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.
Moonripple Lake is a terrific and really gorgeous area. It is a town construct around the lake and if you are ultimately all set to get away the chaotic rhytms of large cities then this is possibly the most effective alternative... Well, at the very least that what our couple of major characters assumed when they left every little thing behind and moved below to start a new life. New area, new buddies, new journeys, new enigmas and new interest - below their life will be every little thing yet uninteresting! Just don't neglect that you can never get away from your past entirely...
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!
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!
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 a regular person who is drinking this night with his regular buddies at the regular bar. And soon you are going to miss all things regular - 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 regular anyway when you can come to be the absolutely new hero of "Fairy Tail" saga?
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...
This game will show you just how enjoying way too many erotics and porn can transform your life and your individuality... and to destroy every little thing simultaneously. Masturbating at all times on every hot gal around has ultimately lead you to the point when you barely can claim the difference between the relaity and your perverted creative imagination. Yet is this the reason to stop your goony way of living? Oh no, you wont stop when things are ultimately getting so intriguing!
Join popular adventurer Lara Croft as she is trying to reveal the enigma of a ancient and powerful artifact. Yet this moment you wont be just following her - in this game you will in fact be taking decisions for her and in this manner you will influence all the future events as our non-linear story unfolds! Will it get hazardous? Possibly! Will it get amazing? Without any kind of uncertainty!
You are playing as not so young professor who still cant settle his life. Yet every little thing adjustments after a series of strange events after which you end up in a special camp. From now on all of your actions will be focused on advancing your skills with all type of hot girls and if you will make use of these new possibilities appropriately then you will ultimately get what you wanted so much! "Harem Camp" is an adults only CG visual story with strong roleplay and monitoring components.
In this game you will enetr the world developed by Omnius. Fairly encouraging name for a goddess, eh? So no surprise that the realm of her creative imagination is loaded with all type of deviant creatures such as succubus and werewolves, vampires and monsters and even leprechauns. The only varieties that is missing is human. A male human. And now when you are below things are going to transform...
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!
This is the 0.65 release version of the parody game that Lumi and I have been working on. Far from done, but we just dreamed to get something out. At the moment only Toriel is applied. There might be more in the future. At the moment it is indeed just a naked bones functional chunk. To be implemented in the future are more characters, more dialog, and more art for the battle. Controls: Arrows to stir Z to select X to cancel C to open menu EDIT: As of the begin of 2017, both Lumi and I are just not financially stable enough to pursue this project anymore. We don't have the time, so for now this project will not be updated for the foreseeable future. Apologies to anyone who was excited about this
Sayans may consider themselves the hardest warriors in the cosmos yet Bulma recognizes without a doubt - their penis make them just as obedient as any kind of other males once they get hard... and when you are with Bulma on a nudist beach the boner is assured! Bulma's pussy versus Vegeta's cock - the most utmost battle of all! And only your actions will aid them to define the only victor!
Hinata can't wait for her very first real date with Naruto! And she would like to turn into a ideal girlfriend for him which means that she will have to master few sexual skills that she will afterwards use to please Naruto. But who can instruct her such skills ina very first place? Ofcourse she asks for advice from Elder! Yet little did she know that Elder is perverted enough not only to tell her about how to please a boy but also anxious to have training course along with her... what will Hinata do in such situation? You will learn only in case you will play this well made manga porn parody game where you will meet your dearest characters in a lot of questinable circumstances! A tiny bit of interactivity in lovemaking scenes contained! Even more manga porn parodies on famous anime series you always can buy at our website - don't forget to inspect it after you will finish to play this one!
If you ask Nami concerning Nico Robin then her solution will be something like "Nico sucks... and she does it like no person else!". Just how does she recognizes? Well, according to this short yet fun parody animation our redhead pirate becomes the owner of one large futanari cock! And who do you assume is going to suck it? Thats 'ideal - her new bff Nico! And of course, 'B 'in 'BFF 'absolutely represents 'blowjob '!
Who do you think are the most whorey mummies of the whole Konoha village? Kushina and Mikoto ofcoruse! And if you for some reason don't believe us then just see this manga porn parody animation that will display upclose how these curvy ladies are getting their butts fucked instead of punching some arses of the pervs who ar edoing this to them! And why they are cocksluts in that case? Just look at the size of the chisels they are being taken in by them very cock-squeezing buttholes and you will understand that only professional supersluts can do that! Or is it some kind of jutsu mechanism that all mummies of Konoha practicing? To response this question you should check our website and see what else characters of Naruto and his friends are luving ass-fuck fuckfest as much as these two!
This game will tell you the story about the Griffins family that you will never see on your TV screen. Since this is a story about cheating. And this the cheatre will likely be Lois. And cheating she will be not with some dude form commercials but with Donna - sexy wifey of their nighbor Cleveland! But the real idea of this manga porn parody game will be unveiled when Peter will abruptly comeback home sooner than he should be... and finds his front door locked while he have no keys! So he calls Quagmire to find some help and when they manage to open the door they will see... well, lets just say that the cheating will be uncovered! And this is not the end of the story but its rest part you are going to have to find out yourself by playing the game. Have a good time!
Ryuko Matoi is a badass chick from"Kill la Kill" who is always thirsty for hot act... and in this manga porn game parody she will get a great deal of it! As usual Ryuko Matoi's problems bengin with meeting her nemesis - Satsuki Kiryuin! This time for Ryuko the struggle is lost even before it has begin. Satsuki uses her techinque and summons material tentacles. They catch Ryuko and get her into position for public disgrace! One click - and in teh next scene some pieces of her uniform are all gone and these dirty tentacles begin their fun with Ryoko's body! Touched and teased and then fucked Ryko has no chance to break away this time! And if that was not enough she get her mouth overfilled with substantial spunk fountain - now the whole faculty will remeber who is Satsuki's bitch!
The Force Awakens? Th Lusr awakens! That's the sub-name for the scene of one of the most well-liked movie saga will work much better when it comes to interactive manga porn parodies! So wait no more and explore the never seen before sides of your favourite characters such Finn, Rey and even Captain Phasma! Right from the beginning you will find how much details will send you to the original movie series and since all the characters are also drawn alike their prototypes it is quite possible that you might like this version of Ray being interrogated First Order's evil leader even nicer than the one that you have watche don teh big screen. The reason is demonstrable - instead of talking too much virtually every one of the characters will go hetero to activity!
This next manga porn game is for all devotees of DBZ universe in common and characters of Goku and CHi-chi in particular. So if you always wante dto see this couple having hot lovemaking then this is your chance not only to see it but even take some part in the process. All that you need to do for that is to pick the kind of lovemaking style you would like to pleasure Chi-chi. After the activity will begin you will see two pubs that begin to cram up with different speed - pleasure bara nd stress club. If you are planning to win the game and see bonus cum-shot scene then you nee to cram up thepleasure club first-ever. To cool down the strain you should switch into idle mode. Or you could just switch teh game into see mode and disable both of this pubs if you want to concentrate on anime porn part of the game.
Discussion: Total Comments : 2
madcummer:
made me fuck my mom and cum in her ass and mouth
Justarandom901:
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡿⠛⠛⢻⣿⣿⠁⠀⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⢨⣿⣿⡀⠀⠂⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⡇⠀⠀⢀⣿⣿⡇⠀⠄⠻⣿⣿⣿⣿⣿⣿⣿⠟⠁⠀⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⠋⠉⢻⣿⡇⠀⠀⠀⢻⣿⡇⠀⠀⠀⢹⣿⣿⣿⣿⣿⡿⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠸⣿⣷⠀⠀⠀⠘⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⣿⠃⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⢠⢻⣿⣿⣿⣿⣿⡇⠀⢢⢿⣿⣿⡿⢿⣿⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠀⣿⣷⠀⠀⠀⠀⣿⡇⠀⠀⠀⢸⣿⣿⣿⣿⠏⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠸⣌⣿⣿⣿⣿⣿⡇⠀⠀⢻⣿⣿⡄⠘⣻⣿⣿⣿⣿⣿⣿ ⣿⡇⠀⠀⠀⢹⣿⠀⠀⠀⠀⣾⡇⠀⠀⠀⢸⣿⣿⣿⡏⠀⠀⠀⣰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⢻⠌⢻⣿⣿⣿⡇⠀⠁⣐⣿⣿⣇⠘⢸⣿⣿⣿⣿⣿⣿ ⣿⡷⠀⠀⠀⠀⢿⡆⠀⠀⠀⣿⣇⠀⠀⠀⣿⣿⣿⡟⠀⠀⠀⢂⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⡿⠛⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⢧⡊⢿⣿⣿⡇⠀⠀⠀⢻⣿⣿⠀⠠⣿⣿⣿⠉⠛⣿ ⣿⣿⠀⠀⠀⠀⣿⠇⠀⠀⠀⠈⠁⠀⠀⠀⠈⠛⠛⠁⠀⠀⢠⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠋⠉⠉⢀⠀⠄⠀⠀⠀⠀⠀⠀⠀⠒⠭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣻⣿⣿⣽⣾⣿⣿⣿⣿⣟⣿⣿⣾⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⠀⠀⠀⢫⡽⣿⣷⠀⠀⠀⢨⣿⣿⠀⠀⢹⣿⣯⠀⢈⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠃⠀⠀⠀⠀⠀⠘⢦⡀⢀⠀⡄⠀⠀⢤⡀⠄⡄⠻⢼⢧⡿⣿⣿⣿⡿⣿⣿⡿⣿⣟⣿⣿⣧⣿⣿⣿⢿⣟⣿⣧⣷⣿⣿⣿⡿⣿⣿⣿⢿⣿⣻⣿⣿⣿⢿⣿⣿⣼⣾⣿⣿⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⣷⣿⣿⣆⠀⠀⠀⢿⣿⡀⠀⣸⣿⣧⠆⠘⣿ ⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⡽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠈⠂⠀⠈⠛⣀⠻⢄⠦⣭⢲⡅⣸⡘⢿⣼⣶⣙⣳⣏⣿⣽⡿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣻⣿⣿⣿⡿⣿⣻⣽⣿⣿⣿⣯⣿⣿⢿⣟⣿⣷⣿⡿⣟⣯⣿⣿⢿⣿⣿⣿⢿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠑⠈⠈⠉⠉⠀⠀⠀⠀⠙⠳⠀⢽⣿⣿⠀⢈⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣀⢀⡀⣒⣬⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠈⠁⢠⡀⢌⢣⡟⡞⢯⣞⡷⣿⣿⣿⣿⣿⣷⣽⡞⣷⣿⣿⢿⣽⣾⣿⣿⣿⢿⣿⣿⣿⣻⣽⣿⡿⣿⣿⣻⣾⣷⡿⣿⣾⣿⣿⣻⣽⣾⣿⣿⡿⣿⣻⣿⡿⣷⣿⣿⣿⢿⣟⣿⣾⣿⣿⣿⣯⣿⣿⣿⣿⣻⣿⣿⣷⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠡⠀⠀⢹⣶⣾⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠂⠁⠁⠈⠀⠹⣦⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⢆⡘⢦⠹⣜⠳⢮⡝⣷⣻⢿⣿⣿⣿⣿⣿⣯⣿⣾⣿⣿⣯⣷⣿⢿⣿⣻⣷⣿⢿⣿⣽⡿⣿⣽⣿⣻⣾⢿⣿⣽⣾⣟⣿⡿⣽⣾⣟⣿⡿⣟⣿⣿⣟⣯⣿⣾⣿⣿⡿⣿⣽⣾⣿⢿⣟⣯⣷⣿⣿⣟⣾⣿⡇⠀⠀⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡾⠟⡽⣿ ⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠑⢮⣻⣿⣿⣿⡿⠿⠟⠛⠛⠻⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠦⠜⡠⠚⢤⢋⡜⢣⠹⣜⡱⢯⣿⣿⣿⣿⣿⣿⣿⣷⡿⣿⣿⣿⣽⣿⣻⣟⣿⣽⣾⣿⣻⣾⢿⣟⣯⣷⣿⣻⡿⣯⣿⣳⣿⣯⣿⣟⣯⣿⢿⣽⣿⢿⣳⣿⣿⣻⣽⣷⡿⣿⣿⢿⣻⣽⣿⣿⠿⠟⠿⠿⣾⣿⢾⣧⠀⢰⡧⠀⠠⣤⡄⠀⠀⠀⠀⠀⠀⠘⠁⠐⠸⣿ ⣿⣿⡅⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⠄⠈⠉⠀⠀⠀⠀⠀⠈⢡⡙⣼⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⡠⠠⢉⠆⠡⠏⠐⠆⠌⠢⡑⠌⠼⡹⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢾⣟⣯⣿⢯⣷⣿⣻⣽⣿⣻⡿⣽⣾⢿⣽⣿⣳⡿⣷⣻⣷⣻⣽⣾⢿⣻⣾⢿⣟⣷⣿⣻⣯⣿⣟⣿⣽⡿⣿⡟⠋⠀⠀⢀⡀⣆⣵⣻⣿⣿⣤⠟⠁⠀⢴⣿⣿⠂⠀⠀⠀⠀⠀⠀⠀⠀⠐⣿ ⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣠⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠆⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠐⠂⠤⠡⠌⠸⠀⠌⡀⠙⠌⡒⠱⣙⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣯⣿⡽⣿⣻⢾⣯⣷⢿⣳⡿⣿⡾⣟⣿⢾⣻⣽⡿⣽⣾⢯⣷⢿⣻⣯⢿⣻⣯⣿⢾⡿⣽⣷⡿⣯⣿⣟⣿⣧⣼⣿⣿⣿⣿⣶⣾⣵⣾⣿⣿⣿⣦⡀⢸⡿⢟⣢⣤⡄⠀⠀⠀⠀⠀⠀⠀⣿ ⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢠⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢃⠠⠁⠐⠀⠀⠀⠀⢄⠑⡾⢾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢷⣯⢿⣻⣽⣯⢷⣯⣟⣯⢿⡷⣟⣿⣽⣻⢯⣷⢿⣻⡾⣿⣽⣻⢷⣻⣟⣯⡷⣟⣿⣻⣟⣾⢿⣻⡷⣿⣻⣟⡿⣿⣽⣻⣟⣿⣿⣿⣇⠞⡩⢓⡈⣿⡄⣴⡏⢱⣿⣿⣶⡄⠀⠀⠀⠀⠠⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠠⣤⣰⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⠀⠀⠀⠀⢀⣌⠰⠄⠀⠀⠀⠀⣀⣈⣴⣩⣿⣷⣭⣻⣿⣿⣿⣿⣿⣿⣿⣿⣞⣯⣟⣯⣟⡾⣽⣻⢾⡽⣾⣻⣽⣻⣞⣷⣻⢯⣟⡿⣽⣻⢷⣯⣟⣯⣷⣻⢷⣻⢯⡷⣿⡽⣯⡿⣯⣟⣷⢿⣽⣻⢷⣯⢷⣯⢷⣻⢿⣎⣃⣀⣹⣴⢿⡁⢿⠁⣾⣿⣿⣿⡷⠀⠀⠀⠀⣿⣿ ⣿⣿⣿⡂⠀⠀⠀⣀⠐⠂⠀⠀⡀⠀⠀⢀⠠⣄⣦⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣠⣞⣷⣾⣿⣿⣿⣽⢎⠰⠁⠀⣶⣦⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣾⣳⣟⡾⣽⣻⢷⣯⢿⣽⣳⣟⣾⣳⣟⡾⣽⢯⡿⣽⢯⣟⡿⣾⡽⣞⡷⣯⢿⡽⣯⣟⡷⣿⣽⣻⢷⣯⣟⡿⣾⣽⣻⣞⡿⣞⣯⣟⣯⢿⣿⡿⣿⣿⣋⣠⢞⣾⣿⢿⣿⣿⢃⣼⡄⠀⢰⣿⣿ ⣿⣿⣿⠄⠀⠀⠁⠒⠒⠀⠘⠒⢝⠳⢆⣢⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⠀⣴⣿⣻⣻⣽⣯⣟⣫⡽⣿⠷⠀⠈⣿⣿⣿⣿⣿⡿⣟⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⢶⣻⢾⣽⣳⢯⣟⣾⡻⣞⣷⣻⣞⡷⣯⢿⡽⣯⢿⣽⣻⢾⣽⣳⢿⣽⣻⡽⣯⣟⡷⣯⣟⡷⣯⣟⡿⣾⣽⣻⠷⣯⢷⡯⢿⡽⣞⡽⣞⡿⣞⣿⣮⠿⡿⢋⣿⠟⣫⣾⣿⣿⣿⣿⡀⢠⣿⣿⣿ ⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠀⡀⠀⠠⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⢰⣿⣿⣿⣽⣾⣿⣿⣿⠿⠛⠀⠀⢀⠸⣿⣿⡿⠟⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣏⣯⢷⣯⣽⡻⣞⣷⢻⡽⣞⣵⣻⢾⣽⣫⢿⡽⣻⢾⣽⣻⠾⣽⢯⣞⣷⡻⣷⢯⣟⡷⢯⣟⡷⣯⣟⡷⣽⣳⢿⡽⣳⡟⣯⡽⢯⣽⢻⣼⢻⣼⣻⣯⠛⣿⣷⠿⡿⢟⣿⣿⠋⢠⠁⢸⣽⣿⣿ ⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⣴⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢣⣤⡀⠀⠀⠀⠀⣨⣿⠟⠉⠁⠛⠋⠣⢄⡾⠁⠀⢤⠈⠱⣿⣿⣷⣄⢀⣀⡰⣌⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⡼⡽⣞⡶⣯⣽⢻⡼⣏⣿⣹⠾⣭⢷⡾⣝⣯⡽⣏⡿⡶⢯⣿⡹⣟⡾⣳⢿⣹⢾⡽⣞⣿⣺⣽⣳⢯⣽⣳⢟⡾⣽⢳⣻⡵⣻⡝⣮⢟⣼⣛⡶⣏⢿⣦⢨⣷⠶⠋⣩⠟⠁⠀⠀⠂⡼⣿⣿⣿ ⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⠀⠌⠐⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⣿⠙⣆⠀⠀⠀⠈⠛⠒⣏⣁⣠⣤⣿⠟⠁⠀⣠⠞⠓⠀⠙⣿⣿⣿⡒⠨⠵⣛⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣵⢻⣝⡾⣵⣫⡟⣽⡽⢶⣏⡿⣝⣳⢯⣻⢼⣳⢯⣽⣛⡟⣶⣻⣭⢷⢯⣏⡿⡽⢾⡽⢶⣛⡶⢯⣟⡶⣏⣯⢟⡼⣏⡷⣹⢧⡻⣵⢫⡞⣵⢻⡜⣯⢾⣇⠻⠒⠂⠀⠀⠀⠀⢠⡃⢸⣕⣾⣿ ⣿⣟⠀⠀⠀⠀⠀⣀⣀⣀⣸⣤⣡⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡆⡿⢀⣾⠀⠀⠀⠀⠀⠒⠋⢛⡛⠋⠁⠀⠀⣸⠃⠀⠀⠀⠀⢸⣿⣿⣧⣌⠓⡱⣄⢱⣫⣿⣿⣿⣿⣿⣿⣟⡼⢧⣻⡼⢧⣗⣻⡵⣻⢽⡺⣽⢭⣛⡾⣵⣛⡮⣟⢶⣫⡽⣳⢧⣯⢻⡾⣹⠾⡽⣯⠽⣏⣯⢽⣛⣮⢷⡻⣼⢫⡽⣞⡽⣹⢞⡵⣫⢷⡹⣎⢷⡹⣎⣟⣿⣦⣤⣼⣤⣶⣶⣶⣿⣿⣿⣿⣿⣿ ⣿⠧⣧⣠⠖⡧⣛⢯⡻⣟⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣷⡁⢸⡇⠀⠀⠀⠀⠀⠠⡌⢂⣰⡄⠉⣠⣼⠋⣀⣤⡀⢀⣤⣾⣿⣿⣿⣿⣷⣵⣮⣷⣿⣿⣿⣿⣿⣿⣿⡷⣹⣛⢶⡻⣝⡮⢷⣹⠽⣞⣽⢺⣭⢷⡹⣖⢯⡳⡽⣎⡷⣝⡳⢯⡞⣭⢷⣫⢟⣳⡭⣟⡳⢾⣭⡳⣽⣚⠷⣭⢏⡷⣹⢞⡵⣫⢞⡵⣋⢷⡹⣎⢷⡹⣞⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣟⢹⣷⢃⣏⢲⡍⣶⡹⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⡿⣿⣷⠈⠷⡄⠀⠀⠀⠀⠐⣬⠟⢁⣴⣾⠟⠉⠐⠿⠛⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡝⣧⣛⢮⣗⡻⣜⢯⡞⣽⢺⡜⣧⣛⢮⡗⣯⢞⡵⣻⣜⡳⣭⣛⢧⡻⣝⢮⡳⣏⢾⡱⢯⣝⡳⣎⢷⣣⢏⡟⣾⡹⣞⡵⣫⢞⡵⣫⢞⡽⣎⢷⡹⣎⠷⣭⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣿⣿ ⣯⢺⣿⢢⢌⣣⡜⣧⡟⣽⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣻⣿⣿⣿⣧⠰⣾⠀⠀⠀⠀⠔⠃⢀⣟⣵⠋⠀⠀⠀⠀⠀⡀⠌⠈⢛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣜⢧⣛⠾⣜⡳⣝⢮⡝⣞⢧⡻⣵⢫⡞⡽⣎⠿⣜⡳⣎⢷⣣⠟⣮⢳⡝⣮⢳⡝⣮⡝⣳⢎⡷⣹⢎⢷⣫⢞⡵⣛⡼⣺⠵⣫⢞⡵⣫⢞⡝⣮⢳⣭⠻⣵⢫⡟⣻⣯⣭⣭⣥⣤⣤⣦⣤⣤⣶⣿ ⣧⣿⡟⣆⡚⠴⡛⢶⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣿⣟⣿⡿⣿⣾⣟⣿⡄⠀⡄⠀⠀⠀⠀⠀⣏⠛⢀⠂⡁⠀⢀⣀⢀⣤⣴⣬⣾⣮⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡳⣝⢮⣝⡻⣜⡳⣝⢮⡝⣮⢳⡝⣮⢳⡝⣣⢏⡟⣼⢳⡹⢶⣙⠾⣱⢏⢾⡱⢏⣞⡱⡞⡵⣫⡜⢧⣛⢮⡖⢯⢞⡱⣏⡳⣝⢧⡻⣜⢧⡻⣜⠧⣏⣖⢻⡜⢧⣻⣿⡿⣽⡿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣿⠟⡰⣍⠳⣽⢣⣟⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣻⣿⣿⢿⣷⣿⢿⣷⣬⣧⠀⠀⢠⡄⠀⠈⢡⣦⣷⠾⠿⠟⠛⠋⠋⠙⠉⠛⣛⡿⣿⣿⣿⠟⢠⣿⣿⣿⣿⣿⠷⣎⢷⡹⣞⡼⢣⣏⠷⣹⠮⣝⣎⠷⣹⠲⣏⡼⣣⠟⣼⢣⣏⢽⣚⣬⡛⡵⣎⢧⢫⡝⢦⣛⠼⣳⢱⣚⠧⣝⡲⣝⢫⡎⠷⣍⡳⣭⠞⣵⣋⢾⡱⣭⢛⡖⢮⣓⡞⢧⣽⣿⣿⣿⢿⣻⣿⣟⣿⣿⣿⣿⣿ ⣿⣿⣮⣵⣾⣷⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣷⣿⣿⣿⣻⣿⢿⣾⣿⣻⣿⣿⣧⠀⠘⢧⡀⢠⣷⠏⢀⡀⠀⠀⠀⢀⡀⠄⠤⢦⣳⣿⣿⣿⣿⣇⣰⣿⣿⣿⣿⣏⡟⣮⢳⡝⣶⢹⣓⢮⡝⢧⢻⠼⣜⣭⢓⡻⣌⡗⢧⡻⢬⣓⢮⠳⡜⣦⢛⡵⢎⢧⢫⡜⡳⢬⡛⢶⣩⠮⣝⡲⡝⣜⣣⢝⣫⠜⣧⢓⡻⢦⣹⢲⣙⢦⣛⡼⢣⣓⢞⡱⣺⣿⣿⣯⣿⣟⣾⣻⢯⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣟⣿⣿⣟⣿⣽⣿⢿⣿⣻⣾⢿⣽⣻⣿⣷⠄⡉⣥⢘⠲⠌⡀⠀⡁⠀⠈⠁⠀⠀⠐⣢⢿⣾⣻⣿⣿⣿⣿⣿⣿⣿⣟⡼⣹⢎⡷⣹⢬⡳⢎⣳⠺⣍⢧⣛⡜⢦⢏⡵⣚⡼⢣⡝⢧⠞⡼⣩⠳⣜⢣⠞⡭⢎⡳⡜⣭⢣⡝⢦⢣⡛⡴⡹⡜⣎⠶⣩⢖⡫⢖⡫⢵⢣⢇⠯⣜⡲⣱⢚⢧⡙⢮⢵⣿⣿⣿⣿⣷⣿⢯⣟⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣟⣿⣿⣻⣿⣽⣿⣻⣯⡿⣻⠀⠈⢻⣯⡱⣀⣄⡁⢀⠠⢄⡠⣠⣄⣻⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⡱⣏⡞⣥⢳⡭⣛⣬⠳⣍⠶⣣⠞⣭⡚⡴⢣⡝⣣⢞⡱⣫⢕⡣⢟⡬⢣⡛⣜⢣⢳⡙⢦⠳⡜⣭⢲⡙⢶⡱⡹⣌⢳⡱⢎⡵⢫⡜⣣⢏⣎⠳⣎⠵⣣⢏⠶⣙⢮⣚⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣿⣽⣿⣽⣾⣿⡽⠋⣰⣿⠀⡄⢤⡙⠷⣿⣿⣿⣷⣾⣶⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣽⡸⢇⡯⢶⡍⣖⠻⣌⠷⣱⢋⠶⡹⣜⢣⢞⡱⢎⡵⢣⢎⡵⢫⡜⣣⠝⣬⢣⢧⡙⣎⢳⡹⣰⢣⠝⡦⢓⡵⣊⢇⠧⣋⢖⡣⢞⡡⢞⢬⠳⣌⢳⡱⣊⢳⢩⢲⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⢿⣿⡿⡿⢿⠿⡿⢿⠿⠿⠿⠿⡿⢿⠿⡿⢿⠿⢟⠿⣛⠿⠿⠿⠿⠿⢿⡿⣿⣯⣿⡷⠟⣁⡴⢋⣿⣿⡆⢿⣴⣿⣶⣬⣿⢿⢿⡿⣿⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣧⡞⣭⠳⣍⠞⣥⣋⢗⡳⣌⠷⡪⣕⢫⡔⣫⢚⡜⢣⠞⣱⠚⡴⢣⢎⡵⢊⢧⠲⢥⡓⢮⢱⢋⡔⢣⢎⢣⡍⡲⣉⠶⡙⡬⢎⠵⢪⣑⢲⣉⠮⣑⢣⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠋⠙⠙⠛⠛⠿⢻⡏⣱⣿⣿⣿⣜⣳⣎⠷⣼⣫⣶⣳⣟⡶⣳⣶⣼⣚⣧⣾⣿⠿⣿⣮⣿⣟⣻⣦⣧⢳⡶⢦⣤⡖⡛⢩⡔⢸⣿⣿⣿⣎⡙⣛⠏⠙⠛⠻⢷⣶⣦⣌⣓⢮⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣭⣚⡑⣎⠣⣱⣬⣷⣿⣾⣿⣾⣿⣿⣾⣿⣿⣶⣯⣿⣷⣮⡖⣩⠲⣙⠦⡙⢦⡉⠶⡘⢥⢪⠱⡌⠵⣘⠲⣍⠲⣉⠮⡱⢌⡆⢳⡸⢡⡓⢺⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠀⠀⠀⣀⣾⢁⣶⣿⣿⣿⡾⣷⣾⣿⣿⣿⣿⣿⣿⣾⣿⣿⣷⣿⣿⡿⣾⣿⣶⣹⣏⣿⣱⢏⣹⣷⣿⣷⢾⣷⢿⠸⣇⢹⣿⣿⣿⣿⣷⡉⠀⠀⢀⠀⠀⠉⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣰⠹⣰⢇⠹⢆⠹⣆⠹⢆⠇⢷⡈⢷⡈⢷⠈⢷⡈⢶⢁⢇⡎⣱⠈⣇⢉⢹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⣸⣿⡄⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⣿⣿⣽⣯⣿⢻⡇⣿⣾⣿⣿⣿⣿⣿⡇⠀⡀⢌⢲⠠⢀⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣷⣦⡎⢓⢎⡱⢌⠚⣌⠚⡴⢘⢢⡉⢦⡙⠦⡘⢦⡉⢖⡸⢄⠫⡔⡩⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⢀⣼⣿⣿⣧⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢻⣿⣿⣿⣿⣿⣿⡀⢠⠵⣈⢦⣶⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣮⡶⢶⡍⢎⡰⢩⠰⡉⢆⠜⡰⡘⠴⣉⠦⡘⢦⡑⢎⡱⢌⡡⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⢀⣠⣴⣿⣿⣿⣿⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣯⣿⣿⣿⣿⣿⣿⣿⣧⣩⣾⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣟⣿⣶⡈⢇⡒⠅⡎⠬⡑⣘⠒⡰⢌⠱⢂⡍⡒⠴⡈⠖⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣶⣶⣾⣿⣿⣿⣿⣿⣿⣞⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣏⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡰⢌⠚⡄⢣⠜⡠⢣⠑⣌⡘⢢⠔⡱⢨⡑⣩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣛⣫⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣶⣷⣼⣤⣧⣜⣠⠜⠢⠜⡰⣁⠲⢄⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣳⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⢿⣿⢿⣿⣿⢀⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣾⣴⣨⣑⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣿⢻⣿⢘⣿⣿⡈⣹⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⢾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣽⣾⣯⣿⣿⣿⢨⣿⣿⡅⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣷⡿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⢿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣻⣽⣾⣻⡷⣿⣧⣿⣿⡇⢣⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣾⣿⣻⣯⣿⡽⣿⣷⣻⣿⡗⣸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣾⢿⣿⣿⣿⣷⣿⣿⢯⣷⣿⡇⢼⣿⣿⣿⣿⣿⣿⣿⣯⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⢩⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⡧⠀⠀⠈⠙⠻⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⣿⡛⡿⠿⢿⣿⣿⣿⣿⣿⣿⢸⣿⣿⣿⣿⣿⣿⢷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣷⣶⣶⣶⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⣻⣽⣾⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣟⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠎⣽⣿⣿⣿⣿⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⢿⣿⣿⣿⡿⠿⠿⠿⢿⣿⣿⣻⣾⡿⠿⠿⢿⣿⣿⣿⣿⠿⠿⠿⣿⣿⣿⡾⢿⣿⣿⣿⣻⡿⠿⣿⣿⣿⠿⢾⣿⢿⠿⠿⠿⠿⠿⢿⣿⠿⠿⠿⠿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠿⢛⠛⠛⠛⠋⠉⠉⠉⠉⠉⠉⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠈⢿⣿⣿⡇⠠⣤⣤⣄⠈⢻⣿⠁⢠⣴⣤⡀⠘⣿⠟⠁⣠⣤⣄⠈⢻⣿⠄⠀⣿⣿⣿⣿⠄⠀⣿⣿⣿⠀⢰⣿⣤⣤⡄⠀⣤⣤⣴⡇⠀⢠⣤⣤⣤⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠉⠁⡀⡴⠛⠁⠀⠀⠀⠀⠀⠀⠀⠀⠄⡤⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣟⡳⣌⢿⣿⣿⣍⠛⠛⠻⠿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⣼⡀⠸⣿⣿⡇⠀⠻⠟⠛⢀⣾⣿⣄⠈⠛⠻⢿⣿⣿⠀⢸⣿⣿⣿⡆⠀⣿⠇⠀⣿⣿⣿⣿⠂⠀⣿⣿⣿⠀⠠⣿⣿⣿⡅⠀⣿⣿⣿⡇⠀⠸⠟⠿⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠋⠁⠀⠀⢄⢁⠂⠀⠀⠀⠀⠀⠀⠀⠀⠀⡐⢬⣾⣟⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⢊⣯⣿⣿⣿⣷⡄⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠘⠛⠓⠀⠹⣿⡇⠀⣶⣶⣶⠀⢹⡿⠿⣷⣶⣤⡀⠙⣿⠀⠘⣿⣿⣿⠃⠀⣿⠁⠀⣿⣿⣿⣿⡃⠀⣿⣿⣿⠀⠀⣿⣾⢿⡆⠀⣿⣿⣿⡇⠀⢱⣶⣶⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠁⠀⠀⠀⠌⡠⠌⠀⠀⠀⠀⠀⠀⠀⠀⠀⠠⢱⣟⣧⡿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣯⡟⣼⣿⣿⣿⣿⣿⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⢀⣷⣶⣶⣆⠀⢻⡇⠀⠙⠛⠉⣀⣼⣷⣀⠈⠛⠛⠁⣠⣿⣧⡀⠉⠛⠉⢀⣼⣿⡀⠀⠙⠋⠛⢹⣧⣀⠘⠛⠋⢀⣼⣿⣷⣻⡇⠀⣿⣿⣿⣇⠀⠘⠋⠛⠙⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠠⠐⠈⣀⢂⠱⠀⠀⠀⠀⠀⠀⠀⠀⠠⢀⢣⣟⡿⣞⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣿⣿⣿⣿⣿⣄⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⢨⠐⠠⠐⠠⢌⠂⠀⠀⠀⠀⠀⠀⠀⡡⠂⡍⢶⣿⣻⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣻⣽⣟⣿⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠔⡂⠌⢠⠁⢎⡘⠀⠀⠀⠀⠀⠀⠠⠁⠤⢱⡘⣾⣿⣟⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠿⠛⠋⠉⠉⠉⠉⠉⠙⠛⢿⣿⣿⣿⣿⣿⣿⣿⠛⠋⠛⠋⠛⣿⣿⣿⣿⡟⠛⠉⠛⠙⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⠙⠋⠛⠙⠙⣿⣿⣾⣿⡋⠛⠙⠋⠋⠉⠋⠙⠉⠋⠉⠉⠉⠙⠙⠋⣿⣿⣿⠛⠋⠉⠙⠉⠛⠻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠛⠉⠉⠉⠛⠋⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠟⠛⠉⠋⠛⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡃⠜⡐⠌⡄⢊⠴⡉⠀⠀⠀⠀⠀⠀⠄⡉⠦⣡⢛⣾⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠋⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠈⠻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠙⣿⣿⣿⣿⡿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⡿⣿⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⣹⣿⣿⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠅⣊⠔⡡⠘⣌⠲⡁⠀⠀⠀⠀⠀⢈⡐⢠⠓⣬⢏⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⠁⠀⠀⠀⢀⣤⣶⣿⣷⣶⣦⣄⠀⠀⠀⠀⠙⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠈⢿⣿⣿⣿⣽⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣶⣿⣿⣿⠀⠀⠀⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⣿⣿⠐⢢⠑⡄⠳⣌⠣⠀⠀⠀⠀⠀⡀⠂⡔⢡⢚⣜⣫⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⢀⣾⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⢿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢠⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣿⡏⠀⠀⠀⢠⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⠃⠀⠀⠀⢰⡀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⡿⢈⢆⡱⢨⡑⠦⠁⠀⠀⠀⠀⠀⠄⢃⡘⢤⢫⡼⣹⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣴⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⡆⠀⠀⠀⠀⢹⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣷⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⢸⡆⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⣾⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⣿⡇⠀⠀⠀⠈⢻⣿⣿⣿⣿⣿⣿⡟⢠⡎⡔⢣⡝⡌⠀⠀⠀⠀⠀⠐⠈⡆⠘⣦⢳⡝⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⠀⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣄⠀⠀⠀⠀⢻⣿⣾⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⢻⣿⣿⣿⣿⠀⠀⠀⠀⠸⣷⠀⠀⠀⠸⣿⣿⣿⣿⣿⠇⠀⠀⠀⣰⡧⠀⠀⠀⠀⣽⣿⣿⣿⣿⣿⣿⡿⠀⠀⠀⠀⣸⣿⣿⡀⠀⠀⠀⠸⣿⣿⣿⣿⣿⣿⣗⠨⡔⣡⠏⢶⡁⠀⠀⠀⠀⠀⠑⡂⢌⡱⣘⢮⢷⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣦⠀⠀⠀⠀⠹⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣇⠀⠀⠀⠸⣿⣿⣿⡏⠀⠀⠀⢠⣿⡇⠀⠀⠀⠀⢺⣿⣿⣿⣿⣿⣿⠁⠀⠀⠀⢠⣿⣿⣿⣧⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣆⡱⢆⡛⣦⠅⠀⠀⠀⠀⡐⢂⠱⣈⠖⣭⣞⣻⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣧⡀⠀⠀⠀⠘⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⠄⠀⠀⠀⠀⣴⡤⢤⣤⣤⣤⣤⣤⣤⣼⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⡄⠀⠀⠀⢹⣿⡿⠁⠀⠀⠀⣿⣿⡇⠀⠀⠀⠀⢻⣿⣿⣿⣿⣿⠃⠀⠀⠀⠀⣾⣿⣿⣿⣿⣆⠀⠀⠀⠀⢿⣿⣿⣿⣿⣿⣷⡘⢮⡱⣎⠇⠀⠀⠀⠀⡐⢂⠱⡌⢞⡴⣫⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡇⠀⠀⠀⠀⢹⣿⣿⣿⣿⣿⣿⣿⣿⡿⠟⠿⠛⠿⢻⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣷⡄⠀⠀⠀⠈⠂⠀⠀⠀⠀⣿⣿⣿⣿⡄⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⡀⠀⠀⠀⢿⠃⠀⠀⠀⣼⣿⣿⡇⠀⠀⠀⠀⣹⣿⣿⣿⣿⡏⠀⠀⠀⠀⠀⠁⠈⠀⠀⠀⠈⠀⠀⠀⠀⠈⣿⣿⣿⣿⣿⣿⡥⢳⡹⣎⡇⠀⠀⠀⢀⠰⣈⠒⣍⠞⣼⣳⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⡀⠀⠀⠀⠈⢿⣿⣿⣿⣿⣿⣿⣿⠇⠀⠀⠀⠀⢸⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⠀⠀⠀⠀⣿⣯⣽⣿⠃⠀⠀⠀⠀⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣧⠀⠀⠀⠀⠀⠀⠀⣰⣿⣿⣿⡇⠀⠀⠀⠀⢼⣿⣿⣿⡟⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠘⣿⣿⣿⣿⣿⣇⡳⣝⠾⡅⠀⠀⠀⢌⢶⡠⣙⢬⢻⣼⣳⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣧⡀⠀⠀⠀⠀⠙⠻⠿⠿⠿⠛⠁⠀⠀⠀⠀⣠⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣆⠀⠀⠀⠀⠀⠀⠀⣿⣿⣿⣿⠀⠀⠀⠀⠀⠛⠛⠛⠛⠛⠛⠛⠛⠛⠛⠻⢿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣇⠀⠀⠀⠀⠀⢀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⠁⠀⠀⠀⠀⣼⣿⣿⣿⣿⣿⣿⣿⣿⡆⠀⠀⠀⠀⠻⣿⣿⣿⣿⡧⣹⢮⣟⡇⠀⠀⣈⠞⣣⡗⡌⡞⣧⢿⣽⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣄⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢀⣴⣿⣿⣿⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⣿⣿⣿⣿⣿⣦⡀⠀⠀⠀⠀⠀⣿⣿⣿⣿⡁⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⢸⣿⣿⠀⠀⠀⠀⠀⣿⣿⣿⣿⣿⡄⠀⠀⠀⠀⣾⣿⣿⣿⣿⡇⠀⠀⠀⠀⢸⣿⣿⠃⠀⠀⠀⠀⢰⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡀⠀⠀⠀⠀⢻⣿⣿⣿⡳⣝⡞⣾⡇⠀⢠⠱⣞⡳⣿⢌⡳⣝⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣶⣤⣄⣀⣀⣀⣀⣠⣤⣴⣾⣿⣿⣿⣿⣿⣿⣿⣤⣤⣤⣤⣤⣿⣿⣿⣿⣧⣤⣤⣤⣤⣼⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣿⣿⣿⣿⣦⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣤⣾⣿⣿⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣤⣤⣤⣼⣿⣿⣿⣿⣿⣧⣤⣤⣤⣤⣾⣿⣿⣤⣤⣤⣤⣤⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣤⣤⣤⣤⣤⣿⣿⣿⣱⢏⣾⢿⡗⠀⢢⡝⣲⡝⣿⢎⣵⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡟⣼⣛⡾⣿⣿⠀⢣⠞⣥⡻⣽⣾⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡹⣶⢿⡽⣿⣿⡌⢣⣛⡶⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣷⣫⢷⣻⣿⣽⣿⣃⠧⣝⠾⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡽⣯⢷⣿⣿⣿⡃⢿⣜⣻⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿ ⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⣽⣻⣿⣿⣿⡝⡶⣭⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿