿⠯⠴⢚⣩⠿⠋⠉⢳⠀⠈⠉⠉⠳⣄⠀⣀⡴⠶⠤⠖⠋⠀⢒⣀⠤⣈⡺⢿⡿⠷⣦⣤⡤⠚⠉⠀ ⠀⠀⠀⠀⠀⠈⠣⣄⠉⠉⠀⠄⠀⠀⠀⣠⢾⠏⠀⠀⢀⣿⣄⣀⠈⠒⠤⣈⡉⠉⠀⠀⠀⠀⠀⢀⣿⡀⠀⠙⣍⠲⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⠒⠒⠖⠚⢻⠸⠀⠀⣴⢇⡼⡌⠛⢿⢷⣶⣤⣭⣥⣤⣶⣶⠖⢺⠟⣿⡶⡄⠀⢸⣆⣀⣠⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣷⠢⠏⠈⣱⠇⠀⢹⣄⠀⠉⠏⠉⠀⢠⡏⠀⢸⠀⠿⢥⣿⡤⣿⠋⠋⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣈⡽⠟⠛⠁⠀⠀⠘⠉⠓⠒⠒⠒⠚⠙⠀⠀⠊⠷⣦⣤⠬⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠉⠙⢻⣿⣿⣿⣿⣿⡋⠉⠉⣻⣿⣿⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢻⣯⣽⣿⣿ ⠀⠀⢀⣿⣿⣿⣿⡟⠁⠀⠀⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣾⣿⣿⣿⣿ ⠀⠀⢸⣿⣿⣿⠏⠀⠀⠀⠀⢰⡟⠀⠀⠀⠀⣤⠄⣀⡴⠖⣢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿ ⠀⢠⣿⣿⡟⠁⠀⠀⠀⠀⢀⣿⢳⠀⢀⣤⣶⣿⣿⣿⣿⣿⣵⣶⣶⣿⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠬⣿⣿⣿⡿⠁ ⢀⣾⣿⣿⠀⠀⠀⠀⠀⣠⣾⠏⣿⣂⣾⣿⡿⣟⠿⠟⠛⠿⠦⢾⣹⣍⠛⢿⣟⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣄⣤⣶⣿⣿⣿⣿⣿⣷⣬⣓⠀⠀⢻⣿⣿⡇⠀ ⣾⣿⡟⠁⠀⠀⠀⢀⣴⣿⢿⠀⠹⣿⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠈⠋⠛⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⢿⣿⡿⠿⠛⠛⠛⠛⢷⣿⣿⣿⣧⠀⠈⣿⣿⣧⠀ ⣿⠟⠀⠀⠀⠀⠀⠀⣱⣿⠀⠀⠀⢹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣿⣷⢠⣿⣿⣿⠀ ⠃⠀⠀⠀⠀⠀⠀⢮⣿⣿⣿⠶⢶⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⣿⠈⣿⣿⣿⣧ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⡅⠀⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠏⠀⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⣾⠛⠛⠚⠻⠶⢦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⢠⡏⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⣣⣿⡿⠿⣿ ⠀⠀⠀⠀⢠⡟⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠛⠃⠈⠁⠀⠀⠀⠈ ⠀⠀⠀⢰⡟⠀⠀⠈⢷⣄⣀⠀⢀⠀⠀⠀⠀⠀⠀⠀⢦⣙⢶⠤⠀⠀⣠⡶⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣷⠀⠀⢀⡴⠋⠉⠉⠙⠳⢦⣀⠀⠀⠀⠀⠀⠈⠛⢧⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠷⣄⠀⢀⣾⣡⠖⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⢦⣾⠁⠀⠀⠀⠀⠀⠀⠈⠙⠲⢤⣙⣢⣀⡤⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢾⡁⠀⠀⠀⠀⣀⣠⠴⠞⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⣤⡴⠞⠋⠁⣀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⠀⠀⢀⡶⢲⣿⡿⣿⣿⡻⣶⡀⠀⠀⠀⠀⠀⠀⠀⠀⡴⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣷⣶⠟⣿⣿⣿⣿⡗⠆⠀⠀ ⠀⠀⠀⠀⠀⣷⡇⢰⠀⣿⡀⠘⢿⣿⣿⡿⠁⢘⣿⡄⠀⠀⠀⠀⠀⣀⡊⠀⠰⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡾⠀⠀⠀⠀⠀⢧⠟⣻⡃⠀⢿⣿⣿⣿⡇⠀⢸⠀ ⠀⠀⠀⠀⠀⠋⣇⠘⣆⠹⡍⠓⠦⣄⣀⣤⡴⣫⣾⠃⢀⣠⡴⢖⣯⡥⠮⢤⡀⠈⠳⠯⠷⢤⣄⠀⠀⠀⠀⠀⢀⡀⠀⢀⣴⠟⢀⣀⣀⠀⠀⢦⣸⣿⣷⣽⣦⡀⠉⠉⠁⣀⡤⠜⠀ ⠀⠀⠀⠀⠀⠀⠹⣦⠙⢦⣬⣀⡉⠐⠒⠛⠋⠿⠗⠚⠉⢤⣴⠟⠉⠀⠀⣈⡟⠀⠀⢀⡀⠀⠈⢿⣄⣤⣴⠿⠋⠉⠉⠉⠀⠀⠀⣠⡴⠖⠲⣦⣌⡛⠿⠍⠙⠻⠯⠿⠝⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠳⣤⡀⠀⠁⠀⠆⠀⠀⠀⠀⠀⣴⢿⡏⠀⠀⠀⢀⣸⣷⣤⣀⠀⠉⠓⠦⣄⣈⠉⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡄⠀⠀⠘⣦⠙⠦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠒⠲⠶⠼⢶⡶⠖⠻⣿⢸⠀⠀⠀⣴⣏⢸⣧⠙⠻⢿⣗⣒⠤⣄⣉⣉⣉⣤⣤⣤⣶⡶⠖⣿⢻⢿⡇⣄⠀⠀⠸⣧⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣌⢤⣀⠈⡧⠴⠯⣹⠀⠀⠰⣆⠉⠙⠳⢾⠿⡿⠚⠋⢉⡇⠀⢰⡏⠸⣎⠷⢹⣦⢀⣴⡿⠳⡷⠾⠗⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⢿⣌⣉⣁⣁⣴⠏⠀⠀⠀⣿⢤⣄⠀⠈⠀⢀⣀⡄⣾⠀⠀⡸⣧⠈⠘⠛⠾⠟⣫⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣴⠿⠛⠉⠀⠀⠀⠀⠀⡟⠀⠉⠙⠋⠉⠉⠉⠁⠁⠀⠀⠁⠙⢿⣷⣶⡶⠚⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⣤⣴⣾⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⢀⣀⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣷⣤⣶⣾⡿⠿⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⢥⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⣼⣿⣾⣿⣿⣿⣿⡟⠛⣷⣤⣤⣤⣤⠍⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣴⣶⡿⠟⠛⣿⡿⢋⣽⡿⠒⣷⡀⠀⢹⡒⠙⢻⡇⠈⣧⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠁⠀⠀⢸⡟⣲⣾⡞⢁⣾⢃⡗⠀⣨⣽⣿⣿⡿⠛⢻⠳⠶⠟⠁⠀⢰⡶⠶⢶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⣿⠘⠦⣞⣡⣿⠃⣿⠟⣯⣿⣯⡝⣦⣾⠀⠀⠀⠀⠀⠸⣧⣤⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⢸⡀⠀⠀⠀⠿⠿⠋⠀⠙⠊⠉⠀⢀⡏⠀⠀⠀⠀⠀⠀⢸⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠀⠀⠀⠀⠀⣰⠞⠙⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢶⣤⣤⣤⣤⣤⣤⣤⣶⣟⣧⣄⠀⠀⠀⠀⣰⠃⠀⠉⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣆⠹⣆⣹⡾⣿⣽⢻⡻⣯⠉⠳⠶⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⣇⠸⣯⡇⣿⠋⣧⢻⠋⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠁⣿⠀⠈⢳⣻⣇⣸⣼⡇⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠴⣿⡿⠗⠒⠙⢯⣿⡼⠀⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠟⠃⠀⠀⠀⠀⠀⠁⠀⠀⠸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡟⠛⠛⠛⢷⣾⠛⠛⠛⢻⡾⠟⡉⠛⢷⣿⠛⠛⠛⠳⣾⠛⠛⠛⢻⡶⠛⢋⠙⠳⣾⠛⠛⠛⠛⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⢸⠆⢀⣿⠀⠈⢿⣿⡀⠘⢿⣷⣼⣿⠀⠈⡗⠀⣿⠂⠰⣶⣿⡇⠀⢹⠀⠀⣿⢷⠂⠘⡗⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⢠⠀⠺⣿⠀⠀⣠⣼⣷⣦⡀⠈⢱⣿⠀⠀⣁⣠⣿⠀⠀⣠⣿⡇⠀⢸⠿⠿⣏⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⡇⠀⢸⡀⠀⣿⠀⠀⠻⢾⡀⠀⠻⠀⢀⣿⠀⠀⡇⠀⢸⠀⠀⠿⢾⡇⠀⠸⠀⢀⡿⢸⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⠿⠦⠾⠧⠴⠿⠶⠦⠤⠼⠛⠶⠤⠴⠞⠿⠶⠾⠇⠀⠸⠦⠶⠦⠾⠛⠶⠤⠼⠞⠁⠸⠦⠴⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠆⠀⠀⠀⠏⠂⠀⣆⡆⠟⠋⠋⠛⠈⠀⠀⠀⠀⠀⠀⠀⠀⠸⢘

⢰⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⠤⢤⣤⣤⣤⣴⣴⣴⣴⣴⣴⣤⣤⣤⣤⣴⣤⡴⠶⠤⢶⠲⣶⣴⣶⣶⡦ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠰⣿⣿⣿⣿⣷ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣤⣤⣤⣤⣄⣀⣀⠀⠙⣿⣿⣿⡟⠁⠀⠀⠀⠀⣀⡐⠹⣿⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠀⠀⠀⠀⣀⣤⣴⣶⣿⣿⠿⠿⠛⠉⠁⠀⠀⠉⠉⠉⠛⠿⣿⣿⣿⠀⠀⠀⠀⢀⣸⣿⠃⠀⢻⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣷⣶⣿⣿⣿⣷⣶⣶⣤⣄⡀⠀⠀⠀⠘⢿⣿⣄⡀⠀⠐⢣⣾⠏⠀⠀⠈⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⡟⣀⣀⣤⣴⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⠀⠀⠈⠉⡉⠉⠛⠛⠛⠀⠀⠀⠀⠀⠻⣿⣇⣤⣶⠿⠛⠀⠀⠀⠀⣿⣿⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⠀⠀⢀⣤⠖⣛⣿⣷⣾⣟⡳⢦⣀⠀⠀⠀⠀⠀⠀⠀⢻⣯⣯⢄⡀⠀⠀⠀⢀⣼⡿⠋⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠀⠀⠀⠀⠀⠀⢠⡟⢡⡞⣿⢿⣿⣿⡆⠙⠇⠻⣧⡀⠀⠀⠀⠀⠀⢸⣿⢹⣦⣄⡀⢙⣲⣾⠟⠀⠀⣿ ⢸⣿⣿⣿⣿⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣵⠟⠀⠻⢿⡿⠟⠁⡸⠂⠈⠈⠀⠀⠀⠀⠀⠀⠈⣿⡞⢏⣿⣿⣿⣿⠋⠀⠀⠀⣿ ⢸⣿⣿⣿⣿⣿⣟⣶⣶⣶⣶⣶⡶⠶⣶⣶⠂⠚⠉⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⣸⠏⣹⠟⠁⠀⠀⠀⠀⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣯⠉⠀⠀⠉⢦⣁⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣰⣿⢲⠇⠀⠀⠀⠀⠀⠀⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣇⠀⠀⠀⠀⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠃⣸⠀⠀⠀⠀⠀⠀⠀⣿ ⢸⣿⣿⣿⣿⣿⡟⠛⠿⢟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⡇⠀⠀⠀⠀⠀⠀⠀⣿ ⢸⣿⣿⣿⣿⣿⠃⠀⠀⠙⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⡆⠀⡆⠀⠀⠀⠀⠀⠀⢠⡿ ⢸⣿⣿⣿⣹⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣴⣆⡤⠀⢀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⣿⠇⢰⠃⠀⠀⠀⠀⠀⠀⠈⣇ ⢸⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠶⢶⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡟⠁⡿⠀⠚⠀⠀⠀⠀⠀⠀⠀⠀⣧ ⢸⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢠⣔⣤⣥⣾⠏⠀⣸⡇⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⣿ ⢸⣿⣿⣿⣿⣿⣦⣤⣄⣀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣤⣤⡠⣤⣶⣿⠿⠛⣿⠿⠁⠀⠀⡾⠀⣠⠤⢼⡋⠀⠀⠀⠀⠀⠀⣿ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠈⣿⠉⠉⠘⣷⣤⠞⠁⠀⠀⠀⣼⡇⣴⣿⠀⢠⡄⠀⠀⠀⠀⠀⠀⠉ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣀⣤⠴⣿⣶⣶⠾⠋⣀⡀⠀⠀⢀⣾⣿⣾⣿⡿⠞⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣴⣾⣿⣿⣿⣾⣿⣿⣉⣣⣴⣿⣿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣀⣀⡀⢀⣀⣤⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣛⣭⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⣉⣉⡉⡉⡉⠉⠁⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠋⠉⠻⣿⣿⣿⡇⠠⡤⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣇⠀⠛⠂⣼⣿⣿⣷⠤⠤⠔⠉⢹⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠻⠟⣿⣿⣿⣿⣿⣷⣖⠈⠀⣍⣋⣀⢼⠀⠀⠀⠀⢣⡸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠉⠻⠿⣿⣿⣿⡄⠀⠎⠀⠀⠈⠀⠀⠀⠀⠀⣇⣻⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠈⠛⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡯⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⡀⠀⠀⠀⠀⣀⣀⣀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⣀⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠤⠶⠖⠒⠲⠤⠤⢤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⠞⠁⠀⡀⠀⣠⠴⠖⠚⠛⠛⠲⣤⣂⣉⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢰⡞⠁⠀⠀⢀⡴⠛⠁⠀⠀⢀⠀⠀⠀⠀⠉⠳⣴⡂⠀⠀⠀⠀ ⠀⠀⠀⣰⠻⠁⠀⠀⢠⠏⢀⠀⠀⢀⣠⡄⠀⠀⠀⠀⠀⠀⠙⠿⡄⠀⠀⠀ ⠀⠀⡼⠁⠀⠀⠀⠀⣯⣀⡤⡶⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀ ⠀⢰⠁⠀⠀⡄⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀ ⠀⡇⠀⠀⠀⢳⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠸⡀⠀ ⢸⠀⠀⠀⠀⠈⣆⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⢻⣼⡄⢸⠀⠀⠀⠀⠀⡇⠀ ⠈⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⢸⠀⠀⠀⠀⠀⡼⠋⠀⢸⠀⠀⠀⠀⠀⢸⠀ ⢀⠀⠀⠀⠀⣄⢀⠱⡄⠀⠀⢸⠀⠀⠀⢀⡜⠀⠀⠀⡆⠀⠀⠀⠀⠀⢸⠀ ⢸⠀⠀⠀⠀⢘⣾⡇⠹⣄⡀⠈⣇⣠⠞⠋⠀⠀⠀⢠⠇⠀⠀⠀⠀⠀⠈⡆ ⡌⠀⠀⠀⠀⠀⠀⠙⢦⡀⠉⠉⠏⠀⠀⠀⠀⠀⢠⠞⠀⠀⠀⠀⠀⠀⠀⡇ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢤⣸⠀⠀⢀⣠⠖⠋⠀⠀⠀⠀⠀⠀⠀⠀⢀ ⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠤⠴⠶⠒⠒⣲⡶⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠖⠋⠉⠀⠀⠀⣀⣤⣞⣉⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠊⠁⠀⠀⠀⠀⠀⠐⠛⠉⠀⠀⣀⡀⠉⠉⢙⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠞⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⢯⣍⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠉⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢑⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠋⠀⠀⠀⠀⢀⡾⡿⠀⠀⣀⡄⠀⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣶⣛⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠋⠀⠀⠀⠀⠀⢠⠏⣸⡷⠟⠋⣰⣴⣤⣍⣻⡦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡈⠡⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⢠⡾⠀⠋⣠⣶⣿⣿⣿⣿⣿⣻⣷⣬⣙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣠⡍⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠀⠀⠀⠀⢼⡇⢠⣾⣷⣿⣿⣿⣿⣿⣿⡟⠻⣿⣿⣮⢳⡀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣽⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⠁⠀⠀⠀⠀⠀⠀⠙⢋⣿⢳⣛⣿⣾⣿⣿⣿⣿⣿⣧⡈⢿⣿⡄⢣⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣶⣶⣤⡀⠀⠀⢀⣠⠶⠀⠘⣿⣾⣿⣿⡿⢺⡿⠁⠈⢹⣿⣷⠼⣿⡇⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⢿⣿⣿⣿⡛⣦⡴⠟⠋⠀⠀⠀⢸⣿⣿⣿⣿⡌⢷⣤⡤⠌⠉⣉⣰⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⣿⣿⣃⣭⡿⠋⠀⠀⠀⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣶⣶⣺⣯⣟⣥⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⣹⡿⠋⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠙⠿⣿⣿⣿⣷⣿⣫⣽⣾⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡾⠋⢀⣤⠶⣞⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠞⠋⠀⠀⠀⠀⠚⠋⢀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀ ⠀⠀⣠⠞⠁⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢶⣄⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⡿⣿⠀⠀⠀⠀⠀ ⢤⣾⣿⣶⡶⠾⡿⢿⣉⡽⢻⡉⣸⣿⣿⣿⣭⣿⣿⣿⡟⠿⣿⣿⣿⣯⣵⣶⣶⣶⣦⠶⠖⠀⣹⡆⠀⠀⠀⠀⠻⠄⠀⠀⠀⠀⣠⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⠲⡿⠀⠙⠁⠀⠛⠁⠈⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠟⠛⠛⠉⠁⠀⠀⢐⡶⠛⠀⠀⠀⠀⠀⠀⢀⡄⠀⠀⠀⢹⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣷⣤⣿⣿⠿⠛⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠷⢦⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠞⠁⠀⠀⠀⠀⢀⠏⠀⠀⠀⠀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⢦⣤⣄⣀⠀⠀⠀⠀⠀⠀⣼⡆⠀⠀⠀⠀⠀⠀⢰⣤⡀⠀⠀⢠⡾⠀⠀⠀⠀⢀⣿⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣙⡿⠿⠟⠛⢷⡾⠛⠀⣠⠀⠀⠀⣰⡄⠀⠉⠙⠶⣄⢸⣇⠀⣀⣠⠴⠋⠈⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡞⠋⠁⠀⠀⠀⢀⣾⢿⠀⣠⣿⣇⣠⠈⠟⠹⣆⠀⠀⠀⠈⢻⣿⠍⠉⠀⠀⢀⡴⠟ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⠀⠀⢸⡇⠀⠀⣷⠋⠿⠋⠀⠀⠀⠈⣷⠀⠀⢀⣴⠋⣦⣤⠴⠚⠁⢀⣴ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣉⡿⠶⢿⣇⡀⠀⠀⠀⠀⠀⠀⢀⣴⠛⢡⣤⠴⠋⠳⣤⣄⡙⠛⠛⢛⣿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢷⣶⣶⣺⡿⣄⡀⠀⠀⠀⠀⠀⠀⢷⣀⣿⣿⠦⠄⠀⢻⠈⠙⢿⣒⡋⠉⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠋⠁⢹⣿⣤⡀⠀⠀⠀⠀⠀⠀⠙⠛⠟⠃⠀⠀⣼⠳⣖⠚⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠛⠉⠻⣭⣓⠦⣀⣀⣀⣀⣠⠀⠀⠀⠀⣸⠟⠲⠿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡃⠀⠀⣼⠙⠛⠿⠿⠿⠿⠟⢺⡇⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢧⡀⠀⢻⣤⡀⠀⠀⠀⠀⠈⢹⡀⠀⣏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⠤⢼⠛⠛⣦⣼⠇⠀⠀⠀⠀⠀⢈⣹⡏⠉⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣫⠤⠖⡏⠁⠀⠀⡤⠴⠶⠯⣽⠆⣄⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⢿⣿⣿⣿⣿⣿⣿⠏⠀⠀⡀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢀⡀⠀⠙⣿⣿⣿⣿⣿⡄⠀⠸⠿⠃⠀⢸⣿⣿⣿⠟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠺⠿⠂⠀⣽⣿⣿⣿⣿⣿⣤⣀⣀⣀⡴⠟⠉⢸⣇⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣀⣀⣀⡼⠻⠻⣿⣿⡿⠛⠉⣄⠉⠁⠀⠀⠀⠀⢻⣖⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠙⠻⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡍⠁⠀⠀⢷⡀⠉⢀⣀⣠⣏⠀⠀⠀⠀⠀⠀⠀⢻⡆⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠙⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⢀⡟⠉⠉⠁⠀⠿⠃⠀⠀⠀⠀⠀⠀⠀⢿⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠈⠛⠻⣿⣿⣿⣿⣿⣷⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⠿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡃⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢦⣄⠀⢀⣀⣀⣀⣀⣀⣠⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⡶⠾⠛⠛⠋⠉⠉⠉⠉⠉⠛⠛⠻⠶⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠷⣦⣄⣤⣤⣤⣤⣤⣤⣀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠀⠈⠙⢿⣄⠀⠀⠀⠉⠙⠻⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠉⠳⣄⠀⠀⠀⠀⢸⠁⠈⢣⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⠹⣧ ⠀⠀⠀⠀⠀⠀⢠⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠸⡆⠀⠀⠀⠸⣇⠀⠈⣧⠀⠀⠀⠀⠻⣄⠀⠀⠀⠀⣿ ⠀⠀⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣧⣀⣠⣿⠀⠀⠀⠀⢻⣷⣾⣿⡆⠀⠀⠀⠀⠹⣆⠀⠀⢰⡿ ⠀⠀⠀⠀⢠⡿⢀⣠⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⡇⠀⠀⠀⠘⡿⠿⠟⣇⠀⠀⠀⠀⠀⢹⡆⢀⣿⠃ ⠀⠀⠀⢠⣾⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡌⠉⠀⡇⠀⠀⠀⠀⠹⡀⠀⡏⢀⣴⣿⣿⣿⠀⢿⡿⠁⠀ ⠀⢀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣶⣶⣶⣶⡄⠀⠳⣤⡼⠁⠀⠀⠀⠀⠀⠙⠚⠁⡈⣛⠟⠛⠉⠀⢸⣧⠀⠀ ⢀⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠿⠿⠃⠀⠀⢀⢲⡦⡀⠀⠀⠀⣀⣠⣤⣾⡿⠏⠀⠀⠀⠀⠀⣿⠀⠀ ⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⡯⠭⣭⣿⠿⠟⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⢶⣿⣿⡛⠛⠛⠛⠾⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠀⠀ ⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠞⠋⠁⠐⠛⠛⠋⠀⠀⠀⠀⠀⠈⢷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀ ⠈⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠁⠀⠀ ⠀⠀⠉⠛⠷⢶⣶⠶⠶⠶⠖⠛⠋⠁⣴⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢀⣾⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣦⠀⠀⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⢠⣾⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣷⣀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡏⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⠀⠀⠀⡤ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣶⣄⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⠀⢀⣤⣿⠏⠀⠀⠀⠀⠀⠲⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⠀⠀⠀⣠⡴⠋⣹⡏⠀⠀⠀⠀⠀⠀⠀⠈ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣋⣠⡴⠶⠛⠁⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠉⠉⠀⠀⠀⠀⠀⣴⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢷⣤⣄⣀⣀⣀⣤⡴⠞⠋⠀⠀⠀⠀⠀⠀⠀⢀⣼⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⢀⣤⣶⠆⢀⣠⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣷⣄⠀⠀⠀⠙⣛⣡⣶⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠠⠀⠐⠀⠄⠀⠀⠀⠀ ⠀⢠⠊⡠⠬⣭⠵⡆⢠⢶⣓⣆⠀ ⠠⠁⠀⠙⠩⠹⠙⠁⠈⠉⠋⠸⡆ ⠀⠀⠀⠀⠀⡀⠀⣀⠠⢤⠀⠆⢠ ⢀⠀⠀⠀⠀⠁⠉⠀⠀⠁⠀⠀⡌ ⠀⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠀ ⠀⠀⠁⠢⢀⠀⠠⡀⣀⠤⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⠝⠙⠉⠒⣤⡀⠀ ⠀⠀⠀⠀⢰⣧⡶⠒⡏⠉⠹⠃⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣧⠀⠡⢻⣿⢦⡀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀ ⣤⣤⣤⣤⣤⣤⣤⣤⣶⡾⢿⣿⣆⣴⣾⡇⢻⡇⠀⢠⣶⣦⡿⠗⠛⣋⠅⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡿⠿⠛⠛⠛⠒⠛⠡⠤⣷⡯⠥⢀⣀⠮⠄⣀⠑⡀⠀ ⠀⠀⠀⠀⠀⠀⢀⡤⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⢗⣚⣋⣭⣿⣉⣈⣀ ⠀⠀⠀⢀⣤⣶⠏⠀⠀⠀⠀⠀⠠⠀⡀⠀⠀⢀⡠⠄⣒⡂⠄⠹⡉⠉⠉⠉⠁⠀ ⠀⠀⢰⠖⠛⢻⠀⠀⠀⠀⠈⢀⠢⠬⠄⠠⠤⠐⣈⠥⠀⠀⠄⠀⣇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣄⠤⡀⠀⠠⢄⡉⢔⠒⠒⢂⢉⠀⠀⣀⣄⡂⠠⠛⠆⠀⠀⠀⠀ ⠀⠀⠀⡤⠤⠴⡇⢒⠘⡄⢻⡷⣒⠠⢵⣄⡀⣦⣠⣮⠔⣂⣽⠃⠆⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⡄⠣⡈⠀⠑⠂⢬⣭⢭⢿⠉⠙⠫⣤⠖⢁⠌⣰⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠈⠢⢀⠑⠢⠄⣀⣈⡁⠀⡆⠀⠀⠘⡔⣡⡾⠛⠶⠶⠒⠒⠒ ⠀⠀⠀⠀⠀⠀⠸⠂⠀⠀⠉⠐⠂⢤⠤⢤⢤⠁⠀⠀⠀⢸⡏⠁⠀⢰⣶⣶⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⡸⡄⠀⠀⢀⡞⠁⠀⠀⢘⣼⣿⡋⠀ ⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⢲⠀⠀⣤⢇⣿⣄⠈⠑⢲⠋⠀⠀⢀⡠⠚⡿⡀⠉⠙ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⡘⠘⣴⠻⡇⠆⠀⢸⠀⠀⢠⠎⠀⠀⠃⠁⠀⠀ ⣤⠤⣤⡤⣤⣄⣀⣀⣀⣀⣀⣀⡇⠀⡆⠀⢠⢸⠀⢸⠀⢰⠃⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⣴⣶⣶⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⠿⠛⠋⠉⠁⠀⠀⠀⠀⠉⠙⠻⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⠟⠋⠁⠀⠀⠀⠀⠀⢀⡴⠞⣟⠉⣻⠦⡌⢻⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣾⣿⡋⠁⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⣼⣿⣶⣿⣇⠘⡘⣿⡿⠿⢶⣦⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣴⡿⠋⠉⠉⠙⠻⣦⡀⠀⠀⠀⠀⠀⢀⣀⣷⣠⣿⣏⣟⣹⣿⣠⣿⣿⠃⠀⠀⠙⣷⠀⠀⠀⠀ ⠀⠀⠀⣴⣾⠿⣿⠁⠀⠀⠀⠀⠀⠙⣷⣤⠴⠖⠚⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠲⢦⣴⣿⠀⠀⠀⠀ ⠀⠀⢰⣿⠇⠀⢻⣇⠀⠀⠀⠀⠀⠀⢸⣧⣀⡀⠀⠀⠀⢀⣀⣀⣀⣀⡤⠤⠤⠤⠤⢤⣤⣤⣤⣌⣻⣷⡄⠀⠀ ⠀⠀⠸⣿⡆⠀⠈⢿⣦⠀⠀⠀⠀⠀⢸⣿⠀⠉⠉⠉⠉⠉⣀⠀⠀⠀⠀⠀⣀⠀⠀⠈⣿⣿⣿⣿⡿⠿⠃⠀⠀ ⠀⠀⠀⢻⣷⡀⢀⣤⠿⢿⣦⣤⣤⣴⠿⠁⠀⠀⠀⠀⠀⡞⠙⣧⠀⠀⠀⡾⠙⣷⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣿⣿⠋⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⣿⠀⠀⢸⣇⠀⣸⡆⠀⠘⣿⣧⣤⣤⣄⡀⠀⠀ ⠀⣴⡿⠛⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠸⣿⣿⣿⠁⢀⣼⡿⠋⠉⠉⠉⠻⣷⡀ ⣼⡟⠀⠀⠘⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⠇⠀⠀⠀⢿⣿⠏⣰⡿⠋⠀⠀⠀⠀⠀⠀⢹⣷ ⣿⡇⠀⠀⠀⠹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⢀⣼⠟⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿ ⢸⣇⠀⠀⠀⠀⠹⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠁⠀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇ ⠈⣿⡄⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀ ⠀⠸⣷⡀⠀⠀⠀⠀⠀⠈⣿⣷⣦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀ ⠀⠀⠙⢿⣄⠀⠀⠀⠀⣰⡿⠁⠉⠛⠻⠿⠷⠶⣶⣶⠶⠶⠿⠿⠛⠋⠁⠀⠙⢷⣦⣀⡀⠀⠀⣀⣴⡿⠁⠀⠀ ⠀⠀⠀⠀⠙⠿⠶⠶⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠿⠛⠉⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⠿⠿⠿⣶⣤⣤⣤⢤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠛⠁⠀⠀⠀⠀⠀⠉⠻⣿⣦⠈⠉⢛⣿⣿⣶⣶⣶⣤⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣴⡿⠋⠀⠀⠀⠀⠙⠻⣷⣦⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⢿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠁⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠋⠀⣸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⢀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⠀⠀⠀⢸⣿⠀⠀⠀⢀⣠⣶⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠃⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠀⠀⠀⢸⣿⠀⢠⣶⣿⣿⡿⠁⠙⣿⣆⠀⠀⠀⠀⠀⠀⣼⣿⣿⣿⣿⡿⣿⣆⠀⠀⠀⠀⠀⠀⣼⣷⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠀⠀⠀⠀⡎⣿⣷⣿⣿⣿⣿⣷⣤⣤⣼⣿⡆⠀⠀⠀⠀⣰⣿⣿⣿⡟⠀⠁⣸⣿⠀⠀⠀⠀⠀⢰⣿⣹⡆⠀ ⠀⠀⠀⠀⣠⣶⣾⣶⣶⣲⢤⣀⠀⠀⠀⠀⢹⡇⠀⠀⠀⣼⠁⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⣴⣿⣿⣿⣿⣿⣶⣾⣿⣿⠀⠀⠀⠀⢠⣿⠏⣿⡇⠀ ⠀⠀⣠⣿⠟⠉⠀⠀⠀⠈⠉⠻⣝⣦⡀⠀⢸⡇⠀⠀⠀⡟⠀⠀⠘⢿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⢀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⣠⣾⠏⠀⣿⠇⠀ ⠀⢰⣷⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⢆⠘⣿⡀⠀⠀⡇⠀⠀⠀⠀⠹⢾⣻⣿⣿⡿⠋⣁⣀⣴⡿⠏⠈⠿⣟⣿⣿⣿⣿⡿⠋⠀⠀⣀⣴⡿⠃⠀⢸⣿⠀⠀ ⠀⣿⡟⠀⠀⠀⠀⢀⣠⣤⣄⣀⣀⠀⠈⠻⣷⣿⡇⠀⠀⡇⣀⠤⠀⠀⠀⠀⠈⡙⠛⠛⠛⠛⠛⠉⣠⠀⠀⠀⠈⠙⠛⣿⠿⠿⠿⠿⠿⠛⠋⠀⠀⠀⠀⠈⢳⡄ ⢰⢏⡇⠀⠀⠀⢰⣿⠋⠉⠉⠛⠛⠿⠶⡶⠿⠛⠁⠀⠀⣿⠁⢤⡀⠀⠀⠤⠚⢃⣀⠀⠀⣀⣤⣾⠟⠀⠀⠀⠀⠀⠘⠻⣷⣦⠀⠀⠀⠰⣄⠀⠀⠀⢀⡤⠞⠁ ⢸⢸⠀⠀⠀⠀⠈⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡆⠀⠀⠀⠀⠀⠀⠈⣻⢻⣿⣿⣿⣭⣓⠲⠦⠤⣤⣤⢴⣶⡿⠋⠀⠀⠀⠀⠀⠉⢉⣾⡟⠀⠀⠀ ⠈⣾⡇⠀⠀⠀⠀⠀⠙⢿⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⣿⢸⣷⣿⣶⣯⣉⣙⣻⣿⣿⣿⡿⣽⠇⠀⠀⠀⠀⠀⠀⢠⣾⡟⠀⠀⠀⠀ ⠘⢻⣿⣄⠀⠀⠀⠀⠀⠀⠈⠻⢿⣦⣤⣀⠀⠀⠀⠀⠀⠀⠀⠙⢦⡀⠀⠀⠀⠀⠙⣎⠻⣿⣿⣿⣿⣿⣿⣿⣿⢿⣽⠏⠀⠀⠀⠀⠀⢀⣴⡿⠏⠀⠀⠀⠀⠀ ⠀⠀⠛⠿⢷⣦⠤⢀⣀⣀⣀⠠⢄⣈⡽⠟⠛⠷⠤⠴⠴⠶⠦⢤⣤⣷⡀⠀⠀⠀⠀⠈⠛⠮⣽⣛⣛⣛⣛⣻⠵⠟⠁⠀⠀⠀⠀⣠⣴⡿⠛⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⠉⠓⠒⠒⠚⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠻⣷⣶⣤⣄⡀⠀⠀⠀⠈⠉⠉⠉⠁⠀⠀⢀⣠⣤⣶⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠒⠿⠿⠿⠶⠶⠶⠶⠿⠿⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠚⡆⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠈⠀⠀⠈⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡀⢄⡒⠉⠀⣀⠀⠀⠀⠀⠀⢀⣀⡀⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⡀⠄⠂⡡⠒⠁⠀⠀⠀⠀⠈⠐⢖⠊⠉⠁⠀⠈⠑⢄⠀⠀⠀⡇⠀⠀⠀ ⠀⢰⠁⠀⠀⡸⠀⢀⠤⠒⠈⠉⠉⠑⠒⢬⡄⠀⠠⠤⠤⣤⣠⣀⡀⠀⡇⠀⠀⠀ ⠀⡇⠀⠀⢰⠁⠀⠀⠀⠀⣀⠤⣐⠲⠶⠶⠞⣦⡀⢀⣀⠐⠒⠶⠼⣷⣇⠀⠀⠀ ⢠⠁⡰⢿⠇⠀⠀⢠⠴⠍⠒⢁⣀⣤⣤⣴⡒⠒⢻⠤⠄⠐⣲⣶⣶⡚⠛⢆⠀⠀ ⢸⠎⠀⠀⠀⠀⠀⠀⠉⢙⡩⢁⣠⣿⣿⣿⡿⢤⡮⠄⢀⣸⣿⣿⠿⢷⡤⠃⠀⠀ ⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠒⠒⢒⡢⠞⠋⠀⣄⡀⠀⢀⣀⠤⠊⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠈⠓⣄⠀⠑⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠞⡡⠤⠤⠤⠤⠄⠒⠒⣊⣉⣉⣉⣉⣉⣉⣉⣉⣳⡄⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⡀⠒⠒⠒⢈⣉⡁⠤⠤⠄⠐⠒⠒⠒⠠⠤⢌⡳⡆ ⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁ ⣝⣷⣶⡤⢄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠒⠁⠀ ⣿⣿⢭⣻⣿⣶⣲⡭⣭⣭⣍⣀⣀⣀⣀⣬⢭⣿⠻⣭⣀⠀⠈⠉⠉⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣷⣄⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⡼⡆⠀ ⠀⠀⠀⠀⠀⠤⠀⠤⡀⠀⢀⣆⣤⠀⠀⠀⠀⢀⡀⠤⠀⠀⠠⠤⣘⡀⠀⢃⠀ ⠀⠀⠀⢀⠎⠀⠀⠀⠀⠁⠪⠉⢷⡀⣀⠔⠈⠁⠀⠀⠀⠀⠀⠀⠀⠁⢂⠀⠆ ⠀⠀⠀⡌⠀⢀⠰⠀⠀⠀⠀⠀⠀⠈⠁⠢⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀ ⠀⠀⠀⠁⠀⢁⠤⠮⠿⢷⣀⠠⣲⣖⠀⠀⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠁ ⠀⠀⠀⠀⢜⠀⠀⠀⠰⣶⣤⠈⠁⠀⠀⠡⡀⢘⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠉⢐⠖⣤⠤⠤⠄⢀⣀⣀⣀⣀⡺⡐⠁⡄⠀⢸⠁⠀⠀⠀⠀⠀ ⠀⢀⡀⠀⠠⠤⡇⠀⢏⣀⣀⣠⢰⠃⡘⠀⠀⠀⠣⡀⠇⠀⡈⢆⠀⠀⠀⠘⠀ ⡞⠁⡤⠀⠒⠺⣆⠀⠙⠊⠀⠊⢁⠠⠁⠀⢀⠀⢄⣊⣡⠸⠜⡕⠉⠀⡠⠃⠀ ⠑⠤⢈⠁⠒⢄⠈⠙⠶⣶⠶⠎⠒⠀⠈⠁⠀⠀⠀⠀⠘⢄⠁⡀⠈⠁⠀⠀⠀ ⠀⠀⠀⠈⠑⢆⠀⠸⣯⣭⠃⠀⢀⠤⣔⡂⠈⢉⠭⠭⠀⠉⠤⠜⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⢀⠴⠚⠉⠉⠑⠦⠴⠚⠋⠉⠒⢄⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⠋⠀⠀⠀⠀⠀⠀⠀⠸⣄⠀⢘⡄⢷⠀⠀⠀ ⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣏⠀⣼⠀⠀⠀ ⠀⠀⠀⠀⠈⢇⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢠⠏⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢣⡳⣄⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⠢⣕⠢⢄⢀⡠⠖⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⡴⠒⠦⣄⠀⠀⠀⠉⠉⠁⠀⠀⣀⡤⠤⢄⡀⠀⠀ ⢀⡞⠁⠀⠀⠀⠈⠛⠉⠉⠉⠉⠉⠉⠲⠏⠀⠀⠀⠘⢦⠀ ⢸⡇⠀⠀⠀⠀⢀⡖⢳⠀⣠⠺⡄⠀⠀⠀⠀⠀⠀⠀⢘⡆ ⠀⢻⠇⠀⠀⢀⣾⣶⡏⢀⣿⣴⠇⠀⠀⠀⠀⠀⠠⢀⡾⠀ ⠀⡏⢠⠖⠓⡾⢿⡿⠀⠸⣿⣿⢠⠀⠢⣄⠀⠀⠀⢻⠀⠀ ⢸⠀⠈⠛⠚⠁⠀⠀⠺⠃⠈⠁⠐⠦⣴⠿⠀⠀⠀⢸⡆⠀ ⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀ ⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⡄⠀ ⠀⠈⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⣧⠀ ⠀⠀⡯⠙⠲⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠖⠋⠀⠀⡟⠀ ⠀⠀⢳⣤⢡⣤⠉⠛⣲⡶⠒⠲⣞⠛⢉⣀⠀⠀⠀⣼⠃⠀ ⠀⠀⠀⠙⠓⠧⠴⠚⠉⠀⠀⠀⠙⢦⣀⠈⠁⣀⡴⠋⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀

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just a daily reminder that Jesus loves every single one of you<3 he will wait for you no matter what and if you’re having a hard time to give your life to him just pray for his help<33 and if you are loosing faith, read romans 8:38-39. bye!

Seek Jesus Christ as your Lord and Saviour, stop looking at porn. It objectifies women and children, it taints your soul and pulls you further away from you God. Satan is corrupting your souls with this foul, vile content. You feel shame and guilt because you know it is wrong, porn is never healthy. If you are offended by this message, ask yourself. Why? Why does the mention of Jesus Christ evoke such negative thoughts? Truly ask yourself that. 💓✝

The creator of the universe and Heaven sent his only son to earth to spread the word, his name is Jesus. he was crucified on the cross by us. Jesus is coming back! there is not garruntee of tommorrow so turn to Jesus and repent for your sins now ✝️💗

Stop looking for nudes 🚫❌👍Because god is watching ✟✟

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𝟏cross + 𝟑nails = 𝟒𝙜𝙞𝙫𝙚𝙣ˎˊ˗

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡶⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣺⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⡰⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢯⡢⢄⠀⠀⠀⠀⠀⠀⡰⣹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⡪⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢿⣾⣶⣶⣦⣤⣤⣊⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢔⡥⠋⠀⢀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣥⠎⠀⠀⠈⠉⠉⠙⠛⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⣒⡽⠋⠀⠀⣠⠞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ 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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⡿⣿⢵⣾⣥⣿⣿⣿⡇⢳⠹⣿⡈⣿⣟⣿⣿⣿⣻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡧⡟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⢚⡰⣺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣭⣴⣿⣿⣿⣿⣿⣿⣿⡏⡇⣾⣿⣿⣿⣿⣿⣿⣿⡿⣿⣟⣷⣷⣟⣿⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⠀⠤⠤⠤⠄⢠⣶⡟⣵⠾⣳⠞⣱⣿⣿⣿⣿⣿⣄⠣⡙⣝⢮⡪⣾⢿⣷⡽⣎⢹⣿⣿⣿⣿⣿⣿⣿⣫⣼⣗⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡅⡰⢀⣿⣿⣿⣿⣿⡿⣿⣽⣾⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡗⣿⣿⢿⣿⣿⢿⣿⢿⣿⡗⣿⠛⠛⠋⠉⠀⠈⠹⡄ ⠀⠀⠀⠀⡠⠊⢉⣉⣤⣀⡀⠀⠀⢀⣤⣤⣲⣶⣿⢟⣯⠖⣋⣴⡿⣿⣭⣟⣽⣻⣿⣿⣿⣦⡈⠢⠝⢮⣻⣿⢷⣾⣷⣤⢿⢿⣿⣿⣿⣯⣽⣶⣿⡿⢔⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⢀⢹⣿⣿⢟⣿⣏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣮⣺⣟⣱⣷⣿⣿⣿⣏⣿⡏⠀⠀⠀⠀⠀⠀⢠⠇ ⠀⠀⠀⢠⣁⢴⣷⢿⣽⢬⣷⣾⣿⣿⣿⣟⣾⣿⠗⠋⣴⠾⣛⣵⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣢⣀⣙⠿⢯⣽⣛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢊⣾⣿⣏⡟⣮⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡻⣿⣿⣿⡿⣿⣿⣿⣼⣽⣿⣿⠀⠀⠀⠀⠀⠀⠉⠁⠀ ⠀⠀⠀⢸⠘⢿⣇⡝⢾⡭⣿⣿⣿⣿⣿⣿⠟⢃⢔⣾⣶⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣻⣿⣿⣿⣿⣿⣻⣶⣷⣾⣟⣿⣻⡦⣍⠻⣻⣿⣿⣿⣿⣿⣿⣿⣿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡸⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣪⡹⣛⣿⣿⣿⣻⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⣦⣶⣷⣿⠴⢗⠵⠗⣳⢾⢹⣽⣿⣿⣿⡟⠐⢡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⣿⣟⣿⣯⣿⣿⣾⣿⣿⣿⣿⣿⣷⣿⣚⣮⢻⣿⣿⣿⣿⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣆⢹⣿⣿⣿⣿⡿⢻⣿⣿⣿⣷⣹⢻⣟⣿⣿⣿⣿⣷⢿⡘⡎⣿⣿⣿⣿⣿⣿⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣁⡮⡷⡞⢿⣾⣿⡿⣿⣿⣿⣇⠰⣛⢿⣿⡿⠿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⢟⣿⣿⡿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣯⣛⣻⣟⢛⣥⢯⡏⢽⣷⢿⣷⣿⣽⣷⣿⣿⣻⣿⢰⡧⠹⢿⣿⣿⣿⣿⡏⠓⢋⠛⠷⠦⣄⡀⠀⠀⠀ ⣿⣿⣿⣿⣧⡴⠈⡿⢿⣞⢮⡿⣟⠿⣿⣿⣷⣬⣽⣦⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⡎⣿⣻⡀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠿⣿⣿⣿⣿⣿⠭⠏⠄⣾⡿⣸⣾⣨⡾⣿⣼⢯⣿⠟⡾⠗⠠⣽⣻⣷⣶⣇⡃⠀⠀⢀⣄⠀⠀⠀⠀⠀⠠ ⣿⣿⣿⣿⣏⡛⢯⣂⡂⣏⠛⡅⠾⠫⡸⣿⣮⠛⣟⡛⢿⠟⣉⢞⣿⠻⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⡏⡟⡇⣽⢿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠛⠋⠉⠉⠉⠁⠀⣿⡇⢻⣿⣿⣷⣿⣿⣿⣿⢿⠏⠀⣙⣿⣇⣻⠻⠻⣮⣧⢠⣿⣿⡂⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⢷⠙⣌⠛⠾⣲⡆⢉⢚⠑⢂⣜⢐⡻⣤⠃⢂⠔⢣⢚⠦⣛⣾⣾⣿⣿⣿⣿⣿⡿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⡿⣿⢹⣿⢣⣧⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡟⣱⢯⢿⣿⣿⣿⣟⢿⠟⢂⣴⣿⣿⣿⣿⣿⣿⣟⢿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀ ⣿⣿⣿⣿⣵⣰⢢⡕⢌⡘⢮⠫⣐⠑⠒⠕⡘⢦⡙⠤⠉⠨⠁⢈⠄⣻⣷⣿⣿⣿⣿⣿⡯⢽⣻⣾⢹⣿⣿⣿⣿⣿⡟⢿⢿⠟⣁⣲⠗⣼⣣⣿⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣅⡏⢸⣾⣿⡍⣩⠔⢠⣾⢫⣿⣿⡯⣭⣏⠙⠛⠂⠙⠻⠧⡈⢱⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡿⠈⠶⡄⠛⣷⢑⢦⠡⠌⠢⡌⠙⠀⡂⠈⠆⡑⠀⠀⢠⣾⣯⣿⣿⣿⣿⣿⣿⢰⣍⣷⢿⡘⣿⣿⣿⣿⣿⣻⣶⣬⣿⣿⣏⣾⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣿⡇⣿⣏⣿⣏⣱⣿⣻⣷⣾⣛⣿⣏⣾⣯⠃⠀⠀⠀⠰⣆⣁⠟⠀⠀⠀⠀⠀⠀ ⣿⣿⣿⡷⡿⠠⠙⢺⠃⠉⡂⠁⢀⠀⠀⠆⠠⠐⠡⠀⠀⠀⢠⠟⣱⣿⣿⣿⣿⡟⣿⣟⢷⣑⠽⣏⡀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣽⣿⣿⣿⣷⣿⣿⣿⣿⣿⣿⣯⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡳⣽⣿⠆⢾⡶⠩⣀⠀⠀⠀⠐⡀⠀⡀⠀⠉⠀⠀⢀⠀⢠⡿⢽⣿⣿⣿⡿⣻⢣⢎⡡⣮⣕⠃⠢⠅⢹⣿⣿⣿⣿⣿⣿⣿⣿⣯⣻⣿⣿⣿⠿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⣿⣿⢿⣿⣟⣛⣫⠽⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢯⢷⡯⢡⠓⣕⠞⠑⠁⠄⠐⠀⠀⠀⠀⠀⠂⠀⠂⣀⢔⣿⢳⣿⣿⣿⣿⣟⢦⠃⣞⣰⢇⡫⡜⠱⠀⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⠛⠿⠿⠝⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

yall need to quit, repent, and turn your eyes upon Jesus Christ. ✝ THE END TIMES ARE NEAR SO PLS GIVE YOUR LIFE TO JESUS

𝐈 𝐚𝐬𝐤𝐞𝐝 𝐉𝐞𝐬𝐮𝐬 “𝐇𝐨𝐰 𝐦𝐮𝐜𝐡 𝐝𝐨 𝐲𝐨𝐮 𝐜𝐚𝐫𝐞 𝐚𝐛𝐨𝐮𝐭 𝐦𝐞?" 𝐉𝐞𝐬𝐮𝐬 𝐫𝐞𝐩𝐥𝐢𝐞𝐝, "𝐓𝐡𝐢𝐬 𝐦𝐮𝐜𝐡" 𝐚𝐧𝐝 𝐬𝐭𝐫𝐞𝐭𝐜𝐡𝐞𝐝 𝐡𝐢𝐬 𝐚𝐫𝐦𝐬 𝐨𝐧 𝐭𝐡𝐞 𝐜𝐫𝐨𝐬𝐬 𝐚𝐧𝐝 𝐝𝐢𝐞𝐝 𝐟𝐨𝐫 𝐦𝐞.𝐈𝐟 𝐲𝐨𝐮 𝐛𝐞𝐥𝐢𝐞𝐯𝐞 𝐢𝐧 𝐆𝐨𝐝 𝐚𝐧𝐝 𝐉𝐞𝐬𝐮𝐬. 𝐏𝐮𝐭 𝐭𝐡𝐢𝐬 𝐨𝐧 𝐲𝐨𝐮𝐫 𝐩𝐫𝐨𝐟𝐢𝐥𝐞,𝐝𝐨𝐧'𝐭 𝐢𝐠𝐧𝐨𝐫𝐞 𝐭𝐡𝐢𝐬. 𝐁𝐞𝐜𝐚𝐮𝐬𝐞 𝐢𝐧 𝐭𝐡𝐞 𝐛𝐢𝐛𝐥𝐞 𝐢𝐭 𝐬𝐚𝐲𝐬 𝐢𝐟 𝐲𝐨𝐮 𝐝𝐞𝐧𝐲 𝐡𝐢𝐦, 𝐡𝐞 𝐰𝐢𝐥𝐥 𝐝𝐞𝐧𝐲 𝐲𝐨𝐮 𝐚𝐭 𝐭𝐡𝐞 𝐆𝐚𝐭𝐞𝐬 𝐨𝐟 𝐇𝐞𝐚𝐯𝐞𝐧. 𝐓𝐡𝐢𝐬 𝐢𝐬 𝐭𝐡𝐞 𝐬𝐢𝐦𝐩𝐥𝐞𝐬𝐭 𝐭𝐞𝐬𝐭: 𝐈𝐟 𝐲𝐨𝐮 𝐥𝐨𝐯𝐞 𝐆𝐨𝐝 𝐚𝐧𝐝 𝐉𝐞𝐬𝐮𝐬 𝐚𝐧𝐝 𝐚𝐫𝐞 𝐧𝐨𝐭 𝐚𝐬𝐡𝐚𝐦𝐞𝐝 𝐨𝐟 𝐢𝐭, 𝐜𝐨𝐩𝐲 𝐭𝐡𝐢𝐬, 𝐩𝐮𝐭 𝐢𝐭 𝐨𝐧 𝐲𝐨𝐮𝐫 𝐩𝐫𝐨𝐟𝐢𝐥𝐞.𝐆𝐨𝐝,𝐉𝐞𝐬𝐮𝐬 𝐚𝐧𝐝 𝐇𝐞𝐚𝐯𝐞𝐧 𝐰𝐢𝐥𝐥 𝐬𝐦𝐢𝐥𝐞 𝐮𝐩𝐨𝐧 𝐲𝐨𝐮

𝐫𝐞𝐦𝐞𝐦𝐛𝐞𝐫 𝐠𝐨𝐝 𝐢𝐬 𝐚𝐥𝐰𝐚𝐲𝐬 𝐰𝐚𝐭𝐜𝐡𝐢𝐧𝐠 †

(*☻-☻*) me when i see a picture of jeuss ♰

⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⡹⢯⡝⢎⡑⠈⠀⢀⠀⠐⠀⠀⠀⠀⠀⠄⡀⢢⠐⣄⢂⠒⣄⠒⡄⢢⡐⢄⠒⣌⠲⣐⠢ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣞⡟⢦⠙⠃⢈⣀⣀⣀⣀⣉⡉⠙⠛⠶⢦⣀⠀⠀⠐⠀⠂⠄⠊⠔⡂⠍⡜⠢⠜⡠⠑⡌⢒⠧⡑ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⠳⣎⣼⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡤⠀⠈⠛⠦⣄⠀⠀⠈⠀⢡⠘⠢⢌⡑⢣⣁⢣⡐⡌⡦⡑ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢷⣭⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⢦⣤⢤⡈⠳⣄⠀⠀⠂⢍⠢⢡⡘⢡⠎⠦⡙⡔⡧⠑ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡶⡤⠈⠓⠘⢧⡀⠈⠠⠑⠂⡜⠢⡜⢰⢡⡘⢥⢩ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠑⡄⠹⣆⠀⢁⠣⢌⠱⡌⢆⠣⢜⢢⢣ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⠀⢸⡄⢸⡆⠀⠘⢢⢱⠘⡌⢳⡌⡆⣧ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠳⠦⣄⡀⢿⡄⠐⡌⢦⣙⡱⢦⢱⢚⡴ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡦⠘⡇⠈⣷⡀⡘⢆⡲⢱⡍⣎⠳⣜ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠷⠦⣽⡀⢹⡇⠘⢦⡑⢧⡚⣬⢓⢮ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⣄⣸⡆⢸⡇⣈⢧⡛⢦⡝⢦⣋⢮ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⢿⣿⣿⣿⣿⠿⠾⣿⡇⢸⡇⣜⡲⣝⣣⠞⡧⢞⡼ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⣛⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⡷⣯⣟⢾⡹⣒⢣⠒⣴⡛⣸⠟⣡⣿⠙⣶⠹⣜⠶⣋⣗⢫⡞ ⣿⣿⣿⣿⣿⣿⣍⣳⣢⣽⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⢿⣻⣽⣯⢿⡽⣻⢾⣹⣎⡵⡈⢆⣱⠏⣴⣯⠾⢯⣥⣛⣶⣻⣼⣫⢷⣚⡿⣼ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣯⣟⣧⢻⢝⣻⢿⣯⣷⣛⡮⣱⣿⠞⠁⣸⣿⣰⣛⡾⣶⣻⣞⡷⣯⣟⣳⢏⣟⡷ ⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣳⣛⢾⡙⢮⠿⣷⣦⣽⣿⣿⢿⣤⣤⣾⣿⣞⣷⣿⣻⢷⣯⢿⣽⣳⢭⡟⣾⣹⢾ ⣯⡑⠆⠡⢤⣬⣝⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣽⣿⣿⣿⣿⣿⣿⣿⡳⣭⢋⣎⠹⡄⢫⠜⣛⡿⣿⣿⣿⡿⣽⣾⣿⢾⣿⣿⣟⡿⣟⣿⢾⡽⣧⣻⢧⣟⣾ ⣷⣿⣿⣶⣤⣌⠉⠻⢾⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⡽⣻⠶⣹⣿⣿⣿⣿⣿⣿⣿⣳⡜⡳⢌⡓⣬⣶⣿⣿⣹⣾⢳⣿⣿⣿⣿⣻⣿⣿⣯⢿⡿⣽⣿⢿⣻⡷⣯⢿⣾⣽ ⣿⣿⣷⣏⡿⣿⣿⡤⣈⢹⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣞⣯⢳⠯⡝⢦⠻⣿⣿⣿⣿⣿⣿⣷⣯⣵⣾⣾⣿⣧⣏⠳⣽⣏⣿⣿⣿⣟⣿⣿⣿⣿⣯⢿⣽⣻⣾⣿⣿⣿⣽⣿⣿⣿ ⣿⣿⢯⣿⡿⣭⢟⣿⣷⣎⠷⣞⣿⣿⣿⣿⣿⣿⣿⣿⣟⠮⡝⣍⠻⣜⣣⣿⢿⣿⣿⣿⣿⣿⣿⣿⡿⣿⡿⢿⣿⣿⣿⣾⣿⣻⣟⡿⣿⣻⣿⣿⣿⣯⢿⣞⡷⣿⣿⡿⣯⢿⣿⣿⣿ ⣿⣿⣿⢷⣿⣿⢿⡸⢿⣿⣿⢹⣾⣹⣿⣿⣿⣿⣿⣿⡏⢷⠹⣰⣿⡿⠁⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣁⣿⠀⢹⡷⣏⢿⡿⣿⣏⡿⣿⣿⣹⢿⣾⣹⣷⡿⣿⣹⣿⢿⣿⣿ ⣿⣿⢿⣟⡾⣽⢿⣟⣷⢻⣿⣿⡷⣯⢿⣿⣿⣿⣿⣿⣙⣦⢿⣏⣽⠀⡇⠀⠀⠛⣿⣿⣿⣿⣿⣿⣿⢿⣽⣿⣿⡇⠀⣼⣧⠈⠙⢿⣿⣾⣽⢻⡿⣭⢟⡶⣯⢷⣻⢷⣻⣯⣿⣿⣿ ⣿⣿⣟⣿⣿⣯⣟⡾⣿⣷⣻⢿⣿⡟⣻⣿⣿⡿⣿⡻⠿⢁⡿⢹⡇⠀⡇⠀⡴⠀⠉⢻⣿⣿⣿⣿⣟⣿⣿⢿⣿⣗⣾⣿⣿⡀⠀⣠⠼⣽⣮⢏⣷⡝⣮⢳⣏⢿⡼⣯⣷⣿⣿⣿⣿ ⣿⣿⢿⣾⣽⣷⡿⣽⢷⣻⢿⣿⡻⣿⡐⡎⣿⢇⠀⠙⣄⠘⢿⣿⣿⡀⣷⢀⡇⠀⠀⢨⣿⣿⣿⣹⢾⣿⡝⣮⣽⡿⠿⢿⣿⣷⣿⣿⠂⠘⣿⡿⣽⣻⣽⣳⢿⣿⣿⣽⣿⣿⣿⣿⣿ ⣿⣿⣿⣯⣷⣯⢿⣿⣯⣟⣮⣛⣷⡝⣧⢡⢹⡺⡄⢀⠈⠙⠲⢮⣽⠁⡏⢸⡇⠀⢣⠀⢿⣿⣿⣱⣿⡿⣜⡿⣯⢝⣻⣟⠿⣿⣿⣻⣷⠆⠺⣿⢷⣻⣷⣟⣿⣿⣾⣿⣿⣿⣿⣿⣿ ⣿⣿⣽⡿⣯⣿⣳⢯⢿⣾⢯⣷⡺⣷⢻⡈⡄⡇⣇⠀⢧⠀⠀⠀⢸⠀⢣⢸⡇⠀⠘⠀⢸⢲⣿⡿⢿⣜⣯⠽⣞⣾⡿⣎⣽⢲⣾⡟⠀⣁⢀⣿⣿⣻⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣟⣿⡿⣷⣟⡿⣿⣜⢻⣷⣿⡼⣿⡇⡇⠁⣿⠀⠈⣧⠀⠀⡎⠀⠘⢾⠀⠀⠀⠀⢠⠟⣿⣜⠿⣼⡽⣿⣽⣯⢳⠾⣏⢳⣾⠇⣨⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⡾⣽⣿⣞⡿⣽⢻⣧⣔⠙⢷⡽⡇⣿⠀⢹⠀⠀⢸⡄⢸⠁⠀⠀⣼⠂⠀⠀⠀⣿⠀⣿⣯⢿⣷⣻⠷⣿⣎⢯⡻⢔⣿⠋⣰⣿⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣷⣿⣷⣮⡹⢿⣞⣽⡌⣭⣆⣀⣉⠁⢻⠀⠘⣆⠀⠀⣷⠀⠀⠀⠀⣻⠀⠀⠀⠀⡇⢐⣿⣿⣿⣾⣽⣿⣿⣜⡣⣑⣾⠃⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⡷⣿⣞⡿⣿⣶⣍⠛⠦⠈⠙⠿⣿⣷⣾⡀⠀⢿⠀⠀⣿⠀⠀⠀⠀⡏⠀⠀⠀⢰⣇⣾⣿⣿⢿⣿⣿⣿⠿⣿⣵⡞⠁⡀⠀⢿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢿⣟⣯⣿⢯⣟⡿⣷⣦⣄⣀⡀⠈⢿⣷⣷⠀⠈⡇⠀⢹⠆⠀⠀⢸⠃⠀⠠⠀⣼⣿⣿⣿⣿⣿⣿⠿⣻⠃⠉⣹⠟⠁⡄⠱⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣻⣯⣿⣻⣽⣻⢷⣶⣶⣮⣍⠀⠀⠙⢿⡆⠀⢹⡀⣼⠀⠈⢀⡿⠀⠀⢀⣾⣿⢿⣿⡿⡯⠃⠀⠀⠀⠀⣰⠧⡘⠄⣧⠀⢸⡈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣟⣿⣯⣷⣿⣻⡽⣿⡽⣞⡤⣙⠆⠀⠀⠠⢷⠀⢸⡇⠃⠀⠀⣸⠇⣥⡶⠿⠿⢿⣷⠦⡙⢆⠀⠀⠀⠀⣰⡏⢆⡱⠌⢸⠀⢰⡇⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣽⣷⡿⣽⣻⢷⣻⢧⡙⡍⢷⡄⠀⠀⠠⠷⢤⣧⠀⡗⢰⣷⣯⣿⣦⣦⡀⠀⠈⠱⣌⠀⠀⠀⠀⢰⣿⡟⡎⠴⡩⢐⡀⢸⣷⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣟⣿⡼⣿⠿⡿⣿⢿⣧⣿⣼⡧⢿⣄⡀⠀⠀⠀⠘⢿⡠⠼⢿⣤⠣⣄⢘⠻⣄⡀⠀⠸⡄⠘⡇⠀⣸⣼⣿⡇⢧⠣⡜⢠⢸⣿⡀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⢿⣷⡿⣴⣴⣤⣤⣤⣤⣤⡀⠹⠁⡀⠘⠀⣠⡟⠳⣤⡀⢻⡧⣹⠈⣷⠀⢻⣆⠀⢣⠀⠸⣰⠃⢰⣿⣿⣣⡳⣘⠥⡺⢽⡇⢢⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣯⣿⡿⣯⣟⣷⣯⢞⡴⣘⣴⠟⠁⣠⣾⡁⠻⣦⠸⣷⡀⠹⡌⡆⠘⣧⠠⠿⣧⠈⣇⠀⢿⡄⠀⢹⣿⣿⣷⣍⢞⡱⢺⣿⠈⢧⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣽⣿⣽⣿⣽⡾⣽⡾⣭⣿⠃⢠⣼⡿⡭⢿⣆⢸⣧⢹⡇⠀⢹⡎⠀⢻⣇⡚⠜⢧⠘⡆⠘⣧⠀⠈⢻⣿⣿⣎⣿⣐⢻⡇⠀⠈⢣⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣻⣾⡿⣽⡿⣝⣿⠃⣠⣿⣿⣗⡿⣻⣽⠼⣿⡄⢷⠀⠀⣷⠀⣿⡧⠣⠀⠘⣇⠹⡀⢹⡆⠀⠀⠈⠻⣿⣳⣬⣻⠇⠀⠀⠀⢣⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣻⣷⣿⣿⡽⣿⢃⣾⣿⣿⣟⣮⣟⣷⣻⡧⣿⡇⢸⡄⠀⡗⢰⣿⠇⡈⠆⠀⠸⡄⢣⠀⢻⡄⠀⠀⠀⡈⠻⣾⣽⠀⢂⠀⠲⣀⣧⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⣿⣻⣿⢿⣽⣿⣿⣛⣶⣻⡼⣽⡇⣻⣿⠈⡇⠀⠃⣿⠁⠠⢀⠂⠀⠀⢹⣆⠁⠈⣷⡸⣦⡀⠹⢆⠙⢿⢄⠀⠱⡄⠈⢳⣷⡻⣭⢏⢻⣻⢿⡿⣿⣿

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