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.
You have a selection of models to pick from in this game. And picking a model is the primary step in the game. If you don't presume them after three attempts, all models are positioned to the back of the line. After picking a model, you can only regulate it on the playing field. Then the games of sex with your model will begin. There are three trouble settings in the game.
You can hide behind your computer for as long as you want yet if the fate itself has intended any kind of partnership for you then you will enter it at some point. It can take place when you will go to the neighborhood store to get some noodles in the middle of a night or on a seem to be abolutely empty metro station. Yet it will take place. Thankfully enough you are destined to fulfill rather charming though still odd blonde gal as your initial try... or at the very least you assume it is your initial time.
Years have passed considering that the world of shinobi has attacked and damaged your world. Though you have endured and now spending your days with your roomamtes unde rthe watchful eye of your Landlady. Yet you have learned your lesson and you recognize that just when you expect it the least the fate stirkes. You will have to encounter the shadow world of shinobi as soon as again though this moment you wont be an anxious kid without power or skills to secure yourself and the ones you enjoy. This moment you will enter their world first and damage it create the inside... or a number of busty kunoichi will be enough to transform your mind?
To adhere to the steps of your grandfather has never been more tough, a lot more dangeorus and a lot more amazing than in "Raunchy Hearts" - the visual story for adults only based on the popular world of "Bleach" series! Come to be the leader of the Heart Society by the due and gather the captains under your command thanks only to your battle skills, your beauties and your nature offered properties!
This is a game concerning dating as it is: meeting hot looking chick develops into utmost test of all your skills and all your beauties. Research the imformation, take note and assume actual excellent on every little thing you are intending to do or to claim. And prepare yourself for assessment due to the fact that only addressing all of her inquiries appropriately will supply you with a correct dessert tonight. All the best!
Lets face it - most of us have dreamed concerning being surrounded by only the best girls in our day-to-day life. And in our game you will ultimately get this opportunity! Yet are you sure that you have all that is called for to manage such a number of hotties? Their boobeis and their booties will call for a whole lot of focus despite where you will go and what you will do and this selection can never be very easy...
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 recognize what will take place whenever you will go out in the street. Enter problems? Examine! Get saved by busty superheroine in latex costume? Examine! Turn all the superpowered girls in your means into your own personal superbitches? Examine, examine, examine!
Just how do you keep entering all those crazy scenarios at all times? The solution is basic - you are surrounded by crazy people! And if the childhood years pal who takes pleasure in all type of physical wrestling (yeah, including the one without any kind of clotehs on) is kinda acceptable then where did the catgirl and robot came from?! Possibly often you must just adhere to the dream without asking...
You additionally got tired that Sakura, Hinata and others of Naruto's partner are always so right, right and pollite? Well, in this game you can ultimately transform that! Become their new sensei and show these sluts what they in fact need to recognize in this rough and even fierce world where males are assuming only with their hands or their penis... And make certain to offer them enough practicing!
The worlds of "Avatar: The Last Airbender" and "Avatar: The Legend of Korra" have lots of inspiring female characters. And of course, this ideas benefits hentai parody style too! In this visual novel combined with roleplay components you will fulfill your favored female characters in a new setting of Ash Island - the tropical island which only seems to be a paradise on earth...
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!
You are a common person who is drinking this night with his common pals at the common bar. And soon you are going to miss all things common - right right now when you get trapped by the strangely opened site! You end up in a new world loaded with magic and battles, journeys and... whole lots of busty hotties! Who needs to be common anyway when you can come to be the absolutely new hero of "Fairy Tail" saga?
Funny and vivid van appears alongside grimm and scary old manor. That's ideal - the popular Scooby-Gang is at an additional one cirme scene to proove that whatever sort of monster you heve seen it will always be some criminal jerk in rubber mask! This moment they are trying to find mysteriosuly disapppeared uncle of their pal yet what they will locate may transform their group for life...
This appealing online game offers a compelling narrative concerning a young male thrust into an extreme new fact. After losing his former life of comfort and safety, he gets here in a silent, town with just an empty budget yet a heart loaded with hope. The core gameplay centers on this basic struggle to restore from square one: locating vital work, safeguarding an area to call home, and navigating the myriad troubles that develop when one is entirely alone and starting over in an area where possibilities may not be right away evident. It discovers not just the economic and physical obstacles, yet additionally the social and emotional journey of building connections and getting rid of misfortune in a new, potentially detached, setting.
In this interesting and fascinating lovemaking flash game you will play a de-robe poker game with a lovely and big-boobed lady called Lady Evelin. Definitely after work, Lady Evelin decides to have a little fun and invites you to play the game. So look at the game screen. First you have to generate a bet. Then Lady Evelin will do the same and the game commences. The major mission of the game is to see Lady Evelin totally naked. To do so, you must dial a blend of cards higher than that of this lady. You then win the round. As briefly as the lady runs out of cash, she will take off a chunk of clothing and place it on the line. If luck is on your side you can see Lady Evelin totally naked. And then fuck Lady Evelin in taut and pink fuck-holes. Start playing at the moment.
This is an updated version of pornography game which you might know by the name"King of Porn City" so that here you will see even more options to produce gonzo fuck-fest scene even more gonzo! So even if you have played this game before and liked it then you have all the reasons to try this version also. When you have not played this game before then you have the opportunity to play the best version of it right from the begin but be certain that you don't mind about gonzo sexscene as you won't be calle dthe king of pornography without pushing it to the limit. The story may not be the strongest side of this"inside pornography industry themed" game yet you will get a good deal of fun and titillating choices to perform during each fuck-fest scene you will be shooting with many fucking colleagues.
In this interesting and depraved flash game you have to assemble a major puzzle of many petite lumps. A exceptional aspect of this game is that each one of the lumps are all animated. So having collected a significant puzzle you will find a lovely and depraved flash animation. Use the mouse to stir the puzzle lumps on the game screen. As shortly as you accumulate a significant puzzle the game will switch to a new game level. Needless to say, the more levels you pass, the more animated puzzles you'll be able to see. Look at these twisted puzzles in which beautiful ladies display their big tits and pink cooter. If you are ready then commence playing at the moment.
This time You will play as a Nazi Officer. Your target is to catch enemy spy. This is a busty beauty Zina that is Russian. You should be very careful, don't shoot her! We need her alive to have fun with her juicy boobs and sexy ass! Shoot lights initially.
On the day of her adulthood huge-boobed doll Tsunade decided to ride on horseback. Presenting what will be her entire life huge-boobed Tsunade decided to rest on the clearing. Next to the horse. And Tsunade fell asleep. She woke up from the fact that the lascivious horse began to gobble her long legs and huge tits. But the most important thing is a big horse dick. He liked the huge-boobed Tsunade so long that she desired to taste it. Well, then try it inside her taut moist coochie. Use the mouse and then objects on the screen to control the game.
We have no idea how this happened but Nami wound up all alone and away from Luffy and others. That can assist her to obtain back? Well, sicne she is depending on the deck of your ship right currently the response for this concern is kinda evident... however as honorable pirate you are not going to help her easily. For the time of looking for the epic "Strawhat Pirates" Nami can come to be an extremely important enhancement to your own team... and to your bed room!
Princess Zelda awakens in a really odd area - the area where nothing is around and even her garments has strangely went away! Additionally it makes her to feel fairly odd: below she intends to enjoy, below she intends to dance, below she intends to masturbate... and below she intends to fuck! Yet is this a dream or some odd fact? Resembles Zelda doesn't actually look after it now...
Sonic the Hedgehog and also his friends Tails are teaming up for an additional one terrific journey... yet this moment they both will be starring in it as gender-bended and also very bimbofied versions of themselves! And as you have possibly already presumed this wont be any kind of normal aracde - this will be a hentai themed initial person journey in which you will make both Sonic and also Tails into your obedient bitches! Hm, does it indicate that you are playing as Medical professional Robotnik or...
How do you think breathing training can be more depraved and sexual? Yes! Look at how to properly do this training. The huge-titted tutor Tsunade and her two disciples Naruto and Sasuke practiced breathing practice in a clearing. But these two dudes were chased by immense tits Tsunade. As it would be useful to take and instead of coaching for roughly fuck this magnificent beauty Tsunade. Accustomed to Naruto and Sasuke poured into a glass of juice sleeping pills. Well, then they embarked raping the sleeping Tsunade. Quickly disrobing the huge-titted Tsunade, the dudes embarked the dissolute area of the training - hard fucky-fucky.
A small bit strange game which is also made in quiet unusual genre for manga porn parodies - this time you are going to participate in abattle between hot chick named Mai (which you migth know from"King of Fighters" roster) and seems-to-be-made-of-clay creature. And guess what? You will be playing as this clay dude! Choose the moves you wish to use from a list you will see in the bottom part of game screen and then apply them to your rival in order to overpower her. Each time you will reach the target your rival will react hilarious or sexy (or both) but in case you're going to manage to win the battle you can have some playtime with your decoration... which is going to be big-boobed Mai obviously! It might take some time from you to understand the mechanics of the game but as soon as you do you will acquire in no time and thus don't worry and great luck!
Discussion: Total Comments : 2
madcummer:
made me fuck my mom and cum in her ass and mouth
Justarandom901:
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠛⠛⢻⣿⣿⠁⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⢨⣿⣿⡀⠀⠂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣿⣿⡇⠀⠄⠻⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠋⠉⢻⣿⡇⠀⠀⠀⢻⣿⡇⠀⠀⠀⢹⣿⣿⣿⣿⣿⡿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠸⣿⣷⠀⠀⠀⠘⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⠃⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢠⢻⣿⣿⣿⣿⣿⡇⠀⢢⢿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠀⣿⣷⠀⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⠏⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⣌⣿⣿⣿⣿⣿⡇⠀⠀⢻⣿⣿⡄⠘⣻⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠀⢹⣿⠀⠀⠀⠀⣾⡇⠀⠀⠀⢸⣿⣿⣿⡏⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢻⠌⢻⣿⣿⣿⡇⠀⠁⣐⣿⣿⣇⠘⢸⣿⣿⣿⣿⣿⣿ ⣿⡷⠀⠀⠀⠀⢿⡆⠀⠀⠀⣿⣇⠀⠀⠀⣿⣿⣿⡟⠀⠀⠀⢂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢧⡊⢿⣿⣿⡇⠀⠀⠀⢻⣿⣿⠀⠠⣿⣿⣿⠉⠛⣿ ⣿⣿⠀⠀⠀⠀⣿⠇⠀⠀⠀⠈⠁⠀⠀⠀⠈⠛⠛⠁⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠉⢀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠒⠭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣻⣿⣿⣽⣾⣿⣿⣿⣿⣟⣿⣿⣾⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢫⡽⣿⣷⠀⠀⠀⢨⣿⣿⠀⠀⢹⣿⣯⠀⢈⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠘⢦⡀⢀⠀⡄⠀⠀⢤⡀⠄⡄⠻⢼⢧⡿⣿⣿⣿⡿⣿⣿⡿⣿⣟⣿⣿⣧⣿⣿⣿⢿⣟⣿⣧⣷⣿⣿⣿⡿⣿⣿⣿⢿⣿⣻⣿⣿⣿⢿⣿⣿⣼⣾⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⣷⣿⣿⣆⠀⠀⠀⢿⣿⡀⠀⣸⣿⣧⠆⠘⣿ ⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠈⠂⠀⠈⠛⣀⠻⢄⠦⣭⢲⡅⣸⡘⢿⣼⣶⣙⣳⣏⣿⣽⡿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣻⣿⣿⣿⡿⣿⣻⣽⣿⣿⣿⣯⣿⣿⢿⣟⣿⣷⣿⡿⣟⣯⣿⣿⢿⣿⣿⣿⢿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠑⠈⠈⠉⠉⠀⠀⠀⠀⠙⠳⠀⢽⣿⣿⠀⢈⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡀⣒⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢠⡀⢌⢣⡟⡞⢯⣞⡷⣿⣿⣿⣿⣿⣷⣽⡞⣷⣿⣿⢿⣽⣾⣿⣿⣿⢿⣿⣿⣿⣻⣽⣿⡿⣿⣿⣻⣾⣷⡿⣿⣾⣿⣿⣻⣽⣾⣿⣿⡿⣿⣻⣿⡿⣷⣿⣿⣿⢿⣟⣿⣾⣿⣿⣿⣯⣿⣿⣿⣿⣻⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⢹⣶⣾⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⠁⠈⠀⠹⣦⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢆⡘⢦⠹⣜⠳⢮⡝⣷⣻⢿⣿⣿⣿⣿⣿⣯⣿⣾⣿⣿⣯⣷⣿⢿⣿⣻⣷⣿⢿⣿⣽⡿⣿⣽⣿⣻⣾⢿⣿⣽⣾⣟⣿⡿⣽⣾⣟⣿⡿⣟⣿⣿⣟⣯⣿⣾⣿⣿⡿⣿⣽⣾⣿⢿⣟⣯⣷⣿⣿⣟⣾⣿⡇⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠟⡽⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢮⣻⣿⣿⣿⡿⠿⠟⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠜⡠⠚⢤⢋⡜⢣⠹⣜⡱⢯⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⣿⣿⣽⣿⣻⣟⣿⣽⣾⣿⣻⣾⢿⣟⣯⣷⣿⣻⡿⣯⣿⣳⣿⣯⣿⣟⣯⣿⢿⣽⣿⢿⣳⣿⣿⣻⣽⣷⡿⣿⣿⢿⣻⣽⣿⣿⠿⠟⠿⠿⣾⣿⢾⣧⠀⢰⡧⠀⠠⣤⡄⠀⠀⠀⠀⠀⠀⠘⠁⠐⠸⣿ ⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠈⠉⠀⠀⠀⠀⠀⠈⢡⡙⣼⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠠⢉⠆⠡⠏⠐⠆⠌⠢⡑⠌⠼⡹⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣟⣯⣿⢯⣷⣿⣻⣽⣿⣻⡿⣽⣾⢿⣽⣿⣳⡿⣷⣻⣷⣻⣽⣾⢿⣻⣾⢿⣟⣷⣿⣻⣯⣿⣟⣿⣽⡿⣿⡟⠋⠀⠀⢀⡀⣆⣵⣻⣿⣿⣤⠟⠁⠀⢴⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠤⠡⠌⠸⠀⠌⡀⠙⠌⡒⠱⣙⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⡽⣿⣻⢾⣯⣷⢿⣳⡿⣿⡾⣟⣿⢾⣻⣽⡿⣽⣾⢯⣷⢿⣻⣯⢿⣻⣯⣿⢾⡿⣽⣷⡿⣯⣿⣟⣿⣧⣼⣿⣿⣿⣿⣶⣾⣵⣾⣿⣿⣿⣦⡀⢸⡿⢟⣢⣤⡄⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠠⠁⠐⠀⠀⠀⠀⢄⠑⡾⢾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢷⣯⢿⣻⣽⣯⢷⣯⣟⣯⢿⡷⣟⣿⣽⣻⢯⣷⢿⣻⡾⣿⣽⣻⢷⣻⣟⣯⡷⣟⣿⣻⣟⣾⢿⣻⡷⣿⣻⣟⡿⣿⣽⣻⣟⣿⣿⣿⣇⠞⡩⢓⡈⣿⡄⣴⡏⢱⣿⣿⣶⡄⠀⠀⠀⠀⠠⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⣤⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⣌⠰⠄⠀⠀⠀⠀⣀⣈⣴⣩⣿⣷⣭⣻⣿⣿⣿⣿⣿⣿⣿⣿⣞⣯⣟⣯⣟⡾⣽⣻⢾⡽⣾⣻⣽⣻⣞⣷⣻⢯⣟⡿⣽⣻⢷⣯⣟⣯⣷⣻⢷⣻⢯⡷⣿⡽⣯⡿⣯⣟⣷⢿⣽⣻⢷⣯⢷⣯⢷⣻⢿⣎⣃⣀⣹⣴⢿⡁⢿⠁⣾⣿⣿⣿⡷⠀⠀⠀⠀⣿⣿ ⣿⣿⣿⡂⠀⠀⠀⣀⠐⠂⠀⠀⡀⠀⠀⢀⠠⣄⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣠⣞⣷⣾⣿⣿⣿⣽⢎⠰⠁⠀⣶⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣳⣟⡾⣽⣻⢷⣯⢿⣽⣳⣟⣾⣳⣟⡾⣽⢯⡿⣽⢯⣟⡿⣾⡽⣞⡷⣯⢿⡽⣯⣟⡷⣿⣽⣻⢷⣯⣟⡿⣾⣽⣻⣞⡿⣞⣯⣟⣯⢿⣿⡿⣿⣿⣋⣠⢞⣾⣿⢿⣿⣿⢃⣼⡄⠀⢰⣿⣿ ⣿⣿⣿⠄⠀⠀⠁⠒⠒⠀⠘⠒⢝⠳⢆⣢⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣴⣿⣻⣻⣽⣯⣟⣫⡽⣿⠷⠀⠈⣿⣿⣿⣿⣿⡿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢶⣻⢾⣽⣳⢯⣟⣾⡻⣞⣷⣻⣞⡷⣯⢿⡽⣯⢿⣽⣻⢾⣽⣳⢿⣽⣻⡽⣯⣟⡷⣯⣟⡷⣯⣟⡿⣾⣽⣻⠷⣯⢷⡯⢿⡽⣞⡽⣞⡿⣞⣿⣮⠿⡿⢋⣿⠟⣫⣾⣿⣿⣿⣿⡀⢠⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢰⣿⣿⣿⣽⣾⣿⣿⣿⠿⠛⠀⠀⢀⠸⣿⣿⡿⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣯⢷⣯⣽⡻⣞⣷⢻⡽⣞⣵⣻⢾⣽⣫⢿⡽⣻⢾⣽⣻⠾⣽⢯⣞⣷⡻⣷⢯⣟⡷⢯⣟⡷⣯⣟⡷⣽⣳⢿⡽⣳⡟⣯⡽⢯⣽⢻⣼⢻⣼⣻⣯⠛⣿⣷⠿⡿⢟⣿⣿⠋⢠⠁⢸⣽⣿⣿ ⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⣤⡀⠀⠀⠀⠀⣨⣿⠟⠉⠁⠛⠋⠣⢄⡾⠁⠀⢤⠈⠱⣿⣿⣷⣄⢀⣀⡰⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡼⡽⣞⡶⣯⣽⢻⡼⣏⣿⣹⠾⣭⢷⡾⣝⣯⡽⣏⡿⡶⢯⣿⡹⣟⡾⣳⢿⣹⢾⡽⣞⣿⣺⣽⣳⢯⣽⣳⢟⡾⣽⢳⣻⡵⣻⡝⣮⢟⣼⣛⡶⣏⢿⣦⢨⣷⠶⠋⣩⠟⠁⠀⠀⠂⡼⣿⣿⣿ ⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠌⠐⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠙⣆⠀⠀⠀⠈⠛⠒⣏⣁⣠⣤⣿⠟⠁⠀⣠⠞⠓⠀⠙⣿⣿⣿⡒⠨⠵⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣵⢻⣝⡾⣵⣫⡟⣽⡽⢶⣏⡿⣝⣳⢯⣻⢼⣳⢯⣽⣛⡟⣶⣻⣭⢷⢯⣏⡿⡽⢾⡽⢶⣛⡶⢯⣟⡶⣏⣯⢟⡼⣏⡷⣹⢧⡻⣵⢫⡞⣵⢻⡜⣯⢾⣇⠻⠒⠂⠀⠀⠀⠀⢠⡃⢸⣕⣾⣿ ⣿⣟⠀⠀⠀⠀⠀⣀⣀⣀⣸⣤⣡⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⡿⢀⣾⠀⠀⠀⠀⠀⠒⠋⢛⡛⠋⠁⠀⠀⣸⠃⠀⠀⠀⠀⢸⣿⣿⣧⣌⠓⡱⣄⢱⣫⣿⣿⣿⣿⣿⣿⣟⡼⢧⣻⡼⢧⣗⣻⡵⣻⢽⡺⣽⢭⣛⡾⣵⣛⡮⣟⢶⣫⡽⣳⢧⣯⢻⡾⣹⠾⡽⣯⠽⣏⣯⢽⣛⣮⢷⡻⣼⢫⡽⣞⡽⣹⢞⡵⣫⢷⡹⣎⢷⡹⣎⣟⣿⣦⣤⣼⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿ ⣿⠧⣧⣠⠖⡧⣛⢯⡻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣷⡁⢸⡇⠀⠀⠀⠀⠀⠠⡌⢂⣰⡄⠉⣠⣼⠋⣀⣤⡀⢀⣤⣾⣿⣿⣿⣿⣷⣵⣮⣷⣿⣿⣿⣿⣿⣿⣿⡷⣹⣛⢶⡻⣝⡮⢷⣹⠽⣞⣽⢺⣭⢷⡹⣖⢯⡳⡽⣎⡷⣝⡳⢯⡞⣭⢷⣫⢟⣳⡭⣟⡳⢾⣭⡳⣽⣚⠷⣭⢏⡷⣹⢞⡵⣫⢞⡵⣋⢷⡹⣎⢷⡹⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⢹⣷⢃⣏⢲⡍⣶⡹⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡿⣿⣷⠈⠷⡄⠀⠀⠀⠀⠐⣬⠟⢁⣴⣾⠟⠉⠐⠿⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣧⣛⢮⣗⡻⣜⢯⡞⣽⢺⡜⣧⣛⢮⡗⣯⢞⡵⣻⣜⡳⣭⣛⢧⡻⣝⢮⡳⣏⢾⡱⢯⣝⡳⣎⢷⣣⢏⡟⣾⡹⣞⡵⣫⢞⡵⣫⢞⡽⣎⢷⡹⣎⠷⣭⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿ ⣯⢺⣿⢢⢌⣣⡜⣧⡟⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⣧⠰⣾⠀⠀⠀⠀⠔⠃⢀⣟⣵⠋⠀⠀⠀⠀⠀⡀⠌⠈⢛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣜⢧⣛⠾⣜⡳⣝⢮⡝⣞⢧⡻⣵⢫⡞⡽⣎⠿⣜⡳⣎⢷⣣⠟⣮⢳⡝⣮⢳⡝⣮⡝⣳⢎⡷⣹⢎⢷⣫⢞⡵⣛⡼⣺⠵⣫⢞⡵⣫⢞⡝⣮⢳⣭⠻⣵⢫⡟⣻⣯⣭⣭⣥⣤⣤⣦⣤⣤⣶⣿ ⣧⣿⡟⣆⡚⠴⡛⢶⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣟⣿⡿⣿⣾⣟⣿⡄⠀⡄⠀⠀⠀⠀⠀⣏⠛⢀⠂⡁⠀⢀⣀⢀⣤⣴⣬⣾⣮⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡳⣝⢮⣝⡻⣜⡳⣝⢮⡝⣮⢳⡝⣮⢳⡝⣣⢏⡟⣼⢳⡹⢶⣙⠾⣱⢏⢾⡱⢏⣞⡱⡞⡵⣫⡜⢧⣛⢮⡖⢯⢞⡱⣏⡳⣝⢧⡻⣜⢧⡻⣜⠧⣏⣖⢻⡜⢧⣻⣿⡿⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣿⠟⡰⣍⠳⣽⢣⣟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣻⣿⣿⢿⣷⣿⢿⣷⣬⣧⠀⠀⢠⡄⠀⠈⢡⣦⣷⠾⠿⠟⠛⠋⠋⠙⠉⠛⣛⡿⣿⣿⣿⠟⢠⣿⣿⣿⣿⣿⠷⣎⢷⡹⣞⡼⢣⣏⠷⣹⠮⣝⣎⠷⣹⠲⣏⡼⣣⠟⣼⢣⣏⢽⣚⣬⡛⡵⣎⢧⢫⡝⢦⣛⠼⣳⢱⣚⠧⣝⡲⣝⢫⡎⠷⣍⡳⣭⠞⣵⣋⢾⡱⣭⢛⡖⢮⣓⡞⢧⣽⣿⣿⣿⢿⣻⣿⣟⣿⣿⣿⣿⣿ ⣿⣿⣮⣵⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣻⣿⢿⣾⣿⣻⣿⣿⣧⠀⠘⢧⡀⢠⣷⠏⢀⡀⠀⠀⠀⢀⡀⠄⠤⢦⣳⣿⣿⣿⣿⣇⣰⣿⣿⣿⣿⣏⡟⣮⢳⡝⣶⢹⣓⢮⡝⢧⢻⠼⣜⣭⢓⡻⣌⡗⢧⡻⢬⣓⢮⠳⡜⣦⢛⡵⢎⢧⢫⡜⡳⢬⡛⢶⣩⠮⣝⡲⡝⣜⣣⢝⣫⠜⣧⢓⡻⢦⣹⢲⣙⢦⣛⡼⢣⣓⢞⡱⣺⣿⣿⣯⣿⣟⣾⣻⢯⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⣿⣿⣟⣿⣽⣿⢿⣿⣻⣾⢿⣽⣻⣿⣷⠄⡉⣥⢘⠲⠌⡀⠀⡁⠀⠈⠁⠀⠀⠐⣢⢿⣾⣻⣿⣿⣿⣿⣿⣿⣿⣟⡼⣹⢎⡷⣹⢬⡳⢎⣳⠺⣍⢧⣛⡜⢦⢏⡵⣚⡼⢣⡝⢧⠞⡼⣩⠳⣜⢣⠞⡭⢎⡳⡜⣭⢣⡝⢦⢣⡛⡴⡹⡜⣎⠶⣩⢖⡫⢖⡫⢵⢣⢇⠯⣜⡲⣱⢚⢧⡙⢮⢵⣿⣿⣿⣿⣷⣿⢯⣟⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣟⣿⣿⣻⣿⣽⣿⣻⣯⡿⣻⠀⠈⢻⣯⡱⣀⣄⡁⢀⠠⢄⡠⣠⣄⣻⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡱⣏⡞⣥⢳⡭⣛⣬⠳⣍⠶⣣⠞⣭⡚⡴⢣⡝⣣⢞⡱⣫⢕⡣⢟⡬⢣⡛⣜⢣⢳⡙⢦⠳⡜⣭⢲⡙⢶⡱⡹⣌⢳⡱⢎⡵⢫⡜⣣⢏⣎⠳⣎⠵⣣⢏⠶⣙⢮⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣽⣿⣽⣾⣿⡽⠋⣰⣿⠀⡄⢤⡙⠷⣿⣿⣿⣷⣾⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⡸⢇⡯⢶⡍⣖⠻⣌⠷⣱⢋⠶⡹⣜⢣⢞⡱⢎⡵⢣⢎⡵⢫⡜⣣⠝⣬⢣⢧⡙⣎⢳⡹⣰⢣⠝⡦⢓⡵⣊⢇⠧⣋⢖⡣⢞⡡⢞⢬⠳⣌⢳⡱⣊⢳⢩⢲⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⡿⡿⢿⠿⡿⢿⠿⠿⠿⠿⡿⢿⠿⡿⢿⠿⢟⠿⣛⠿⠿⠿⠿⠿⢿⡿⣿⣯⣿⡷⠟⣁⡴⢋⣿⣿⡆⢿⣴⣿⣶⣬⣿⢿⢿⡿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⡞⣭⠳⣍⠞⣥⣋⢗⡳⣌⠷⡪⣕⢫⡔⣫⢚⡜⢣⠞⣱⠚⡴⢣⢎⡵⢊⢧⠲⢥⡓⢮⢱⢋⡔⢣⢎⢣⡍⡲⣉⠶⡙⡬⢎⠵⢪⣑⢲⣉⠮⣑⢣⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠙⠙⠛⠛⠿⢻⡏⣱⣿⣿⣿⣜⣳⣎⠷⣼⣫⣶⣳⣟⡶⣳⣶⣼⣚⣧⣾⣿⠿⣿⣮⣿⣟⣻⣦⣧⢳⡶⢦⣤⡖⡛⢩⡔⢸⣿⣿⣿⣎⡙⣛⠏⠙⠛⠻⢷⣶⣦⣌⣓⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣚⡑⣎⠣⣱⣬⣷⣿⣾⣿⣾⣿⣿⣾⣿⣿⣶⣯⣿⣷⣮⡖⣩⠲⣙⠦⡙⢦⡉⠶⡘⢥⢪⠱⡌⠵⣘⠲⣍⠲⣉⠮⡱⢌⡆⢳⡸⢡⡓⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⣀⣾⢁⣶⣿⣿⣿⡾⣷⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⡿⣾⣿⣶⣹⣏⣿⣱⢏⣹⣷⣿⣷⢾⣷⢿⠸⣇⢹⣿⣿⣿⣿⣷⡉⠀⠀⢀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠹⣰⢇⠹⢆⠹⣆⠹⢆⠇⢷⡈⢷⡈⢷⠈⢷⡈⢶⢁⢇⡎⣱⠈⣇⢉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⣸⣿⡄⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣽⣯⣿⢻⡇⣿⣾⣿⣿⣿⣿⣿⡇⠀⡀⢌⢲⠠⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣦⡎⢓⢎⡱⢌⠚⣌⠚⡴⢘⢢⡉⢦⡙⠦⡘⢦⡉⢖⡸⢄⠫⡔⡩⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢻⣿⣿⣿⣿⣿⣿⡀⢠⠵⣈⢦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡶⢶⡍⢎⡰⢩⠰⡉⢆⠜⡰⡘⠴⣉⠦⡘⢦⡑⢎⡱⢌⡡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣿⣿⣿⣿⣿⣿⣿⣧⣩⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣿⣶⡈⢇⡒⠅⡎⠬⡑⣘⠒⡰⢌⠱⢂⡍⡒⠴⡈⠖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣞⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡰⢌⠚⡄⢣⠜⡠⢣⠑⣌⡘⢢⠔⡱⢨⡑⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣫⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣷⣼⣤⣧⣜⣠⠜⠢⠜⡰⣁⠲⢄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⢿⣿⣿⢀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣴⣨⣑⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⢻⣿⢘⣿⣿⡈⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣽⣾⣯⣿⣿⣿⢨⣿⣿⡅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣻⣽⣾⣻⡷⣿⣧⣿⣿⡇⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣻⣯⣿⡽⣿⣷⣻⣿⡗⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣿⣿⣷⣿⣿⢯⣷⣿⡇⢼⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡧⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡛⡿⠿⢿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣻⣽⣾⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠎⣽⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⡿⠿⠿⠿⢿⣿⣿⣻⣾⡿⠿⠿⢿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⡾⢿⣿⣿⣿⣻⡿⠿⣿⣿⣿⠿⢾⣿⢿⠿⠿⠿⠿⠿⢿⣿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠈⢿⣿⣿⡇⠠⣤⣤⣄⠈⢻⣿⠁⢠⣴⣤⡀⠘⣿⠟⠁⣠⣤⣄⠈⢻⣿⠄⠀⣿⣿⣿⣿⠄⠀⣿⣿⣿⠀⢰⣿⣤⣤⡄⠀⣤⣤⣴⡇⠀⢠⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⡀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⡤⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡳⣌⢿⣿⣿⣍⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣼⡀⠸⣿⣿⡇⠀⠻⠟⠛⢀⣾⣿⣄⠈⠛⠻⢿⣿⣿⠀⢸⣿⣿⣿⡆⠀⣿⠇⠀⣿⣿⣿⣿⠂⠀⣿⣿⣿⠀⠠⣿⣿⣿⡅⠀⣿⣿⣿⡇⠀⠸⠟⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⢄⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢬⣾⣟⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢊⣯⣿⣿⣿⣷⡄⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⠛⠓⠀⠹⣿⡇⠀⣶⣶⣶⠀⢹⡿⠿⣷⣶⣤⡀⠙⣿⠀⠘⣿⣿⣿⠃⠀⣿⠁⠀⣿⣿⣿⣿⡃⠀⣿⣿⣿⠀⠀⣿⣾⢿⡆⠀⣿⣿⣿⡇⠀⢱⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠌⡠⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢱⣟⣧⡿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡟⣼⣿⣿⣿⣿⣿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⣷⣶⣶⣆⠀⢻⡇⠀⠙⠛⠉⣀⣼⣷⣀⠈⠛⠛⠁⣠⣿⣧⡀⠉⠛⠉⢀⣼⣿⡀⠀⠙⠋⠛⢹⣧⣀⠘⠛⠋⢀⣼⣿⣷⣻⡇⠀⣿⣿⣿⣇⠀⠘⠋⠛⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠠⠐⠈⣀⢂⠱⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⢣⣟⡿⣞⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢨⠐⠠⠐⠠⢌⠂⠀⠀⠀⠀⠀⠀⠀⡡⠂⡍⢶⣿⣻⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⣟⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠔⡂⠌⢠⠁⢎⡘⠀⠀⠀⠀⠀⠀⠠⠁⠤⢱⡘⣾⣿⣟⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠉⠉⠉⠉⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠛⠋⠛⣿⣿⣿⣿⡟⠛⠉⠛⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠋⠛⠙⠙⣿⣿⣾⣿⡋⠛⠙⠋⠋⠉⠋⠙⠉⠋⠉⠉⠉⠙⠙⠋⣿⣿⣿⠛⠋⠉⠙⠉⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠉⠛⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠋⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠜⡐⠌⡄⢊⠴⡉⠀⠀⠀⠀⠀⠀⠄⡉⠦⣡⢛⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⡿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⣊⠔⡡⠘⣌⠲⡁⠀⠀⠀⠀⠀⢈⡐⢠⠓⣬⢏⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣤⣶⣿⣷⣶⣦⣄⠀⠀⠀⠀⠙⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣽⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⢢⠑⡄⠳⣌⠣⠀⠀⠀⠀⠀⡀⠂⡔⢡⢚⣜⣫⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢠⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢰⡀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⡿⢈⢆⡱⢨⡑⠦⠁⠀⠀⠀⠀⠀⠄⢃⡘⢤⢫⡼⣹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣴⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⡆⠀⠀⠀⠀⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⡆⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣾⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⡇⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⡟⢠⡎⡔⢣⡝⡌⠀⠀⠀⠀⠀⠐⠈⡆⠘⣦⢳⡝⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣄⠀⠀⠀⠀⢻⣿⣾⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⠀⠀⠀⠀⠸⣷⠀⠀⠀⠸⣿⣿⣿⣿⣿⠇⠀⠀⠀⣰⡧⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣸⣿⣿⡀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣗⠨⡔⣡⠏⢶⡁⠀⠀⠀⠀⠀⠑⡂⢌⡱⣘⢮⢷⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣦⠀⠀⠀⠀⠹⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠸⣿⣿⣿⡏⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢠⣿⣿⣿⣧⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣆⡱⢆⡛⣦⠅⠀⠀⠀⠀⡐⢂⠱⣈⠖⣭⣞⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣧⡀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠄⠀⠀⠀⠀⣴⡤⢤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⢹⣿⡿⠁⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣾⣿⣿⣿⣿⣆⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣷⡘⢮⡱⣎⠇⠀⠀⠀⠀⡐⢂⠱⡌⢞⡴⣫⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠿⠛⠿⢻⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣷⡄⠀⠀⠀⠈⠂⠀⠀⠀⠀⣿⣿⣿⣿⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⡀⠀⠀⠀⢿⠃⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⣹⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠈⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡥⢳⡹⣎⡇⠀⠀⠀⢀⠰⣈⠒⣍⠞⣼⣳⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣽⣿⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡇⠀⠀⠀⠀⢼⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣇⡳⣝⠾⡅⠀⠀⠀⢌⢶⡠⣙⢬⢻⣼⣳⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠙⠻⠿⠿⠿⠛⠁⠀⠀⠀⠀⣠⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⢿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠻⣿⣿⣿⣿⡧⣹⢮⣟⡇⠀⠀⣈⠞⣣⡗⡌⡞⣧⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢻⣿⣿⣿⡳⣝⡞⣾⡇⠀⢠⠱⣞⡳⣿⢌⡳⣝⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⣀⣀⣀⣠⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣿⣿⣿⣿⣧⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣿⣿⣿⣿⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣾⣿⣿⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣤⣤⣤⣼⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣾⣿⣿⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣿⣿⣿⣱⢏⣾⢿⡗⠀⢢⡝⣲⡝⣿⢎⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣼⣛⡾⣿⣿⠀⢣⠞⣥⡻⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣶⢿⡽⣿⣿⡌⢣⣛⡶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣫⢷⣻⣿⣽⣿⣃⠧⣝⠾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣯⢷⣿⣿⣿⡃⢿⣜⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣻⣿⣿⣿⡝⡶⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿