This video game has to do with a busty mama that loves to attract young individuals. She dresses very magnificently and you need to help the individual attract her. The video game has several settings, this is the classic setting where you can have fun with various girls, as well as the boss setting. The boss is an individual that mosts likely to various places in your city and maintains order. He can penalize you if he sees that you are teasing with any girl. The boss has various benefits, for instance, if you are captured at the crime scene, after that the boss will certainly penalize you and after that you will certainly need to pay him cash. Each time the boss will certainly come later on.
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.
Moonripple Lake is a very gorgeous and remarkable place. It is a small community build around the lake and if you are finally ready to run away the disorderly rhytms of big cities after that this is probably the best option... Well, at the very least that what our number of main personalities thought when they left everything behind and relocated here to begin a brand-new life. New place, brand-new buddies, brand-new adventures, brand-new mysteries and brand-new passion - here their life will certainly be everything but monotonous! Simply do not forget that you can never ever run away from your past completely...
Following the adventures of your favorite anime pirates from "One Item" is enjoyable and all but how ready to take extra energetic component in it? Thats 'appropriate - in our video game you wil become the participant of the fabulous Straw Hat crew and make brand-new buddies or deal with old enemies, discover brand-new territories or attract sweet hotties all on your own! This immersive interactive apology is great mix of aesthetic novel, managment, hentai and roleplay!
Colorful and amusing van shows up following to grimm and creepy old mansion. That's appropriate - the renowned Scooby-Gang goes to another one cirme scene to proove that no issue what kind of beast you heve seen it will certainly constantly be some criminal jerk in rubber mask! This time they are seeking mysteriosuly disapppeared uncle of their buddy but what they will certainly find might change their team forever...
This fascinating online video game presents an engaging narrative about a boy propelled right into a rough brand-new reality. After shedding his previous life of convenience and protection, he arrives in a quiet, small community with absolutely nothing but a vacant pocketbook but a heart packed with hope. The core gameplay fixate this fundamental battle to rebuild from sc***: finding important job, securing a place to call home, and browsing the myriad difficulties that emerge when one is completely alone and beginning again in a place where opportunities might not be instantly noticeable. It explores not simply the physical and financial challenges, but also the social and psychological trip of getting over and forging links difficulty in a brand-new, possibly indifferent, environment.
Originating from a small community does not suggest Becky has no ambitions. Actually it is quite the contrary - she is pretty certain that one day she will certainly become a starlet or a model. And for that she prepares to do virtually anything. She has no big cash or any links but she has big tits and wonderful butt and she is constantly ready to place them right into job if it will certainly make her closer to her desires.
Invite back to the great globe of the fabulous legend! This time you wont be seeing it as a jedi or also as a sith - this time you will certainly play as... royal officer! You have actually simply begun building your job and you are planning to build it much. Are you smart sufficient for all the unique missions that will be given to you? Fragile missions, covert missions, missions with several tenptations? Well, there is just one way to figure out!
We're following along with Fumdux and Kirin as they are heading off to gather a plant for a potion in production for a client, but along the way they are driven into an old castle they have never seen before. Unable to return from the way they came, they have to find a way out!
You need to have guessed that such wonderful appartment was given for such small cost for a factor. And this factor is... weak wall surfaces! Simply one little earthquacke is what needed for you to have an instant roommate. His name is Riley, he is visuals developer, he is cute looking and has very delicate nature. Yeah-yeah, Riley is a perfect femboy. Live with it. Like, actually. You will actually needs to live with this femboy and just your choices will certainly specify what sort of life it is mosting likely to be.
You also obtained tired that Sakura, Hinata and others of Naruto's girlfriend are constantly so right, proper and pollite? Well, in this video game you can finally change that! Become their brand-new sensei and educate these sluts what they actually require to know in this also ruthless and harsh globe where men are thinking just with their fists or their cocks... And be certain to provide sufficient exercising!
You are playing as the personality called Hilbert. Once you were a pokemon trainer though you were constantly extra interested in studying pokemons than to make them deal with. No marvel that hardly any person knows extra about Hypno than you. Hypno is one of leading unsafe pokemons out there and among them obtained unleashed. Currently he threatens the whole Nuvema Community! Can you shield your home town from a disaster to which you have placed your hand back in the days?
The globes of "Character: The Last Airbender" and "Character: The Tale of Korra" have several motivating women personalities. And yes, this inspiration functions for hentai apology genre! In this aesthetic unique mixed with roleplay elements you will certainly meet your favorite women personalities in a brand-new setup of Coal Island - the exotic island which just appears to be a heaven in the world...
Also though Aiko Hisato is a teacher she is still warm looking middle-aged woman that most definitely attracts the attention of several and several eyes throughout her lessons. One of her students appears to be ready to do even more than simply to look. Detailed he is attempting to identify what his favorite teacher sort and what she is interested in. Will he find the course to her heart? Or will obtaining her body and her mind will suffice? From currently on this depends on you!
How can you believe breathing training could be depraved and sensual? Yes! Consider the way to decently do that practice. The big-boobed professor Tsunade along with also her two rebounds Naruto and Sasuke practiced breathing clinic in a clearing. However, these 2 dudes were haunted by thick tits Tsunade. As it'd be good to choose and rather than training to harshly fuck this glorious beauty Tsunade. Accustomed to Naruto and Sasuke poured into a glass of juice sleeping pills. Well, they then began nearing the sleeping Tsunade. Instantly undressing the big-boobed Tsunade, the dudes began the many dissolute portion of the practice - hard intercourse.
Following the title in this video game you will certainly wind up on an island. Not simply any island - this is the island where several popular anime unverses meet! And you? You will certainly meet the hottest chicks from all these universes! For some factor you are the only man around here so do not be so stunned by all the attention you will certainly obtain. And do not allow this attention to sidetrack you from exploring the main mystery of this place. Well, to sidetrack you for too lengthy at the very least.
You consider on your own a big follower of "One Item" universe and you would love to appreciate a gallery of various incredible, fantastic, simply sexy and amusing pictures starring your favorite pirate girls? You will certainly find such gallery right below! Prior to you will certainly obtain accessibility to it you will certainly have to finish a complicated but small quiz examination yet if you are trully the follower of this seires after that it will certainly be quite easy for you!
In this sport you'll find the opportunity to play Samus once more. However, this moment you won't need to assist her to get thru an amout of space experiences, hostile planets and creatures that are dangerous. In this match Sanus will proceed on vaca in look for relaxation on some fairly tropical becah... yet here tentacled creatures live and also this curvy platinum-blonde is very appealing for their own kind! And today whn Samus is catured by numerous tentacles your authentic game will start. It is possible to switch her apperance just a little piece - just check each of the smal icons at the left side of this display. Not to mention you can fuck inside her gash or bum till you'll be prepared to do a pop-shot and put your own cream all over her sexy figure and again (really - after you'll take the explosion it will remain on her once you determine to fuck her once again ).
This game is for everybody who believes that pokemon coach gets right to fuck with a few of her pokemon - because prize for winning a pokemon conflict or simply because she's very promiscuous chick and now there aren't any human men around to fuck with. Anyhow this brief narrative will take place in the bar where our alluring female coach and a few of her sexy pokemons (such as for actual hot - he has a fire searing in the tip of the tail!) Was totaly alone for a couple of mins. Obviously they determined to get a quickie directly here about the bar rack! Watch both of these pervs with romp while their enjoyment meters get bigger. Just activate fresh phases of their sexual activity each time they'll be unlocked and soon you will observe that a culmination - promiscuous coach gets creampied by a single of her pokemons!
Inside this fairly brief and plain game you'll have just one fairly clear objective - to - fuck that the sandy-haired ultra-cutie that's facing you! For that you'll find a set of instruments that you're supposed to work with on different regions of her magnificent bod in a decent purchase whihc you shoudl find out on your own. Once you completed a lot of clicking with a single instrument you need to swicth to a different one so that you could continue to keep the level of sexual enjoyment continuously getting bigger and from that bringing you along with your digital playmate closer and nearer to successful moment. So in case if your deeds isn't making any consequences then attempt to switch the place or switch the instrument you're using - because you will see this game isn't too difficult but also it's not belong to this genre"media button to automatically acquire' either.
Micia that the Catgirl is really a work in progress we hope to arrange at a month's time. It has Micia, a sexy Catgirl, in some doggy-style action. In this fresh scene, we have spent a lot of time on providing Micia a lot of micro animations making her movements very fluid and elaborate in an attempt to really bring her. With this romp scene we also wished to give users the option to choose the expression style through customization choices of eyebrows, eyes and her mouth of Micia. Such as growing sweating and swaying, among matters, we have invested fairly a bit in the main romp animations providing a lot of detail to the invasion sequences. Love;)
A beautiful and huge-chested woman with a gorgeous smile loves to showcase her figure . Consider this promiscuous woman. Her title is Pochako. She's got a good figure, large watermelons along with a ultra-cute grin. Sexy Pochako is definitely prepared to showcase you her hot treasure. Alright, first consider the game display. You notice, the fairly Pochako. She is definitely dressed in a lot of clothes. Let us do it to you. To begin with, examine the manage panel to the right side of this display. Click on the icon. Subsequently adorable Pochako will switch sexy pose. Choose the one that you like best. Then click the triangle on the right side of this display and you'll see just how Pochako undress. Hit a couple occasions and you'll see how Pochako fucks her tight gash with a large electro-hitachi. So it is time to get indecent romp.
Discussion: Total Comments : 2
madcummer:
made me fuck my mom and cum in her ass and mouth
Justarandom901:
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠛⠛⢻⣿⣿⠁⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⢨⣿⣿⡀⠀⠂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣿⣿⡇⠀⠄⠻⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠋⠉⢻⣿⡇⠀⠀⠀⢻⣿⡇⠀⠀⠀⢹⣿⣿⣿⣿⣿⡿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠸⣿⣷⠀⠀⠀⠘⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⠃⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢠⢻⣿⣿⣿⣿⣿⡇⠀⢢⢿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠀⣿⣷⠀⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⠏⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⣌⣿⣿⣿⣿⣿⡇⠀⠀⢻⣿⣿⡄⠘⣻⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠀⢹⣿⠀⠀⠀⠀⣾⡇⠀⠀⠀⢸⣿⣿⣿⡏⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢻⠌⢻⣿⣿⣿⡇⠀⠁⣐⣿⣿⣇⠘⢸⣿⣿⣿⣿⣿⣿ ⣿⡷⠀⠀⠀⠀⢿⡆⠀⠀⠀⣿⣇⠀⠀⠀⣿⣿⣿⡟⠀⠀⠀⢂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢧⡊⢿⣿⣿⡇⠀⠀⠀⢻⣿⣿⠀⠠⣿⣿⣿⠉⠛⣿ ⣿⣿⠀⠀⠀⠀⣿⠇⠀⠀⠀⠈⠁⠀⠀⠀⠈⠛⠛⠁⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠉⢀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠒⠭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣻⣿⣿⣽⣾⣿⣿⣿⣿⣟⣿⣿⣾⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢫⡽⣿⣷⠀⠀⠀⢨⣿⣿⠀⠀⢹⣿⣯⠀⢈⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠘⢦⡀⢀⠀⡄⠀⠀⢤⡀⠄⡄⠻⢼⢧⡿⣿⣿⣿⡿⣿⣿⡿⣿⣟⣿⣿⣧⣿⣿⣿⢿⣟⣿⣧⣷⣿⣿⣿⡿⣿⣿⣿⢿⣿⣻⣿⣿⣿⢿⣿⣿⣼⣾⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⣷⣿⣿⣆⠀⠀⠀⢿⣿⡀⠀⣸⣿⣧⠆⠘⣿ ⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠈⠂⠀⠈⠛⣀⠻⢄⠦⣭⢲⡅⣸⡘⢿⣼⣶⣙⣳⣏⣿⣽⡿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣻⣿⣿⣿⡿⣿⣻⣽⣿⣿⣿⣯⣿⣿⢿⣟⣿⣷⣿⡿⣟⣯⣿⣿⢿⣿⣿⣿⢿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠑⠈⠈⠉⠉⠀⠀⠀⠀⠙⠳⠀⢽⣿⣿⠀⢈⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡀⣒⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢠⡀⢌⢣⡟⡞⢯⣞⡷⣿⣿⣿⣿⣿⣷⣽⡞⣷⣿⣿⢿⣽⣾⣿⣿⣿⢿⣿⣿⣿⣻⣽⣿⡿⣿⣿⣻⣾⣷⡿⣿⣾⣿⣿⣻⣽⣾⣿⣿⡿⣿⣻⣿⡿⣷⣿⣿⣿⢿⣟⣿⣾⣿⣿⣿⣯⣿⣿⣿⣿⣻⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⢹⣶⣾⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⠁⠈⠀⠹⣦⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢆⡘⢦⠹⣜⠳⢮⡝⣷⣻⢿⣿⣿⣿⣿⣿⣯⣿⣾⣿⣿⣯⣷⣿⢿⣿⣻⣷⣿⢿⣿⣽⡿⣿⣽⣿⣻⣾⢿⣿⣽⣾⣟⣿⡿⣽⣾⣟⣿⡿⣟⣿⣿⣟⣯⣿⣾⣿⣿⡿⣿⣽⣾⣿⢿⣟⣯⣷⣿⣿⣟⣾⣿⡇⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠟⡽⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢮⣻⣿⣿⣿⡿⠿⠟⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠜⡠⠚⢤⢋⡜⢣⠹⣜⡱⢯⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⣿⣿⣽⣿⣻⣟⣿⣽⣾⣿⣻⣾⢿⣟⣯⣷⣿⣻⡿⣯⣿⣳⣿⣯⣿⣟⣯⣿⢿⣽⣿⢿⣳⣿⣿⣻⣽⣷⡿⣿⣿⢿⣻⣽⣿⣿⠿⠟⠿⠿⣾⣿⢾⣧⠀⢰⡧⠀⠠⣤⡄⠀⠀⠀⠀⠀⠀⠘⠁⠐⠸⣿ ⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠈⠉⠀⠀⠀⠀⠀⠈⢡⡙⣼⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠠⢉⠆⠡⠏⠐⠆⠌⠢⡑⠌⠼⡹⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣟⣯⣿⢯⣷⣿⣻⣽⣿⣻⡿⣽⣾⢿⣽⣿⣳⡿⣷⣻⣷⣻⣽⣾⢿⣻⣾⢿⣟⣷⣿⣻⣯⣿⣟⣿⣽⡿⣿⡟⠋⠀⠀⢀⡀⣆⣵⣻⣿⣿⣤⠟⠁⠀⢴⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠤⠡⠌⠸⠀⠌⡀⠙⠌⡒⠱⣙⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⡽⣿⣻⢾⣯⣷⢿⣳⡿⣿⡾⣟⣿⢾⣻⣽⡿⣽⣾⢯⣷⢿⣻⣯⢿⣻⣯⣿⢾⡿⣽⣷⡿⣯⣿⣟⣿⣧⣼⣿⣿⣿⣿⣶⣾⣵⣾⣿⣿⣿⣦⡀⢸⡿⢟⣢⣤⡄⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠠⠁⠐⠀⠀⠀⠀⢄⠑⡾⢾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢷⣯⢿⣻⣽⣯⢷⣯⣟⣯⢿⡷⣟⣿⣽⣻⢯⣷⢿⣻⡾⣿⣽⣻⢷⣻⣟⣯⡷⣟⣿⣻⣟⣾⢿⣻⡷⣿⣻⣟⡿⣿⣽⣻⣟⣿⣿⣿⣇⠞⡩⢓⡈⣿⡄⣴⡏⢱⣿⣿⣶⡄⠀⠀⠀⠀⠠⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⣤⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⣌⠰⠄⠀⠀⠀⠀⣀⣈⣴⣩⣿⣷⣭⣻⣿⣿⣿⣿⣿⣿⣿⣿⣞⣯⣟⣯⣟⡾⣽⣻⢾⡽⣾⣻⣽⣻⣞⣷⣻⢯⣟⡿⣽⣻⢷⣯⣟⣯⣷⣻⢷⣻⢯⡷⣿⡽⣯⡿⣯⣟⣷⢿⣽⣻⢷⣯⢷⣯⢷⣻⢿⣎⣃⣀⣹⣴⢿⡁⢿⠁⣾⣿⣿⣿⡷⠀⠀⠀⠀⣿⣿ ⣿⣿⣿⡂⠀⠀⠀⣀⠐⠂⠀⠀⡀⠀⠀⢀⠠⣄⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣠⣞⣷⣾⣿⣿⣿⣽⢎⠰⠁⠀⣶⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣳⣟⡾⣽⣻⢷⣯⢿⣽⣳⣟⣾⣳⣟⡾⣽⢯⡿⣽⢯⣟⡿⣾⡽⣞⡷⣯⢿⡽⣯⣟⡷⣿⣽⣻⢷⣯⣟⡿⣾⣽⣻⣞⡿⣞⣯⣟⣯⢿⣿⡿⣿⣿⣋⣠⢞⣾⣿⢿⣿⣿⢃⣼⡄⠀⢰⣿⣿ ⣿⣿⣿⠄⠀⠀⠁⠒⠒⠀⠘⠒⢝⠳⢆⣢⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣴⣿⣻⣻⣽⣯⣟⣫⡽⣿⠷⠀⠈⣿⣿⣿⣿⣿⡿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢶⣻⢾⣽⣳⢯⣟⣾⡻⣞⣷⣻⣞⡷⣯⢿⡽⣯⢿⣽⣻⢾⣽⣳⢿⣽⣻⡽⣯⣟⡷⣯⣟⡷⣯⣟⡿⣾⣽⣻⠷⣯⢷⡯⢿⡽⣞⡽⣞⡿⣞⣿⣮⠿⡿⢋⣿⠟⣫⣾⣿⣿⣿⣿⡀⢠⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢰⣿⣿⣿⣽⣾⣿⣿⣿⠿⠛⠀⠀⢀⠸⣿⣿⡿⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣯⢷⣯⣽⡻⣞⣷⢻⡽⣞⣵⣻⢾⣽⣫⢿⡽⣻⢾⣽⣻⠾⣽⢯⣞⣷⡻⣷⢯⣟⡷⢯⣟⡷⣯⣟⡷⣽⣳⢿⡽⣳⡟⣯⡽⢯⣽⢻⣼⢻⣼⣻⣯⠛⣿⣷⠿⡿⢟⣿⣿⠋⢠⠁⢸⣽⣿⣿ ⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⣤⡀⠀⠀⠀⠀⣨⣿⠟⠉⠁⠛⠋⠣⢄⡾⠁⠀⢤⠈⠱⣿⣿⣷⣄⢀⣀⡰⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡼⡽⣞⡶⣯⣽⢻⡼⣏⣿⣹⠾⣭⢷⡾⣝⣯⡽⣏⡿⡶⢯⣿⡹⣟⡾⣳⢿⣹⢾⡽⣞⣿⣺⣽⣳⢯⣽⣳⢟⡾⣽⢳⣻⡵⣻⡝⣮⢟⣼⣛⡶⣏⢿⣦⢨⣷⠶⠋⣩⠟⠁⠀⠀⠂⡼⣿⣿⣿ ⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠌⠐⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠙⣆⠀⠀⠀⠈⠛⠒⣏⣁⣠⣤⣿⠟⠁⠀⣠⠞⠓⠀⠙⣿⣿⣿⡒⠨⠵⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣵⢻⣝⡾⣵⣫⡟⣽⡽⢶⣏⡿⣝⣳⢯⣻⢼⣳⢯⣽⣛⡟⣶⣻⣭⢷⢯⣏⡿⡽⢾⡽⢶⣛⡶⢯⣟⡶⣏⣯⢟⡼⣏⡷⣹⢧⡻⣵⢫⡞⣵⢻⡜⣯⢾⣇⠻⠒⠂⠀⠀⠀⠀⢠⡃⢸⣕⣾⣿ ⣿⣟⠀⠀⠀⠀⠀⣀⣀⣀⣸⣤⣡⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⡿⢀⣾⠀⠀⠀⠀⠀⠒⠋⢛⡛⠋⠁⠀⠀⣸⠃⠀⠀⠀⠀⢸⣿⣿⣧⣌⠓⡱⣄⢱⣫⣿⣿⣿⣿⣿⣿⣟⡼⢧⣻⡼⢧⣗⣻⡵⣻⢽⡺⣽⢭⣛⡾⣵⣛⡮⣟⢶⣫⡽⣳⢧⣯⢻⡾⣹⠾⡽⣯⠽⣏⣯⢽⣛⣮⢷⡻⣼⢫⡽⣞⡽⣹⢞⡵⣫⢷⡹⣎⢷⡹⣎⣟⣿⣦⣤⣼⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿ ⣿⠧⣧⣠⠖⡧⣛⢯⡻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣷⡁⢸⡇⠀⠀⠀⠀⠀⠠⡌⢂⣰⡄⠉⣠⣼⠋⣀⣤⡀⢀⣤⣾⣿⣿⣿⣿⣷⣵⣮⣷⣿⣿⣿⣿⣿⣿⣿⡷⣹⣛⢶⡻⣝⡮⢷⣹⠽⣞⣽⢺⣭⢷⡹⣖⢯⡳⡽⣎⡷⣝⡳⢯⡞⣭⢷⣫⢟⣳⡭⣟⡳⢾⣭⡳⣽⣚⠷⣭⢏⡷⣹⢞⡵⣫⢞⡵⣋⢷⡹⣎⢷⡹⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⢹⣷⢃⣏⢲⡍⣶⡹⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡿⣿⣷⠈⠷⡄⠀⠀⠀⠀⠐⣬⠟⢁⣴⣾⠟⠉⠐⠿⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣧⣛⢮⣗⡻⣜⢯⡞⣽⢺⡜⣧⣛⢮⡗⣯⢞⡵⣻⣜⡳⣭⣛⢧⡻⣝⢮⡳⣏⢾⡱⢯⣝⡳⣎⢷⣣⢏⡟⣾⡹⣞⡵⣫⢞⡵⣫⢞⡽⣎⢷⡹⣎⠷⣭⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿ ⣯⢺⣿⢢⢌⣣⡜⣧⡟⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⣧⠰⣾⠀⠀⠀⠀⠔⠃⢀⣟⣵⠋⠀⠀⠀⠀⠀⡀⠌⠈⢛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣜⢧⣛⠾⣜⡳⣝⢮⡝⣞⢧⡻⣵⢫⡞⡽⣎⠿⣜⡳⣎⢷⣣⠟⣮⢳⡝⣮⢳⡝⣮⡝⣳⢎⡷⣹⢎⢷⣫⢞⡵⣛⡼⣺⠵⣫⢞⡵⣫⢞⡝⣮⢳⣭⠻⣵⢫⡟⣻⣯⣭⣭⣥⣤⣤⣦⣤⣤⣶⣿ ⣧⣿⡟⣆⡚⠴⡛⢶⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣟⣿⡿⣿⣾⣟⣿⡄⠀⡄⠀⠀⠀⠀⠀⣏⠛⢀⠂⡁⠀⢀⣀⢀⣤⣴⣬⣾⣮⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡳⣝⢮⣝⡻⣜⡳⣝⢮⡝⣮⢳⡝⣮⢳⡝⣣⢏⡟⣼⢳⡹⢶⣙⠾⣱⢏⢾⡱⢏⣞⡱⡞⡵⣫⡜⢧⣛⢮⡖⢯⢞⡱⣏⡳⣝⢧⡻⣜⢧⡻⣜⠧⣏⣖⢻⡜⢧⣻⣿⡿⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣿⠟⡰⣍⠳⣽⢣⣟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣻⣿⣿⢿⣷⣿⢿⣷⣬⣧⠀⠀⢠⡄⠀⠈⢡⣦⣷⠾⠿⠟⠛⠋⠋⠙⠉⠛⣛⡿⣿⣿⣿⠟⢠⣿⣿⣿⣿⣿⠷⣎⢷⡹⣞⡼⢣⣏⠷⣹⠮⣝⣎⠷⣹⠲⣏⡼⣣⠟⣼⢣⣏⢽⣚⣬⡛⡵⣎⢧⢫⡝⢦⣛⠼⣳⢱⣚⠧⣝⡲⣝⢫⡎⠷⣍⡳⣭⠞⣵⣋⢾⡱⣭⢛⡖⢮⣓⡞⢧⣽⣿⣿⣿⢿⣻⣿⣟⣿⣿⣿⣿⣿ ⣿⣿⣮⣵⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣻⣿⢿⣾⣿⣻⣿⣿⣧⠀⠘⢧⡀⢠⣷⠏⢀⡀⠀⠀⠀⢀⡀⠄⠤⢦⣳⣿⣿⣿⣿⣇⣰⣿⣿⣿⣿⣏⡟⣮⢳⡝⣶⢹⣓⢮⡝⢧⢻⠼⣜⣭⢓⡻⣌⡗⢧⡻⢬⣓⢮⠳⡜⣦⢛⡵⢎⢧⢫⡜⡳⢬⡛⢶⣩⠮⣝⡲⡝⣜⣣⢝⣫⠜⣧⢓⡻⢦⣹⢲⣙⢦⣛⡼⢣⣓⢞⡱⣺⣿⣿⣯⣿⣟⣾⣻⢯⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⣿⣿⣟⣿⣽⣿⢿⣿⣻⣾⢿⣽⣻⣿⣷⠄⡉⣥⢘⠲⠌⡀⠀⡁⠀⠈⠁⠀⠀⠐⣢⢿⣾⣻⣿⣿⣿⣿⣿⣿⣿⣟⡼⣹⢎⡷⣹⢬⡳⢎⣳⠺⣍⢧⣛⡜⢦⢏⡵⣚⡼⢣⡝⢧⠞⡼⣩⠳⣜⢣⠞⡭⢎⡳⡜⣭⢣⡝⢦⢣⡛⡴⡹⡜⣎⠶⣩⢖⡫⢖⡫⢵⢣⢇⠯⣜⡲⣱⢚⢧⡙⢮⢵⣿⣿⣿⣿⣷⣿⢯⣟⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣟⣿⣿⣻⣿⣽⣿⣻⣯⡿⣻⠀⠈⢻⣯⡱⣀⣄⡁⢀⠠⢄⡠⣠⣄⣻⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡱⣏⡞⣥⢳⡭⣛⣬⠳⣍⠶⣣⠞⣭⡚⡴⢣⡝⣣⢞⡱⣫⢕⡣⢟⡬⢣⡛⣜⢣⢳⡙⢦⠳⡜⣭⢲⡙⢶⡱⡹⣌⢳⡱⢎⡵⢫⡜⣣⢏⣎⠳⣎⠵⣣⢏⠶⣙⢮⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣽⣿⣽⣾⣿⡽⠋⣰⣿⠀⡄⢤⡙⠷⣿⣿⣿⣷⣾⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⡸⢇⡯⢶⡍⣖⠻⣌⠷⣱⢋⠶⡹⣜⢣⢞⡱⢎⡵⢣⢎⡵⢫⡜⣣⠝⣬⢣⢧⡙⣎⢳⡹⣰⢣⠝⡦⢓⡵⣊⢇⠧⣋⢖⡣⢞⡡⢞⢬⠳⣌⢳⡱⣊⢳⢩⢲⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⡿⡿⢿⠿⡿⢿⠿⠿⠿⠿⡿⢿⠿⡿⢿⠿⢟⠿⣛⠿⠿⠿⠿⠿⢿⡿⣿⣯⣿⡷⠟⣁⡴⢋⣿⣿⡆⢿⣴⣿⣶⣬⣿⢿⢿⡿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⡞⣭⠳⣍⠞⣥⣋⢗⡳⣌⠷⡪⣕⢫⡔⣫⢚⡜⢣⠞⣱⠚⡴⢣⢎⡵⢊⢧⠲⢥⡓⢮⢱⢋⡔⢣⢎⢣⡍⡲⣉⠶⡙⡬⢎⠵⢪⣑⢲⣉⠮⣑⢣⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠙⠙⠛⠛⠿⢻⡏⣱⣿⣿⣿⣜⣳⣎⠷⣼⣫⣶⣳⣟⡶⣳⣶⣼⣚⣧⣾⣿⠿⣿⣮⣿⣟⣻⣦⣧⢳⡶⢦⣤⡖⡛⢩⡔⢸⣿⣿⣿⣎⡙⣛⠏⠙⠛⠻⢷⣶⣦⣌⣓⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣚⡑⣎⠣⣱⣬⣷⣿⣾⣿⣾⣿⣿⣾⣿⣿⣶⣯⣿⣷⣮⡖⣩⠲⣙⠦⡙⢦⡉⠶⡘⢥⢪⠱⡌⠵⣘⠲⣍⠲⣉⠮⡱⢌⡆⢳⡸⢡⡓⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⣀⣾⢁⣶⣿⣿⣿⡾⣷⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⡿⣾⣿⣶⣹⣏⣿⣱⢏⣹⣷⣿⣷⢾⣷⢿⠸⣇⢹⣿⣿⣿⣿⣷⡉⠀⠀⢀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠹⣰⢇⠹⢆⠹⣆⠹⢆⠇⢷⡈⢷⡈⢷⠈⢷⡈⢶⢁⢇⡎⣱⠈⣇⢉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⣸⣿⡄⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣽⣯⣿⢻⡇⣿⣾⣿⣿⣿⣿⣿⡇⠀⡀⢌⢲⠠⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣦⡎⢓⢎⡱⢌⠚⣌⠚⡴⢘⢢⡉⢦⡙⠦⡘⢦⡉⢖⡸⢄⠫⡔⡩⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢻⣿⣿⣿⣿⣿⣿⡀⢠⠵⣈⢦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡶⢶⡍⢎⡰⢩⠰⡉⢆⠜⡰⡘⠴⣉⠦⡘⢦⡑⢎⡱⢌⡡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣿⣿⣿⣿⣿⣿⣿⣧⣩⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣿⣶⡈⢇⡒⠅⡎⠬⡑⣘⠒⡰⢌⠱⢂⡍⡒⠴⡈⠖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣞⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡰⢌⠚⡄⢣⠜⡠⢣⠑⣌⡘⢢⠔⡱⢨⡑⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣫⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣷⣼⣤⣧⣜⣠⠜⠢⠜⡰⣁⠲⢄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⢿⣿⣿⢀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣴⣨⣑⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⢻⣿⢘⣿⣿⡈⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣽⣾⣯⣿⣿⣿⢨⣿⣿⡅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣻⣽⣾⣻⡷⣿⣧⣿⣿⡇⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣻⣯⣿⡽⣿⣷⣻⣿⡗⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣿⣿⣷⣿⣿⢯⣷⣿⡇⢼⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡧⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡛⡿⠿⢿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣻⣽⣾⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠎⣽⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⡿⠿⠿⠿⢿⣿⣿⣻⣾⡿⠿⠿⢿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⡾⢿⣿⣿⣿⣻⡿⠿⣿⣿⣿⠿⢾⣿⢿⠿⠿⠿⠿⠿⢿⣿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠈⢿⣿⣿⡇⠠⣤⣤⣄⠈⢻⣿⠁⢠⣴⣤⡀⠘⣿⠟⠁⣠⣤⣄⠈⢻⣿⠄⠀⣿⣿⣿⣿⠄⠀⣿⣿⣿⠀⢰⣿⣤⣤⡄⠀⣤⣤⣴⡇⠀⢠⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⡀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⡤⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡳⣌⢿⣿⣿⣍⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣼⡀⠸⣿⣿⡇⠀⠻⠟⠛⢀⣾⣿⣄⠈⠛⠻⢿⣿⣿⠀⢸⣿⣿⣿⡆⠀⣿⠇⠀⣿⣿⣿⣿⠂⠀⣿⣿⣿⠀⠠⣿⣿⣿⡅⠀⣿⣿⣿⡇⠀⠸⠟⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⢄⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢬⣾⣟⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢊⣯⣿⣿⣿⣷⡄⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⠛⠓⠀⠹⣿⡇⠀⣶⣶⣶⠀⢹⡿⠿⣷⣶⣤⡀⠙⣿⠀⠘⣿⣿⣿⠃⠀⣿⠁⠀⣿⣿⣿⣿⡃⠀⣿⣿⣿⠀⠀⣿⣾⢿⡆⠀⣿⣿⣿⡇⠀⢱⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠌⡠⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢱⣟⣧⡿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡟⣼⣿⣿⣿⣿⣿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⣷⣶⣶⣆⠀⢻⡇⠀⠙⠛⠉⣀⣼⣷⣀⠈⠛⠛⠁⣠⣿⣧⡀⠉⠛⠉⢀⣼⣿⡀⠀⠙⠋⠛⢹⣧⣀⠘⠛⠋⢀⣼⣿⣷⣻⡇⠀⣿⣿⣿⣇⠀⠘⠋⠛⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠠⠐⠈⣀⢂⠱⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⢣⣟⡿⣞⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢨⠐⠠⠐⠠⢌⠂⠀⠀⠀⠀⠀⠀⠀⡡⠂⡍⢶⣿⣻⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⣟⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠔⡂⠌⢠⠁⢎⡘⠀⠀⠀⠀⠀⠀⠠⠁⠤⢱⡘⣾⣿⣟⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠉⠉⠉⠉⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠛⠋⠛⣿⣿⣿⣿⡟⠛⠉⠛⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠋⠛⠙⠙⣿⣿⣾⣿⡋⠛⠙⠋⠋⠉⠋⠙⠉⠋⠉⠉⠉⠙⠙⠋⣿⣿⣿⠛⠋⠉⠙⠉⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠉⠛⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠋⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠜⡐⠌⡄⢊⠴⡉⠀⠀⠀⠀⠀⠀⠄⡉⠦⣡⢛⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⡿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⣊⠔⡡⠘⣌⠲⡁⠀⠀⠀⠀⠀⢈⡐⢠⠓⣬⢏⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣤⣶⣿⣷⣶⣦⣄⠀⠀⠀⠀⠙⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣽⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⢢⠑⡄⠳⣌⠣⠀⠀⠀⠀⠀⡀⠂⡔⢡⢚⣜⣫⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢠⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢰⡀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⡿⢈⢆⡱⢨⡑⠦⠁⠀⠀⠀⠀⠀⠄⢃⡘⢤⢫⡼⣹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣴⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⡆⠀⠀⠀⠀⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⡆⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣾⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⡇⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⡟⢠⡎⡔⢣⡝⡌⠀⠀⠀⠀⠀⠐⠈⡆⠘⣦⢳⡝⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣄⠀⠀⠀⠀⢻⣿⣾⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⠀⠀⠀⠀⠸⣷⠀⠀⠀⠸⣿⣿⣿⣿⣿⠇⠀⠀⠀⣰⡧⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣸⣿⣿⡀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣗⠨⡔⣡⠏⢶⡁⠀⠀⠀⠀⠀⠑⡂⢌⡱⣘⢮⢷⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣦⠀⠀⠀⠀⠹⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠸⣿⣿⣿⡏⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢠⣿⣿⣿⣧⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣆⡱⢆⡛⣦⠅⠀⠀⠀⠀⡐⢂⠱⣈⠖⣭⣞⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣧⡀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠄⠀⠀⠀⠀⣴⡤⢤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⢹⣿⡿⠁⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣾⣿⣿⣿⣿⣆⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣷⡘⢮⡱⣎⠇⠀⠀⠀⠀⡐⢂⠱⡌⢞⡴⣫⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠿⠛⠿⢻⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣷⡄⠀⠀⠀⠈⠂⠀⠀⠀⠀⣿⣿⣿⣿⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⡀⠀⠀⠀⢿⠃⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⣹⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠈⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡥⢳⡹⣎⡇⠀⠀⠀⢀⠰⣈⠒⣍⠞⣼⣳⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣽⣿⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡇⠀⠀⠀⠀⢼⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣇⡳⣝⠾⡅⠀⠀⠀⢌⢶⡠⣙⢬⢻⣼⣳⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠙⠻⠿⠿⠿⠛⠁⠀⠀⠀⠀⣠⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⢿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠻⣿⣿⣿⣿⡧⣹⢮⣟⡇⠀⠀⣈⠞⣣⡗⡌⡞⣧⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢻⣿⣿⣿⡳⣝⡞⣾⡇⠀⢠⠱⣞⡳⣿⢌⡳⣝⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⣀⣀⣀⣠⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣿⣿⣿⣿⣧⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣿⣿⣿⣿⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣾⣿⣿⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣤⣤⣤⣼⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣾⣿⣿⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣿⣿⣿⣱⢏⣾⢿⡗⠀⢢⡝⣲⡝⣿⢎⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣼⣛⡾⣿⣿⠀⢣⠞⣥⡻⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣶⢿⡽⣿⣿⡌⢣⣛⡶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣫⢷⣻⣿⣽⣿⣃⠧⣝⠾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣯⢷⣿⣿⣿⡃⢿⣜⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣻⣿⣿⣿⡝⡶⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿