At least half of the reason I enjoy Fool Us is because of how kind and supportive Penn and Teller are to the performers. The other part is, well, the tricks are so clever.

@DBGEtude

Жыл бұрын

You can always tell if they’ve been fooled or not by how nice they are 😂

@runnergo1398

Жыл бұрын

I like when they get angry when they are fooled and give the magicians a "F*ck You" award lol.

@chrisbuckley1785

Жыл бұрын

Yeah it's a positive show which is rare. No one loses and it's kept lighthearted.

@TSfish94

Жыл бұрын

It’s also really cool because the consolation prize is almost as valuable as the actual one. They still get big exposure and professionally produced, high quality footage for reels.

@runnergo1398

Жыл бұрын

@@TSfish94 Ya. I love magicians and LOVE IT when they get the award. I know it's a big boost to their careers!

Helicopter, Uniforms, Military, Army, Navy Howler, Uakari, Monkey, Ape, Nomascus Houdini, Upper class citizen, Magician, Abraham Lincoln, Nobleman Himalaya, Ural, Mountain, Alps, Nepal Hotel, Urban, Manhattan, Apartment building, New York I'm sure there might some better choices. If not, you can always come up with a creative back story to properly link the term and the image!

@lGlppl

Жыл бұрын

Very clever! Never would have thought that. And I'm guessing the letters on the back are changeable?

@tyronebiggums450

Жыл бұрын

I was picking up on some of these options as I thought about how the pictures all seemed kind of generic looking.

@dutchreagan3676

Жыл бұрын

@@lGlppl Invisible ink.

@otallono

Жыл бұрын

@@dutchreagan3676 uh. No. Go and try to do this with "invisible ink" lol

@dutchreagan3676

Жыл бұрын

@@otallono I mean.. you can't see it so how would you know?

I really liked it when he asked him what the name of the monkey was. The performer glanced back at it when he answered. I believe it was a subtle way of confirming their theory of how the trick worked. The performer was unintentionally glancing back to check the position of the picture, remembering it was the U and so that's the name he needed to answer with.

@Snowdrift72

6 ай бұрын

Yeah! Also, when Penn says "The way the *middle* is constructed in this trick" he let's the performer know they figured it out with the double meaning.

@1vN9ne

6 ай бұрын

@@Snowdrift72 and the earlier comments about layers and "coming back and reinforcing". Honestly if the connections had been cleaner I would've been stumped but being able to see the lines on the M and N helped.

@ghosttwo2

6 ай бұрын

The key point is that the pictures have different names depending on where they're placed. The mountains for instance can be 'H'imalayas, 'Urals', 'M'ountain, 'A'lps, or 'Negoiu'. Little flaps and magnets on the back let him lock in the letter.

@gavdownes100

4 ай бұрын

That is a good observation you made there. I noticed him looking but didn't think he was searching

@gavdownes100

4 ай бұрын

that would be 25 combinations and words to remember @@ghosttwo2

What's most incredible is how Penn can communicate the required hints to the magician so that he/she can realize P&T haven't been fooled, all the while most of the audience hasn't the slightest clue about it.

@shizuxo

Жыл бұрын

if you know it you can communicate and rest of people dont understand hence the fascination

@TechTomVideo

Жыл бұрын

you clearly see the seams of the signs

@boreduser12

Жыл бұрын

I'm impressed by that always. That's the real magic.

@Furycrab

Жыл бұрын

I think this one was a little on the nose. That said, the camera makes this trick easier to spot that I'm not sure what the audience sees.

@frostfallgaming1708

Жыл бұрын

@@TechTomVideo precisely, though the audience would have a hard time seeing them from far away. More than likely there are varying heights of sticks in the easels that push the middle to the appropriate setting.

Yann. I'm so impressed that you could create such a clever linguistic trick in a language that is not your Mother Tongue! Ausgezeichnet!

@flonixcorn

Жыл бұрын

well you see how did he get the letters on the back of the cards? magnets?

@runnergo1398

Жыл бұрын

@@flonixcorn I think the trick was that the pictures can be renamed to each letter. For example, the monkey could easily be called a "Monkey" for the M in "HUMAN" if it was placed in the 3rd slot. Even Penn made a point to call it a monkey. So ya, magnets would be required to change the letter on the back.

@atomic_wait

5 ай бұрын

​@@runnergo1398I think you're right about the ambiguous naming thing. Alps could be Mountains, Nature, Highlands, Uplands for example.

Actually appreciate the need to get the papers from off stage. They did have 120 different options depending on what she chose, each using the words he used to describe the pictures based on their location and of course purposely off by the numbers, but reinforcing that notion that those were the only possible names for those pictures.

@oranpf

Жыл бұрын

It would be sooo much better without, though. On fool us, it first seems like a nice red herring at first, but I feel like Penn gave it away a bit too much if it wasn't glaringly obvious. I would have asked "So you won with this exact trick in a European competition? Were you performing in your native tongue for that or did you have to speak English?"

@manp1039

Жыл бұрын

how do you think he got the backs of the cards st spell out human in the correct order if she was selecting the placement of the fisrt 4 pictures?

@illinialumni

Жыл бұрын

@@manp1039 There are clear slit lines showing on all of the backs. The left and right vertical lines are the same for all, and the middle one is one of 5. There must be something on the easel that "click's" the right middle portion into place. I'm sure all five pictures have the same exact mechanism, and it's the easels that are the critical part of the trick. Have her move the easels around and the magician likely wouldn't have been so happy. At least that's my guess.

@manp1039

Жыл бұрын

@@illinialumni that is what i concluded too. i wonder if there was anything he could have done to improve on this trick.

@frankcayseron8637

Жыл бұрын

@@manp1039 i am thinking he had script prepared for any outcome Alison come up with. LIke for "Alps" for example. if she put it in 3rd place instead of 4th, he would just say it is art of mountain so M, or if it is in 1st, he would just say it is himalayi and not alps. Penn basically spoonfed me this theory by pointing out that you could simply call Uakari a "monkey" and it would be M. i think it is case of multiple outs as in he has story prepared to "name" every art to spell human no matter where alison position it, and then papers come in important to make audience think that words used and narrative told is only option (making illusion that there is no multiple outs)

this is one of the most genius wordplays i've ever seen. what a beautiful, brilliant act

Very subtle and clever. And, as noted, the storytelling element was a good diversion, cementing the surprise ending.

@dismalthoughts

Жыл бұрын

Yeah, honestly, if he'd just put it away after he was done rather than standing there talking for several minutes, I never would've noticed. It wasn't until just after Penn started speaking that I noticed the gimmick 😅

@blueckaym

Жыл бұрын

@@dismalthoughts , I didn't understand Penn's code lingo (as usual :)), but I saw a way to manipulate the outcome in each possible combination.

This is the first magic trick I actually could figure out without any explanation.

@rubbertoad3681

Жыл бұрын

Same here. This one was easy. Especially because he used the word Uakari. And the fact that the letters were clearly segmented.

The way Alison says “Oh! Papers!” Is very funny and I enjoyed it a lot

I'll never get over the complexity of magic. How everything is construction _just so_ so that all the pieces slide into place without us seeing all the work that goes on behind it all. I can't even conceive of how some of the props are put together, but it's really one of the most impressive things about the art; the engineering of innocuous-looking things. And it just occurred to me why the envelope has to be empty. That's damn clever, right there!

@nickhy9223

Жыл бұрын

I think I understand the whole trick, but why does the envelope need to be empty? So that he doesn't accidentally get it right? Oh lol, got it, because he doesn't assign a name to the paintings until after she puts them in order, right.

@EdwardHowton

Жыл бұрын

@@nickhy9223 Isn't it a great feeling when you don't understand something and then suddenly it just _clicks_ like that? But yes, with no envelope, there's no trick at all. It's a huge misdirect. It has to be empty so there can be a "big reveal" at all. It's wonderful theater!

@nexos2180

6 ай бұрын

😊😊😊😊

There are a few different guesses here, and they may be partly right or completely wrong, but the common thread seems to be that the trick can only work if you have a truly masterful performer. His confidence, storytelling and charisma really drive the trick. Great to look at also. The stuff with the paintings is clever but the real magic is watching a genius performer in his element. I've watched so much of this show and only the smallest handful of people have the performance skills to pull this off. I think he has an incredible career ahead

The more I understand the mechanism behind this mentalism, the more I’m amazed by how smooth it was carried out! Chapeau, monsieur.

This was clever. It's easy to understand the trick but it really reveals the importance of the set up and storytelling for this type of magic. What seems like just random waffling and jokes is basically the key to making the trick work.

One of the few tricks I was able to piece together, but one of the even fewer still that was *better* once i knew. Beautiful performance!

@Haigen64

25 күн бұрын

Waddup lmao didn't know you were a P&T fan :) love working out how its done cause it adds a new layer of respect for the work imo

Absolutely awesome performance. 🎉

Oh man, I thought it would be a real faliure, I felt so sorry for the guy, and by then he already fooled me. I can see how this can be done it is truely a masterpiece. I would love to learn the other outcomes of this.

@hemanghuria4956

Жыл бұрын

I taught this to him. Super easy to do once you master one thing

@sinner2499

3 ай бұрын

ok so say how did he get the letters right at the end​@@hemanghuria4956

@cinemaker321

3 ай бұрын

@@sinner2499 my guess: he has several alternate names for each image: alps, mountain, hills. Uakari, monkey, ape. NYC, apartment, house, etc. The wrong papers are carefully put together backstage for every combination. At 0:59 you can see that the easels are not quite right, there are long magnetic strips sticking out painted to look like wood. They slot into each picture and because every letter in HUMAN has two bars either side it's enough to change the middle (Penn mentioned "the middle")

Man!! I loved every bit of the performance.. It really deserved to win at least for the creativity of it.. Expecting equally beautiful creations from you in future, buddy.. You totally ROCK!!! 👏🏻👏🏻👏🏻

I would personally value Penn's opening compliments as much as an actual trophy

Penn & Teller have always been my favorites since they first started. I met them after one of their shows and they are both really great guys.

The humour is what got me, great performance!

this show is always entertaining and 'feel good' .......fooler or not I love watching it.

Much fun and entertaining! As previous comments suggest, it is also fun to ponder the possibilities. It is challenging, but not impossible for us mere mortals to figure out.

This is well thought out. Excellent planning went into this trick. Nice subtleties to each picture. Wasn't too difficult to crack, but was well done either way. I enjoyed this. That said, just because I can figure it out doesn't mean I can execute it, nor come up with it myself.

This is a really great act and knowing how it is done just make it more magical so I'm glad you've not deleted the explanations in the comments.

This is the only trick at P&T that I was able to figure out by myself. It made it even more enjoyable to watch. What an awesome act. Thank you, Yann!

Fantastic presentation! Well done.

Fantastic trick, wonderful presentation. Bravo sir!! 👏👏👏

Even knowing how it was done doesn't make this trick any less enjoyable. Well done!

you know what , that was awsome ... you really had me with your "fail" there .. imo i think it would be cool to see other "unexpected" things happen to "ruin\enhance" more performances .. its like 4th wall breaking... great job friend

@KarstenJohansson

Жыл бұрын

Derren Brown pretty much always makes a mistake here and there, and then camps it up. It disarms you before the big reveal.

Beautifully done!

Love this show!

Very impressive effect!!!

This is amazing, so clever!

Such a brilliant effect 😊👍😊👍😊

Nice that Alyson felt comfortable presenting in her pajamas ;)

Hahaha, "It's never technically worked before", what a clever guy!

Wonderful performance. This trick stays nice to watch again even when you know how it's done, perhaps bevause now you can enjoy it in a second way to marvel at how smooth it was done.

I'm obsessed with this trick and performance. Great work!

@yannyuro

4 ай бұрын

Thank you!

I really like the way the latters relate to the picture. Definitely sells the trick in a subtle way.

Do you see those vertical lines that divide each letter into thirds?? Each one of those letters, the first and the last third are exactly the same, so all he has to do is change the middle third of each letter of any arrangement of those 5 letters and he can spell out HUMAN. And the U and the H and the A are all nearly identical, very little needs to be changed about those 3. So when does he change the backs to spell out HUMAN? Hehehe, that's the best part. See he doesn't even really do it. Look at the easels when he turns around each picture... the BACKSIDE of that middle third panel is painted exactly the same as the easel! It's hiding in plain sight! Awesome. I'm so happy I noticed all that!

I have to say this trick was awesome but I was able to piece it all together and love it. Each picture could be named something differently to spell out Human. Then the real important part is that the stage hand had to bring the right combination of papers out after finding out what the names would be. Anyway the end of the trick was that the center of each letter was a magnet strip that was actually already on the stand when the trick started but it was colored to look like part of the stand and only needed to modify the center of each letter. Well done sir.

One of few tricks I figured out - but it was hella' entertaining! Darn good presentation!

Really nice spin on the chair prediction. Lots of praise by the Noble magi judges 😂 But it was indeed immediately what I thought too. And when I saw the letters I knew exactly that I was right. But awesome effect! But not as awesome as the patter, that really was funny and cleverly written. The joke of The Alps was simply magical!

Really bold! Wishing you the best!

Slide of hand! Very well done!

this is epic and poetry.

Masterpiece!

Very charming. And funny -- Penn and Teller really appreciate the humor in magic and they could tell this guy was one of them. Easy to figure out but it was clever and well executed.

I'm glad you didn't describe yourself as a "funny" magician. Your humor was just delightful and nicely in pace with the trick. Fooled me! A beautiful trick.

one of the best illusions ever omg!

This is beautiful act. Elements like staging, storytelling, comedy the method is all amazing. I think getting the first predication wrong downplayed the act in the minds of the audience. In the end when word "Human" is revealed there is no instant audible gasp or no thunderous round of applause. It looked like Yann is implying the spectators "the act is over, you can clap now". May be you get the paper prediction right somehow and then also get the word human will get you standing ovation. Well done on constructing this act !!!

@jsincoherency

11 ай бұрын

He could get the paper prediction right just as easily as he can get it wrong. Getting it wrong is important because it suggests that the "prediction" was made ahead of time, which reinforces the idea that the names of the paintings were selected ahead of time. It's really smart.

@Jsjsjjssjs

5 ай бұрын

What audience? There's no audience on this one because of covid

Excellent... 🏆

God I love this so much

Very cool trick. Congrats on the idea!

That's one of the most thrilling magic acts I've ever seen. Awesome!

@yannyuro

6 ай бұрын

Thank you so much!

Eine schöne unterhaltsame und spannende Vorführung! Ich mag den Aufsetzer und die Präsentation im Allgemeinen richtig gern. :) Danke fürs Teilen!

Each picture can be named five different ways using the letters H U M A N. The easels are pre-programmed to move the middle bar of each letter to correspond with the easel, such as easel 1 moves the middle bar to form the letter H, easel 2 moves the middle bar to form the letter U, etc.

@NotMyActualName_

5 ай бұрын

The easel is my best guess too, but I am not 100% convinced that's how the gimmick works on moving the letters. That would need to be done with motors and magnets. That could possibly be quite difficult to do reliably. It would be some impressive engineering.

@hydeandzeke

Ай бұрын

​@@NotMyActualName_There's an internal layer that slides. When you're placing it in position one, you slide the layer to position one.

@topster888

Ай бұрын

No, the easels already have the letters on them. Nothing has to move. If you notice, each letter has two columns in them, like a vertical equal sign. Each of the paintings has a slot running down the back of it, where they rest on the easel. The trick is that the center of each letter is already on the easel and connects to the back of the painting, probably with a magnet. So no matter what painting Allison chose to put first, that easel always had the "--" on it, which would turn the "| |" that's on the back of the painting into an H. If you look at the easels before he puts the paintings on them, you can see them on there painted to look like part of an empty easel.

Great trick! I understand the method, now I'm just stuck with the number 5 in my head all day and how to add that to many things in life. ;)

Magnets on the back of each picture to spell the right word. All of them just have straight bars on the back for letters so the magnet fills in the correct letter and then the story he uses makes the pictures the correct letter. Penn's description of the 'middle' of the trick is what gave it away. Also a neat affect for the 'fail' so the stage hand can hand him whatever the names of the pictures will be to make everything match. Still a fantastic trick!

@MsCartman74

Жыл бұрын

He's sort of stuck with a problem that can't be overcome in that the letters have to be visible to the entire audience therefore very large and noticeable similarities.

@agentm10

Жыл бұрын

How about the fact that "H" was initialized by helicopter, "U" by the monkey, "M" by magician, "A" by Alps, and "N" by that dirty city? Was that a coincidence?

@josepeixoto3384

Жыл бұрын

@@agentm10 No coincidence is possible,so, hmmm... ºº that complicates things a bit; well, ?does it mean that for each picture he has 5 different names, each one starting with one of the 5 letters H U M A N ( U -uakari? is also M- monkey and so on...), and when he places each pic on the stand,he names it according to H U M A N ? but i wonder what could the other names be.

@baadlyrics8705

Жыл бұрын

@@agentm10 what? No matter what picture would end up somewhere else, it would always still spell HUMAN (for example if the "alps" wouldnt be on 4 but on 3 he wouldnt say that the picture is alps, he would call that "mountains" so it matches with the M and so on.. the uamari can become a Monkey, or an Ape or whatever.. the helicopter one could be Military, Navy or whatever else it needs to be.. And the letters on the back would also spell Human because all the letters have permanent lines on the sides and only the middle part is moveable and probably magnetic to make every letter what it needs to be in just one move while he puts the picture on the stand.

@gblargg

Жыл бұрын

I had noticed the odd sections in the back element of the stands. When looking at the letters at the end trying to figure it out, I noticed that every letter in HUMAN has verticals on either side. The letters also have odd gaps between the segments that make them up.

this is an amazing trick because even after seeing the props from the angle that gives them away and after Penn explains enough to know what the real trick is I still can't figure out the sheer amount of effort that went into this trick, its like a trick inside another trick.

I could see the difference in layers on the paint for the lettering from the stage light glare, something less reflective could help blend the 'middle' with the 'end'. Such a fun presentation piece :D

Lol. You had me guessing till the code. Nicely done.

The very top of each of the pictures is interesting. Good catch by Penn.

This might be the first one I actually figured out while I was watching it!

That was very nice! and once you get the complex parts down and effortless, this must be a really fun trick to perform, especially with the fake readings.

HOW ITS DONE ALERT: This one us super easy to figure out. Notice that the letters on the back of each painting are segmented. There is some element in each painting that would correspond to each of the 5 letters so then it's just a matter of adjusting the letter on the back to make it match where she placed it. The papers coming out are a subtle trick to make you think the words for each painting were set in stone, they weren't. They just pulled the 5 out of the 25 that corresponded to where each photo was placed. The numbering on the pages also helped reinforce that false understanding that the word for each painting was going to be the same no matter where it's placed.

@scottsmith7203

Жыл бұрын

THAT'S NOT HOW IT'S DONE WHATSOEVER, GIRLFRIEND!!!!!

@TennesseeMule

Жыл бұрын

@Scott Smith k. Thanks sis.

@RobbieHatley

Жыл бұрын

@@scottsmith7203 : Oh, I think it is. If you disagree, then how do _you_ think it's done? (As far as _I_ can see, it's appears to be done with magnets, probably hidden in the otherwise-mysterious black strips to either side of the wooden uprights on the easels. Note the loud "click" and shudder each time he places a painting on an easel, except for #1, which is default "H"; I think that's the magnets pulling the _middle_ segment up, down, or sideways. Also note that he never allows anyone to see the backs of the paintings until they've been on easels; that's because, before adjustment, they spell "HHHHH", not "HUMAN".)

Even though you didn't fool them, you had me enjoying you from the beginning and fooled me.

Great trick. I love the "mistakes".

You can see the attached centrepieces on the H and the U at 4:32. The M that he's holding has no centrepiece, so each painting must have an M on the back, and easels 1, 2, 4 and 5 have the appropriate vertical centrepieces for H, U, A and N to attach over the middle of each M.

@sinner2499

3 ай бұрын

no one knows what u wrote

@gary.h.turner

3 ай бұрын

@@sinner2499 OK, if you need further explanation, each vertical centrepiece covers the two diagonal lines (v) at the top of the M, leaving only the two vertical bars (| |) on either side of the M. The four different centrepieces contain -, _, = and \, to turn the two vertical bars into H, U, A and N, respectively.

Have not seen the other comments but I think many of you have figured it out and I am really late to the game but the key is the "middle" (a word Penn say). The font is constructed in the way that only the middle part has to change to change the letter and thus is is some kind of sliding thing that he makes happen when he put it up on the holder.

Sehr schön 👍

eine wunderschöne Performance! :)

very good! love how it went from i f***ed up to got ya!!

I figured this one out on my own when he had the woopsie ending. I have had the fortune of watching Penn and Teller figure out enough other tricks of course. We are all a little more educated these days. lol Still a highly entertaining and fun trick even if you can figure it out... great presentation.

I figured it out as it was going on, and then when Penn explained it afterwards, I could actually understand the code. He doesn't just speak code in one part of the response, the ENTIRE RESPONSE is the code, deconstructing the trick without telling the audience how it's done. That's truly amazing, and I would love to do this one myself

That dentist joke deserved a much bigger laugh.

It's easy to figure out the trick. But it doesn't diminish the petformance, preparation and art work in it. A lot of thinking has gone into the artworks. Also memorizing 25 jokes to reinforce Alison choices. German masterpiece, where you are more enchanted by the process and preparation than the wow or spectacularization factor.

Trick is very easy to understand, but i think it is still very clever. Sometimes you don't need to fool P&T to be recognized by the community as a great magic trick' builder 😂. Keep going mate!

That was very cool

I can tell that Penn and Teller were not impressed by this trick.

Amazing trick.

Ambiguity can be a useful thing at times. Very creative. The off-stage fail works to head everyone's minds off in the wrong direction. Mental misdirection. Well done.

@philiphefner8917

Жыл бұрын

It’s the best part of the trick. 25 potential words everything could be called so the only way to get the right words in the envelope is the “fail”. If he figured out how to get the right words in the envelope without an obvious switch I bet it would have fooled them.

more in-depth, 0:43 zoom in on the pictures lead on the floor, and you can see the gap that is in the back of them all 0:59 zoom in on easel 3 you can see the back of the easel poking out the top of that middle panel 1:25 turn up the volume, listen for the click, 4:32 zoom in you can see the middle panels clearly on the M, H, and A, and 4:38

Yay, I figured it out before Penn gave his clues at the end. It was like I was the magician trying to pick up on his code words, and I did! That was fun to have that experience!

Handsome, handsome and handsome. This guy is my favorite magician. I agree: a truly masterpiece!

Crazy thing is, I just sat here and picked the numbers my self, and I picked exactly the same numbers as Alison did!

that was awesome, I wonder if it could be improved visually, because if I didnt see it, I wouldn't have guessed maybe if the seams were incorporated and made intentional, like wood slabs or something, I would never guess

First time I understood the code, which subsequently led me to understand how the trick was done. Very clever.

I'm almost always entertained by the acts on Fool Us, whether I know how they work or not. Not so much this time. That's OK by me. I still love Penn & Teller's Fool Us.

Looks thorough with a good amount of routines can't wait for beu to tell us more. Smilesotheylikeyou

**Spoiler** : H is the default of every picture. The virtical lines on all pictures do not move. The middle slot of each picture is on a scroll that moves in all directions. Each easel has a magnet to the North South East and West. Each easel pulls the scroll to the respective positions. 1. (H) default 2. pulls down the scroll moving the middle line of the to "H" making it (U). 3. Magnet pulls scroll left revealing the V making the (M). 4 pulls up moving the middle of the H up and revealing another horizontal line making (A). 5 pulls right revealing the diagonal line making (N).

@RobbieHatley

Жыл бұрын

That would be one way of doing it. But I don't think that's what he's doing. I'm guessing part of each easel comes off and _becomes_ part of each letter.

This was so funny. 😂

It's like the old lcd screens that can display all of the numbers using the same layout

2:21 I immediately thought of this. "I KNOW YOU, VORKUTA... YOU HAVE NO IDEA WHAT WE DID TO YOU."

What a cool trick. Yes, it didn't fool me, but really a nice idea!

Wow a trick I figured out almost immediately!

I believe the crux of the trick lies in the fact that any of those pictures could be described using each of of the 5 words.. Mountains, Metropolis, Monkey.. etc.. so the order Alison put them in wasn't an issues.. The papers being offstage however was brilliant reinforcement.. Loved it all round. Bravo!

@NotMyActualName_

5 ай бұрын

He's doing a bit of a psychological force to try to get the letters to be in this particular order though. It's somethign mentalists are very good at. But yes, I think as a backup he's got the option to swap the middle of the letters around so that any picture can spell any letter. This was the best case scenario because it's the first and most obvious letter for each and I don't think he had to do any fiddling to get the spelling right, they would have been pre-arranged in this order.

When Penn call it Monkey, I think you can create another letter or word from the beginning like instead of U that could be M for monkey! But it was an amazing trick!!!

One of few I figured out. But great and puzzling before the alternative solutions came to mind.