But um you can you can see that you you were like close and still you were like zero point. Five percent off i’m, not banking. Like zero point. Five. Are you kidding me? It’s, not my job in precision. [ Music ] is the bounty worth 25 33.
In this video. We’re, going to be talking about this widely debated topic recently, especially on twitter and my today’s, guest nico, uh, v, gray or w3c ray. However, you pronounce your nickname. However, he’s.
The founder creator of the bounty course you can call him the godfather of pkos. He has been inventing a lot of approximations and models in order to estimate the value of bounties how to calculate them.
A lot of the signs, a lot of the approaches you find out there today is based on his work. He has a big mathematical background. You can call him the professor of bounties, so yeah i’m very, very proud to have him on the team to create such a valuable course and yeah.
Today, we’re, going to be debunking the myth 25. 33. Perhaps 40. I mean we have been uh talking about it already at different times uh, but today we’re, going to show you a little or he’s, going to show you some of the approaches, some of the yeah estimations he was doing In order to give you a better idea how to estimate the value of bounty or off of the bounties in order to make a better decision game nico welcome? That was a long introduction.
But i’m very happy. You’re, going to be you’re here today. Yeah, hello, hello, hello! Let’s, go okay! We have a little pro. He has prepared a little presentation for you guys. So let’s, jump right into it, nico the show is yours: let’s.
Okay, let’s. Talk it through. Why, first of all, is it 33? Is it 25 the beginning of the tournament? What is the yeah? What are the common mistakes in these days when it comes to uh calculating the value of a bounty? Well, there’s, only one mathematical sound answer and that’s.
25, like there’s, there’s, no room for a debate. You can easily show that that’s, the correct value, okay! So then let’s. Let’s, get into it. I’m excited okay, then uh yeah. Here we go uh. Probably just a quick note, uh.
I know you will see a couple of numbers. You will see a couple of calculations. Just take the next three minutes. Watch it probably rewatch it. If you are really interested in it um i will show you the setup.
I will show you the result and afterwards we will discuss a little bit: um yeah the result of the full model. So what how it should impact your game, yeah, right and uh yeah. First, which kind of setup we are taking uh 5k starting stacks blinds are 150 and nts, 12.
5, 13 and pko, of course, hundred dollars. So fifty dollars are going into the regular price pool. Fifty dollars are going into the bounty price pool. We’re, not considering rake right now for simplicity.
We are not gon yeah. We are not considering rake uh in this simple calculation here and uh it’s, actually also not um important for the value of the bounty calculation. Actually, rake is only determining your rri in the tournament right, so for this mathematical calculation it’s, not important and um.
We are looking at a very, very simple um action on the table. Button is open, jamming small blind is folding. We are sitting in a big blind and we have to decide which combo we can call against the button range.
So what we need is an equity right and you have certain different ways to calculate equity and i will show you know the mathematical way. The mathematical steps, how you end up with the equity and then in the end, recalculate this equity into the value of the bounty in chips at the very start of the tournament yeah.
This is also something you are you’re explaining in the course of course i mean this is just the first step in order to master bounty tournaments. There’s, so much more to that uh. You will also find in the bounty course uh mighty way approaches for different stages.
I think you also provide charts that help you to understand the yeah uh, the equity drop uh or the additional equity that is required for certain bounties or certain stages in the tournament. So very simplified approach, so you have a very practical approach to estimate.
Okay, how much more equity do i need or how much more equity do i actually get, because there is a certain bounty in play also for certain scenarios. So when you’re covered, when you you, you cover someone else, there are lots of different pre-flop ranges.
That is actually i haven’t, seen it anywhere else, but in the course where people have a much better orientation. What kind of ranges to play? What kind of ranges to stack off against certain stack size with certain bounties? So it’s? It’s, it they’re, so much more uh provided in the course than just you know.
Explaining what’s, the difference between 25 and 33 yeah, of course, um, probably also after the presentation, i give you like a little take on the whole chip approximation. If you should use it or not.
In my opinion, there are way better methods to make your in-game estimation way faster and that’s. What matters that you make the right decision in game and not uh yeah using an approximation for your studying, yeah uh in-game it’s.
It’s, the most important to come up with a quick equity. Okay, i need 40. Then i can call this and that right um, but uh yeah. Let’s. Do this after the short presentation uh. What are the mathematical steps? Um? First of all, we need to get this equity to call the all in and um we will do.
We will calculate this equity by stack dollar ioe. This means we are looking into three possible outcomes for the hand just to interrupt you um, because there are a lot of viewers that might just tune in stack dollar v essentially just means.
What is your stack worth in dollar in cash games? You have let’s say you play another 100, you get 100. Your stack is worth 100 uh. If you start a tournament, your 5k, let’s. Let’s. Take let’s. Let’s.
Take that example of your starting stack. 5000 ships at the beginning of the tournament are probably going to be worth around 100 right or at the very start. It’s. It’s worth 100 dollars. Let’s. Take it yeah, let’s.
Take just for you to understand the difference. Let’s say for whatever reason you have 5000 ships. Maybe you approach the bubble. You’re in the stone bubble. You lose a big pot and you have one big plant left and this one big band are your 5 000 chips.
This stack because you’re so close to the money, is going to be worth way more than just 100 right yeah. Probably if the min cash is 100, then this stack is worth adsense. You will post the ante. In the next hand, the stack is not worth um the the min cash, but they will be like not like five cents or like one dollar.
It would be like seventy dollars or so of them in cash. So so you have. You have like 50 big blinds, that is worth 100, and now you maybe have one big blind and it’s still like it’s, going to be close to 100, even just more than 50.
So you see like, even though you have like essentially, your stack is like 50 times less than at the beginning of the tournament um, because you only have one big blind. You still have the same amount of chips, but everyone else has so much more chips.
It’s, still very, very valuable, like in terms of of the the stack dollar ev your chips, your stack is still quite valuable, yeah that’s, true and and the way how equity here is calculated. I will come to this now, like very very shortly.
The way how equity here is calculated is the same way. How simulation programs like here is amazing, calculating the equity and out of this equity, the the range composition, yeah, so um. I will show you this in the end of the presentation that everything is sound but yeah.
First of all, we need stack dollar. Avs means. How much is my stack worth when i win the hand? How much is my stack worth when i lose the hand and how much does my stack work when i tie the hand yeah very basic, yeah, very basic um factors for uh, calculating statistic, statistical likelihoods right? You always need to consider all possible outcomes, winning the hand losing the hand tying the hand right just as a as a background, yeah and and and we are comparing all of those possible outcomes where we take the action.
We call the l in to the action we fold preflop and there we can also calculate the stack dollar av since we will lose one big blind, our stack dolly. We will be a little bit lower than hundred dollars.
Yeah all right out of this. We can actually calculate the equity um. Equity is bad, divided by bad plus pot or one divided by one plus pot odds and in the stack dollar av calculation. It’s. The increase of your stack.
If you win the hand divided um, you need the increase of the stack when you win the hand and you compare it to the decrease of value of your stack. If you lose the hand – and you can calculate an equity out of that yeah and we will decrease decrease – is if you lose the all-in not losing that big blind correct.
Losing the big brand is just the benchmark, so we lose the actual. The actual decrease. Is you compare you lose the hand to you, fold, preflop, okay and the difference between of that is the decrease and yeah instead effective, stack dollar which you use for the equity calculation, but just as an understanding don’t don’t.
Make it too complicated? Okay, just no! I just i really want that that everyone that is listening and i try to approach it from a very, very uh, from a very simple way that okay, we need to compare the outcome with what happened if or with with the result of us losing one big Plan if we fold right that’s, the benchmark and correct, we essentially, we essentially want to make the play if the play provides us losing 0.
99999 big blinds, because that’s better than losing one big blind. And then we make the call the moment we only lose 0.999 big plans. We want to call because folding will lose us one big blind, correct and i will just quickly show you the calculation and excel it’s, a very simple calculation.
So you have seen it once and i will use the numbers in the next slide. So i will just drag over my extra calculation here and i show you the setup it’s, the same setup: 1000 players. We have 50 on the regular price per from each player 50 and the bounty price per from each player.
We have 5 000 starting stack. Total number of chips here is 5 million, so five thousand starting stack times thousand players. Why do you need the total chips? Um, you need to know how much your share on the total ships is, because you will multiply, then your share on the total chips with the total price pool, and this will give you a stack dollar ev.
Okay, i will show you this here, so this will be our stacked dollar ev. If we win the hand our stack value, it will be 227 dollars, and how do i come up with this value will only show this value. The rest is like calculated the same way.
So how do you calculate it? You win the stack of your opponent, you keep your own stack, the five thousand okay, so this is ten thousand. Then we win the small blind since he did false pre-flop and then we win for simplification, seven times the ante, so i keep the five thousand okay so seven times the ante for a nine in the table, and now i have my stack when i win the Hand i divide this by the total amount of chips.
I’m playing the five million, and i multiply this with the total prize pool and don’t. Forget we win the bounty 25 dollars right. We win only half of the bounty. We don’t win the whole bounty in the pkl.
The other half goes on to our own. Other half goes on our hat. We then have a total bounty of 75 dollars and if someone busts us, he wins 37 and 50 cents. So this will be our stack value if we win the hand if we lose the hand we are bust, our stacked value is zero and if we tie the hand we win, uh half of the small blind and half of all the antis of the other players Right, which is in the pot, if we fold, we lose one big blinds.
So in this case we lose two dollars and 25 cents, so our actual increase of the stack is 130. If we win the hand we compare this to folding and our decrease of our stack, if we lose the hand compared to folding, is 97.
75 dollars and now out of those numbers 130. Sorry to interrupt. The 130 increase is from comparing four 27 0.75 minus the like. Okay, yeah correct correct: this is 130 and this is 97.75, so how to get an equity out of this, you calculate the decrease of stack dollar value, divided by the increase of stacked, low value, plus the decrease of stack dollar value.
I did show in the course that this formula is like very, very accurate, all right, and then we get an equity, so needed equity here to call off deal in 42.9 percent. Now we are hopping back to the presentation you’ve, seen all the values and i’m using the exact values here in the slide.
Those are the values which you did just see in the calculation all right now. This is the equity which we had 42.9 and by the way in a non-ko, the equity which you need is 48.3. So in this case you can already see you need approximately 5.
4 less equity. If someone goes all in from the button with 50 big blinds, you’re in the big blind very first hand. Again it’s, not a very realistic example, but you can take this approach for i mean here.
We just try to explain you. I just want to try difficult approach: okay, yeah, okay, exactly right! Don’t, just don’t need to use a realistic example to do that. So 50 big blinds all in on the button.
You need in a pico tournament around 42.91, if it would be a non-ko tournament, 48.3 percent yeah it’s close to 50 right stacks are pretty big. Flights are very small so and it’s, never going over 50.
Unless you are regarding icm influences, i mean, if you already need 43 there already a couple of hands that you can gamble with. There are actually a lot of fans which you can play in this in this scenario so um again, our equity was one divided by one plus part odds, and now we have already calculated the equity using our stack dollar values.
Now we can also go other way around and use the chip, values right, and the chip values in our case would be one divided by one plus part odds. The stack of our opponent is inside. Our big blind is inside of the pot.
Small blind is inside of the pot nine times the ante is in the pot and we have to call the stack of our opponent minus the big bind we have in the pot and yeah. Now the bounty value is the thing which we are interested in.
This is exactly the difference between those two numbers this x. This is the amount of chips we now have to do put additionally into the pot to get instead of the 48.3 percent to 42.91, and this amount of chips we can calculate so we calculated we just um.
This is a copy of the last uh slide, and then you can just like simply calculate this x on the left side right like in school, exactly simply like in school. If you, if you do it with your pocket calculator, you can just type in now the stuff which you have here so the needed equity and all of this then uh you get a value of x of 1250 and 1250 was exactly 25 of a starting stack.
Since we did start with 5k magic, 25, yeah and uh, now of course, it’s, a calculation most of your, like viewers, and all of my students are obviously using programs to calculate stuff. So we can just like simply show in a very quick step that this is true and i will i will just run the sim from the start sim running here.
It takes i don &, # 39 t, know 20 seconds or so so how does the setup look like? We are at the very start of the tournament. Everyone has 5 000 chips, everyone has start bounty, we have a total of 1 000 players and we have jam only okay and now we look into the situation.
Button is open jamming, we are sitting in the big blind and we have to consider what we want to call and the simulation program for pko tells us okay. This is our coding range against the nash, equilibrium, open, jamming range of the button of 18, and we did calculate an equity 42.
91. So is this the correct equity which we have like put into the calculation to recalculate the value in chips of the bounty right? So if this is the equity, then everything is sound. Everything is correct and we can easily go over to equilab.
I take the exact same button, open, jamming range here and say: okay, i need forty two point. Nine forty two point: nine percent for 2.9 percent. Give me my hand range take to the main window, and now i will overlap the both ranges.
So this is the range here close it and there you go. I think now, in the end, uh with all the math i did show that 25 must be the correct value. We are matching 100 percent, also the simulation result of hse and, of course, from all the knowledge i mean, the knowledge is not new.
The knowledge is out since approximately two years, or so so uh it’s, not something like completely new, and i’ve done this calculation over and over again for students in the course so um yeah, of course, yeah it’s true, but uh, of course, also for the youtube audience it’s, probably important to see that this is matching and uh yeah.
What is finished? What is the magnitude of the error if you would have used 33 in the early stage of a tournament? Obviously, very small, since we would add 1660 chips to the pot instead of 1250 chips, so the difference in chips is 300 in a pot of five k, plus five years for in a pot of 10 10.
2 k. So we probably talk about less than an equity. In percent, less less than a percent yeah like on average, it’s like 0.8 or so difference it’s like very neglectable. Do we want to have like a little little example of how close we can match? Uh combination against the range right, so we have bands to be here onto like very best poker players in the world since forever and uh.
My question to ben is now uh queen ten suited against this range. How much equity does queen gen suit up? Have? We can afterwards directly see in against that button range against against uh yeah, of course, against this button here i would guess around 40 41, 40 or 41.
see. This is already important right. Let’s say since we are talking about the experiment. 40. 40.5 40.5, all right and that’s, approximately 42 percent. Okay. So so uh it’s. It’s, actually pretty good.
Obviously right it’s like for in-name approximation. You say: okay yeah! I know i have approximately 40 percent 41 percent and i see okay, the bounty value is this and that minimum equity is like 42. It might be close.
It’s, probably called probably a full right um, but you you know like it’s, not a wide range. It’s, not a like hard constructed range and still you are as one of the very best off like 1.51 in most of the cases and that’s very natural, you’re, not a computer.
Obviously, you will be off right and if you talk about use 33 or 25 uh, the equity difference will be like at most one percent. But you are not nailing it for four one percent error margin, so i think, like most of the players won’t nail it for one percent error margin.
If we take it from that, yeah sorry go ahead. Sorry to interrupt you! I i would. I would say for the chip approximation: it’s over obviously good to have the correct approximation right. It’s, good, to sit there and say: okay, this is the mathematic correct value, and i want to use this, and i want to use also the correct progression of this.
We will come to this in a second but um like for the very first hands in the tournament. If you use 25 or 33, it will end up, i think, for most of the players in this exact same calling range exact same decision for okay.
I have combo xy, i think my opponent ‘ S range is y z and i think i call or don’t, because i have equity of 40 percent yeah and then in reality it’s 43 or 38 right. The error margin is actually pretty big, so uh when, when it comes to like estimation of equity of a combo against the range for most of most of the players, i was just.
I was just about to say that, can you can you put the range back on the screen that if you use 33 instead of 25 percent, the calling can you go to the calling range yeah, the let’s say the a7 suited would still Remain a forward ac suited would still remain marginal and ace 9 suited would still be a profitable call if we consider it profitable.
So it’s, never really going to change any of those calling hands. Where you have let’s, say a margin call. If let’s say you would consider the 25 approach and then with 33 percent it’s like fist, pump, snap call and printing that’s, not gonna happen.
This is something you need to keep in mind and nico. I know you uh, you’re a little reluctant, but there was at the very early stage of pkos um, the first approximations simulations that were made aimed more towards okay.
We should be using a 35 approach, but then, as you said, i think already two years one and a half years ago you added to the course i remember i made a youtube video one year ago, where i uh. I said that 33 is a little off at the beginning.
It’s 25, and this is something you’re gonna be talking about now that actually the value of the bounty is also going to be changing throughout the tournament. So it’s, going to reach those to 30 percent 33, 40 even 45, depending on how many people have bust from the tournament.
So that’s very important that it’s, not static, it changes it increases in value. So the moment people start busting and money is being taken out of the bounty price pool the value. Of course it’s not going to be like first play a bus, and it goes from 25 to 30 percent.
But if 80 are left, 70 of the field are left or 60 percent it’s, going to have an impact of the value of the bomb of the of a bounty, not a huge one. Uh we see like everything between 25 and 33 is not going to have a big impact.
However, i’ve, seen coaches and schools teaching it’s 50, that’s totally off and that’s just so wrong um. But i think everything that you’ve, been using between 25 and 33 percent. Don’t be too hard on yourself.
You weren’t doing, i would say any mistakes at all, because a lot of the times when we make in-game decisions based on bounties, we have a feeling of kids marginal and whether you using the 25 or 35 uh uh calculation, it’s not going to have such a big impact, yet it’s, so much more important to consider further factors such as future game.
Who are you going to cover? What are the sizes of the bounties that you’re going to cover? What are you going to lose in terms of your situation? If you lose the all-in, are you still going to be covering any stacks if you lose and you’re, the shortest stack on the table? This has a devastating impact on your future game.
So you should maybe even skip a modular spot, but if you maybe or if you win, you can’t cover the entire table. Maybe there’s, a five big blind stack or sorry. A 20 big brand stack with a huge bounty that you cover it’s way more worth than to gamble a little bit and to take a module in these factors are so much more important than you know.
The 25 versus 33 approach totally agree. There are way more important factors and way more interesting things to learn actually for pcos than uh, which kind of how much how much chips do. I had have to add to the pot, and let me probably now give a last take on this whole chip.
Approximation method, since i’m, not a big fan of it um the problem with this approximation, maybe also again explain it. What does it exactly mean yeah? This is this. I mean this. This whole thing, which we are discussing right now that uh we take a certain value of chips, and we add this to the pot.
Then we get new pot odds. Then we get a new equity. We have to do everything of this in our heads right and then we end up with equity number, and then we have to estimate against our opponent’s range with this new equity.
Okay, is this a call? Is this a fault if you’re playing more than one table? I bet that hundred of hundred. If i ask hundred players, i get hundred different answers and zero of those answers are right, yeah right so per se.
I would say this is a very, very inferior method to estimate the bounty value compared to all other methods which are like on the market or taught in the course right. So um. We have like very easy way to estimate the value of the boundary.
Just look into two different things: okay, how much bounty does he have? How much stacks does he have compared to your starting stack? Okay, that’s, a ratio? You get just a very simple number, very simple calculation, look up uh into a tabular.
What is the value of the boundary ready done? No calculation needed right and you skip like five steps and and all those of those five steps. You will make mistakes since you’re, not a calculator. You’re, a human being right.
So um your estimation of the equity and the end will be like i mean again, i can ask you: if you get odds of 1.6 to one, then what is the equity? Sorry one point one point: six to one: what’s, the equity uh 38.
I mean it’s, not like that. I’m, a math with it. It’s. Just i i i have orientation and it’s, actually pretty close right. It’s. 38.5. I know that one one one to two: if you get two to one the word you get, you need to be right every every third time.
So thirty three percent yeah right one, two, three, twenty five one to one, fifty percent. So now, if you get one point six to 1, it’s somewhere between 33 and 50, so it’s, probably going to be 38 to 40, and that’s totally sufficient.
You don’t actually need to know the you don’t need to understand the formula or the equation, or you don’t need don ‘ T need to be math with it. You just need to be clever and just remember a few of those um thresholds or benchmarks, or even want to call it.
So one to two is 33. one: two uh one is fifty and then 1.6 is somewhere in the middle and you got it right, yeah, but um you can. You can see that you you were like close and still you were like zero point.
Five percent off. I’m, not banking, like zero point. Five. Are you kidding me your german precision? This is how big germans are made. No, that’s, not my point, not my point that you were off 0.5. My point is that you have to do four different steps in this whole.
Add chips to the pot method, yeah and then every step. You will be off a little bit in equity and you will be off a little bit in equity and you will be off a little bit in equity right and, in the end, the sums up to like three four percent yeah, because you will have to make So many calculations in your head, yeah, so um that’s actually, my point: this whole method is like very inferior to other methods and therefore it’s, even like more or less important.
If it’s 25 or 30 percent yeah right that’s, that’s. My point: it’s, just just my point. What which i wanted to say here: yeah um, so yeah guys. I hope this has helped you to get a better idea of what’s, the value of the starting stack, as nico said.
Can you maybe display the graphic that shows the increase in value? I think this is also worth looking into yeah. This is also an approximation or simulation that you have conducted where you can see.
Let’s say if they are 50. Around 50 percent players left it’s, going to be around 30 right. Yeah go around 30, 28 to 30 percent and then yeah. If you get, if you have 25 of the players left, which is probably going to be close to the bubble like somewhere like approaching the bubble, the bounty is going to be worth 33 percent and then, if it reaches the final table before the final.
Two final three table, perhaps very often uh – the bounty is going to be worth then like 40 and then even 45 percent yeah very important. Obviously this is a chip eb approximation. Okay, we don’t regard icm impacts.
Also, we regard that not a lot of the price pool is paid out, okay, and so this this whole chip approximation approach, adding chips to the pot. I call this chip approximation approach on the bounty value right um.
This this whole approach obviously is not working on a finite table. It’s. Not you will end up with very, very wrong results and therefore, i would recommend use this whole approximation. Whatever is convenient for you for like up to final three tables and then stop, then you have to do simulations or use other methods which are way more accurate in those kind of scenarios.
Yeah right excellent, let me maybe, for the viewers, give them a little bit of a of a preview if they would sign up because yeah, probably you might wonder, okay like what else is in the bounty course, if you guys are interested uh.
So, for example, here just the preferred ranges – i mean the content that you cover you, you break down more of the math and the science behind it. Of course, you you go over a lot of hands and examples, um yeah.
How should we adjust when open shoving when we are covered with different stack sizes? You even approach the money bubble in in multi-table table tournaments, so there’s a little bit of a bonus in that um course that you also see okay, how to approach money, bubbles, um and then loads of ranges here for different scenarios.
Right uh versus hijack 10 big blinds here then, for that section you have different scenarios versus hijack tambic blind cut offers 10 big hijack shots like open jack. If big bang covers us, so we we have a lot of.
I mean, of course you can’t cover all of the scenarios, because there’s, an infinite amount of possibilities that we have. You know 13 big blinds and the big one has 26 big blinds and it’s. Bounty. Yes, whatever so, but you cover a lot of different scenarios that just just this alone is, is worth the money um.
So even three betting ranges three-bed call and like uh yeah re-jamming, when we are covered late position, uh with a certain bounty power. You also explain what the bounty power means, so my you will get an idea how much equity we need and you get access to a lot of different ranges here: um that will boost your pko game, uh enormously great and nico by the way.
One last question also important: the field size is also correlating with the value of a bounty. Is that correct? So? What about? Because here we talk about field size that is left um, but there’s. Also difference.
Let’s say if it’s, a 10 000 runner tournament or um, yeah 100 runner tournament um by itself. The start value is always the same, but i mean then for the um. The progression can be very different for small fields.
Um, the point is that, if uh, if a player in a small field wins at the start of the tournament, one two three bounties, this will usually also come with increasing his stack by huge margin and then small fields.
Then this means his probability of reaching the finer table his probability of taking a lot of the bounty price pool, since this is on his head. Yeah to define a table is very high. Okay and therefore, you have a lot of variance in um the outcomes of the simulation and uh yeah.
That can be very different. So the the graph which you can, which you did see in the in the last slide of the presentation, would have like a huge variance to the left and to the right right for big fields.
It’s, actually um independent yeah. So you, you will reach very fast, stable result for like 80 80 plus players who reaches that will result how the progression of the bounty is looking like and for below.
You will get more and more variance inside of this great nico. Thank you so much and by the way for everyone who’s still around, i purposely didn’t mention at the beginning would be better for the sales.
My team was probably going to hate me for that, but if we still around, we are going to be running uh a discount for seven days for the bounty course up until today, the moment the video has been put on youtube.
So if you’re interested in learning bounty tournaments or if you want to improve your bounty game there’s, going to be a discount now available, just check it out in the description, so yeah nico. Thank you again for joining me here today and debunking some of the myth that i have been around for pko tournaments uh.
Any last words that you wish to share a golden advice. Go in tip for pico tournaments be aggressive at the start of the tournament, and don’t chase too much for the bounties in the late game, because then icm is becoming more important and your stack dollar ev, which is like coming mostly from the Regular payouts is like way bigger than the bounty to win, so yeah lettering is way um more important than winning chasing a bounty like with a very, very wide range good way to wrap it up.
So, keep that in mind guys see you next time and if you do enjoy don’t forget to subscribe and to like nico. Thank you again. So much once again see you guys next time bye, bye, you