This game is regarding a busty mommy who likes to seduce young people. She gowns extremely wonderfully as well as you have to assist the person seduce her. The game has a number of modes, this is the traditional mode where you can play with different women, in addition to in charge mode. In charge is a person who goes to different locations in your city as well as keeps order. If he sees that you are flirting with any type of woman, he can punish you. In charge has different bonus offers, for instance, if you are caught at the criminal offense scene, then in charge will punish you and after that you will have to pay him money. Each time 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.
From the extremely beginning Insouke had a feeling that he is right here for a reason. First the indications were barely noticable, barely getting together yet the more epxlorations Inosuke made the a lot more evident it was ending up being - this location has lots of tricks and all these tricks are linked with his. Though don't expect this experience on the planet of "Devil Slayer" will be only grimm - this popular anime world has a great deal of beautiful female characters and they all have filthy tricks you need to check out also!
You have no concept what kind of demonic games you got involved into but one of these randy bitches has actually sended you back in time! Just how can you leave this weird period and obtain back right into your own? Only by discovering the appropriate connections between 2 times and using them as your benefit altering the weights of equilibrium between human beings and devils in this battle that chooses numerous centuries...
"Pocket Waifu" provides a basic however direct facility: it's an idle game centered around gathering and establishing connections with different "waifus." Gameplay revolves around leveling up these characters, with the main benefit being the unlocking of new sensual scenes and attires. The core loop is focused on progression and visual gratification, attracting players who take pleasure in gathering and seeing concrete results from their investment of time, even if that investment is mostly passive.
New mystical organization increases up from the shadow to take contorl over the world with taking control over people's wishes. And who could stop them aside from three hot chicks in vibrant and tight latex bodysuits? That's ideal - Alex, Sam and Clover are back in action! And this time around they will have to utilize not only their spy devices however likewise their personal possessions in this difficult game of supremacy and submission...
To complete the task of discovering women for your manager, you will need to begin on an exhilarating city-wide experience. The very first stop on your journey is the regional cinema, where the most recent superhero film, The Incredibles, is currently playing. Your goal is to discover Violet Parr, the undetectable teen 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 displays amazing capabilities, such as invisibility. When you have effectively determined Violet, you will need to approach her and strike up a conversation. Make sure to discuss your adoration for her superhero capabilities and reveal your manager's rate of interest in satisfying her. If Violet consents to satisfy your manager, make certain to get her get in touch with info and set up a time and location for the introduction.
Your life is regarding to alter. Regardless of want it or not. The important things is your daddy make a decision to marry when again which indicates your home is regarding to get quite crowded since you will get not only step-mom however likewise three (yes, three!) step-sisters! So the location that you when called home become a nuthouse and the only thing that might assist you to accept this new truth is sex...
Your track record precedes you so not surprising that that you got the location at epic Beacon Academy without any type of difficulties. However are you sure that you can deal with new generation of hunters and particularly huntersses when a few of them can be much more hazardous than some monsters? Will you keep your sessions strictly expert? Or will you use your authroity in the methods that you are not meant to? Something tells us that you already understand the responses for all these concerns...
Just yesterday you were an uninteresting person living your broing life and today you are battling cirminals with superpowers as the member of superheroic team! Yeah, you never understand what will occur whenever you will go out in the street. Enter difficulties? Inspect! Get saved by busty superheroine in latex costume? Inspect! Turn all the superpowered women in your method into your own personal superbitches? Inspect, inspect, inspect!
End up being the ordinary person who is regarding to get dragged into the most interesting experience of your life - tonight beautiful woman will knock into your door and for the length of time she will stay depends only on yourself! However why did we called it as "experience"? The important things is your midnight guest is really non aside from popular killer woman Yor Forger from popular series "Spy x Household"!
It's been a while since Steven's most recent adventures with gems, but it's really difficult to forget a collection of beautiful, unique women. To fix this, Steven plans to visit his old pals from his, but on the way there, he stops at an extremely bizarre museum in which he's not just going to meet two stunning gem-girls, but also keep his favorite girls from a different side!
This game is a very interesting experiment in genre of text games but don't worry - you will get the opportunity to enjoy some graphics too. If you don't mind of some gay-oriented manga porn scenes ofcourse. The story embarks at some dirty and seems to be desrted city street where our main character meets Angel who is not some mythical angel but just quite lovely looking boy with blonde hairs and loev for lovemaking and currency. Now you can choose what will happen between them next by making choices depending not only on what you want to see next but also on the amount of cash you have left. Game is not going to take too much of your time for one walkthrough so you could easily replay it couple more times with alternative decisions if you get interested.
There were time when human race was weak. But they kept battling for survival and then come to be the dominant race around. Ofcourse this would certainly not be possible without the godlike entity's interruption. Currently elves and other animals are existing only in misconceptions and legends. Or at leats it was by doing this till the recent occasions. You were simply expected to claim an inheritance left by your mother but in order to do that you have to discover your real nature. And it appears that your heritage has even more keys than the history of the globe itself...
You are an ordinary person who is drinking this night with his ordinary friends at the ordinary bar. And soon you are going to miss all the important things ordinary - right right now when you get absorbed by the inexplicably opened website! You end up in a new world full of magic and battles, experiences and... great deals of busty hotties! Who needs to be ordinary anyway when you can end up being the absolutely new hero of "Fairy Tail" saga?
Funny and vibrant van appears beside grimm and weird old estate. That's ideal - the popular Scooby-Gang is at one more one cirme scene to proove that regardless of what type of monster you heve seen it will always be some criminal jerk in rubber mask! This time around they are trying to find mysteriosuly disapppeared uncle of their friend however what they will discover may alter their group permanently...
In this adult memory game your task is to match cards to unlock new Futurama cartoon sex pictures. Game difficulty is constantly rising round by round. Act quickly and remember pictures to pass the level.
This interactive and space flash game with superb flash animation and customization will tell you the story of Paul Atreides. This game is based upon the movie"Dune", in which the struggle is between three military factions for spice. The act of the"dune" takes place in the galaxy of the distant future under the rule of this interstellar empire, in which feudal families own whole planets. In the deserts of this distant planet Arrakis produce a type of substance -"spice", indispensable for space flights. Examine the game screen and inspect game objects. Talk to the Duke to get the mission. Get your very first job and embark on a journey. Needless to say, in this flash game, along with venture, sexual rewards await you. After completing the missions, you can go to the pub and meet busty women who want to have sex with you there. So research, kill, promote and fuck. Make sure that only your faction has spice. Do it instantly.
Trainings and battles, battles and tainings... But have you ever wondered what could youthful and total of life girl as D.Va do to relax in between those trainings and those battles? Well, here is a hint for you - she will still be using her mech for that! Still have no ideas and even the fact that you have found this game on anime porn oriented website doesn't make the bell ring? Then you have to experience this interactive parody by yourself and you will see that D.Va's mech is good not only for destruction and predominance but for stress revealing as well! The gameplay and control scheme are pretty elementary and focused on romp scenes so you won't be having any issues with completeing this game even if you are not so very good at playing the original"Overwatch" videogame.
The story embarks with lovely looking elven chick waking up inside the spaceship run away after the crash. Now she is alone on the hostile planet which is packed with all kinds of enemies which she will have to fight her way through while searching for help and may be some surviovors. The problem is that if her enemies will capture then she is fucked up... literally! That's why she will have to use all of her acrobatic talents and lightning shooting skills - from being fucked till death to protect herself. However a couple of times you can let her to have some kinky fun... Even however this is a hentai game it is not going to be an easy ride for the player since here you will need all the skills which you usually need in any other platfromer genre videogames.
Blond and sexy Tina Armstrong found herself in an amusement park on the coast. She sat down, took a boat ride and is extremely attractive. It's time to deliver the boat to its owner. Tina Armstrong enters the barn and is greeted by strong Latinos. Mm.. she certainly liked him. Tina Armstrong twists her ass and charms an Latin American. The dude then approaches the blonde, and tears away the girl's bra. Tina Armstrong's enormous watermelon are clearly visible. The man begins massaging and spanking them. He also licks his pink nibbles and bites them. Then, he puts Tina Armstrong on the barn floor. Then he starts to fuck her female sexy body wildly. Tina Armstrong moans from wild sexual sex, and then reaches for an orgasm. The man filled Tina Armstrong's body with tons of sperm before leaving. The woman lies on the floor and shakes in the midst of sexual encounters.
Ben and Gwen are resting in a small cabin in the forest. Gwen is sleeping, and Ben is watching TV. But his gawp glides over Gwen's figure. Ben particularly likes Gwen's saucy and rock-hard bootie. Ben is unable to stand against sexual desire and embarks to stroke Gwen's bootie. The girl wakes up. She seems to like what Ben is currently doing. Gwen picks a T-shirt up and Ben sees her saucy youthful peaches. Ben licks her pink puffies and bites them. Then Ben takes off her leggings from Gwen and embarks to lick her pink cunt. Gwen groans with delight. She wants a big sweetie. Ben gives the girl an opportunity. Gwen gives a dude a suck off, and then Ben fucks Gwen in a pink hole. So let's begin the game to find out what will happen next.
Redhead pirate girl Nami got herslef into pretty cock-squeezing situation this time. Not only she got caught and tied up but someone also took away all of her clothes. And what can do hot girl being nude on a pirate ship? Only to be a fantastic plaything for all the dicks who comes by! Her big kinks make dicks hard and her tits seems to be a ideal for satisfying ther needs. Experince payback in pirate style! Watch Nami's good looking tits are being fucked without a stop or witness her lovely pink honeypot getting more and more humid - obviously she gets excited non the less than you do! This little episode of Nami's life is changed by your will - one click and now some priarte dick fucks not her tits but her thirsty mouth! Hold her using a cumload and check how humid her honeypot become after this!
Busty Samus was taken prisoner. She tied up and was caught by some depraved maniac. Now he will mock Samus. To do this, use the mouse. Just stir the mouse over the part of the figure and you'll see how the cursor changes. It can be a hitachi or massage pouch or something else. Then pay attention to the indicator on the right of the screen. Your aim is to pack it 100%. After that you are able to undress the busty Samus and fuck her in a taut poon and a round caboose. Enjoy this debauched story now - Samus is waiting for your attention!
A bit of a bizarre video game. The woman with a full stomach is a huge fan of horses. She especially enjoys the planning of a huge horse cock. In this game on the internet, you can see this sexy girl fucks horses. To begin she takes off her clothes. Just look at her massive tits and the wet, swollen pussy. The woman then begins to consume and licking a large horse cock. Then, she's ready to experience a large horse cock inside her pink pussy. The depraved sexual procedure begins. A woman is prone to having sexual sex with horses. If you like games in which females fuck with horses, this game on computers is definitely for you.
About Penny and her trusty sex robot from the hentai game. Was it not for the best that this bizarre couple of mischievous fighters chose to fight while there weren't any bad guys around and they had some spare time? Whatever the reason, Penny has grown sufficiently to allow her golem tentacle made of metal to provide the most effective relaxation tool! You can enjoy vibrant and well-animated sex scenes as you control the golem using some of the buttons on the screen. So, without further delay we'll begin the game.
In this game you will get a wonderful looking nekogal with pink colored hair as your housemaid. However it is not only the clean home that you want from her - it would likewise be rather great to dress her up in something attractive and to fuck her genuine great! However before this will happen you will have to put some efforts and to make her depend on and her sympathy first. Exactly how? By speaking with her, by dealing with her other requirements yet at the identical time training her!
Discussion: Total Comments : 2
madcummer:
made me fuck my mom and cum in her ass and mouth
Justarandom901:
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠛⠛⢻⣿⣿⠁⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⢨⣿⣿⡀⠀⠂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣿⣿⡇⠀⠄⠻⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠋⠉⢻⣿⡇⠀⠀⠀⢻⣿⡇⠀⠀⠀⢹⣿⣿⣿⣿⣿⡿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠸⣿⣷⠀⠀⠀⠘⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⠃⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢠⢻⣿⣿⣿⣿⣿⡇⠀⢢⢿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠀⣿⣷⠀⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⠏⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⣌⣿⣿⣿⣿⣿⡇⠀⠀⢻⣿⣿⡄⠘⣻⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠀⢹⣿⠀⠀⠀⠀⣾⡇⠀⠀⠀⢸⣿⣿⣿⡏⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢻⠌⢻⣿⣿⣿⡇⠀⠁⣐⣿⣿⣇⠘⢸⣿⣿⣿⣿⣿⣿ ⣿⡷⠀⠀⠀⠀⢿⡆⠀⠀⠀⣿⣇⠀⠀⠀⣿⣿⣿⡟⠀⠀⠀⢂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢧⡊⢿⣿⣿⡇⠀⠀⠀⢻⣿⣿⠀⠠⣿⣿⣿⠉⠛⣿ ⣿⣿⠀⠀⠀⠀⣿⠇⠀⠀⠀⠈⠁⠀⠀⠀⠈⠛⠛⠁⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠉⢀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠒⠭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣻⣿⣿⣽⣾⣿⣿⣿⣿⣟⣿⣿⣾⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢫⡽⣿⣷⠀⠀⠀⢨⣿⣿⠀⠀⢹⣿⣯⠀⢈⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠘⢦⡀⢀⠀⡄⠀⠀⢤⡀⠄⡄⠻⢼⢧⡿⣿⣿⣿⡿⣿⣿⡿⣿⣟⣿⣿⣧⣿⣿⣿⢿⣟⣿⣧⣷⣿⣿⣿⡿⣿⣿⣿⢿⣿⣻⣿⣿⣿⢿⣿⣿⣼⣾⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⣷⣿⣿⣆⠀⠀⠀⢿⣿⡀⠀⣸⣿⣧⠆⠘⣿ ⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠈⠂⠀⠈⠛⣀⠻⢄⠦⣭⢲⡅⣸⡘⢿⣼⣶⣙⣳⣏⣿⣽⡿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣻⣿⣿⣿⡿⣿⣻⣽⣿⣿⣿⣯⣿⣿⢿⣟⣿⣷⣿⡿⣟⣯⣿⣿⢿⣿⣿⣿⢿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠑⠈⠈⠉⠉⠀⠀⠀⠀⠙⠳⠀⢽⣿⣿⠀⢈⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡀⣒⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢠⡀⢌⢣⡟⡞⢯⣞⡷⣿⣿⣿⣿⣿⣷⣽⡞⣷⣿⣿⢿⣽⣾⣿⣿⣿⢿⣿⣿⣿⣻⣽⣿⡿⣿⣿⣻⣾⣷⡿⣿⣾⣿⣿⣻⣽⣾⣿⣿⡿⣿⣻⣿⡿⣷⣿⣿⣿⢿⣟⣿⣾⣿⣿⣿⣯⣿⣿⣿⣿⣻⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⢹⣶⣾⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⠁⠈⠀⠹⣦⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢆⡘⢦⠹⣜⠳⢮⡝⣷⣻⢿⣿⣿⣿⣿⣿⣯⣿⣾⣿⣿⣯⣷⣿⢿⣿⣻⣷⣿⢿⣿⣽⡿⣿⣽⣿⣻⣾⢿⣿⣽⣾⣟⣿⡿⣽⣾⣟⣿⡿⣟⣿⣿⣟⣯⣿⣾⣿⣿⡿⣿⣽⣾⣿⢿⣟⣯⣷⣿⣿⣟⣾⣿⡇⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠟⡽⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢮⣻⣿⣿⣿⡿⠿⠟⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠜⡠⠚⢤⢋⡜⢣⠹⣜⡱⢯⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⣿⣿⣽⣿⣻⣟⣿⣽⣾⣿⣻⣾⢿⣟⣯⣷⣿⣻⡿⣯⣿⣳⣿⣯⣿⣟⣯⣿⢿⣽⣿⢿⣳⣿⣿⣻⣽⣷⡿⣿⣿⢿⣻⣽⣿⣿⠿⠟⠿⠿⣾⣿⢾⣧⠀⢰⡧⠀⠠⣤⡄⠀⠀⠀⠀⠀⠀⠘⠁⠐⠸⣿ ⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠈⠉⠀⠀⠀⠀⠀⠈⢡⡙⣼⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠠⢉⠆⠡⠏⠐⠆⠌⠢⡑⠌⠼⡹⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣟⣯⣿⢯⣷⣿⣻⣽⣿⣻⡿⣽⣾⢿⣽⣿⣳⡿⣷⣻⣷⣻⣽⣾⢿⣻⣾⢿⣟⣷⣿⣻⣯⣿⣟⣿⣽⡿⣿⡟⠋⠀⠀⢀⡀⣆⣵⣻⣿⣿⣤⠟⠁⠀⢴⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠤⠡⠌⠸⠀⠌⡀⠙⠌⡒⠱⣙⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⡽⣿⣻⢾⣯⣷⢿⣳⡿⣿⡾⣟⣿⢾⣻⣽⡿⣽⣾⢯⣷⢿⣻⣯⢿⣻⣯⣿⢾⡿⣽⣷⡿⣯⣿⣟⣿⣧⣼⣿⣿⣿⣿⣶⣾⣵⣾⣿⣿⣿⣦⡀⢸⡿⢟⣢⣤⡄⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠠⠁⠐⠀⠀⠀⠀⢄⠑⡾⢾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢷⣯⢿⣻⣽⣯⢷⣯⣟⣯⢿⡷⣟⣿⣽⣻⢯⣷⢿⣻⡾⣿⣽⣻⢷⣻⣟⣯⡷⣟⣿⣻⣟⣾⢿⣻⡷⣿⣻⣟⡿⣿⣽⣻⣟⣿⣿⣿⣇⠞⡩⢓⡈⣿⡄⣴⡏⢱⣿⣿⣶⡄⠀⠀⠀⠀⠠⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⣤⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⣌⠰⠄⠀⠀⠀⠀⣀⣈⣴⣩⣿⣷⣭⣻⣿⣿⣿⣿⣿⣿⣿⣿⣞⣯⣟⣯⣟⡾⣽⣻⢾⡽⣾⣻⣽⣻⣞⣷⣻⢯⣟⡿⣽⣻⢷⣯⣟⣯⣷⣻⢷⣻⢯⡷⣿⡽⣯⡿⣯⣟⣷⢿⣽⣻⢷⣯⢷⣯⢷⣻⢿⣎⣃⣀⣹⣴⢿⡁⢿⠁⣾⣿⣿⣿⡷⠀⠀⠀⠀⣿⣿ ⣿⣿⣿⡂⠀⠀⠀⣀⠐⠂⠀⠀⡀⠀⠀⢀⠠⣄⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣠⣞⣷⣾⣿⣿⣿⣽⢎⠰⠁⠀⣶⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣳⣟⡾⣽⣻⢷⣯⢿⣽⣳⣟⣾⣳⣟⡾⣽⢯⡿⣽⢯⣟⡿⣾⡽⣞⡷⣯⢿⡽⣯⣟⡷⣿⣽⣻⢷⣯⣟⡿⣾⣽⣻⣞⡿⣞⣯⣟⣯⢿⣿⡿⣿⣿⣋⣠⢞⣾⣿⢿⣿⣿⢃⣼⡄⠀⢰⣿⣿ ⣿⣿⣿⠄⠀⠀⠁⠒⠒⠀⠘⠒⢝⠳⢆⣢⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣴⣿⣻⣻⣽⣯⣟⣫⡽⣿⠷⠀⠈⣿⣿⣿⣿⣿⡿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢶⣻⢾⣽⣳⢯⣟⣾⡻⣞⣷⣻⣞⡷⣯⢿⡽⣯⢿⣽⣻⢾⣽⣳⢿⣽⣻⡽⣯⣟⡷⣯⣟⡷⣯⣟⡿⣾⣽⣻⠷⣯⢷⡯⢿⡽⣞⡽⣞⡿⣞⣿⣮⠿⡿⢋⣿⠟⣫⣾⣿⣿⣿⣿⡀⢠⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢰⣿⣿⣿⣽⣾⣿⣿⣿⠿⠛⠀⠀⢀⠸⣿⣿⡿⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣯⢷⣯⣽⡻⣞⣷⢻⡽⣞⣵⣻⢾⣽⣫⢿⡽⣻⢾⣽⣻⠾⣽⢯⣞⣷⡻⣷⢯⣟⡷⢯⣟⡷⣯⣟⡷⣽⣳⢿⡽⣳⡟⣯⡽⢯⣽⢻⣼⢻⣼⣻⣯⠛⣿⣷⠿⡿⢟⣿⣿⠋⢠⠁⢸⣽⣿⣿ ⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⣤⡀⠀⠀⠀⠀⣨⣿⠟⠉⠁⠛⠋⠣⢄⡾⠁⠀⢤⠈⠱⣿⣿⣷⣄⢀⣀⡰⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡼⡽⣞⡶⣯⣽⢻⡼⣏⣿⣹⠾⣭⢷⡾⣝⣯⡽⣏⡿⡶⢯⣿⡹⣟⡾⣳⢿⣹⢾⡽⣞⣿⣺⣽⣳⢯⣽⣳⢟⡾⣽⢳⣻⡵⣻⡝⣮⢟⣼⣛⡶⣏⢿⣦⢨⣷⠶⠋⣩⠟⠁⠀⠀⠂⡼⣿⣿⣿ ⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠌⠐⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠙⣆⠀⠀⠀⠈⠛⠒⣏⣁⣠⣤⣿⠟⠁⠀⣠⠞⠓⠀⠙⣿⣿⣿⡒⠨⠵⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣵⢻⣝⡾⣵⣫⡟⣽⡽⢶⣏⡿⣝⣳⢯⣻⢼⣳⢯⣽⣛⡟⣶⣻⣭⢷⢯⣏⡿⡽⢾⡽⢶⣛⡶⢯⣟⡶⣏⣯⢟⡼⣏⡷⣹⢧⡻⣵⢫⡞⣵⢻⡜⣯⢾⣇⠻⠒⠂⠀⠀⠀⠀⢠⡃⢸⣕⣾⣿ ⣿⣟⠀⠀⠀⠀⠀⣀⣀⣀⣸⣤⣡⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⡿⢀⣾⠀⠀⠀⠀⠀⠒⠋⢛⡛⠋⠁⠀⠀⣸⠃⠀⠀⠀⠀⢸⣿⣿⣧⣌⠓⡱⣄⢱⣫⣿⣿⣿⣿⣿⣿⣟⡼⢧⣻⡼⢧⣗⣻⡵⣻⢽⡺⣽⢭⣛⡾⣵⣛⡮⣟⢶⣫⡽⣳⢧⣯⢻⡾⣹⠾⡽⣯⠽⣏⣯⢽⣛⣮⢷⡻⣼⢫⡽⣞⡽⣹⢞⡵⣫⢷⡹⣎⢷⡹⣎⣟⣿⣦⣤⣼⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿ ⣿⠧⣧⣠⠖⡧⣛⢯⡻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣷⡁⢸⡇⠀⠀⠀⠀⠀⠠⡌⢂⣰⡄⠉⣠⣼⠋⣀⣤⡀⢀⣤⣾⣿⣿⣿⣿⣷⣵⣮⣷⣿⣿⣿⣿⣿⣿⣿⡷⣹⣛⢶⡻⣝⡮⢷⣹⠽⣞⣽⢺⣭⢷⡹⣖⢯⡳⡽⣎⡷⣝⡳⢯⡞⣭⢷⣫⢟⣳⡭⣟⡳⢾⣭⡳⣽⣚⠷⣭⢏⡷⣹⢞⡵⣫⢞⡵⣋⢷⡹⣎⢷⡹⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⢹⣷⢃⣏⢲⡍⣶⡹⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡿⣿⣷⠈⠷⡄⠀⠀⠀⠀⠐⣬⠟⢁⣴⣾⠟⠉⠐⠿⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣧⣛⢮⣗⡻⣜⢯⡞⣽⢺⡜⣧⣛⢮⡗⣯⢞⡵⣻⣜⡳⣭⣛⢧⡻⣝⢮⡳⣏⢾⡱⢯⣝⡳⣎⢷⣣⢏⡟⣾⡹⣞⡵⣫⢞⡵⣫⢞⡽⣎⢷⡹⣎⠷⣭⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿ ⣯⢺⣿⢢⢌⣣⡜⣧⡟⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⣧⠰⣾⠀⠀⠀⠀⠔⠃⢀⣟⣵⠋⠀⠀⠀⠀⠀⡀⠌⠈⢛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣜⢧⣛⠾⣜⡳⣝⢮⡝⣞⢧⡻⣵⢫⡞⡽⣎⠿⣜⡳⣎⢷⣣⠟⣮⢳⡝⣮⢳⡝⣮⡝⣳⢎⡷⣹⢎⢷⣫⢞⡵⣛⡼⣺⠵⣫⢞⡵⣫⢞⡝⣮⢳⣭⠻⣵⢫⡟⣻⣯⣭⣭⣥⣤⣤⣦⣤⣤⣶⣿ ⣧⣿⡟⣆⡚⠴⡛⢶⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣟⣿⡿⣿⣾⣟⣿⡄⠀⡄⠀⠀⠀⠀⠀⣏⠛⢀⠂⡁⠀⢀⣀⢀⣤⣴⣬⣾⣮⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡳⣝⢮⣝⡻⣜⡳⣝⢮⡝⣮⢳⡝⣮⢳⡝⣣⢏⡟⣼⢳⡹⢶⣙⠾⣱⢏⢾⡱⢏⣞⡱⡞⡵⣫⡜⢧⣛⢮⡖⢯⢞⡱⣏⡳⣝⢧⡻⣜⢧⡻⣜⠧⣏⣖⢻⡜⢧⣻⣿⡿⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣿⠟⡰⣍⠳⣽⢣⣟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣻⣿⣿⢿⣷⣿⢿⣷⣬⣧⠀⠀⢠⡄⠀⠈⢡⣦⣷⠾⠿⠟⠛⠋⠋⠙⠉⠛⣛⡿⣿⣿⣿⠟⢠⣿⣿⣿⣿⣿⠷⣎⢷⡹⣞⡼⢣⣏⠷⣹⠮⣝⣎⠷⣹⠲⣏⡼⣣⠟⣼⢣⣏⢽⣚⣬⡛⡵⣎⢧⢫⡝⢦⣛⠼⣳⢱⣚⠧⣝⡲⣝⢫⡎⠷⣍⡳⣭⠞⣵⣋⢾⡱⣭⢛⡖⢮⣓⡞⢧⣽⣿⣿⣿⢿⣻⣿⣟⣿⣿⣿⣿⣿ ⣿⣿⣮⣵⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣻⣿⢿⣾⣿⣻⣿⣿⣧⠀⠘⢧⡀⢠⣷⠏⢀⡀⠀⠀⠀⢀⡀⠄⠤⢦⣳⣿⣿⣿⣿⣇⣰⣿⣿⣿⣿⣏⡟⣮⢳⡝⣶⢹⣓⢮⡝⢧⢻⠼⣜⣭⢓⡻⣌⡗⢧⡻⢬⣓⢮⠳⡜⣦⢛⡵⢎⢧⢫⡜⡳⢬⡛⢶⣩⠮⣝⡲⡝⣜⣣⢝⣫⠜⣧⢓⡻⢦⣹⢲⣙⢦⣛⡼⢣⣓⢞⡱⣺⣿⣿⣯⣿⣟⣾⣻⢯⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⣿⣿⣟⣿⣽⣿⢿⣿⣻⣾⢿⣽⣻⣿⣷⠄⡉⣥⢘⠲⠌⡀⠀⡁⠀⠈⠁⠀⠀⠐⣢⢿⣾⣻⣿⣿⣿⣿⣿⣿⣿⣟⡼⣹⢎⡷⣹⢬⡳⢎⣳⠺⣍⢧⣛⡜⢦⢏⡵⣚⡼⢣⡝⢧⠞⡼⣩⠳⣜⢣⠞⡭⢎⡳⡜⣭⢣⡝⢦⢣⡛⡴⡹⡜⣎⠶⣩⢖⡫⢖⡫⢵⢣⢇⠯⣜⡲⣱⢚⢧⡙⢮⢵⣿⣿⣿⣿⣷⣿⢯⣟⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣟⣿⣿⣻⣿⣽⣿⣻⣯⡿⣻⠀⠈⢻⣯⡱⣀⣄⡁⢀⠠⢄⡠⣠⣄⣻⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡱⣏⡞⣥⢳⡭⣛⣬⠳⣍⠶⣣⠞⣭⡚⡴⢣⡝⣣⢞⡱⣫⢕⡣⢟⡬⢣⡛⣜⢣⢳⡙⢦⠳⡜⣭⢲⡙⢶⡱⡹⣌⢳⡱⢎⡵⢫⡜⣣⢏⣎⠳⣎⠵⣣⢏⠶⣙⢮⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣽⣿⣽⣾⣿⡽⠋⣰⣿⠀⡄⢤⡙⠷⣿⣿⣿⣷⣾⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⡸⢇⡯⢶⡍⣖⠻⣌⠷⣱⢋⠶⡹⣜⢣⢞⡱⢎⡵⢣⢎⡵⢫⡜⣣⠝⣬⢣⢧⡙⣎⢳⡹⣰⢣⠝⡦⢓⡵⣊⢇⠧⣋⢖⡣⢞⡡⢞⢬⠳⣌⢳⡱⣊⢳⢩⢲⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⡿⡿⢿⠿⡿⢿⠿⠿⠿⠿⡿⢿⠿⡿⢿⠿⢟⠿⣛⠿⠿⠿⠿⠿⢿⡿⣿⣯⣿⡷⠟⣁⡴⢋⣿⣿⡆⢿⣴⣿⣶⣬⣿⢿⢿⡿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⡞⣭⠳⣍⠞⣥⣋⢗⡳⣌⠷⡪⣕⢫⡔⣫⢚⡜⢣⠞⣱⠚⡴⢣⢎⡵⢊⢧⠲⢥⡓⢮⢱⢋⡔⢣⢎⢣⡍⡲⣉⠶⡙⡬⢎⠵⢪⣑⢲⣉⠮⣑⢣⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠙⠙⠛⠛⠿⢻⡏⣱⣿⣿⣿⣜⣳⣎⠷⣼⣫⣶⣳⣟⡶⣳⣶⣼⣚⣧⣾⣿⠿⣿⣮⣿⣟⣻⣦⣧⢳⡶⢦⣤⡖⡛⢩⡔⢸⣿⣿⣿⣎⡙⣛⠏⠙⠛⠻⢷⣶⣦⣌⣓⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣚⡑⣎⠣⣱⣬⣷⣿⣾⣿⣾⣿⣿⣾⣿⣿⣶⣯⣿⣷⣮⡖⣩⠲⣙⠦⡙⢦⡉⠶⡘⢥⢪⠱⡌⠵⣘⠲⣍⠲⣉⠮⡱⢌⡆⢳⡸⢡⡓⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⣀⣾⢁⣶⣿⣿⣿⡾⣷⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⡿⣾⣿⣶⣹⣏⣿⣱⢏⣹⣷⣿⣷⢾⣷⢿⠸⣇⢹⣿⣿⣿⣿⣷⡉⠀⠀⢀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠹⣰⢇⠹⢆⠹⣆⠹⢆⠇⢷⡈⢷⡈⢷⠈⢷⡈⢶⢁⢇⡎⣱⠈⣇⢉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⣸⣿⡄⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣽⣯⣿⢻⡇⣿⣾⣿⣿⣿⣿⣿⡇⠀⡀⢌⢲⠠⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣦⡎⢓⢎⡱⢌⠚⣌⠚⡴⢘⢢⡉⢦⡙⠦⡘⢦⡉⢖⡸⢄⠫⡔⡩⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢻⣿⣿⣿⣿⣿⣿⡀⢠⠵⣈⢦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡶⢶⡍⢎⡰⢩⠰⡉⢆⠜⡰⡘⠴⣉⠦⡘⢦⡑⢎⡱⢌⡡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣿⣿⣿⣿⣿⣿⣿⣧⣩⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣿⣶⡈⢇⡒⠅⡎⠬⡑⣘⠒⡰⢌⠱⢂⡍⡒⠴⡈⠖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣞⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡰⢌⠚⡄⢣⠜⡠⢣⠑⣌⡘⢢⠔⡱⢨⡑⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣫⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣷⣼⣤⣧⣜⣠⠜⠢⠜⡰⣁⠲⢄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⢿⣿⣿⢀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣴⣨⣑⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⢻⣿⢘⣿⣿⡈⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣽⣾⣯⣿⣿⣿⢨⣿⣿⡅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣻⣽⣾⣻⡷⣿⣧⣿⣿⡇⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣻⣯⣿⡽⣿⣷⣻⣿⡗⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣿⣿⣷⣿⣿⢯⣷⣿⡇⢼⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡧⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡛⡿⠿⢿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣻⣽⣾⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠎⣽⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⡿⠿⠿⠿⢿⣿⣿⣻⣾⡿⠿⠿⢿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⡾⢿⣿⣿⣿⣻⡿⠿⣿⣿⣿⠿⢾⣿⢿⠿⠿⠿⠿⠿⢿⣿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠈⢿⣿⣿⡇⠠⣤⣤⣄⠈⢻⣿⠁⢠⣴⣤⡀⠘⣿⠟⠁⣠⣤⣄⠈⢻⣿⠄⠀⣿⣿⣿⣿⠄⠀⣿⣿⣿⠀⢰⣿⣤⣤⡄⠀⣤⣤⣴⡇⠀⢠⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⡀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⡤⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡳⣌⢿⣿⣿⣍⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣼⡀⠸⣿⣿⡇⠀⠻⠟⠛⢀⣾⣿⣄⠈⠛⠻⢿⣿⣿⠀⢸⣿⣿⣿⡆⠀⣿⠇⠀⣿⣿⣿⣿⠂⠀⣿⣿⣿⠀⠠⣿⣿⣿⡅⠀⣿⣿⣿⡇⠀⠸⠟⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⢄⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢬⣾⣟⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢊⣯⣿⣿⣿⣷⡄⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⠛⠓⠀⠹⣿⡇⠀⣶⣶⣶⠀⢹⡿⠿⣷⣶⣤⡀⠙⣿⠀⠘⣿⣿⣿⠃⠀⣿⠁⠀⣿⣿⣿⣿⡃⠀⣿⣿⣿⠀⠀⣿⣾⢿⡆⠀⣿⣿⣿⡇⠀⢱⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠌⡠⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢱⣟⣧⡿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡟⣼⣿⣿⣿⣿⣿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⣷⣶⣶⣆⠀⢻⡇⠀⠙⠛⠉⣀⣼⣷⣀⠈⠛⠛⠁⣠⣿⣧⡀⠉⠛⠉⢀⣼⣿⡀⠀⠙⠋⠛⢹⣧⣀⠘⠛⠋⢀⣼⣿⣷⣻⡇⠀⣿⣿⣿⣇⠀⠘⠋⠛⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠠⠐⠈⣀⢂⠱⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⢣⣟⡿⣞⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢨⠐⠠⠐⠠⢌⠂⠀⠀⠀⠀⠀⠀⠀⡡⠂⡍⢶⣿⣻⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⣟⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠔⡂⠌⢠⠁⢎⡘⠀⠀⠀⠀⠀⠀⠠⠁⠤⢱⡘⣾⣿⣟⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠉⠉⠉⠉⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠛⠋⠛⣿⣿⣿⣿⡟⠛⠉⠛⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠋⠛⠙⠙⣿⣿⣾⣿⡋⠛⠙⠋⠋⠉⠋⠙⠉⠋⠉⠉⠉⠙⠙⠋⣿⣿⣿⠛⠋⠉⠙⠉⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠉⠛⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠋⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠜⡐⠌⡄⢊⠴⡉⠀⠀⠀⠀⠀⠀⠄⡉⠦⣡⢛⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⡿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⣊⠔⡡⠘⣌⠲⡁⠀⠀⠀⠀⠀⢈⡐⢠⠓⣬⢏⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣤⣶⣿⣷⣶⣦⣄⠀⠀⠀⠀⠙⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣽⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⢢⠑⡄⠳⣌⠣⠀⠀⠀⠀⠀⡀⠂⡔⢡⢚⣜⣫⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢠⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢰⡀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⡿⢈⢆⡱⢨⡑⠦⠁⠀⠀⠀⠀⠀⠄⢃⡘⢤⢫⡼⣹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣴⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⡆⠀⠀⠀⠀⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⡆⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣾⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⡇⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⡟⢠⡎⡔⢣⡝⡌⠀⠀⠀⠀⠀⠐⠈⡆⠘⣦⢳⡝⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣄⠀⠀⠀⠀⢻⣿⣾⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⠀⠀⠀⠀⠸⣷⠀⠀⠀⠸⣿⣿⣿⣿⣿⠇⠀⠀⠀⣰⡧⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣸⣿⣿⡀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣗⠨⡔⣡⠏⢶⡁⠀⠀⠀⠀⠀⠑⡂⢌⡱⣘⢮⢷⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣦⠀⠀⠀⠀⠹⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠸⣿⣿⣿⡏⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢠⣿⣿⣿⣧⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣆⡱⢆⡛⣦⠅⠀⠀⠀⠀⡐⢂⠱⣈⠖⣭⣞⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣧⡀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠄⠀⠀⠀⠀⣴⡤⢤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⢹⣿⡿⠁⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣾⣿⣿⣿⣿⣆⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣷⡘⢮⡱⣎⠇⠀⠀⠀⠀⡐⢂⠱⡌⢞⡴⣫⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠿⠛⠿⢻⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣷⡄⠀⠀⠀⠈⠂⠀⠀⠀⠀⣿⣿⣿⣿⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⡀⠀⠀⠀⢿⠃⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⣹⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠈⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡥⢳⡹⣎⡇⠀⠀⠀⢀⠰⣈⠒⣍⠞⣼⣳⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣽⣿⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡇⠀⠀⠀⠀⢼⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣇⡳⣝⠾⡅⠀⠀⠀⢌⢶⡠⣙⢬⢻⣼⣳⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠙⠻⠿⠿⠿⠛⠁⠀⠀⠀⠀⣠⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⢿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠻⣿⣿⣿⣿⡧⣹⢮⣟⡇⠀⠀⣈⠞⣣⡗⡌⡞⣧⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢻⣿⣿⣿⡳⣝⡞⣾⡇⠀⢠⠱⣞⡳⣿⢌⡳⣝⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⣀⣀⣀⣠⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣿⣿⣿⣿⣧⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣿⣿⣿⣿⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣾⣿⣿⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣤⣤⣤⣼⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣾⣿⣿⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣿⣿⣿⣱⢏⣾⢿⡗⠀⢢⡝⣲⡝⣿⢎⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣼⣛⡾⣿⣿⠀⢣⠞⣥⡻⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣶⢿⡽⣿⣿⡌⢣⣛⡶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣫⢷⣻⣿⣽⣿⣃⠧⣝⠾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣯⢷⣿⣿⣿⡃⢿⣜⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣻⣿⣿⣿⡝⡶⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿