Thomson's Gazelle Emojis & Text

🦌💨

⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣠⡴⠞⣋⣭⣥⡴⢶⡲⣖⡲⢶⡬⣭⣝⡛⠶⣤⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡾⠋⣴⣻⡽⣚⡶⣽⣣⢷⣣⣟⠶⣝⡶⣪⣝⡻⣬⠻⣆⡀⠀⠀⠀ ⠀⠀⠀⠀⢼⡇⠈⠻⣵⢻⣭⢳⢧⣏⢷⡹⣎⢿⡹⣞⡵⣎⣷⠽⢃⣟⠙⠻⣦⡀ ⠀⠀⠀⠀⢸⡇⠠⠁⡌⠙⡚⠝⠾⠜⢧⠻⠼⢣⠟⡜⢓⡋⢤⠊⡔⣾⣿⣔⠌⣿ ⠀⠀⠀⠀⢸⡇⠄⠡⡀⠃⠜⣐⣢⣘⠄⢢⣑⣂⡒⢌⠢⡉⢆⡱⢢⣿⡿⢏⣘⣿ ⠀⠀⢀⣠⡶⢿⡈⠐⠠⢁⢢⠋⠀⠀⠙⠒⢡⢂⡝⢦⠑⡌⡒⠴⣹⢋⣔⣣⡾⠃ ⠀⣴⠟⠁⡀⠀⢧⡁⢁⠂⡘⡄⠀⠀⠀⠡⢂⠬⣐⡟⡰⢌⡱⢣⡯⢶⣩⢛⢷⡄ ⣿⠇⢀⠂⠄⢁⠈⢳⡀⢂⠐⡈⠲⣄⠈⠄⢃⡼⢚⠴⡑⣊⡴⣏⢳⢣⢎⡭⠎⢿ ⢿⡆⠀⠄⡈⢀⠂⠄⠙⢦⣐⠠⣁⠤⣉⠏⣍⠲⣉⠦⣱⢞⡱⢎⠣⢎⢂⠦⣉⣾ ⠌⠻⣆⡐⠠⢀⠂⢈⠐⢀⠈⡙⠒⠳⠸⠜⡰⢓⢊⡍⠥⡊⡔⣊⠱⢌⠒⣢⡾⠋ ⠀⠀⠉⠻⢶⣤⣈⠀⠂⠄⢂⠠⠈⠄⡑⢌⠰⡁⠦⡘⢢⠱⡐⢢⣱⣮⠿⠋⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠛⠻⠶⠦⣦⣬⣴⣤⣬⣦⣵⣦⡵⠶⠟⠛⠋⠉⠀⠀⠀⠀⠀

⠀⠀⠀⢀⣠⡤⠶⠒⣒⣚⣛⣿⣿⣿⣿⣟⣒⠶⢶⣦⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠸⢧⣶⣾⣿⣿⣿⣿⣿⣿⣶⡶⠆⠈⢙⣻⣐⣦⠿⣀⣀⣀⠀ ⠀⠀⠀⢰⡀⠀⠈⠉⠉⠉⠛⠛⠛⠛⠛⠋⠹⣟⣛⡂⠀⢰⠤⠕⢜⣳ ⠀⠀⠀⢸⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⡀⠒⣺⢃⢰⡾⠀⠀⣶⣿ ⠀⠀⠀⠀⣶⢡⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢌⣣⠇⣀⢎⡼⠃ ⠀⣀⠤⣐⠺⣧⢊⠆⠀⠀⠀⠀⠀⠀⠀⢀⣇⣠⢊⡾⡟⣩⡶⣋⠁⠀ ⡎⢰⠉⠀⠀⠘⢆⠪⠀⠀⠀⠀⠀⠀⣠⣾⡟⢁⣿⠏⡡⠀⢩⡂⣷⠀ ⠈⠒⠷⣶⣽⣶⡶⢬⣔⣂⣠⣤⣶⣶⣶⣄⣐⣮⠤⠶⢞⣛⡽⠚⠁⠀ ⠀⠀⠀⠈⠑⠋⠭⠔⠒⣶⣿⣒⣚⣛⣛⣛⡒⠾⠿⠟⠛⠉⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⡾⠛⠋⠉⠁⠀⠀⣀⣀⣀⣀⣀⣀⠀⠀⠉⠉⠛⠷⣦⣀⣀⠀⠀⠀ ⠀⠀⠀⠀⣟⢧⡴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣠⢿⣁⢈⡙⢦⠀ ⠀⠀⠀⠀⢿⠑⡮⢭⣓⣛⠻⠿⠿⠭⠭⠭⠿⠿⠿⠛⣛⣋⡭⡖⣹⢸⡉⢫⡜⡇ ⠀⠀⠀⠀⠘⡄⠁⠐⠀⠯⠍⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠐⠉⢁⡯⠝⠋⠄⢦⠃ ⠀⠀⠀⠀⢀⣱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡀⠔⢀⡼⠋⠀ ⠀⣠⡴⠞⡉⠅⠿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠓⠲⢬⡛⠶⣄⡀ ⣾⡏⢠⡎⠀⠀⠀⠈⠳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠋⠀⠀⠀⠀⠈⢣⠈⣷ ⠹⣷⣀⠑⠦⣄⣀⠀⠀⠙⠲⠦⠤⣤⣤⣤⡤⠤⠴⠚⠁⠀⠀⢀⣀⡤⠖⢃⣴⡟ ⠀⠈⠙⠻⢶⣤⣄⣉⣙⠓⠒⠒⠲⠤⠤⠤⠤⠴⠒⠒⠒⢛⣉⣉⣤⡴⠾⠛⠁⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠴⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠒⠶⠤⡀⠀⠀⠀⠀⠀⠀⠀⣸⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡤⠴⠿⠂⠀⠀⠀⠀⠀⣠⠿⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠤⠖⠛⠋⠉⠀⠀⠀⠀⠀⢀⣀⣠⠤⠔⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡤⠶⠚⠉⠁⠀⠀⠀⢀⣀⣠⠤⠤⠒⠒⠊⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢠⡞⠉⠀⠀⠀⠀⢀⣤⠖⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠸⣷⠇⠀⠀⠀⠀⢯⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠛⠛⠛⠛⠓⠒⠿⠿⣟⡛⠓⠒⠒⠛⢒⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⡤⠦⠴⠾⡿⠒⠛⠛⠛⣳⠿⠷⢤⣤⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣤⣶⠟⠛⠉⠉⠁⠀⢀⣠⠞⠁⠀⣠⡤⠚⠁⠀⠀⠀⠈⠉⠙⠻⢷⣶⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣏⠀⠀⠀⠀⠀⣀⣤⣯⣤⣤⣴⣿⣿⣶⣦⣤⣤⣤⣀⠀⠀⠀⠀⠀⠉⢻⣧⠀⠀⠀⠀⠀⠀ ⠀⢰⣿⣿⣿⣄⣤⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣶⣤⡀⠀⢰⣿⡇⣀⣀⡀⠀⠀ ⠀⠸⣿⣿⣿⣿⣟⣯⡿⣿⡛⢛⣭⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣟⣦⣼⣿⣿⣿⣷⣿⣿⡟⣉⡉⠙⣧⠀ ⠀⠀⢹⣿⣿⣿⡿⢿⡿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠋⠉⠁⣼⡿⠋⠉⠹⡆⢸⡆ ⠀⠀⠀⣿⣿⣿⣿⣤⡄⠀⠀⠉⠉⠉⠉⠙⠋⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⢐⡿⠁⠀⠀⢰⡇⣸⠃ ⠀⠀⠀⠘⣿⣼⣿⣿⣶⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠁⠀⣀⡴⠟⣸⠟⠀ ⠀⠀⠀⠀⠘⣿⣿⣿⣿⣾⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡿⣶⣖⣊⣭⠴⠋⠁⠀⠀ ⠀⠀⠀⠀⣀⣨⣿⣿⣿⣿⣿⣶⡔⣡⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⣏⡉⠉⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⣀⣴⠾⠛⠛⠉⣩⣿⣿⣿⢿⣿⣿⣿⣿⣠⣦⣤⣆⣀⣤⣠⣴⣿⣭⡉⠙⠛⢷⣦⠀⠀⠀⠀⠀⠀⠀ ⢰⡿⠃⠀⠀⠀⣼⣿⢿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠛⠛⠛⢋⣻⠀⠈⠙⣿⠄⠀⠀⣿⣷⡄⠀⠀⠀⠀⠀ ⣿⣧⠲⡀⠀⠀⢿⣿⣏⡉⠉⠉⠉⠙⠛⠒⠺⠖⠒⠛⠋⠉⠉⠀⠀⣰⠟⠀⠀⠀⡎⣻⡇⠀⠀⠀⠀⠀ ⠙⠿⣷⣬⣷⢤⣈⡉⠲⠉⣇⠒⠒⠲⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠋⠁⠀⠀⢀⢀⣴⡿⠁⠀⠀⠀⠀⠀ ⠀⠀⠈⠛⠻⢿⣶⣭⣿⣶⣤⣤⣤⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⣀⣀⣤⣴⡷⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠛⠛⠛⠿⠿⠛⠿⠟⠛⠛⠋⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣤⣤⣤⣤⣤⣄⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⡾⠿⠟⠛⠛⢉⣉⣉⣉⣉⡉⣉⡉⡙⠛⠛⠿⠿⣷⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⠿⠛⠉⣀⣤⣴⡶⣟⢿⡻⣭⠯⣝⡭⡽⣍⠿⣹⣛⡟⡶⢶⣤⣌⡙⠻⢿⣶⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠟⠁⣠⣶⢿⣻⡽⣣⢟⡼⣣⢟⣴⢻⡼⣜⣳⣎⣟⡱⢮⡹⣭⠳⡞⣜⣻⢳⣦⡘⢻⣷⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠠⢼⡿⣭⡟⣵⣫⠷⣏⡿⣭⢟⡾⣭⢷⣫⠷⣞⢾⣹⢏⣷⢳⢯⡝⣞⡲⢏⡼⣻⡄⣹⣟⣦⢤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣻⣿⠀⠂⠌⢿⣧⣛⢧⣏⢿⡹⣞⡵⣫⢞⡵⣫⢞⡽⣎⢷⡹⣞⡼⣫⢞⡽⢮⡝⣯⣖⡟⢣⠐⣯⢉⡙⠛⢯⣶⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⣻⣯⠐⠈⠄⠠⠈⠻⠾⣜⣧⢻⣜⡳⣝⢮⡳⣝⢮⡳⣝⢮⡳⣝⢾⡱⣏⣞⣧⠿⠚⣁⠰⡁⠎⣿⣰⡨⡑⣂⠙⣯⣦ ⠀⠀⠀⠀⠀⠀⠀⣹⣷⠀⠌⠠⢁⠅⢢⠐⣈⢉⡉⠚⠑⠛⠮⠳⠽⠎⠷⠝⠮⠳⢋⠞⠱⡉⢍⡠⢆⡱⢌⠱⡘⠰⣿⡿⣿⣷⢨⠱⢺⣿ ⠀⠀⠀⠀⠀⠀⠀⢸⣿⡀⠘⣀⠂⠌⣀⠣⢐⠢⢌⠡⣉⠒⡐⢆⢂⠒⡐⢂⠆⡑⠢⢌⢡⠉⠦⡑⢢⠜⣠⠣⣁⢻⣿⣿⣿⡿⢃⠥⢻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠐⠠⢈⠐⠠⠠⢁⠘⢠⣡⠶⠓⠾⢤⡊⠑⣌⡦⠼⠦⣥⡌⢂⠍⢢⠑⡌⢲⢀⠳⣈⣾⣿⡿⢋⡑⢎⣸⣿⡟ ⠀⠀⠀⠀⠀⢀⣤⣾⠿⢿⡀⢑⠠⠈⠄⠡⠈⢄⡟⠁⠀⠀⠀⠀⠙⠛⠡⣀⠓⢬⠰⣙⣦⠊⢆⠱⡘⢤⡉⢖⣡⡿⣁⢆⠣⣜⣶⡿⢋⣀ ⠀⠀⠀⣠⣾⠿⠋⢁⠀⡘⣧⠀⢂⠉⠤⠁⠌⠸⡇⠀⠀⠀⠀⠀⡐⢈⡐⠤⢉⠆⠳⣄⣻⠐⡌⢢⡑⠦⣉⢆⡾⡑⣤⡮⢟⢿⣻⣕⠀⠀ ⠀⢠⣾⠟⢁⠠⠐⠀⢂⠀⠹⣦⠈⡐⠠⠁⠌⡀⢳⡄⠀⠀⠀⠀⡀⠂⡐⠢⠡⢎⡑⢦⡟⢠⠜⡡⢜⢢⡑⣾⡷⣛⢭⡚⡵⣊⡝⢿⣧⡀ ⣾⣿⠏⢀⠂⠠⢈⠐⠠⠐⠀⠹⣦⠀⢡⠈⡐⢀⠂⠙⢦⡀⠀⠀⢀⠂⠄⣃⠑⣢⡼⢏⡰⢃⢎⠱⡊⢆⣾⢋⠶⣩⢖⡱⢣⠞⣌⠧⢻⣷ ⣻⣿⠀⠀⠂⠁⠄⡈⠀⠄⠡⢀⠘⢷⡀⠢⠐⡠⢈⠐⡀⢉⠳⢤⣀⠌⣐⣤⠗⡫⢔⢣⡘⠬⣌⠓⣸⡾⢥⣋⢞⡡⢎⡵⢋⠞⣈⠦⣉⣿ ⢻⣿⡀⠠⠁⠌⢀⠐⠈⢀⠂⠄⢂⠈⠹⢦⣁⠐⠠⠌⡐⣀⠆⡔⢪⡙⣍⢢⠣⡑⢎⠴⣈⠓⣤⡟⠯⣔⢣⠞⡬⢓⢩⡐⢣⡘⠤⢒⣰⣿ ⠈⢻⣷⡀⠐⢈⠠⠀⡁⠠⠐⢀⠂⠈⠄⡀⠉⠛⠷⣬⣱⣨⠜⣨⠑⡔⣂⠣⡱⣉⣬⡲⠼⡛⢕⡊⡓⢌⠥⠚⣄⠣⢒⠌⡒⠬⡘⢢⣾⠟ ⠃⠀⠛⣿⣦⣀⠠⠁⠄⡐⠈⢀⠠⠁⡐⠠⠁⠂⠄⡀⠌⠉⡉⠍⠛⡉⢍⡙⢡⡉⡔⢰⢑⡘⢢⢡⡑⠪⢌⠓⡤⢉⠲⢌⡑⣢⣽⡿⠋⠀ ⠀⠀⠀⠈⠙⠿⣷⣤⣀⠀⡁⠂⠠⠐⠀⠄⡈⠐⠀⠄⡈⠐⠠⠌⡑⢈⠆⡘⢄⠆⡅⢣⢌⡘⢡⠒⣌⠱⢌⠒⡰⢉⣒⣬⣾⠿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⣶⣦⣅⣈⡐⠀⠠⠁⠌⠀⠄⡁⠂⠔⡈⠔⡨⢐⡡⢊⠔⡡⢆⡘⢡⠊⣄⣣⣬⣶⣷⡿⠟⠋⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠻⠿⠿⣷⣶⣶⣥⣦⣤⣥⣢⣤⣡⣆⣥⣴⣥⣮⣴⣶⣾⣷⠿⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⠤⠤⠤⠤⠔⠒⠖⢒⣒⣒⣖⡖⠖⠲⣶⠶⠦⢤⣤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠒⠛⣉⣥⠤⠶⠒⠚⠛⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠓⠒⠶⠤⢬⣉⠛⠲⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠟⠁⢠⡖⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢲⡀⠈⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⣀⠘⠳⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠞⠃⣀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠉⠓⠲⠤⣌⣉⣓⠒⠲⠤⠤⠤⢤⣤⣄⣀⣀⣀⣀⣀⣠⣤⡤⠤⠤⠴⠶⠒⣛⣋⣭⠤⠖⠚⠉⢰⠇⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠉⠉⠉⠙⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠒⠚⠋⠉⠉⠉⠀⠀⠀⣠⡶⠶⢿⠤⠖⠛⠉⠀⠀⠈⠛⢦⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢴⠏⠀⠀⠀⠀⢀⣠⠤⠤⣄⡀⠀⠈⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⡆⠀⢀⣠⠖⠋⠀⠀⠀⠈⢻⠀⠀⢸⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢲⣏⠁⠀⠀⠀⠀⠀⠀⣸⠀⠀⢸⠃ ⠀⠀⠀⠀⠀⣀⡤⠴⠒⢛⣉⣩⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⢭⣍⣙⠒⠲⠤⣄⣴⠋⠀⢠⡟⠀ ⠀⢀⣤⠞⢋⣥⠴⠚⠉⠉⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠁⠀⠀⠈⠉⢙⡶⠟⠁⠀⣠⣟⠀⠀ ⣴⡏⢀⡾⠉⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠴⠾⠓⠲⠤⠤⠴⠚⠋⠀⠀⣠⡾⣯⠙⣧⠀ ⠹⣇⠘⢧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠀⣀⣀⠀⠀⠀⠀⠀⠀⣀⡴⠞⠁⣰⠏⢠⡿⠀ ⠀⠈⠳⢦⣿⠷⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠙⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠀⣠⠞⠉⠉⠉⠓⠒⠒⠚⣉⣁⡤⠖⣋⣡⠴⠋⠀⠀ ⠀⠀⠀⠀⠈⠙⠒⠦⣬⣍⣙⡒⠒⠦⠤⠤⠤⣬⣳⣄⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣹⣟⣁⡤⠤⠤⠤⠶⢒⣛⣉⣯⡷⠖⠚⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣟⠙⠓⠒⠒⠶⠦⠤⠤⠤⢬⣭⣭⣭⣍⣉⣉⣉⣉⣭⣭⣭⡭⠤⠤⠤⠤⠴⠖⠒⠒⠛⢙⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠒⠲⠤⠤⢤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣠⡤⠤⠤⠴⠒⠚⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠖⠒⠒⠒⠦⣄⣰⠯⣐⣒⢙⢆ ⠀⠀⠀⠀⠀⠀⣀⡤⠔⠊⠉⠐⠀⠁⠀⠀⠀⠀⣀⡼⣯⠎⠁⠈⡇⢻ ⠀⠀⢀⡠⢖⠫⠐⠈⠀⠀⠀⠀⠀⠀⣀⣠⠴⢚⡡⢴⣿⠀⠀⡰⢃⡞ ⣠⠲⠑⠈⠀⠀⠀⠀⣀⣀⣤⢴⣶⢫⠟⡓⢧⠇⠴⣆⣿⡰⣮⠞⠉⠀ ⢹⣝⣒⣒⣒⣚⣫⣉⡉⡖⢩⣵⡹⢴⡺⠃⠀⠙⠋⣩⣽⢿⡇⡤⡄⠀ ⠀⢳⡀⠀⠀⠀⠀⣬⣹⣸⠈⠛⠁⠀⠀⠀⠀⠀⠌⣶⣿⠮⣝⣫⠏⠀ ⠀⠀⢳⡀⠀⠀⠀⠑⠒⠁⠀⠀⠀⠀⠀⠀⠀⢐⠯⣲⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⡦⣷⠏⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⠀⠀⠀⠀⣀⣠⡽⢿⣥⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠲⠦⣤⣖⠚⣉⡡⠴⠚⢉⡴⡿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢯⠉⠉⠁⢀⣀⡤⠞⠋⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠒⠒⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠐⠏⢁⡀⠀⠀⠀⠀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣀⠠⠤⠀⠃⠀⣀⠤⠃⠀⠀⠀ ⠀⠀⡠⠐⠈⢁⠠⠄⠐⠂⠈⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠛⠠⠤⠵⠤⡤⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⡠⠔⠒⠊⡩⠋⣩⠝⠉⠑⠒⠦⣄⠀⠀⠀ ⠀⣼⣷⣤⣶⣾⣿⣿⣿⣿⣿⣶⣦⣄⣸⣆⢄⡀ ⠀⠸⣿⣟⠛⠲⠿⠿⠿⠿⠿⠟⠋⠉⣹⠃⢰⠁ ⠀⠀⠹⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⣠⡁⣔⠏⠁ ⠀⣠⠴⢛⣿⣿⣶⣦⣄⣀⣀⣤⡚⠫⣄⠀⠀⠀ ⢸⡥⡀⢺⢟⡛⠛⠋⠍⠉⠚⢀⠜⠀⢘⡇⠀⠀ ⠀⠙⠛⠷⢶⣥⣤⣤⣤⣀⡀⠠⠤⠖⠊⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣴⣶⠶⠶⠶⠶⠶⢶⠶⠶⠲⠶⠶⠶⠶⠶⡶⢶⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣤⣾⠟⠋⠉⣀⣀⣤⣴⣶⣶⣶⣿⣿⣿⣿⢿⠿⠿⠿⠷⠶⣭⣭⣍⣛⠫⠝⠻⢷⣦⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡷⣷⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣶⠆⠀⠀⠘⠻⢿⣉⣻⣶⣾⢿⠃⠀⣀⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡇⠀⠉⠙⠛⠻⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣶⣶⣶⠿⢿⣛⡛⠉⠀⢸⠛⠛⢿⠛⢿⣦⡀ ⠀⠀⠀⠀⠀⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⢀⡀⠀⢁⣀⣘⣻⣍⡭⣥⣤⠀⠀⡀⣼⠖⠒⠉⠙⡞⡜⣷ ⠀⠀⠀⠀⠀⠀⢿⠰⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠢⣄⠀⠠⠽⡤⢾⠾⢰⢡⢤⡿⠀⠀⠀⢠⣧⡇⡟ ⠀⠀⠀⠀⠀⠀⢸⡖⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢣⠀⠠⢷⠼⠀⡆⡜⣾⡇⠀⠀⢀⡜⢻⣷⠇ ⠀⠀⠀⠀⠀⠀⠀⢧⣧⢱⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠈⠀⡜⢰⢡⣿⠁⠀⣠⠞⣠⣿⠋⠀ ⠀⠀⠀⠀⠀⠀⢀⣸⣟⡄⢇⢰⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⠀⢀⡼⢡⣷⢻⡧⠔⢋⣥⣾⠟⠁⠀⠀ ⠀⠀⣠⣴⠞⣋⣩⠤⠿⣝⡌⣆⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣧⡤⣴⠏⣠⣿⣻⡏⣀⣺⣿⠿⢥⡀⠀⠀⠀ ⢠⡞⠁⡴⠛⠉⠀⠀⠀⠙⢮⠈⢢⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡞⠁⣴⣿⡿⠋⢩⠁⡈⠉⡳⡄⢹⣦⠀⠀ ⠸⣦⡆⢷⣀⠀⢠⣄⣀⠀⠀⠓⢄⣁⠀⠀⠀⠀⠀⠀⠀⠀⠠⠴⠿⠿⠟⠓⠀⣴⡿⠟⠁⠠⣞⣡⢃⣤⣷⢏⣼⡿⠀⠀ ⠀⠈⠓⠮⣿⣿⣶⣿⣿⣿⣿⣶⣤⣈⣙⠒⠲⠦⠤⠤⠴⠿⠿⠿⠿⠯⠥⠖⢒⣉⣤⣤⣶⠿⠿⠟⢻⣿⠿⠟⠉⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠯⣝⣛⠻⠿⠤⢬⣉⣉⣉⣉⣿⣟⣛⣛⣾⣿⣿⣿⣿⣯⣍⣉⣩⣤⣤⣴⣶⣿⡿⠟⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠓⠒⠲⠤⠤⠴⠧⠾⠦⣤⣬⣬⣤⣤⠤⠤⠼⠦⠬⠿⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣿⠆⠀⠀⠀⢀⡟⠀⠀⢀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⡏⠒⠀⠀⣠⠟⠀⠀⢠⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⡞⠀⠀⠀⠰⡏⠀⠀⠀⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⣧⠀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠳⠂⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣠⣤⣶⣶⣟⣛⡛⠛⣛⣛⣛⡛⠓⠒⠒⠒⣶⣤⣄⡀⠀⠀⠀⠀ ⢻⠛⠛⠻⠦⠤⠬⢭⣭⣩⣽⣿⣯⣽⠿⠿⠿⠭⠿⠿⡿⠀⠀⠀⠀ ⢸⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⠀⠀⠀⠀⠀⠀⢰⡷⣄⡀⠀⠀ ⠸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡿⠀⠀⠀⠀⠀⠀⣼⣄⠀⠙⢦⠀ ⠀⣷⠀⠀⠀⠀⠀⠀⠀⢰⠖⢻⡟⢲⡆⠀⠀⠀⠀⡟⠈⢷⠀⠈⣷ ⠀⢻⡀⠀⠀⠀⠀⠀⠀⣼⠀⠘⠆⢸⠁⠀⠀⠀⢸⣇⣰⠟⠀⠀⣿ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠙⠛⠛⠛⠛⠀⠀⠀⠀⣾⠉⠀⠀⣠⡾⠃ ⠀⠰⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠶⠶⠚⠋⠀⠀ ⠀⠀⢻⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠙⠒⠦⠤⣤⣀⣀⣀⣀⣀⣀⣀⣀⣴⠇⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⢹⣄⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣾⠁⠀⠀⠀⠀⠀⠀⠀⢻⡄⠀⠀⠀⠀⠀⢺⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⡄⠀⠀⠀⠀⠀⠀⠀⣿⠠⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡟⢰⠀⠀⠀⢀⣰⠟⠀⠀⠀⣠⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⡾⠀⠈⠀⠀⠀⣾⠃⠀⠀⠀⢰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⠁⠀⠀⠀⠀⢻⡏⠀⠀⠀⠀⡾⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠰⢿⣤⠀⠀⠀⠀⠀⠙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣀⣠⣴⣶⢾⣿⣟⣛⠛⠛⠋⢙⣉⣛⡋⠉⠙⠛⠛⠓⠲⠶⡶⣦⣄⡀⠀⠀⠀⠀⠀⠀ ⢻⡿⠿⢿⣿⣍⣉⣉⡉⠛⠛⠛⠛⠻⢿⣿⡛⠻⠶⢾⣟⣛⣛⣛⣿⣿⣿⡷⠄⠀⠀⠀⠀ ⢸⡇⠀⠀⠀⠀⠀⠉⠉⠉⠛⠛⠛⠛⠛⠛⣿⠟⠋⠉⠉⠉⠉⠉⠉⠀⣿⠁⠀⠀⠀⠀⠀ ⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠓⢦⣄⠀⠀⠀ ⠀⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⣾⣇⡀⠀⠈⢷⡀⠀ ⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡤⠴⣿⡷⢶⣦⠀⠀⠀⠀⠀⠀⣿⠉⢻⡆⠀⠀⢻⡄ ⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⢤⣿⡀⢠⡿⠀⠀⠀⠀⠀⢸⡏⠀⣠⡇⠀⠀⢸⡇ ⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣇⣀⣈⣂⣸⡇⠀⠀⠀⠀⠀⣼⣧⡴⠟⠁⠀⠀⣼⢃ ⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠃⠀⠀⠀⠀⢀⡟⠉⠀⠀⠀⣠⣾⠏⠀ ⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣧⣤⣤⡶⠾⠋⠁⠀⠀ ⠀⠀⠀⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠓⠒⠦⢤⣤⣤⣀⣀⣀⣀⣀⣀⣀⣤⣤⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⢠⣾⠟⠉⣁⣈⣉⠛⢿⣦⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⠶⠾⠛⠛⠋⠉⠉⠉⠉⣉⡉⠛⠻⣷⣤⡀⢰⡿⡧⠒⢉⣀⣀⡈⠑⢄⠻⣷⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⡶⠿⠛⠋⣁⡠⠤⠐⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⠽⢠⣾⠟⠋⠛⠻⣶⡀⢳⣹⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠿⠛⠉⠀⠀⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⢻⣿⣠⡿⠁⠀⠀⠀⠀⢸⡇⠀⢻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠾⠛⢋⣡⠤⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⠿⠋⠁⣸⣿⡟⠁⠀⠀⠀⠀⠀⣸⡇⠀⣸⡿ ⠀⠀⠀⠀⠀⠀⢀⣤⡶⠟⢋⣡⠤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⠿⠛⢁⢀⣠⣴⢟⣿⡇⠀⠀⠀⠀⢀⣴⡟⠀⣴⣿⠃ ⠀⠀⠀⢀⣴⠾⠛⣁⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣾⠿⠛⣉⠀⣠⠾⠟⠋⠉⠽⢚⣿⣇⠀⠀⢀⣰⡿⢋⣠⣾⠟⠁⠀ ⣀⣴⠞⢋⡤⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣴⣶⣿⡟⢛⣩⡷⠟⠛⠻⣿⣱⣯⡀⠀⣸⢿⡆⠈⣿⣿⢀⣴⢟⢉⣴⣿⠟⠁⠀⠀⠀ ⣿⣀⠒⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣤⣤⣴⣶⠿⢿⣻⣋⢹⣷⣾⠀⢻⠋⠀⢠⣦⠀⠈⢿⣌⡛⠛⢋⣼⣇⣾⣿⣿⡿⣱⣿⡿⠋⠁⠀⠀⠀⠀⠀ ⢿⣟⠻⠿⠿⢶⣶⣶⣶⣶⠾⠿⠿⠛⠛⠛⠋⠉⠀⣤⡞⠋⢉⡙⢷⡀⣿⣄⠸⣤⡴⣿⡿⠀⠀⠀⠙⠿⠿⠟⠋⠤⠛⣹⣿⢧⢻⣿⠁⢀⣀⣀⠀⠀⠀⠀ ⠘⣿⡿⠶⣤⣄⣀⣠⣤⣤⣤⣭⣭⣭⣥⣄⣲⢤⡀⢸⡄⠀⡞⣿⡾⢡⡟⠙⠷⠷⠾⠋⠁⠀⠀⠀⠀⠀⠀⢀⣠⣶⡿⣿⣿⠸⣸⣿⡀⠸⣏⢻⣦⠀⠀⠀ ⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢿⣯⠘⡇⠀⠻⠮⠶⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣋⡥⣔⣿⣿⣦⡋⠻⣷⣶⡿⣰⣿⠀⠀⠀ ⠀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⣅⣠⣿⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠩⣴⣿⣵⣿⡇⠙⠿⣶⣤⣴⡾⠟⠁⠀⠀⠀ ⠀⠀⠀⢹⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⣌⣩⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠿⢛⣁⣼⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢉⣵⠞⠛⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣡⠴⣒⣭⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⢻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣚⡽⣞⡫⣴⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣶⣯⣷⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣼⣶⣿⠿⣿⣶⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢿⣷⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⡾⠿⠛⠋⠉⣉⣤⣾⠟⡼⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣷⣶⣤⣄⣤⣴⡶⠿⠟⠋⢉⠀⢀⣀⣤⡶⠿⠛⠉⠠⣊⡴⣪⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣿⣯⣔⣒⣦⣤⣤⣶⠾⠛⠋⠁⠀⠀⠀⠀⣚⡵⣪⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣻⣍⡉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⣀⣼⣷⡿⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣯⣘⢻⠦⠀⠀⠀⠀⠀⢀⣀⣠⣤⣶⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠷⣶⣶⣶⣶⠾⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠸⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠹⣄⠀⠀⠀⣀⡴⣾⠿⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⢻⡛⠷⣄⠀⠀⠙⡇⠀⢰⠿⢹⣿⣷⣾⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣽⣿⠁⢹⡆⠀⢠⠇⠀⢸⠀⠀⠹⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⣸⠁⠀⠿⠀⠀⠸⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀⠀⠀⠀⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠟⠁⠀⠀⠀⠀⠀⠀⠀⠈⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣄⣀⣠⣤⣤⣤⠤⠴⠶⠶⠶⠦⣦⣤⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⡶⣿⣻⣿⣽⣷⣶⣦⣤⣴⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠲⢤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣼⡟⠾⣽⣿⣿⣯⢿⣿⠟⣛⡿⠛⠛⠛⠓⠛⠛⠛⠚⠛⢿⢷⠶⠦⠤⣤⣄⡀⣀⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⡶⠛⠉⣿⡷⣦⣄⣉⣉⠉⠛⠛⠛⠳⠶⢤⣤⣦⣤⣤⣤⣤⣦⣤⣶⣯⣷⡦⠴⠒⠚⣿⣭⡎⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣠⣿⢀⣴⡶⢿⡇⠳⢯⣉⣿⡁⢻⣿⠶⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠀⠀⠀⣩⡶⠀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣏⢸⠃⠀⠀⣿⠘⠷⢤⡄⠀⣄⣅⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠇⠀⠀⠀⢸⠟⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠸⣿⣏⡹⣇⠀⠀⢿⣇⠘⠲⠗⠀⣼⣯⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡿⠀⠀⠀⠀⠛⠁⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠘⣿⣷⠻⣆⠀⠘⣿⠘⠓⠒⠀⠤⡆⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣄⣀⣀⡀⠀⣰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣆⡙⠷⠶⢿⣦⠈⣛⡀⠘⠣⣤⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡏⠉⠉⠻⣴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠛⠿⠶⠾⠛⢷⣌⠩⣤⠻⠦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⡀⠀⠀⠀⠈⢳⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⢀⣀⣙⣷⣤⡛⠇⢠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢛⣦⣀⣀⡴⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣠⣤⠶⢶⠚⠛⠉⠉⠉⠉⠉⣻⣿⣗⡶⠦⠤⣤⣤⣤⣤⣤⣤⣤⡤⠤⠴⠒⠋⠁⡟⠛⠓⠒⠒⠒⠲⢦⣤⣤⣄⣀⠀⠀⠀⠀ ⣠⡶⣺⡿⠷⠚⢛⣻⣧⣤⡄⠀⠀⠀⠀⠘⣯⣇⢷⢦⢤⡀⢤⡈⣍⢡⣄⠀⠀⠀⠀⠀⣀⣴⠏⠀⠀⠀⠀⠀⡤⠄⢙⣛⠯⣍⠙⠲⣤⠀ ⠻⢾⣄⣀⣀⠞⠋⠉⠀⠰⠗⠛⣀⠶⠂⣀⡀⡉⠉⠙⠛⠛⠿⠷⠿⠿⠿⠶⠖⠚⠋⠉⠁⠀⠀⠀⠀⢰⡄⣀⠰⣞⣿⡿⣶⣟⣧⣶⡾⠃ ⠀⠀⠀⠀⠉⠉⠉⠛⠛⠲⠶⠶⠿⠶⠶⠿⠦⠧⠤⠤⠤⢤⣦⣦⣤⣤⣀⣀⣀⣠⣤⣶⣶⣦⠤⠴⠶⠾⠿⠿⠶⠾⠛⠛⠉⠉⠉⠀⠀⠀

⠀⠀⠀⠀⢀⠤⣐⠤⠝⠓⠒⠀⠀⠀⠀⠒⠚⠃⠤⣂⠤⡀⠀⠀⠀⠀ ⠀⠀⠀⠀⡧⡘⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⢃⢼⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠉⠉⠀⢠⠒⠒⠂⣁⠈⠢ ⠀⠀⠀⠀⠈⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠲⢠⠔⠁⠀⢱⠀ ⢀⠄⡢⠔⠂⠙⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠋⠐⢊⠔⠁⣔ ⢇⢇⠀⠀⠀⠀⠘⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⢂⡉⠉⠈⠁⠔⠪⠂ ⠀⠈⠑⠪⢤⡖⣀⣨⠦⠄⠀⠀⠀⠀⠀⠀⠀⠷⣅⣀⡐⣮⠗⠚⠁⠀ ⠀⠀⠀⠀⠀⠘⠠⢀⠀⠀⠉⠉⠉⠉⠉⠉⠁⠀⠀⠠⠊⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⣤⣤⣤⣤⣶⣴⣶⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⣶⣿⣿⣿⣿⠿⠿⠿⠟⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠙⠛⠛⠛⠿⠿⠿⠿⣿⣿⣿⣶⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⢿⣿⣷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⠋⠀⠀⠀⠀⠀⢀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣤⣤⣤⣤⣤⣄⣀⣀⣀⡀⠀⠀⠀⠀⠈⠛⣿⣿⣷⣴⢦⣤⣤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣇⠀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣦⣄⠀⢀⣿⣿⡏⠀⠀⠀⠉⠻⣷⣦⡀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣌⠻⣿⣝⡻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢿⣻⣴⡿⢛⣼⣧⠴⡒⣦⣤⡀⠈⢿⣷⡀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⠙⢷⣦⣍⠙⠻⠷⢾⣯⣭⣙⣛⣛⣿⣿⡿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⢿⣿⣛⣛⣫⣽⣽⣷⠶⠿⠛⠉⣡⣴⠟⡿⠁⣴⠛⠉⠳⣟⢆⠀⢿⣧⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⢰⠬⣛⠻⢷⣶⣦⣄⣀⣈⠉⠉⠛⠛⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠛⠛⠉⠉⣁⣀⣀⣤⣶⡾⢿⣛⠁⣀⣇⠀⣿⣄⠀⢀⠘⡌⣇⢸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣷⠀⠈⠓⠧⢄⣠⡌⠙⣛⠛⠻⠿⠿⠿⠶⢶⣶⣤⣤⣤⣤⣤⣤⣤⣶⣶⠶⠶⠾⠿⠿⠛⠛⠛⠉⢡⣐⡺⠽⠋⠀⣿⠿⣷⣤⣭⠿⠃⢰⠁⣿⢸⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣇⠀⠀⠀⠀⠈⠉⠑⠚⠛⠤⠴⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⢰⣿⠤⠒⠊⠉⠀⢠⠏⢠⠇⣼⠏⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠏⠀⠀⠀⢀⡴⠋⢠⢋⣾⠏⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡏⠀⢀⣠⠖⠋⠀⢀⣴⡿⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⣶⣿⠿⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠛⠛⠉⠀⢀⣠⣶⡟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣠⣴⣿⡿⠟⠋⠁⣀⡤⣼⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⠟⠓⠒⢲⣿⣟⡉⠛⠻⢿⣷⣦⣀⠀⠀⠀ ⠀⢀⣴⣿⡿⠛⠁⢀⣤⣖⠋⠃⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠋⠀⠀⠀⠀⠈⠙⠛⢷⣦⡄⠉⠻⣿⣷⣆⠀ ⢰⣿⣿⠏⠀⠀⣴⡿⠊⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡦⡀⠀⢹⣿⣷ ⣿⣿⣏⠀⠀⠀⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⡇⠀⠀⣿⣿ ⢹⣿⣿⣄⠀⠀⠙⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣼⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣾⠟⠀⠀⣰⣿⣿ ⠀⠹⣿⣿⣦⣄⠀⠀⠙⠛⠽⣶⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠉⠛⠻⠿⠷⢶⣶⣶⣶⣶⣶⣶⣶⣶⡶⠾⠿⠛⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⡲⠟⠋⠁⢀⣠⣾⣿⡿⠃ ⠀⠀⠀⠙⢿⣿⣷⣶⣤⣀⠀⠀⠉⠙⠚⠫⠵⣶⣖⣤⠤⢤⣄⣀⡀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣠⡤⣤⣴⣶⡶⠬⠛⠛⠉⠁⢀⣠⣤⣶⣿⣿⠿⠋⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠻⢿⣿⣿⣷⣶⣦⣄⣀⡀⠀⠀⠈⠉⠉⠉⠙⠓⠒⠒⠻⠶⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠓⠒⠒⠊⠉⠉⠉⠁⠀⠀⢀⣀⣠⣴⣶⣾⣿⣿⠿⠛⠉⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠻⠿⠿⣿⣿⣿⣷⣶⣶⣶⣦⣤⣤⣤⣠⣄⣀⣀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣴⣶⣶⣶⣾⣿⣿⡿⠿⠿⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠛⠛⠛⠛⠛⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠟⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⠤⠖⣒⡩⠭⠭⠖⠒⠒⠒⠒⠒⠛⠓⠒⠒⠓⠶⠭⠭⢉⣒⠲⠤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣰⠋⢀⡖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢲⡀⠙⡆⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣽⠢⣄⡙⠦⢤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠔⢋⣠⠔⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡀⠀⠈⠉⠒⠒⠤⠭⠭⠭⠝⠓⠒⠒⠒⠒⠛⠫⠭⠭⠭⠔⠒⠚⠉⢁⣄⣠⣇⡠⠴⠒⠒⠢⣄⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠏⠀⠀⠀⢀⡠⠤⣄⠀⠈⢣ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⢀⡤⠖⠁⠀⠀⠈⢃⠀⢸ ⠀⠀⠀⠀⠀⢀⣀⠤⠼⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣽⠦⠤⣄⣀⠀⢠⠇⠀⣸ ⠀⢀⡤⢒⣫⠥⠒⠚⠉⠉⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠉⠉⠙⠒⢢⠽⠃⠀⣴⠃ ⣴⠋⡴⠉⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠚⠓⠒⠀⠐⠚⠁⢀⡠⢺⡍⢣ ⠘⢦⡙⣦⣀⠀⠀⠀⠀⠀⠀⠈⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⢁⡠⠤⠤⣀⣀⣀⠤⠖⢉⡠⠚⣠⠏ ⠀⠀⠉⠛⠦⢍⣓⡒⠤⠤⢀⣀⣀⣙⣆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⣶⢋⣀⣀⡀⡤⠤⢖⣖⣭⠥⠒⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠻⢿⠒⠒⠂⠬⠭⠭⠭⠭⢭⣽⣏⣉⣈⣙⣿⡭⠭⠭⠭⠭⠥⠀⠒⠒⣻⠟⠛⠉⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡤⠖⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠓⠒⠒⠒⠒⠒⠒⠒⠒⠒⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠔⠒⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠢⠤⢄⣀⠀⠀⠀⠀⠀⠀⠈⢢⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⠨⠧⠀⠀⠀⠀⢀⡾⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣀⠤⠔⠒⠉⠉⠁⠀⠀⢀⣀⠤⠴⠚⠉⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡠⠖⠊⠁⠀⠀⣀⠠⠄⠒⠂⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣴⠀⠀⠀⠰⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠉⠁⠒⠒⠒⠛⠓⠶⣒⠀⠀⠀⠠⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣀⣤⠴⠶⠓⠓⢛⡟⠉⠉⢉⠽⠛⠓⠲⠦⣤⣄⡀⠀⠀⠀⠀⠀⠀ ⠀⢀⣶⡟⠉⠀⠀⠀⣀⣖⣉⣠⣴⣮⣥⣀⣀⡀⠀⠀⠀⠉⠻⣶⡀⠀⠀⠀⠀ ⠀⣾⣿⣧⣠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣷⣤⣄⠀⣸⣇⣀⣀⡀⠀ ⠀⢹⣿⣿⣿⣧⣿⣯⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣿⠿⠿⢿⣿⠥⢄⠹⡄ ⠀⠈⣿⣿⣿⣉⠉⠉⠛⠛⠛⠿⠟⠛⠛⠛⠛⠛⠉⠀⠀⠀⢠⡿⠁⠀⢸⠀⡇ ⠀⠀⠘⣿⣿⣿⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡞⠁⢀⡴⣋⠞⠁ ⠀⠀⠀⠙⣿⣿⣿⣷⡆⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡷⠭⠷⠊⠁⠀⠀ ⠀⢀⣤⠶⠿⢻⣿⣿⣿⣷⣷⣦⣀⣀⣀⠀⡀⣀⣴⡞⠻⠶⣤⡀⠀⠀⠀⠀⠀ ⣼⠋⠀⠀⢰⣿⣿⣿⣿⣿⣿⠿⠿⠿⠿⠟⣛⡏⠉⠻⡦⠀⠈⣿⡆⠀⠀⠀⠀ ⣿⣜⢆⡀⠸⢿⢯⡉⢉⣉⠉⠉⠛⠋⠉⠉⠉⠀⣀⠜⠁⠀⠀⢋⡿⠀⠀⠀⠀ ⠈⠙⠿⣿⣶⣦⣤⣈⣀⡀⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⠶⠛⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠙⠛⠻⠿⠿⠿⠿⠿⠿⠒⠒⠒⠚⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠓⠀⢀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢰⣿⢢⠀⡆⢰⠹⡾⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠁⡘⠀⠁⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣈⣀⣀⠠⠤⢅⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⢀⣰⠾⢿⣿⣿⡷⠟⠂⠂⠐⢦⠤⢄⣉⢲⠀⠀⠀⠀⠀ ⠀⠀⣴⡡⠼⣻⠴⠀⠖⠉⠉⠉⠉⠉⠉⡹⠁⢨⢹⠀⠀⠀⠀⠀ ⠀⠀⢿⣥⠀⠇⢚⠈⡍⠀⠀⠀⠀⠀⠀⡇⠀⠈⡌⠀⠀⠀⠀⠀ ⠀⠀⠈⠳⠵⠺⢌⢄⢕⡀⠀⠀⠀⠀⠀⡌⠉⠺⡀⠀⠀⠀⠀⠀ ⠀⠀⣀⣠⡤⠀⠀⢳⣯⠴⢀⣀⣀⣀⠠⠌⢲⠮⠤⠤⣀⣀⠀⠀ ⠐⠟⢉⣕⡓⠇⠠⢀⢙⠛⠃⠶⠶⠤⠀⠒⠁⠀⣄⢠⣾⣵⡭⠆ ⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣿⡿⠿⠿⢿⣿⣯⣥⣶⣷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⠾⠛⠋⠁⠀⠀⠀⠀⠀⠘⣿⣿⠉⠀⠀⠀⠉⠛⢷⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡾⠛⢷⡀⠀⠀⠀⠀⠀⠈⠻⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠀⠀⠀⠻⣄⠀⠀⠀⠀⢦⡀⠀⠹⣷⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠁⠀⠀⠀⢀⣤⣤⣤⣤⡀⠀⠀⠀⣠⠟⠁⠀⠀⠀⢠⣿⣦⣤⣀⠀⠈⠳⣄⠀⠈⢿⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠋⠀⠀⠀⠀⠰⠛⠛⠛⠛⠛⠁⠀⢀⡼⠋⠀⠀⠀⠀⠀⠘⠛⣿⠛⠛⠷⠀⠀⠈⠳⢄⠈⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢀⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⣧⠀⠀⠀⠀⠀⠀⠀⠱⢼⣷⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣰⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣆⠀⠀⠀⠀⠀⠀⠀⠀⢿⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⣼⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⣿⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣻⣦⠄⠀⠀⠀⠀⠀⠀⠘⣿⠀⠀⠀⠀ ⠀⠀⠀⣸⡿⢳⡏⠀⠀⠀⠀⠀⢀⣤⣾⣿⣿⠿⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣿⣿⣿⣿⣦⣀⣀⡀⠀⠀⠀⠀⢿⡇⠀⠀⠀ ⠀⠀⢰⣿⠃⣼⠃⠀⣀⣤⣴⣾⣿⣿⣿⣿⠟⢷⡄⠉⢻⡇⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⡿⢷⡌⠙⢿⣿⣿⠏⠀⠀⠀⠀⢸⣿⡄⠀⠀ ⠀⠀⣿⡇⢠⡟⠀⢀⣿⠻⣿⣿⣿⡟⠁⠀⢀⣤⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡿⢛⡃⠀⣿⠀⠀⢿⣿⡄⠀⠀⠀⠀⢸⡿⣷⡀⠀ ⠀⢸⣿⢀⡿⠁⣠⣾⠃⠀⠈⢻⣿⡀⠀⠀⠈⠉⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠃⠉⠁⠙⣿⠀⠀⣾⠉⠻⣦⡀⠀⠀⢸⡇⢹⣷⠀ ⠀⣿⣧⡾⠁⣼⡿⠀⠀⠀⠀⢰⠋⠻⠶⣤⣤⡾⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣄⣠⡾⠃⠀⠐⢿⡄⠀⠈⠳⣄⠀⢸⡇⠀⣿⣆ ⠰⣿⡟⠁⢰⣿⠁⠀⠀⠀⠀⣾⣠⣤⣤⡀⠀⠀⢀⣠⣶⠾⠛⠛⠛⠿⢶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠹⣆⢸⡇⠀⢻⡇ ⣼⡿⠀⠀⢸⡿⢶⣦⣄⣴⡾⠛⠁⠀⠈⠻⣦⣤⡞⠋⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣦⡀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⢻⡄⣿⠀⢸⡇ ⣿⠁⠀⠀⠸⣷⡀⠙⣿⠃⠀⠀⠀⠀⠀⠀⣹⣷⠖⠉⠀⠀⠀⠀⠀⠀⠀⠀⠠⡄⠙⣷⡄⠀⠀⠀⠀⠀⠀⣾⠿⣆⠀⠀⢸⡇⢻⡆⢸⡇ ⠏⠀⠀⠀⠀⠹⣧⡀⠀⠀⠀⠒⢦⣤⣤⣼⢻⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⡆⠘⣷⠀⠀⠀⠀⣠⡾⠋⠀⠙⣦⡀⣼⠁⠘⣷⣿⠇ ⠀⠀⠀⠀⠀⠀⠹⣷⡀⠀⠀⠀⠀⢿⣄⠻⠿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢠⣿⡶⠶⠞⠛⠉⠀⠀⠀⠀⢸⣷⠏⠀⠀⠹⣿⡆ ⠀⠀⠀⠀⠀⠀⢀⣾⠿⣦⣀⡀⠀⠀⣻⣷⣦⠀⠀⠀⠀⠒⠶⣤⣄⡀⠀⠀⠀⠀⣠⣾⡿⠿⢦⣤⡀⠀⠀⠀⠀⣠⡾⠋⠀⠀⠀⠀⢿⡇ ⠀⠀⠀⠀⠀⣰⡿⠏⠀⠀⠉⠙⠛⠛⠋⠈⣿⣇⠀⠀⠀⠀⠀⠀⠈⠻⣦⠀⢀⣴⡿⠋⠄⠀⠀⠈⢻⣆⣠⡶⠟⠉⠀⠀⠀⠀⠀⠀⡼⣿ ⠀⠀⠀⠀⣰⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠻⣷⣤⣀⡀⠀⠀⠀⠀⠈⣠⣾⠏⠀⠀⠀⠀⠀⢠⣾⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⢰⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡇⠀⠀⠉⠛⠻⠿⣶⣶⡶⠟⠋⠁⠀⠀⢀⣠⣶⣶⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⢸⣷⠚⠛⠛⠓⠒⠲⠖⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⢛⣧⠀⠙⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿ ⠀⠀⠀⢸⣷⠀⢀⠀⣀⡀⠀⠀⠀⡛⢶⠦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⠶⠶⠛⠉⠀⠀⠀⠹⣦⡄⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿

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⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⡁⠀⠀⠈⡆⠀⠀⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⢣⠀⠀⠀⡄⠀⢀⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⡜⠂⠀⡜⠀⢠⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⠀⠀⠸⡀⠀⠘⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠂⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢀⣤⣴⠶⢒⣒⣒⣒⣒⣒⣢⣤⣄⠀⠀⠀ ⢸⠀⠉⠉⠀⠀⠀⠛⠂⠈⠉⠉⡽⡀⠀⠀ ⠀⡆⠀⠀⠀⠀⣀⣼⣀⠀⠀⠀⡧⡀⠣⡀ ⠀⢧⠀⠀⠀⠀⣇⣺⣸⠀⠀⢸⡰⠃⢀⠇ ⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡮⠤⠴⠋⠀ ⠀⠈⠦⣀⡀⠀⠀⠀⠀⠀⢰⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡈⠁⠀⠀⢀⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⡷⢦⡀⠀⢳⡀⠀⡾⢿⣧⣽⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⢿⠿⠀⣷⠀⣸⠁⠀⡇⠈⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠇⠀⠋⠀⠈⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⠃⠀⠀⠀⠀⠀⠘⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⠤⠤⠤⠤⠴⠶⠶⠦⠤⠤⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣶⣺⣿⣽⣿⣿⣿⣷⣶⣿⣤⣀⣤⣀⣠⣤⣄⣀⠀⡈⠉⠙⠲⣄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠖⢺⣧⣉⠛⠛⠻⠿⠿⢯⣅⣀⣀⣀⣀⣀⣀⣨⣿⣭⣉⡽⠷⣶⣚⣿⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢠⣾⢁⡶⢾⡟⠿⢭⣽⠀⢶⡖⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⣭⠆⡏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⢾⠀⠀⣿⠈⣒⣆⠀⡶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⡾⢉⠇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⣿⡟⣆⠀⠸⡇⠤⠥⠈⣛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣇⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠈⢷⣌⠳⠴⢷⡀⢲⡀⠒⡤⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠋⠙⠳⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⠉⠙⢦⡒⢊⡓⠦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠺⣄⠀⠀⢈⠗⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣀⡠⠴⠤⠖⠚⠻⣷⡥⣘⣂⣀⣀⣀⣀⣀⣀⣀⣀⡤⠞⣷⠶⠧⠤⠤⢀⣀⣀⠀⠀⠀⠀ ⣠⣴⡾⠿⠟⣓⣧⣤⡄⠀⠀⠀⠻⣟⣷⣤⣌⢭⢉⡩⣍⠉⠀⠀⢀⣠⠟⠀⠀⠀⠀⠤⠙⣻⢯⡙⠲⣄ ⠘⠿⠤⠤⢎⣉⣀⣐⠋⢡⠖⢠⡄⡈⠉⠉⠉⠛⠛⠛⠛⠛⠋⠉⠉⠀⠀⠀⢀⣦⣄⢸⣿⣿⣾⡿⠾⠟ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⠛⠛⠒⠒⠒⠛⠛⠛⠉⠉⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣶⣶⣶⣶⣾⣿⠿⠿⠿⠿⠿⣿⣿⣶⣶⣶⣶⣤⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣶⣿⠿⠟⠛⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠻⠿⣷⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⠋⠀⠀⠀⣀⣀⣠⣤⣤⣤⣤⣶⣶⣶⣶⣶⣶⣶⣶⣶⣦⣤⣤⣤⣤⣀⣀⠀⠀⠀⠙⣿⣿⡶⠶⢦⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢼⣿⢿⣄⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣆⣠⡿⡏⢀⣀⡀⠈⠻⣦⡀⠀ ⠀⠀⠀⠀⠀⠀⢸⣟⢷⣍⡛⠾⢯⣿⣛⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣻⣯⡽⠿⠛⣩⡾⡟⢩⠶⠻⣗⣄⠙⣷⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡄⢌⣝⠳⠶⣤⣤⣉⣉⣙⠛⠛⠛⠛⠒⠒⠒⠒⠚⠛⠛⠛⠛⢋⣉⣉⣥⣤⡴⠶⣿⠉⣰⣇⢻⣆⣀⠈⡎⡆⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⣇⠀⠉⠒⠲⠆⣨⣭⢉⠛⠛⠛⠛⠛⠒⠒⠒⠒⠚⠛⠛⠛⠛⠛⠉⠉⠁⠠⠬⠛⠉⠀⣿⠛⣷⠾⠋⢠⠁⡇⣿⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠏⠁⠀⠀⡰⠃⡜⣼⠃⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡟⢀⣠⠔⠊⠀⣠⡾⠃⠀⠀ ⠀⠀⠀⠀⣀⣤⣴⡾⠟⠛⢻⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣉⣉⣀⠤⣴⣿⣅⡀⠀⠀⠀ ⠀⢀⣴⣿⠟⠋⢁⡤⠖⠈⠉⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠟⠀⠀⠉⠛⠶⣤⡈⠛⢿⣶⣄⠀ ⣰⣿⠟⠁⢀⣴⠋⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠞⠁⠀⠀⠀⠀⠀⠀⠀⠙⢷⡀⠘⢿⣧ ⣿⣿⡀⠀⠸⣴⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⢸⣿ ⠘⢿⣷⣄⠀⠈⠻⢦⣄⣀⠀⠀⠀⠀⠀⠈⠙⠳⠶⣤⣤⣤⣄⣀⣀⣀⣀⣤⣤⣤⡶⠶⠛⠉⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠞⠋⢀⣴⣿⠟ ⠀⠀⠙⢿⣿⣦⣄⣀⠈⠉⠛⠻⠶⢶⣤⣤⣄⣀⣀⣀⣀⠈⠉⠉⠉⠉⠉⠉⠀⣀⣀⣀⣀⣀⣠⣤⣤⡴⠶⠞⠛⠋⢁⣀⣴⣾⣿⠟⠋⠀ ⠀⠀⠀⠀⠈⠙⠛⠿⢿⣷⣶⣤⣤⣀⣀⣀⡉⠉⠉⠉⠉⠛⠚⠛⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⢉⣀⣀⣀⣤⣤⣶⣾⠿⠟⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠛⠿⠿⠿⠿⢿⣿⣶⣶⣶⣶⣶⣶⣾⣿⣿⡿⠿⠿⠿⠿⠟⠛⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠶⠖⠶⣦⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣤⠴⠶⠒⠛⠛⠛⠛⠶⢦⣄⠀⢠⣿⡥⠂⠀⠐⠂⡙⣧⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠞⠛⠉⠁⠄⠐⠀⠀⠀⠀⠀⠉⠀⠀⢙⣷⣿⢆⣴⠟⠛⠻⣦⠙⣜⣷ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡴⠞⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⢻⣷⡾⠁⠀⠀⠀⢸⡇⠉⣿ ⠀⠀⠀⠀⠀⠀⢀⣠⡴⠞⣋⠥⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡶⠟⠉⢀⣼⣿⠁⠀⠀⠀⢀⡼⠁⣸⡏ ⠀⠀⠀⢀⣠⠶⢋⡡⠔⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣶⠿⡛⠉⡤⠶⠚⢻⢿⣿⡀⠀⠀⣰⠟⣡⣾⠟⠀ ⠀⣤⠖⣫⠔⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⡶⣿⢛⣭⠿⠛⠛⢿⣿⣅⢀⡾⣆⢈⣿⣇⣴⣿⣡⡾⠟⠁⠀⠀ ⠸⣧⣬⣁⣀⣀⣀⣀⣀⣀⣀⣤⣤⡶⠶⠾⢻⡿⠯⣌⢿⡇⢸⡁⢀⣶⠀⠈⢳⣭⣉⣴⠿⣿⣿⣿⣽⣿⠋⠀⠀⠀⠀⠀ ⠀⢿⣮⣍⣉⠛⠛⣛⣉⣩⣭⣤⡀⣀⡀⢸⡏⠀⣶⣼⢦⡿⣦⣝⣽⠟⠀⠀⠀⠈⠉⠀⣀⣴⣿⡿⣿⣇⠀⡶⢶⡀⠀⠀ ⠀⠈⣿⡀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠛⢿⡀⣧⠀⠿⡯⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣋⢥⣿⣧⡛⢿⣦⣿⣸⡇⠀⠀ ⠀⠀⠘⣷⡀⠀⠀⠀⠀⠀⠀⠀⣼⢧⣼⢧⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣡⣾⢿⣿⠉⠻⠶⠶⠾⠛⠀⠀⠀ ⠀⠀⠀⠘⣿⡄⠀⠀⠀⠀⠀⠀⠘⠒⠒⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢞⣩⣴⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡩⢄⣾⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣷⣪⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠙⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢷⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣴⠾⠿⠛⣫⡿⣿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⣶⣤⣀⣀⣠⣤⡶⠾⠛⠋⠉⣀⣤⠶⠟⠋⢔⣠⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢉⣿⣧⣶⣦⣤⡶⠞⠛⠉⠀⠀⠀⣸⣿⣽⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢷⣤⠀⠀⠀⠀⠀⠀⠀⣀⣠⣴⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣶⣮⣤⣤⣤⣤⡶⠶⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡴⠖⠛⠉⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠛⠳⢦⠀⠀⠀⠀ ⢀⡶⠛⠻⣴⣏⣒⢤⠤⣴⣒⣦⣖⣤⣤⣤⣶⣒⣦⡴⢶⡋⡆⠀⠀⠀ ⠘⣿⣄⠀⠘⣿⣦⣑⠓⠤⢤⠔⠉⣥⣤⣩⣟⣋⣀⣤⢛⣴⠀⠀⠀⠀ ⠀⠈⢿⢷⣄⣹⣆⠉⠋⢛⠟⢛⠶⠟⠿⠛⢛⡟⠃⠼⠛⠞⠀⡀⠀⠀ ⠀⠀⠀⠁⠫⠝⢷⡀⢀⣮⣼⣧⣤⣒⠈⢡⠿⠀⢀⡄⠀⠀⠀⡇⠀⠀ ⠀⠀⣀⡤⢤⡒⢶⣷⣄⣯⣿⠻⠿⢿⣯⢸⡇⢠⣾⣇⣀⣀⣀⣥⡀⠀ ⠀⠜⢧⡀⠀⢙⣶⣿⣿⣷⣤⣍⣙⣿⣵⣴⣶⣿⠿⢮⣅⣀⢈⣠⡾⠳ ⠀⠀⠑⠨⠍⣚⣛⡻⠿⠿⠿⠶⠿⠿⠿⠿⠿⠿⢿⣾⣟⣛⠫⠅⠂⠁ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠛⠛⠛⠛⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⣤⣤⠤⠤⠤⠤⠤⠤⣤⣤⣤⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣶⠿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠻⠿⣶⣦⣀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢀⣀⣀⣀⡀⢸⣏⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⣿⡄⠀⠀⠀⠀⠀⠀ ⢀⣾⡿⠛⠻⢿⣿⣿⡏⠹⣖⠤⣤⣶⣶⣶⡒⠛⣩⣽⠿⣽⣿⣯⣯⣭⣍⣁⣒⣲⣶⡴⢶⣾⡋⠹⡇⠀⠀⠀⠀⠀⠀ ⢸⣼⡆⠀⠀⠀⠙⣿⣿⣏⠁⢪⣁⢤⡈⠉⠉⠙⠛⣛⠿⠛⠛⠛⠛⠟⢿⣿⡽⠛⠉⠙⠲⣼⡍⢲⡇⠀⠀⠀⠀⠀⠀ ⠀⢿⣿⣦⠀⠀⠀⠹⡿⣿⣷⣦⣉⡉⠛⠒⠲⡶⠫⠤⠦⠶⠶⠶⠤⠼⣿⣬⣷⣤⣤⣶⠞⣁⡷⣾⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢻⣿⣿⣦⡀⠀⢳⣷⡈⠉⠛⠟⠻⢿⣿⣷⠶⠶⣶⣶⠶⢶⣿⠿⠿⢿⡿⠿⠒⢲⣿⣽⣧⡏⠀⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠙⢿⡻⣿⣶⣼⣿⡇⠈⠀⠀⠀⡜⠁⣀⠔⠊⠁⠀⠀⢁⣀⠀⢠⣴⠃⠀⢸⠉⠀⠀⠛⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠒⠭⣉⣻⣷⡀⠀⠂⢰⣧⣴⣿⣦⣤⣴⠚⠉⠀⠀⢰⣿⡇⠀⠀⢠⡇⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣽⣷⣄⠀⣿⠾⢿⣿⣿⣿⣿⣿⣷⣦⠤⣼⣿⠀⠀⢠⣾⡇⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀ ⠀⠀⠀⣠⣴⠶⠻⢿⣉⠹⣿⣿⣯⣳⣼⠷⣟⣏⡙⠿⠿⡛⣿⣿⡂⣿⣽⠀⣰⣿⣿⢧⣀⣀⣀⣤⡤⣤⣷⣤⡀⠀⠀ ⠀⢠⣿⣋⠀⠀⠀⠀⠙⢷⣬⣿⣿⣿⣿⣧⣀⡉⠙⠛⠻⠿⢟⣯⣀⣧⣴⣾⣿⣿⣯⣍⣛⠁⠀⠀⠺⠋⢀⣠⣿⡷⡄ ⠀⠘⢄⠙⠷⣦⣄⡀⠰⣾⣿⣿⣿⣿⣿⣮⣟⡻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣇⣉⢹⣿⣿⣦⣤⣤⣾⣿⠿⢋⡴⠃ ⠀⠀⠀⠉⠒⠤⣍⣉⣛⠛⠻⠿⠿⠿⠭⣿⣿⣿⣿⣶⣶⣾⣿⣿⣿⣿⣿⣿⠯⠿⣿⣿⡿⠿⠟⣛⣋⣹⠴⠒⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠛⠷⠶⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣥⣤⣤⣤⣤⣤⣴⡿⠿⠿⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠈⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣴⡶⠶⠶⠾⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⣉⣛⣛⣛⣻⣶⣶⣶⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⢶⣻⠿⠟⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⠓⠾⢭⣛⢶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣀⣀⣀⡀⠀⠀⣿⡙⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀ ⣠⣶⣿⡯⣿⣟⣯⣟⣶⣿⡛⢶⣤⣀⣀⢀⣀⣀⣤⣤⡤⣴⠶⠒⠶⢶⣖⣖⣲⣲⣲⡖⠖⠲⠶⠤⠤⣤⣀⣀⣠⣤⣴⠾⠛⢹⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣿⠁⠀⠀⠈⠛⢮⣿⣿⣇⣤⠷⠎⣩⠟⠛⠻⢿⣿⣧⣤⣤⡬⢭⣭⣝⣿⣿⣿⣿⣿⡿⣿⣶⣶⣶⢾⣿⣿⣍⠙⠻⣷⣄⠈⡗⠀⠀⠀⠀⠀⠀⠀⠀ ⡇⣿⣆⠀⠀⠀⠀⠀⢿⣿⣿⣧⡀⠈⢳⣄⣳⠦⡀⠀⠀⠀⠀⣉⡭⠟⠋⠉⠉⠉⠩⠿⡋⢳⣾⣷⠟⠉⠀⠀⠈⠉⡲⢷⠈⣸⡇⠀⠀⠀⠀⠀⠀⠀⠀ ⠸⡿⣿⣧⡀⠀⠀⠀⠀⢿⢿⣿⡿⣶⣄⡈⠉⠛⠛⠒⠶⢶⠾⠥⠤⠶⢴⣾⣷⣶⣦⣤⣽⣿⣤⣨⣧⣤⣤⣴⣶⡟⠁⣸⣴⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠹⣜⣿⣵⣦⡀⠀⠀⠸⡶⣇⠉⠛⠛⣿⡿⢷⣶⣶⣶⣿⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣿⣿⣟⣻⣿⣯⡥⣴⣶⢺⣿⣀⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠘⢮⡻⣷⣽⣦⣄⠀⢿⢻⣧⠀⢢⠀⠀⠀⠉⣸⡟⠛⠛⠛⣩⠟⠛⠋⠩⠽⠛⠋⠉⠉⠉⣹⠏⠉⠀⣤⠼⠛⠛⢻⡟⠉⠈⠙⣦⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠙⢮⣙⢿⣶⣽⣿⣟⢯⠀⠀⠀⠀⠀⢠⠏⠀⢠⡶⠋⠁⠀⠀⠀⢀⣀⣤⠤⠀⣠⣶⠟⠀⠀⠀⢧⠀⠀⠀⠈⠁⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠓⠦⣌⣉⣻⣟⣆⠀⠀⢂⠀⣾⣤⣶⣿⣿⣦⣀⣠⡖⠋⠉⠀⠀⠀⢰⡿⡽⠀⠀⠀⠀⣼⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⢧⠀⠀⢹⡷⣴⣿⣿⣿⣽⢿⣿⣿⣷⣦⣄⣀⡀⢻⣥⡇⠀⠀⠀⣸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠸⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣤⣤⣶⠶⣿⣿⣿⣯⡳⣄⠸⣷⢀⣼⣯⠿⢿⣿⣿⣿⣿⡟⣼⣍⠙⣿⢻⠀⠀⢀⣼⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀ ⠀⠀⣀⣴⡾⠟⠛⠉⠻⣦⣤⠈⢿⣿⣿⣿⣮⣳⣟⠛⠯⣴⣤⣈⣙⡚⣛⠙⣿⣿⢿⢸⡿⡾⠀⣠⣾⣿⣿⣟⡲⠤⡤⠴⡶⠶⠒⣲⣾⠟⠷⣤⣀⠀⠀ ⠀⣴⣿⣍⠀⠀⠀⠀⠀⠈⠻⢷⣤⣽⣿⢿⣟⣿⣿⣧⣄⠀⠉⠉⠉⠙⣿⠿⣋⣹⣄⣸⣧⣶⣾⣿⣿⣿⡿⣤⣜⠋⠓⠦⠀⠠⠞⠟⠁⢀⣠⣾⣿⢷⡀ ⠀⢷⡈⠻⢷⣤⣀⡀⠀⠀⣠⢖⣿⣷⣿⣿⣿⣿⣧⣙⠿⢿⣿⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⢹⡏⠉⠙⣿⣿⣷⣦⣠⣀⣀⣤⣶⣿⣿⡿⠋⣰⠃ ⠀⠀⠙⠢⣄⣉⠛⠻⠷⢤⣴⣿⣿⣿⣿⡿⣿⠻⢿⣯⣿⣷⣦⣬⣉⣛⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⠼⣿⣿⣶⣼⣿⣿⣻⣽⣿⣿⠟⡛⢋⣀⠴⠚⠁⠀ ⠀⠀⠀⠀⠀⠉⠓⠲⠤⣤⣤⣉⣉⣉⠛⠛⠛⠓⠚⠿⠿⠿⠿⠿⠿⠿⠿⠿⡿⣿⠿⠿⠿⠿⠿⠿⣚⠛⢻⡟⡿⡛⣛⣛⣙⣤⡤⠶⠞⠋⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⢷⣶⣶⡶⣶⣶⣴⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣶⣿⡷⠿⠟⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠈⠈⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠈⢻⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢆⠀⠀⠙⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢧⠀⠀⠘⢿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡆⠀⠀⠘⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⠃⠀⠀⠀⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⠃⠀⠀⠀⠀⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡏⣀⣀⣀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡤⠤⠒⠒⠋⠉⠉⠻⣧⠀⠀⠀⠈⠉⠁⠀⠀⠀⠢⢄⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⠀⠀⠀⠀⣀⣀⣀⣀⣤⣽⣦⣄⣀⣀⣀⣀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣿⣿⣿⠷⠾⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠶⠚⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⣿⡏⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⣸⠛⠻⣷⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⢠⣿⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣹⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣎⣠⣴⠿⠃⠀⠀⠀ ⠀⢀⣠⠔⠒⠈⠉⠀⠹⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠛⠛⠉⠒⠢⣄⠀⠀ ⠀⣿⡁⠀⠀⠀⠀⠀⠀⠈⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⡃⠀⠀⠀⠀⠀⠀⠀⡟⠀ ⠀⠙⠻⣶⣀⠀⠀⠀⠀⠀⠀⠈⠙⠲⠦⣤⣄⣀⣀⣀⣤⣤⣾⣯⡵⠞⠋⠀⠀⠀⣀⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⠉⠛⠻⠿⠿⠶⠶⠤⠤⠤⣄⣀⣀⣀⣀⣀⣀⣀⣀⡠⠤⠤⠤⠴⠖⠉⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣶⣶⡾⠿⠿⠿⠛⠛⠛⠛⠛⣛⣛⣛⡛⠛⠛⠛⠻⠟⠟⠿⢿⠿⠿⣶⣶⣶⣤⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣤⣾⡿⠟⠛⠉⠀⣀⣀⣠⣤⣤⣤⣤⣦⣾⣿⡿⠿⠿⠿⠿⠿⠿⢿⣿⣿⣶⣤⣍⣉⣙⣛⠳⠭⡛⠻⢿⡶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⣏⢿⣀⣤⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣤⣤⣄⡀⠀⠘⠋⢛⣻⣿⠟⠲⢶⣤⣠⡿⣸⡆⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠉⠓⠿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⢟⠛⠁⠀⠀⠀⣀⣠⣽⣷⣶⣾⣿⠟⠛⢹⣅⣤⣤⢦⣦⣤⣄⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡄⡀⠀⠀⠀⠉⠉⠛⠛⠻⠿⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⡿⡿⣿⣛⣛⣭⠭⠷⠀⢀⠀⣸⠁⠈⠙⣏⠉⠹⡿⡷⡄ ⠀⠀⠀⠀⠀⠀⠀⢸⡇⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠈⠀⣀⠀⠀⠀⠒⠒⠒⠚⠛⣯⣁⣈⣅⡤⡤⠀⡇⢸⢀⢻⠶⠞⠛⠋⠙⣧⢱⠻⣷ ⠀⠀⠀⠀⠀⠀⠀⢸⣷⢸⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⢭⣉⠉⠉⠉⠉⣯⣀⣸⣆⡇⢀⠇⡌⣸⣾⠀⠀⠀⠀⠀⣏⢸⠀⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⣿⡘⡀⢇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢳⡀⠈⠉⠉⣏⠙⡇⠃⣸⢰⢇⣿⡇⠀⠀⠀⠀⢠⣏⣿⢇⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠹⡇⣇⢸⡄⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠒⢿⠒⠛⢰⠇⡾⢸⣹⠃⠀⠀⠀⢠⡟⢈⣾⡿⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣸⡄⢧⠈⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠈⠀⢀⡟⢰⢃⣆⡟⠀⠀⢀⡴⠋⣠⣯⡾⠁⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣧⢣⠘⡆⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⢠⡞⢠⢏⡾⣿⣁⣠⠾⠋⣠⢼⣷⠟⠀⠀⠀ ⠀⠀⠀⠀⠀⣀⣤⡤⠶⠛⢻⣿⣧⠹⡄⢳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠀⠀⢀⣠⠏⢠⢏⡽⣼⠟⠉⣠⣴⣿⡷⠛⠁⠀⠀⠀⠀ ⠀⠀⣠⡴⠻⠉⣡⣤⠶⠚⠛⢹⣎⢆⠱⡄⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣿⡖⣲⡞⠓⣰⢯⣟⣰⣏⣠⡤⣿⣿⡙⠛⠶⣄⠀⠀⠀⠀ ⢰⡿⠃⢠⡾⠋⠁⠀⠀⠀⠀⠀⠹⣮⡁⠙⢆⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⡿⣏⡽⠋⠁⣼⣿⣫⡾⠋⠩⡀⢢⠀⠈⡝⢷⡄⢺⢷⡆⠀⠀ ⢹⣇⣀⠸⣷⡀⠀⠀⣀⠀⠀⠀⠀⠈⠳⣄⡈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣿⣛⣩⣿⠯⠅⠀⣠⣿⡿⠋⠀⢀⣠⠏⣠⠇⢀⣼⣴⠇⣸⣸⡏⠀⠀ ⠀⠙⢷⣄⡺⣟⣦⣤⣐⡿⢿⣲⣤⣤⣀⡈⠙⠳⢤⣄⣀⣀⡀⠀⠀⠀⢀⣠⣤⠬⢤⣤⣬⠥⠄⣀⣀⡬⠞⠋⠀⠀⣠⣤⣶⣿⣥⣾⠿⣟⣥⣻⡿⠋⠀⠀⠀ ⠀⠀⠀⠈⠛⠳⢯⣵⣛⣿⠿⢷⣾⣯⡭⠿⣶⣶⣤⣀⣉⣉⣉⣛⣛⣛⣛⠛⡛⣛⣛⣛⣛⣋⣩⣉⣁⣶⣶⠶⠮⠭⠟⠛⢛⣉⣉⣬⣷⠟⠛⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠾⣭⣙⠓⠛⠿⠧⣤⣤⣤⣌⣉⣉⣩⣻⣛⠛⠉⠉⠭⠭⠭⢭⣭⣿⣽⣯⣍⣁⣤⣤⣤⣤⡶⣶⣾⣿⣽⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠓⠶⠶⠤⣤⣀⣀⣀⣮⣍⣭⢭⣉⣉⣉⣉⣉⠉⣉⢉⢉⣉⣓⣀⣀⣹⣩⠭⠿⠷⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⢀⣠⡤⠶⠒⣒⣚⣛⣿⣿⣿⣿⣟⣒⠶⢶⣦⣤⡀⠀⠀⠀⠀ ⠀⠀⠀⠸⢧⣶⣾⣿⣿⣿⣿⣿⣿⣶⡶⠆⠈⢙⣻⣐⣦⠿⣀⣀⣀⠀ ⠀⠀⠀⢰⡀⠀⠈⠉⠉⠉⠛⠛⠛⠛⠛⠋⠹⣟⣛⡂⠀⢰⠤⠕⢜⣳ ⠀⠀⠀⢸⠁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠢⡀⠒⣺⢃⢰⡾⠀⠀⣶⣿ ⠀⠀⠀⠀⣶⢡⢀⠀𝐼 𝓁ℴ𝓋ℯ 𝓊⠀⠀⠀⠀⠀⠀⠃⠀⠀⠁⢌⣣⠇⠃ ⠀⣀⠤⣐⠺⣧⢊⠆𝒻ℴ𝓇 ℯ𝓋ℯ𝓇 ⠀⠀⠀⠀⣇⣠⢊⡾⡟⣩⡶⣋⠁⠀ ⡎⢰⠉⠀⠀⠘⢆⠪⠀⠀⠀⠀⠀⠀⣠⣾⡟⢁⣿⠏⡡⠀⢩⡂⣷⠀ ⠈⠒⠷⣶⣽⣶⡶⢬⣔⣂⣠⣤⣶⣶⣶⣄⣐⣮⠤⠶⢞⣛⡽⠚⠁⠀ ⠀⠀⠀⠈⠑⠋⠭⠔⠒⣶⣿⣒⣚⣛⣛⣛⡒⠾⠿⠟⠛⠉⠀⠀⠀⠀

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☕︎ᶻ 𝗓 𐰁

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣀⣤⡀⣎⣹⠀⢀⣤⣄⠀⠀⠀⠀⠀⢠⣤⡄⠀⢿⣹⢆⣠⣄⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣦⣤⡻⣧⣤⠽⠛⠛⠒⢶⣷⣾⡏⠉⣿⡋⠙⣿⣶⡷⠒⠚⠛⠫⣤⣤⠟⣤⣴⢤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢠⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⢦⣄⡴⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠸⣦⢈⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢸⢿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢰⣻⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣨⣔⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠶⢶⡄⠀⠀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢲⣥⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡿⡆ ⠈⢿⣿⣤⣤⣤⣤⠤⠤⠤⢤⣀⡀⠀⠀⠘⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡄⠀⢈⡷⠚⠉⠉⠉⠙⢷⠀⠀⠀⠀⠀⠀⠀⢸⣾⣷⠇⠀⠀⢀⣀⣤⠤⠤⠤⣤⣤⣤⣤⣽⣿⠃ ⠀⠀⢀⣻⣿⣿⠟⠋⠉⠉⠉⠉⠛⠳⣦⣐⣧⣄⢻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢶⣿⣀⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⣸⣀⣴⢇⣴⠾⠛⠉⠉⠉⠉⠙⠻⢿⣽⣟⡁⠀⠀ ⠀⢀⡾⠁⠟⠀⠀⠀⠀⠀⠀⠀⣴⣶⣤⣭⣳⣦⣼⣇⠀⠀⠀⠀⠀⠀⣴⠞⠛⠳⣾⡏⠻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣧⢴⣶⣫⣥⣶⣶⡄⠀⠀⠀⠀⠀⠀⠹⠈⢻⡄⠀ ⠀⢿⡇⠀⠀⠀⠀⠀⠀⠀⢠⠀⣿⣤⣄⠀⠙⢿⣧⠘⢦⡀⠀⠀⠀⢸⡇⠀⠀⠀⢈⣿⡄⢸⡇⠀⠀⠀⠰⣶⠀⠀⠀⠀⣠⠋⣸⣿⠏⠁⣠⣤⣽⠃⡀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄ ⢸⠘⢷⠀⠀⠀⠀⠀⠀⠀⠀⢳⠈⠙⠟⠀⠀⠈⢻⡟⡿⠳⣄⠀⠀⠘⣧⡀⠸⠶⠟⠉⣹⡿⣥⣄⣠⡤⠞⠁⠀⠀⢀⠜⢿⢻⣿⠁⠀⠀⠻⠟⠁⡼⠁⠀⠀⠀⠀⠀⠀⠀⠾⠏⡇ ⠈⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⢧⣀⣈⣦⡀⠀⠈⠙⠶⠦⠶⠾⠋⠀⠀⠀⠀⠀⠀⠀⢀⣴⣋⣀⣠⠃⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡇ ⠀⠻⣍⠛⠀⠀⠀⠀⣰⣄⢰⣾⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠘⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠋⠈⣧⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣿⣆⣠⣦⠀⠀⠀⠀⠘⢋⡟⠀ ⠀⠀⠈⠳⢤⣀⣀⣴⣿⡿⠟⢉⣴⣷⠀⠀⠀⠀⠀⠀⠀⠀⠈⠲⠴⢒⠏⠳⣄⠀⠀⠀⠀⠀⠀⠀⣀⡴⠋⡗⠲⠔⠋⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡌⠛⢿⣿⣧⣀⣀⣠⠶⠋⠀⠀ ⠀⠀⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡤⣤⣿⡟⢦⡀⠀⠀⡴⠊⣿⣥⣤⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠉⠉⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠽⠃⣧⣒⣿⢶⢻⢛⣮⡏⠫⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⢡⠟⣎⠓⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⣶⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⡇⣴⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡟⠀⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⠿⠋⢀⣼⣿⣿⡷⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⠀⠀⢀⣴⣿⣿⣿⡿⠀⢹⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⡟⠀⣰⣿⣿⣿⡿⠋⠀⣠⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡟⠀⢰⣿⣿⣿⠋⠀⢠⣾⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣇⠀⠸⣿⣿⡇⠀⠀⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣿⡆⠀⠹⣿⣿⠀⠀⠻⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣬⣭⣷⣶⣶⣾⣿⣶⣶⣶⣮⣭⣤⣤⣄⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⣿⠿⠛⠛⠉⠉⢀⣀⣀⣀⣀⣀⣀⣀⣀⠀⢀⣀⡈⠉⠉⠛⠻⢿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣴⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣤⣤⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣶⣄⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠀⠀⠀⣿⡿⠃⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⣾⡿⠘⣻⣿⡿⠿⣿⣿⣿⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣇⠀⣀⣿⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⠇⣴⣿⠏⠀⠀⣸⣿⣸⡟⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡟⣸⣿⠁⠀⣠⣾⣿⣿⣿⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣠⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣱⣿⣿⣶⣿⣿⣿⣿⠟⠁⠀⠀⠀⠀ ⠀⠀⣠⣴⣾⠿⠟⠋⢩⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⣿⡿⠿⠋⠙⢻⣿⣷⣤⡀⠀⠀⠀ ⢠⣾⡿⠋⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣯⣿⣿⠁⠀⠀⠀⠀⠀⠉⠉⠻⣿⣆⠀⠀ ⣼⣿⣦⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠠⠶⢰⣿⣿⣷⡄ ⠸⣿⣾⡇⠀⠀⠀⠀⠀⠉⠛⠻⢿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⣾⠿⠛⢿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⡿⣿⡇ ⠀⠘⠻⣿⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠃⠀⣤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣾⣿⣿⣼⣿⠃ ⠀⠀⠀⠈⠙⠻⣿⣿⣶⣦⣤⣤⣤⣄⣀⣀⡀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣶⣿⢿⣿⣽⣶⡿⠟⠁⠀ ⠀⠀⠀⠀⠀⠀⠈⠙⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣼⣿⣿⣿⣶⣿⣿⣿⣟⣻⣭⣵⣾⡿⠿⠛⠉⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠛⠛⠻⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠿⠛⠛⠛⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀

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∧,,,∧ ( ̳• · • ̳) / づ\̅_̅/̷̚ʾ 𝓜𝓸𝓻𝓮 𝓣𝓮𝓪 𝓜𝓪𝓴𝓮𝓼 𝓮𝓿𝓮𝓻𝔂𝓽𝓱𝓲𝓷𝓰 𝓫𝓮𝓽𝓽𝓮𝓻 ♡

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⣟⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡇⠀⣹⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣀⣠⣤⣤⠶⠶⠶⢶⣶⢶⠶⠤⣤⣄⣾⣁⡀⡿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣰⣿⣿⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣶⣦⣭⣭⣻⣳⠦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣭⣟⠲⢤⣀⠀⠀⠀⠀⠀ ⣾⣿⣿⣿⣷⡇⠀⠀⠀⠀⠀⠀⠈⠉⠉⠙⢹⡟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣽⡷⢦⡀⠀⠀ ⠸⣾⣿⣿⣹⠛⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⣸⢻⣦⡉⣹⠁⠉⠉⠛⠿⣿⣿⣿⣿⣿⣷⣝⣧⡀ ⠀⠈⠻⣿⡟⠀⠁⠉⠛⠳⠶⠤⢤⣤⠤⠶⠿⠛⣛⠛⠛⠀⠀⠀⢠⣀⡀⠈⠙⠻⢿⣿⣿⣷⣿ ⠀⠀⢠⣿⡇⠀⠂⠀⠀⢀⡀⠀⠤⠄⠀⠀⠻⣿⣿⠀⠀⠀⠀⠀⠂⢤⣙⠳⣄⡀⣸⢫⣿⣿⣿ ⠀⠀⢸⣿⢀⡖⠀⣾⡟⠻⣷⣀⣠⣤⣤⣤⣄⣘⠇⠀⣠⣶⣦⠀⠀⠀⠈⠳⡌⢙⡏⣼⣿⣿⡟ ⠀⠀⣼⡇⢸⣧⣤⣿⣧⡀⠹⠏⠁⠀⠀⠀⠀⠉⠻⣶⡟⢠⣿⠀⠀⠀⠀⢀⡇⣸⣿⡿⠟⠋⠀ ⠀⠀⣿⡇⠀⢿⣏⠉⢻⢿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣿⣇⣤⣄⠀⠀⣼⢰⣯⡇⠀⠀⠀⠀ ⠀⢸⣿⠀⢠⣈⣻⣿⣶⣤⠀⣀⣀⡀⠀⠀⠀⠀⢀⣀⢸⡟⣉⣴⡟⠀⠀⢁⣿⡾⠀⠀⠀⠀⠀ ⠀⢸⣿⠀⠈⣿⡟⠙⠛⠛⡘⠋⠉⠻⠂⢀⣀⠴⠟⠙⢛⣿⣿⡋⠀⠀⠀⣾⣽⠃⠀⠀⠀⠀⠀ ⠀⣾⣿⢸⠀⠘⠻⠷⡶⠿⢿⣷⣦⣤⣀⣈⡁⠀⣀⣶⣿⣉⣉⣿⡆⠀⢸⣿⡏⠀⠀⠀⠀⠀⠀ ⠀⣿⣿⠸⠀⠀⢀⣀⣄⠀⣰⠏⣮⡹⣯⣿⣿⣿⠉⠈⠋⠛⠋⠉⠀⢠⣿⡿⠀⠀⠀⠀⠀⠀⠀ ⠀⣿⡇⠀⠀⠀⣿⣾⣿⡀⣿⠀⢸⣿⣿⣿⣿⢷⣄⠀⠀⠀⠀⠀⢀⡿⣼⠁⠀⠀⠀⠀⠀⠀⠀ ⢀⣿⡇⠀⣠⣤⣽⣿⣿⣿⣿⣷⣧⣿⡛⠛⠳⣤⣟⣀⡀⠀⠀⠀⡼⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⢸⣧⣾⣿⣿⠿⠿⢻⣿⢿⣯⠛⠶⠦⣼⣏⣽⣿⡇⠀⣰⣣⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⠘⢿⣿⣽⣿⣶⣭⠉⣿⣆⡙⠷⣄⠀⠘⢿⣿⣿⠃⢠⣏⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⢸⣿⡇⠀⠈⢿⣿⣿⢟⣿⣀⠸⣿⣿⣦⣠⡦⣴⣄⣸⠏⢠⣞⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⢷⣿⣤⡀⠀⠀⢰⣿⣤⣿⣷⠙⢿⣿⣿⣶⣿⣿⠁⠀⣾⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⠻⢽⣳⣤⣀⣻⣿⠿⠋⠀⠀⠀⠙⠛⠟⠃⢀⣼⣹⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⠻⢽⣷⣖⣒⣦⣤⡤⠤⠖⢒⣋⣽⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

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

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