Hi, I'm Zor. Welcome to Unisor Education. Today we will solve a few problems. These are part of the course called mass plus and problems presented in Unisor.com. This is a continuation of the prerequisite course which is called mass routines, where I'm mostly involved in some theoretical issues in mathematics. There are some problems, obviously, over there, but they're kind of illustrative problems to illustrate the theory. In this particular case, in the case of this course, mass plus and problems, I'm trying to present certain problems which really have to kind of force you to think about the problem outside of the box. I mean, you definitely will be using the theory which you have learned before, but it's in a more creative way, so to speak. So the problems which I'm presenting in this course are not exactly standard. Sometimes they are maybe easy, but sometimes maybe more difficult. Again, the main difference of the problems presented in this course is they are not the usual stuck mass problems presented in school. So the purpose is, obviously, to train your mind. These problems are basically like training grounds for your brain. None of them, or very few of them, have any practical application.  That's training. That's gym for your brain. Okay. So today we have three problems. The problem number one is as follows. You have two numbers. Both numbers contain only digits in its digital recording. So X has<PHONE_NUMBER> eight digits. Number one and number two has 111111100 digits. Now, from arithmetic, and by the way, this lecture is problems about arithmetic. The arithmetic O4. That's how it's called. So in arithmetic we are all talking about basic numbers and their elementary operations. Addition, subtraction, division, multiplication. Now, there is a concept of the greatest common factor between two factors, between two numbers. This is the number both are divisible by, and that's the largest number among all the divisible numbers. So I'm just repeating something which you're obviously supposed to know. So like, for example, if you have number, for instance, six and let's say, what, 15, for example, what is their largest or greatest common factor? Well, obviously both are divisible by three and there is no bigger number than three. Both are divisible. So three is their greatest denominator. So my problem is to find the greatest common factor of these two numbers. Well, obviously numbers are small, like six and 15, I just told you. You just basically go through all the factors and see which one of them is largest. Well, in this particular case, considering this is a very large number is impossible. So we have to do something else. So at this particular moment, I suggest you to pause the video and think about how to solve this problem. And I will continue with the solution. Okay, now, let's just implement certain representation of these both numbers in a different way, the way how usually numbers are presented, if digits are given, only digits. Well, what is digit? It's a decimal system of representation of the numbers, which means this digit has way 10 to the power of zero, which is one. This digit has basically the weight of 10 to the first, power of one, 10 to the power of two, three, et cetera, up to 10 to the power of seven, from zero to seven. So I can write X as one times 10 to the power of seven plus one times 10 to the power of six, et cetera, plus one 10 to the power of one, plus one 10 to the power of zero. So this is a more algebraic, if you wish, representation of this number. This is just by digits, and this is the representation using that every digit has certain weight. Now, same thing we can do with Y. Y is one power of 99, plus one times 10 to the power of 98, plus, et cetera, plus at the end we have exactly the same thing. Okay, so that's the beginning. And look at this. The tail is exactly the same, right? So up to the one times 10 to the power of seven, plus, et cetera, one to the power of 10, zero, this part is the common part in both things. So the whole X is actually is here. Now, what's next after that? One to the power of 10 to the eight, one power 15. That's the next group of numbers, right? So I'm talking about representation of Y. This is the tail, this is the next to the tail. Now, how can I represent this? Now, if this is X, this is 10 to the power of eight times X. Am I right? Because 10 to the power of eight, you just take out of the parenthesis and I will have 10 to the power of seven, then six, et cetera, up to zero, which is exactly the same as this. So that's the next group of eight digits in the representation of Y. So what would be next? Well, next would be, as you obviously understand, next would be one 10 to the power of 15 plus eight, 23 plus, et cetera, one 10 to the power of 16. That's the next group of numbers. Which is what? Which is 10 to the power of 16 times X, right? If I will 10 to the power of 16 take out of the parenthesis, then I will have exactly the same thing as X. So as you see, if I will group it by eight, my result would be that Y would be equal to... Now, what will not fit to the group of eight? 23, next would be what? 31, 47, 63, 90, 95, right? Let me check my... I think it's 95. Yes, 95. So the last one would be 95. The last group would be one 10 to the power of 95 plus, et cetera, plus one times 10 to the power of 80... What, 70? 80 minus... 87, yes. So up to 95, we can represent each group as 10 to some power times X. And only starting from 96, we don't have a complete group of eight. So I can say that this would be 10 to the power of 99 plus... I skip one time, so it's obvious. 10 to the power of 98 plus 10 to the power of 97 plus 10 to the power of 96 plus... And then I will have some number, 10 to the power of whatever, 97, in this case, times X, then again 10 to the power of 90 X. So I will have 10 to the power of 87 plus blah, blah, blah, some other 10 times X. So all these groups I combine together, I put X outside, and the multipliers like this, like this, like this, I put inside. So this is the result of representation of number Y in terms of number X. Now let's recall what we have to do. We have to find the common factor, which is the greatest or the largest among all common factors. Now from this, obvious that this number and this number and this number... So if Y and X have a common factor, exactly the same common factor should have this number, correct? Because if this is divisible by something and this is divisible by something, this must be divisible by something, because this is equal to Y minus multiplied by X, so left part will be divisible, that's why the right part must be divisible. Now this can be actually represented as 10 to the power of 96 as 10 to the power of 3 plus 10 to the power of 2 plus 10 to the power of 1 plus 10 to the power of 0, which is 10 to the power of 96 times what? 1111. So we have this number, 1111. So this is this. So our factor, which is a divisor for this and divisor for this, must also be divisor for this. Well, obviously neither X or Y are divisible by 10 to any kind of power because they're all contains only 1, including the very last digit is 1. So they must have the common denominator with this. Let's just take a look at the X. Now Y is obviously divisible by this. Now X is 11111111, 8 1s, right? Which is times 10 to the power of 4 plus 1111. Correct? So it's 1111 times 10 to the power of 4, which is 1111 and 4 0s and 4 1s. So obviously X is divisible by this. And Y is divisible by this. And there is no more, there is no bigger number because everything else is 2s and 5s and obviously X is not divided neither by 2 nor by 5. So this is the largest common denominator. X is divisible by, and Y, which is represented as this and this is represented as this, is divisible by 1111. So that's the largest common factor. Okay, finished on to the first problem. But it's not really difficult as soon as you understand the representation of the number which is given you in digits in the form of 10 to the power of something times this digit. Now the second problem is something which most likely you did study at school but nevertheless I will just repeat it. Here it is. Let's take any number n, any. It has certain representation in digits, in decimal digits like n1, n2, etc. Well, which means basically that n is equal to 10 to the power of k minus 1 times n1 plus 10 to the power of k minus 2, n2, etc. plus 10 to the power of 0, nk. So that's the representation using these digits. So my theorem, which I'm just presenting to you is that remainder, remainder of n divided by 9 is the same as remainder of n1 plus n2 plus, etc. plus nk divided by 9. So the sum of the digits divided by 9 gives the same remainder as the number itself. Now, well, this is kind of a theorem, if you wish. So let's just prove it. Now how can we prove it? Well, actually it's very easy because I can always represent 10 to the power of, let's say, k minus 1 as 10 to the power of k minus 1 minus 1 times n1 plus n1. So this is equal to this, obviously, right? 10 to the power of k minus 1 times n1 minus n1 plus n1. Now, what is this? This is basically 1 with a certain number of 0s minus 1. That's what this is, which is 9, 9, 9, 9, 9, 9. Which is 9 times 1, 1, 1, 1, 1. Whatever number 1 says. Which means it's divisible by 9. So what I would like to say is that if I will represent each number like this in this format, I will have 9 times whatever some big number n1 plus n1, each of them. So I will have n which is equal to 9 times n1 plus n1 plus this one. It's the same thing. It's 1 and many 0s minus 1 plus 1. And minus 1 would be many 9s. Whatever number of 9s is, I'll put it as n2. And again, minus 1 and plus 1, multiply by n2 plus n2 plus etc. And the last one would be 9 times nk plus nk. Okay? This one. 10 nk. No, that's the previous one. Then it would be nk minus 1. k minus 1 plus nk would be by itself. Just 1. So what do we say? We have this is divisible by 9, this is divisible by 9, this is divisible by 9. So everything is divisible by 9 except this, this, this and this. So n would be represented as 9 times n1 plus blah, blah, blah. Plus n1 plus n2 plus etc. Plus nk. So sum of digits and n have to have exactly the same remainder if we divide by 9 because this piece is divisible by 9, right? So if you divide by 9 and you'll have some remainder here, you must have exactly the same remainder here. Because representation of any number if you divide it with certain remainder, so n times, 9 times p plus q, right? q is remainder and p is how it's called quotient, right? And that's a unique representation. So if n is equal to this, then this sum of its digits must be exactly like this, which means p should be the same and q should be the same. That's why remainder is the same. That's the end of the proof. So remainder of the division of the number and sum of its digits, division by 9 is exactly the same. And incidentally, by 3 would also be the same because 9 is always divisible by 3. So in this representation, whenever I represent it as 999 something, it's divisible by 3. Division by 9 and division by 3 have exactly the same property. Some of the digits of the decimal representation should have exactly the same remainder as the number itself. And as a consequence, if remainder is 0, which means if number n is divisible by 9 or by 3, then the sum should be divisible by 9 or by 3. So this is the rule which you can basically apply to find out whether this number is divisible or not divisible by, but let's say by 9 or by 3. You just take the sum of the digits, which is much easier. If you have a big number, you can't really easily divide it by 9 without some kind of either calculator or long division. To add the digits of this number very easy, you can check whether it's divisible by 9 or by 3. Okay, now. And the third problem, which is very much related to this one, it's based on this one, is the following. Let's assume that you have two numbers, n and 2n. It has its own representation, m1, m2, etc. What's the letter? Let's say p. Now, what if remainder of division of the sum of these is the same? So if remainder of the sum of these digits is exactly the same as remainder of these digits, then my theorem is n is divisible by 9. We are talking about division by 9 and remainder of the division by 9. So if the sum of digits of one number, if remainder of the sum of digits divided by 9 is the same as remainder of the division of sum of double that number when I divide it by 9, if remainders are the same, then the number is divisible by 9. So one number, double that number, we have the sum of these digits and we have the sum of these digits. If these two sums dividing in a division by 9 give the same remainder, then n is divisible by 9. Okay. Here is the very simple proof. Now, if n has certain representation as 9, let's say, p plus q, so p is quotient in dividing the n by 9 and q is remainder. 2n, let's put it p1 and q1. 2n is also, now let's take the sum of digits. Sum of digits, which I will put, sigma n i tan, also can be represented as some other 9 times, let's say x plus q1. It must be the same q1, right? And sum of digits of the 2n should also be 9y plus q2. And now I'm saying that these two are the same. So sum of digits divided by 9 gives some remainder of this and sum of the digits of the double number dividing by 9 gives exactly the same. So q1 is equal to q2. So I can put these are the same. Let's put it q and q. q and q. So what follows? Subtract them from 2n, I subtract n. We'll have n is equal to 9 times p2 minus p1. q minus q would be zero. So n is divisible by 9. That's it. That's the end of the proof. So, again, this is an immediate consequence of the previous problem. In the previous problem, I was telling that division of the number by 9 gives exactly the same remainder as the division of the sum of the digits by 9. So in this particular case, since both numbers n and 2n give the same remainder here, it means that the numbers are the same, have the same remainder. And if numbers have the same remainder, then the representation would be this. p1 and p2 quotients are different, but the remainder is the same. And then I just subtract it and that's it. Easy. Okay. It's very important to read the notes for this lecture. Every lecture on Unisor.com for all courses, including this one, have the visual representation and the texture representation. Basically, you can say that the whole website Unisor.com is a visual textbook. So there is a textbook and on each chapter or part of the book, whatever, have a lecture. Now, if you understood more or less, I hope, whatever I was talking about, it's really very important to repeat the same thing when you just read the text. Text might be slightly different from whatever I'm presenting, maybe different letters I'm using for whatever, doesn't really matter. The idea is exactly the same and the textual part is written basically as a textbook. It's nothing like abbreviated or anything. It's really like a textbook and you can read about the same thing, which basically will help you to maybe understand better whatever I was talking about during the lecture. Now, the whole site Unisor.com is totally free, no advertisement. Sign-on is optional only for those who want to study under somebody's supervision to establish the relationship obviously. Otherwise, if you're just self-studying, you don't even have to sign in. Well, that's it. Thank you very much and good luck.


is going on you guys. Happy Halloween. Live moods here, despite the outfit. No, this is not Mr. Unlimited or Dangerous. It is just live moods in costume, if you will. So yeah, we're excited. We're here. We're ready to rock and roll. How is everybody doing? How are we feeling? What do we have any plans for Halloween? Like, like I said, I am Russell Wilson, none other than Russell Wilson. If you guys have not seen his cringy subway commercial, make sure you check that out because that is exactly what I am going for in this moment. Super cash. I had all of these pieces, if you will, all of these outfits in my arsenal already. And all I had to do was go buy a subway sandwich, but it's very interesting. Actually, I have a little funny story about that. I ordered a subway sandwich and I actually walked in there and I said, hey, do you guys have the Dangerous sandwich? And she's like, what is that? And I said, well, it's the Russell Wilson sandwich that Subway is supposedly supposed to have to which she responded and said, never heard of it. We don't have that and Russell Wilson needs to focus on football, not sandwiches. So I digress. They don't have the Dangerous. This is just a normal sub, but nonetheless, I am Russell Wilson, Mr. Unlimited, Chinese on the airplane, Broncos country. Let's ride sandwich man. Anyway, let's get into it. We have a Monday night football matchup. Happy Halloween, everybody. We've got the Bengals taken on the Browns, a divisional matchup. But there is a key. There is a caveat. No, Jamar Chase. What will that look like for the Bengals? I am not sure. Nonetheless, we do have a matchup. I think the Bengals are still, even without Jamar Chase, I think they are still three and a half point favorites in the Fandle Sportsbook. Everyone keeps asking me, what side are you on in this game? I'm not on a side in this game. This is a tricky one for me. So I'm staying away from it actually. However, I am on a first quarter total. And I'll tell you what it is. First quarter over nine and a half points. We're going with the over. The reason being, I think these offenses come out and try to do the most with what they've got. Mario, what's up? Let's get this Mario. Are you dressed in costume? If so, what are you? And also, can you tell what I am? If I hadn't told you, would you have been able to know what I am for Halloween? Anyway, first quarter over. Where am I? What is good? Tune in to every single live I have. I so appreciate you. Bengals team total over 24. I love it. I really love that over first quarter. Kind of low key like the over on the game as well. But didn't didn't go for it.  I'm sweating over here for real. Anyway, we have Bengals team total over 24. I like it. I like it. I am on first quarter over nine and a half. It is plus 100 right now in Fandall Sportsbook. So go ahead and grab that. And let's ride. So I'm going to say that throughout the show. So maybe do a drinking game. Every time I say, let's ride, you have to take a shot. There's another one. Moving on, let's talk first touchdown score. Liv's pick for this game is first quarter over nine and a half for plus 100 odds. Okay. That's my pick. Let's talk first touchdown score. Can I tell you guys something? What's up, Taylor Broncos country? Let's ride. There's another shot. Nick Chubb over 83 yards. Okay. So he is also an option for first touchdown score tonight. But I got to tell you something in my gut, something in my Halloween, Mr. Unlimited. What did they say? He has Wolverine blood is telling me that Bryant is worth a sprinkle for first touchdown score. Am I crazy for that? Well, let me tell you something. Those odds are plus 1900. How do we stay away? Harrison Bryant y'all convinced me out of this or I'm going to do it. Why does that sound so tasty? Why? Oh, why does that sound so tasty? Tell me, tell me not to or I will. Tell me not to or I will. Wolverine blood, I'm feeling it. So what's up? TJ Smooth guy says, interesting live. Mix in, you like mixing Mario? Well, here are the options I was thinking of giving y'all that you can vote on. Okay. We talked about Nick Chubb. We talked about T Higgins. I talked about Bryant. What was the other one? Chubb, Higgins, Bryant. I don't know. What other one do we want to do? Do it plus 1900 is worth a cup of Starbucks. Taylor Miller says do it. That's two do it. Two do it to it. Should I do it? Oh yeah. And boy, that's right. Boyd. We talked about Chubb, Higgins, Boyd, Bryant. But what, what is it? This Wolverine blood is tingling with a Bryant touchdown. I can't tell you why. Let's ride. There's another shot. If you're just not tuning in, we're playing a drinking game where I, Mr. Unlimited, Chinese on the airplane, none other than danger Russ Wilson, married to the bass in the game Sierra. I'm going to say let's ride throughout this broadcast. And if I do, and when I do, you must take a shot. Yes, you will be blacked out on a Monday night. Get over it. Okay. Let's ride. There's another one. Could be Joe Burrow first touchdown eyeball emoji. Don't hate it. Never hate it.  Never, never, never. What's up, Looney? What's up? Love the fit. Thank you. I'm Mr. Unlimited. Welcome. Let's ride. We're also playing a drinking game, Looney. If I say let's ride, you take a shot. I think we're on number six now. So only a few minutes into the broadcast. Nonetheless, let's do maybe a poll here. Let's do a poll here. Okay. We're going to do, we're going to do Chubb, Higgins, Boyd, and Bryant. Actually, you know what? I'm sorry, you guys. You're going to hear barking. You're going to hear doorbells. You're going to hear dog nails on the hardwood floor. What can I say? It's trick-or-treat season. Let's ride. Another shot. Looney says, I have one beer, but I got you with two sips. Heard it twice since joining. Bang. There you go. Two sips, two chugs. Let's make it two chugs. We're not weak around here. You guys, I think I'm going to say, no, this is the chat. I'm sorry. Let's put up a poll. Let's put up a poll. Let's go Chubb, Higgins, Boyd, Bryant. This is not my chat. I, something's tingling. Something's tingling in the Bryant world, but I digress. This is a chat pic, not a live pic. Liv's pic. It's first quarter over nine and a half points. Okay. I'll let you guys vote. The poll is going to go up. My producer is a badass. He's going to put the poll up. Okay. And we're going to figure out what we need to do here. And once we decide what that little poll is going to look like and who is going to win that little poll, we're going to just, we're just going to go ahead and sprinkle on it, but we don't have much time. We got to go. Let's go, go, go, go, go. Drop it in the chat, whichever one I see the most of. Okay. Chubb is leading on YouTube. Boyd is leading on Twitch, but which one has better odds? Boyd. Plus eight 50. Do we do it? Let's go, Boyd. Lock it in. Lock it in. Plus eight 50. We're rolling with Twitch tonight. Rolling with Twitch tonight. Now Twitch, if you are wrong and YouTube is right, we're going to have a big, big problem. Let's ride. That's another shot. Drink up. Anyway, let's get this little game on.  Looney. Hey Twitch, it's on y'all. We went with Boyd. That's who was winning on the Twitch stream. If Boyd doesn't score a touchdown, I'm going to be upset. I'm upset. Okay, let's get this little game on. NFL football. Come on, show me what, show me what I want to see. Here we go. Here we go. Who's scoring that first study? Whoa. Loud. Y'all think they did that on purpose, the orange teams, the orange teams on Halloween. You think they did that on purpose? I think so. All right. Let's ride. I know you heard that. That's another shot. Drink up. Here we go. Here we go. You guys, what's up? W Halloween Fit Live. TJ Smooth Guy, what is good? Tell your friends, we're live. The dogs are barking. We're taking shots. Let's ride. If I say, let's ride, you drink or eat a candy bar. If you're young, if you're under the age drinking limit, eat a candy bar. Every time I say, let's ride. Okay. This little graphic out there, I've got my sandwich. Got my sandwich. Yeah, yeah. Where is that going? Where is that going? All right. The game has begun. We've got our, we've got our life together. Let's see. We need void. We need void in that end zone and we need the first, we need the first quarter over. I need to put my sandwich down. Don't tell. Don't tell Dangerous. Taylor Miller says, Hearst, where were you to Prince? Will you be drinking after each let's ride? Keep a tally and I'll go take some sips when I get upstairs. Sorry, guys. I'm posting this tweet.  What's it called? Multitask.  Game has kicked off, y'all. I'm going to put a little pumpkin emoji because it's spooky season. I'm going to put a little ghost emoji because it's spooky season. Ghost emoji because it's spooky season. Uh-oh, not a good start. Who's got the ball? Damn. We got my sandwich, y'all. Don't worry about it. Some good defense, Browns. I actually lied. Don't play that good a defense. I forgot who we had for a second. We got void. We actually don't need good defense right now. And we're looking good. The bangles have the ball. So we need a score. You know, why we need a score? Because we have the over nine and a half and we also need that score to be none other than void. You heard. I do not have an SGP, but I will have one for Thursday night football. So stay tuned for that. Okay. All right. Mixing with the first down, that's good, but we need a void touchdown. And I would love a score. You know why? Because that would make me feel a little bit better about this over nine and a half, first quarter. Okay. I have to hold my sandwich the whole time.  No, I am dangerous. Okay. No mixing.   That's not over. That's not what we want tonight. Okay. Tyler Boyd. Come on. No more funny business. 10 minutes left in the first. Is that your prediction? Oh, look at you wear my cup. Lucy says, I got chubb. Boyd for touchdowns. Love it. Passing it. Now Joe Burrow. Who is that to? Let's ride. Another shot. Pass you guys for Joe. 40 plus. Okay. Risk free. You guys know Fandalsports because risk free bets, right? Why are you not taking advantage of them? Please help me understand. I'm confused. Okay. Third and five. You hate to see it. Oh, geez. Good Lord. Oh, I think I got to start doing some high knees in the aisle. What's up, Robin? Just run limited here. Let's ride. Wrong guy, but we got that first down. Not kidding. Also, I'm sorry. The little Cleveland Brown Elf thing freaks me. That is actually scary. First in 10, Burrow, find your guy. Find Boyd. No more funny business. Are we playing around? No, we're not. The sandwich. I ate a little bit of it earlier when I was filming, but I haven't really eaten. Come on, Joe.  Was that supposed to be a flag? Low key. Uh-oh. All right. Come on, you guys. This is not funny anymore, Joe. Find Boyd now. We look like we're kidding. We're not. Let's ride. I mean, everyone but Boyd at this point, and I'm starting to get mad. Go, Burrow. Stop making me mad, please. Come on. Boyd, third and seven.  I really do. Come on. Dang it.  I really do hate the third down. I need, and I need first quarter over nine and a half. Boyd, Boyd, let's ride. Let's ride. Let's ride. Let's ride. Let's ride. Go, Boyd. Go, Boyd. Go, Boyd. Go, Boyd. Come here now. You got that. There you go. What's up, Bessie? Everyone say hi to my Bessie. My Bessie's in the chat, y'all. Say, what's up, KK? Go ahead. Drop it in the chat. They're getting scrappy. Yo, Burrow. What was that, my guy? Burrow. Yo, what was that? What was that, my guy? Oh, goodbye, Garrett. Goodbye, Garrett. Gotta be, can't blame Burrow too much. That was good defense. That was good defense. Miles Garrett.  I'm going to be honest with you right now. Good for you. You could have been it. Oh, he looks scary. Subway commercial currently on. You already know the vibes.  That was so disrespectful. What just happened? That was absolutely so disrespectful. It's like they don't care about our first touchdown beds. Not one single Monday have they cared about who we have for first touchdown. Not one single Monday. Can they have a little respect, a little class? Oh, God, I'm, I need some coffee. I'm getting here. Jesus. Like, really, y'all? What the frick was that? I don't play football, but I didn't really look like what we wanted. Did it. Anyway, we're still alive, you guys. We're still alive. Listen, all I need actually at this point, here's the tough thing. I need points. I need points. Okay. So would I like boy to score the first touchdown? Yes, I would. But given that the Browns are as close as they are to their end zone, and I also have the over in the first quarter, I would like point. So what does that mean for us? Well, there's still time for my first quarter. You guys hear that? I think somebody just fell upstairs. Did I go check on them? Let's ride. Okay. What is going on with that? Why did that just happen? I'm upset. So there you go. Back to back touchdowns after Boyd scores the first one. Yes. Right. Okay. Good energy. Good vibes. Lots of time left, y'all. Let me turn this little microphone so you guys can really hear what I'm talking about. Period. I'm feeling stressed. Okay, enough about Mr. Miles Garrett. We know he rocks. He just ruined our lives. We get it. Stop. I don't want to hear another single thing about it. I might have to treat myself to some fried rice when this is done. It's true. Okay. Here we go. That was a grown man run. Does anyone else love Brissette? Is anyone else feeling kind of like they're going to be sad when Watson comes back and says, give me my spot? Is anyone going to kind of be annoyed at Watson for that? Or am I alone? And no, I'm not making this controversial. It has nothing to do with all that stuff. I'm sad for him. He has been really showing up. And I'm not saying he's been winning as much as he could, but he, guess what? He was there when Watson wasn't. Was he not? Yes, he was. Did what he needed to do. That's really sad. That's really sad that he's doing what he needs to do. He's got a great fricking attitude. That's refreshing for the Browns team. Shout out Baker Mayfield. Frickin noob. He's got a great attitude. He works his tail off clearly. Watson's just going to come back from his time out and go, sorry. But I have an issue with that. I really do. It makes me very sad. That makes me very sad. I'm sorry. That really makes me sad. I'm going to start crying. What a pass that was. Listen, Watson, take a seat. This guy's here to stay. Look, just as I'm complimenting this man, he decides to show up and show out. Is he turning in? Is he turning into live moods? He might be. Okay. The way he just jumped over that man, like he was a little rock on the sidewalk. He had elegance. Okay. I have a bad feeling about our little first touch. I'm going to be honest with you. Come here now.  I hope not. I like him. I do. Luni, are you about to suggest a field goal? Field goal. And then perhaps we get a, yeah, there you go. You're about to say field goal. I knew you were. I'd be okay with that. I would. Field goal now then boy, listen to you. You know what? But the F is up. All right. We got eight minutes on the clock. I'm going to need some points on the board stat. Sista stat. Ooh, bad. Can y'all see me or am I lagging for everybody? What's up? Did just you come here now? Oh, your game is lagging.  Offense. You know what? Twitch do be struggling. We know this. Technology be struggling. If they're not going to score, they at least need to get into field goal range. This is starting to irritate the crud out of me because they're not yet, are they? Are they in field goal range? I'm Gucci for you. Okay, cool. You guys, we've received 100 messages in our chat today. Shout out to the, out to the live moods crowd. Love you guys. I really do. Come on, Jacoby, my guy. Just go, just run. That's how you hurt yourself. Got a slide, baby. 35. Okay. Oh, third down. You hate to see it. Say, God, at least get a field goal F. What's up? What's up chat? What's up chat gang? Oh God, Looney, you might be ahead of me. What happened? Cause it's going to be a sack. I can feel it in my bones. It's way short. Are they in field goal range or not? Long field goal try. So help me, God, sir. So help me God on everything good and holy in my life. I will be very upset. Mr. Unlimited, let's ride. I will be very upset that I will, I will maybe say a choice word on this live. I don't want to do that. My peers have a lot of respect for me. Don't make me do that. Come on. I don't have any.  Okay. Maybe I do have words. Oh, freaking A. This is not looking the way that I hoped it would look, right? It's not. I'm sorry, but it's not. Not looking as I imagined it. Unfortunately. Oh, for God. What's happened? I'll tell you what's happened. We are, we only have six minutes left of this first freaking quarter and my freaking over nine and a half points bet is not looking great because we're still at zero, zero. Is there time for my bet to hit? Yes. But based off of what we've seen so far, an interception, a misfield goal. I mean, this is unraveling to be another yet another boring primetime game.  The Boyd first touchdown is still alive. However, so let's keep our vibes high, as high as we possibly can. Okay. We're going to try it where my cup says there's still plenty of time to get to 10. You're right. You're right. You're right. Let's ride. Take a drink if you dare. Take a drink if you dare. All right, Boyd. Not funny anymore. We're actually not kidding anymore. We're really needing a what? How do we feel about the weekend betting wise on the Sunday slate? I actually had a pretty decent weekend. I was two and one. I'll tell you who I'm never betting on again ever. Mark my words. You're going to hear it right now come out of my mouth. The Cardinals. That's who. WTF. K1 is trash. Period. End of discussion. Should I have known better with the new cod releasing? Yeah, I shoulda, but I did it and I bet on them and they pissed me off. No more K1. No more Cardinals. Okay. The bets that I did hit on, however, 49ers minus one and a half might have been the easiest bet ever.  And then the commanders plus three was a lovely hit. They won by one. So that was awesome. Those were my two hits. I missed on the Cardinals. Never doing that again. And yeah. DJ Smooth guy says, come on, Joe, start that drive again. Yeah, here we go. No more funny business. Let's go. Come on. Cardinals are a teaser team only to cover if you, if you add six to that. You're right. But I didn't.  Giants screwed you. No. Bad, bad, bad. Yeah. I had a feeling last week was going to be the letdown spot for the Giants, but turns out it was this week.  That Parley did hit. It was 49ers money line, Seahawks minus three and commanders plus three. The Seahawks have made me money three weekends in a row now. I really need everyone to stop sleeping on Geno Smith and this Seahawks team. I'm being serious. I love them. I think they're great. Imagine them coming out of their division. Not the 49ers. It'll be tough, but boy, don't turn me on. Oh, that was hot. Did you guys see him? Oh, boy, boy, boy. Looking good, boy. Packers fan 12. Yay. I might be in the same boat, brother. Packers and Broncos. RIP. All right, boy. Oh, God, there's only four minutes left. I need a score.  And I'd love for it to be boy.  What's wrong with you guys?  Need this, you guys. This is crazy. Freaking crazy. And we're just running that clock out. I am getting so pissed. Kidding.  Like running the clock down for what?  Two, eight. I mean four.  We had an interception. We had a missed field goal.  Miles Garrett is badass. That's for sure. Yeah, that's for sure. You know who's not a badass? Me because what's with that overnight? I mean, what's going on? I'm, I'm, I'm frustrated now. I'm upset and I'm mad. So now what are we supposed to do with that? I mean, what are we supposed to do with that, you guys? Why do fever? Oh, you mean like our beds? Yeah, you're right. This is crazy. This is crazy. Y'all. I'm very upset. I have a bad feeling.  The bed is dead. That is dead. D-E-A-D dead. Dead, dead, dead. Okay. Dead. I hear my glasses just scratch my microphone. This is tough, you guys.  Excuse my French. That's not making me feel any better. It's actually, in fact, giving me a bit of nausea. So that's not helping anything. Okay.  What am I supposed to do right now?  Zero points so far. Two minutes left. I took the over on the first quarter. Okay.  What the frick is wrong with him? That's Joe Burrow five and a half times in his hair. Joe, how does it feel to be the child of Miles Garrett? Miles Garrett is your daddy, Joe Burrow. Just get over it. I love Joe Burrow. I love him. I love him. What's up? This is just bad. And the sandwich smells and I'm annoyed. Quarter's over you guys. I'm out of here.  Tough look. All right, boy, it's alive. Boyd is alive. Yeah, Cooper.  I don't play football, Cooper. And you do.   But what do I know? That seemed dumb. Marie Cooper. What was that? I mean, my goodness. Yikes. Tough looks for a Marie Cooper. Boyd. Touchdown is alive. It's alive. I mean, guys, let's get to it. I'm getting very, very annoyed at this. You guys, this is crazy. Guys, what the frick's going? Saying nab it anyways. Here it is. One bad mammoth. You heard about the... He's at the game now. He bet $777 to win $124,000. And all he needs is mixing over 63 and a half rushing yards.  You're kidding me. What's mixing at right now? Eight? All right, mixing. You got to help this dude out. Come on. Don't be rude.  Come on. I'm kind of feeling sad for a Marie Cooper. I'm not even going to lie to you. We're running this clock out for what?  I'm sick of watching primetime games where they don't know how to play football. What's this about? What kind of requirements do you need to have anyway to be in the NFL?  I'm sorry. Forgive me. I don't know what I'm saying when my bet's not hitting. Let me have my moment. As you can imagine, Danger Russ is going through a lot right now. Does anybody else lean when they're trying to get a first down? Do you ever lean with them? I do that a lot, as if it's helping anything. It's obviously not helping a thing. Play the stream. Don't annoy me. Come on. You guys, once this quarter's over, I got to go. I'm frustrated and we only got 15 seconds left. Is the sandwich good? No. It's actually giving me a very upset stomach, but I can't tell if that's just yet another primetime game giving me an upset stomach or if it's one second left.  Guys, don't care. You have no consideration. No consideration. Oh, you guys. That's all. Okay. That's all for today because now I'm frustrated. I'm mad. This is nuts. This is nuts, you guys. I got to go. I got to get out of here. Anyway, this has been another live moods with live moods, aka Danger Russ. Looney, thank you so much for being here. We still have the Boyd bed alive. Still have the Boyd bed alive. Boyd, Boyd, Boyd y'all. Still alive. Okay. So it's not all bad, but my first quarter over, I could not have predicted two interceptions and a missed in a blocked field goal in the first quarter. I couldn't have predicted it, but it happened. Welcome to primetime, baby. We'll be back next week for another live moods stream. Okay. And next week, there is an absolutely hectic, chaotic, incredible, psychotic, amazing slate of NBA games. I'm talking a lot of NBA games, like more than we're probably even able to handle that plus football. Oh yeah, it's going down. So we're making money back next Monday. We're having fun. The stream might be a little long, but we're talking all things NFL NBA, making money, having fun, taking shots. Okay. So thank you for joining me for yet another live moods with live moods slash Danger Rush, Rush, Rush, Rush, Danger, Rush. We'll be back next Monday. Broncos country. Let's ride. See you then.


Welcome to Access to Trader, the number one community for those who are committed to taking control of their trading in order to achieve success, profitability, and longevity. Thank you for joining us. Here's Dan Shapiro to help you find your edge, master your process, and own your future. Hey, guys. Good evening, everybody. Welcome to another edition of the Access to Trader.com that the rapper show hope everybody is doing well. Hopefully you guys had a good trading day. My day got a little bit skewed. The first 20, 30 minutes of the day, I got a phone call from my brother. My mom unfortunately had a kind of a slip and fall. It sounded a lot worse than it was. It would have been better if my mother actually picked up her cell phone to confirm. But I was in Brooklyn today, so I miss pretty much the whole day. So if you guys, she's all good now. It was a little more scary than anything else. But again, somebody doesn't pick up the phone when you call them. You hear there's an accident. There's a problem. So hopefully, first of all, I want to thank you very much for all the emails, text messages. It's really, it's really a wonderful thing. Thank you very much. I really appreciate all your blessings and your prayers and all that good stuff. So everything worked out. So let's kind of get into the market. Obviously, I wasn't here. I wasn't here. I looked at some of the pivots that I put into the channel before I left. Some of them were really, really good, including that Tesla, including that stock. There was a previous 400% of the previous day. Roku did pretty well. Looked like broke. Roku did well. BYD gave a push. But other than that, from the kind of outside looking in again, you don't need to trade for the day just by going through charts. You can go through 15, 20 minutes of charts. You kind of get the same feeling in your belly. Again, nothing materialistic has changed. That's a beautiful, beautiful thing if you believe in the bull case. And if you remember guys, I was in the room, I was in the webinar for the first like 20, 25 minutes. And what I remember was it looked like the market could have put in the type of action that I've been talking about for two, three days. Hey, by the way, they're just going to pull the plug out of everything at once. And you're not even going to realize it's coming unless you're looking for it. And the bulls did a really, really good job. Outside of Roku, which again, you could turn around and say, well, you know, the issue of billing shares, the stock was down six bucks today. But again, when you look at Roku, it was a nice pivot that I put into the channel before I left. If you look what happened again, and we talked about this, we'll talk about the individual pivots in a second, but when you actually look at the macro view of Roku, considering they had such a big run, considering the news they came out, issue of billing shares, they could have slammed the stock. This sell-off could have been today 15, 20 points easily and nobody would even blink. But again, it's a really good strong testament to how strong this market is. And I tell you, the frustration to levels of the bears, it has to be very, very strong. Again, when you have a linear move, everybody knows gravity is real. Hell, I've been talking about for four or five days in a row now, the bulls keep on pushing to mark it up, which again proves two things. Number one, I don't need to be in the trade review for the pivot door. Okay, that's the whole point of a pivot, which is price action after a confirmation of volume, right? Buyers and sellers, buyers clean up sellers to go lower and sellers clean up buyers to go higher. And the most important thing is nobody needs to be in these trades. And number two is, again, the bull market is intact until it's not. So you have to like what you're seeing. You really do. We're about what, seven, eight days, two to nine days from Thanksgiving. The question is, again, can the bulls hold up for just another couple of weeks until we get into that really big Christmas season? Because at some point you're going to have to figure, right? Rotation will come in into the names that people are going to physically do business with, right? The Amazons of the world. And again, you look at this morning's report on Colson, right? Not really a great report, right? Not exactly what you want to see from retail. But when you looked at, you know, we looked at Walmart, what it's been doing, right? You know, taking the price action out of the way after earnings. And you look at Target, for example, right? And you look at Costco, okay? They paint a totally different picture. The retail is fine. The economy is fine. The recession talk, okay? They can be talking and talking and talking. Again, talking and happening with two different things. So all in all, the bulls are doing an exceptional job, okay? Do some names look like they're tired? Look, you can make a case of that, right? You can make a case. Apple looks a little tired. But is it really tired? Stock was down less than a dollar after this linear move. So again, until the bulls demonstrate any other reason than buying the dip, then you have to assume the bull market is intact. But again, every single day, I go into the day saying to myself, I just don't want to make the mistake by buying that really, really high, high flyer, five, six, seven days after the legitimate pivot. Again, we use the word, or at least I used the word, use the word like everybody else. Use the word breakout all the time. And again, I think we had this conversation a couple of days ago in a live webinar. It's very rare that a stock actually breaks out, okay?  That's a breakout. Up here, up here, up here, up here, up here. This is all follow them. This is all continuation of momentum. So a lot of traders will use the word breakout. And they'll buy the stock $6, $7 above the breakout level and say, well, the breakout, no, the breakout didn't fail. The breakout happened two weeks ago. What you're doing is you are continuing pushing the limits of this breakout, of the six, seven day breakout. And you're hoping to God that it continues. So it's a very, very different case between breakout and continuation of momentum. That's why I always talk about, especially in live webinar in Morning Strategy, a stock that's up really aggressively on the previous day. You don't want to buy it into strength. You want to buy it into that rising support. And that's exactly what we've seen in the last couple of days, for example, like a stock like LK, that we had a really pretty damn good trade from yesterday. It's from the bottom of the range. You can see the 60 minute range yesterday, right? And this is kind of my point. What you want to do on momentum, aggressive stocks, when they have a big, big move, you want to buy them into a light, voling flush, wash out in the morning. They hold support and they should rally. And when you look at the market today, right? When you look at the tape, just by looking at charts, you still see the strong names are still strong, right? The strong names are still strong. You know, like, you know, for example, like the Tesla's, we'll talk about the individual pivot in a second. That wasn't even here for, but again, again, what's great about pivots, again, nobody needs to hold your hand.  And again, it's artificial insemination of some random amateur. So, hey guys, you got to buy the stock. It's about to go higher. Millions of people jump into the trade. The stock goes up 10 cents. Everybody's, you know, half the people are celebrating. Half the people are, they want to slice their own throat. So the stock went down 30 cents. Again, there's a difference between an alert and the difference between a price action. Price action is confirmed on supply and demand in a pivot and is a directional bias with institutional participation or quote unquote, the algo effect, what makes these trades work very, very important. So let's talk about it, right? Let's talk about it guys. These are the pivots. I mean, these are the only pivots I put in the room today before I left. And again, the whole thing in this planet for me, the whole thing in this planet for me is all about family. I don't care if it's a distant aunt. Okay, maybe I do. But the point is again, you get a phone call and mom's in trouble. You got to be there for mom. So let's talk about it, right? Let's talk about this. So check this out. I actually put on a couple of trades tonight. I actually did a couple of trades. I bought the 305 break on Netflix. And I put this into the Twitter feed because I knew it had to build the 305 50 306. When I put on the trade, I forgot it was going to stop at 305 50. Why did I forget it stopped? Look at it right here. If you look at the linear regression line. Okay. And again, this is why stocks don't stop randomly. Okay. They stop at supply. I forgot it was there. Okay. I forgot it was there. So once it's stalled out, I saw the futures start tanking. I sold the stock. I broke even to a little bit of slippage to the downside on this thing. And then I bought the remount. This is how I knew stocks were a little bit weaker this morning. There was a potential for a bigger flush. So I bought the remount. Okay. I bought the remount on Netflix. What was it?  It was around 302. And it just couldn't go. Right. I think it rallied like 20 30 cents. And they just couldn't build. They couldn't build. They couldn't build. And I sold. I sold it flat. And that's kind of what I had to leave. And the funny thing is if I didn't sell it for you, if you're in the hope to God category, the damn thing went all the way down to 298 50. So again, we're not in the praying business. We're not looking to, to guess where the controlling where the closing prices. It's to win your interval. And if you can't get a good solid confirmation buyers putting up sellers, sellers putting up buyers depending which way you're looking at the trade, you have to get up. Okay. You could always re re enter the trade and get more solid confirmation, higher and lower prices. That's very, very important. Not to be the prey, be the predator. And that's a very, very important way to look at the market. So that was that. Obviously, NVIDIA never, and this is a little, a little, you know, I really, really thought that NVIDIA was going to go right to green today and never did. I mean, there was no, there was no trade involved, but it was very, very odd that NVIDIA, you know, really just completely engulfed the previous days price action and never one green today. Very, very odd. I got a lot of emails, guys, congratulations. Again, here's the pivots. I don't need to be in the trade with you. I wasn't even here. Okay. That's the whole point of pivots. They don't care which way they confirm. They're going to go up, but they're going to go down. So 354 upside, 346 downside. Here was the pivot on Tesla again, guys. Congratulations for you guys who caught this Tesla pivot. Here's the 60 minute view, right? Here's the 60 minute view on Tesla. Let me just show you where the, let me show you where the 354 was. Hold on, hold on, hold on. Why is my chart all skewed? I feel like my chart's a little bit skewed here. 354, here we go. So 354 was the top here, right? You can see it 353, 84. The top here was 353, 90. So once it got above this 354 level, it just really, really got aggressive and traded up to 360. Again, big move, really, really good move. Congratulations, guys, who took that Facebook. Yeah, Facebook actually put in a move to 200. And again, if you look at my comments, 19870 needs to build. Here was Facebook, right? Here was Facebook. Here was the 19850, 19870. And went right to 200, went supply. And if you look at my comments, right? If you look at my comments, I go, it's flying, but right here it is, right at supply. Facebook at supply now makes some sales. That was literally at the top of the range. So good job for you guys who caught that as well. I think it still probably goes higher. Nothing on Boeing never reclaimed, not even close to 76. SHOP never reclaimed 76. I don't know, if anybody caught, I know Sam caught this trade because he emailed me, not emailed me, he on the private feed, he, I guess, tweeted me. KRRTX, rent to green for experienced traders only, 100 obviously has been a big number. Use that as a guide.  What are you gonna say? Here's the 100, right? Here's the 100. And the stock went to apparently 150. Okay.  God bless. So what are you gonna say? 50% move on a $100 stock. That's absolutely bananas. So anyway, guys, if you caught that great job. Locu never came through. I just saw that C's never went through. BLMN, I didn't see it, 2360, 2370. Let me see BLMN, 2360, 2370. No, never built, never built. Trade up to 2376, never confirmed the action. Locu, oh yeah, Locu, yeah, Locu. So check this out. So Locu 15880, 159 to the upside, 153 support for builds below it can flush. So here was Locu, right? Here was Locu and here was the flush. Here was the really big flush. Here was the 153 was the bottom of the range, right? Rising the bottom of the range. And once it took out 143, if you noticed, I tweeted out, punch a chance this thing gets to 148. Reason why I talked about 148, 147, 151, it was the lows. 148 was the rising five-day moving average. So if you got it, great job there as well. And Facebook flying, oh, beyond. You know, if you guys caught beyond, nice trade. Nothing wrong with that. Yes, they finally closed.  Oh, no, I'm sorry. Yesterday I lost the ballroom beyond. Today it broke below, it looks like it broke below 78 for builds below it can crack. Again, it's going to go lower. It looks like they're just going to drift it lower. So we talked about the 78 level. Here was the 78. It broke, went down to 7650. I still think probably towards under a week, it's going to test this, you know, 7385 level. So if you guys got the trade, good job there as well. And Square never got there. I saw that went to 6514. I actually like it to the upside tomorrow. We'll talk about that tomorrow. Netflix only went down a half a buck. I saw that and spiked right back up. I actually like it back to the long side tomorrow. That's it. That's it. This is basically what it was before some of these things triggered. So if you got it, good job. If you didn't, whatever. It is what it is. It's part of trading. Tomorrow we'll be back. I'm totally, totally good. Everything's good in my life. My mom's good. She's had a little bit of scare. So that's great. So let me give you guys some ideas for tomorrow. Okay. Let me give you guys some ideas, some non beta ideas for tomorrow. And then all the beta stuff we will talk about for tomorrow's session. So yeah, let's sit. Let's talk about some ideas. A, L, V, R, A is it a L or a VLR. Sorry. A VLR looks pretty good. It's got a bottom channel. So what you want to see, you want to try to find as much value as possible in the market when it goes linear. Again, you could tell it here, first close over supply, AVLR, all it needs to do is reclaim, starts building that 79 area. You could get a big move. So keep an eye on that.  Right. It looks okay. I kind of like it. It stopped right on the 50 day moving average. High here is 1676, 66. Today's high is 176, 167, 655. If it starts reclaiming 168, right, reclaim 168, you could get a move to 69. I mean, 171 for a scalp. So keep an eye on that. CDLX looks pretty good as well. Broke out of a five day move, a consolidation after the big run up. If it starts building both, you know, 59, 70, 60, you could get another move up. So keep an eye on that as well. And the last one on beta, let me give you guys SGRY. Looks pretty good. SGRY, $12 stock for you guys that don't trade beta. If it starts reclaiming, you know, 1220s or so, keep an eye on it. You could get a good run there as well. So guys, have a great night, everybody. I appreciate all the support, all the concern, all the emails and texts. It really means a lot. Again, when you have good people in your life, everything else becomes a lot easier. Guys, God bless. Thank you very much. Thanks for putting in the time to take control of your trading. You're one step closer to owning your future and achieving the success you desire. Want daily trade ideas directly from Dan? Straight off his personal watch list? Unlock our free PS60 vault, where you'll get nightly updates on pivot opportunities we're watching for the next day's session. Click the link in the description to get started today.