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Heres a persona template 4U!!! Credits arent needed. ★ Name: ★ Nickname/Alias: ★ Age: ★ Gender/Pronouns: ★ Species/Race: ★ Occupation: ★ Current Residence: Appearance ★ Height: ★ Build: ★ Skin Tone: ★ Eye Color: ★ Hair Color/Style: ★ Distinguishing Features (scars, tattoos, etc.): ★ Clothing Style: Personality ★ MBTI Type (optional): ★ Core Traits (e.g., ambitious, kind, sarcastic, etc.): ★ Strengths: ★ Weaknesses: ★ Likes: ★ Dislikes: ★ Hobbies/Interests: Background ★ Birthplace: ★ Family & Relationships: ★ Upbringing & Childhood: ★ Significant Events: ★ Current Life Situation: Skills & Abilities ★ Special Skills/Talents: ★ Combat Skills (if applicable): ★ Weapons/Tools Used: ★ Magic/Powers (if applicable): Beliefs & Motivations ★ Personal Philosophy: ★ Religion/Spirituality (if any): ★ Biggest Fear: ★ Life Goals/Dreams: Quirks & Fun Facts ★ Favorite Food/Drink: ★ Pet Peeves: ★ Mannerisms (e.g., twirls hair, bites nails): ★ Catchphrases/Verbal Tics: ★ Secret Talent: Enjoy! search xxflderxx for more!!
⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣠⠾⠛⠶⣄⢀⣠⣤⠴⢦⡀⠀⠀⠀⠀ ⠀⠀⠀⢠⡿⠉⠉⠉⠛⠶⠶⠖⠒⠒⣾⠋⠀⢀⣀⣙⣯⡁⠀⠀⠀⣿⠀⠀⠀⠀ ⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠀⠀⢯⣼⠋⠉⠙⢶⠞⠛⠻⣆⠀⠀⠀ ⠀⠀⠀⢸⣧⠆⠀⠀⠀⠀⠀⠀⠀⠀⠻⣦⣤⡤⢿⡀⠀⢀⣼⣷⠀⠀⣽⠀⠀⠀ ⠀⠀⠀⣼⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⢏⡉⠁⣠⡾⣇⠀⠀⠀ ⠀⠀⢰⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠋⠉⠀⢻⡀⠀⠀ ⣀⣠⣼⣧⣤⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⠐⠖⢻⡟⠓⠒ ⠀⠀⠈⣷⣀⡀⠀⠘⠿⠇⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠿⠟⠀⠀⠀⠲⣾⠦⢤⠀ ⠀⠀⠋⠙⣧⣀⡀⠀⠀⠀⠀⠀⠀⠘⠦⠼⠃⠀⠀⠀⠀⠀⠀⠀⢤⣼⣏⠀⠀⠀ ⠀⠀⢀⠴⠚⠻⢧⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⠞⠉⠉⠓⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠶⠶⠶⣶⣤⣴⡶⠶⠶⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣏⣀⣀⣬⣴⡾⠛⡉⠔⡈⢦⠘⢦⢀⠣⢄⠡⠌⢷⣀⠻⣿⣆⠐⢿⣯⡜⣱ ⡿⣿⠏⠉⣵⡟⠉⠐⢥⠘⠤⡑⠨⢦⠈⠳⣌⠄⠣⠌⠌⣿⣦⠙⣿⣎⢸⣿⡼⣱ ⣱⣿⣴⣾⣟⠲⠒⠖⠶⠷⢦⡈⢅⡈⠳⡄⠀⠙⠦⣉⠒⡈⢻⣷⣌⡻⣼⢂⡿⡑ ⠉⣷⣔⣙⣳⡽⣽⣿⣿⣿⣿⣿⣶⣤⣁⡌⢣⡀⠀⣼⣷⣦⣥⣘⣻⣿⣿⣶⣳⠠ ⣛⣯⢟⣿⣯⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡐ ⡛⠛⣶⣿⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⢀⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⡱ ⣷⡄⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠻⣿⣿⣿⣿⣿⣿⣿⣿⣸⢃ ⠻⠿⣶⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠹⣿⣿⣿⣿⣿⣿⣿⢇⢊ ⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣿⠿⠋⠀⠀⠀⠀⠀⠀⡅⠈⠙⠻⢿⣿⣿⢏⠀⠁ ⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡢⠑⠄ ⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⢳⠭⠦ ⠀⠣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠤⣄⣄⣠⣤⠂⠀⠀⠀⢠⣷⠀⡙⠲⢄ ⠠⢁⠒⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡾⡼⣷⣄⠡⠈ ⠀⡂⠄⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣰⢼⣝⣳⢯⣞⣷⣇ ⠀⠔⢠⠏⠆⠐⡀⠄⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣧⠀⠙⢷⣝⢯⡾⣹⢦⣄
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pls note the ai inflicts emotional damage (ᵕ—ᴗ—)
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⠀⣴⣿⡟⣸⣿⠁⣼⠃⠀⠀⠀⠀⠀⠀⠀⢀⠀⢧⡀⢸⡷⡄⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⣄⠀⠀⠀⡱⡜⣇⣿⣿⣿⣿⣿⣿⣿⡳⣄⠀ ⠀⠀⠸⣿⠻⣷⣿⣿⢰⠏⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⣼⡷⡈⣿⡵⡀⠀⠀⠀⠀⠀⠸⣷⣄⢠⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⢷⣄⠀⠘⠾⣼⣿⣿⣿⠻⠛⠉⠈⣿⣎⠳ ⠀⠀⠀⣿⣇⠙⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⣼⠃⠸⣷⣸⡵⡙⡀⡀⠀⠀⠀⠀⢿⢿⣧⡹⡕⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢳⡳⣄⠈⢾⣿⡿⡿⠀⠀⠀⠀⢹⡈⠃ ⠀⠀⢠⣿⣿⣷⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⢸⡅⣿⠀⠀⠹⣧⣷⠹⡜⡷⡄⠀⢣⠀⠸⡄⠙⢾⣾⢆⢷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡈⢣⡈⢎⣧⣿⠀⠀⢀⣀⠤⡇⠐ ⠀⠀⣾⣻⢻⣿⣿⡟⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠹⡟⣧⠘⣌⢿⣆⠀⢧⠀⢷⡀⠀⠙⢿⣷⡳⡕⢄⡀⠀⢠⠀⠀⠀⠐⢄⠀⠀⠱⡀⠙⢌⠈⣿⣟⡿⠿⠿⠿⢇⠀ ⠀⢰⡟⠛⠼⠿⢻⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠇⠀⠀⠀⠀⠘⣜⣆⠈⢮⣻⣷⡈⢦⠈⢧⠀⠀⠀⠙⢭⠘⣶⣝⠢⡀⠱⡀⠀⠀⠈⢢⡀⠀⣷⡀⠈⠺⣞⢿⠇⠀⠀⠀⠘⠀ ⠀⠎⡇⠀⠀⠀⢸⠃⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⢿⠀⠀⠀⠀⠀⠀⠈⢻⣄⠀⠱⣿⣮⢦⣧⠘⣇⠀⠀⣴⠋⢱⢮⣻⡷⣌⠑⠷⠄⠀⠀⠀⣱⢄⣿⣵⣈⢢⠉⢻⡧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⠀⠈⢿⣷⡑⠧⠸⣇⠠⠁⠀⠂⠀⣙⢷⣞⣳⣤⡀⠀⠀⠀⡁⠀⠀⠀⣻⠀⢷⡀⠻⡄⠀⠀⠀⠀ ⠀⠀⡦⣒⣶⡄⢸⢰⡀⠀⠀⠀⠀⠀⠀⠀⠸⡜⣾⠚⠋⠉⠙⠛⠓⠲⢤⣀⠈⠃⠀⠀⠻⣿⢦⡀⠹⣧⠀⢠⢞⣥⣾⣿⣿⣿⣿⣿⣶⣶⣦⡌⠳⡴⣿⢳⣇⢯⢷⣄⠹⡄⠀⠀⠀ ⠂⠀⡇⠈⠉⠁⠸⣾⣷⠀⠀⠀⡆⠀⠀⠀⠀⢇⢻⡄⠀⠀⣀⠠⠤⢀⡀⠈⠳⠄⠀⠀⠀⠈⢧⡑⢤⣹⡷⢞⣿⢿⠉⡀⢠⡔⠻⣻⡟⠹⣙⣿⠘⡆⠹⣇⡿⡌⠟⡍⠳⣼⣄⠀⠀ ⠀⠀⣵⠀⠀⠀⠀⢿⡸⢧⠀⡇⢰⠀⠀⠀⢇⢸⣜⣧⣴⠯⠖⠒⠛⠛⠛⠛⠛⠻⢷⣦⠀⠀⠈⣣⣀⣷⠥⡻⡏⠘⣾⡧⡜⠃⢠⣻⠇⣸⠋⣇⣽⣞⣄⢻⣹⣿⣾⣥⠀⠈⠻⡆⠀ ⠀⠀⢻⡄⠀⠀⠀⠸⣧⢿⢧⣴⡘⣧⠀⠀⠘⣾⠯⡉⡀⢀⣠⣤⣍⣁⣒⡤⠀⠀⠀⢻⣿⡿⠛⠛⠿⣟⡀⠈⠻⣆⠈⢴⣀⣀⡵⠏⣠⠀⢀⣿⣿⣭⢿⡌⠧⡿⡿⣿⡆⠀⠀⠀⠀ ⠀⠀⣿⣳⠀⠀⢀⣀⣻⣎⣧⣜⠇⢻⣄⠀⢢⡿⣼⣽⣵⡿⠟⠋⠉⠙⠛⠻⠿⣆⠀⣸⡏⠀⠀⠀⠀⠘⢷⣄⡀⠈⠁⢀⣀⣤⣔⣺⣧⣶⠿⡏⣰⣿⣼⣻⠀⢱⠇⢸⡇⢀⣀⡀⠀ ⠀⠀⠸⠿⣗⠊⠁⠀⠀⠈⣯⣿⢆⠈⣿⣄⢻⣴⣧⡻⡍⢧⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠁⠀⡀⠀⠀⠀⠀⠈⠉⠉⠛⠛⠉⠉⣿⡀⣸⢆⠀⡇⣿⣿⣿⣯⣇⠘⣾⠁⣿⠁⢀⠃⠀ ⠀⠀⠀⠀⠈⢳⡒⠀⠀⠀⠈⠉⠉⠓⢬⣿⣦⠳⡙⢿⣿⣬⣧⣤⣤⣤⠴⠖⠚⠋⠁⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡏⠁⠈⣆⣷⢈⡏⢀⣹⣿⠀⣿⠀⠀⠀⣸⡀⠀ ⠀⣠⣄⠀⠀⠀⢹⠉⠁⠀⠀⠉⠉⠙⠒⠪⠭⣳⢌⢦⡈⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠈⣎⢸⣵⠊⠉⡇⡇⢸⠄⠀⡤⠋⠀⠀ ⠜⠁⠈⢷⡀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠳⢭⡦⣙⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠈⢎⣿⣆⠀⠃⢳⢸⡵⠋⠀⠀⠀⠀ ⠀⠀⠀⠀⢳⡄⡇⣿⠀⠀⠀⠀⢠⣤⠤⠤⠔⠒⠒⠚⠛⠙⢷⣤⣕⣦⡀⠀⠀⠀⠀⠀⣄⠀⠀⠀⠀⢀⣀⣤⠞⠁⠀⠀⠀⠀⠀⣠⠋⢳⠀⠀⠈⢻⡿⣦⠀⡸⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢻⣾⣧⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣤⣤⡀⠙⣷⣄⠉⠃⠀⠀⠀⠀⠀⠉⢩⠉⠹⠀⠀⠇⠀⠀⠀⠀⡠⣂⣼⣿⣧⠀⢧⠀⠀⠀⢻⡬⠋⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⢇⠀⢳⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⠉⠀⠙⣿⠀⠈⢿⢗⣦⡀⠀⠀⠀⠀⠀⠘⢆⠀⠀⣼⠀⠀⠀⠀⣪⠖⣿⣿⠘⢿⠳⣌⣆⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⣠⠄⠀⠀⠘⡄⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣷⣤⣾⠟⠀⠀⠈⢆⢹⢿⣷⣦⣄⠀⠀⠀⠀⠉⠉⠀⢀⢀⡤⠊⠀⠀⣟⡘⡆⠈⡇⢀⡿⢟⠄⠀⠀⠘⢄⠀⠀⠀⣠⢾⠁⠀ ⠀⡴⠃⠀⠀⠀⠀⠸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠆⣀⣤⡈⣚⢻⠻⣿⣆⠉⠒⠢⢖⣤⣄⡖⠗⠉⠀⠀⠀⣴⡿⠒⠓⠢⠶⢟⣗⢺⡎⢢⡀⠀⠈⢣⡀⣸⡏⠘⠺⠀ ⡜⠁⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠃⢸⡏⠀⠀⣽⡎⡆⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⢊⡼⠜⣗⢒⠠⣄⠀⠀⠀⠉⠓⠀⠽⣦⠀⠀⠻⣿⡇⠂⠀⠀ ⠀⠀⣠⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡛⢆⠀⠙⠒⠊⠈⡇⠁⠀⢿⣷⣄⠀⠀⠀⠀⠀⠈⠁⣰⢫⡾⠉⠉⠑⠻⠶⢭⣖⡦⣄⠀⠀⠀⠈⠣⡀⠀⠀⠙⢄⠀⠀ ⠀⣾⠏⠁⠙⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠟⠻⣎⠷⠀⠀⠀⠈⠊⢸⢰⢸⣧⡙⢧⡀⠀⠀⠀⣠⠞⣱⠟⠻⡱⣆⢤⡀⠀⠀⠀⠈⠛⢄⠀⠀⠀⠀⠈⠀⠀⠀⠀⠁⠀ ⠀⠻⣷⣄⣴⡿⠃⠀⠀⠀⠀⠀⠀⠀⢀⣠⡶⠛⠁⠀⠀⠀⠙⢧⡀⠀⠀⠀⠀⢸⢎⡂⠈⣟⡄⠈⠓⢤⢾⡡⠊⠁⠀⠀⣳⣀⣙⣺⡵⠤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠈⠉⠁⠀⠀⠀⠀⣀⠀⠀⠠⣶⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⢻⣄⠀⠀⠀⠸⠈⣦⡧⠝⢟⡄⢠⡾⣏⠉⠲⣄⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⡄⠀⠀⠀⠀⠀⣠⡶⠛⠁⢷⡄⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣦⡀⠀⡆⠀⢼⡇⢀⡨⠟⠁⠀⠀⠑⢄⠈⢢⣱⠹⠶⢶⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠘⢆⠀⠀⠀⠀⢸⣄⠀⡽⠀⠻⡆⠀⢻⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⣤⠇⢀⡼⠋⠁⠀⠀⠀⠀⠀⠀⠈⢂⠀⢿⣤⡔⠋⠱⣦⡠⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠈⢳⣄⠺⣄⠀⠉⠉⠀⢀⠐⠃⠀⠀⢿⡀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠤⠽⠷⣯⡠⠄⠀⠀⠀⠀⠀⠀⡤⠴⡛⡆⠈⡄⠙⠒⣤⣬⣾⣦⠑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠢⢀⠈⠈⠑⢌⡻⠦⠤⠂⠀⠀⠀⠀⠀⠈⣷⠀⠀⠀⠀⠀⡠⠊⠁⣠⣴⠒⠮⡉⠁⣀⠠⢀⣀⡀⠀⠤⠄⢡⠖⢁⡴⣶⠳⣍⠭⠒⢠⣻⢻⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢦⡑⢦⣤⠤⣬⣲⣤⡄⠀⠀⠀⠀⠀⠀⠘⣧⠀⠀⢀⠔⠁⣠⡾⠋⠁⠀⠀⠘⠫⣤⡶⣛⡶⠿⠒⠀⠀⠀⠓⢻⠂⠿⣦⠉⠳⣄⣮⣿⡟⠀⠈⠳⢄⠁⠠⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠑⣄⠻⡕⢴⣢⠭⠭⠉⠉⣀⡠⠭⠋⠀⠸⣇⣠⣋⡴⠛⠛⢦⣄⠀⠀⠀⠀⠀⠈⠣⣀⠀⠀⠀⠀⠀⣀⣀⣘⡲⢾⣿⡄⠀⠈⠻⣭⠁⠀⠀⠀⠀⠉⠶⢄⣐⠀⢀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣤ ⣠⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣿⠛ ⠿⣿⣦⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣰⣾⣿⣿⣿⣟⠀ ⠀⢿⣿⣿⣿⣿⣾⣶⣄⣀⣀⣀⣀⣤⣠⣼⣿⣿⣿⣿⣿⣿⣿⠀ ⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀ ⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⣁⠀⢀⠙⣿⣿⣿⣿⣿⡿⠇⠀ ⠀⠀⠙⠿⢿⣿⣿⣿⣿⣿⣿⣧⣏⣀⣨⣽⠿⢿⣿⣿⣿⡄⠀⠀ ⠀⠀⠀⠀⣿⣿⣿⣿⡿⢋⠁⠈⠉⠙⠋⠀⠀⣠⡎⢻⣿⡷⠀⠀ ⠀⠀⠀⠀⢻⣿⣿⣿⠃⢸⣿⠆⠀⠀⣀⠀⠀⠻⠇⠀⣿⠃⠀⠀ ⠀⠀⠀⠀⠈⠻⣿⣿⣇⠀⠁⠀⠀⠨⠉⠂⠀⠀⢀⡼⠃⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣌⣿⣿⣷⣦⣤⣤⣤⣤⣤⣶⣾⣯⠤⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠰⠾⡿⠉⡹⣿⣿⡿⠹⢿⣿⢧⢈⡏⠷⠁⠀⠀⠀ ⠀⠀⠀⠀⣤⣤⣤⡗⠀⡱⣩⠇⠀⠀⠀⠐⠞⣈⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠿⣿⣷⣭⣿⠀⠀⠀⢀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⢩⡏⠀⠀⠀⣾⡇⠀⠀⠈⣳⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠓⠒⠒⠚⠁⠉⠙⠛⠋⠀⠀⠀⠀⠀⠀⠀
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠛⣉⣉⣉⣉⣛⣛⣛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⣫⣵⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣤⣈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⢋⡉⠁⣴⡶⠶⠶⠤⠤⠲⠂⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣦⣈⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⣋⣴⡿⢫⣶⣿⣿⠿⠟⠛⠛⠊⠃⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⡙⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⠋⠰⢚⣫⣵⣶⠿⠛⣡⣶⣿⣿⣿⣿⣿⣷⢸⠗⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⣀⣠⣤⣤⡀⠉⢉⠙⠛⠻⠿⣿⣿⣿⣿ ⣿⣿⡿⣉⣭⣴⠆⣠⡶⠿⣛⣩⣤⣶⣿⡿⠟⣋⣥⣶⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡉⠙⢿⣿⣿⣿⣶⣾⣿⣿⣿⣶⣦⣄⠉⠻⣿ ⣿⢋⣀⣭⣭⢁⣿⡟⣁⣾⣿⠿⢿⣿⠋⢴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣷⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠸ ⣧⣸⣿⡿⢡⣿⣿⣿⣿⡟⢁⣴⣿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣶⣄⣶⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠆⠀⠀⢒⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢰ ⣿⣿⡟⣡⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⠿⠟⠛⣛⣛⣛⣛⣛⣛⣛⣫⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠁⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⢀⣾ ⣿⠏⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⠏⠂⠀⠀⠀⠉⠀⠘⠁⠛⠿⠿⠿⠏⢻⣿⡿⠿⠉⠛⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⢠⣾⣿ ⣯⣴⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⠿⠋⣠⣴⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⣠⣴⣶⣶⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⠿⠃⣀⣴⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⣾⣿⣿⣿⣿⣿⣿⣷⣴⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡿⠟⠛⠉⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⠿⠋⣁⠰⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⠟⣋⣴⣾⣿⣿⠀⠀⠙⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠛⠉⠀⠀⠀⠀⠀⠀⠀⢀⡀⠹⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⢃⣼⣿⣿⣿⣿⡏⠄⠀⠀⠀⠀⠉⠛⠛⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠋⠁⣠⣶⠀⠀⠀⠀⠀⠀⠀⢀⣀⠀⠘⣿⣄⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣣⣾⣿⣿⣿⣷⣿⡇⢰⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠉⠀⠀⠀⠀⠀⠀⠀⠰⢾⣶⣴⡾⠟⢁⣀⣤⠀⠀⢸⡆⠀⠀⠉⠳⣦⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡆⢸⡇⠀⠀⠀⠀⠀⢀⠀⠀⠀⠄⠀⠀⠀⠂⠀⠀⣠⣤⣄⡀⠐⢶⣶⣶⠺⠏⠉⣽⡟⠀⢠⡿⠁⠀⠹⣿⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⢿⣄⣷⡀⠀⠀⠀⠰⣶⣶⣶⣶⣶⣶⡆⠀⠸⣿⣿⣿⣿⣿⣷⣿⣯⣴⣬⣿⣿⠃⠴⠋⢸⣿⣷⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣖⢿⣿⣿⣦⣀⠘⢶⣿⣿⣿⣿⣿⣿⣧⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⣴⣤⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⡄⠻⣿⣿⣿⣿⣿⣿⣦⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⡿⣣⣶⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣀⠈⠻⣿⣿⣯⣭⣭⣭⣭⣭⣭⣭⣭⣿⣿⣿⠟⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⡆⣧⠈⠛⢿⣿⣿⣧⣤⣤⣽⣿⣿⣿⠟⢁⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡯⣿⣿⣿⣿⣿⣿⡇⣿⣧⠀⠀⠈⠙⠻⢿⣿⣿⠿⠋⠀⠀⣏⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠿⠿⠿⠿⣿⠿⢧⣿⣿⣇⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⣼⣿⡄⢿⣿⡿⠿⠿⠟⠛⠛⠻⠿⠿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⡿⢁⣴⣶⣾⣿⣿⣷⣶⣶⡆⣸⣿⣿⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣧⡀⢤⣶⣶⣾⣿⣿⣿⣿⣿⣶⣦⡀⠙⢿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⡟⠁⣿⣿⣿⣿⠿⠛⠋⠉⣁⣰⣿⣿⡜⣿⣿⡄⠀⠀⠈⢀⣴⡆⠀⣸⣿⣿⣿⣿⣦⡹⠿⠛⠛⠻⠿⢿⣿⣿⣿⣿⣦⡈⢻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣶⣿⣿⣿⡿⢁⣤⣤⣄⠰⣿⣿⣿⣿⡇⠸⣿⣿⡀⠀⢤⣾⣿⠁⢀⣿⠟⣿⣿⣿⣿⣿⣦⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣦⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢃⣾⣿⣿⣿⡆⠹⣿⣿⣿⡇⠀⢻⣿⣷⠀⢸⣿⡟⠀⣸⡏⢰⣿⣿⣿⣿⣿⠏⣸⣿⣿⣶⣶⣤⡀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠈⣉⣉⣉⣉⣩⣀⠊⠛⠿⠗⠀⠘⣿⣿⣧⠈⣿⣧⣴⡿⠀⣾⠟⠉⣩⣥⡀⢀⣤⣤⣤⣤⣤⣤⣤⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣦⣼⣿⣶⣤⡀⢹⣿⣿⣇⠹⣿⠟⠁⣰⣇⣴⣾⣿⡿⢁⣿⣿⣿⣿⣿⣿⣿⣿⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣆⣿⣿⣿⣦⣤⣤⣤⣿⣿⣿⣿⣿⣥⣾⣿⣿⣿⣿⣿⣿⣿⣿⠄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⡠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠔⢁⠄⠋⠀⣠⣼⠟⡭⢊⠱⠈⠀⠀⠘⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⢀⠆⡼⠁⠂⠀⠀⠄⡁⢂⠐⠁⠄⠂⣬⢃⣾⣏⡗⣏⠱⡈⢆⠡⢊⠄⠄⢃⠀⠀⢣⠀⢀⠀⠀⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠢⢄⣠⠁⡀⠠⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠤⠒⠉⡀⠔⠁⠀⣤⣞⠟⡬⡙⠰⠁⠂⠀⠀⠀⠀⠰⡀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⡜⠰⠁⠀⠀⠀⠰⠀⠄⠂⠈⠀⣬⠞⣡⣾⢿⡜⡇⡏⢆⡑⠢⢘⠠⠂⠌⡐⠀⠀⢸⣃⠎⣌⠳⣐ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠂⠋⢁⠠⠒⢁⡠⢒⣥⡟⡳⢌⡓⣤⡥⢥⡤⣤⠤⣄⣀⣀⣀⠐⠄⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⠘⢠⠃⠀⠀⠀⠌⠐⠀⠀⣀⡥⠚⣁⣼⡿⣏⣿⡘⡇⡜⠢⢌⠡⢂⠡⡁⢂⠐⠀⠀⢸⠐⠌⡀⠣⠌ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⢈⠠⠔⣊⣥⢶⡛⣦⡽⠼⢫⠙⠒⠛⠙⠒⠓⠛⠒⠭⢮⣅⡏⡻⢦⡀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠁⠀⠀⠤⠚⢁⣠⠶⣛⠼⣟⣗⣺⠑⠆⡱⡁⢎⠠⠃⠤⢁⠠⢈⠀⠀⢸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠈⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣀⠴⢀⣴⣾⣛⡬⢣⠝⡐⠬⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠛⠵⢆⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⡁⢤⠴⡚⢤⠓⣭⢚⡽⢆⡳⢌⡁⢆⡑⢂⠡⢃⠰⢈⠀⢂⠀⠀⢺⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠁⠀⠀⠀⠈⠑⠒⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠤⠖⣉⣥⡾⣿⡟⢦⠣⠌⡁⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠄⠀⠐⠀⠀⠀⠀⠊⠀⠀⠀⢀⡄⠴⢚⠡⢃⠜⣠⢋⡔⢫⠞⣧⢹⠀⡐⠢⢌⠂⡅⢂⠒⠠⢈⠠⠀⠀⣻⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠄⠀⠢⠄⣀⡀⠠⠀⠤⠀⠀⠤⠀⣉⡡⣂⣴⣾⠟⣭⢳⣿⠉⣦⢱⡀⣤⠀⣿⡴⣎⣿⣖⣣⠖⣶⢤⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⢐⡺⣭⣶⣷⢮⣴⣁⠎⣐⠢⢜⢣⣛⡦⢳⠈⢀⠃⢆⠘⡀⠆⠡⠒⠀⡐⠀⢠⢹⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠀⠀⠀⠀⠀⠀⠀⠀⢠⠉⢩⠋⣩⣤⣤⣤⠾⡶⢻⡿⠏⠉⡜⢰⣿⠋⢖⠸⣦⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣽⡳⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠂⠄⢃⠐⡐⠌⣉⢋⠛⠿⣿⡶⣍⣆⠣⣞⡧⢻⢀⠸⡈⠆⡘⠠⠌⢡⠈⠐⠠⠀⢠⢹⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠎⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⡇⣸⣿⡿⠋⠀⢣⠘⣽⠁⠀⢰⠁⢸⣿⠀⠀⠘⢮⣿⣿⠟⢹⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣾⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠂⢌⡐⠨⡐⢌⠰⡀⢆⡉⠔⡠⢙⢿⣷⡳⣜⡧⢻⠀⢰⠁⢒⠈⡅⠌⡄⠈⠄⠡⢀⠢⠌⢧⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠸⠀⡇⢻⡟⠁⠀⢀⢦⣻⡇⠀⠀⡄⠀⣻⡇⠀⠀⠀⠀⣸⠁⠀⣿⣟⣿⣭⣾⣿⣿⣟⣿⠀⠈⢿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⠠⡑⢂⠌⡱⢈⢆⡱⢨⠔⣠⠃⡔⢡⠂⠽⣷⢼⡗⡹⡆⢸⢡⠨⢐⡐⠂⠤⢁⠈⠔⢠⡘⠨⡐⢤⣒⡔⣦ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⠀⠀⠃⡸⡘⣇⠀⢀⣞⣿⣳⡇⠀⠀⠁⠀⣿⠁⠀⠀⠀⠀⢻⡀⢸⣿⣏⢿⣿⣿⣿⣿⢮⣿⠀⠀⠀⢿⡦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢁⠆⡱⣈⠦⡹⢴⣋⣾⣵⣯⣞⣥⣻⢴⣡⠚⠤⣉⢾⣿⡀⡇⢸⢺⠐⡡⢐⡉⡐⠂⠌⠨⠄⣷⠠⡑⢬⣷⣹⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠁⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⢠⠀⢣⢹⡀⠈⣾⣳⣿⠁⠀⠀⠀⠀⣟⠀⠀⠀⠀⠀⠀⠣⣈⣿⣮⠙⠿⠿⡛⢮⣿⠃⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠠⡑⢬⡘⢴⢡⣾⣷⣿⣿⣿⡿⣿⣿⣿⣿⣷⣻⣉⠖⡌⣾⢏⡇⢳⠘⡝⡆⢧⠁⢆⡈⠥⢈⠡⢺⣾⣔⣯⣿⣾⡿⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠀⢈⢧⠁⡄⠙⢷⣿⠀⠀⠀⠀⡆⢻⡀⠀⠀⠀⠀⠀⠀⠀⠙⠻⠯⣭⣶⡽⠟⠁⠀⠀⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠠⡑⡜⢢⡙⣶⣿⠟⣿⣿⣿⣿⣷⠀⠘⠻⣿⣿⣿⢿⡎⢴⣿⡏⣗⠘⡆⢻⣱⠸⡅⢢⠐⡌⢢⠘⠌⣿⣻⣟⣯⣷⣟⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠘⢧⠀⠀⠀⠘⡇⠀⠀⠀⢇⠈⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠐⠒⠒⠒⠊⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢢⠱⣌⢣⣿⣿⣿⣿⣿⣿⣿⢿⣿⠀⠀⠀⢹⣿⣿⡷⢟⣺⣿⣏⢻⡄⢗⠘⣧⣃⠳⡄⢃⠌⡄⢊⠔⣮⣟⣯⢷⣟⣾⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⡗⠈⢎⢳⡀⠀⠀⢰⠸⠀⠀⢸⣦⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⢆⠳⣌⢫⣿⣿⢿⣿⣿⣿⡿⣿⠏⠀⠀⠀⢸⣿⠷⣚⣱⣿⣿⣿⡘⣿⡌⢦⡘⢷⡡⢙⢦⣌⠰⡁⢎⣹⣿⣞⣯⡿⣾⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⠀⡇⠀⢌⢢⣷⣀⣀⠘⠀⠀⠇⠀⠻⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢌⢪⠱⣌⠲⣙⢿⣷⣬⣋⣼⣿⠏⠀⠀⠀⣀⣾⢅⡚⣴⣿⠧⡟⣿⣷⣭⢳⣎⠵⣄⠛⣦⡌⡙⣻⣿⢟⣿⡿⣽⡾⣽⢷⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠀⠀⠀⡇⠀⡾⠋⠀⣠⣿⣿⣇⠀⠸⡀⠀⢻⡡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⢆⠳⡠⠓⣌⠲⣉⢛⠻⢯⣤⣀⣀⣤⡼⠏⡥⢒⢬⣿⡟⠸⢱⣿⣭⢳⠻⣚⣛⢻⣦⣤⣹⣿⣵⣾⡿⣯⣟⡷⣟⣯⣟⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠙⠀⠀⢠⠁⢸⡁⠀⣾⢿⣿⣿⣿⠀⠆⠠⠀⠀⢇⢂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⢮⡱⢁⠣⠄⢃⠌⡌⠚⡄⡒⠔⡎⡰⢌⡱⡘⣬⣿⡟⠡⠁⣾⡟⡤⢃⠆⡡⢀⣿⣿⣿⣟⡿⣯⡿⣽⣷⣻⣽⣟⣷⣻⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠆⠀⠀⢸⠀⠘⣿⣿⢿⣿⣿⣿⣿⣇⠘⡀⠑⢄⠈⢄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠀⢀⡘⢆⠣⡅⢊⠌⠠⠒⣈⠡⢂⡑⢊⠴⡑⢪⠔⣹⣾⡟⠡⠘⣰⡿⡝⡰⠃⢌⠐⣸⣿⣿⢾⣽⡿⣽⣻⢷⣯⣟⣾⡽⣾⢷⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⢈⠈⠀⢌⠛⣿⣾⣽⣭⣷⡿⡄⠐⡄⠀⠢⡈⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠐⡙⣄⡄⢦⡜⢤⠓⡌⠄⣈⠂⠡⡀⠆⡡⠘⣄⠣⡜⡡⢞⣵⡟⢨⠁⣲⢯⢳⠩⠔⡉⠂⡔⣿⣿⣟⡿⣯⣟⣿⡽⣟⣾⣽⢾⣻⣽⣟⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠃⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⢀⠇⠀⠀⠀⡀⠀⠀⠈⡇⣿⣶⣹⢾⣹⣟⣷⡀⠘⠄⠀⠙⢦⡙⠄⠀⠀⠀⠀⠀⠀⠀⠀⢲⣿⡁⠀⠀⠀⠀⠀⠀⠀⠘⠤⡙⠦⡘⢆⠱⡈⠔⠠⢈⠄⡁⠆⡡⢃⠤⡓⢬⡑⣿⠟⢠⠏⣴⣯⣛⠬⠓⡌⠰⠁⢴⣟⣿⣽⢿⣻⣽⡾⣟⣿⣳⣿⣻⣽⡾⣽⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠠⠀⡘⠀⠀⠀⠀⠇⢀⠀⢱⢣⣯⡷⣻⢣⡿⡾⣽⣷⡄⡈⢢⠀⢄⡈⠉⠒⠤⠀⠀⠀⠀⠀⠀⠀⠈⠹⣷⣶⣖⣖⡲⣖⡤⣄⣀⣌⢂⠱⡈⢆⠡⡘⠀⠆⠰⡈⠔⡡⢊⡒⢍⠦⣿⠋⣠⠟⡼⡿⢢⡝⠬⡑⠠⠁⠎⣼⢯⣿⣾⢿⣻⡷⣿⣻⢷⣟⡷⣟⣷⣟⡿⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠃⢠⠃⠀⠀⢠⠀⠀⢀⠀⡾⣼⢺⡗⣯⢳⣻⢽⣿⣽⣿⣿⣦⡁⢆⠙⠆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠨⡻⣷⢮⣝⣓⠿⠾⡽⣞⣿⣦⣵⡬⢒⠠⠉⡄⢃⠰⢁⠦⡑⡜⣬⡿⢃⢢⣿⡟⣼⢣⠓⡬⠑⠠⢁⠱⣈⣿⣿⣻⣾⣿⣻⣽⡿⣽⣟⣯⡿⣟⣾⡽⣿⣽ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⢰⠀⡞⠀⠀⠀⡄⢰⠀⡇⢠⢇⡷⣿⢼⢧⢫⣟⣾⣿⢷⣻⢾⣿⡇⠀⠳⡀⠈⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⣌⠻⣯⢿⡿⣿⢿⣿⣿⠛⢡⠂⠅⡂⠅⠒⡈⠔⡡⢢⠱⣼⡟⢁⣴⣿⣿⡿⣑⠪⡑⢢⠉⡐⢀⠣⢸⣿⢾⣟⣷⣿⣻⣽⣟⣿⢾⣻⣽⡿⣽⣻⣽⣾ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠇⣰⠇⠀⠐⢠⠀⡆⢰⢀⡏⣼⢳⡏⡞⡬⣿⣧⣿⣯⢿⣽⣻⢾⠁⠀⠀⠈⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠻⣼⣳⣻⣽⡻⠞⠡⡘⠄⢊⠰⢀⡉⠆⡱⢈⣔⣧⠿⢋⣰⣾⣿⣿⡿⣑⠢⡑⢌⢂⠡⠐⠠⡙⢼⣿⣻⣿⣯⣷⣿⣟⣾⣟⣿⣯⣷⢿⣻⣽⡷⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⡀⢠⡟⠀⠠⢁⠆⡸⢀⠃⣼⡼⡿⣿⡘⢥⣳⣿⣽⣟⣾⣟⡾⣽⡿⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠱⣀⠆⣡⠂⡔⢡⠂⠥⢈⠂⢆⠡⡐⣡⣲⣽⡯⢖⣥⣿⣿⢿⡿⣛⠶⣡⢳⢈⠐⡂⠄⢁⠢⡙⣼⣿⣻⣷⣿⢿⣾⣟⣿⡾⣟⣾⣟⣿⡿⣽⣿⣻ ⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⢁⠊⡐⠀⣎⢺⢯⣾⢿⣧⠘⡾⣿⢷⣿⡽⣾⢹⣽⣳⠃⠀⠀⠀⠀⠀⠀⢀⠹⢤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠎⣀⠒⢨⠐⢌⠂⡅⢊⣤⣣⣷⣿⢻⣟⣾⡿⣯⢽⣞⡯⣞⣻⡜⡱⡎⡇⠐⡐⠈⠄⠂⡕⣺⣿⢿⣽⣾⣿⣟⣯⣿⣟⣿⣯⣿⢯⣿⣟⣷⣿ ⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠀⠀⠀⠀⢀⡜⠀⠀⢠⠂⠀⢁⡜⡱⢫⣿⣯⣿⢃⣹⣾⣟⣿⢯⣽⡇⢈⣷⡟⠀⠀⠀⠀⠀⠀⠀⠀⡐⢢⡙⠶⣄⡀⠀⠀⠀⠀⠀⠀⢀⠂⢄⠊⠤⡉⣔⣬⣶⣿⡿⣝⡿⣞⢯⣞⢾⣟⡷⣻⢞⡽⢮⡵⣚⠵⣹⡼⡄⠐⢣⡈⢐⢻⣼⣿⣿⣿⢿⣯⣿⣿⣽⣾⣿⣽⡿⣿⣯⣿⣯⣿ ⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠜⠀⠀⢠⠃⠀⠀⡜⡜⣱⣿⣿⠟⠡⣼⣿⣫⣿⢯⡿⠾⠀⠀⠀⠻⡀⠀⠀⠀⠀⠀⠀⠀⡐⢡⢊⡽⢼⡹⢶⣤⣄⣀⣀⡈⣄⣨⣤⣾⣶⣿⣿⡿⣿⣻⣿⣽⣻⡽⢯⣞⣻⢾⣹⢧⣿⣹⢧⡳⣍⠞⡥⣗⣇⠠⢀⠙⣄⠺⣽⣿⣿⣿⣿⣿⣻⣽⣿⣯⣿⣟⣿⣿⣽⣷⣿⣿ ⢀⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀⠀⠀⠀⢀⠆⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⢃⣀⣀⠌⠴⠿⠿⠿⠯⠤⠷⠿⠷⠟⠓⠛⠳⡀⠀⠀⠀⠀⠷⠄⡀⠀⠀⠀⠀⠀⢀⠣⡘⢴⢣⡛⣧⢳⡝⣿⣽⣻⣿⣿⣿⣻⣽⣿⢾⣿⣟⣿⣿⣞⣷⣻⡟⣾⣭⢿⣝⡞⣾⣝⣮⢳⡝⢮⡱⣚⢮⡳⣄⠂⢄⠳⣼⡻⢿⣿⣯⣿⣿⣿⣯⣿⣟⣿⣯⣿⣿⣽⣾⣿ ⠀⢂⠀⠀⠀⡰⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠈⡀⠄⠂⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠢⡐⣀⠀⠀⠀⠈⠱⡦⠐⠲⢤⡀⢣⠙⢦⠣⡝⢢⢏⣾⢻⣯⣿⡻⢿⢿⣿⣿⣻⣿⣳⣿⣿⣾⣿⣞⣷⣻⡵⣾⣻⢾⣽⣳⣞⣷⣋⢾⣡⢓⠭⣎⠽⣊⠷⢆⡒⡘⠿⢿⡾⢿⣿⣿⣯⣿⣿⣿⡿⣿⣿⣽⣿⣿⣿ ⠐⠠⠈⡐⢠⠃⡅⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⢀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⣔⠠⢄⠀⠀⠀⠀⠀⠀⠉⠓⢮⣇⣳⣌⣷⡿⣁⠦⣼⢷⡹⢏⣞⠲⣍⢯⡹⣝⡲⢧⣛⡼⡹⢮⡽⣹⡝⡿⢿⣷⣻⣞⡷⣭⢺⡔⢫⠜⡔⣫⡑⢎⠆⡱⢉⣿⣶⣾⣿⣿⣿⣿⡿⣷⣿⣿⣿⣿⡿⣿⣯⣿ ⠀⠀⠀⠀⡞⠈⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠙⠤⣌⠒⣢⠀⡀⣀⣉⠊⣑⣟⣔⡻⢽⢹⡴⣏⢧⡛⡼⣌⠻⡜⣦⠳⣎⠵⢣⠞⡔⢫⢓⠼⣑⢮⣙⠳⣎⢟⣿⡽⣧⢣⡟⢢⡙⡜⡰⣍⠲⡘⢄⠣⠼⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿⣿⣷⣿⣿⣿⣿ ⠠⠁⠀⢠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠒⠂⠤⢉⣙⠲⠦⢤⠀⠀⠀⠀⣼⣷⢞⡫⢼⡜⢦⡝⠲⢍⠳⠙⡄⢋⠤⢉⠆⡘⢌⠡⢊⠔⡡⠒⡌⠳⡘⢎⡖⣻⣷⡍⣿⢡⠚⡴⠱⣌⠣⠜⡠⡇⢌⢻⣿⣿⣿⣽⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿ ⢀⠃⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠸⠀⠀⠀⠀⡟⠅⠊⠀⠁⠈⠀⠀⠁⡀⢂⠡⡐⠌⡰⢈⠔⣁⠢⢘⠠⢊⡐⠡⢌⠱⡘⢢⠜⡱⢎⣟⢿⣢⠙⡔⢣⢌⡓⢌⡐⢿⡀⢚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⢈⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡇⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠐⠀⡀⠂⠄⢃⠰⢁⠊⡄⢢⠁⠆⡡⠐⡡⠊⠤⢑⠢⣉⠖⡩⢾⣟⣧⠩⠜⣂⠎⡔⢢⠐⣹⡦⠁⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣰⣴⣷⣲⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⡀⢂⠡⢊⠰⠁⢎⡐⠡⢘⠠⠑⡌⠢⡑⠄⣎⠱⣩⣿⢷⣉⢒⠡⢎⡑⢢⠑⡸⣿⡈⠼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢯⣿⣿⡻⣾⣽⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠠⢀⠂⠄⢃⠩⢄⠢⡑⢂⠡⢊⡐⢡⠘⣐⠢⢓⠴⣿⣛⠤⣊⠑⢢⢉⠆⡐⢡⣿⡷⡆⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡀⢼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠻⢾⣟⣀⡙⣞⣿⣷⢯⡄⠀⠀⠀⠀⠀⠀⠐⡀⠄⠂⢈⠐⠨⡐⢌⢢⠑⡌⢠⠃⢌⠢⡑⢢⢉⠎⡼⣿⣣⠚⠤⡉⢆⠸⢄⡑⢂⣿⣇⡗⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢳⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡇⣾⡗⣎⣿⣿⣹⣿⣾⡧⣄⠀⠀⠀⠀⠀⢁⠠⠐⢀⠂⢈⠐⠰⡈⢦⢩⡇⣢⠘⠤⡑⢌⢂⠎⡜⢼⡷⣯⠘⡥⢘⠠⡉⢆⡐⠌⣿⣷⢺⢈⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⢿⣿⢹⣿⣾⢿⣿⣿⣷⡿⠀⠀⠀⠀⠀⠀⠄⠂⠄⡈⠄⡘⠤⢑⠢⣿⡽⣡⠊⡔⡈⢆⡉⢦⡙⣾⣛⣧⠩⠔⣈⢂⡑⢢⠐⠌⣻⣿⢸⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠐⠸⣷⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢾⣽⣦⡛⢫⣝⣾⣾⡏⠀⠀⠀⠀⠀⠀⠀⠀⠈⡐⠠⣁⠒⡌⣌⢳⣯⠗⣆⠓⡤⢉⠆⣍⠲⣸⣯⡝⡧⡑⢊⠄⢢⠐⡡⢊⠰⣹⣿⢢⠉⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⢢⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢈⠂⡽⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠈⠿⣮⣝⣛⣻⣾⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠄⢒⠰⣈⢿⣯⣛⢤⡋⠴⡉⡜⠤⣃⣿⢧⣻⠱⡈⣅⠊⡄⠱⣀⠃⠆⣽⣿⡘⠄⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠑⢄⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⢀⢂⡹⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡐⢢⠛⠍⡙⢽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⠐⡰⢀⢋⣷⡝⣦⡙⢦⠱⡌⡓⣼⣟⢮⣳⢃⠱⣠⠂⠔⠡⢄⡉⠆⣽⣿⡘⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠑⠀⠀⠀⠀⠀⠀⠀⠀⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⡄⢺⡏⠀⠀⠀⠀⠄⢀⡒⠠⠤⠤⠤⠤⠄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡑⠌⢿⣦⣹⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠦⠴⢬⣂⠜⢿⡲⣍⠶⡱⢌⣱⣿⢮⡳⣽⢈⡒⠴⢈⠂⢅⠢⡐⠡⣿⣿⢨⢁⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡧⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⢈⣿⠁⠀⣀⠔⠂⠉⠀⠀⠀⠀⠀⢠⠀⠀⠀⠈⢁⠒⠤⢀⠀⠀⠀⠀⠐⢈⠘⣷⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠤⠖⠉⠁⠀⠂⠆⠀⠈⠱⣾⣟⡜⣲⠱⣊⣾⣯⢷⡹⢮⡁⢆⠳⡀⠎⠠⡑⢄⢃⣿⡟⡜⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢨⡝⣹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠄⢣⡟⢠⠊⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠁⠂⢄⠉⠂⢄⡀⠀⠀⠂⢹⣿⠀⠀⠀⠀⠀⠀⢀⠴⠊⣁⠤⠒⠀⠀⠀⠀⢼⠀⠀⠀⠘⣷⣙⢦⢛⣼⡿⣽⠮⣝⡳⢌⠢⢱⠐⡈⢅⡘⢄⢊⣿⢧⠇⣿⣿⣿⣿⢿⣿⡿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡙⢦⣳⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⡰⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠂⢄⠈⠲⣄⠁⡘⣿⡅⠀⠀⠀⡠⠚⢁⠤⠊⠁⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⢸⡝⣎⢞⣾⡿⣽⣛⡼⡳⢌⠱⣈⠆⡡⢂⠜⡠⢎⣿⠼⢸⣿⣟⡿⣾⢿⣯⣿⢿⣷⡿⣯⣿⣟⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⣍⠳⣜⡆⠀⢀⡠⠀⠒⠀⠀⠉⠉⠉⠉⠚⠒⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠢⡀⠑⢼⣿⣷⣀⠔⠊⢀⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠀⠀⠀⠠⡿⡜⣾⣿⡽⣯⠳⣜⢧⡉⢆⠸⡄⡑⢠⠊⡔⢺⡏⡇⣿⡿⣽⣻⣽⣻⢾⣽⢿⣞⣿⡽⣷⣿⣻ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡱⢌⡳⣍⡿⠂⠁⢀⠤⠐⠂⠉⠁⠀⠀⠈⠉⠑⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⢄⠙⠟⠁⡠⠚⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠐⡟⣷⢿⣯⣿⣝⡳⢎⡳⠜⡠⢑⠢⡑⢂⠱⢨⢽⠡⣸⣿⣽⣳⣟⣾⡽⣿⣯⣿⢿⣾⣟⣿⣾⢿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⠀⠀⠜⣢⠳⣜⣧⠔⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⡟⠺⣿⣿⡷⣏⢧⠫⡵⢩⠐⢨⡑⢌⠂⡅⢣⠋⡴⣿⣻⢾⡽⣞⣯⢿⣿⣽⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⠀⠀⠸⡰⢹⢆⣻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⠀⠀⠀⠀⠀⠀⠀⠀⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢰⠏⣰⣿⡿⣽⣏⣎⠳⣩⠇⢎⠠⠜⡠⢊⠔⡡⢎⠱⣹⢣⠯⣽⢹⡞⣯⢿⡿⣿⣿⣿⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠇⠀⠡⢳⡹⣎⠖⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠛⠀⠀⢀⡟⠠⣽⣿⣻⢷⣯⠲⡍⢦⡙⢆⡐⢨⡑⠢⡘⢄⠣⡘⠤⢣⠙⡤⠓⡜⡡⢏⡻⣽⢻⣟⣿⣿⣿⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢱⡉⡗⣯⢹⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣻⡆⠀⠀⠀⠀⠀⠀⠀⢡⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⢠⡟⢈⠰⣿⣟⣯⣟⡾⣧⡙⢦⣙⠦⡐⠀⣎⠡⡘⢄⠣⡐⠡⢂⠱⣀⠃⠄⡑⠌⡒⢡⠫⡜⢎⡳⢏⠿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⣇⢫⢽⡲⣹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣦⠀⠀⠀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠞⠀⢀⡴⢋⠰⠀⢾⣿⡿⣽⢾⣝⢷⣹⠦⡘⢧⢹⠀⢸⢄⠱⡈⢆⡁⢢⢁⡒⢄⡊⠔⡀⠆⡁⠆⠡⢈⠂⡑⠊⡍ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠈⡆⢻⢱⣣⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⣯⡛⢤⡀⠀⠀⠀⠀⢃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠔⠁⣀⡴⢫⠐⡡⢂⠉⣾⣿⣻⣽⣻⢎⣛⣏⢷⣋⠤⢣⡇⠘⣎⠔⢡⠂⡔⠁⠦⡘⠦⡑⢎⠰⢌⡰⢁⠣⢄⠂⡄⠡⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠜⡄⠀⢘⠸⡝⡦⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣟⣇⠂⠌⠓⢤⣀⠀⠈⠆⠀⠀⠀⠀⠀⣀⣠⠤⠤⢤⠖⠒⠒⠋⠉⠉⠙⠒⠶⠦⣤⣄⣀⠀⠀⠀⢀⠠⢊⣡⢴⣚⠱⢌⠂⠥⠐⠠⢹⣿⣯⢷⣯⡟⣝⠦⣻⡎⢷⢎⡐⢻⡄⢻⡈⠆⡱⢠⠉⢆⠱⣃⠍⡆⢍⡒⡰⢉⠖⡌⢲⢈⠆⠥ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠈⢆⣹⠶⣹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣯⣷⠌⠰⠀⠀⠉⠋⠗⣚⠒⠚⠉⠉⠁⠀⠀⢀⢸⢸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠉⠙⠛⢖⠲⣚⢭⡿⡡⢎⡘⠤⠉⠄⠡⠌⢂⣿⣯⣟⡾⣽⡚⢼⣡⢛⠤⣋⢳⡌⢻⡄⢳⡈⠔⡡⣊⠬⡑⢦⠩⡔⣂⠆⡱⢈⠒⠬⠡⢎⡘⠥ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡘⠀⠀⠀⢆⠰⣫⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣷⢻⡌⠄⠀⠀⠀⠀⠀⢸⠉⠁⠒⠤⠄⣀⠀⠀⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⠀⠀⠀⠀⠀⠱⣘⣿⡹⣑⠦⡁⠂⠈⠀⠡⠘⠤⣿⡷⣯⢿⣱⡛⢦⢣⡋⢖⡡⢎⡹⢆⠹⣆⢳⢌⠰⠹⣖⡹⢆⡳⡜⡰⢊⠴⣁⠎⡰⢁⠆⡘⠰ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠰⡈⢒⡱⢾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡹⢆⠈⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠉⠓⠬⠼⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡜⠀⠀⠀⠀⠀⢡⣻⢷⡙⢆⠢⢁⠃⠆⡄⡀⠉⡀⣿⡿⣽⣫⢗⡹⣌⠧⣙⠦⡑⢢⠑⢮⡑⢌⠢⠙⢦⠡⡙⣟⢮⡵⣍⡳⣍⠶⣡⢎⡱⢌⠢⡍⢒ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠞⠀⠀⠀⢀⡂⢁⢎⡱⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢦⠁⠀⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠇⠀⠀⠀⠀⣈⢲⣿⢧⡋⠔⠂⠁⠈⠂⠀⠡⠀⠄⢹⣿⣳⣏⢾⡱⡜⡜⣡⢎⡑⢢⠁⠀⠻⢤⣣⢉⡄⠓⣔⢨⢓⢷⡮⢵⢎⣳⢣⢮⣱⢋⠷⣸⢡
⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘ ⠀⠀⠀⣰⡾⠟⠛⠙⠛⠻⣷⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡿⠛⠋⠛⠛⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢰⣿⡷⣾⢶⣦⡄⢀⣼⣷⣶⠶⡶⠾⠶⠶⠶⢶⣶⣼⣿⣀⠀⠀⣤⣶⣶⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⢸⣿⣼⢡⢏⣽⣿⠟⠋⠁⠀⠀⠀⢀⠀⠂⠠⠀⠀⠈⠉⠻⢿⣾⣿⢹⡰⣹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠹⣷⣯⣾⠏⠀⢀⠠⠐⠀⠁⡀⠂⢀⠐⠀⠠⠁⠐⠀⢀⠀⠙⢿⣧⣾⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣿⠃⠀⠂⢀⠀⠀⠐⠀⠀⠄⠀⠠⠈⠀⠠⠐⠀⠠⠀⢀⠀⢻⣯⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⡟⠀⠁⠀⠠⠀⠀⠐⠀⠁⠠⠈⠀⠄⠐⠀⠀⡀⠂⠐⠀⠀⠀⢿⡇⠀⠀⠀⡞⠁⠈⠉⠒⢄⣠⠤⠤⠄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡇⠇⠀⠀⠂⠀⢀⠁⠂⠀⠂⢀⠂⠐⠀⡈⠀⠀⢀⠂⠐⠈⠀⢸⣿⠀⠀⡇⠀⡞⠉⠓⣆⣽⡥⠤⢤⡀⠙⡆⠀⠀⠀⠀ ⠀⠀⠀⠀⣿⡇⠀⠂⠁⢠⣾⣶⣤⠀⠁⠄⠀⠀⠂⠠⢀⣴⣷⣦⡀⠠⠀⠀⢸⣿⠀⠀⡇⠀⡇⠀⠀⠛⠉⠀⠀⠀⡼⠀⠀⠇⠀⠀⠀ ⠀⠀⠀⠀⢸⣷⢄⡀⠀⢘⣿⠿⠟⢀⠀⢠⣥⡄⠀⠀⠐⠿⣿⠟⠃⠀⠀⠀⣼⡟⠀⠀⠹⡄⠘⢆⠀⠀⠀⠀⠀⡴⠁⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠈⢿⣮⡣⠀⠈⣟⡖⠀⠈⢀⣸⣿⣇⠀⠐⠀⠀⣟⡒⠀⠀⠀⣲⣿⠃⠀⠀⠀⠈⠦⠀⠳⣄⡤⠔⠃⠀⠀⠀⡴⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠙⠻⣷⣦⣄⣀⡀⠀⠛⡋⣉⣙⠟⢀⠀⢀⠀⣀⣠⣴⣿⠟⠁⠀⠀⠀⠀⠀⠈⠣⠀⡇⠀⠀⠀⢀⠔⠃⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠋⣻⡛⠛⢿⣿⣿⣿⠿⠿⠿⠿⠛⠛⠛⢿⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⠒⠒⠉⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⣿⡇⢰⣿⣿⣿⣿⣷⠁⡀⠉⠰⣿⡀⠈⠙⢷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⠁⢀⣿⠠⠀⢿⣿⣿⣿⡿⠀⠀⡄⠀⢻⣷⡀⠀⠈⣿⣧⣤⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢾⣏⠀⣰⣿⠈⠀⠀⠀⠈⠀⠀⠀⠀⢿⠀⣠⣿⣷⣦⣶⣿⣿⣯⠉⡩⢙⠻⢿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢈⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⢀⣀⣠⣜⠀⢼⡧⠡⠌⣿⣿⠛⢡⠊⡔⢡⠊⡔⢨⠛⡿⣶⣶⣦⣤⣀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡿⣷⡀⣀⣤⣤⣤⣤⣤⣄⣾⣿⣏⠁⠀⢻⣧⠑⢢⠐⡄⢊⢄⠣⡘⢄⠣⡘⢄⠣⡐⢄⠂⢆⠩⢛⣷⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⠿⣿⡿⠟⠉⠉⠈⠉⠉⠉⠻⣿⣧⣤⣴⠾⢿⣯⡢⢁⠚⡰⢈⠆⡱⢈⠦⡑⠌⢆⠱⡈⠜⣈⠆⡡⢾⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢷⣧⣦⣥⣮⣄⣃⣒⣬⣜⠠⠓⡘⢢⠁⠎⣴⡿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⢿⣿⣍⣏⣥⣷⣷⣾⡶⠿⠟⠋⠁⠀⠀⠀⠀ ⠄⠠⠀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣉⡉⣁⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⡰⢃⡠⠔⠊⠁⣠⡾⢁⠏⠀⠀⠀⠀⢠⡾⠀⠀⠀⢀⠞⠃⠀⢠⢿⠀⠀⠀⠀⠀⠀⠀⠇⢠⢿⠈⡇⠀⠀⠀⠀⠒⠢⢽⣉⠁⠀⠒⠒⠠⠬⣦⠀⠀⠀⠀⠷⡀⠀ ⠀⠀⠀⠀⢀⡼⠕⢁⠇⠀⢠⠎⡸⠁⡞⠀⠀⠀⠀⢠⢫⠃⠀⠀⢠⢞⢾⠀⠀⡎⡸⠀⠀⠀⡀⡀⠀⢸⠀⡞⢸⡄⢱⠀⠀⠀⠀⠀⠀⠀⢧⠈⠑⠢⢄⡀⠀⠘⢆⠀⠀⠀⠀⠙⡄ ⠀⠀⠀⢀⡾⠁⠀⡼⠀⢠⠃⢰⠃⣸⠀⠀⠀⠀⢠⠏⡞⠀⠀⢠⡿⠃⣸⡤⢾⠋⠀⠀⠀⠀⠀⠇⠀⢾⢠⡵⢹⠸⡘⡄⠀⠀⠀⠀⠀⠀⠘⡄⠀⠀⠀⠈⠑⠢⢼⡆⠀⠀⠀⠀⠘ ⠀⠀⠀⡾⠁⠀⢸⠃⢀⠃⠀⡌⢠⠇⠀⠀⠀⠀⡜⢠⠁⢀⣠⡮⠴⠚⣿⠀⡇⠀⠀⠀⠀⠁⠀⠀⠀⡈⣿⠀⠸⡆⠱⢹⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⢠⢹⣶⢤⡀⠀⠀ ⠀⠀⡼⠁⠀⣠⠾⠀⡞⠀⠀⡇⡘⠀⠀⠀⠀⢰⠁⢸⠉⢀⡏⠀⠀⠀⢿⢸⠁⠀⢸⠀⠀⠀⠀⠀⢀⡇⠃⠻⣆⡇⠀⢳⣧⠀⠀⠀⠀⠀⠀⠸⡆⠀⠀⠀⠀⠀⢸⡄⢿⣆⠈⠲⢄ ⠀⣰⠁⣠⠞⠁⡄⠀⠀⠀⢸⡇⡇⠀⠀⠀⠀⡌⣠⣿⠀⡜⠀⠀⠀⠀⢸⡏⠀⠀⢸⡀⠀⠀⠀⠀⢸⣸⠀⠀⠈⠷⢄⠀⠙⡆⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠘⡇⠘⣮⢦⡀⠀ ⢠⢇⠜⠁⠀⠀⡇⠀⠀⠀⠸⣷⠇⠀⠀⠀⠀⡷⠁⡇⣰⠁⠀⠀⠀⠀⠸⠇⠀⠀⠀⡇⠀⠀⢀⠀⠸⡟⠀⠀⠀⢸⠀⠉⠢⢽⡄⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⡇⠀⢷⠀⠱⣄ ⡾⠋⠀⠀⠀⠀⠁⠀⠀⠀⠀⣿⠀⠀⠀⠀⣼⠃⠒⣷⠗⠒⠒⠒⠒⠒⠒⡆⠀⠀⠀⢹⠀⣧⠘⡆⠀⡇⠀⠀⠀⠘⡇⠀⠀⠀⢹⡑⠂⠀⠀⠀⠀⡇⠀⠀⠀⠀⢀⡇⠀⠘⡀⠀⠈ ⠁⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢹⠀⠀⠀⡼⢻⠀⢠⣿⣷⣶⣶⣶⣶⣶⣶⠄⠀⠀⠀⠈⡆⡇⢣⣱⠀⣧⠒⠤⢄⣀⢃⠀⠀⠀⠀⢣⡀⠀⠀⠀⠀⠃⠀⠀⠀⠀⢸⢷⡀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⢸⠀⠀⣰⠁⠘⡆⠚⠛⠛⠛⠛⠛⠛⠉⠉⠀⠀⠀⠀⠀⠹⣧⠀⠹⣇⢸⣿⣶⣦⣬⣉⡐⠲⠤⢄⡈⢧⠀⠀⠀⢠⢸⠀⠀⠀⠀⢸⠀⢣⠀⢷⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⢸⠀⢠⠃⠀⠀⡇⠀⠔⠋⠔⡥⠊⠁⠀⠀⠀⠀⠀⠀⠀⠀⢻⠀⠀⠘⣾⡟⠛⠿⣿⣿⣿⣿⣶⣤⡀⠈⢧⠀⠀⠀⢸⠀⠀⠀⠀⣼⠀⠈⡆⢸⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣇⠀⠀⠀⢸⣀⣾⠀⠀⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠈⠳⡀⠄⢀⡈⠉⠛⠿⠛⠃⠀⢸⢆⠀⠀⢸⡀⠀⠀⢠⢿⡀⠀⢹⠈⡄⢰ ⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⠀⣸⣿⣇⠀⠀⡸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠤⣄⠤⠤⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠈⠀⠀⠀⠀⠀⠀⣸⠈⢦⠀⢸⡇⠀⠀⡼⠀⡇⠀⠀⡇⣇⡆ ⠽⢶⣄⠀⠀⠀⠀⢸⠀⠀⡸⠁⢿⢸⠀⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⡠⠔⠋⠉⠉⠉⠙⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⡟⠀⡼⢧⢸⡇⠀⢠⢧⡀⠃⠀⠀⢹⡟⠀ ⣀⡀⢹⢳⠀⠀⠀⠘⠀⡴⠁⠀⡆⠘⠀⠀⠘⣄⠀⠀⠀⠀⠀⠀⠀⠀⣯⠊⠀⠀⠀⠀⠀⠀⠀⠀⠈⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠇⠈⢻⠃⠀⣯⡀⢱⣸⡸⡀⡼⡇⠀ ⠛⠺⣾⡞⠀⠀⠀⢰⡴⠁⠀⢸⠃⠀⠀⠀⡀⠈⢣⡀⠀⠀⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⣸⠀⠀⢸⠀⣼⠉⠀⡸⢣⢇⢻⠇⡇⠀ ⠀⠀⠈⠃⠀⠀⠀⠜⠁⠀⠀⡘⠀⠀⡇⠀⣧⠀⢸⠛⢦⡀⠀⠀⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡀⠀⠀⠀⠀⠀⠀⠀⢀⡏⢀⠇⠀⠀⢸⣰⣻⠀⣴⠇⠈⢿⠀⣷⡇⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⢰⠀⡿⡄⢸⠀⠀⠉⢢⣄⠀⠀⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀⢸⢇⡞⠀⠀⠀⢸⠟⣸⠚⠀⢠⠀⠈⣇⡇⠳⡀ ⠯⠽⠿⣝⣄⠀⠀⠀⠀⠀⠀⡇⠀⠀⠘⡄⢡⢣⢸⡀⠀⠀⢸⡇⠙⠦⢌⡣⡀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠀⠀⠀⣀⣀⠤⠴⢚⡏⡜⠀⠀⠀⡴⣣⠀⡏⠀⠀⠘⠠⡄⠘⢳⠀⠘ ⢀⡤⣒⣺⠼⠆⠀⠀⠀⠀⠀⡇⢠⠀⠀⢣⢸⡎⣎⡇⠀⠀⢸⠇⠀⣴⠒⢏⠛⠳⣦⣤⣄⣀⣤⣤⣖⠭⠴⡖⠊⢉⣩⠽⣗⡄⡜⣼⠁⠀⣠⠊⢀⡿⢠⠃⠀⠀⠀⡇⠹⡀⠈⣆⠀ ⠕⠋⠀⠀⠀⠀⠀⠀⠀⠀⣰⢇⢸⡆⠀⠈⣾⢱⡘⣷⠀⠀⢸⣀⢼⠞⢆⠀⠑⢶⡚⡇⠀⠀⠀⠀⢀⣀⠤⠟⠛⠁⠀⢀⠬⣿⡿⡽⣠⠞⠀⠀⢸⡇⣼⠀⠀⠀⠀⠀⠀⡙⣄⠘⡆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡵⢻⣼⢇⠀⠀⢸⠀⢱⣘⡤⠒⢉⡠⢎⠀⠀⠑⢄⠀⠉⠛⠤⠖⠒⠈⠉⠀⠀⠀⢀⠴⠊⠁⢠⠟⠙⡟⠁⠀⠀⢀⡟⢸⣽⠀⠀⠀⠀⠀⠀⡇⠈⢧⡘ ⠀⠀⠀⣠⣾⠗⢊⣝⣾⠟⠀⠀⢗⣾⠀⠀⢸⡴⢊⡽⣷⡋⠁⠀⠈⠳⡀⠀⠀⠉⠒⠠⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡤⠋⠀⢰⠃⠀⠀⢀⣾⢳⠛⣇⡆⠀⠀⠀⠀⠀⡇⠀⠀⠘ ⠀⠀⡴⡿⠁⣰⡿⠋⠀⠀⠀⠀⠸⣿⡆⠀⢸⡔⠉⠀⠈⠻⢆⠀⠀⠀⠈⠢⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡠⠖⠉⠀⠀⠀⡸⠀⠀⢀⡾⡱⠯⣙⢿⡇⠀⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⣰⡽⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⡿⡌⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠄⠀⠀⠀⠀⡤⠤⠐⠊⠁⠀⠀⠀⠀⠀⢠⡇⠀⠀⣾⡵⠁⠀⠈⢣⡻⡀⠀⠀⠀⠀⣇⠀⠀⠀ ⠀⢸⡇⠀⢸⡇⠀⠀⠀⠀⠀⠀⢰⢁⢻⣄⠀⢃⠀⠀⠀⢠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡼⠀⠀⣠⠞⠀⠀⠀⠀⠀⢳⢳⠀⠀⠀⠀⣿⠀⠀⠀ ⢀⣼⡇⠀⢸⣇⠀⠀⠀⠀⠀⠀⢸⢸⡸⠈⢦⡸⡄⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠁⢀⠞⠁⠀⠀⠀⠀⢀⠀⠘⢸⠀⠀⠀⠀⢹⠀⠀⠀ ⡿⠋⠀⢀⣜⡍⠀⠀⠀⠀⠀⠀⡀⣾⡇⠀⠀⠑⢧⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣣⠞⠁⠀⠀⠀⠀⠀⠀⡜⠀⢀⢸⠀⠀⠀⠀⢸⠀⠀⠀ ⢕⣦⣤⡾⠋⠀⠀⠀⠀⠀⠀⠀⡇⡏⠀⠀⠀⠀⠈⣇⢸⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠟⠁⠀⠀⠀⠀⢀⡄⠀⢰⠃⠀⣸⡾⠀⠀⠀⠀⡿⠀⠀⠀ ⠀⠈⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣷⡇⠀⠀⠀⠀⠘⡄⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⢀⡎⠀⢀⢧⠁⠀⠀⠀⠀⡇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⢸⣇⠀⠀⠀⠀⠀⠳⡘⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡯⢏⡉⣉⢶⡰⠀⠀⠀⡏⠀⡼⠀⢀⡜⡞⠀⠀⠀⠀⠀⠇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠈⡼⠀⠀⠀⠀⠀⠀⠳⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡁⢨⣥⠏⣈⠧⠀⠀⢀⠃⡴⠀⠀⠸⢸⠀⠀⠀⠀⠀⢰⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⢳⣇⠀⠀⠀⠀⠀⠀⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀⠀⠀⠀⢸⡼⠁⠀⠀⡆⡞⠀⠀⠀⠀⠀⡼⠀⠀⠀⠀
💖😺🎀
☁️/☁️🌬️
⠀୨୧⌢⌢⌢⌢୨꒰ 𐙚 ꒱୧⌢⌢⌢⌢୨୧ ┊ ┊ ┊ ┊ ┊ ┊ ┊ ┊ ┊ ┊ ˚★⋆。˚ ⋆ ┊ ┊ ┊ ⋆ ┊ ┊ ★⋆ ┊ ◦ ★⋆ ┊ . ˚ ˚★ • ೀ 𝑡𝑒𝑎𝑟𝑠 𝑖𝑛 𝑡ℎ𝑒 𝑎𝑏𝑦𝑠𝑠 🩹 𝑜𝑓 𝑚𝑒𝑙𝑎𝑛𝑐ℎ𝑜𝑙𝑦 ა ᱖ ´` ✼ - ● ∘ ◦ - ❂ - ◦ ∘ ● - ✼ ◟ - ✽ Name - Character Storage ✽ -◝ INFORMATION . . . ━ ━ ━ ━ ━ ✽ ◤ - ✽ Name ✽ - ◢ ✦ Name - ✦ Former Name - ✦ Nickname - . . . ━ ━ ━ ━ ━ ✽ ◤ - ✽ Identity ✽ - ◢ ✦ Sexual Orientation - ✦ Romantic Orientation - ✦ Gender - . . . ━ ━ ━ ━ ━ ✽ ◤ - ✽ Apperence ✽ - ◢ ✦ Height - ✦ Weight - ✦ Species - ✦ Physical Apperance - [Fur color, eyes color, ect. ] ✦ Other Forms - . . . ━ ━ ━ ━ ━ ✽ ◤ - ✽ Personality ✽ - ◢ ✦ Neutral Traits - ✦ Positive Traits - ✦ Negative Traits - ✦ MBTI - ✦ Likes - ✦ Dislikes - . . . ━ ━ ━ ━ ━ ✽ ◤ - ✽ Settings ✽ - ◢ ✦ Realm - ✦ Job - ✦ Powers - . . . ━ ━ ━ ━ ━ ✽ . . . ━ ━ ━ ━ ━ ✽ . . . ━ ━ ━ ━ ━ ✽ ✼ - ● ∘ ◦ - ❂ - ◦ ∘ ● - ✼
🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾 🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾⬛⬛⬛🎾🎾🎾🎾🎾🎾🎾 🎾🎾🎾🎾🎾⬛⬛🎾🎾⬛🟥🟥🟥⬛🎾🎾🎾🎾🎾🎾 🎾🎾🎾🎾⬛⬜⬜⬛⬛⬛🟥🟥🟥⬜⬛🎾🎾🎾🎾🎾 🎾🎾🎾🎾⬛⬜⬜⬜⬜⬜🟥🟥🟥🟥🟥⬛🎾🎾🎾🎾 🎾🎾🎾⬛⬜⬜⬜⬜⬜⬜⬜⬜🟥🟥🟥⬛🎾🎾🎾🎾 🎾🎾🎾⬛⬜⬜⬜⬜⬜⬜⬜⬜🟥🟥🟥⬜⬛🎾🎾🎾 🎾🎾⬛⬛⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛⬛🎾🎾 🎾🎾🎾⬛⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬜⬜⬛🎾🎾🎾 🎾🎾⬛⬛⬜⬛⬜⬜⬜⬜⬜⬛⬜⬜⬜⬛⬛⬛🎾🎾 🎾🎾🎾⬛⬜⬜⬜⬜⬛⬜⬜⬜⬜⬜⬜⬛🎾🎾🎾🎾 🎾🎾🎾🎾⬛⬜⬜⬜⬜⬜⬜⬜⬜⬛⬛🎾🎾🎾🎾🎾 🎾🎾🎾🎾🎾⬛⬛⬛⬛⬛⬛⬛⬛🎾🎾🎾🎾🎾🎾🎾 🎾🎾🎾🎾⬛⬜⬛🟥⬜🟥🟥⬜⬜⬛🎾🎾🎾🎾🎾🎾 🎾🎾🎾🎾🎾⬛🟥🟥🟥🟥🟥🟥⬜⬜⬛🎾🎾🎾🎾🎾 🎾🎾🎾🎾⬛🟥🟥🟥🟥🟥🟥🟥🟥🟥⬛🎾🎾🎾🎾🎾 🎾🎾🎾🎾🎾⬛⬜⬜⬛⬜⬜⬜⬛⬛🎾🎾🎾🎾🎾🎾 🎾🎾🎾🎾🎾🎾⬛⬛⬛⬛⬛⬛🎾🎾🎾🎾🎾🎾🎾🎾 🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾🎾
⠀⠀⠀⠀⠀⠀⠀⠀⠰⡭⡲⠤⠤⢤⠞⣉⣶⡿⡝⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡲⠃⠀⠀⠀⠸⣀⣻⣀⣹⡅⣹⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠙⠒⣇⣀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣉⣯⠀⠸⠀⠀⣠⡀⠀⠺⠀⠀⡧⠆⠀⠀⠀⠀⠀⠀ ⠀⡗⣄⢀⠀⠀⠀⠀⠜⡣⠤⠤⢄⡉⢁⡠⠤⠤⣼⠣⠀⠀⠀⠀⢠⡲⣳ ⠠⡓⠤⠍⠉⠉⠑⠢⡜⠀⠀⠀⠀⡑⠋⠀⠀⠀⠀⢣⠊⠉⣀⠀⡰⠔⣳ ⠀⠹⣖⣂⢉⢉⠣⢀⢧⠄⠀⠀⠀⠐⡐⠀⠂⡀⣂⣼⢦⠏⢙⠗⢒⠾⠉ ⠀⠀⠀⠁⠊⠋⠚⠑⠈⢿⢌⠀⠁⠉⢁⠑⢉⡠⠊⠀⠉⠉⠉⠉⠉⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠲⢄⡤⠒⠉⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡿⠿⠛⠛⠛⠛⠛⠛⠛⠿⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣠⣶⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣷⣞⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢠⣾⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⣦⣤⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢠⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠿⠿⠿⢿⣷⣶⣶⣤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⣰⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠻⣿⣦⡀⠀⠀⠀⠀⠀⠀ ⠀⠀⣴⡿⠁⠀⠀⡀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣄⠀⠀⠀⠀⠀ ⠀⣰⣿⠁⢀⣴⣆⢻⣮⣷⣄⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⣿⡄⠀⠀⠀⠀ ⠀⣿⡏⠀⣾⣿⣿⣷⣿⣿⣿⣷⡀⢸⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣇⠀⠀⠀⠀ ⢸⣿⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⢿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⠿⣷⣦⠀ ⢸⣿⠇⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣷⡎⣿⡇ ⠘⣿⡄⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⢸⣿⠀⠀⠀⠀⠀⣰⡶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣟⣷⡿⠃ ⠀⢻⣷⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⡇⢸⣿⠀⠀⠀⠀⠀⠈⠷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠛⠉⠉⠉⠉⠀⠀ ⠀⠀⢿⣷⡌⠻⣿⣿⣿⣿⣿⣿⠟⢀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠙⠳⣤⣀⣀⠀⠀⠀⠀⠀⢀⣀⣠⣴⣶⠾⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠻⢿⣦⣈⠛⠛⠛⠋⣀⣤⣿⠟⠛⠿⠿⣶⣤⡀⠀⠀⠀⠀⠀⠀⣈⣭⡿⠿⠿⠛⠛⠋⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⠛⠿⠿⣾⠿⠟⠋⠁⠀⠀⠀⠀⠈⢻⣷⠀⠀⠀⠀⠀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣶⣿⣿⡿⠿⣿⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⠋⠁⠀⠀⠀⠈⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠀⠀⠀⠀⠀⠀⠀⢻⣧⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣻⣷⣶⣦⣄⠀⢠⣶⠿⢿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡿⠀⠀⠀⢸⡀⠀⠀⢠⣾⡟⠁⠀⠀⠙⢷⡟⠀⠀⠀⠈⢻⣧⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⢸⣧⠀⠀⣾⡏⠀⠀⠰⠚⠛⠛⢿⣆⠀⠐⠋⠉⢻⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⣿⡆⠀⣿⡇⠀⠀⠀⠀⣠⣤⣼⣿⣦⠀⠀⠴⠶⣿⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠿⠇⠀⠀⠀⠀⢸⣧⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⣿⣆⠀⠀⠀⠘⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣯⠀⢀⡀⠀⠀⠀⢸⣿⠀⢻⣿⡀⠀⠀⠀⠀⠀⠀⠀⠹⣿⡄⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⠁⠸⣇⣠⣾⣯⣀⣘⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⢹⣧⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠙⠻⠿⠟⠛⠁⠈⠉⠙⠛⠃⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢸⡏⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣤⠶⠶⢶⣶⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⢀⣿⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠐⣶⣴⣾⠟⠉⠀⠀⠀⢸⣿⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣷⡶⠶⠿⠟⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠿⠿⠷⠶⠶⠿⠿⠿⠛⠛⠛⠻⠿⠿⠿⠿⢿⡿⠿⠿⠿⠶⠾⣿⣿⡿⠿⠿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡿⢸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣠⡾⢿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⡤⢤⣄⣀⡟⠉⠀⣸⣄⣠⣤⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠛⠉⠀⠀⠀⠈⣹⣇⣀⣴⠿⣏⠁⠀⠀⠈⠙⢶⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋⠀⠀⠀⠀⠀⠀⠀⣿⠉⠉⠁⠀⣿⠀⠀⠀⠀⠀⠀⠹⣆⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠀⠻⢶⣤⣤⡴⠟⠀⠀⠀⠀⠀⠀⠀⢹⡄⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀ ⠀⠀⠀⠀⢠⡴⠾⢷⡄⠀⠀⠀⠀⢠⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡟⢦⡀⠀ ⠀⠀⠀⢠⡏⠀⠀⣸⡿⠀⣀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⢻⠀ ⠀⠀⠀⠈⣧⠀⠘⠋⠁⠀⣿⠀⠀⣾⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣆⡀⠀⠀⢀⣼⠁ ⠀⠀⠀⠀⠘⠳⣤⣤⣤⡾⠻⢷⣤⣿⡼⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡿⠉⠛⠷⣶⡛⠁⠀ ⠀⠀⠀⠀⠀⢰⠏⢠⡿⠀⠀⠀⠈⠉⠁⠈⠻⣦⣄⣀⠀⠀⢀⣀⣤⡶⠟⠁⠀⠀⠀⢹⡀⠀⠀ ⠀⠀⠀⠀⠀⣸⠀⢸⡇⠀⠀⠀⢀⣀⡀⠀⠀⠀⠉⠙⠛⠛⠛⠉⠁⠀⠀⠀⢀⣀⠀⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⠸⣆⢸⡇⠀⠀⢰⠻⢶⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⢳⣎⡆⢸⡇⠀⠀ ⠀⠀⠀⠀⠀⢰⠋⠸⣧⠀⠀⢯⢷⣾⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣸⣾⡇⢸⠃⠀⠀ ⠀⠀⠀⠀⠀⢺⣶⠷⢿⡄⠀⠈⠓⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠚⢡⡟⠀⠀⠀ ⠀⠀⠀⠀⢰⠏⠁⡀⠈⢻⣦⡀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⣤⠀⠀⠀⢀⣴⠟⠀⠀⠀⠀ ⠀⠀⠀⠀⢿⡄⠀⠙⠳⠟⢉⣿⠷⣦⣤⣀⣸⣧⡀⠀⠀⠀⢀⣠⣿⣤⣴⡞⠋⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⢹⣶⣤⣤⣴⣿⠃⠀⠀⠈⠉⠉⠛⠛⠛⠛⠛⠛⠛⠉⠁⠀⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠘⣇⢿⠀⢸⡏⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢿⢸⡇⣼⡇⠀⢠⡀⠀⣠⡾⠛⠛⢿⣆⠀⠀⠀⠀⠀⠀⠸⡇⠀⠀⠀⠀⠀⠀ ⠀⣠⠶⣛⣟⣓⣾⣿⡇⢸⣇⠀⣾⠁⣴⠏⠀⠀⠀⠀⢻⡆⠀⠀⠀⠀⠀⢠⡇⠀⠀⠀⠀⠀⠀ ⢰⡏⠸⣯⣉⣽⡿⣸⡇⣾⠛⠀⣿⠀⠀⠀⠀⠀⠀⠀⠈⣿⠀⠀⠀⠀⢰⣾⠁⠀⠀⠀⠀⠀⠀ ⠸⣇⠀⠈⠉⣁⣴⠟⣰⡏⠀⠀⢹⣇⢠⡟⠀⠀⠀⠀⠀⢹⡇⠀⠀⠀⢸⣿⡀⠀⠀⠀⠀⠀⠀ ⠀⠙⠻⢿⣿⣭⡴⠾⡿⠀⠀⠀⠀⠻⢾⡇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⢸⡏⣇⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⣼⡇⠀⠀⠀⠀⢀⣼⠇⠀⠀⠀⣼⡇⢻⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡟⠀⠀⠀⠀⠀⢠⡏⠻⣄⣀⣤⠴⡿⠋⠀⠀⠀⠀⣿⠁⢸⡆⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠻⣤⣄⣀⣤⠴⠞⠀⠀⠀⠀⠀⢰⡇⠀⠀⠀⠀⠀⢿⠶⠞⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⢸⡄⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⡶⠦⠤⠤⠶⠛⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣤⣄⡀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠋⠀⠘⣇⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠇⠀⠀⠀⠀⢸⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡎⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⠀⢀⣀⣀⣀⠀⠀⠀⠀⠀⢀⣀⣤⡤⠤⠤⠤⠤⢤⣤⣀⡤⢖⡿⠛⠉⢳⠀⠀⠀⠀⠀⢸⠀⠀⠀ ⠀⢼⠁⠉⠉⠛⠻⢭⡓⠒⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣏⠀⠀⠀⢸⠀⠀⠀⠀⠀⡤⠀⠀⠀ ⠀⠸⡄⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠂⠀⠀⡜⠀⠀⠀⠀⢀⡇⠀⠀⠀ ⠀⠀⢷⠀⠀⠀⠠⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢣⢠⠏⠀⠀⠀⠀⢸⠃⠀⠀⠀ ⠀⠀⠈⢧⠀⢀⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠈⢳⡈⠁⠀⠀⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⣶⣶⣦⠀⠀⢹⠀⠀⠀⠀⠀⡎⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⢠⣾⣟⣹⡄⠀⠀⠀⠀⡀⠀⣿⣿⣿⡇⠀⢈⣧⠤⠤⠶⠶⢷⠒⠒⠂⠀ ⠀⠀⢀⣀⣠⡧⠄⠀⠀⠀⣾⣿⣿⣿⠇⠀⠀⠀⠙⠁⠀⠙⠻⠿⠃⠀⠨⣼⣤⣀⡀⠀⠈⢧⠀⠀⠀ ⠘⠉⠁⠀⢸⣤⡤⠀⠀⠀⠛⢿⡿⠋⠀⠀⠀⠀⠴⠦⠀⠀⠀⠀⠀⠐⣲⣯⡀⠀⠈⠙⠓⠺⣧⣄⡀ ⠀⣀⡤⠚⠉⢳⡴⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠈⠓⢦⡀⠀⠀⢸⠀⠈ ⠀⠁⠀⢀⡔⠉⠙⡶⢄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠴⠚⠁⠀⠀⠀⠀⠀⠀⠈⠓⠆⠀⡇⠀ ⠀⠀⠰⠋⠀⠀⢸⡇⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀ ⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠹⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠄⠀⢰⠇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⠶⠺⣇⠀⣀⡜⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢱⡄⠀⠀⠀⠹⡟⠒⢢⡀⠀⠀⠀⠀⢀⡏⠀⠀⠀⠈⠉⠉⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣄⠀⠀⢀⡇⠀⠀⠻⣄⠀⠀⠀⡸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢷⠶⠋⠀⠀⠀⠀⠈⣣⠶⠖⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⣿⣿⣿⣳⣿⣟⣾⣿⣻⣯⣿⣿⣽⡿⣟⣯⣿⢿⣻⣾⢿⣽⣷⣿⣻⣽⡿⣷⡿⣯⣿⢿⣾⣟⣾⡿⣷⡿⣯⣿⣾⢿⣽⡿⣷⣿⣿⠃⠀⠀⣼⣿⣿⣟⣿⣟⣿⣽⡿⣿⣾⣿⠃⠀⠀⠹⣿⣿⡿⣟⣿⣽⣾⡿⣿⣽⣾⣿⣧⣄⡀⠉⠠⠄⣛⣿⠷⣿⣟⠋⠉⠉⠛⠻⣷⡄ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⡿⣷⡿⣟⣾⣿⣳⣿⣻⣷⢿⣯⣿⢿⣻⣽⡿⣿⣽⣿⣻⣾⢿⣽⣟⣿⡿⣽⣿⢯⣿⣿⣾⣟⣿⣿⣽⣿⣻⣾⡿⣿⣿⣿⡿⠁⠀⠀⠀⣿⣿⣟⣯⣿⣻⣯⣿⢿⣿⣿⠃⠀⠀⠀⠀⠘⢿⣿⣿⣯⣿⣷⣿⣟⣿⣾⣟⣿⣿⣿⣿⣿⣿⣿⣿⣵⣾⢿⣦⠀⠀⠀⢢⢻⣿ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⡿⣟⣿⢿⣟⣯⣷⣿⣻⣽⣯⣿⣯⣿⢿⣻⣯⣿⢿⣽⣾⢿⣽⡿⣯⣿⣯⣿⣿⣽⡿⣟⣾⣯⣿⣟⣾⣿⣽⡿⣷⣿⣿⣿⠟⠀⠀⠀⠀⠀⣿⣿⣿⡿⣽⣿⣽⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠙⣿⣿⣷⢿⣾⣿⣿⣿⣿⣿⡿⣟⣿⣻⣿⣿⣿⣿⣤⣤⡿⠃⠀⢀⢦⣿⠏ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣿⣿⢿⣿⣻⣿⣻⣿⣽⣾⣟⣯⣿⢷⣿⣽⡿⣿⣽⣿⣻⣯⣿⢿⣯⣿⢿⣷⣿⣻⣾⣟⣿⡿⣯⣿⡷⣿⣻⣾⢿⣽⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⣿⣿⣿⣽⣿⢾⣿⣾⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⣿⣿⣿⣿⣿⣻⣽⣾⣿⢿⣟⣿⡷⣿⣿⣿⣍⣉⣁⣐⣦⣼⡿⠋⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣻⣟⣿⣽⣿⣳⣿⢷⣿⣻⣽⣿⣻⣾⢿⣟⣷⣿⣻⣽⣾⡿⣯⣿⢿⣻⣾⣟⣯⣿⣯⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣽⣾⣿⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠙⠿⣿⣷⣿⣟⣷⣿⡿⣿⣯⣿⢿⣽⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣿⣿⣻⣽⡿⣯⣿⣾⢿⣽⡿⣯⣿⣟⣾⣿⣽⣿⣻⣿⢾⣟⣯⣷⣿⣟⣿⡿⣿⣽⣿⣿⣿⣿⣿⢿⡿⣟⣿⣽⣿⣿⠟⠉⠻⣷⣄⠀⠀⠀⠀⠀⠀⣿⣿⣯⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠟⠁⠀⠀⠀⠈⠙⢿⣿⣟⣾⣿⢿⣽⣾⣿⢿⣾⢿⣽⣟⣿⣿⣿⣧⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣿⣿⣿⣟⣯⣿⡿⣷⣿⡿⣯⣿⢿⣷⣿⣻⣾⣯⣷⣿⣻⣿⣻⣿⣽⣾⡿⣯⣿⣿⣿⣿⣟⣯⣷⣿⡿⣿⣿⣿⣿⠟⠁⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠀⢻⣿⣿⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠉⠻⣿⣿⣿⣯⣿⣾⣿⣻⣿⣟⣯⣿⣾⢿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣟⣯⣿⣷⣿⢿⣷⣿⢿⣻⣿⢿⣾⢿⣷⣿⣻⣾⡿⣽⣿⣳⣿⣯⣿⣟⣿⣿⡿⣯⣿⣟⣿⣾⣿⣿⠿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣄⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⢻⣿⣿⡾⣿⣽⣷⣿⣻⣽⣾⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⣿⣻⣿⣳⣿⣾⡿⣟⣾⣿⣟⣯⣿⣿⣻⣿⢾⣟⣷⣿⣿⣽⡿⣷⡿⣯⣿⣿⣿⡿⣟⣷⣿⣿⡿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣷⣤⡀⠀⠀⠀⠀⠀⠀⠀⣤⡄⠀⠀⠀⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⣀⠀⠀⠀⢘⣿⣿⢿⣻⣽⣿⣾⣿⣻⣽⣿⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⢿⣽⡿⣯⣷⣿⡿⣿⣽⣿⣻⣷⣿⣻⣽⣿⣻⣯⣷⣿⢯⣿⣟⣿⣟⣿⣿⣿⣿⡿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢿⣤⠄⠀⠀⣿⡷⠶⣿⡇⠀⠀⠀⢻⣀⣀⣠⣤⣴⣶⣶⣿⣿⣿⣿⣿⠟⠛⠛⠻⢶⣬⣿⣿⡿⣟⣿⣿⣿⣽⣟⣿⣾⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⢿⣻⣽⣿⣯⣷⣿⣟⣿⣾⣟⣷⣿⣻⣿⣿⣿⣻⣽⣾⣿⡿⣽⣿⡿⠿⠟⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣤⣤⣤⣤⣤⣦⣴⣶⣶⣤⣦⣤⣌⣹⣷⣄⣰⣿⠀⠘⠛⠀⠀⣤⡿⠟⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣦⣄⣀⣀⣀⣹⣿⣿⣿⢿⣿⣿⣿⢯⣿⢿⣾⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣻⣷⣿⣻⣾⣿⣿⣾⣿⣿⣾⣿⣽⣿⣿⣟⣯⣷⡿⣿⣿⣿⡇⠀⠀⠀⢀⣀⣤⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠉⣁⣠⣬⣽⣿⣿⠿⠿⠟⠛⠿⠋⠀⠀⠀⠀⢾⣿⡿⠿⠿⠿⠟⠛⠛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⠉⠉⠉⢹⣿⣿⣿⣻⣿⣿⢿⣻⣿⣻⣿⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣾⣟⣿⡷⣿⢿⣿⡟⠋⠁⠀⠀⠀⠈⠹⣿⣿⣿⣿⢯⣿⣿⣽⣿⣷⡴⠾⠟⠛⠛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣟⣿⣿⣿⡿⣿⣽⣿⣿⠀⠀ ⠀⠀⠀⠀⣰⣶⡶⣶⣄⠀⠀⠀⣀⣤⣤⣾⣿⣿⣿⣾⡿⣯⣿⢿⣿⣿⠀⠀⢀⣠⣴⠶⠶⠶⣾⣿⣿⡿⣿⣿⢾⣿⣿⣿⣤⣴⣶⠾⠿⠿⠛⠛⠛⠛⠛⠛⠉⠉⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣻⣿⣿⣽⣿⣳⣿⡿⠀⠀ ⠀⠀⠀⢠⣿⠃⠀⣸⣿⣶⣶⣾⠿⠿⣿⣾⣿⣿⣿⣷⣿⢿⣻⣿⣿⣿⠀⠺⣿⠟⠁⠀⠀⠀⠈⣿⣿⣿⡿⣽⣿⣻⣿⡏⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣟⣿⣿⣿⣯⣷⣿⣿⡗⠀⠀ ⠀⠀⠀⠀⢿⣷⣿⣿⣿⣿⣿⡅⠀⠀⣿⣿⣿⣿⣿⣿⣾⡿⣿⣷⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⢠⣿⣿⣷⣿⢿⣻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⣀⣀⣀⣤⣤⣤⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⡿⣿⣿⣿⣾⣟⣾⣿⡇⠀⠀ ⠀⠀⠀⣠⣿⡿⠿⠛⠉⢻⣿⡟⠀⢀⣿⣿⣿⣧⠻⣿⣿⣟⣿⣾⢿⣾⣿⣿⣷⣶⣶⣴⣶⣾⠟⢻⣿⣿⣯⣿⢿⡷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⠶⠶⠛⠛⠛⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣷⡿⣯⣿⣿⡇⠀⠀ ⠀⠀⣼⣿⠋⠀⠀⠀⢠⣿⠿⣷⣀⣼⣿⠁⢿⣿⣶⣿⣿⣿⣯⣿⣟⣯⣿⣿⣿⡿⠟⠉⠀⠀⠀⠀⣿⣿⣿⣽⡿⣟⣿⡇⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠞⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣦⡀⠀⠀⠀⠀⠀⠛⣧⠀⠀⢀⣠⣴⣿⣿⣿⣟⣿⣿⣷⣿⢿⣽⣿⡇⠀⠀ ⠀⣼⣿⠃⠀⠀⠀⢀⣿⣟⠀⠙⠛⣛⣿⣄⣼⣿⣿⣿⣿⣿⣿⡷⣿⣻⣿⡿⠋⠀⠀⠀⠀⠀⠀⠀⢻⣿⣿⣯⣿⣿⣿⣇⣠⣤⣤⣴⡿⠋⠀⠀⠀⠀⠀⠀⣠⡴⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⢻⣦⣾⣿⠛⠋⠀⣿⣿⣿⣿⣿⣟⣾⣿⢿⣿⡇⠀⠀ ⢰⣿⡿⠀⠀⢀⣾⣿⠏⠙⠿⣶⣿⣿⣿⣿⣿⣿⠟⠁⡘⣿⣿⣿⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣳⣿⣿⡏⠉⠁⢈⣿⠁⠀⠀⠀⠀⠀⣴⠞⠉⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣤⣤⣴⣶⠶⠾⠿⠿⠿⠿⠷⠶⣶⣦⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣧⡀⠀⠀⠀⣼⣿⣿⣿⣷⡄⠀⣿⣿⣿⣿⣿⣻⣯⣿⢿⣿⡇⠀⠀ ⠈⢿⣿⣶⢶⡿⠛⠁⢀⣤⣶⣿⣿⢿⣿⣿⠟⠁⠀⠄⠀⠸⣿⣿⡿⠃⠀⠀⠀⠀⠀⢀⣠⣶⣶⣾⣿⣿⣿⣿⣻⣽⣿⡇⠀⠀⠸⣿⡄⠀⠀⠀⠠⠞⠁⠀⠀⠀⣀⣤⣤⣴⣶⠾⠿⠛⠋⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠛⠿⢶⣦⣄⡀⠀⠀⠀⠀⠈⠁⠀⠀⣴⣿⣿⣯⣿⣻⣿⡄⢸⣿⣿⣿⣿⢿⣽⡿⣿⣿⡇⠀⠀ ⠀⢸⣿⡀⠀⣠⣴⣾⣿⣿⡿⠋⠁⠈⢉⠀⠀⠀⠂⠠⠀⠐⣠⣿⠇⠀⠀⠀⢀⣤⣾⣿⣿⣿⡿⣿⣟⣿⣿⣿⣿⣽⣿⡇⠀⠀⠀⠙⢿⣦⣤⣄⣀⣤⣤⣴⣶⡿⠟⠛⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠿⣦⣤⣤⣤⣤⣤⣴⡾⣿⣿⣿⢯⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣯⣿⢿⣿⡇⠀⠀ ⠀⠀⢿⣷⣾⣿⣿⠿⠛⠉⠀⠄⠂⡈⠀⠌⡀⠁⠊⠀⠄⠈⣽⣿⠀⠀⣠⣶⠿⣿⣿⣿⣿⣽⡿⣟⣿⣻⣿⣿⣿⣾⣿⡇⠀⠀⠀⠀⠀⠈⠉⠛⠛⠛⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠉⠁⠀⣾⣿⡿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣽⣿⣿⡇⠀⠀ ⠀⠀⠀⠻⣿⣭⡀⠀⠠⢀⠉⠠⠁⠠⠁⠄⠠⠁⠀⠁⡀⠀⣿⣇⣀⣠⣿⣃⠀⠀⠈⠉⠛⢿⣿⣿⣟⣿⠏⢹⣿⣷⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣟⣿⣽⣿⢿⣿⣿⣿⣿⣷⢿⣿⣻⣾⣿⡇⠀⠀ ⠀⠀⠀⠀⠈⠻⣷⣾⣤⣀⣀⠀⠄⡁⠂⠈⠀⠁⠈⠀⣴⣿⣿⣿⣿⣯⣿⡇⠀⢂⠐⡀⠀⠂⠉⠻⣿⣿⠄⠀⠻⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣿⣷⡿⣟⣿⣾⣿⣻⣿⣿⣿⣯⣿⢿⣽⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠙⠛⠛⠿⣷⣦⡴⢀⠂⠀⠄⠁⠻⠟⠋⠼⠿⠛⠁⠀⠠⢀⠂⠄⡁⠂⠀⡐⠹⣿⣆⠀⠀⠙⠿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⣿⣿⣽⣿⣟⣷⣿⢯⣿⣟⣯⣿⣽⣿⣯⣿⣿⡇⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣾⣢⣄⠀⢀⠀⠠⢀⢀⠀⡀⢠⠈⡐⠀⠌⠀⡐⠀⡁⢀⠀⢼⣻⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣿⣿⣿⣻⣾⢿⣻⣾⣿⣯⣿⢿⣽⡿⣾⣿⣿⡟⠁⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡻⣷⡝⠂⠠⠈⠄⠂⠄⢂⠐⡀⠄⡐⠈⠄⡁⠄⠐⡀⠄⠀⢢⠹⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣠⣤⣤⣴⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣽⡿⣟⣯⣷⣿⣯⣿⣟⣿⣿⣿⣿⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⡼⠠⠁⡈⠐⡈⠄⡐⠀⠂⢀⠂⠄⠐⠀⠐⠠⠈⡀⠀⠘⢿⣿⣄⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣠⣤⣤⣶⣶⣶⣶⣿⣿⣿⣿⣿⣿⣿⣿⡿⠿⠛⠛⠉⠉⠀⠀⣾⣿⣿⣯⣿⣿⣟⣯⣷⡿⣿⢿⣿⣿⣿⣾⣟⣯⣿⣾⣿⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣯⠁⢀⠠⠁⠄⡐⢀⠀⠁⢀⠀⠄⠂⠀⠂⢀⠁⢀⠀⠂⠨⣿⡛⢶⣿⣿⣶⣦⣤⣤⣤⣤⣤⣤⣀⣀⣀⣀⣠⣤⣤⣤⣤⣶⣶⣾⣿⣿⣿⣿⣿⢿⡿⣿⣻⣿⢿⣻⣯⣿⣽⡿⣿⣿⣷⡀⠀⠀⠀⠀⠀⢠⣿⣿⣷⣿⣿⡿⣿⣿⣿⣻⣿⣿⣿⠛⣿⣿⣾⣟⣿⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠠⡐⠈⠄⠐⢀⠀⢂⠀⠠⢀⠆⠀⡐⠀⠈⠠⠀⠐⠀⣿⡇⠀⠀⠀⢠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣟⣿⣟⣿⣽⣾⣿⣟⣿⣟⣿⡿⣟⣯⣷⣿⢿⣿⣿⣿⡇⠀⠀⠀⠀⠀⣸⣿⣿⣾⣿⡟⠀⢹⣿⣿⣿⣿⡿⠃⠀⢸⣿⣿⣾⣿⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡇⡁⠠⠈⠄⡁⠂⠀⠄⠂⢀⠋⠰⠀⠄⡐⠠⠁⠀⡀⠉⣿⣷⠀⠀⢀⣾⣿⣿⣟⣾⢿⣾⣷⡿⣿⣻⣿⣿⣿⣳⣿⡾⣿⣻⣿⣿⣾⣟⣯⣿⣾⣟⣿⣾⣟⣿⢿⣻⣽⡿⣿⣿⠟⢹⣷⠀⠀⠀⠀⠀⣿⡏⠉⠉⠁⠀⠀⠀⢿⣿⣿⡿⠁⠀⠀⠀⢻⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣧⠇⠐⠀⢂⠐⢀⠀⠂⠀⣀⠂⠠⠐⢀⠠⠁⠌⠀⡀⠄⣿⡇⠀⠀⢸⡿⠿⠷⡿⠿⠛⢿⣿⣟⣿⣿⡿⠟⠛⣿⣿⣿⡿⠛⠉⠻⣿⣿⣟⣷⣿⣿⣿⣿⠿⠛⢿⣿⣿⣿⡿⠋⠀⠀⣿⡄⠀⠀⠀⢰⡿⠁⠀⠀⠀⠀⠀⠀⠀⠛⠋⠀⠀⠀⠀⠀⠀⠛⠟⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⣿⠘⠀⢂⠈⠄⠀⢂⣵⣾⡿⠿⣶⣆⠰⡈⠄⠠⠀⢰⣿⠇⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠙⠛⠛⠉⠀⠀⠀⠙⠛⠋⠀⠀⠀⠀⠻⠿⠿⠟⠛⠉⠁⠀⠀⠀⠈⠻⡟⠉⠀⠀⠀⠀⢿⡇⠀⠀⢀⣾⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⣇⠞⠀⠂⠠⢀⣸⡿⠋⠀⠀⢀⠀⡻⣷⡤⠆⡒⢨⣾⡿⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⢸⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣮⡄⠀⠀⣴⣿⠁⠀⠀⠆⠀⠈⢡⣽⣷⠐⢣⢽⣿⣷⣾⣶⣶⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣼⣀⣸⣿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⣿⣔⡈⠠⠘⡿⠆⢀⠠⠀⠄⠂⠀⠉⢑⣨⣿⣿⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠛⠻⠿⠷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣿⣾⠶⠀⠀⠀⠂⠀⠠⠀⠄⠠⢀⣲⣾⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣷⣦⣈⣀⣠⣁⣄⣴⣶⣿⡿⠟⠉⢻⡟⢿⣿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⢻⣿⠿⢟⣿⣿⡄⣥⣜⣿⣇⠀⠈⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢼⣿⣠⣿⠟⠹⣷⣿⣿⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠋⠁⠀⢀⣿⣿⡇⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⡗⠈⠙⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⡛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⢀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣶⣿⣿⣿⣿⣿⣿⣷⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⠀⠀⚝⠀⠀ ⠀⠀⠀⢀⣀⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣷⣦⣀⣀⠀⠀⠀⠀ ⠀⢀⣴⢿⣿⣿⣿⡟⠉⠙⠛⠛⠛⠻⣿⡷⠸⣿⣏⠉⠙⣿⣿⣿⣿⣦⡀⠀ ⢀⣾⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⢸⣿⣷⚝⣿⡿⠀⢸⣿⣿⣿⣿⣿⣷⡄ ⢸⣿⣿⡿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠉⠉⠛⠋⠀⠀⠘⣿⣿⣿⣿⣿⣿⣇ ⠸⣿⣿⣿⣿⣿⣿⡀⠀⢀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣿⣿⣿⣿⣿⣿⡇ ⠀⠹⣿⢿⣿⣿⡿⡄⠀⠘⠇⠀⠀⠠⡄⠀⠀⠺⠀⠀⢠⡿⣿⣿⣿⣿⡿⠃ ⠀⠀⠙⣿⣿⣿⣿⣿⣧⣀⡀⠀⠀⠈⠁⠀⠀⠀⢀⣠⣾⣿⣿⣿⣿⠟⠀⠀ ⠀⚝⠸⣿⣿⣿⣿⣿⣿⣿⣋⠰⢶⣶⣒⣶⣾⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀ ⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣯⡏⠀⠀⣏⣉⣽⠛⠛⢿⣿⣿⣿⣿⣷⠀⠀⠀ ⠀⠀⠀⠸⣿⣿⣿⡏⠉⢉⣁⡇⠀⠀⣹⣀⣹⠀⠀⢸⣿⣿⣿⣿⠏⠀⠀⠀ ⠀⠀⠀⠀⠹⣿⣿⣷⣶⣾⣷⣮⣿⣿⣥⣤⣽⣦⣶⣿⣿⣿⣿⠏⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⠙⠛⠛⠿⠟⠛⠋⠉⠙⠛⠿⠿⠿⠿⠿⠛⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢀⣠⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣤⣾⣿⣿⣷⣶⣤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣾⣿⡿⠛⠛⢿⣿⣦⠀⠀⣐⣤⣤⣶⣴⣦⣤⡀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢰⣶⣿⡟⠁⠀⠀⠉⠛⠿⣿⣷⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⠃⠀⠀⠀⠀⠻⣿⣿⣿⠿⠟⠛⠉⠉⠙⣿⣷⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠛⠋⠉⠉⠉⢉⣿⣿⡅⠀⠀⢠⣤⣤⣤⣹⣿⣇⠀⠀⠀⠀⠀⠀⠸⣿⡇⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⣿⠿⠀⢀⢠⣿⡟⣩⣿⣿⠿⣿⣿⣶⣤⣤⣤⣤⣤⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣿⣧⣠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⡄⠀⠀⠢⠻⣿⣿⡏⠀⠀⠀⠉⢻⣿⡟⠋⠛⠛⢿⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢠⣿⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣷⣾⣤⣤⣾⣾⣿⡅⠀⠀⠀⢠⣼⣿⣷⣆⠀⠀⢈⣻⣿⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡠⣴⣿⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠙⠉⠉⢻⣿⣦⣤⣤⣾⣿⣯⣾⡟⠀⢀⢹⣿⡟⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⢺⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⣿⣏⠋⠉⠁⠀⢀⣴⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢊⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣷⣦⣴⣶⣿⠟⢻⣿⡄⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢸⣿⡇⠀⠀⠀⠀⠀⠀⢀⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⠈⠉⠉⠉⠀⠀⢸⣿⣇⠀⠀⠀⠀⠀ ⣴⣶⣶⣷⣿⣿⣷⣶⣶⣤⣄⣀⠰⠟⠉⠉⠻⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⣿⡄⠀⠀⠀⠀⣠⣤⣼⣿⣷⣤⣤⣤⣄⡀ ⠀⠀⠀⠀⠸⣿⣧⣼⣿⠿⠛⢿⣷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⡶⠶⣶⣄⠀⠀⠀⠀⠀⠀⠿⣿⡿⠀⠀⠀⠀⠀⠉⠉⢩⣿⡿⠉⠉⠉⠙⠁ ⠀⠀⣀⣤⣶⣿⣿⣿⡇⠀⠀⠀⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣮⣬⣼⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣼⣿⡃⠀⠀⠀⠀⠀ ⠀⢀⣾⡿⠋⠉⠙⣿⣧⠀⠀⠀⢹⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢙⣿⣿⠿⢿⣶⡦⠀⠀ ⠀⠘⣿⣧⠀⠀⠀⠀⠙⠀⠀⠀⠈⠿⠿⠿⣿⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⣠⣿⣿⡃⠀⠀⠀⠀⠀⠀ ⠀⠀⠙⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⢀⣠⣄⣈⠙⣿⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢈⣽⣿⡿⣿⣦⣄⡀⠀⠀⠀⠀ ⠀⠀⠀⠈⠙⢿⣿⣶⠀⠀⠀⢀⣴⣿⠟⠛⠻⠁⠈⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣤⣶⣿⡿⠋⠀⠈⠙⠻⠿⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⣽⣿⡏⠀⠀⠀⠸⣿⣇⠀⣀⣠⣤⡄⢸⣿⣿⣶⣶⣦⣤⣤⣤⣤⣤⣤⣤⣤⣴⣶⣿⣿⣿⠟⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠈⣿⣿⡀⠀⠀⠀⠙⠿⣿⠿⠟⠋⢡⣿⡿⠉⢻⣿⣿⣿⣿⣿⣿⠟⠛⣿⣿⣿⣿⣿⣿⣰⣾⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠘⢿⣷⣄⡀⠀⠀⠀⠀⠀⣀⣴⣿⡿⠃⠀⠀⠈⠛⠛⠛⠛⠁⠀⠀⠈⣻⣿⠛⠻⠿⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠙⠿⢿⣷⣶⣶⣶⣿⡿⠟⢻⣿⣧⣀⠀⠀⣰⡚⢶⡀⢠⣠⣶⣿⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠹⣿⣿⠿⣷⣾⣿⣿⡿⠿⢟⣿⡟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⢿⣶⣶⠿⣷⣴⡾⠟⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⣤⣤⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠞⠋⡡⠂⠀⠀⠀⣀⣉⠓⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⣀⡀⠀⡼⠹⠀⠾⠟⢀⡤⠤⢤⡉⠉⠀⠀⢻⡄⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠸⣍⡙⠻⣧⠀⠀⠀⠀⠙⠒⠛⠉⠁⠀⠀⠀⢠⡷⠋⣩⡿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠹⣆⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢀⡞⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⣀⣀⣀⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⠖⠋⠉⠉⠉⠉⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠸⡟⠲⠦⢤⣀⣀⡀⠀⠀⠀⠀ ⢰⠃⠀⠀⠀⠀⠀⠀⢻⡀⠀⠀⢀⡀⠀⠀⠀⠀⠀⠀⢀⡀⠘⠊⢀⡟⠀⠀⠀⠀⠈⠉⠙⠓⢦⡀ ⠸⣆⠀⠀⠀⠀⠀⠀⠀⠙⠶⠤⣬⡙⣶⠤⠤⠤⠤⣴⢋⣥⠴⠶⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷ ⠀⠈⠓⠶⠤⢤⣄⣀⡀⠀⠀⠀⠀⠛⠋⠀⠀⠀⠀⠙⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣀⣠⠴⠋ ⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠓⠶⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⠴⠖⠋⠉⠉⠁⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠓⠦⢤⣤⣤⣤⡤⠴⠒⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜ ⬜⬜⬜⬜🟥🟥🟥🟥🟥⬜⬜⬜⬜⬜ ⬜⬜⬜🟥🟥🟥🟥🟥🟥🟥🟥🟥⬜⬜ ⬜⬜⬜🟫🟫🟫🟧🟧⬛️🟧⬜⬜⬜⬜ ⬜⬜🟫🟧🟫🟧🟧🟧⬛️🟧🟧🟧⬜⬜ ⬜⬜🟫🟧🟫🟫🟧🟧🟧⬛️🟧🟧🟧⬜ ⬜⬜🟫🟫🟧🟧🟧🟧⬛️⬛️⬛️⬛️⬜⬜ ⬜⬜⬜⬜🟧🟧🟧🟧🟧🟧🟧⬜⬜⬜ ⬜⬜⬜🟥🟥🟦🟥🟥🟥🟥⬜⬜⬜⬜ ⬜⬜🟥🟥🟥🟦🟥🟥🟦🟥🟥🟥⬜⬜ ⬜🟥🟥🟥🟥🟦🟦🟦🟦🟥🟥🟥🟥⬜ ⬜🟧🟧🟥🟦🟨🟦🟦🟨🟦🟥🟧🟧⬜ ⬜🟧🟧🟧🟦🟦🟦🟦🟦🟦🟧🟧🟧⬜ ⬜🟧🟧🟦🟦🟦🟦🟦🟦🟦🟦🟧🟧⬜ ⬜⬜⬜🟦🟦🟦⬜⬜🟦🟦🟦⬜⬜⬜ ⬜⬜🟫🟫🟫⬜⬜⬜⬜🟫🟫⬜⬜⬜ ⬜🟫🟫🟫🟫⬜⬜⬜⬜🟫🟫🟫🟫⬜ ⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜⬜
⠠⣶⣿⣿⣷⡶⠀⠀⠀⣀⡴⣖⡦⡀⢀⣤⢤⡤⣀⠀ ⠀⠈⣿⣿⣿⠀⠀⠀⢰⢯⡽⣞⣵⡳⣟⢮⡗⣯⡽⡀ ⠀⠀⣿⣿⣿⠀⠀⠀⠸⣏⣾⢳⡞⣽⢞⡯⣞⣳⣽⠁ ⠀⢀⣿⣿⣿⠀⠀⠀⠀⠈⢺⡳⣏⣟⢾⣹⣳⡝⠂⠀ ⠀⠻⠿⠿⠿⠗⠀⠀⠀⠀⠀⠈⠙⢮⠯⠃⠉⠀⠀⠀ ⠀⠀⠀⢀⡄⣄⡀⢀⣀⣀⡜⠓⣄⠤⢤⣀⠀⠀⠀⠀ ⠀⠀⠀⣾⠀⠀⠉⠉⠉⠩⣉⣀⣼⡒⠊⠁⡃⠀⠀⠀ ⠀⠀⠀⡝⠀⠀⠀⠀⠀⠐⠍⠵⢫⣧⡰⡔⠀⠀⠀⠀ ⠀⠀⣸⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢁⣼⠤⠄⠀⠀ ⠀⠀⠨⣧⠀⠘⠃⠀⠀⡤⠄⠀⠙⠁⠀⣚⠒⠀⠀⠀ ⠀⠀⠠⠚⠹⢤⣀⣀⠀⠀⢀⣀⡤⠜⠉⠂⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀
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⢰⣶⣤⣄⣤⣤⣤⣆⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠈⠉⠉⠍⠉⠉⢉⣭⣥⣶⣄⣀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠰⠀⠀⠀⠀⠀⠀⠀⣘⣤⣴⣶⣶⡄⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣾⣿⡋⠛⠻⢿⣿⣦⣤⣴⣶⣿⣿⣿⣿⣿⣿⣿⣷⣶⣤⣴⣿⡿⠟⠋⠉⣿⣿⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢻⣿⡆⠀⠀⢠⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣄⠀⠀⢠⣿⡟⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣿⣷⡀⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣀⣾⣿⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠁⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠈⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⣿⠟⠛⠛⠻⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠛⢿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⡀⠀⠇⣿⣿⣿⣿⠃⠀⢀⣤⣤⡈⣿⣿⣿⣿⣿⡏⣴⣶⡄⠀⠀⢹⣿⣿⣿⠐⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠠⡶⠶⠶⢿⣿⣿⣿⡄⠀⠈⠻⠿⢃⣿⣿⣿⣿⣿⣧⡙⠛⠃⠀⢀⣼⣿⣿⡿⠛⠉⠛⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣶⣤⣤⣶⣿⣿⣏⠁⢹⣿⣿⣿⣶⣤⣶⣿⣿⣿⡿⠁⠸⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣀⣤⠾⠻⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⡛⠷⣤⣄⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⡼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠛⠉⠰⠀⠀⠀⠐⠈⠀⠀⣴⣶⣶⣆ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢿⣿⣿⣿⣿⣦⣤⣤⣤⣤⣶⣿⣿⣎⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠿⠿⠋
⠀⠀⢀⡶⠶⢦⣄⠀⠀⠀⠀⠀⣴⠟⠛⢧⣠⣶⣿⠻⣆⠀⠀⠀ ⠀⠀⢸⠁⡟⠦⠌⠛⠉⠉⠉⢹⠇⢠⣶⣼⣷⣞⢙⣧⣿⡀⠀⠀ ⠀⠀⢸⣤⠃⠀⠀⠀⠀⠀⠀⣿⠀⠈⢻⡃⠀⢸⡿⡄⠈⣿⠀⠀ ⠀⠀⣼⠁⠀⠀⠀⠀⠀⠀⠀⠘⠷⠖⠛⠛⠛⢿⡗⢋⣴⠏⠀⠀ ⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⢻⡀⢀⣀ ⡶⠾⣷⠆⠀⠀⣤⡀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠐⢺⡟⠉⠉ ⢀⣤⢿⡦⠀⠀⠛⠃⠀⠀⢠⢶⣄⠀⠀⠈⠛⠀⠀⠀⣺⠓⠟⡀ ⠀⠀⣠⡿⣖⡀⣀⣀⡀⠀⠈⠉⠉⠀⠀⣀⣀⣀⠀⣲⣯⣄⠀⠀ ⠀⠀⠁⣴⠟⠉⠁⠀⠉⠛⢦⡀⢀⡴⠛⠉⠁⠈⠙⠻⣄⠀⠁⠀ ⠀⢠⣼⠃⠀⠀⠀⠀⠀⠀⠀⠿⠋⠀⠀⠀⠀⠀⠀⠀⠹⣦⠀⠀ ⠀⠈⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀ ⠀⢠⠿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⠷⠀⠀ ⠀⠀⠘⢻⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡼⠃⠀⠀⠀ ⠀⠀⠀⠀⠈⠻⢦⣄⠀⠀⠀⠀⠀⠀⠀⠀⣠⡴⠛⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠉⠛⠶⣄⡀⢀⣠⠶⠋⠁⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⣠⡖⠒⠒⠶⠦⠔⠒⠛⠛⠲⠶⠤⠖⠒⠛⠓⠶⣦⣤⣤⣤⠤⠶⢶⣤⣄⣤⡤⠤⢤⣤⣀⣤⣤⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⣼⠋⠀⡆⠀⠀⠀⠀⣠⠤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⢻⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣠⠾⠁⠀⠀⣷⠀⠀⠀⣤⠁⠀⠀⠙⠀⣤⠀⠀⢺⡆⠀⢠⡤⠀⠀⠀⢠⣄⠀⠀⣷⠂⠀⢀⠀⠀⠈⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⡾⠋⢀⡼⠛⡆⠘⣆⠀⠀⠘⠳⠄⠊⠁⠀⢹⣦⠴⠚⠓⠒⠾⣇⡀⠀⠀⣀⡿⠤⠒⠻⠦⢤⡿⠉⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⣠⡼⠃⠀⢸⠁⠀⡇⠀⠘⡆⠀⠀⠰⡆⠀⠀⡴⠋⠀⠀⠀⠀⠀⠀⠈⠱⣤⠞⠉⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⡀ ⢠⡟⠀⠀⠀⠸⣷⡼⠃⠀⠀⣿⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⣠⣴⣶⢦⡀⢹⡀⢀⣤⡶⡦⣄⠀⠀⠀⠈⣇⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡴⠻⣿⡿ ⠈⢷⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⢀⠇⢸⣿⣿⣿⣾⡆⠀⠀⠀⢸⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢀⠾⠁⠀ ⠀⠈⢿⡆⠀⠀⠀⢀⣀⠀⠀⠘⡄⠀⠀⠀⠀⠸⣄⣀⣀⡀⠀⠙⠯⠿⠿⠃⣼⠀⠘⠿⠿⠿⠟⠁⠀⢀⣠⣏⠀⠀⠀⡟⠀⠀⠀⠀⠀⠀⢠⡶⡷⢾⠛⣻⣳⡀⠀ ⠀⠀⠀⣇⠀⠀⢠⣋⣹⡄⠀⠀⡇⠀⠀⠀⠀⣟⠁⠀⣌⠉⠳⣄⠀⢀⡠⠚⠉⠳⣄⠀⢀⣀⡤⠴⠚⠋⠁⠈⣷⠀⠀⢳⡀⠀⠀⠀⠀⠀⡟⠑⢤⣬⡏⠁⣼⡽⠀ ⠀⠀⠀⠹⣆⠀⠸⣿⡿⠀⠀⠀⡇⠀⠀⠀⠀⠈⠙⢻⡶⠄⢠⠞⠋⠉⠀⠀⠀⠀⠙⠉⠉⠁⠀⠀⢀⣠⡴⠚⠁⠀⠀⣸⡇⠀⠀⠀⠀⠀⠹⣄⠘⠋⠳⢚⡿⠁⠀ ⠀⠀⠀⠀⠈⡆⠀⠈⠀⣶⠋⢳⣴⡀⠀⠀⠀⠀⠀⠀⣿⣦⣀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠙⠻⢯⣉⠉⠀⠀⠀⠀⠀⢀⡿⠁⠀⠀⠀⠀⠀⠀⣸⠁⡶⠷⠋⠀⠀⠀ ⠀⠀⠀⠀⠀⣇⠀⠀⠀⣿⡀⢸⠋⣧⠀⠀⠀⠀⠀⠀⣿⠈⠙⠛⠻⣾⠒⠒⠒⣶⣶⠒⠒⠛⡟⠛⠃⠀⠀⣀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⣰⠇⡸⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠙⢦⠀⠀⠘⣧⠟⠀⢸⠀⠀⠀⠀⠀⠀⣿⠨⢸⣴⡇⣿⣀⣀⣀⣿⣿⣄⣀⣸⠇⠀⠀⢀⡌⠁⢙⡆⠈⡇⠀⠀⠀⠀⠀⢠⠏⣰⠃⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠈⣧⠀⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⣿⣴⣼⣧⣤⠉⣉⣙⠉⣿⣿⠃⠀⠀⠀⠀⠀⠘⢦⠴⠛⠁⢠⣇⣤⣄⠀⠀⣰⠏⣰⠏⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢹⣧⣄⠀⠛⡇⠈⡇⠀⠀⠀⠀⠀⠻⣍⠉⠙⠻⡟⠛⠻⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⣠⡄⠀⠀⡾⠁⢰⣦⠷⠚⢁⣴⠃⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡞⠁⠈⢧⠈⠀⠀⢱⠀⠀⠀⠀⡀⠀⠉⠳⠶⠤⣤⣤⣤⣬⠿⠏⠀⠀⠀⠀⠀⠀⢠⣵⠏⠀⢸⡇⠀⠸⣿⡖⠋⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠸⡄⠀⠀⠸⠀⠠⣄⠠⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡗⠒⠚⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⢸⣀⣀⣀⣀⡿⠒⠒⠦⡤⠤⠤⠤⠤⣄⣤⠤⠤⠶⠦⣤⣀⣀⣠⣤⡤⠤⠤⢤⣠⠤⠤⠤⠦⣴⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠈⡏⠹⣯⣀⢀⠀⠀⡇⠀⠀⠀⠀⠈⠉⠓⢦⣤⠴⠋⠙⣿⣿⠁⠙⢦⠴⠋⠁⠀⠀⠀⠀⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢹⢀⡿⣿⣿⣿⣿⡟⠚⣿⣯⣭⣭⣽⠿⢿⣯⣿⣭⣾⠋⠻⣿⣭⣭⣽⡿⣯⣭⣭⣿⣽⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⢸⠨⣿⣄⠀⢽⢻⡇⠀⠉⠉⠉⠉⠉⠀⠘⠋⠉⠙⢿⣄⣼⠟⠉⠉⠉⠀⠉⠉⠉⠉⠉⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⣸⠀⠹⣿⢦⣼⣿⣿⡀⠀⠀⣀⣀⣀⣀⣀⢀⣀⣀⣠⣽⣯⣀⣀⣀⣀⣀⣄⣀⣀⣠⣸⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⢻⡄⢸⣟⡛⠛⠛⠛⠛⠛⣿⠉⠉⠉⠉⠉⠉⣿⣏⣉⣛⣛⣹⣿⠏⠉⠉⠉⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⢸⡆⡀⢾⣤⡿⠀⠙⠻⡶⢴⡴⠖⠛⠉⠀⠀⠀⠀⠀⠀⠀⠉⡏⣿⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠘⢿⣧⣸⣆⠀⠀⠀⠀⡇⢸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⣇⣸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡗⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡧⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⢹⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣼⣆⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣾⣷⣄⣠⣀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣷⣶⢿⣷⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣟⣿⣷⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣾⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⠛⠿⣿⣿⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⡀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⣤⢶⣲⢤⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠀⠀⠀⢀⣤⢶⡿⣽⢳⣏⣯⣽⣛⣞⡷⣤⢦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⡭⢉⠛⢽⣳⣻⢞⣻⣼⣳⠾⣝⡾⣽⣹⢯⣛⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⣾⢶⣯⡶⣥⣽⣻⣣⣷⢯⡿⣽⣷⣯⢷⣯⢿⡼⣻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⢻⣭⢿⣿⣽⣳⣯⡷⣯⣛⣿⣿⠿⠿⢿⡿⣞⡋⠷⠛⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢸⣯⢿⣾⡷⣿⣿⣻⡵⣿⣿⠃⠀⠀⣾⣿⡽⣟⣿⣳⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⠈⣿⣿⣿⣿⣽⣿⡇⡏⢰⣶⣤⣿⣿⣿⣽⣾⣽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⣨⣟⣿⣾⡉⠙⠟⠇⠡⠈⡟⣿⣿⣧⡿⣞⣷⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⣟⣾⣿⣷⠂⠈⡀⠀⠀⠐⠙⣡⣿⣿⣻⠿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢿⢾⣿⠋⡿⢿⣦⣟⣿⣢⡴⣿⣿⣿⣵⠿⣛⣙⣦⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⢸⢯⠁⢀⢹⣌⢿⣿⣧⣮⣷⣿⣿⡿⡓⠝⠁⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢠⠂⢸⠈⡽⢮⣳⣷⣯⠿⣽⢏⠌⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠷⠃⠀⠁⠂⣿⣏⡠⠔⠋⡢⡀⠤⠀⠀⢄⢠⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢻⣷⠤⣠⠔⠃⡞⠀⠀⢰⠿⢶⡶⣤⣄⠀⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⠬⠿⠞⣀⠄⠯⣑⠆⡾⡷⢷⡶⣬⡛⠗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠘⡕⠔⠈⡡⠈⠉⡸⠵⢇⡾⠛⠫⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡎⠀⠀⣳⡠⠎⠁⠀⡰⠀⠀⢰⠁⠀⣦⣑⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠀⠀⢹⣦⡀⠀⡰⠀⠀⢠⠃⣀⣤⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣤⣤⡴⣶⣼⠀⠀⢸⣿⣟⡗⠀⠀⣀⣾⡿⣿⣽⡟⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⡠⠄⠚⢿⢮⣗⠿⣶⢻⠀⠀⣸⣿⡿⠁⠀⣰⣾⣻⡽⣷⢯⡿⣽⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⢀⠠⠘⠀⠀⠀⠀⢸⡿⣼⣿⠿⣿⠀⠀⢸⣧⠇⠀⣠⣿⢿⣇⣿⣟⡿⣿⣻⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⢀⠄⠈⠀⠀⠀⠀⠀⠄⠂⠀⠛⠛⢹⡿⣽⠀⠀⣾⠃⣀⣴⢿⣏⡷⣾⣽⣻⢾⡷⣏⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠰⡁⠀⠀⠠⠀⠂⠈⠀⢀⠠⠀⠀⠀⠀⢿⣽⠀⠀⣇⠰⠋⠉⠓⠚⠻⣽⣯⢷⣻⡿⣽⡞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ ⠀⠑⢄⠀⠀⣀⣀⡤⢤⡤⣤⠶⣲⣾⢻⡉⠀⡀⡔⠃⠀⠀⣀⢀⣀⣀⣈⣻⡾⣽⣿⢃⣀⣠⠀⠀⠀⡶⢿⣿⣿⣿⣷⣤⣄⡀⠀⠀ ⠀⠀⠀⠉⠉⠉⠉⠈⠉⠁⠀⠀⠀⠛⠱⠴⡶⠏⢠⠴⠊⠁⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⡄⠀⢸⢰⣾⣿⣿⣿⣿⣿⣿⣦⡀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢎⠀⠀⠀⠀⠀⠀⠐⠀⠈⠀⢀⣀⡄⠤⠠⠔⠒⠻⠁⠒⠚⠊⠛⠛⠻⢿⣿⣿⣿⣿⡇ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠢⠀⠠⠤⠐⠓⠂⠉⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠉⠀
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣤⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠞⠁⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⢰⣀⠀⠤⠤⠤⠤⠤⠀⣀⣀⠀⠀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⠁⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠑⠂⠤⡀⡰⠋⠉⢢⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠃⠀⠀⢀⡤⠒⠊⠉⠁⠀⠀⠈⠉⠒⠢⢄⡀⠀⠀⠘⠁⠀⠀⢸⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡌⠀⠀⡴⠉⠠⣴⡄⠀⠀⠀⠀⠀⠀⠀⣀⠀⠉⢢⠀⠀⠀⠀⠀⡌⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠁⠀⡜⠀⠀⠀⠛⢀⣀⡀⠀⠀⠀⠀⠰⣿⠃⠀⠀⠱⠀⠀⠀⢠⠃⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡆⠀⢰⠁⠀⠀⠀⠀⠸⣿⣿⣶⣶⣦⣶⠀⠀⠀⠀⠀⠀⡇⠀⠀⠸⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠀⠀⢸⡀⠀⠀⠀⠀⠀⠈⠉⠛⠛⠉⠁⠀⠀⠀⠀⠀⠀⡇⠀⢀⡇⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡆⠀⠀⠀⢣⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡸⠁⠀⢸⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⠀⡠⠊⢹⠁⠀⠀⠀⠀⠳⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡜⠁⠀⠀⡆⠀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⠀⠀⡜⠁⠀⡼⣄⠀⠀⠀⠀⠀⠀⠑⠢⠤⣀⣀⣀⣀⣀⣀⣀⠤⠒⠁⠀⠀⠀⢰⠛⠒⢄⡀⠀⠀⠀ ⠀⠀⠀⣀⠴⢻⠁⠀⢰⠃⠈⠑⠦⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠜⠒⠀⠀⠙⢆⠀⠀ ⠀⣠⠞⠁⠀⣸⠈⠉⡝⠀⠀⠀⠀⠈⠑⠢⢤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠎⠀⠀⣀⠀⠀⠀⠀⢣⠀ ⡜⠣⢄⣠⣞⢹⡄⢠⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣉⠒⠒⠒⠒⠒⠒⠒⠒⠒⢊⡇⠀⠀⡴⠓⢦⣀⠀⠀⠈⡆
⠀⠀⠀⠀⠀⢀⣀⣀⣀⡀⠀⠀⠀⠀⠀ ⠀⠀⠀⠀⣴⠋⠉⠉⠉⠛⢷⣦⡀⠀⠀ ⠀⠀⠀⣼⡇⠀⢠⣞⠛⡟⠛⠛⢿⣄⠀ ⠀⣴⠶⣿⠀⠀⢸⣏⠂⠤⠤⠔⠒⣿⠀ ⢰⡇⠀⣿⠸⠀⠀⠛⠷⠶⠶⠶⢿⣧⠀ ⠀⣇⠀⣿⠀⢃⠀⠀⠀⠀⠀⠀⣸⣿⠀ ⠰⣿⠀⣿⠀⠀⠢⠀⠀⠀⠠⠊⢸⣿⠀ ⠀⢿⣤⣿⡇⠀⠀⣤⣤⣤⠤⠀⢸⡟⠀ ⠀⠀⠀⢹⡇⠀⠀⣿⡇⣿⠀⠀⣸⡇⠀ ⠀⠀⢴⣾⣿⠿⢿⣻⣽⣽⣛⣛⢻⣷⡆ ⠀⠀⠀⠈⠉⠉⠐⠒⠒⠚⠋⠉⠉⠁⠀

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