UAE Based
Creative Director
I practice creative fluency ☆ working between
structure and rupture, through formal disobedience,
where multidisciplinary systems hold, and then give way.
UAE Based
Creative Director
I practice creative fluency ☆ working between
structure and rupture, through formal disobedience,
where multidisciplinary systems hold, and then give way.
UAE Based
Creative Director
I practice creative fluency ☆ working between
structure and rupture, through formal disobedience,
where multidisciplinary systems hold, and then give way.
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Art
Art
Branding
Branding
Design
Design
Strategy
Strategy
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About Me
About Me
I am a multidisciplinary designer and creative director with a practice built around creative fluency. Working across branding, packaging, products, experiences, and systems, I approach design as both a strategic and expressive discipline.
My work explores the space between structure and disruption, clarity and complexity, instinct and control. I am less interested in imposing a signature style than in building thoughtful systems that allow ideas to take shape with precision, character, and intent; shaping how ideas are understood, experienced, and remembered.
I am a multidisciplinary designer and creative director with a practice built around creative fluency. Working across branding, packaging, products, experiences, and systems, I approach design as both a strategic and expressive discipline.
My work explores the space between structure and disruption, clarity and complexity, instinct and control. I am less interested in imposing a signature style than in building thoughtful systems that allow ideas to take shape with precision, character, and intent; shaping how ideas are understood, experienced, and remembered.
I am a multidisciplinary designer and creative director with a practice built around creative fluency. Working across branding, packaging, products, experiences, and systems, I approach design as both a strategic and expressive discipline.
My work explores the space between structure and disruption, clarity and complexity, instinct and control. I am less interested in imposing a signature style than in building thoughtful systems that allow ideas to take shape with precision, character, and intent; shaping how ideas are understood, experienced, and remembered.
I am a multidisciplinary designer and creative director with a practice built around creative fluency. Working across branding, packaging, products, experiences, and systems, I approach design as both a strategic and expressive discipline.
My work explores the space between structure and disruption, clarity and complexity, instinct and control. I am less interested in imposing a signature style than in building thoughtful systems that allow ideas to take shape with precision, character, and intent; shaping how ideas are understood, experienced, and remembered.
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My Capabilities
My Capabilities
Complete digital services delivering design, branding, and high-performance web solutions.
Branding
Building visual systems that balance recognition, flexibility, and long-term relevance, allowing brands to communicate with clarity and distinction.
Brand identity
Typography Systems
Design Systems
Identity Systems
Brand Guidelines
Asset Development
Branding
Building visual systems that balance recognition, flexibility, and long-term relevance, allowing brands to communicate with clarity and distinction.
Brand identity
Typography Systems
Design Systems
Identity Systems
Brand Guidelines
Asset Development
Strategy
Every successful outcome begins with a clear foundation. I develop strategic frameworks that define direction, establish meaning, and guide creative decision-making.
Brand Strategy
Brand Naming
Brand Architecture
Business Positioning
Research & Analysis
Cultural Research
Strategy
Every successful outcome begins with a clear foundation. I develop strategic frameworks that define direction, establish meaning, and guide creative decision-making.
Brand Strategy
Brand Naming
Brand Architecture
Business Positioning
Research & Analysis
Cultural Research
Packaging
Translating ideas into tangible experiences through thoughtful packaging, physical touchpoints, and product-focused design solutions.
Packaging Design
Structural Concepts
Print Production
Product Design
Corporate Gifting
Materials & Treatments
Packaging
Translating ideas into tangible experiences through thoughtful packaging, physical touchpoints, and product-focused design solutions.
Packaging Design
Structural Concepts
Print Production
Product Design
Corporate Gifting
Materials & Treatments
Illustration
Creating visual narratives through illustration, image-making, and artistic systems that add depth, distinction, and cultural character.
Editorial Illustration
Visual Storytelling
Artistic Direction
Fine Arts
Concept Art
Mixed Media Artwork
Illustration
Creating visual narratives through illustration, image-making, and artistic systems that add depth, distinction, and cultural character.
Editorial Illustration
Visual Storytelling
Artistic Direction
Fine Arts
Concept Art
Mixed Media Artwork
Direction
Leading concepts, systems, and multidisciplinary outputs from initial thinking through final execution.
Creative Direction
Art Direction
Campaign Concepts
Concept Development
Visual Narratives
Team Leadership
Direction
Leading concepts, systems, and multidisciplinary outputs from initial thinking through final execution.
Creative Direction
Art Direction
Campaign Concepts
Concept Development
Visual Narratives
Team Leadership
Systems
Establishing the strategic, operational, and creative foundations required to manage teams, coordinate stakeholders, and deliver complex projects effectively.
Operations Direction
Stakeholder Management
Production Oversight
Resource Planning
Project Management
Strategic Planning
Systems
Establishing the strategic, operational, and creative foundations required to manage teams, coordinate stakeholders, and deliver complex projects effectively.
Operations Direction
Stakeholder Management
Production Oversight
Resource Planning
Project Management
Strategic Planning
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣦⢀⡀⡠⢤⣤⠤⡤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀☆⣥⣔⡚⠿⣳⡤⣉⠈⠉⠑⠫⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣮⣾⣏⠋⠉⠉⠉⠛⠈⠓⡝⣆⠀⠀⠈⢾⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠎⡺⠛⠉⢻⡆⠀⠀⠀⠀⠀⠀⢸⢸⠀⠀⠀⢰⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⢀⣀⠀⢀⣀⠀⠀⢀⠰⢶⢻⡞⡀⠀⠀⠋⠁⠀⠀⠀⠀⢀⣤⡾⠃⠀⠀⠐⣿⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠘⡄⠀⠀⢰⣷⣿⣉⣐⣏⡙⣧⡰☆⢷⡍⢻⣧⠈☆⠀⠀⠀⢀⠀⡆⡸⠀⡇⠈⠀⠀⠀⠀⣜⣱⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠈⢦⡀⠘⣦⡀⣿⡻⣿⣿⣽⣉⡥⣿⢿⣶⢾⡇⣼⣿⢀⠀⠀⠀⠀⡌⡜⣠⣁⡼⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡣⡀⠀⠀⠀⠩⣳⣬⣽⣟⣿⣿⣿⣷⣽⡇⣿⣺⡟⣰⣿⠿⠛⢻⣿⡦⠤⢄⣜⡽⢓⢼⡓⢄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣌⠲⢄⡀⠀⣿⠛⠙⠻⣿⣿⣯⣿⣿⣣⢿⡿⣱⣿⡮⣿⣷⣾⣿⣄⣤⣾⡯⠓⡻⣆⠈⠢⣡⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠗⣦⢬⣭⣽⣳⣿⣿⣿⣯⣍⣙⢿⣿⣿⣷⣿⣿⣾⣏⣛⠫⢭⣿⠏⠀⣀⠜⣁⢟⣰⡷⡱⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠿⠗⣫⣽⣿⢿⠿⠿⣿⣟⠿⣿⡿⣿⠿⣿⡗⣖⣒⣚⣓⣢⣯⠶⠟⢊⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⡀⠀⠀⢿⠿⢖⡥⣼⢬⣽⡟⡎⠈⢿⣯⡿⣞⡾⣍⣉⡉⢉⣁⣀⣤⡾⠿⢽⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢶⡃☆⠈⠀⠀⠃⣜⣦⢸⠟⠁⢀⢼⣿⣏⡲⢭⣳⣗⡄⠀⠀⢰⡏⠀⠀⠀⢷⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠹⣦⡀⠰⡱⣹⣿⢏⡜⡇⢸⣿⡇⠀⠀⠀⠙⠂☆⠀⡾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢽⠳⣽⠾⣻⠁⢿⣟⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⣰⡿⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠼⠎⠓⠭⢭⣆⠀⣱⣻⠀⠀⠀⢀☆⠀⠀⢀⣼⣿⠟⠉⠉⠻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣟⡿⡇⡇⠀⠀⢠⡿⠇⠀⣠⣟⣟⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⠹⠀⠑⡧⢴⠁⠀⠀⣧⠁⢀⣾⠉⠀⡽⠀⢹⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢟⣆⣠⣤⣤⡿⣦⡰⡄⣿⠀⡸⡃⠀⠀⠀⠀⠀☆⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⠋⢡⡴⢤⡽⡇⠙⢯⣷⠿⣰⡷⡷☆⠀⠀⠀⠀⠀⢠⡞⠋⠙⠫⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠰⠉⠀⠀⢸⣇⠀⠀☆⣿⣿⡇⣀⣤⣄⠀⠀⠀⠀⠈⠀⠀⠀⠀⠘⡞⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⡆⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠈⠻⢟⣄⣀⡷⠈⢧⠈⣹⠁⠘⠁⢀⣀⠀☆⠀⠀⠀⠀⠀⢻⢻⠐⠒⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛☆⠀⠀⠀⠀⠀⠀⠉⠉⢰⠄⠂⠳⡍⢇⠀⠀⠀⠘⡧⠀⣀⡀⠀⠀⠀⣹⡻⠀⠀⠀⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢸⠀⠀⠀⠙⣎⠓⡤⣤⡾⠇⠘⠉⣻⡆⠀⠀⣇⣳⢦⡀⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋☆⠀⠀⣿⠀⠀⠀⠀⢹⣧⡙⡮⣅⣀⣀⣴⡷⠃⠀⡼⡹☆⠑⣿⣷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠿⢷⢦⠀⣼⡇⠀⠀⠸⡧⢿⣼⡂⠀⠀⠈⣿⠘⡌⢱⣲⢇⠈⣀⢀⡰⣳⠥⣴⠮⣿⣏⢠⡄⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢸⢿⠀⢻⣇⠀⠀⠚⣷⣿⣾⠛⢰⣘⡄⢿⠣⡙⠜⣆⣾⣿⣋⣁⣻⡙⣷⡀⡾⢷⡎⢳⣇⠑⡄⠀⠀⠀⠀⢀⠞⡧⢠⠄☆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀☆⢠⢯⡎⠀⠹⠿⢷⣒⡾⠓⣿⢊⠱⣄⠙⠙⢦⡀⠳⣄⢿⡟⣿⣿⡻⣋⡥⣿⢿⣶⢾⡇⣼⣿⠀☆⠀⠀⢀⠒⣜⠰⠁⡜⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠻⡿⢻⣟⣁⣀⣀⠠⣻⠟⠲⠀⣿⢪⠢⡈⠳⠄⠀⢹☆⣮⣿⣽⣿⣷⣷⣽⡇⣿⣿⡟⣸⣿⠿⠿⣯⣦⢤⣀⢈⢝⡶⢍⡽⣄⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⣠⠖⠓⠐⠛⢛⣠⡅⢐⣶⡗⣿⣯⣗⣌⠓⠤⣁⣿⡉⠉⣙⣿⣿⣿⣿⣿⣣⣿⡟⣴⢟⡶⣿⣶⣿⣿⣀⡤⣾⡻⠵⣧⠉⢢⠳⡸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣽⣟⢀⡄⠀⢠⡟⠙⠻⡯⢏⣾⣛⣷⠹⣽⡝⠳⠴⢮⣽⣿⣿⣶⣶⣮⣝⡿⣿☆⣿⣿⣿⣿⣟⡛⠿⣻⣿⠉⠁⣠⠎⣽⢇⣤⡜⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠈⠉⠁⠀⠸⢷⣴⠏⠁⠿⠀⣿⠘⠃⠘⠳⣤⣶⣿⠟⠛⢫⣵⣾⠿⡻⠟⢻⣿⡟⢿⣿⣿⣿⢿⡷⣶⣤⠲⠎⣒⣗⣫⣕⠯⡪⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⢀⢲⢦⡴⡼⠢⣿⠴⣇⢦⢴⣖⢿⣷⠄⡄⣸⠿⠛⢪⡺⣰⠋⣿⣿⠉⠙⣿⣟⢷⡳⢭⣀⠛⠋⠉⢉⣀⠴⠊⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⡀⢀☆⠀⠀⣏⠀⠘⢷⣀☆⢠⡟⠁⠀⣯⠀⣙⠿⠅⢉⡎⡀⠿⠃⢻⢀⡽⠋⢀⢤⣿⣿⣑⠭⣳⣷⡎⠉⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛ ⠀⠀⠉⠀⢤⣸⣧⣿⣾⣀⡄⠀⠁⢀⣴⠟⠋⣿⠱⣇⢀☆⠮⠶⠦⢠⢣⢢⣿⢟⣔⡝⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣩⠎⠉⠀⠀⢠⡿⠉⣴⡾⣹⡄⠉⣷⡌⠀⠀⠀⠈⠿⠻⣫⣾⡿⣥⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣿⠀⡀⠀⠀⢸⡇⠀⠿⠆⢹⡇⡜⡟⠀⠀⠀⠀⠀⣰⣶⡟⠁⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡴⠻⣤⣷⠀⠀⠈⣿⡄⠀⠀⠈⢿⢽⣁⣠⣷⣦⣤⣀⣿⡿⡄⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢘⡏⠀⠀⡀⠀⠘⣷⠀☆⠀⢸⢳⠯⠽⠗⠚⠙⠓⠦⢄⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣸⠀⠀⠘⣧⣤⡾⠃⠀⢰⠀⢸⢹⠀⠀⠶⣦⠀⠀⠀⠈⠳⡌⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣏⠨⡧⣄⡤⡿⠃⠀⠀⠀⠀⢻⡈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢠⡾⠿⡦⠀⠀⠀⠀⡆⡜⠓⠈⠁⠀⢳⡀⠀⠀⠈⡇⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠀⠀⠀⠈⠁⠀⣹⢷⡟⠉⢀⣇⣾⡄⠀⠀⠀⣼⠇⠀⠀⠀⡇⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⢀⡀⠀⠀⠈⠙⣾⡅⠀⡼⡼⢸⢡⡤⣤⡾⠋⠀⠀⠀⠀⣧⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠛☆⠀⠀⣄⠻⣵⡼⣱⣡⢏⡟⠀⠀⠀⠀⠀⠀⠀⢸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⡀⠀⠀⠀⠹⡿⢃⣼⢳⠟⠉☆⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⡽⠖⡒⢖⣫⣴⠋⢸⢞⠀⠀⠀⠻⡄⠀⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠵⠒⠉⢥⠙⡀⠃⠾⡾⠟⢾⣦⣀⣠⡾⠁⠀⣀⡴⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⢀☆⠀⣘⡌⡦⢣⠤⠤⢵⡀⠐⡥⠎⠁⠀☆⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣟⡁⠤⣾⡀⢀⡔⢳⣏⣌⣍⡉⢡⡞⢓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣵⠙⣿⣦⠈⣭⢩⡖⢸⣧⠃⡏⢻⣮⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣨⢟⣳⣌⣿⡿⠻⣿⣤⣼⡏⠀⣇⢽⡼⡗⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡤⠰⣫⠝⣿⣿⣷⡜⣿⣵⣿⣿⠿⢝⣃⣜⣵⠟⢁⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢺⣷⣾⣿⣴⣷⡙⢿⣧⢿⣸⣿⣷⣾⠿⢿⡯⠥⣮⡁⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠄⣀⠀⠸⢯⣽⣿⣿⣿⣿⣿⣿⣾⣿⠿⡿⣿⣯⣯⢭⢽⠛⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠤⣀⣀⣉⣙⢿⣿⠿⣿⢟⣛⣭⣿⠟⣿⣷⣅⠀⠩⢿⣿⢸⣥⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣁⣴⣿⣿⣿⣿⡘⣖⣹⠎⢻☆⢰⠏⣿⡈⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠤⠤⠤⢐⣪⡫⣿⡿⠳⠾⠿⠁⡼⡜⠀⠀⣰⣫⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠁⠀⢿⣧⣄⣤⠐⢡⣇⡇⢀⣴⡽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠈⠁⡜⣾⣴⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⢷⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⣒⡭⡶⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠺⠭⣔⣒⣒⣒⣐⣀⣘⡭⠵⠚⢉⣯⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⣩⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⣫⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠕⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⣀⣀⣤⡴⠾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣦⢀⡀⡠⢤⣤⠤⡤⠤⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀☆⣥⣔⡚⠿⣳⡤⣉⠈⠉⠑⠫⣶⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⣮⣾⣏⠋⠉⠉⠉⠛⠈⠓⡝⣆⠀⠀⠈⢾⢧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣷⠎⡺⠛⠉⢻⡆⠀⠀⠀⠀⠀⠀⢸⢸⠀⠀⠀⢰⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⡄⢀⣀⠀⢀⣀⠀⠀⢀⠰⢶⢻⡞⡀⠀⠀⠋⠁⠀⠀⠀⠀⢀⣤⡾⠃⠀⠀⠐⣿⡇⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢆⠀⠘⡄⠀⠀⢰⣷⣿⣉⣐⣏⡙⣧⡰☆⢷⡍⢻⣧⠈☆⠀⠀⠀⢀⠀⡆⡸⠀⡇⠈⠀⠀⠀⠀⣜⣱⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠈⢦⡀⠘⣦⡀⣿⡻⣿⣿⣽⣉⡥⣿⢿⣶⢾⡇⣼⣿⢀⠀⠀⠀⠀⡌⡜⣠⣁⡼⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⡣⡀⠀⠀⠀⠩⣳⣬⣽⣟⣿⣿⣿⣷⣽⡇⣿⣺⡟⣰⣿⠿⠛⢻⣿⡦⠤⢄⣜⡽⢓⢼⡓⢄⠀⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣌⠲⢄⡀⠀⣿⠛⠙⠻⣿⣿⣯⣿⣿⣣⢿⡿⣱⣿⡮⣿⣷⣾⣿⣄⣤⣾⡯⠓⡻⣆⠈⠢⣡⡃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠓⠗⣦⢬⣭⣽⣳⣿⣿⣿⣯⣍⣙⢿⣿⣿⣷⣿⣿⣾⣏⣛⠫⢭⣿⠏⠀⣀⠜⣁⢟⣰⡷⡱⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⣿⠿⠗⣫⣽⣿⢿⠿⠿⣿⣟⠿⣿⡿⣿⠿⣿⡗⣖⣒⣚⣓⣢⣯⠶⠟⢊⠞⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⡀⠀⠀⢿⠿⢖⡥⣼⢬⣽⡟⡎⠈⢿⣯⡿⣞⡾⣍⣉⡉⢉⣁⣀⣤⡾⠿⢽⣳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠻⢶⡃☆⠈⠀⠀⠃⣜⣦⢸⠟⠁⢀⢼⣿⣏⡲⢭⣳⣗⡄⠀⠀⢰⡏⠀⠀⠀⢷⠓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣏⠹⣦⡀⠰⡱⣹⣿⢏⡜⡇⢸⣿⡇⠀⠀⠀⠙⠂☆⠀⡾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠲⢽⠳⣽⠾⣻⠁⢿⣟⣠⠾⠋⠀⠀⠀⠀⠀⠀⠀⣰⡿⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠼⠎⠓⠭⢭⣆⠀⣱⣻⠀⠀⠀⢀☆⠀⠀⢀⣼⣿⠟⠉⠉⠻⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⣟⡿⡇⡇⠀⠀⢠⡿⠇⠀⣠⣟⣟⢿⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣿⠹⠀⠑⡧⢴⠁⠀⠀⣧⠁⢀⣾⠉⠀⡽⠀⢹⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢟⣆⣠⣤⣤⡿⣦⡰⡄⣿⠀⡸⡃⠀⠀⠀⠀⠀☆⠀⠀⠀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⡼⠋⢡⡴⢤⡽⡇⠙⢯⣷⠿⣰⡷⡷☆⠀⠀⠀⠀⠀⢠⡞⠋⠙⠫⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⠋⠀⠰⠉⠀⠀⢸⣇⠀⠀☆⣿⣿⡇⣀⣤⣄⠀⠀⠀⠀⠈⠀⠀⠀⠀⠘⡞⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⡆⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣆⠀⠀⠀⠀⠈⠻⢟⣄⣀⡷⠈⢧⠈⣹⠁⠘⠁⢀⣀⠀☆⠀⠀⠀⠀⠀⢻⢻⠐⠒⢶⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⢿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛☆⠀⠀⠀⠀⠀⠀⠉⠉⢰⠄⠂⠳⡍⢇⠀⠀⠀⠘⡧⠀⣀⡀⠀⠀⠀⣹⡻⠀⠀⠀⡿⡇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⢸⠀⠀⠀⠙⣎⠓⡤⣤⡾⠇⠘⠉⣻⡆⠀⠀⣇⣳⢦⡀⢠⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣴⠋☆⠀⠀⣿⠀⠀⠀⠀⢹⣧⡙⡮⣅⣀⣀⣴⡷⠃⠀⡼⡹☆⠑⣿⣷⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⠿⢷⢦⠀⣼⡇⠀⠀⠸⡧⢿⣼⡂⠀⠀⠈⣿⠘⡌⢱⣲⢇⠈⣀⢀⡰⣳⠥⣴⠮⣿⣏⢠⡄⠀⠀⠀⠀⠀⠀⠀⢀⣿⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⢸⢿⠀⢻⣇⠀⠀⠚⣷⣿⣾⠛⢰⣘⡄⢿⠣⡙⠜⣆⣾⣿⣋⣁⣻⡙⣷⡀⡾⢷⡎⢳⣇⠑⡄⠀⠀⠀⠀⢀⠞⡧⢠⠄☆
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀☆⢠⢯⡎⠀⠹⠿⢷⣒⡾⠓⣿⢊⠱⣄⠙⠙⢦⡀⠳⣄⢿⡟⣿⣿⡻⣋⡥⣿⢿⣶⢾⡇⣼⣿⠀☆⠀⠀⢀⠒⣜⠰⠁⡜⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠻⡿⢻⣟⣁⣀⣀⠠⣻⠟⠲⠀⣿⢪⠢⡈⠳⠄⠀⢹☆⣮⣿⣽⣿⣷⣷⣽⡇⣿⣿⡟⣸⣿⠿⠿⣯⣦⢤⣀⢈⢝⡶⢍⡽⣄⠀⢀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡜⣠⠖⠓⠐⠛⢛⣠⡅⢐⣶⡗⣿⣯⣗⣌⠓⠤⣁⣿⡉⠉⣙⣿⣿⣿⣿⣿⣣⣿⡟⣴⢟⡶⣿⣶⣿⣿⣀⡤⣾⡻⠵⣧⠉⢢⠳⡸
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣽⣟⢀⡄⠀⢠⡟⠙⠻⡯⢏⣾⣛⣷⠹⣽⡝⠳⠴⢮⣽⣿⣿⣶⣶⣮⣝⡿⣿☆⣿⣿⣿⣿⣟⡛⠿⣻⣿⠉⠁⣠⠎⣽⢇⣤⡜⣿
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡏⠈⠉⠁⠀⠸⢷⣴⠏⠁⠿⠀⣿⠘⠃⠘⠳⣤⣶⣿⠟⠛⢫⣵⣾⠿⡻⠟⢻⣿⡟⢿⣿⣿⣿⢿⡷⣶⣤⠲⠎⣒⣗⣫⣕⠯⡪⠋
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⢀⢲⢦⡴⡼⠢⣿⠴⣇⢦⢴⣖⢿⣷⠄⡄⣸⠿⠛⢪⡺⣰⠋⣿⣿⠉⠙⣿⣟⢷⡳⢭⣀⠛⠋⠉⢉⣀⠴⠊⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣦⡀⢀☆⠀⠀⣏⠀⠘⢷⣀☆⢠⡟⠁⠀⣯⠀⣙⠿⠅⢉⡎⡀⠿⠃⢻⢀⡽⠋⢀⢤⣿⣿⣑⠭⣳⣷⡎⠉⠁⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛ ⠀⠀⠉⠀⢤⣸⣧⣿⣾⣀⡄⠀⠁⢀⣴⠟⠋⣿⠱⣇⢀☆⠮⠶⠦⢠⢣⢢⣿⢟⣔⡝⠈⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠻⣩⠎⠉⠀⠀⢠⡿⠉⣴⡾⣹⡄⠉⣷⡌⠀⠀⠀⠈⠿⠻⣫⣾⡿⣥⠼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⣿⠀⡀⠀⠀⢸⡇⠀⠿⠆⢹⡇⡜⡟⠀⠀⠀⠀⠀⣰⣶⡟⠁⠀⠘⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⡴⠻⣤⣷⠀⠀⠈⣿⡄⠀⠀⠈⢿⢽⣁⣠⣷⣦⣤⣀⣿⡿⡄⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⢘⡏⠀⠀⡀⠀⠘⣷⠀☆⠀⢸⢳⠯⠽⠗⠚⠙⠓⠦⢄⠙⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣸⠀⠀⠘⣧⣤⡾⠃⠀⢰⠀⢸⢹⠀⠀⠶⣦⠀⠀⠀⠈⠳⡌⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣟⠀⠀⠀⠀⠀⠀⠀⠀⠘⢷⣏⠨⡧⣄⡤⡿⠃⠀⠀⠀⠀⢻⡈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⢠⡾⠿⡦⠀⠀⠀⠀⡆⡜⠓⠈⠁⠀⢳⡀⠀⠀⠈⡇⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠀⠀⠀⠈⠁⠀⣹⢷⡟⠉⢀⣇⣾⡄⠀⠀⠀⣼⠇⠀⠀⠀⡇⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⢀⡀⠀⠀⠈⠙⣾⡅⠀⡼⡼⢸⢡⡤⣤⡾⠋⠀⠀⠀⠀⣧⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠛☆⠀⠀⣄⠻⣵⡼⣱⣡⢏⡟⠀⠀⠀⠀⠀⠀⠀⢸⡿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣷⡀⠀⠀⠀⠹⡿⢃⣼⢳⠟⠉☆⠀⠀⠀⠀⠀⠀⢀⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣳⡽⠖⡒⢖⣫⣴⠋⢸⢞⠀⠀⠀⠻⡄⠀⠀⠀⢠⡾⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣾⠵⠒⠉⢥⠙⡀⠃⠾⡾⠟⢾⣦⣀⣠⡾⠁⠀⣀⡴⠏⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣾⠟⢀☆⠀⣘⡌⡦⢣⠤⠤⢵⡀⠐⡥⠎⠁⠀☆⠚⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡰⣟⡁⠤⣾⡀⢀⡔⢳⣏⣌⣍⡉⢡⡞⢓⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣵⠙⣿⣦⠈⣭⢩⡖⢸⣧⠃⡏⢻⣮⣿⢸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣀⣨⢟⣳⣌⣿⡿⠻⣿⣤⣼⡏⠀⣇⢽⡼⡗⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⡤⠰⣫⠝⣿⣿⣷⡜⣿⣵⣿⣿⠿⢝⣃⣜⣵⠟⢁⣾⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⢺⣷⣾⣿⣴⣷⡙⢿⣧⢿⣸⣿⣷⣾⠿⢿⡯⠥⣮⡁⠿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠄⣀⠀⠸⢯⣽⣿⣿⣿⣿⣿⣿⣾⣿⠿⡿⣿⣯⣯⢭⢽⠛⢿⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠤⣀⣀⣉⣙⢿⣿⠿⣿⢟⣛⣭⣿⠟⣿⣷⣅⠀⠩⢿⣿⢸⣥⢸⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣁⣴⣿⣿⣿⣿⡘⣖⣹⠎⢻☆⢰⠏⣿⡈⠛⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⠤⠤⠤⢐⣪⡫⣿⡿⠳⠾⠿⠁⡼⡜⠀⠀⣰⣫⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠛⠛⠛⠁⠀⢿⣧⣄⣤⠐⢡⣇⡇⢀⣴⡽⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠈⠁⡜⣾⣴⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⢷⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⢦⣄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠤⣒⡭⡶⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠺⠭⣔⣒⣒⣒⣐⣀⣘⡭⠵⠚⢉⣯⡞⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠖⣩⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠴⣫⠟⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣴⡾⠕⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⣀⣀⣤⡴⠾⠛⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
What Clients Say
What Clients Say
Real feedback from clients who trusted the process and experienced meaningful results.
Shamma A.
CEO & Founder, TRIA
“The first glance at the presentation completely exceeded my expectations. Everything clicked immediately, from the positioning and creative direction to the long-term vision for the business. The level of thought, originality, and clarity behind the work made me confident in the direction from day one.”
Shamma A.
CEO & Founder, TRIA
“The first glance at the presentation completely exceeded my expectations. Everything clicked immediately, from the positioning and creative direction to the long-term vision for the business. The level of thought, originality, and clarity behind the work made me confident in the direction from day one.”
Jessica A.
CEO & Co-Founder, Farasha
“The strategy behind Farasha was what immediately sold me. It felt thoughtful, memorable, and genuinely different. Since launch, the response has been incredibly positive, especially toward the packaging and overall brand experience.”
Jessica A.
CEO & Co-Founder, Farasha
“The strategy behind Farasha was what immediately sold me. It felt thoughtful, memorable, and genuinely different. Since launch, the response has been incredibly positive, especially toward the packaging and overall brand experience.”
Mohamed A.
CEO & Co-Founder, Ocu
“What stood out most was how intentional everything felt. Every detail had a reason and connected back to the bigger idea. The result felt innovative, distinctive, and completely different from what’s usually seen in our industry.”
Mohamed A.
CEO & Co-Founder, Ocu
“What stood out most was how intentional everything felt. Every detail had a reason and connected back to the bigger idea. The result felt innovative, distinctive, and completely different from what’s usually seen in our industry.”
Dr. Fatima A.
CEO & Founder, Scrubs & Clogs
“Rebranding an established business is never easy, but this felt like the right evolution from the beginning. The new identity elevated everything while keeping the trust we had built with our customers, and the response has been overwhelmingly positive.”
Dr. Fatima A.
CEO & Founder, Scrubs & Clogs
“Rebranding an established business is never easy, but this felt like the right evolution from the beginning. The new identity elevated everything while keeping the trust we had built with our customers, and the response has been overwhelmingly positive.”
.=====__
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣷⣀⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⡿⣮⣵⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡗⢻⣟⣿⠖⠃⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡟⣿⣒⡹⢿⡯⡷⠒⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⣧⠿⡿⢳⣾⠝⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠂⣿⠅⢸⡻⣰⡀⠀⡄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⠀⠛⠀⠀⢻⣣⡟⠙⡞⠉⠉⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⡾⠀⠀⣘⣿⠙⣦⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣹⡄⠀☆⠀⣏⠩⠔⣇⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠉⢙⣾⣿⣾⠋⢰⠀⣷⡊⠉⢸⢹⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠠⣯⣽⢿⣧⡆⢸⠀⢻⣞⣿⡮⢸⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡿⡧⣀⣏⣿⠻⣻⡡⣼⣺⡏⣛⡿⣵⠇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡿a⡟⡍⣿⡷⣺⢿⣿⢿⢯⣸⣹⡞⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠐⠹⢷b⣾⣟⡿⣶⣿⢒⠁⢸⠃⠀⣯⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢠d⠟⣿⠽⠟⢻⣤⠀⡀⠀⠀⠻⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⢀abdelr⠀⠀⠀ahm⠀⠀⠀an⠀⠀⠀⠀⠀
☆⠳⣤⣀⣀⣄⣼⡿⢯⣍⡉l⡆⠩⠀⠀⠀⣷⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠉⡟⠹⠛⠡⠴⣵r⣿⣿⠗⠀⠀⠦⠀⠈⢹⠉⠁⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠃⠀⠀⢀⣀⣄a⣟⡽⣤⣤⡤⠭⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠸⣨⣶h⠹⣵⡿⢹⠁⣶⠤⠤⠀⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀m⣄⣗⡿⣻⣾⠯⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴a⣿⡃⣿⠿⠁⡐⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿n⠯⢿⣯⢇⠀⢛⠀⠀⢀⡗⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣬⣴⣽⣿⡿⣷⣿⣦⣖⣚⣚⣢⡤⠤⠤⠤⠤⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣴⣻⣯⣿⣿⡻⢹⣿⠋⠫⠀⠀⢹⡏⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⡟⠃⠀⠘⣿⡇⠼⠃⠀⢸⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⢶⡗⠀⠀⠀☆⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠲⢦⣾⣷⠆⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⡇⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⣷⣀⡀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡄⣿⡿⣮⣵⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⡗⢻⣟⣿⠖⠃⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡟⣿⣒⡹⢿⡯⡷⠒⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⣧⠿⡿⢳⣾⠝⡄⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡟⠂⣿⠅⢸⡻⣰⡀⠀⡄⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡧⠀⠛⠀⠀⢻⣣⡟⠙⡞⠉⠉⠈
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡏⠀⡾⠀⠀⣘⣿⠙⣦⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣹⡄⠀☆⠀⣏⠩⠔⣇⡇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠉⢙⣾⣿⣾⠋⢰⠀⣷⡊⠉⢸⢹⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠠⣯⣽⢿⣧⡆⢸⠀⢻⣞⣿⡮⢸⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⡿⡧⣀⣏⣿⠻⣻⡡⣼⣺⡏⣛⡿⣵⠇⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡿a⡟⡍⣿⡷⣺⢿⣿⢿⢯⣸⣹⡞⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠐⠹⢷b⣾⣟⡿⣶⣿⢒⠁⢸⠃⠀⣯⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⢠d⠟⣿⠽⠟⢻⣤⠀⡀⠀⠀⠻⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⢀abdelr⠀⠀⠀ahm⠀⠀⠀an⠀⠀⠀⠀⠀
☆⠳⣤⣀⣀⣄⣼⡿⢯⣍⡉l⡆⠩⠀⠀⠀⣷⠀⠀⢸⠀⠀⡇⠀⠀⠀⠀⠀
⠀⠀⠀⠉⠉⡟⠹⠛⠡⠴⣵r⣿⣿⠗⠀⠀⠦⠀⠈⢹⠉⠁⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠃⠀⠀⢀⣀⣄a⣟⡽⣤⣤⡤⠭⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠸⣨⣶h⠹⣵⡿⢹⠁⣶⠤⠤⠀⡀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀m⣄⣗⡿⣻⣾⠯⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴a⣿⡃⣿⠿⠁⡐⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿n⠯⢿⣯⢇⠀⢛⠀⠀⢀⡗⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣬⣴⣽⣿⡿⣷⣿⣦⣖⣚⣚⣢⡤⠤⠤⠤⠤⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣴⣻⣯⣿⣿⡻⢹⣿⠋⠫⠀⠀⢹⡏⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⡟⠃⠀⠘⣿⡇⠼⠃⠀⢸⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠈⢧⡀⠀⠀⢶⡗⠀⠀⠀☆⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠲⢦⣾⣷⠆⠀⠀⠀⠀⠀⠀⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣯⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠤⢤⣶⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠹⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢐⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
SELECTED CLIENTS & INSTITUTIONS
SELECTED CLIENTS & INSTITUTIONS
Selected Clients & Institutions
SELECTED CLIENTS & INSTITUTIONS
SELECTED CLIENTS & INSTITUTIONS
Awards &
Recognitions
Awards &
Recognitions
Awards &
Recognitions
Indigo Design Awards
★ Gold & Silver Winner
Scrubs & Clogs, Koub, and Dinoflakes
2025
Indigo Design Awards
★ Gold & Silver Winner
Scrubs & Clogs, Koub, and Dinoflakes
2025
The Dieline Awards
★ Featured Submission
Dinosaur Coffee Roastery
2025
The Dieline Awards
★ Featured Submission
Dinosaur Coffee Roastery
2025
Art Dubai
★ Featured Speaker & Exhibiting Artist
GOD HERSELF, and ByBit Talks Series
2022
Art Dubai
★ Featured Speaker & Exhibiting Artist
GOD HERSELF, and ByBit Talks Series
2022
Gulf News 3.0 Conference
★ Featured & Commissioned Installation
Rolls Royce Collaboration
2022
Gulf News 3.0 Conference
★ Featured & Commissioned Installation
Rolls Royce Collaboration
2022
Dubai Design Week
★ Featured Thesis Project
Machinal Misery, Thesis
2022
Dubai Design Week
★ Featured Thesis Project
Machinal Misery, Thesis
2022
Al Muraba Art Festival
★ Featured Digital Arts Exhibition
Various Projects
2021
Al Muraba Art Festival
★ Featured Digital Arts Exhibition
Various Projects
2021
Vitra Design Collaboration
★ Winning Chair Design
Confessional Chair Design
2019
Vitra Design Collaboration
★ Winning Chair Design
Confessional Chair Design
2019
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⣿⣯⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠷⠤⠤⠶⠴⣾⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣠⣸⣿⣿⣥⠀⠀⠀⠀⠀⠀⠩⣄⠀⠀⠀⢀⡀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠☆⠀⠼⣿⣿⠋⠁⠀⠿☆⠀⠀⠀⠀⠀⠀⠉⣠⡀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡿⠀ ⠀⣾⠧☆⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⣤⣾⣿⣦⠴⡶⢛⣿⠇⠙⢷⠀⠀⠀⠀⠀⢰⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠘⢷⣧⡀⣿⡄⠀⠛⠚⠋⠀⢀⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠰⣆⠀⠀⠤☆⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠻⣯⢻⣿⠆⠀⠀⣠⣧⣾a⠀⠀⠀⠀⠈☆⠀⠀⠀⠀⠀⠀⠀⣿⣤⣀⣰⢀⣀⣴⡀⠀⠀⣭⠀⠀⢀☆⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠳⢿⣷⣶⣿⣿⡟b⠀⠀⠀⠀an⠀⠀⠀⠀⠀⢀⣤⠾⠿⠟⠛⠛⠛⠻⣿⣿⣶⣶⣿⡀⠀⠈⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⢿⣿⣿⣇de⠀⠀⠀m⡃⠀⠀⢠⣀⣼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠙⠿⣷⣦⣰⠀⠰⢻⣆⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠈⢿⡟⠿⣦⣝lrah⣷⣄⣴⠟⠋⢿⡀☆⢀⣠⠰⠖⠛⠛⠛☆⠀⠀⠀⠘⠛⠉⣿⣿⣦⣼⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣄⠙⣿⠉⠉⢹⣏⣽⣻⡏⠀⠀⠀⠀⢰⠎⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣴⣿⠟⣯⠁⠀⣴⣤
⠀⠀ ☆⠀⠀⠀⠀⠀⢶⢪⠻⣆⠀⠀⠀⢠⣿⡿⠇⠀⠀⠀⢬⡷⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⠿⠀⢺⣿⠇⣰⣹⠄⠀⠈⠁
⠀⠀⠺⠓⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠈⣿⡁⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠀⠈⠛⢨⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⣿⡏⠁⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣀⣠⡜⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣿⡀⠀⣀⣠⣾⣻⣿⡄⠀⢀⣾⣹⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠏⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣌⢻⣿⣝⣹⠇⠘⣿⠻⠆⠈⠁⠈⠛⢧⣄⠀⠀⠀⢀⡀⣀⡰⠆⠀⠀⠀⠀⠀⢸☆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣿⠈⠁⠀⢸⣿⣧⡀⠀⠀⠀⠀⠀⠈⠁☆⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠘⠃⠩⢷⣤⡴⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠻⣷⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡆⠀⣀⠀⠀⠀⠀⠀⠨⠝⣷⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠀⠙⠁⣤⡀⠀⠀⠀⠀⣸⣟⣻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠈⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠈⢻⠄⢀⣠⣾⣯⣩⣭⣽⣿⣦⠀⠀⠀⠀⠀⠐⣦⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠼⠷⠀⠀⠀⠀⠀⠀⠀⣷⡀⣀⣾⠴⠛⠋⠉⠉⠙⣿⣿⣿⣿⣷⣆⣤⡄⢐⣳⡿⠁⠰⠄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⣤⣤⣶⣾⣿⡯⠉⠁⠀⠀⠀⠀⠀☆⠟⠚⠻⣿⣿⣿⣿⣿⡿⠉⠁⠴⠄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⢦⡟⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢿⣟⡿⠟⠃⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⣠⣿⡟⠛⠙⠺⠷⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠁⠀⠛⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⢹⣿⡟⠁⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀☆⣆⠀⠀⢠⣭⡿a⣦⣀⡀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣶⣄⡀⠀⠀⣠⣿⠥⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠙⠛⠓⠛⢹b⠀⠀⠉⠁☆⡀⣰⠏⠀⠀⠀⠀☆⡀⠀⢙⣿⢿⣿⣛⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠰⢿d⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠘⠿⠿⠛⠓⠚⠽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣿e⠀⠀⠀⠀⠀an⠀⠀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⠻l⣀⠀⠀m⡀⠀⢀⣾⣱⣷⡙⣷⡀⠀⠀⠀⠀⠀⠀⠠⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣆⢨rah⡤⣤⠆⠀⠘⠋⠁⢀⣿⠃⠀⠀⠀⠀⠀⠀☆⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⡀⣀⣠⣴⣾⢷⡿⢿⡶⠶⠽⡟⠛⠶⢶⣤⣶⣿⣿⣷⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠘☆⠉⠀⠀⠀⢹⣧⡟⠀⠀⠀⠀⠀⢠⣤⠀⣹⠟⠉⠉⠁⠁⠙⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀☆⠁⠀⣭⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠠⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢠☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⣿⣯⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠷⠤⠤⠶⠴⣾⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣠⣸⣿⣿⣥⠀⠀⠀⠀⠀⠀⠩⣄⠀⠀⠀⢀⡀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠☆⠀⠼⣿⣿⠋⠁⠀⠿☆⠀⠀⠀⠀⠀⠀⠉⣠⡀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡿⠀ ⠀⣾⠧☆⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⣤⣾⣿⣦⠴⡶⢛⣿⠇⠙⢷⠀⠀⠀⠀⠀⢰⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠘⢷⣧⡀⣿⡄⠀⠛⠚⠋⠀⢀⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠰⣆⠀⠀⠤☆⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠻⣯⢻⣿⠆⠀⠀⣠⣧⣾a⠀⠀⠀⠀⠈☆⠀⠀⠀⠀⠀⠀⠀⣿⣤⣀⣰⢀⣀⣴⡀⠀⠀⣭⠀⠀⢀☆⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠳⢿⣷⣶⣿⣿⡟b⠀⠀⠀⠀an⠀⠀⠀⠀⠀⢀⣤⠾⠿⠟⠛⠛⠛⠻⣿⣿⣶⣶⣿⡀⠀⠈⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⢿⣿⣿⣇de⠀⠀⠀m⡃⠀⠀⢠⣀⣼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠙⠿⣷⣦⣰⠀⠰⢻⣆⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠈⢿⡟⠿⣦⣝lrah⣷⣄⣴⠟⠋⢿⡀☆⢀⣠⠰⠖⠛⠛⠛☆⠀⠀⠀⠘⠛⠉⣿⣿⣦⣼⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣄⠙⣿⠉⠉⢹⣏⣽⣻⡏⠀⠀⠀⠀⢰⠎⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣴⣿⠟⣯⠁⠀⣴⣤
⠀⠀ ☆⠀⠀⠀⠀⠀⢶⢪⠻⣆⠀⠀⠀⢠⣿⡿⠇⠀⠀⠀⢬⡷⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⠿⠀⢺⣿⠇⣰⣹⠄⠀⠈⠁
⠀⠀⠺⠓⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠈⣿⡁⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠀⠈⠛⢨⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⣿⡏⠁⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣀⣠⡜⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣿⡀⠀⣀⣠⣾⣻⣿⡄⠀⢀⣾⣹⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠏⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣌⢻⣿⣝⣹⠇⠘⣿⠻⠆⠈⠁⠈⠛⢧⣄⠀⠀⠀⢀⡀⣀⡰⠆⠀⠀⠀⠀⠀⢸☆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣿⠈⠁⠀⢸⣿⣧⡀⠀⠀⠀⠀⠀⠈⠁☆⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠘⠃⠩⢷⣤⡴⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠻⣷⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡆⠀⣀⠀⠀⠀⠀⠀⠨⠝⣷⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠀⠙⠁⣤⡀⠀⠀⠀⠀⣸⣟⣻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠈⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠈⢻⠄⢀⣠⣾⣯⣩⣭⣽⣿⣦⠀⠀⠀⠀⠀⠐⣦⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠼⠷⠀⠀⠀⠀⠀⠀⠀⣷⡀⣀⣾⠴⠛⠋⠉⠉⠙⣿⣿⣿⣿⣷⣆⣤⡄⢐⣳⡿⠁⠰⠄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⣤⣤⣶⣾⣿⡯⠉⠁⠀⠀⠀⠀⠀☆⠟⠚⠻⣿⣿⣿⣿⣿⡿⠉⠁⠴⠄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⢦⡟⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢿⣟⡿⠟⠃⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⣠⣿⡟⠛⠙⠺⠷⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠁⠀⠛⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⢹⣿⡟⠁⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀☆⣆⠀⠀⢠⣭⡿a⣦⣀⡀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣶⣄⡀⠀⠀⣠⣿⠥⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠙⠛⠓⠛⢹b⠀⠀⠉⠁☆⡀⣰⠏⠀⠀⠀⠀☆⡀⠀⢙⣿⢿⣿⣛⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠰⢿d⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠘⠿⠿⠛⠓⠚⠽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣿e⠀⠀⠀⠀⠀an⠀⠀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⠻l⣀⠀⠀m⡀⠀⢀⣾⣱⣷⡙⣷⡀⠀⠀⠀⠀⠀⠀⠠⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣆⢨rah⡤⣤⠆⠀⠘⠋⠁⢀⣿⠃⠀⠀⠀⠀⠀⠀☆⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⡀⣀⣠⣴⣾⢷⡿⢿⡶⠶⠽⡟⠛⠶⢶⣤⣶⣿⣿⣷⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠘☆⠉⠀⠀⠀⢹⣧⡟⠀⠀⠀⠀⠀⢠⣤⠀⣹⠟⠉⠉⠁⠁⠙⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀☆⠁⠀⣭⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠠⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢠☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡀⠀⠀⣿⣯⠹⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⠷⠤⠤⠶⠴⣾⣃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⢀⣠⣸⣿⣿⣥⠀⠀⠀⠀⠀⠀⠩⣄⠀⠀⠀⢀⡀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣠☆⠀⠼⣿⣿⠋⠁⠀⠿☆⠀⠀⠀⠀⠀⠀⠉⣠⡀⣴⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⡿⠀ ⠀⣾⠧☆⠀⠀⠀⠀⣄⠀⠀⠀⠀⠀⠀⠸⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⣿⣦⣤⣾⣿⣦⠴⡶⢛⣿⠇⠙⢷⠀⠀⠀⠀⠀⢰⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠻⡄⠀⠀⠀⠀⠀⠀⠀⠀
⠘⢷⣧⡀⣿⡄⠀⠛⠚⠋⠀⢀⣾⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⠰⣆⠀⠀⠤☆⠀⠀⣾⠃⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠈⠻⣯⢻⣿⠆⠀⠀⣠⣧⣾a⠀⠀⠀⠀⠈☆⠀⠀⠀⠀⠀⠀⠀⣿⣤⣀⣰⢀⣀⣴⡀⠀⠀⣭⠀⠀⢀☆⠀⠀⠀⠀⠀
⠀⠀⠀⠈⠳⢿⣷⣶⣿⣿⡟b⠀⠀⠀⠀an⠀⠀⠀⠀⠀⢀⣤⠾⠿⠟⠛⠛⠛⠻⣿⣿⣶⣶⣿⡀⠀⠈⠁⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⣿⢿⣿⣿⣇de⠀⠀⠀m⡃⠀⠀⢠⣀⣼⠋⠁⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠙⠿⣷⣦⣰⠀⠰⢻⣆⠀⠀
⠀⠀⠀⠀⠀⠀⠈⠈⢿⡟⠿⣦⣝lrah⣷⣄⣴⠟⠋⢿⡀☆⢀⣠⠰⠖⠛⠛⠛☆⠀⠀⠀⠘⠛⠉⣿⣿⣦⣼⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈⠿⣄⠙⣿⠉⠉⢹⣏⣽⣻⡏⠀⠀⠀⠀⢰⠎⠁⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⣴⣿⠟⣯⠁⠀⣴⣤
⠀⠀ ☆⠀⠀⠀⠀⠀⢶⢪⠻⣆⠀⠀⠀⢠⣿⡿⠇⠀⠀⠀⢬⡷⠀⠀⠀⠀⠀⠀⠀⠀⢸⣯⠿⠀⢺⣿⠇⣰⣹⠄⠀⠈⠁
⠀⠀⠺⠓⠀⠀⠀⠀⠀⠀⠀⠈⠉⠀⠀⠀⠈⣿⡁⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⢿⠀⠈⠛⢨⡇⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⣿⡏⠁⠀⠀⢸⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣧⣀⣠⡜⠁⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⣿⡀⠀⣀⣠⣾⣻⣿⡄⠀⢀⣾⣹⣤⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣿⠏⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣌⢻⣿⣝⣹⠇⠘⣿⠻⠆⠈⠁⠈⠛⢧⣄⠀⠀⠀⢀⡀⣀⡰⠆⠀⠀⠀⠀⠀⢸☆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⣿⠈⠁⠀⢸⣿⣧⡀⠀⠀⠀⠀⠀⠈⠁☆⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠘⠃⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡀⠀⠀⠘⠃⠩⢷⣤⡴⢦⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠇⠀⠀⠀⠀⠀⠀⠻⣷⣶⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡆⠀⣀⠀⠀⠀⠀⠀⠨⠝⣷⢦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣆⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠛⠀⠙⠁⣤⡀⠀⠀⠀⠀⣸⣟⣻⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠈⠉⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠈⢻⠄⢀⣠⣾⣯⣩⣭⣽⣿⣦⠀⠀⠀⠀⠀⠐⣦⡇⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠼⠷⠀⠀⠀⠀⠀⠀⠀⣷⡀⣀⣾⠴⠛⠋⠉⠉⠙⣿⣿⣿⣿⣷⣆⣤⡄⢐⣳⡿⠁⠰⠄⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣄⣤⣤⣶⣾⣿⡯⠉⠁⠀⠀⠀⠀⠀☆⠟⠚⠻⣿⣿⣿⣿⣿⡿⠉⠁⠴⠄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⡿⢦⡟⡿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠿⢿⣟⡿⠟⠃⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⣀⣠⣿⡟⠛⠙⠺⠷⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣷⠁⠀⠛⠀⠙⠃⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠈⢹⣿⡟⠁⠀⠀⠀⠀⠘⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡿⠴⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀☆⣆⠀⠀⢠⣭⡿a⣦⣀⡀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⣶⣄⡀⠀⠀⣠⣿⠥⠛⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠙⠛⠓⠛⢹b⠀⠀⠉⠁☆⡀⣰⠏⠀⠀⠀⠀☆⡀⠀⢙⣿⢿⣿⣛⢽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠰⢿d⠀⠀⠀⠀⠈⠉⠁⠀⠀⠀⠀⠀⠘⠿⠿⠛⠓⠚⠽⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢠⣿e⠀⠀⠀⠀⠀an⠀⠀⣠⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⠻l⣀⠀⠀m⡀⠀⢀⣾⣱⣷⡙⣷⡀⠀⠀⠀⠀⠀⠀⠠⣶⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢸⣿⣆⢨rah⡤⣤⠆⠀⠘⠋⠁⢀⣿⠃⠀⠀⠀⠀⠀⠀☆⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⢀⡀⣀⣠⣴⣾⢷⡿⢿⡶⠶⠽⡟⠛⠶⢶⣤⣶⣿⣿⣷⣶⣦⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠘☆⠉⠀⠀⠀⢹⣧⡟⠀⠀⠀⠀⠀⢠⣤⠀⣹⠟⠉⠉⠁⠁⠙⠙⣷⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⣿⡆⠀⠀⠀⠀⠀☆⠁⠀⣭⠀⠀⠀⠀⠀⠀⠀⢸⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢻⡇⠀⠀⠀⠀⠀⠀⠀⠈⢿⣄⠀⠀⠀⠀⠀⠠⣿⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⣀⠀⠀⠀⢠☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠀⠀⠻⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢸⡆⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⢨⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠈☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
My Principles
My Principles
___________________________________
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| _____________________________|___
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\_/________________________________/.
___________________________________________________
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| _____________________________________________|___
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\_/________________________________________________/.
The ideas that consistently surface throughout my work, regardless of discipline, medium, or outcome; recurring patterns in how I think and work. They describe a practice shaped by tension rather than certainty—balancing instinct with structure, complexity with clarity, and expression with restraint. Together, they form a vocabulary for navigating ambiguity, building systems, and creating work that remains both deliberate and alive.
The ideas that consistently surface throughout my work, regardless of discipline, medium, or outcome; recurring patterns in how I think and work. They describe a practice shaped by tension rather than certainty—balancing instinct with structure, complexity with clarity, and expression with restraint. Together, they form a vocabulary for navigating ambiguity, building systems, and creating work that remains both deliberate and alive.
.
,a,
,abd,
'abdelrahmanabde'
`abdelrahman`
`abdelra`
abde'lrah
abd' 'abd
a' 'a
.
,a,
,abd,
'abdelrahmanabde'
`abdelrahman`
`abdelra`
abde'lrah
abd' 'abd
a' 'a
elrahm
_ bd an
☆..______ .-/\`--...a \
| '\| \_`_-. `. _ \
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\ | __'. |/.`'----./ /| `☆ .''' '-.
: .`☆\ `'\/ |`''--.'/` \ / /
| /| | \ | / | \ / /
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elrahm
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☆..______ .-/\`--...a \
| '\| \_`_-. `. _ \
/ _ .' / /_`\`\ \/ '. \
/ /` / /\_|_\/\ '._| \ :
.' / : \ ☆ | `\ .'__ | | __,'\
\ | __'. |/.`'----./ /| `☆ .''' '-.
: .`☆\ `'\/ |`''--.'/` \ / /
| /| | \ | / | \ / /
' | '.__'____\'_ .'_.' | / |
/ \ ___.-'`\`'-.._ |/ .'
☆-. `--'` ab `. `'-._/__..._ |
`-. __ de \_..,____..' \ /
/ `'-' `---- l .--'''` | ,'.__
/ r-...:____ | .'/ _. ''--☆
,' mha ☆\--'`. |''`,-'-. ,'`
.' .a _\ \ |☆' \ _,'
'-._ n--..._ _,-' '. '-'..__.-'
`. /`-' / |'abd `'.___
\ _ /| | /.' .elrah..'`\
,-'.---'''`/`'./ `. |-. |/ / _\man_`|
/ -''- ,'-. | | \ \ / \ ' |
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| ' ,' | ' ☆ ,' `\ ' \ \
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⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠞⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣘n⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣁⡴⠂⠀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿a⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠄⢉⡖⠂⠄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢠⣾⠟m⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⣄⠀⠠⢀⠀⠁⢀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃h⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠤⠤⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠒⠀⠒⠊⠐⠢⠭⢒⣤⠉⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟a⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⣴⣿⠷r⠀⠀⠀⠀⠀⠀⠀⠤⢀⡀⡠⠄⠀⠀⠀⠀⠴⠆⠰⠄⣀⠀⠀⠈⠑⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣥⣯l⠀⠀⠀⠀⠀⠀⠚⢉⡰⣻⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠼⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣦⣤⣀⣀⠀⠀⠀⣾⣽e⠀⠀⠀⠀⠌⡠⠉⠉⠀⢯⡈⠠⠁⢰⡀⠀⠀⠀⢰⠄⢀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⢀⠉⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢟⣯⣳⠿⠛⢿⣷⣶⣶⣿d⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠁⠀⠢⡸⠆⠀⠀⠀⢸⡷⠀⠀⠀⠀⠀⠀⠈⠳⠀⠀⠀⠀⠀⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠃⠸⠧⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠴⠷⠁⠀⠀⠈☆⣻⣿⢿b⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢸⠧⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⣀⠀⠀⠀⠀⠀⠀⠂⠂⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠟⠂⠀⠀⠀⠀⢀⣌⣧⡱⣻⡽a⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⢠⡠⠒⠀⠀⠀⡖⠀⢽⣿⣾⢅⣼⡟⢶⣷⣄⠄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣾⡇⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⠀⠀☆⠀⠀⠀⠐⠋⠀⠀⠀⡀⠀⠰⣤⣿⣿⣿⣞⡿⠛⠀⢫⡿⠃⠀⠀⠀⠀⠀⠀⠀⣸⠀⠁⠂⠀⣿⣧⠀⠀⠐⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡀⡇☆⣿⢿⣿⣿⣷⠀⠀☆⠁⠀⠀⠀⠀⠁⠀⠀⠀⣿⠀⣶⣰⡀⣿⡇⢾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⡝⢿⠞⢿⣸⣳⣌⡀⠀⠀⠠⠀⠀⠀⠀⠀⣀⠀⠀⢻⣀⣿⡅⢀⡷⣿⠠⣾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣀⣦⣿⢟⣧⣝⠖⠀⠀⠀⠀⠀⢰⠯⠉⠁⠀⠀⠉⠻⣷⣾⠷⣹⣟⣟⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠣⠂⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⢿⣋⠁⠀⠀⠀⠀⢀⣘⢻⣉⣻☆⡏⢷⣤⣰⣴⣠⣤⣾⣼⣷⣦⣄⣀⣀⡤⣄⣯⢿⢰⣄⡻⠷⠒⣲⣶⡦⠤⠶⠶⠦⠤⠄⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠠⠶⠶⠾⠿⠷⠷⠶⣾⠿⠿⢿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡻⢵⣿⢿⠓⠛⠉⠟⠛⠑⠚⠛⠺⣶⣦⣟⠻⡏⣼⣷⣟⠁⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠁⠀⠀⣿⣷⡆⠀⠀⣰⣟☆⠿⠿⠻⣿⣥⣞⣿⢶⣤⣀⡀⠀⠀⢀⣠⣀⠀⢻⣻⡹⡶⡗⣿⢡⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⡀⡿⣯⠄⠀⠀⠀⠉⢫⠉⢹⣶⣯⣗⣻⣷⡶⢿⣟⠻⡷⠨⢽⣷⣷⣸⣧⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠇⢿⣷⣂⠀⠀⠀⠀⠘⠿⠞⠕⠉⠀⠉⠛⠙⠿⣟⡳⢤⣄⡀⣿⣬⣻⡇⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠈⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠙⠿⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠄⠉⣡⣴⣿⣿⣾⣿⠿⡏⢿⣿⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠀⣴⣿⡟⠀⠈☆⠙⠛⣿⣞⢻⣷⢷⣤⣶⣶⣶⣶⡄⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣯⠁⠀⠀⠀⠀⠀⢻⡾⣿⣟⢺⣻⠍⠀⠈⢻⣿⡀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠝⣿⣷⣤⣀⣠⠀⠀⢸⣿⠛⣳⣾⡏⠄☆⠀⣠⡿⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⠁⠀⠀☆⢘⢻⠀⢹⡿⡇⣀⢈⠚⠉⠁⠀⠀⠀⠠⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠾⠿⢭⣓⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣻⣿⣿⣢⣩⡿⣿⡿⣻⣆⠀⠀⠀⠀⠀⢰⣎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠃⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⠈⢙⡿⣿⣧⣿⠇⠁⠀⠀⠀⠀⠀⠀⠸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠘⠦⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢈⣾⣿⣦⣀⣀⣠⣀⣠⣀⣀⣀⡀⠀⠀⠀⠀⠀⠹⠶⠀⢰⣷⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠢⡈⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣼⣾⣿hman⠛⠛⠓⠚⠷⢿⣿⣶⣦⣀⡄⠀⣤⣄⣎⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣘⣿lra⠁⠀⠀⠀⠀⠀⠀⢠⢶⡼⠾⣿⣫⣭⠷⣦⣴⢏⣿⣿⠯⢽⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⡀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢞bde⠁⠀⠀⠀⠀⠀⠀⠀⠀⠂⣿⡟⠀⠈⠉⠉⠉⢿⣿⡟⣿⢿⣈⢀⣸⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀a⠟⠃⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠺⣿⣦⡤⠀⠀⠀⣿⡇⣾⣻⣭⡏⣌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠏⠀⠀⠀⠀⠴⡶⣾⣻⣯⡇⠀⠀⠀⠀⠈⠫⠄⡘⠶⠿⣿⣧⣏⣿⡿⠷⢻⣽⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡏⠄⠀⠀⠀⠀⠘⢟⣿☆⠯⠅⠀⠀⠀⠀⠀⣀⣤⣷⣦⣌⣽⣾⣽⠉⠀⠀⠀⢸⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣁⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢰⡟⠉⠈⠛⢿⣿⢇⣼⣷⡀⠀⠠⣴⠟⣁⣀⣴⡶⢾⣦⣴⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣅⠀⠀⠀⠈⢻⢿⢧⢽⣿⣥⣀⣴⡾⣻⣾⠟⠻⠿⠷⠷⢾⣹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣿⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠃⠀⠀⠀☆⣈⡺⣋⣧⣙⡟⢩⣷⡿⠛⠃⠀⠀⠀⠀⠀⠀⠘⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠸⣿⡿⢯⣾⣿⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣯⡿⣌⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⢾⡧⣼⢿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⣰⠿⣻⣿⠟⣌⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣦☆⠀⣸⡗⠸⡼⣿⡙⠂⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⣹⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢻⡏⠀⢹⣿⡆⠁⠻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢿⣷⣟⣵⡦⣑⣾⣷⡆⠀⠀⠀⠈⢣⣄⠀⣀⡀⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⡀⢿⡷⡤⣀⡀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰☆⠀⠀⠀⠀⠀⠈⠁⠉⠹⣾⡹⡿⡁⠀⠀⠀⠈⠛⠍⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠃⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢀⣀⢤⠵⠟⣿⣿⡟⣿⡬⣅⣀⣀⣀⡀⠀⣀⣐⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽⡷⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣳⠇⠀⠀⠀⠀⠀⠀⠉⠛⠚⠉⠋⠉⠉⠉⠻⢷⣺⣿⣿⠟⣿⡿⠋⠉⠉⠉⢁⠉⠀⠀⠀⠄⠀⠄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡷⢆⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣭⠿⠁⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠔⡿⣿☆⣻⡄⣿⣯⠀⠀⠀⠀⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⢷⡦⡄⠀⠀⠀⠀⠀⠸⣻⡄⠀⠀⠀⠀⠀⠀⠀⣴⡿⠃⣿⡄⠘⠹⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⣴⡾⢏⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢦⣽⣧⣿⠻⠂⠀⠀⢀⣁⣂⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠑⠀⣠⡿⣿⣤⣀⣀⣀⣀⣈⣷⠽⣷⣶⣤⣄⣢⡶⠿⣛⣍⣺⣿⣟⣙⣄⣈⠀⠉⠽⠿⠿⢶⠶⠶⢶⠿⠿⠻⠏⠉⠐⠚⠛⡒⠶⠶⠶⠶⠶⢶⢶⠖⡶⠶⠶⠦⠶⠶⡶⠾⢶⣷⢻⢱⠹⠋⠉⠁⠄⣤⣄⣤⢭⣽⣿⠿⠿⠿⠟⠛⠛⠛⠛⠓⠛⠒⠒⠂
⠀⠀⠀⠀⣠⡤⠤⣤⡤⣤⣶⣴⠦⠤⠴⠦⠶⠶⠦⠶⠤⣶⣶⣿⣿⣿⣿⡶⢶⡾⠿⡽⠿⣿⣿⢣⣴⠾⠭⢿⣾⣿⣞⡙⣭⣿⣿⣿⠾⠶⢥⡀⠀⠴⣾⡿⢁⣤⣾⠿⠿⠿⠿⠛⠛⠛⠛⠒⠛⠛⠛⠛⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⡶⣾⠿⠙⣿⡏⢀⣴⣦⠠⢽⡏⠀⢻⢣⢿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⡯⠚⠁⠀⠀⠀⠈⣿⡿⣬⠾⠋⠉⠀⠀⠀⠁⠛⢯⣦⡀⠁⠹⡏⣷⠤⣤⢴⣴⢿⣽⣦⠀⠀⠀☆⣤⡤⣤⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢿⡀⠀⢼⣗⢌⣿⡿⣀⣸⡇⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣆⠀⠀⠀⠀⠀⣿⢁⠯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⠆⠀⠈⠓⠧⡝⣷⠀⢼⡼⠓⠀⠀⠀⠀⠀⠈⠟⣿⢠⣱⡀⠀⠀⠀⠀⠀☆⠠⡼⣧⡀⠸⡿⣆⢾⣧⣒⡿⠁⠀⢀⡎⠀⠠⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁☆⠀⠀⠀⠀⣿⢸⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⣰⣀⣀⠀⢆⠉⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣹⢈⢸⡀⠀⠀⠀⠀⠀⠀⠀⢱⢿⠆⠀⣹⠉⢾⠿⢸⡇⠀⠀⣸⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡀⠀
⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡜⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⣿⠛⠛⢿⣦⣄⣀⣬⣙⠲⢧⣤⣤⣤⣤⡴⢺⡷⣓⢊⡤⠀⠀⢀⣀⣀⣀⣀⣀⣈⣛⣤⣼⣿⣡⣶⣷⢾⠿⣵⠤⣥⢀⠀⣀⣀⣐⣠⣠⠤⠀⠀⠀⢀⣼⢧⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣿⣄⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠈⢿⣿⣤⣴⠞⣹⡿⢶⣿⡿⠿⢾⣶⡶⠞⢴⣟⠫⡍⠤⠈⠀⠀⠀⣤⣽⣙⠉⠛⠛⠛⣷⣬⣦⡶⢼⡽⣁⡧⠾⠷⣄⡞⠖⠒⠋⠉⠉⠀⠀⠀⠀⠀⢁⣾⠟⠉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠙⠻⣷⣦⣤⣤⣤⠶⠂⠀⠀⠀⠀⠀⠉⢠⣿⣿⡾⠛⠛⠛⠲⢶⣥⣉⡠⠉⠻⣶⣴⡄⠀⠀⠀⠈⠉⡙⠽⣷⡄⠀⠀⢸⡏⠁⠀⠀⣧⣼⠀⠀⠰⢿⠃⠀⠀⠀⠀⠀⠀⠀⣀⣤⡼⠟⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣽⣹⠀⠀⠀⠀⠀⡆⠙⠋⡛⠷⠦⣌⣉⡙⠳⠤⣴⣤⣴⣆⡽⣯⣧⡀☆⠀⣷⠀⠀⢠⣿⣼⡀⠀ ⠓☆⠀⠀⠀⠀⣀⣤⡶⠟⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⡤⠤⠀⠀⠀⠈☆⠀⠀⠰⠀⠉⢉⣛⡷⣬⣶⣄⠢⢷⢶⣞⠻⢿⡦⣤⣴⣠⣤⣾⠿⢹⠿⢶⠦⣴⣶⣶⣶⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢾⣿⢙⣿⡿⠓⠛⠒⠽⠳⢶⣶⣶⣄⢀⣾⣾⠿⠛⢋⠀⠄⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⢀⣸⣟⠮⠀⠀⠀⠀⠀⠀⠀⠀⠈⢫⣿⣺⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠚⠷⠶⠼⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣠⡴⠞⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⠾⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣘n⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⣁⡴⠂⠀⢀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⣿a⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠣⠄⢉⡖⠂⠄⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⢠⣾⠟m⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⣄⠀⠠⢀⠀⠁⢀⡰⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⡿⠃h⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠤⠤⠤⠄⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠒⠀⠒⠊⠐⠢⠭⢒⣤⠉⠒⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣰⣿⡟a⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠔⠁⠀⠀⠀⠀⠀⠀⠀⠀⠠⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣄⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⣴⣿⠷r⠀⠀⠀⠀⠀⠀⠀⠤⢀⡀⡠⠄⠀⠀⠀⠀⠴⠆⠰⠄⣀⠀⠀⠈⠑⠶⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠱⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣥⣯l⠀⠀⠀⠀⠀⠀⠚⢉⡰⣻⢰⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠑⠼⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠘⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣦⣤⣀⣀⠀⠀⠀⣾⣽e⠀⠀⠀⠀⠌⡠⠉⠉⠀⢯⡈⠠⠁⢰⡀⠀⠀⠀⢰⠄⢀⠀⠀⠀⠀⠑⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠛⠀⢀⠉⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣿⢟⣯⣳⠿⠛⢿⣷⣶⣶⣿d⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠁⠀⠢⡸⠆⠀⠀⠀⢸⡷⠀⠀⠀⠀⠀⠀⠈⠳⠀⠀⠀⠀⠀⠀⠄⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢘⠃⠸⠧⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠁⠴⠷⠁⠀⠀⠈☆⣻⣿⢿b⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⢸⠧⠀⠀⠀⠀⠀⠀⠀⠀⠙⠂⣀⠀⠀⠀⠀⠀⠀⠂⠂⠀⠀⠀⠀⠀⠀⠅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠟⠂⠀⠀⠀⠀⢀⣌⣧⡱⣻⡽a⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠐⣀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⢀⠀⠄⠀⠀⠀⢠⡠⠒⠀⠀⠀⡖⠀⢽⣿⣾⢅⣼⡟⢶⣷⣄⠄⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⣾⡇⠀⠀⠠⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⢀⠀⠀☆⠀⠀⠀⠐⠋⠀⠀⠀⡀⠀⠰⣤⣿⣿⣿⣞⡿⠛⠀⢫⡿⠃⠀⠀⠀⠀⠀⠀⠀⣸⠀⠁⠂⠀⣿⣧⠀⠀⠐⠣⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣷⡀⡇☆⣿⢿⣿⣿⣷⠀⠀☆⠁⠀⠀⠀⠀⠁⠀⠀⠀⣿⠀⣶⣰⡀⣿⡇⢾⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠩⡝⢿⠞⢿⣸⣳⣌⡀⠀⠀⠠⠀⠀⠀⠀⠀⣀⠀⠀⢻⣀⣿⡅⢀⡷⣿⠠⣾⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⣀⣦⣿⢟⣧⣝⠖⠀⠀⠀⠀⠀⢰⠯⠉⠁⠀⠀⠉⠻⣷⣾⠷⣹⣟⣟⡗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠣⠂⠀⠀⠀⠀⠀⠀⠀⠠⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣼⢿⣋⠁⠀⠀⠀⠀⢀⣘⢻⣉⣻☆⡏⢷⣤⣰⣴⣠⣤⣾⣼⣷⣦⣄⣀⣀⡤⣄⣯⢿⢰⣄⡻⠷⠒⣲⣶⡦⠤⠶⠶⠦⠤⠄⡠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠀⠀⢀⠠⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠠⠶⠶⠾⠿⠷⠷⠶⣾⠿⠿⢿⡿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣿⣿⡻⢵⣿⢿⠓⠛⠉⠟⠛⠑⠚⠛⠺⣶⣦⣟⠻⡏⣼⣷⣟⠁⠀⠀⠀⠀⠀⠀⠀⠸⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠉⠉⠁⠁⠀⠀⣿⣷⡆⠀⠀⣰⣟☆⠿⠿⠻⣿⣥⣞⣿⢶⣤⣀⡀⠀⠀⢀⣠⣀⠀⢻⣻⡹⡶⡗⣿⢡⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠀⢁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡇⠀⠀⠀⡀⡿⣯⠄⠀⠀⠀⠉⢫⠉⢹⣶⣯⣗⣻⣷⡶⢿⣟⠻⡷⠨⢽⣷⣷⣸⣧⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠳⠀⠀⠀⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⠁⠇⢿⣷⣂⠀⠀⠀⠀⠘⠿⠞⠕⠉⠀⠉⠛⠙⠿⣟⡳⢤⣄⡀⣿⣬⣻⡇⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠀⠀⠈⠁⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡞⠀⠀⠀⠙⠿⠤⠤⠤⠀⠀⠀⠀⠀⠀⠀⠀⠄⠉⣡⣴⣿⣿⣾⣿⠿⡏⢿⣿⢆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠒⠂⠀⣴⣿⡟⠀⠈☆⠙⠛⣿⣞⢻⣷⢷⣤⣶⣶⣶⣶⡄⠀⠀⠀⠀⣾⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠰⣿⣯⠁⠀⠀⠀⠀⠀⢻⡾⣿⣟⢺⣻⠍⠀⠈⢻⣿⡀⠀⠀⠈⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⠝⣿⣷⣤⣀⣠⠀⠀⢸⣿⠛⣳⣾⡏⠄☆⠀⣠⡿⠀⠀⠀⠀⠸⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠙⠉⠁⠀⠀☆⢘⢻⠀⢹⡿⡇⣀⢈⠚⠉⠁⠀⠀⠀⠠⣧⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣴⠾⠿⢭⣓⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣻⣿⣿⣢⣩⡿⣿⡿⣻⣆⠀⠀⠀⠀⠀⢰⣎⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠒⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⠃⠀⠀⠀⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠿⠈⢙⡿⣿⣧⣿⠇⠁⠀⠀⠀⠀⠀⠀⠸⠏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠘⠦⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢈⣾⣿⣦⣀⣀⣠⣀⣠⣀⣀⣀⡀⠀⠀⠀⠀⠀⠹⠶⠀⢰⣷⣿⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠀⠀⠀⠢⡈⠧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡴⣼⣾⣿hman⠛⠛⠓⠚⠷⢿⣿⣶⣦⣀⡄⠀⣤⣄⣎⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡀⣘⣿lra⠁⠀⠀⠀⠀⠀⠀⢠⢶⡼⠾⣿⣫⣭⠷⣦⣴⢏⣿⣿⠯⢽⢦⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⡀⠀⠀⠀⠀⠐⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⢞bde⠁⠀⠀⠀⠀⠀⠀⠀⠀⠂⣿⡟⠀⠈⠉⠉⠉⢿⣿⡟⣿⢿⣈⢀⣸⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀a⠟⠃⠀⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠺⣿⣦⡤⠀⠀⠀⣿⡇⣾⣻⣭⡏⣌⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣗⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠏⠀⠀⠀⠀⠴⡶⣾⣻⣯⡇⠀⠀⠀⠀⠈⠫⠄⡘⠶⠿⣿⣧⣏⣿⡿⠷⢻⣽⣦⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢤⡏⠄⠀⠀⠀⠀⠘⢟⣿☆⠯⠅⠀⠀⠀⠀⠀⣀⣤⣷⣦⣌⣽⣾⣽⠉⠀⠀⠀⢸⡿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣁⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⢰⡟⠉⠈⠛⢿⣿⢇⣼⣷⡀⠀⠠⣴⠟⣁⣀⣴⡶⢾⣦⣴⣂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣙⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⣅⠀⠀⠀⠈⢻⢿⢧⢽⣿⣥⣀⣴⡾⣻⣾⠟⠻⠿⠷⠷⢾⣹⣦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢳⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⣿⠀⠀⠀⠀⠀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢷⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠚⠃⠀⠀⠀☆⣈⡺⣋⣧⣙⡟⢩⣷⡿⠛⠃⠀⠀⠀⠀⠀⠀⠘⢻⣿⣆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣷⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⣿⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠸⣿⡿⢯⣾⣿⡽⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣿⡆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢾⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⣴⣯⡿⣌⡂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⠀⠀⠀⢾⡧⣼⢿⣿⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⣰⠿⣻⣿⠟⣌⡦⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢯⣦☆⠀⣸⡗⠸⡼⣿⡙⠂⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⢀⣹⡧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣸⡏⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⢻⡏⠀⢹⣿⡆⠁⠻⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠋⢿⣷⣟⣵⡦⣑⣾⣷⡆⠀⠀⠀⠈⢣⣄⠀⣀⡀⢀⣾⠟⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢻⣆⡀⢿⡷⡤⣀⡀⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢰☆⠀⠀⠀⠀⠀⠈⠁⠉⠹⣾⡹⡿⡁⠀⠀⠀⠈⠛⠍⠛⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣠⣿⠃⠀⠀⠀⠀⢀⡀⠀⠀⠀⠀⠀⢀⣀⢤⠵⠟⣿⣿⡟⣿⡬⣅⣀⣀⣀⡀⠀⣀⣐⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢺⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⡽⡷⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣴⣳⠇⠀⠀⠀⠀⠀⠀⠉⠛⠚⠉⠋⠉⠉⠉⠻⢷⣺⣿⣿⠟⣿⡿⠋⠉⠉⠉⢁⠉⠀⠀⠀⠄⠀⠄⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢿⡷⢆⢿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⣾⣭⠿⠁⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀⠀⠔⡿⣿☆⣻⡄⣿⣯⠀⠀⠀⠀⠈⠄⠀⠀⠀⠀⠀⠀⠀⠀⠄⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣤⡶⢷⡦⡄⠀⠀⠀⠀⠀⠸⣻⡄⠀⠀⠀⠀⠀⠀⠀⣴⡿⠃⣿⡄⠘⠹⣷⣶⣄⡀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣀⣴⡾⢏⣿⡋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡟⢦⣽⣧⣿⠻⠂⠀⠀⢀⣁⣂⣀⣀⡀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠑⠀⣠⡿⣿⣤⣀⣀⣀⣀⣈⣷⠽⣷⣶⣤⣄⣢⡶⠿⣛⣍⣺⣿⣟⣙⣄⣈⠀⠉⠽⠿⠿⢶⠶⠶⢶⠿⠿⠻⠏⠉⠐⠚⠛⡒⠶⠶⠶⠶⠶⢶⢶⠖⡶⠶⠶⠦⠶⠶⡶⠾⢶⣷⢻⢱⠹⠋⠉⠁⠄⣤⣄⣤⢭⣽⣿⠿⠿⠿⠟⠛⠛⠛⠛⠓⠛⠒⠒⠂
⠀⠀⠀⠀⣠⡤⠤⣤⡤⣤⣶⣴⠦⠤⠴⠦⠶⠶⠦⠶⠤⣶⣶⣿⣿⣿⣿⡶⢶⡾⠿⡽⠿⣿⣿⢣⣴⠾⠭⢿⣾⣿⣞⡙⣭⣿⣿⣿⠾⠶⢥⡀⠀⠴⣾⡿⢁⣤⣾⠿⠿⠿⠿⠛⠛⠛⠛⠒⠛⠛⠛⠛⠙⠋⠉⠉⠉⠉⠉⠉⠉⠉⠙⠛⡶⣾⠿⠙⣿⡏⢀⣴⣦⠠⢽⡏⠀⢻⢣⢿⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢙⡯⠚⠁⠀⠀⠀⠈⣿⡿⣬⠾⠋⠉⠀⠀⠀⠁⠛⢯⣦⡀⠁⠹⡏⣷⠤⣤⢴⣴⢿⣽⣦⠀⠀⠀☆⣤⡤⣤⣈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠃⢿⡀⠀⢼⣗⢌⣿⡿⣀⣸⡇⠀⠀⢸⠃⠀⠀⠀⠀⠀⠀⠐⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣆⠀⠀⠀⠀⠀⣿⢁⠯⠄⠀⠀⠀⠀⠀⠀⠀⠀⠘⢿⣷⠆⠀⠈⠓⠧⡝⣷⠀⢼⡼⠓⠀⠀⠀⠀⠀⠈⠟⣿⢠⣱⡀⠀⠀⠀⠀⠀☆⠠⡼⣧⡀⠸⡿⣆⢾⣧⣒⡿⠁⠀⢀⡎⠀⠠⠀⠀⠀⠀⠈⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁☆⠀⠀⠀⠀⣿⢸⢷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠸⡿⣰⣀⣀⠀⢆⠉⢹⣇⠀⠀⠀⠀⠀⠀⠀⠀⢀⣸⣹⢈⢸⡀⠀⠀⠀⠀⠀⠀⠀⢱⢿⠆⠀⣹⠉⢾⠿⢸⡇⠀⠀⣸⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣾⡀⠀
⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⡜⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣯⣿⠛⠛⢿⣦⣄⣀⣬⣙⠲⢧⣤⣤⣤⣤⡴⢺⡷⣓⢊⡤⠀⠀⢀⣀⣀⣀⣀⣀⣈⣛⣤⣼⣿⣡⣶⣷⢾⠿⣵⠤⣥⢀⠀⣀⣀⣐⣠⣠⠤⠀⠀⠀⢀⣼⢧⠁⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣷⣿⣄⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠈⢿⣿⣤⣴⠞⣹⡿⢶⣿⡿⠿⢾⣶⡶⠞⢴⣟⠫⡍⠤⠈⠀⠀⠀⣤⣽⣙⠉⠛⠛⠛⣷⣬⣦⡶⢼⡽⣁⡧⠾⠷⣄⡞⠖⠒⠋⠉⠉⠀⠀⠀⠀⠀⢁⣾⠟⠉⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⠙⠻⣷⣦⣤⣤⣤⠶⠂⠀⠀⠀⠀⠀⠉⢠⣿⣿⡾⠛⠛⠛⠲⢶⣥⣉⡠⠉⠻⣶⣴⡄⠀⠀⠀⠈⠉⡙⠽⣷⡄⠀⠀⢸⡏⠁⠀⠀⣧⣼⠀⠀⠰⢿⠃⠀⠀⠀⠀⠀⠀⠀⣀⣤⡼⠟⠁⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣽⣹⠀⠀⠀⠀⠀⡆⠙⠋⡛⠷⠦⣌⣉⡙⠳⠤⣴⣤⣴⣆⡽⣯⣧⡀☆⠀⣷⠀⠀⢠⣿⣼⡀⠀ ⠓☆⠀⠀⠀⠀⣀⣤⡶⠟⠉⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⣿⡤⠤⠀⠀⠀⠈☆⠀⠀⠰⠀⠉⢉⣛⡷⣬⣶⣄⠢⢷⢶⣞⠻⢿⡦⣤⣴⣠⣤⣾⠿⢹⠿⢶⠦⣴⣶⣶⣶⠟⠛⠉⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠛⢾⣿⢙⣿⡿⠓⠛⠒⠽⠳⢶⣶⣶⣄⢀⣾⣾⠿⠛⢋⠀⠄⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀☆⠀⠀⠀⠀⠀⢀⣸⣟⠮⠀⠀⠀⠀⠀⠀⠀⠀⠈⢫⣿⣺⠟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠙⠚⠷⠶⠼⠿⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢹⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣿⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢽⠈⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀ ⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠉⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
MY PRINCIPLES
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Creative Fluency
Disciplined Excess
Lucid Complexity
Deliberate Impulse
Elegant Disorder
Systematic Theatrics
Controlled Rupture
Poise in Collapse
Formal Disobedience
Syntax of Sensation
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