Welcome to the 1878 FM podcast, it's episode 38. We have made it through the season. You will note the relaxness of my voice. I mean it might not sound relaxed, but it is very calm, chilled. Not chilled because it's roasting the studio. But if the band is back together, everybody is here. We have got the cappin bush. The Mr Popeye is here, he's back off his cruise. We've got Paddleboard Dave, some tremendous photos over the weekend on the river. Amped is up before... He's been here for about 10 minutes, so 10 past 10, which is another collector's item. Absolutely tremendous. Men, how are we? Good, thank you. Significantly more relaxed than when we last spoke. You are. Listen, I made no bones about it.  I think that came across. As the time got closer and closer, in particular that... ...bateful Sunday, I was really, really nervous. Somehow we managed to escape the jaws of defeat. Here we are and we fight another day. Let us not be under any illusions. This is not celebration time. OK, there. You've gone in there. Fair play. How are you? It was very weird experience to be... ...having gone on about a hypothetical Everton Ark for a number of seasons now. We were sailing away and getting away from it in international waters. It was very bizarre then to be at sea in the Mediterranean on this cruise... ...when this game was playing out. It was one of those boats where you could hardly get any wi-fi or anything like that. It was kind of nice, actually. I wasn't drawn. Although I felt sick to my core. It's amazing how Everton can affect you... ...even when you're not watching or checking the score. It's there in your soul, isn't it? You can just sense something. It's like a spidey sense. Something's going on. It was nice not to have to be... Half-time must have just been horrendous. We were going down at half-time, weren't we? It is a relief, but I completely echo what Dave said. I felt like we've dodged another bullet.  How many warnings do you need? Absolutely. If we go back to the faithful day... I credit a lot of it to Dave's little win-win-win... ...shouting the last podcast. The chance that was put at a lot of it. That was echoing around Goddison at one stage. I bet. If we go back to that faithful day pad... ...just nine days ago, it seems a lot longer now... ...in some respects. Also, it seems like yesterday. I don't know about you. We haven't done anything together since. Obviously, I was away, so I came back for a game... ...and went back to Costa del, pressed that, which was absolutely roasting. You caught the sun now, Barry? It's been sunny every day. It's been warm every day. You've got healthy glow. That's being said. I was quite... I don't know why. The drive-over from Wales, I was trying not... ...my boy would try not to talk about it too much... ...to talk about different things. The only time I was really nervous... ...I felt a bit sick was going through the turnstile. I actually said to my mates we were going through. We're going through as a fan of a Premier League side... ...and we might be walking back out in the Champions League. It was the only time my stomach really... ...flipped a little bit. I had to talk about 14 calms to keep the nerves down. But I got in and the atmosphere had kind of... ...it took over for me a little bit then. It's just let's get into it. There's 90 minutes. Doesn't matter who's playing. We know what we've got to do. What were you like? I was alright. I was in the ground quite early to be honest. I was trying to build up... ...as the atmosphere built up in the ground. I got there where it was really quiet. It was about core past three when I got in the ground. There was a lot going on outside. It was very... The outside was very strange because it was almost like... ...people were trying to ignore the game... ...and trying to think about other things.  The first thing of the minute you walked through the same styles... ...it became real. The players hadn't even come on. The goalkeepers hadn't even come out warming up here. I just let it build up as the people built up into the ground. I thought that really helped me. Not that I was massively worried anyway. By the time it built to the whistle go... ...I think everybody was probably feeling exactly the same. It was mostly fine all day. Even when different things were being said... ...rightly or wrongly within the fan base... ...I was alright to be honest. What was weird was we were walking through the park... ...and walked through the graveyard... ...walking that way up to Goddison. The noise you could hear was unbelievable. We were just saying on the way up... It sounds like the game had already kicked off. We were like, it didn't kick off. It didn't kick off at 4 o'clock. It was about 10 past 4 o'clock. It was unbelievable. Dave obviously... ...the waiting for the game has well made it worse... ...because it was at 4 o'clock. Why couldn't we just kick off at 10 o'clock in the morning? Wake up, get over there, play the game and get it done... ...because it just seemed to drag the day. I just honestly felt physically sick. I felt physically sick. Just that sort of nervous... ...dumbach all day. It was kind of the feeling that you would have... ...ahead of an operation or something. Something that could potentially be horrible. I sadly wasn't at the game... ...but back to what you said before... ...that feeling that this could have been... ...the last ever top flight game at Goodison Park... ...ever. Which is a horrific thought. I had friends of mine saying, how are you? I said awful.  I'm a nerves and then off we went.  I can't get an update on scores in Goodison. He was watching the game. I can't even use WhatsApp in the game. James, I'm talking about you as you know. He was sat in front, so he turned around... ...that it must have been 433 and went spares of winning. Straight away it was like... ...OK, Leeds have got to basically score four goals... ...so that can't be this one. Obviously got the update that Lester had scored... ...and then you start going. You know what, even at that, before half-time... ...we know we've got a win. We had to win anyway. Andy, for you, like you just said... ...was it a case for you... ...that you just couldn't get anything... ...or were you aware of anything that was going on... ...or were you just too busy posing with Goofy... ...and Nicky in that? I was checking my phone all the time... ...and I was kind of aware of what was going on. I felt kind of bad for... ...I'm glad it was Leicester and not us... ...but I felt bad for Leicester fans... ...we've had a long time to get used to being as bad as we are... ...whereas they just kind of dropped into the basement... ...like the way someone might fall out the loft. It was a bit like us last year, wasn't it? They found themselves in this thing... ...and all of a sudden you start to look and go... ...and you say you were there but they didn't. I think we're now this kind of pre-season... ...off-season or whatever... ...it's probably the most important pre-season... ...we've maybe ever had at Goodison... ...it'll be three and out... ...I think if they don't get this one right... ...I don't know if any of you guys watched our... ...or maybe you guys were there... ...the terrible pre-season games in the States. And you saw... ...I don't know about you, I watched those games thinking... ...oh my God, what is going on here? I don't know what the plans are for the pre-season... ...or whether they're going to give Dyche some money... ...or whatever, but this is it... ...this is the last chance saloon... ...I think if they don't get this bit right... ...I'm not doing this three times on the top... ...last day of the season, pitch invasion... ...refuse to be on a cruise again... ...on the last day of the season... ...don't make me go cruising again on the final day... ...this is huge... ...I think that the Connor Cody situation... ...is slightly worrying... ...and by that I mean that... ...for me logically... ...at the money that he was available... ...in that clause of four and a half million... ...you'd have bought him, I think personally... ...even if only for cover... ...and the fact that they haven't... ...is quite ominous in terms of what money... ...will be available to spend... ...if any. That's my concern. Obviously he doesn't fancy him, does he? I was going to say, I'm just going to interject... ...and I don't know whether we'll see it... ...this way as well or whether... ...but... ...I really like Connor Cody... ...and if thinking in a world where... ...you've got a big budget... ...I would still have him... ...as what you've just said... ...but haven't we been critical... ...of the football club... ...for... ...his wages will be something like 80 grand a week... ...at least... ...and he's 30. Haven't we been critical of the football club... ...making these decisions... ...in the past and going... ...well... ...he'll be good for us... ...and if he doesn't get in... ...he can sit on the bench... ...and he's a good option to have... ...on. I think ever in the past... ...I've got to move past this... ...this is my opinion... ...I think we've got to get in a world where... ...our wages come down... ...so that we can... ...let the money flow a bit more... ...and we have to... ...if Connor Cody was 23... ...I'd be screaming blue made... ...even 25... ...but he's 30... ...we've got Tarkovsky's 30... ...but I'd sooner have Cody than Keen or Hullgate. Absolutely Dave, absolutely. It's getting rid of them though, we're selling them. I think it's just bad timing, isn't it? I think more than anything it's bad timing with Cody... ...because it was something that had to be done... ...by the first of June. I had that in England from... ...basically the moment... ...you went out to the side... ...that he probably wasn't going to sign it... ...but it's timing and I think if we can get rid of Keen... ...and get rid of Hullgate... ...and he hasn't already gone somewhere... ...that seems to me like there wasn't... ...going back to what Andy was saying... ...I don't think there was a real plan... ...for the situation... ...because they didn't really know what was going on... ...so I think we have to be very quick now... ...and the next couple of weeks are really critical... ...in what we're doing... ...I imagine Sean Dyshaupol would be straight back to work... ...and we have to get people out... ...and we have to get people in quite quickly... ...and we have to make... ...we have to make a real... ...he's said himself... ...but we think we have to get a real assessment... ...of what we're doing... ...and whether Branthwaite's going to come back in... ...and he's going to be the number one... ...tensor back alongside... ...Tarkovsky... ...so it's going to... ...I think we have to get a move on... ...and we have to get this sorted really quickly... ...just going back... I was going to just ask... ...what would you... ...go on there... I was going to say... ...there was no pushback... ...but what was... ...obviously the core, he scores... ...a worthy... ...and then you've got that extra... ...and to be honest... ... prisoners... ...seen a few things are born with like... ... incarceration... ...and actallty the opposite... ... personas wnaethe ychicioch... ...fisio hefyd... . Embod lladhdel sigh representant... Mae'n rhaid i fwy o 10 minnes yn y hysgr, i ffynol 10 minnes yn y ffynol, mae'n cael ei wneud o'r gyntafol, mae'n ffysgu'n gweithio. Ond eich dyfodd ddaf yn ddiffenol yn y cwrdd. Mae'n ddigonio i chi yw'r ddafod, mae'n ddigonio i chi, mae'n ddigonio i chi i chi, ond mae'n ddigonio i chi, mae'n ddigonio i chi ddim yn y ddiwrnodd, mae'n ddigonio i chi, fel yna ddigonio i chi, a hour after. The enormity of, like, oh my God, we could have gone! Do you know, that kind of enormity, like hit him as almost? He was like punk strung through the whole game and it was afterwards that had gone? And what were you like at the end? No it's exactly the same, just absolute relief when that final whistle went and then my phone went mad, you know, my mum was on the phone and you know other people were on the phone and then you know text were coming in left, right and centre! Mae'r ddysgu efallai diolch rott, i eich cymryd yn achos hwnnw yw i chi wedi bod yn gyd ac mae'n mynd o'n mynd i gael y du ac yna yw'r amreidd? Dyna'n iawn, rwy'n mynd i chi ymgirionedd, rwy'n byw, yn y gallu dych chi wedi'i'u gweld y wrthod i'n amlwg, yn ffwrdd y fwrdd y bwyd. A ryw fath i fel mae eich hwyl iawn i gyfnod. Masyf, bydd fydd gwaith, Byn. Yn yn dod am y tîm, mae'n gynllun i'r amlwg. Maen nhw, yn y ddechrau, yw'n dechrau i chi yn ddod? Felly, fynd yw'r ateb sy'n gweithio cyntaf o'r fathau? Felly, mae'r ddweud? Mae'n ddweud. Mae'n ddweud. Felly, mae'r ddweud. Mae'n ddweud. Mae'n ddweud. Mae'n ddweud. Mae'n ddweud. Mae'n ddweud. Mae'n ddweud. We had to say good-bye to us and I felt really sorry for him that he never got that chance and you can, you can sit here all season and you can have a go with people.  If we want to throw tomatoes at them while they're doing that, then that's up to us, but obviously that wouldn't have happened on Saturday and that disappointed me, that couldn't happen especially if someone like Tom Davis, Ion Seamus Coleman to show his appreciation. That really annoyed me. That was going to be my question. I was just going to say what did you make of that. Cos I thought for the likes of Gary Mina. Even Connor Cody who's done a season and okay. Whether you like him, don't like him, whatever. I think every time the lad's pulled a blue shirt on he's given everything. Whether he's had a go at it more or not, he's given everything. He's always wanted to do really well for everything. I thought that was a little bit of a disappointing thing to not be able to go. All right, you know you've done it. Or for them to clap and just go, thanks for this. It doesn't have to be a big thing. It doesn't have to make a big thing of it. But just a little, especially for someone like Yeri. Cos I think Yeri Mina, again, and we know he's injury prone. We know that, it doesn't need saying. But he come back in and for the four games, the only game he lost was Man City and everyone uses to Man City. So you know he was excellent for his career to come. Yeah, him shithousing someone is one of the rare joys this season.  It's one of the rare little bits of relief and fun that we've had this season. So, I mean, whenever he's put on a blue shirt, he's been brilliant. But that is just that, you know, him, I guess you put a cow of a loon in the same kind of bracket. You can't be paying those wages for people playing that amount of games per season. So what is with that? Yeah, well, Andy, going back to the end, then what was it like? When did you find out as you up? Did you find out almost when it finished? Or was it? The Goofy tell you. The Goofy tell you. I didn't get that.  You're safe, you know. It's another year. Imagine being told you're going down.  That's it. That's going to be the peak low. If Goofy's breaking that news. All the difference as well. All the difference. I don't know how to say this to you. Lester One. No, I found out I was refreshing me phone, refreshing me phone and the guy I do the show with Richie was getting alerts on his watch when it was going on. So. Cundi light. Cundi light. I mean, like I said, I was eating dinner on the boat. Check me out, but I wasn't there. That ten minutes was the longest ten minutes of my entire life. And I felt like I couldn't concentrate or talk to people. It was just almost like an out of body experience, that final ten minutes. And then, yeah, relief echo what they've said. I got a lot of, you know, it's been hard being an editor in the past few seasons. I feel like we've been in the butt of a lot of jokes and, you know, everyone's taken the mickey out of us. But I genuinely felt that a lot of people were kind of happy that we did stay up actually got a lot of nice messages from people. And I think people just have empathy for the kind of pain that we've been going through. But it was weird. It was a weird celebration. It was like it was like getting away with something for the second time running a little bit, do you know what I mean? And almost a little bit embarrassed to be like cheers, fellow blues and all that kind of stuff.  But like I just said before, you know, you can't go for all this again. I'll, you know, get down to the last day of the season. My thing at the moment that is going around in my head a lot is what is the path out of this? What are the steps that Everton make to, you know, get put this situation behind us and just start to look to the future. And like, you know, we've got a board that can't come to the games or won't come to the games or, you know, I don't know what you guys think. But if you were planning the first couple of steps to a brighter future right now, new season, white the slate clean, what word do you reckon we go? Well, I mean, for me, I think we've already started. And sadly, it's with the refusal to sign Conacody. That's a major indication of what I know. I've seen other people seeing it differently. I think Dave might have touched on it before. But I hope I see this, hopefully, from my perspective as the start, you know, the start of, right, we're going after really tighten our belts, so to speak, and think about what we're doing. We got a situation where we played probably. Wasn't the most important game in Everton City, but it may well have been because it might have ended the club if we'd have gone that. Who knows? Who knows? But we played that game without a striker. And without any fullbacks. So that tells you the state of the squad. So, therefore, collecting players has to be the end of it. We can't, sadly, the days of thinking that we can pay everyone 90 grand a week and 100 grand a week and just collect players. It's over. It's over. We've got to pull that wage bill right back down. Certainly till we get in the new stadium right back down to you. To you almost like you David Moyes type days of 50 grand a week and 60 grand a week. And that's it. And until we do that, we are the path out of it, Andy, is a difficult one. What I would say is, in terms of like the FFP, there's a big year drops off on the 30th of June. So it's done over three seasons and a minus 93 million drops off it. So, therefore, Everton come back within the boundaries of FFP, which means they can spend a little bit more money. But obviously it's how you spend it. If Everton have got a budget of, and I'm making this up, but if Everton have got a budget of £50 million this summer, we need six players. It's not going to go that far if you go, well, we'll have him for 30 million and we'll have him. Now it can, if you're amateur, you know, if you then say, well, I'll buy David for 30 million, but I'm going to pay six million a year over five years, which is what a lot of clubs do, then great you can do that. And that's how Everton are going to do it. That's how they've got to do it. That's just my view. Don't know whether Pet, Caesar, Diffney or you boys see any Diffney. But that's the only way. I just think we have to get rid of the sentimentality a little bit and just get down to some hard work of bringing in some solid plays that we used to have at the club. I think that's that's the path out of it. Are we going to buy really talented players? Probably not. I think we have to just, you know, get some really good solid players like like your James Tarkowski who's going to play 38 games a season. And they're going to be if you have a collection of them, if you have six, seven of them in the team and then sprinkle goals on it. Yeah, we sprinkle a few quality players. I'm someone like the answer. I think there's young people can learn. I really, I really like Connor Cody, but I completely understand why you don't go and sign them the day after because you don't know the future of Michael Keane. You don't know the future of Mason Hogg. It's not going to be easy shift in those place. You do need another left back. You just lost a left back. You need to enter four. You need a wide player. You need creativity. So I'm not going to I'm going to start at the front and off the back. And I hope that's what the manager does as well. So it's just about bringing those plays and then you go, who is that? I'm not sure about him, you know, or not. I don't know too much about him. But when they get on the pitch, they work the socks off and make us make us a difficult team to beat, you can score the odd goal. Better players, better results. Hire up the league, more money. You've got to start somewhere. And it's only, by the way, it's only two, three more wins, isn't it? And you look at it, you look at it in a completely different context. If you're 40, you get 43 points next season, but you've already got, like, say, 35 of them by by April or whatever. And you're looking at the season going, we've done all right there, we're going to relax. We're not going to go down. But like you look at, like, say, Wolves, you know, I went to Wolves the penultimate week of the season. They were all really relaxed. They could see the last minute equaliser and they were all like, Oh, well, we're going to say goodbye to this player. I'm going to say goodbye to that player. I'd like, I'd like a couple of those seasons, please. And yeah, a mid-table obscurity would suit me this season, to be honest with you. You know, just something really calm, you know, no pressure at either end of the table. Just a stability season would do me. Well, Dave, if Everton done that and finished five places higher and finished in the heat, you know, the dizzying height of 12th. That's another 10, 11 million pound in price. Which means essentially means a 30 million pound player if you're amatiser properly. So it is those. They're the ways out on the thing. I think we do have to cut away what's what and balance the squeak. We have like eight centrebacks and one striker. And it's that's what I'll do when you look at the squad. That's why the squad is in the mess it's in really. And I guess it's trying to balance it's a difficult one. But listen, I'm sure you went and had a couple of pinnacle ladders with Guffy and Minnie after it and went down the slide. And let's move on to that. That's that's enough evidence. That's that's it. We stayed up not to celebrate. Hopefully this huge change is coming. I think that I think there are. And then we can all move forward and you're both absolutely right. There's no point surviving to do this all again next season, because I'll be honest with you. I don't think the Everton needs to have the energy to go three on the run and try to do it. And I think we'd go. I think we'd go down. So I think it will be different next season and whether Sean Dytters, everyone's cup of tea or he isn't, I still think over a full season. I think I think Evan would be OK. I think it's what we need at the moment. Yeah, I really do. Maybe no frills. Just get it, get it, get it organised. Anyway, yeah, yeah, that's Evan. Right, let's go with you first, Andy, because you were you in here last week, so we didn't do it. And Dave was busy as well, so we give it a miss. But you were away cruising away on a Disney cruise. So come on, what was it like? What was it like? It was absolutely blew my mind. I was I was deeply worried about how I would deal with it because like I'm not a Disney guy. I'm not a massive fan of the films really. I'm not that I don't like them. I just don't really watch them. The kids love them and everything. And it was just brilliant. I think having grown up like a lot of my jobs before getting into radio work was in catering because I grew up in Devon, so a lot of kitchen stuff.  I'm always really impressed when you've got like a slick operation, no matter what it is. And it was just the most unbelievable operation overall. It was a boat called the Disney Dream sailing around the Mediterranean. So like we did stops in Barcelona, Cannes, Livorno, Rome and places like that. And it's got nightclubs, it's got bars, it's got deck games, swimming pools, aqueduct, that thing around the outside of it, like a flume. You can eat 24 hours a day, seven days a week. You know, you get your staff that serve you for dinner. Follow you around the ship. So every time you move to a different restaurant, you have the same team. So they get to know, they take a notebook round so they know what the kids do and don't like. I mean, it was it was absolutely amazing and it was great to be away from obviously the tail end of the season as we just talked about. But as a new experience goes, cruising seems to be quite hot at the moment. And it kind of blew my mind and it makes us want to go on another cruise. Like I heard quite a lot of it actually when I was in the car this last week, one day in particular, which I thought, you know, listen, I like I like your show and it's incredibly random, but never more random than the other day when you were playing ping pong on the radio. That was the first thing which I've never ever heard before. Lai ping pong on the radio between you and you and Richie. And then there was then there was an opportunity to take part with people to ring in to say that what would you if you were transported back to the 1700s, what would your occupation be? Which I found really where did that come from exactly? Well, there was a pirate party on Wednesday or Thursday night. So they got us an outfit each. So Richie was a rum smuggler and I was a buck here. I couldn't understand where the 1700 reference came from because I obviously missed the start of that. And I just thought this is really strange. And people kind of going, I think I'd be a yeoman or I'd be a town cryer. This is just really. Well, it does make you think, though. Can you imagine what do you have? You guys have any idea? Like if this was 1705, what do you think you would be? You know, if you're alive then quantum leap type thing, what do you think you'd do with your job? We couldn't podcast, obviously, because there's no technology. No, we'll just meet up in a tavern, I guess. Yeah, and just sit in the corner. But that'd be a good time for an hour in a tavern.  Oh, people were listening in. Yeah, yeah, absolutely. But you gather round, you gather round. The same approach. I think it'd be quite, I think you'd get a lot of people gathering round, though, because not many people. I mean, we'd have had to have had the idea first. And there's not much to do, is there? It did strike me, though, for a minute. That would be something Jeremy Vaughan would do. I'd be on radio two at 12 o'clock, you know, you know, you just get in your car and you've got the radio on from the last day and Jeremy Vaughan's on, I'm just thinking. There will be something like, it's Carol in Swindon. Hello, Jeremy. Well, I would probably will have died from the plague when I was 14. I'd probably work in a bar, work in a bar, why not? Yeah, you could see over the bar, never mind, work in a bar. That's a bit harsh. I could see I could see Dave maybe travelling the waterways on the cableboards back then. Absolutely. But some kind of kayak.  Taking the shite out of it. Yeah, maybe. Probably a kinsaw what he does now. Probably, pretty much, pretty much. But now I enjoyed your week on the high seas bush. My only, you know, the thing that I was wondering though, and I felt that maybe Mr Trick is that I thought that maybe you should have branded the week as absolute ship, which I think just would have just had a nice ring to it. Do you not think? Yeah, I just want to be careful how you say that, I guess, but yeah, that would have been good. Absolute ship would have just had a nice tone, I think. I could imagine Walt would have had an issue with that. Walt might have, yeah. His frozen head, which is in the bowels of the ship, would have been, may have had a few issues. Fy yddi anechly, frozen brain, would have been like. And Walt may have thought that we were taking the mickey as well, which we wouldn't have been doing. You know, that's important too. That's why it's easier. Very clear of. There it is. Andy, did you feel any of the swell? Any of was the boat moving a little bit? Did you have sea legs or anything?  You could feel it a little bit.  So there was like no hardly any waves and stuff like that at all. So I think that they're doing cruises from Southampton starting in September, which will go around. Hang on, you don't need to plug it in. He's got another freebie on the way. I'm not. I'm not. I promise I won't say for details. You used to use the code BUSH23 now. Imagine that us on the cruise. Yes, imagine doing this from the Disney Dream for a week. That would be come on. Honestly, can you imagine? Can you imagine ped on a Disney cruise? Oh, my control. We'll be on the sea. I don't see a completely different side of me. You will completely different side of me. I think I think Ped would get like quite into the kind of boat where, you know, like stripy tops, deck shoes, that kind of thing, but great Gatsby kind of a form be great Gatsby. We'd like short, but like a full on jumper as well on top, but you know what I mean? He'd have to have that in there. Or the jumper over the over the shoulders, with his knees hanging down. He'd have to have some Everton regalia, though. The jumper would be an Everton, so it would sure off. No, no, no, no. There was there was one there was one fella on on the ship that had a different Everton top on every single day. Top, man. Tremendous. So he was like the one beacon of like obviously aware of the situation. He was represent. I don't know if it was like an ever and then there's lots of Americans. So it was an American Ebertonian, but he did look like a, he looked British. So there was a kind of, you could see, you know, there's a connection out there. But yeah, I mean, I think this podcast on the high seas next season would be great. We'll be tremendous. We'll put on a weather beacon. We'll have to try and wangalee. That will be just be hot. It should be halter Rotterdam. It'd be the ferry. Yeah, yeah. It'd just be the ferry. I know what, right there. I nearly I was booked to DJ. You know the shine on weekend of that? I normally DJ at that in Butlins in my head. We I was due to do a gig on that halter Rotterdam ferry for shine on just in and got cancelled right at the start of covid. Right. I don't know what kind of crossing that would be. That's why I was saying the Southampton one. They've got to go around the Bay of Biscay. I think to get into the med. But isn't it isn't the Bay of Biscay a bit tasty? Yeah.  So I don't know. I don't know. I'm not sure. I don't know how I'd be.  You wouldn't feel it. But I mean, do you guys get seasick? Any of you look at Dave? Obviously not because he lives on on the sea. Yeah. On the water. You know what? I've only Kevin Cossner there. The worst we the worst I've been on. And it wasn't even bad. I don't go on them. So I don't like the I want to do a river. I've said this before on the river cruise because I've got land on both sides. I'm happy with that all day. But when we went to Switzerland, to me and Pead went to Switzerland a few years ago on a coach. So what's the evidence? We were in Switzerland for nine hours. We went there and watched everything beat Monaco. But we got on the ferry at Dover. As you do. As you do. And we got up to it. He was sat down and got up to go and get it. We like don't get a drink somewhere. And when it started moving.  I felt like I was bladded. Hadn't had a drink. And I was like, oh my God. If this carries on. I can't.  I'm just like, oh my God. I tried to sit down. I was thinking, if this goes like this, I'm going to be throwing up everywhere. But luckily it was just when you got out of the. As you got out the port, it was fine. It was fine after that. But I couldn't. I could not be on one of them and it's bouncing everywhere. I'd be petrified. Petrified. So now with the river cruise. I remember I was on one once and it's the. The propeller can come out the water if it's too rough. Oh, my God. And it came out the water and it sends a vibration all the way through the ship. And I honestly felt like we were going to sink. I was hot. I was not as a kid. It was horrible. Absolutely horrible that feeling. But I don't know. Irish crossings. I mean, we have done the Swansea Cork Ferry, which was like. I've done Fishguard to Ross Lear. And I've done obviously the steam pack it over to the Alaman as well. Oh, no, I've found this new technology called Plane. Yeah, yeah. Amazing. You want to try them? I mean, you're not exactly a lover of them.  No, no. Again, it's it's more the fear of death. Yeah, I find. The fear of planes. It's the fear of what's far too many things.   You're terrified. It's just when it leaves the floor. Yes, it's like, you know, you're not scared of flying. You're just scared of crashing into an enormous mountain. Yeah. Yeah. Mountain to fight. It's oceans. It's when I'm when I'm when I'm flying, it's always when you're over the water. I'm always thinking, oh, God, this this is like, you know, it's the whole it's cast away, isn't it? I think you've got. I think you've got more chance over the water than hitting a mountain range. What a statistically. It's pretty final. Well, the water's got a lot of sharks in there as well. That wouldn't be good. Still thinking more chance. The problem is that that, you know, an airplane and a mountain normally doesn't go well. No, no. No, but I've got visions of being with Baz and then Baz is, Baz goes, Baz goes full rose and he won't let me on. He won't let me on the bed of shrapnel. You know, that's keeping the bit of water over there. Baz is like, no, no, and I'm clinging on for daylight in the next minute. Baz looks down after having a little kiss for an hour and goes, just sees I'm frozen, takes me on, just unlashes it from the bed of plane and just see me drift down towards the massive blue gem. Is another hypothetical situation. Let's just say, God forbid you and Baz are on a flight somewhere to watch an Everton pre-season game. You end up crashing in the in the in the Andes and Baz sadly in the ice has expired and you starve in bed. You're looking at Baz, which bit of him are you going to eat to survive? Well, that's the issue, isn't it? There's not much of him. I mean, if I was the other way round, he'd have an absolute feast. He'd have a full on. He'd be laughing at that stuff. It's like a Disney cruise, like 24 hours a day, wouldn't it? I can't. I simply could not have any more of absolutely no really. We shouldn't go on planes together. We should be like the royal family. We should go on separate planes to make sure because God forbid we couldn't let Ned be in charge of this. I think I think Baz would taste quite gamey.  Yeah, yeah, yeah. Start with me, Baz. Do you have to put the heavy season, I think? Yeah, yeah, yeah, fair enough. Yeah, just slow cooking or something like that. What, air frying? Cos that's what I've brought with me. That's what I've brought with me. I've brought the air fryer, and you've got a rechargeable thing that you can just plug it in. That's a charge ready just in case you're on the plank there in the middle of the sea. Well, it's awake, and you'll have it in and there you go. Start with me, I've got my thighs, I still mostly use them. Let's get off us crashing and being out in the middle of the sea, floating on a piece of metal, whatever it may be. So overall, Andy, it was a tremendous experience. It was, it was unlike anything I'd ever experienced before in my entire life. And yeah, it makes me want to go back to the high seas. I'd love to go and do another cruise. I don't know whether we'd be able to afford it or not, cos I think it's quite, they're on the pricey side, that's for sure. But there's loads of them now. There's Norwegian ones, we go around the fjords. That sound, that looks pretty cool. That's the one I want to do. Yeah, so, yeah, man, I mean, it makes me realise that maybe we're a bit kind of like, a bit narrow minded on the kind of holidays that we normally go on. So maybe try something like that. Do you got any, do you got any dizzy codes, Andy? Any what? Any dizzy codes, any discount codes, you know, you know, as Bas said, Bush 23.  No, that would have been good, wouldn't it? Yeah, Bush 23. I know Bush. Yeah, yeah, yeah, yeah, I love Bush. It could be any friend of Bush. Yeah, yeah, yeah, try putting that in on Disney's website. Disney website, see what it does. Absolut, absolute Bush. Yeah, absolute Bush, you know. Ye old podcast. Yeah. Can you imagine getting sort of pulled up by the internet cops on a Disney website? I mean, you know, trying to put into the Bush codes. Yeah, it'd be embarrassing, wouldn't it? We haven't got to watch out for that. It wouldn't be good. Dave, moving on to you.  The part I did see your post last week, I think it was saying season open or something paddle board. Yeah, yeah, absolutely, yeah. So, I mean, this has been, I imagine, this has been perfect weather to be out on your board. It's been good, it's been really good. So, yeah, last weekend was the official season opener to the paddle board season. You know, there was no big sort of display or anything. I've got to say to someone, cut the ribbon and off you went. I mean, it was it was it was less it was less sort of it was less dramatic than that.  So that was a celebratory. That's a sort of pre pre-entry requirement. So I did all that. And yeah, two weekends now and I've been bobbin around and it's been been nice yesterday. It was lovely. I think I see pasties in the bay. No, no, that's a Cornwall thing. But I do need to book in my next trip down to Cornwall and go go paddle boarding for pasties down there. But no pasties in this neck of the woods. Sadly, sadly. I like to see some GoPro footage of Dave doing that. That will be good. I think I need to get a GoPro sort of like head mount. Like to sell. Yeah, absolutely.  Yeah, all that lad that chases all the trains. Oh, yeah, yeah, yeah, yeah, yeah, yeah, except that he has his camera facing him, though, doesn't he? Well, that might be quite nice. That'd be good. Yeah, yeah. Get what's behind you. Tremendous Dave, you look forward to lots more. Lots more of that going on. Changing tack just quit. I know peds going to leave early, but that's fine. But a bit of will young from peds in a bit. Got to go to skim to get here.  I wasn't going to say that, but you've gone there. But it's been a lot made of. I don't know whether you've been up with this handy at the moment, but there's loads going on with. Aye, at the moment, some wrathful full crisis in the world. I've just watched a Dair if a CEO podcast with Mo Gordith, who was with the Google and all that saying basically need to stop right now because otherwise machines will be running the world in in two years, he said, which is terrifying. Right. Have you got is there any real concerns from either of you over this AI threat that we are now facing? Cos it seems a bit scary, the thought of it. Yeah, I think it's scary.  I don't think a lot of us do. I mean, I don't even really understand seamless grapes and stuff like that, but I really can't get my head around. But I think it's really scary. And I think that when you've got somebody who is an absolute expert in their field, as this guy is, you know, and nobody knows more about this technology and this sort of direction than him. I think if he's saying, this is scary shit now and we need to pull out because this is just going to go too far, I think you've absolutely got to listen to him. You know, what could be more scary than someone like him saying that AI is scary? But my only issue with it is, right, is that, you know, like I watch Terminator and everything and obviously their thing is like robots absolutely battering us and enslaving us and all that kind of thing. But as far as I can tell at the moment, like robots still can't get upstairs or anything. Do you know what I mean? Like have you seen a robot trying to get up a stairs at one of these robot things? So I feel like they've let the side down a little bit in terms of the advance of... I don't think it'll be long. I don't think it'll be long. Well, yeah, but I live in a townhouse so I've got like another flight, I'll be all right. You've got a couple of years left by the time. I'm okay. Isn't it like Milton Keynes that got loads of little wheel-along robots? Oh, yeah, yeah, yeah, have you ever seen them? They're mad. I've seen photos of it, it looks pretty crazy. Do you know about this back then? No, no. No, this isn't a pistake. No, no. So in Milton Keynes and a couple of other places, I've seen them and they have these, they're like food delivery robots. So they are like a little buggy with four wheels on there and then there's like a big kind of flag so you can see them coming. And what happens is, is that if you order a pizza or something like that, I don't quite know how to get the pizza in there or a burger or whatever it is. And they put the food into this little buggy and then they obviously put a postcode in there and this buggy goes down the pavement, it crosses roads and everything and will actually pull up outside your house, right? Because I remember I was there a couple of years ago and I was, we were filming and the cameraman was with us and he just kind of goes, what's that? And I said, oh, that's one of those food delivery robots. And again, he thought I was taking the piss but they do genuinely exist, Google it. It's like Big Trek. It's like a modern version of the kids toy from the 80s, Big Trek. It's really weird that when you see it coming down the street. I bet. Can you ride one? Can you get on one and like if you knew it was going to get a lift? I think if you were a small child, you could probably, you know, well, you know, I think even bars would be too big for it. Even bars. That would last about five minutes in Liverpool.  The scooters that we've got in the city end up just literally flung all over the place. So can you imagine something with food in it? It would last about two minutes. Absolutely. It's not for everywhere, that's for sure. Fair play to Milton Keynes, they've gone. So, aye, aye, worrying. But let's see how it goes. It's worrying, but don't you think we've also had a good crack every? You know, maybe it's time for someone else to come and give, let them take charge of things. Cos, you know, we've had, you know, I just, the pinnacle of life, if that's going round a bit of water on about them, I think, you know, I think we need to maybe let someone else take over for a bit. It's wet, it's hot. And I'll be over a bit. It can edit, it can edit. Yeah. We use it every day. We can't start complaining about it, brilliant. Let's roll. The thing that, where it passed the test, though, that has caused all this concern, is that it was an AI was trying to pass a capture test, you know, where you have to fill in this thing. Yeah. And what it did, it convinced someone else remotely that it was visually impaired and got them to answer the test for them. Oh, my God. So that they could then pass the test. So that's been one of the big kind of landmark moments where, hold on a minute, this has gone in a direction I don't think they kind of anticipated. No, well, he's saying it's got consciousness now, yeah. And there's the other thing is that, apparently there's been two Drake records, at least that basically AI has just done. It's used his voice and created two songs that isn't him, but they're basically Drake songs and they're now posing the question of like, well, what's going to be the point of any of them? I mean, that's not it. Although I don't, to be honest, I don't see AI turning up in the beard of Thand in Ray and Il and playing to the pub to be fair.  Yeah, we go. Terrifying. Let's have some, let's have some of our subscriber questions because these are always interesting. These are always interesting. Paul Lipsy says, all right, lads, great debut season for you boys. I've loved this show the most. Thank you very much, Paul. Thank you very much. If you could snap your fingers and you'd be a virtuoso standard player of any instrument, what would it be and why? Now, any tales of music instrument, wow, or success from your past, singing doesn't count. What instrument have you cut? See, a guitar I'd love to play and I know that isn't like, oh my God, I'd love to be a billionaire one day and now I could probably lay it in the guitar. I'm not going to, but I would love to just be able to play it. Is there anything you lads would like to just go and you're amazing now? I remember having a Tim Whistle. I got bought a Tim Whistle when I was a kid and they're terrible things, aren't they, Tim Whistle? It's awful, absolutely awful. But I'd love to be able to play that really well. John, is it James Galway? Was that his name or James? What was his name? There's a flute player. Who's the flute player with the beard? Oh yeah, somebody haunting. Either way, I'd like to play a haunting gaelic music on that and make people cry. Make people in the vicinity of me just think, oh my God, that's absolutely lovely. Okay.  Yeah, exactly.  Oh, that's absolutely awful.  Would you would go down that route as well? Cos I think, you know, you've got to have a range in your repertoire. You've got to have them in tears in multiple emotional states. Well, maybe get myself in the gladdistry end and I can be kind of like a bit of a rabble rowser for people. Sure, yeah, and see if you can... Kind of orange order vibes, though. That's the only problem when you do it. That's the problem with that. If you look at that, Andy, I can't even get a bottle top in the gladdistry, never mind, absolutely. You've got no chance. No idea where you're smuggling that. Right. Dave, any instruments? Well, I mean, again, it's predictable, but I think the guitar is a good one. And the reason for that is that there's always a guitar around somewhere. And I like the idea of being one of those people where you can turn up without any equipment and then just really impress them because, you know, a bit like raps, there's probably a guitar within every kind of four or five, four, isn't there, somewhere? You know, everyone's got one. Like if your mate hasn't got one, your next door neighbour's got one or whatever. So I think it'd be good to have something where you could just turn up to barbecue and then just suddenly be amazing and really, really impress people and then just put it down and then just go home. I like that. I don't see Dave playing more than words by extreme. That's my wedding song. Absolutely. Is it? My wedding song, yeah. They're on tour again at the minute. I saw extreme. It's tremendous. I'd love to see Dave playing that. Dave playing that, it's amazing. Go on, Peds. What was yours? Bagpipes. OK. They are impressive. The number one, they are very, very... You can imagine how many people I could have known playing bagpipes, but also the same... You've got the Scottish look for it as well. You've heard a lot of them.  And it's something that not many people can play. So therefore, you know, you would be getting all the weddings and all the funerals in your local area. You would. And bar mitzfus, you know. At the code BUSH23, get your 10% discount. Peds, last question for... I know you've got to go. Won't be a last question, but this is from Glen Watson. There's not a football question, and he's used you. That's why I'm including you to start with football. Peds originally didn't like Dwight McNeill, but he grew on him towards the end of the season. At first, there you go. At first, I didn't like sparkling water, but now I get busy with fizzy every day. So my question is, what is something in life you originally did not like but grew to love?  Sparkling water. Sparkling water is horrendous. Yeah, I don't want to know. I love sports. You're probably sparkling water. Well, because it's got a funny gas taste. I know, it's water. It's not supposed to... It makes me feel alive. It makes me feel alive. I know it's wrong. It just shouldn't happen. So come on, Peds. It's bubbles. It's just air in water, you two. It's not supposed to be in water. There's not supposed to be air in water. There's no rules on that. But it's actually a nasty taste. Weird. Somethin' I don't know if I could answer that in this short. But there's probably loads of things. I imagine some kind of food. I imagine that I probably didn't used to like when I was a kid or used to probably think it looked disgust or whatever.  But I can't think of anything off the top of my head that I would say right now. OK. But yeah, there you go. All right, great answer. Andy, you something you didn't... You were nonplussed with or now you really like it? I used to hate olives. I used to absolutely despise olives with all my heart. And then now I absolutely love them. Green olives used to make me sicker than even the thought of them. But now I remember accidentally having a stuffed olive off a... You remember you used to put olives, stuffed olives on the bar back in the day when you... Back in the day, yeah. I remember having one of them thinking this is awful. This is absolutely awful. And now I just can't get enough of them. I don't know what happened. Then we'll wear it all changed. Dave? Black pepper for me. OK. Never was a fan of black pepper when I was a kid. And my dad used to use it a lot and I just couldn't eat it. And now I literally smother everything in black pepper and... Everything. Well, you know, not my cereal. But you know what I mean? But anything kind of savoury normally has black pepper involved on there, yeah, yeah. Now I'm the same mate, I have black pepper over everything. And I absolutely love it. Mine would be nuts. I've really got into the health thing and all of that. I've really like... I never used to be able to eat nuts or whatever. But now almonds, walnuts, sunflower seeds, chai, all of that. Nuts and seeds. Dry roasted. You know, the two caveats that are peanuts, I can't... I just don't like the taste of them. And dry roasted, I can't have either. And almonds, walnuts, pecans, pistachios, all of them. Can I ask another question? Very quick, you mentioned there about Pedd and he's just left now because he had to leave early, so I'm just going to ask you guys. Have you ever walked out early from an Everton game? Or when was the last time, if you have, when was that? I've always made quite a mission because I've lived far away from Goodison Park to go. So why would you drive all that way and then leave early? But like, I guess if you live nearer the stadium, you're more within your rights to go early. You guys ever walked out before? The only game I've ever walked out of early was the 2012 FA Cup semi-final against Liverpool. And Andy Carroll scored in the 90th minute. And I think he put up like three minutes of four minutes to the board and I think I went after about a minute into it next to the time because we didn't get the ball and I thought I cannot be in this stadium when the final whistle goes on. And it was a day when, if you don't know whether you remember it, we were winning Yelavitch Court, we were all over them. The game should have been done at half time. And in Everton fashion it didn't. And we rode the first kind of 10 or 15 minutes out of the second half when they were all over us. And we got through that period into the period where the game had settled back down and it was a bit of nothing. And then disdammed the back pass and it changed. And then Coleman come on as a sub and pushed Yerad in the back when he was going nowhere and he took the free kick and caroled it in. That was the only one I've ever walked out of. Cos I'm like, I've gone, I've paid me money and I'm going to watch every minute because I'm there as a supporter. I'm not there to get off. I understand some people have to go to that, whatever, but now that's the only game I've ever walked out of, really. I don't know. I mean, again, only from kind of big event stuff like Wembley stuff. But as a general rule, no, goodness. And I don't leave early just because I think, you know, you're there and that's it and you're going to be there to the end. And I am talking of leaving early. I'm going to have to go in a second. OK, I'm sorry, what is trying to get out of me? No worries.  I've got three questions. If you've got to go, Dave, you've got to go. Well, no, no, go on. OK, give us the three questions. Right, what do you think of the pedestrianisation of Norwich City Centre? Don't answer it. Don't answer it. That isn't a real one. That isn't a real one. Matt said and says, what is your food or beverage game changer ever? I saw the stream George Foreman Grill, ninja.  I'd say that's just a coffee machine in the air.  That very much is a game changer for you. Every every day I use it for my lunch, but I haven't got an injured air fryer. But anyone that I know who's got them just is like a different person.  Well, yeah, although when I was a kid, though, I always wanted a soda stream because my friend Ian had one, you know, and we weren't allowed one in our house. And then we used to go over to Ian's house and his brother Gary and stuff. And then, you know, they used to make cherryade and orangeade and all those different things. And I thought it was amazing. But I'm more I'm more likely to drink them. I just I find sparkling water like pet. I just find that sort of strange, sort of slightly gassy taste I don't like very much. OK. Chad Schofield getting off an aeroplane before the doors are unlocked. Are you a sitting weight person? Be desperately get near by to your overhead locker only once the fast and seatbelt sign goes off or stand waiting with luggage ready disregarding seatbelt signage or please from the cabin crew?  And then down again ready to go. Yeah, me too, Andy. Any difference on that? But not beforehand, you know, this is still this is still adhering to rules, regulations, regulations, aviation, regulations. What are you, Andy?  Always. Absolutely. Matt, in fact, on the flight back, yeah, go on. Yeah. On the flight back.  Then wait for everyone to get off, then get off class. It's quite complicated. That's quite classy, though. Classy waiting. Matt signed says. Diolch yn fawr. Diolch yn 78. Agoniant. I am seeking your advice on a minor issue I've encountered. Recently, HR contacted me mentioning their software had discovered the correlation between my sick days, instances of leaving work, early family emergencies and the match schedules of Everton Football Club impressive since I'm in Toronto. While I understand the correlation does not imply causation, I would appreciate your guidance on how to address this situation and redirect the suspicions of HR. I don't think you can, Andy. Sorry, Matt. I think I think you just. You just say that on those days whenever they're playing, you've got a medical issue that makes you nervous and ill. That's what I would say. Nothing you can do about it. And the final one. Choose your worst pizza toppings you can think of. OK. Go with three. Go on, goat's cheese, goat's cheese, coriander and mushrooms. Oh, I'm going to go ham, pineapple and that one where they do a fried egg in the middle. Really ham and pie. A lot of people like ham and pineapple. I like I like a Hawaiian pizza. This is not here's the rule, right? Nothing nothing that goes on the top of the pizza should take longer to cook. Than the pizza itself. OK, I'll leave with that. Pizza, one of the pizza companies does a cheese burger topping on a pizza. It's a domino, isn't it? Yeah, yeah. I ain't having it. That's a me. That is too much. Too much. It's disgusting. Is that an AI? Two of the biggest threats to human being? They are and I have to say that. Right. That is us wrapped up for the season. There's a lot of calls for this not to stop during the summer. So me, I'll have to speak to the lads, but Peds not here next week, so there won't be one definitely for the next week or so. You do a sporadic kind of, you know, just a little check-in every so often. Absolutely. And it'd be nice not to do any football with it, really, as well. So we'll thrash that out. We'll get, you know, what's it's the two big players in this podcast. It's their agent I have to speak to, but we'll see how we go. Listen, boys. Well, when you get hold of Peds agent and this agent, you know what it's fine. It's been an absolute pleasure. It's been an amazing podcast for me to do all season. I've loved every minute of it, so thank you very much for giving up your time all season. Thanks for having us. And for everyone else, thanks for listening. Make sure you subscribe and we'll see you soon. Take care.


So we have the fundamental theorem of finite abelian groups. Essentially, that any finite abelian group can be decomposed into a direct product of the integers mod n under addition. So let's see if we can decompose some groups. So let's set up with z31 under multiplication. Since z31 under multiplication, 31 is prime, so this has 31 minus 1, or 30, or 2, times 3, times 5 elements. Now remember, if g is a cyclic group with order p, q, where p and q are relatively prime, then g is isomorphic to zp cross zq. And so that means z31 under multiplication, which is cyclic with 30 elements, is going to be isomorphic to z2 cross z3 cross z5. So if I want to express the integers mod 1800 multiplication, well, since 18 is prime, then our group has 18 minus 117 elements. Wait, 18 is composite. Well, since 18 is composite, the integers mod 18 under multiplication will have phi of 18 elements, where we can calculate phi of 18 to be 6. And so the integers mod 18 under multiplication are isomorphic to z2 cross z3. How about the integers mod 16 under multiplication? Since 16 is composite, then the integers mod 16 under multiplication will have phi of 16 elements, which will be, now, since 8 is 2 to the 3rd, that means our integers under multiplication mod 16 could be isomorphic to one of the groups z8, z4 cross z2, or z2 cross z2 cross z2. So to decide, let's look for a feature of the integers mod 16 under multiplication that is not present in one of these products. And the easiest feature to compare is the order of an element. z8 has an element of order 8. The highest possible order of an element in z4 cross z2 is 4. And every non-identity element in z2 cross z2 cross z2 has order 2. So we can choose a random element and find its order. For example, let's pick the element 3. So the powers of 3 mod 16 are, this means we have an order 4 element, and so the integers mod 16 under multiplication can't be isomorphic to z2 cross z2 cross z2. This does mean we have to decide between z4 cross z2 and z8. And if we try other elements of our group, we find no element of the integers mod 16 under multiplication has order 8. So we can't be isomorphic to z8, and so we must be isomorphic to z4 cross z2. So sure, it's easy to prove there's an isomorphism, but what is that isomorphism really? So let's try and find an isomorphism. And since isomorphisms are bijections, it really doesn't matter which group we start with for a variety of reasons. It's easier to go from z4 cross z2 into the integers mod 16 under multiplication. So there are 8 elements of the integers mod 16 under multiplication, and they are. And to begin the construction of the isomorphism, remember that if a cross b is isomorphic to g, then the isomorphism has to map identities to identities. And so the identity in the integers mod 16 under multiplication must be the image of 00. Next, remember that isomorphisms must map elements of order n to elements of order n. So we found that 3 has order 4 in our group of integers mod 16 under multiplication, and the order 4 elements in z4 cross z2 are... And so the question is, which one gets mapped to 3? And the answer is, let's try it and see what happens. So suppose phi of 1, 0 gets mapped to 3. Then the powers of 1, 0 in z4 cross z2 must map to the powers of 3 in our group of integers mod 16 under multiplication. But remember the powers in z4 cross z2 are actually repeated sums. So these powers are... And these have to be assigned to the powers of 3, which are 3, 9, 11, and 1. We also notice that 15 has order 2, so it must be the image for an order 2 element in z4 cross z2. And these elements are... So picking one of these at random, how about 01, let's assign 01 to 15. Since we want phi to be a homomorphism, then we must preserve the binary operation. So we have phi of 01 equals 15, phi of 1, 0 equals 3, and if phi of something is 5, then we must have, since 15 is 3 times 5, phi of 01 equals phi of 1, 0 times phi of x, y. And since we have a homomorphism, we can combine the arguments. And since we want this to be a 1 to 1 function, then the argument 1 plus x, 0 plus y, must be the same as 01. And so comparing the terms component-wise, we have... And in fact, there is a unique solution, x equals 3, y equals 1, which means that phi must end 3, 1, to 5. And continuing, we might find phi of 3, 1, phi of 3, 1, phi of 3, 1. Well, that's really the same as phi of 9, 3, or phi of 1, 1. Over on the left-hand side, that's 5 by 5 by 5, or 13, and that gives us a new assignment. And at this point, 7 is the only element that doesn't have a preimage, and this leaves the last element, 2, 1, must be mapped to 7, which completes our isomorphism.


Hi, my name is Sergeant Brittany Smith. A1C Alexander Neal Soto. I'm Tech Sergeant Erica Miller. A1C Michael Wallmacher. I'm Lieutenant Josh Wallarth from the 354th Fighter Wing. At IELTSEN Air Force Base, Alaska. Home of the Pacific Air Force's first F-35 wing. Red Flag, Alaska. At America's premier fifth-generation training range. All of us wish you a happy 4th of July. With fun fireworks and sound freedom.