This game is concerning a busty mommy who enjoys to seduce young people. She outfits really wonderfully and also you have to aid the person seduce her. The game has numerous modes, this is the timeless mode where you can play with different ladies, along with the one in charge mode. The one in charge is a person who goes to different areas in your city and also keeps order. If he sees that you are flirting with any kind of lady, he can punish you. The one in charge has numerous perks, as an example, if you are caught at the criminal activity scene, then the one in charge will punish you and afterwards you will have to pay him money. Each time the one in charge will come later.
The sluttiest waifus and hentai girls are waiting for you right now! Create and chat with your own sexy hentai waifu and generate limitless ai porn, sex roleplay and erotic stories with them. 100% uncensored ask them anything. Don't make them wait and go chat with them to experience the best AI sexchat ever.
To complete the task of locating ladies for your employer, you will need to get started on an awesome city-wide journey. The initial stop on your journey is the neighborhood theater, where the latest superhero film, The Incredibles, is currently playing. Your goal is to locate Violet Parr, the undetectable adolescent superhero from the motion picture. To do this, you will need to blend in with the crowd and keep your eyes peeled for any individual who shows amazing capacities, such as invisibility. As soon as you have efficiently recognized Violet, you will need to approach her and strike up a conversation. Make certain to state your adoration for her superhero capacities and share your employer's passion in fulfilling her. If Violet accepts fulfill your employer, make certain to get her call details and set up a time and area for the introduction.
The anime cosmos of "Dragon Round" is well recognized for it's utmost heroes. And this game will offer you an opportunity to come to be one of them! Yet you will do it not via fights considering that you can dominate this world in an additional means - by dominating it's bitches! Train your favored busty milfs such as Chi Chi or Bulma and turn them into your own obedient sexual slaves with all the benefits!
This story has rather timeless beginning - young and unexperienced gal relocates to large city where she will locate a whole lot of new possibilities and encounter a whole lot of new temptations. Yet which ones will win the battle for Eva's (that's our major heroine's name btw) heart and mind? Guide Eva via her new life and witness her improvement into either far better or worse version of herself!
Welcome! Welcome ot the world of Dirty Fantasies - the wonderfil palce where your most wet and mischievous dreams come to be true! The best laides that you can only think of will come to be the love of your lifetime... or just sluts for one night - if this is what you are dreaming concerning! Amazong mix of visual novel and dating simulator that ends up with hentai whatever! Take pleasure in!
These moments are very uncommon in the hostory of the world - the moments when the male appears who can transform the means of the cosmos itself. Though for the goddess named Karma this takes place regularly than she possibly would want it to. So as soon as again she gathers the most powerful and the most devoted of her servants in order to locate this person and to set him or her on the path that she calls for. The goal for the fate of the world? Yes, and you are in the very center of it!
Oh, there are absolutely going to be a lot more problems in Springfield! And just as normal the most of these problems will be brought on by Bart Simspon. Though the character will be different - the kid has growned up and now his focus is focused on hot milfs which his tiny hometown has all type of: from friend's mommy to educators at college! And Bart is way also hungry for adult journeys to select just one of them!
Just one little adjustment of things and the story that most of us recognize and enjoy goes entirely opposite! What would take place if Izuku Midoriya from "My Hero Academia" were selected to come to be not the best of the heroes yet the naughtiest of the villains? Would his kind nature preveail whatever or would the temptations of being negative person among many hot chicks win this battel for people's sympathy? The solution relies on you!
College days are not only the time of research routine - it is additionally the after-lessons time to fulfill your pals and also share your passions! You take pleasure in books and also reviewing so having literature club is a large luck... yet it takes place that you are the only person among all the pleasant and also rather and also charming girls! Well, for a sexy person like you it is double luck! Yet the amount of of their 'books 'you will be able to 'review '?
From the really beginning Insouke had a feeling that he is below for a reason. First the indicators were barely noticable, barely getting together yet the more epxlorations Inosuke made the a lot more evident it was coming to be - this area has lots of keys and all these keys are attached with his. Though don't expect this journey worldwide of "Satanic force Slayer" will be only grimm - this popular anime cosmos has a whole lot of stunning female characters and they all have unclean keys you need to discover too!
It was meant to be videogames all night long for ideal pals yet instead one of them (yeah, the one that you are playing as) ended up stuck with his ideal frend's family members. Though don't get disturbed also early due to the fact that thankfully enough this family members contains hot looking mommy and non the less hot looking sis so as you can envision this night is going to be anything yet boring.
You are playing as a person who has to deal with your friends little girl named Milly. Her parents had to relocate to an additional country as a result of theor work though they didnt intend to take Milly out of her friendly setting specifically when she has started her researching at college. So leaving her under your safekeeping appeared like an excellent idea. Though resembles Milly is going to find out a whole lot of new terrific things not only at college...
A visual novel in which you'll have to make a casting call among the inhabitants of the Galaxy. Take a flight into the space bar to chat with local girls. After that, you can fuck them up and decide what you want to do. Once you've made your decision, you're able to keep your job as a producer. Seek out girls that you like, and then kiss them. You could be killed by them. The game can have multiple endings. It's all about your choices and actions. The game is fascinating initially, and may appear difficult but it's addictive.
**"Apology Sex Life"** is a deeply immersive and scorching adult video game masterfully crafted by ParadiceZone using the Ren'Py engine. This trainer-type parody video game is a harmony of sensuous delights, offering fully computer animated sex scenes that are as explicit as they are enchanting, improved with reasonable sound results that make every moment really feel extremely genuine. The video game's captivating and varied cast of personalities is designed to spark your dreams, each with their own distinct backstories and characteristics, making certain that your trip is as customized as it is thrilling. The ingenious two-route system in "Parody Sex Life" empowers you to dictate the training course of your adventure. Select your course and watch as the tale unfolds around your wishes, whether you're looking for romantic complexities, warmed encounters, or something much more daring and taboo. The high-definition computer animations and diligently comprehensive art work bring every personality to life, making each interaction really feel raw, extreme, and incredibly individual. The storyline is an envigorating mix of witty wit, significant twists, and unadulterated erotica, maintaining you on the edge of your seat and yearning a lot more. "Parody Sex Life" is greater than simply an aesthetic experience; it's a emotional and acoustic trip, with creative writing and expressive sound style that moves you directly into the heart of the activity. Every groan, every murmur, every wheeze is created to attract you deeper right into the globe of enjoyment and desire. This game doesn't simply damage the surface of your fantasies-- it dives deep, checking out the boundaries of what you believed was possible in a grown-up game. From the steamy encounters to the intricate stories, "Apology Sex Life" is a testament to the power of grown-up pc gaming done. It's a world where your wildest desires are given birth to, where every click brings you closer to the heat of the minute, and where the line in between dream and truth blurs into a haze of pure ecstasy. So, if you 're ready to begin on a trip that will certainly leave you out of breath and begging for even more, "Apology Sex Life" is your ultimate location. Prepare to be consumed by a tornado of interest, wish, and unchecked satisfaction.
Regretfully the 4th Terrific Ninja War has left lots of children as an orphants yet several of them got lucky adequate to get taken on by non aside from Hokage. Yes, it's concerning you. Yet what will you do next? Will you accept this compassion and offer the compassion in return? Or will you keep unscrupulous the retribution and make use of every possibility you can get to put your plan in activity? This selection is up to you!
Even when she is sleeping Gwen Tennyson's sweet culo looks so tempting... or may be it is because she is sleeping? Anyways the only thing that issue is that Ben who was sitting next to sleeping Gwen got horny! Actually he has got so horny that he ultimately decided to act and touched these sweet kinks to be able to figure out what Gwen does think about such stuff... and he got the reaction - looks like this promiscuous red-haired Gwen doesn't mind to have a kinky funtime with Ben at all! What has happened next between those two is the exact reason why you are playing this diminutive interactive parody on a hentai themed website! So don't miss this excellent opportunity and play with Gwen loving her gorgeous assets from various points of view and in many diverse positions!
You are a normal individual living a life of an ordinary trainee. After another one exhausting day of examining you are sitting at the regular train station waiting for the train to obtain you home. Just one yawn... and points stop being regular! You get up in the the other globe loaded with magic, warriors and hot looking nekogirls that assume that you were selected by their siren! This duty includes a whole lot of pleasant perks so don't remain in a thrill to reject it...
Once inside the kitchen, busty chick Tsunade prepares eggs and bacon for Naruto, unaware that Naruto masturbates looking at her candid photos. Preparing the bacon Tsunade goes to his room, and a little afterward Naruto comes to her. Finding Tsunade sleeping on the couch, Naruto embarks to massage her huge bra-stuffers and play with her hot appetizing cunt. Waking up, Tsunade is ready to debauch with Naruto. Naruto hard fucks big-titted Tsunade in all positions bringing her to plentiful multiple orgasm.
4 Elements has formed this world. 4 Nations has actually separated this world. And just one pewor to bring everything back with each other in consistency. This power is... sex! That 's! Return to the well-known unievrse of "Character: The Last Airbender" but this time take component in a much a lot more adult experience: witness the legendary events, satisfy your favorite characters and ofcourse fuck and seduce as several hotties around a sonly feasible!
Heroic Academia or not yet where else to construct your own harem of a lot of numerous girls as not in college? Dive into the familair world of popualr anime series, fulfill your favored characters and try to seduce as a number of the hotties as only possible! Come to be one of the pupils and live each day uncovering new possibilities, new capacities... and new sexual placements ofcourse!
Legendary avatar Korra who, following certain incidents and incurring serious debts, became an erotic model, is back so it's the right the right time to get back to pursue your dream of being the greatest agent ever... or at the very minimum, just an agent. The three chapters into the tale, so if would like to be aware of all the details or at the very least to comprehend what's going on, then it is recommended that you go through the previous games first (and which you can access on our website). In this section of the story then Korra will be able to keep her career in your direction and she will continue to discover her elements as well as her bending skills. In addition, since she is becoming stronger and stronger, you'll likely want to get in her good graces as the story progresses to the main plot twist...
Discussion: Total Comments : 2
madcummer:
made me fuck my mom and cum in her ass and mouth
Justarandom901:
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠛⠛⢻⣿⣿⠁⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⢨⣿⣿⡀⠀⠂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣿⣿⡇⠀⠄⠻⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠋⠉⢻⣿⡇⠀⠀⠀⢻⣿⡇⠀⠀⠀⢹⣿⣿⣿⣿⣿⡿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠸⣿⣷⠀⠀⠀⠘⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⠃⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢠⢻⣿⣿⣿⣿⣿⡇⠀⢢⢿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠀⣿⣷⠀⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⠏⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⣌⣿⣿⣿⣿⣿⡇⠀⠀⢻⣿⣿⡄⠘⣻⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠀⢹⣿⠀⠀⠀⠀⣾⡇⠀⠀⠀⢸⣿⣿⣿⡏⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢻⠌⢻⣿⣿⣿⡇⠀⠁⣐⣿⣿⣇⠘⢸⣿⣿⣿⣿⣿⣿ ⣿⡷⠀⠀⠀⠀⢿⡆⠀⠀⠀⣿⣇⠀⠀⠀⣿⣿⣿⡟⠀⠀⠀⢂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢧⡊⢿⣿⣿⡇⠀⠀⠀⢻⣿⣿⠀⠠⣿⣿⣿⠉⠛⣿ ⣿⣿⠀⠀⠀⠀⣿⠇⠀⠀⠀⠈⠁⠀⠀⠀⠈⠛⠛⠁⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠉⢀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠒⠭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣻⣿⣿⣽⣾⣿⣿⣿⣿⣟⣿⣿⣾⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢫⡽⣿⣷⠀⠀⠀⢨⣿⣿⠀⠀⢹⣿⣯⠀⢈⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠘⢦⡀⢀⠀⡄⠀⠀⢤⡀⠄⡄⠻⢼⢧⡿⣿⣿⣿⡿⣿⣿⡿⣿⣟⣿⣿⣧⣿⣿⣿⢿⣟⣿⣧⣷⣿⣿⣿⡿⣿⣿⣿⢿⣿⣻⣿⣿⣿⢿⣿⣿⣼⣾⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⣷⣿⣿⣆⠀⠀⠀⢿⣿⡀⠀⣸⣿⣧⠆⠘⣿ ⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠈⠂⠀⠈⠛⣀⠻⢄⠦⣭⢲⡅⣸⡘⢿⣼⣶⣙⣳⣏⣿⣽⡿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣻⣿⣿⣿⡿⣿⣻⣽⣿⣿⣿⣯⣿⣿⢿⣟⣿⣷⣿⡿⣟⣯⣿⣿⢿⣿⣿⣿⢿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠑⠈⠈⠉⠉⠀⠀⠀⠀⠙⠳⠀⢽⣿⣿⠀⢈⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡀⣒⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢠⡀⢌⢣⡟⡞⢯⣞⡷⣿⣿⣿⣿⣿⣷⣽⡞⣷⣿⣿⢿⣽⣾⣿⣿⣿⢿⣿⣿⣿⣻⣽⣿⡿⣿⣿⣻⣾⣷⡿⣿⣾⣿⣿⣻⣽⣾⣿⣿⡿⣿⣻⣿⡿⣷⣿⣿⣿⢿⣟⣿⣾⣿⣿⣿⣯⣿⣿⣿⣿⣻⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⢹⣶⣾⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⠁⠈⠀⠹⣦⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢆⡘⢦⠹⣜⠳⢮⡝⣷⣻⢿⣿⣿⣿⣿⣿⣯⣿⣾⣿⣿⣯⣷⣿⢿⣿⣻⣷⣿⢿⣿⣽⡿⣿⣽⣿⣻⣾⢿⣿⣽⣾⣟⣿⡿⣽⣾⣟⣿⡿⣟⣿⣿⣟⣯⣿⣾⣿⣿⡿⣿⣽⣾⣿⢿⣟⣯⣷⣿⣿⣟⣾⣿⡇⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠟⡽⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢮⣻⣿⣿⣿⡿⠿⠟⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠜⡠⠚⢤⢋⡜⢣⠹⣜⡱⢯⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⣿⣿⣽⣿⣻⣟⣿⣽⣾⣿⣻⣾⢿⣟⣯⣷⣿⣻⡿⣯⣿⣳⣿⣯⣿⣟⣯⣿⢿⣽⣿⢿⣳⣿⣿⣻⣽⣷⡿⣿⣿⢿⣻⣽⣿⣿⠿⠟⠿⠿⣾⣿⢾⣧⠀⢰⡧⠀⠠⣤⡄⠀⠀⠀⠀⠀⠀⠘⠁⠐⠸⣿ ⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠈⠉⠀⠀⠀⠀⠀⠈⢡⡙⣼⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠠⢉⠆⠡⠏⠐⠆⠌⠢⡑⠌⠼⡹⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣟⣯⣿⢯⣷⣿⣻⣽⣿⣻⡿⣽⣾⢿⣽⣿⣳⡿⣷⣻⣷⣻⣽⣾⢿⣻⣾⢿⣟⣷⣿⣻⣯⣿⣟⣿⣽⡿⣿⡟⠋⠀⠀⢀⡀⣆⣵⣻⣿⣿⣤⠟⠁⠀⢴⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠤⠡⠌⠸⠀⠌⡀⠙⠌⡒⠱⣙⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⡽⣿⣻⢾⣯⣷⢿⣳⡿⣿⡾⣟⣿⢾⣻⣽⡿⣽⣾⢯⣷⢿⣻⣯⢿⣻⣯⣿⢾⡿⣽⣷⡿⣯⣿⣟⣿⣧⣼⣿⣿⣿⣿⣶⣾⣵⣾⣿⣿⣿⣦⡀⢸⡿⢟⣢⣤⡄⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠠⠁⠐⠀⠀⠀⠀⢄⠑⡾⢾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢷⣯⢿⣻⣽⣯⢷⣯⣟⣯⢿⡷⣟⣿⣽⣻⢯⣷⢿⣻⡾⣿⣽⣻⢷⣻⣟⣯⡷⣟⣿⣻⣟⣾⢿⣻⡷⣿⣻⣟⡿⣿⣽⣻⣟⣿⣿⣿⣇⠞⡩⢓⡈⣿⡄⣴⡏⢱⣿⣿⣶⡄⠀⠀⠀⠀⠠⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⣤⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⣌⠰⠄⠀⠀⠀⠀⣀⣈⣴⣩⣿⣷⣭⣻⣿⣿⣿⣿⣿⣿⣿⣿⣞⣯⣟⣯⣟⡾⣽⣻⢾⡽⣾⣻⣽⣻⣞⣷⣻⢯⣟⡿⣽⣻⢷⣯⣟⣯⣷⣻⢷⣻⢯⡷⣿⡽⣯⡿⣯⣟⣷⢿⣽⣻⢷⣯⢷⣯⢷⣻⢿⣎⣃⣀⣹⣴⢿⡁⢿⠁⣾⣿⣿⣿⡷⠀⠀⠀⠀⣿⣿ ⣿⣿⣿⡂⠀⠀⠀⣀⠐⠂⠀⠀⡀⠀⠀⢀⠠⣄⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣠⣞⣷⣾⣿⣿⣿⣽⢎⠰⠁⠀⣶⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣳⣟⡾⣽⣻⢷⣯⢿⣽⣳⣟⣾⣳⣟⡾⣽⢯⡿⣽⢯⣟⡿⣾⡽⣞⡷⣯⢿⡽⣯⣟⡷⣿⣽⣻⢷⣯⣟⡿⣾⣽⣻⣞⡿⣞⣯⣟⣯⢿⣿⡿⣿⣿⣋⣠⢞⣾⣿⢿⣿⣿⢃⣼⡄⠀⢰⣿⣿ ⣿⣿⣿⠄⠀⠀⠁⠒⠒⠀⠘⠒⢝⠳⢆⣢⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣴⣿⣻⣻⣽⣯⣟⣫⡽⣿⠷⠀⠈⣿⣿⣿⣿⣿⡿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢶⣻⢾⣽⣳⢯⣟⣾⡻⣞⣷⣻⣞⡷⣯⢿⡽⣯⢿⣽⣻⢾⣽⣳⢿⣽⣻⡽⣯⣟⡷⣯⣟⡷⣯⣟⡿⣾⣽⣻⠷⣯⢷⡯⢿⡽⣞⡽⣞⡿⣞⣿⣮⠿⡿⢋⣿⠟⣫⣾⣿⣿⣿⣿⡀⢠⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢰⣿⣿⣿⣽⣾⣿⣿⣿⠿⠛⠀⠀⢀⠸⣿⣿⡿⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣯⢷⣯⣽⡻⣞⣷⢻⡽⣞⣵⣻⢾⣽⣫⢿⡽⣻⢾⣽⣻⠾⣽⢯⣞⣷⡻⣷⢯⣟⡷⢯⣟⡷⣯⣟⡷⣽⣳⢿⡽⣳⡟⣯⡽⢯⣽⢻⣼⢻⣼⣻⣯⠛⣿⣷⠿⡿⢟⣿⣿⠋⢠⠁⢸⣽⣿⣿ ⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⣤⡀⠀⠀⠀⠀⣨⣿⠟⠉⠁⠛⠋⠣⢄⡾⠁⠀⢤⠈⠱⣿⣿⣷⣄⢀⣀⡰⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡼⡽⣞⡶⣯⣽⢻⡼⣏⣿⣹⠾⣭⢷⡾⣝⣯⡽⣏⡿⡶⢯⣿⡹⣟⡾⣳⢿⣹⢾⡽⣞⣿⣺⣽⣳⢯⣽⣳⢟⡾⣽⢳⣻⡵⣻⡝⣮⢟⣼⣛⡶⣏⢿⣦⢨⣷⠶⠋⣩⠟⠁⠀⠀⠂⡼⣿⣿⣿ ⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠌⠐⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠙⣆⠀⠀⠀⠈⠛⠒⣏⣁⣠⣤⣿⠟⠁⠀⣠⠞⠓⠀⠙⣿⣿⣿⡒⠨⠵⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣵⢻⣝⡾⣵⣫⡟⣽⡽⢶⣏⡿⣝⣳⢯⣻⢼⣳⢯⣽⣛⡟⣶⣻⣭⢷⢯⣏⡿⡽⢾⡽⢶⣛⡶⢯⣟⡶⣏⣯⢟⡼⣏⡷⣹⢧⡻⣵⢫⡞⣵⢻⡜⣯⢾⣇⠻⠒⠂⠀⠀⠀⠀⢠⡃⢸⣕⣾⣿ ⣿⣟⠀⠀⠀⠀⠀⣀⣀⣀⣸⣤⣡⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⡿⢀⣾⠀⠀⠀⠀⠀⠒⠋⢛⡛⠋⠁⠀⠀⣸⠃⠀⠀⠀⠀⢸⣿⣿⣧⣌⠓⡱⣄⢱⣫⣿⣿⣿⣿⣿⣿⣟⡼⢧⣻⡼⢧⣗⣻⡵⣻⢽⡺⣽⢭⣛⡾⣵⣛⡮⣟⢶⣫⡽⣳⢧⣯⢻⡾⣹⠾⡽⣯⠽⣏⣯⢽⣛⣮⢷⡻⣼⢫⡽⣞⡽⣹⢞⡵⣫⢷⡹⣎⢷⡹⣎⣟⣿⣦⣤⣼⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿ ⣿⠧⣧⣠⠖⡧⣛⢯⡻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣷⡁⢸⡇⠀⠀⠀⠀⠀⠠⡌⢂⣰⡄⠉⣠⣼⠋⣀⣤⡀⢀⣤⣾⣿⣿⣿⣿⣷⣵⣮⣷⣿⣿⣿⣿⣿⣿⣿⡷⣹⣛⢶⡻⣝⡮⢷⣹⠽⣞⣽⢺⣭⢷⡹⣖⢯⡳⡽⣎⡷⣝⡳⢯⡞⣭⢷⣫⢟⣳⡭⣟⡳⢾⣭⡳⣽⣚⠷⣭⢏⡷⣹⢞⡵⣫⢞⡵⣋⢷⡹⣎⢷⡹⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⢹⣷⢃⣏⢲⡍⣶⡹⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡿⣿⣷⠈⠷⡄⠀⠀⠀⠀⠐⣬⠟⢁⣴⣾⠟⠉⠐⠿⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣧⣛⢮⣗⡻⣜⢯⡞⣽⢺⡜⣧⣛⢮⡗⣯⢞⡵⣻⣜⡳⣭⣛⢧⡻⣝⢮⡳⣏⢾⡱⢯⣝⡳⣎⢷⣣⢏⡟⣾⡹⣞⡵⣫⢞⡵⣫⢞⡽⣎⢷⡹⣎⠷⣭⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿ ⣯⢺⣿⢢⢌⣣⡜⣧⡟⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⣧⠰⣾⠀⠀⠀⠀⠔⠃⢀⣟⣵⠋⠀⠀⠀⠀⠀⡀⠌⠈⢛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣜⢧⣛⠾⣜⡳⣝⢮⡝⣞⢧⡻⣵⢫⡞⡽⣎⠿⣜⡳⣎⢷⣣⠟⣮⢳⡝⣮⢳⡝⣮⡝⣳⢎⡷⣹⢎⢷⣫⢞⡵⣛⡼⣺⠵⣫⢞⡵⣫⢞⡝⣮⢳⣭⠻⣵⢫⡟⣻⣯⣭⣭⣥⣤⣤⣦⣤⣤⣶⣿ ⣧⣿⡟⣆⡚⠴⡛⢶⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣟⣿⡿⣿⣾⣟⣿⡄⠀⡄⠀⠀⠀⠀⠀⣏⠛⢀⠂⡁⠀⢀⣀⢀⣤⣴⣬⣾⣮⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡳⣝⢮⣝⡻⣜⡳⣝⢮⡝⣮⢳⡝⣮⢳⡝⣣⢏⡟⣼⢳⡹⢶⣙⠾⣱⢏⢾⡱⢏⣞⡱⡞⡵⣫⡜⢧⣛⢮⡖⢯⢞⡱⣏⡳⣝⢧⡻⣜⢧⡻⣜⠧⣏⣖⢻⡜⢧⣻⣿⡿⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣿⠟⡰⣍⠳⣽⢣⣟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣻⣿⣿⢿⣷⣿⢿⣷⣬⣧⠀⠀⢠⡄⠀⠈⢡⣦⣷⠾⠿⠟⠛⠋⠋⠙⠉⠛⣛⡿⣿⣿⣿⠟⢠⣿⣿⣿⣿⣿⠷⣎⢷⡹⣞⡼⢣⣏⠷⣹⠮⣝⣎⠷⣹⠲⣏⡼⣣⠟⣼⢣⣏⢽⣚⣬⡛⡵⣎⢧⢫⡝⢦⣛⠼⣳⢱⣚⠧⣝⡲⣝⢫⡎⠷⣍⡳⣭⠞⣵⣋⢾⡱⣭⢛⡖⢮⣓⡞⢧⣽⣿⣿⣿⢿⣻⣿⣟⣿⣿⣿⣿⣿ ⣿⣿⣮⣵⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣻⣿⢿⣾⣿⣻⣿⣿⣧⠀⠘⢧⡀⢠⣷⠏⢀⡀⠀⠀⠀⢀⡀⠄⠤⢦⣳⣿⣿⣿⣿⣇⣰⣿⣿⣿⣿⣏⡟⣮⢳⡝⣶⢹⣓⢮⡝⢧⢻⠼⣜⣭⢓⡻⣌⡗⢧⡻⢬⣓⢮⠳⡜⣦⢛⡵⢎⢧⢫⡜⡳⢬⡛⢶⣩⠮⣝⡲⡝⣜⣣⢝⣫⠜⣧⢓⡻⢦⣹⢲⣙⢦⣛⡼⢣⣓⢞⡱⣺⣿⣿⣯⣿⣟⣾⣻⢯⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⣿⣿⣟⣿⣽⣿⢿⣿⣻⣾⢿⣽⣻⣿⣷⠄⡉⣥⢘⠲⠌⡀⠀⡁⠀⠈⠁⠀⠀⠐⣢⢿⣾⣻⣿⣿⣿⣿⣿⣿⣿⣟⡼⣹⢎⡷⣹⢬⡳⢎⣳⠺⣍⢧⣛⡜⢦⢏⡵⣚⡼⢣⡝⢧⠞⡼⣩⠳⣜⢣⠞⡭⢎⡳⡜⣭⢣⡝⢦⢣⡛⡴⡹⡜⣎⠶⣩⢖⡫⢖⡫⢵⢣⢇⠯⣜⡲⣱⢚⢧⡙⢮⢵⣿⣿⣿⣿⣷⣿⢯⣟⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣟⣿⣿⣻⣿⣽⣿⣻⣯⡿⣻⠀⠈⢻⣯⡱⣀⣄⡁⢀⠠⢄⡠⣠⣄⣻⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡱⣏⡞⣥⢳⡭⣛⣬⠳⣍⠶⣣⠞⣭⡚⡴⢣⡝⣣⢞⡱⣫⢕⡣⢟⡬⢣⡛⣜⢣⢳⡙⢦⠳⡜⣭⢲⡙⢶⡱⡹⣌⢳⡱⢎⡵⢫⡜⣣⢏⣎⠳⣎⠵⣣⢏⠶⣙⢮⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣽⣿⣽⣾⣿⡽⠋⣰⣿⠀⡄⢤⡙⠷⣿⣿⣿⣷⣾⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⡸⢇⡯⢶⡍⣖⠻⣌⠷⣱⢋⠶⡹⣜⢣⢞⡱⢎⡵⢣⢎⡵⢫⡜⣣⠝⣬⢣⢧⡙⣎⢳⡹⣰⢣⠝⡦⢓⡵⣊⢇⠧⣋⢖⡣⢞⡡⢞⢬⠳⣌⢳⡱⣊⢳⢩⢲⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⡿⡿⢿⠿⡿⢿⠿⠿⠿⠿⡿⢿⠿⡿⢿⠿⢟⠿⣛⠿⠿⠿⠿⠿⢿⡿⣿⣯⣿⡷⠟⣁⡴⢋⣿⣿⡆⢿⣴⣿⣶⣬⣿⢿⢿⡿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⡞⣭⠳⣍⠞⣥⣋⢗⡳⣌⠷⡪⣕⢫⡔⣫⢚⡜⢣⠞⣱⠚⡴⢣⢎⡵⢊⢧⠲⢥⡓⢮⢱⢋⡔⢣⢎⢣⡍⡲⣉⠶⡙⡬⢎⠵⢪⣑⢲⣉⠮⣑⢣⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠙⠙⠛⠛⠿⢻⡏⣱⣿⣿⣿⣜⣳⣎⠷⣼⣫⣶⣳⣟⡶⣳⣶⣼⣚⣧⣾⣿⠿⣿⣮⣿⣟⣻⣦⣧⢳⡶⢦⣤⡖⡛⢩⡔⢸⣿⣿⣿⣎⡙⣛⠏⠙⠛⠻⢷⣶⣦⣌⣓⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣚⡑⣎⠣⣱⣬⣷⣿⣾⣿⣾⣿⣿⣾⣿⣿⣶⣯⣿⣷⣮⡖⣩⠲⣙⠦⡙⢦⡉⠶⡘⢥⢪⠱⡌⠵⣘⠲⣍⠲⣉⠮⡱⢌⡆⢳⡸⢡⡓⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⣀⣾⢁⣶⣿⣿⣿⡾⣷⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⡿⣾⣿⣶⣹⣏⣿⣱⢏⣹⣷⣿⣷⢾⣷⢿⠸⣇⢹⣿⣿⣿⣿⣷⡉⠀⠀⢀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠹⣰⢇⠹⢆⠹⣆⠹⢆⠇⢷⡈⢷⡈⢷⠈⢷⡈⢶⢁⢇⡎⣱⠈⣇⢉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⣸⣿⡄⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣽⣯⣿⢻⡇⣿⣾⣿⣿⣿⣿⣿⡇⠀⡀⢌⢲⠠⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣦⡎⢓⢎⡱⢌⠚⣌⠚⡴⢘⢢⡉⢦⡙⠦⡘⢦⡉⢖⡸⢄⠫⡔⡩⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢻⣿⣿⣿⣿⣿⣿⡀⢠⠵⣈⢦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡶⢶⡍⢎⡰⢩⠰⡉⢆⠜⡰⡘⠴⣉⠦⡘⢦⡑⢎⡱⢌⡡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣿⣿⣿⣿⣿⣿⣿⣧⣩⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣿⣶⡈⢇⡒⠅⡎⠬⡑⣘⠒⡰⢌⠱⢂⡍⡒⠴⡈⠖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣞⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡰⢌⠚⡄⢣⠜⡠⢣⠑⣌⡘⢢⠔⡱⢨⡑⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣫⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣷⣼⣤⣧⣜⣠⠜⠢⠜⡰⣁⠲⢄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⢿⣿⣿⢀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣴⣨⣑⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⢻⣿⢘⣿⣿⡈⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣽⣾⣯⣿⣿⣿⢨⣿⣿⡅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣻⣽⣾⣻⡷⣿⣧⣿⣿⡇⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣻⣯⣿⡽⣿⣷⣻⣿⡗⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣿⣿⣷⣿⣿⢯⣷⣿⡇⢼⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡧⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡛⡿⠿⢿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣻⣽⣾⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠎⣽⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⡿⠿⠿⠿⢿⣿⣿⣻⣾⡿⠿⠿⢿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⡾⢿⣿⣿⣿⣻⡿⠿⣿⣿⣿⠿⢾⣿⢿⠿⠿⠿⠿⠿⢿⣿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠈⢿⣿⣿⡇⠠⣤⣤⣄⠈⢻⣿⠁⢠⣴⣤⡀⠘⣿⠟⠁⣠⣤⣄⠈⢻⣿⠄⠀⣿⣿⣿⣿⠄⠀⣿⣿⣿⠀⢰⣿⣤⣤⡄⠀⣤⣤⣴⡇⠀⢠⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⡀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⡤⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡳⣌⢿⣿⣿⣍⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣼⡀⠸⣿⣿⡇⠀⠻⠟⠛⢀⣾⣿⣄⠈⠛⠻⢿⣿⣿⠀⢸⣿⣿⣿⡆⠀⣿⠇⠀⣿⣿⣿⣿⠂⠀⣿⣿⣿⠀⠠⣿⣿⣿⡅⠀⣿⣿⣿⡇⠀⠸⠟⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⢄⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢬⣾⣟⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢊⣯⣿⣿⣿⣷⡄⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⠛⠓⠀⠹⣿⡇⠀⣶⣶⣶⠀⢹⡿⠿⣷⣶⣤⡀⠙⣿⠀⠘⣿⣿⣿⠃⠀⣿⠁⠀⣿⣿⣿⣿⡃⠀⣿⣿⣿⠀⠀⣿⣾⢿⡆⠀⣿⣿⣿⡇⠀⢱⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠌⡠⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢱⣟⣧⡿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡟⣼⣿⣿⣿⣿⣿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⣷⣶⣶⣆⠀⢻⡇⠀⠙⠛⠉⣀⣼⣷⣀⠈⠛⠛⠁⣠⣿⣧⡀⠉⠛⠉⢀⣼⣿⡀⠀⠙⠋⠛⢹⣧⣀⠘⠛⠋⢀⣼⣿⣷⣻⡇⠀⣿⣿⣿⣇⠀⠘⠋⠛⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠠⠐⠈⣀⢂⠱⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⢣⣟⡿⣞⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢨⠐⠠⠐⠠⢌⠂⠀⠀⠀⠀⠀⠀⠀⡡⠂⡍⢶⣿⣻⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⣟⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠔⡂⠌⢠⠁⢎⡘⠀⠀⠀⠀⠀⠀⠠⠁⠤⢱⡘⣾⣿⣟⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠉⠉⠉⠉⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠛⠋⠛⣿⣿⣿⣿⡟⠛⠉⠛⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠋⠛⠙⠙⣿⣿⣾⣿⡋⠛⠙⠋⠋⠉⠋⠙⠉⠋⠉⠉⠉⠙⠙⠋⣿⣿⣿⠛⠋⠉⠙⠉⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠉⠛⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠋⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠜⡐⠌⡄⢊⠴⡉⠀⠀⠀⠀⠀⠀⠄⡉⠦⣡⢛⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⡿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⣊⠔⡡⠘⣌⠲⡁⠀⠀⠀⠀⠀⢈⡐⢠⠓⣬⢏⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣤⣶⣿⣷⣶⣦⣄⠀⠀⠀⠀⠙⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣽⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⢢⠑⡄⠳⣌⠣⠀⠀⠀⠀⠀⡀⠂⡔⢡⢚⣜⣫⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢠⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢰⡀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⡿⢈⢆⡱⢨⡑⠦⠁⠀⠀⠀⠀⠀⠄⢃⡘⢤⢫⡼⣹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣴⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⡆⠀⠀⠀⠀⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⡆⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣾⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⡇⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⡟⢠⡎⡔⢣⡝⡌⠀⠀⠀⠀⠀⠐⠈⡆⠘⣦⢳⡝⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣄⠀⠀⠀⠀⢻⣿⣾⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⠀⠀⠀⠀⠸⣷⠀⠀⠀⠸⣿⣿⣿⣿⣿⠇⠀⠀⠀⣰⡧⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣸⣿⣿⡀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣗⠨⡔⣡⠏⢶⡁⠀⠀⠀⠀⠀⠑⡂⢌⡱⣘⢮⢷⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣦⠀⠀⠀⠀⠹⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠸⣿⣿⣿⡏⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢠⣿⣿⣿⣧⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣆⡱⢆⡛⣦⠅⠀⠀⠀⠀⡐⢂⠱⣈⠖⣭⣞⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣧⡀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠄⠀⠀⠀⠀⣴⡤⢤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⢹⣿⡿⠁⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣾⣿⣿⣿⣿⣆⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣷⡘⢮⡱⣎⠇⠀⠀⠀⠀⡐⢂⠱⡌⢞⡴⣫⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠿⠛⠿⢻⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣷⡄⠀⠀⠀⠈⠂⠀⠀⠀⠀⣿⣿⣿⣿⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⡀⠀⠀⠀⢿⠃⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⣹⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠈⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡥⢳⡹⣎⡇⠀⠀⠀⢀⠰⣈⠒⣍⠞⣼⣳⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣽⣿⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡇⠀⠀⠀⠀⢼⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣇⡳⣝⠾⡅⠀⠀⠀⢌⢶⡠⣙⢬⢻⣼⣳⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠙⠻⠿⠿⠿⠛⠁⠀⠀⠀⠀⣠⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⢿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠻⣿⣿⣿⣿⡧⣹⢮⣟⡇⠀⠀⣈⠞⣣⡗⡌⡞⣧⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢻⣿⣿⣿⡳⣝⡞⣾⡇⠀⢠⠱⣞⡳⣿⢌⡳⣝⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⣀⣀⣀⣠⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣿⣿⣿⣿⣧⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣿⣿⣿⣿⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣾⣿⣿⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣤⣤⣤⣼⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣾⣿⣿⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣿⣿⣿⣱⢏⣾⢿⡗⠀⢢⡝⣲⡝⣿⢎⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣼⣛⡾⣿⣿⠀⢣⠞⣥⡻⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣶⢿⡽⣿⣿⡌⢣⣛⡶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣫⢷⣻⣿⣽⣿⣃⠧⣝⠾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣯⢷⣿⣿⣿⡃⢿⣜⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣻⣿⣿⣿⡝⡶⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿