Megaminx online

Megaminx is like… extended F2L, so it's really just an extension of a 3x3. If you can solve a 3x3, you can pretty intuitively solve a megaminx. I do like the challenge of it and it takes me a little bit to solve, but it's not too crazy. I've never solved an S-x, but from the videos I've seen it seems to be pretty different from a 3x3 ...

In related news: a checkerboarded megaminx (corners solved, edges opposite their solved position) looks really cool, except it's impossible. It's possible to get to 2 edges switched, but swapping pairs of pairs, there are 30 edges on a megaminx, which unlike 12 on a cube, is not divisible by 4.Veja um tutorial completo e aprenda de vez como montar o megaminx👉 Siga a gente no Instagram : @ytcubo.oficial😉Me ajude a conseguir mais cubos e fazer tuto... Megaminx. This is a variant of the Rubik's cube, in the shape of a dodecahedron. It is a very logical progression from the cube to the dodecahedron, as can be seen from the fact that the mechanism is virtually the same, and that many people invented it simultaneously. To quote from Cubic Circular, Issue 3&4, (David Singmaster, Spring&Summer 1982): Beginner Megaminx Tutorial. To watch this video you need to be a free member. By becoming a free member you'll be able to learn strategies used by two-time Rubik's Cube World Champion Feliks Zemdegs. CREATE YOUR FREE ACCOUNT. Already have an account? Login now. An example solve with our beginner's method for solving the megaminx.My Megaminx https://speedcubeshop.com/products/gan-megaminx-magneticSpeedCubeShop http://bit.ly/2nW3qWgUsing the code "JPERM" supports my …unknown. Purpose (s): Speedsolving. Megaminx LL or Megaminx Last Layer refers to the Last Layer of the Megaminx, similar to the Last Layer on 3x3x3. The Last Layer is the last step for solving the Megaminx, usually preceded by Megaminx F2L and Megaminx S2L .Hey Guys! What's up! Hopefully, the tutorial was helpful for you guys! Make sure to leave the video with any comments and questions that may have been confus...

The Teraminx (7x7x7), is one of the Megaminx's higher-order variations. Similarly to the Megaminx, it is a face-turning dodecahedron-shaped twisty puzzle. The difference is the amount of "layers" each face has (3 instead of 1 in the Megaminx) resulting in no less than 372 center pieces, 20 corner pieces, and 150 edge pieces which together create an …Investors line up to purchase a company's newly offered stock, sending the price into the stratosphere. But often, a highly anticipated initial public offering can tank too. Advert...Welcome to the intermediate megaminx techniques section on CubeSkills. In this module I'll be showing some tips for the star, F2L, and S2L, and then outline three variations of solving the S2L. After that, I provide an introduction to the 4 look last layer algorithms for the megaminx, and then present those in the following videos. It is recommended that you have a decent understanding of ...Beginner Megaminx Tutorial. To watch this video you need to be a free member. By becoming a free member you'll be able to learn strategies used by two-time Rubik's Cube World Champion Feliks Zemdegs. CREATE YOUR FREE ACCOUNT. Already have an account? Login now. The next step in solving the megaminx is to solve the S2L …The internet of animals. Correction: An earlier version of this story incorrectly stated that IBM’s Watson would be used to analyse the data. IBM’s Internet of Things systems will ...

Beginner Megaminx Tutorial. To watch this video you need to be a free member. By becoming a free member you'll be able to learn strategies used by two-time Rubik's Cube World Champion Feliks Zemdegs. CREATE YOUR FREE ACCOUNT. Already have an account? Login now. In this video, I show you algorithms and processes for solving the …A Megaminx is a 3D puzzle with 12 sides or faces. Each side is in the shape of a Pentagon (5 sides and corners). In geometry this shape is called a Dodecahedron, but in the magic puzzle industry this is called a Megaminx. If you already know how to solve a 3x3 then you certainly can make a start on a Megaminx, it justMegaman X. This is the full SNES rom Megaman X. This game came out in the 90s and was the first Megaman game for the Super Nintendo. The plot is more hashed out as you start in a burnt out city instead of at the robot master select screen. There are still 8 robot masters to defeat but there are also upgrades to find hidden throughout the 8 ...PLL Parity Alg:Adjacent Edges - (R U R' U') (r U2 r' U r U2) r2' (U2 r U r' U2 r) (U R U' R' )Opposite Edges - (r U2 r' U r U2) r2' (U2 r U r' U2 r)Time Stam...If you don't know how to solve a 3x3, check that first at https://youtu.be/eFFB0e2nABk The cube being used is a YJ MGC Megaminx. You can get this puzzle at S...20 corner pieces and 30 edge pieces, resulting 1.01×10^68 of combinations. It takes at least 3.47s* for solving a 3×3 cube, meanwhile 27.81s* for solving a Megaminx. You will pour yourself in this variation of combinations. Solving a megaminx is More difficult and challenging. But it will reward you limitless happiness.

Gas prices reno nevada.

Hey! Ich zeige euch in dieser Anleitung, wie man den Megaminx Zauberwürfel mit einer sehr einfachen und verständlichen Methode ohne Algorithmen lösen und ler...That way I can internalize the algs I learn. Just grinding solves and hoping for the PLL you just learned doesn't really work on megaminx because most of the PLLs have a probability of 1/144 so I could do two hours of solves and not get the one I just learned a single time.Also when you were 'showing' or explaining a certain technique, you just did it at you normal solve speed (I guess) and at such a bad angle that it was impossible to follow. I for example would have been very interested in you insert moves for the f2l. However, I couldn't find out what you do since you're solving it too fast and the angle doesn ...DaYan Megaminx Pro M (Magnetic) Puzzle. Elevate your speedsolving experience with precision, speed, and an exclusive touch for a rewarding challenge! NEW 14% off. DaYan SKU: 1290062. (6) Price: ₹ 4,299 ₹ 4,999. Inclusive of all taxes. Stock:Nov 25, 2017 · Solve the Megaminx easily—no experience necessary! Because we start from the basics, this is a longer video, but it’s super repetitive and straightforward.Le...

Welcome to the intermediate megaminx techniques section on CubeSkills. In this module I'll be showing some tips for the star, F2L, and S2L, and then outline three variations of solving the S2L. After that, I provide an introduction to the 4 look last layer algorithms for the megaminx, and then present those in the following videos. It is recommended that you …Drift Megaminx M (Magnetic) Puzzle. Enhanced YJ YuHu Megaminx M | 12-sided puzzle with circular ridge design for comfortable grip. Suitable for Intermediate & Advanced skill levels. 3% off. Cubelelo SKU: 1290600. (280) Price: ₹ 1,209 ₹ 1,249. Inclusive of all taxes.Odder's Megaminx Guide Oscar Roth Andersen of http://www.youtube.com/user/Minxer2011 Arranged by Andy Klise of http://www.kungfoomanchu.com Orient EdgesThe Megaminx is a dodecahedron-shaped puzzle with 12 faces. It was made at about the same time as the original Rubik's Cube. The Megaminx may seem more difficult than the standard Rubik's Cube, but in fact it can be easier - due to the large number of sides, one turn will not disturb as many faces, and all but the final face can be solved with similar algorithm usage to the regular 3x3. A ...I unbox EVERY megaminx puzzle I could get my hands on (15 in total!), and with the help of my little kids, rank them in the world's first real life TIER LIST...RemoteBattlesPokemonGo - 1) The subreddit where you can add friends and coordinate remote raids across the world . Useful for trainers without a raid group , rural trainers , trainers who cannot use 3rd party apps like discord etc., 2) You can challenge fellow trainers for remote PvP battles .Megaminx PLL Trainer. Click on the picture to select / deselect the case. Click on the group header select / deselect all cases in the group. When you're ready, click Train or Recap button on the right to start practicing. All Cases (60) | selected: 0.Metodo per principianti, adatto per chi non sa da che parte rifarsi e vuole imparare dalle basi.7 Step in tutto.00:17 Requisiti00:56 Struttura del cubo02:33 ...The Megaminx is a dodecahedron-shaped puzzle similar to the Rubik's Cube. It consists of 12 faces, each with a unique color, and requires a different approach compared to its cube-shaped counterpart. While it may seem intimidating at first, with the right strategies and a little patience, you'll be able to unravel the secrets of the ...While commuting expenses are excluded specifically from allowable tax deductions by the Internal Revenue Service, the law does make an exception for commuting expenses from your fi...COVID has been spreading like wildfire in my area, so I decided to do some megaminx blindfolded to keep myself entertained while isolating. After two weeks o...Members online: Door and 0 hidden, as well as 2 guests and 0 web crawlers. Topics/posts: 37124/413197 ; Some recent posts: jumbling prism by Monk 5 hours ago. Re: Kornephoros1 - intersecting circles puzzle by ecuber 9 hours ago. Re: Pandora Hexagonal Dipyramid Cube by ecuber 9 hours ago.

Here are five patterns for the Megaminx and the Gigaminx. Since there are no algorithms for patterns on minx puzzles, this video teaches you how to solve the...

20 corner pieces and 30 edge pieces, resulting 1.01×10^68 of combinations. It takes at least 3.47s* for solving a 3×3 cube, meanwhile 27.81s* for solving a Megaminx. You will pour yourself in this variation of combinations. Solving a megaminx is More difficult and challenging. But it will reward you limitless happiness. Megaminx OLL combines EOLL and OCLL into one step that requires 260 new algorithms to be learned. Even among world class solvers, knowing full OLL isn't common. ELL. Unlike 3x3x3 ELL, Megaminx ELL refers to orienting and permuting the edges ignoring the corners (similar to LLEF). It only consists of 39 algorithms, although …BNY MELLON GLOBAL EQUITY INCOME FUND - CLASS I- Performance charts including intraday, historical charts and prices and keydata. Indices Commodities Currencies StocksIt's easier to learn how to solve it yourself than to follow a sequence of 100+ random-looking moves. Yeah, even with 3x3 beginner's method, you need to learn maybe one alg (L' U2 R U2' L U2 R' U2') to solve a megaminx. Actually you may not even need that one. Feb 23, 2021.The Megaminx is a puzzle in the shape of a dodecahedron that was first produced by Uwe Meffert, who has the rights to some of the patents. Each of the 12 sides consists of one pentagonal fixed center, five triangular edge pieces and five corner pieces. The corner and edge pieces are arranged in a five-pointed star pattern. A variant where the cuts are a little deeper, so that each face has a ...Megaminx. Have a look at the best megaminx cubes online! At MasterCubeStore we offer a broad selection of fun and exciting megaminx cubes. The megaminx cube is made from 12 faces consisting of 11 smaller pieces forming a so-called dodecahedron. Feel free to have a look at our colorful assortment of megaminx cubes. There are 53 products.It is highly recommended that you know how to solve a 3x3 before learning the Megaminx. This tutorial assumes you already know how to solve a 3x3. The Download link is available available after checkout is complete. Download link is also emailed to you. FREE online instructions are available here -> How to solve a Megaminx

Averhealth kokomo.

Atlanta airport tsa time.

The Rubik's Revenge (aka the Master Cube) has a 4x4x4 cube layout, making it harder to solve than the original Rubik's Cube. Aside from the 8 familiar corner pieces, this puzzle features twice as many edge pieces and 4 center pieces on each of its faces (compared to only 1 on the Rubik's Cube). This puzzle was released in 1982 and was actually ...1. Hold the cube in your hand having an unsolved yellow corner in the highlighted top-right-front position. 2. Repeat the algorithm until this piece is solved. 3. Turn the top layer to bring another unsolved piece in the highlighted position.Students will develop note-taking skills to help remember the algorithms, get to know the parts of the 3x3 Megaminx, and how the it moves. This course will start with a weekly ice-breaker, teacher-led instructions followed by a questions and answers session. The class will cover the importance of color, faces, how to hold the , and the ...In diesem Video zeige ich Euch wie man den Megaminx 3x3 lösen kann. Es ist ein bisschen anders als der Standard 3x3x3 Cube.Kauflinks:Megaminx Zauberwürfel: h...10 Pack Speed Cube 2x2x2 4x4x4 5x5x5 Pyramid Megaminx Skew Mirror Ivy Windmill Smooth Puzzle Cube Toy Libay Speed Cube set will offer adults and kids alike all the excitement and thrill of breath-taking cube puzzle game. Made of non-toxic ABS material and long lasting stickers, it is suitable for young kids'cognitive development, speed cubing beginners and puzzle enthusiasts of 3 years and up.Play with the 3D Rubik's Cube simulator online. Press the scramble button and try to figure out the solution and practice. Use your keyboard: the buttons on your keyboard are assigned to each face, according to the notation. Face: F R U B L D. Slice: M E S. Whole: X Y Z. Uppercase letters do clockwise, while lowercase keys make inverse rotations.Megaminx methods. Contrary to popular belief, the Megaminx is not substantially harder than a 3x3x3 to solve. The Megaminx can be solved up until the last face exactly like F2L on a normal Rubik's Cube. Generally, a solver will start with a "star" on one side, analogous to the cross on a Rubik's Cube. Then, corners and edges are paired and placed exactly like that of CFOP F2L until only the ...In 2019, liver Megaminx was released. The performance is the best of the Megaminx, definitely surpassed by the Chiyi Galaxy, and comparable to the Galaxy v2. As of January 2021, Galaxy v2(l)m, mgc, Wihoo v2m, Dayan v2, and liver Megaminx are evaluated as high performance. Among them, the most recommended cubes are Yuhu v2m and Dayan v2.0:00 Intro1:31 EO algs:L EO - F (U R U' R') F'Line EO - F (R U R' U') F'Dot EO - R' (F' U2' F) (F R' F' R) U2 R4:11 3 corner CO algs:R U R' U R U2' R'R' U' R...Read more here. Solve the Megaminx Last Layer in 4 steps. Step 1) [EO] Orient the Edges forming the Gray Star. Step 2) [CO] Orient the Corners to get all the Grays facing up. Step 3) [EP] Permute the Edges by positioning them in the correct location. Step 4) [CP] Permute the Corners by placing them in the correct location.PLL or Permutation of the Last Layer is the fourth and last step of the CFOP method, which aims to permute the pieces of the last layer to have the 3x3 fully solved.Our story began in 1970 when our founder Uwe Meffert, a German puzzle designer and inventor created his first puzzle, the Pyraminx. Through it was not until 1981, that he finally shared his invention with the world, to a roaring success, reaching over 100 million homes in just 3 years. T he Pyraminx became one of the most popular puzzles of its time. ….

The Kilominx is a dodecahedron-shaped twisty puzzle. It was invented in 2008 by David Litwin. The Kilominx is the 2x2x2 variation of the Megaminx, and as such, it is constructed of 20 corner pieces but without any edge pieces (similar to the Pocket Cube being a corner only Rubik's Cube ). In 2009, this puzzle was mass-produced by Meffert's ...Twisty Puzzle Scramble Generators. In this twisty puzzle scramble generator collection you can find online scramblers for the official WCA puzzles: Square-1, Rubik's Clock, Skewb, Megaminx, Pyraminx and NxNxN puzzles from the 2x2x2 to the 11x11x11, including the classic Rubik's Cube scrambler. The program can be used to generate random letters ...This Megaminx rotations basics video helps clear up the different rotations and notations given the direction and placement of the megaminx. -----...Megaminx. This is a variant of the Rubik's cube, in the shape of a dodecahedron. It is a very logical progression from the cube to the dodecahedron, as can be seen from the fact that the mechanism is virtually the same, and that many people invented it simultaneously. To quote from Cubic Circular, Issue 3&4, (David Singmaster, Spring&Summer 1982):The order you solve in is Edge orientation, Corner Orientation, Edge Permutation, and Corner Permutation. There are lots of resources for this step, the one I would recommend is from cubeskills by @Faz: 5. Getting under 1 minute is the barrier that a cuber wants to do for megaminx.12 faces. I assume it's like an even number cube, where you can't checkerboard every side. the only way it's possible to checkerboard is by swapping 2 edge pieces. You can't to that checkerboard pattern of all opposite faces onto each other without taking the minx apart. That pattern is legal on the Gigaminx though.Update: New and improved version. Faster, better, and supports more devices. Grubiks team is proud to present the best online Rubik’s Cube Solver! Used by millions around the world - this rubik’s cube solving website will show you how to solve any valid scramble with an easy to follow step-by-step solution.MEGAMINX / GIGAMINX. El Megaminx es un cubo rubik de 12 caras, es un cubo un poco más avanzado que se caracteriza por tener muchas caras y se puede encontrar de diferentes formas: 2x2, 3x3, 4x4, 5x5 y podrás comprar marcas como ShengShou, MoYu y QiYI. Ordenar por.Pyraminx (3x3x3) The Pyraminx is a regular tetrahedron shaped twisty puzzle. It was invented by Uwe Mèffert in 1970 however production of this toy only started in 1981. This puzzle has 4 axis around which moves can be preformed (comparing to 3 axis in a Rubik's Cube ), and it is comprised of 10 tetrahedral parts and 4 octahedral parts. Megaminx online, The instructions explains how to solve the Megaminx Layer by Layer with the same method as our published 3x3 instructions. It is highly recommended that you know how to solve a 3x3 before learning the Megaminx. This tutorial assumes you already know how to solve a 3x3. How to solve a Megaminx., HELLOCUBE Yuxin Gigaminx Stickerless 5X5 Speed Cube Megaminx Magic 12 Sided Cube Puzzle Toy . Visit the HELLOCUBE Store. 4.8 4.8 out of 5 stars 13 ratings. $32.99 $ 32. 99. FREE Returns . Return this item for free. Free returns are available for the shipping address you chose. You can return the item for any reason in new and unused condition ..., Students will develop note-taking skills to help remember the algorithms, get to know the parts of the 3x3 Megaminx, and how the it moves. This course will start with a weekly ice-breaker, teacher-led instructions followed by a questions and answers session. The class will cover the importance of color, faces, how to hold the , and the ..., In diesem Video zeige ich Euch wie man den Megaminx 3x3 lösen kann. Es ist ein bisschen anders als der Standard 3x3x3 Cube.Kauflinks:Megaminx Zauberwürfel: h..., I just finished solving a 31x31 megaminx, which is the largest ever solved. r/Cubers. r/Cubers. For people who love any sort of twisty puzzles, including but not limited to: Rubik's Cubes (and any size/design variants), the Square 1, the …, Templates - https://docs.google.com/document/d/e/2PACX-1vQAjKn1Y_3lpnd7Dhs8CKxGHXDeSFx6NlAOioKJa3_qksXFKNh5vvab8r5yioWgCLJNPfxkXBrirz1_/pubSong: Cold Summer ..., ShengShou Zettaminx 13x13 Megaminx is the first mass produced 13x13 Megaminx. It's currently the record holder for the biggest mass produced Megaminx in the world! This gigantic cube has an impressive internal mechanic, and the quality is in top, which is a well known trait for mega cubes from ShengShou. The rotation is nice and easy, and the cube comes with stickerless bright pieces in ..., Welcome to the intermediate megaminx techniques section on CubeSkills. In this module I'll be showing some tips for the star, F2L, and S2L, and then outline three variations of solving the S2L. After that, I provide an introduction to the 4 look last layer algorithms for the megaminx, and then present those in the following videos. It is recommended that you have a decent understanding of ..., A Megaminx is a 3D puzzle with 12 sides or faces. Each side is in the shape of a Pentagon (5 sides and corners). In geometry this shape is called a Dodecahedron, but in the magic puzzle industry this is called a Megaminx.. If you already know how to solve a 3x3 then you certainly can make a start on a Megaminx, it just takes longer as there are more pieces to put in place., For this puzzle a megaminx was truncated on all corners and edges. The result is a shape very similar (but not precise) to a rhombicosidodecahedron, which is an archimedean solid. The stickering make this puzzle equivalent to the Icosahedron Megaminx which was invented by the same author. Although the name Megaminx ball leads one to the shape ..., Use this set of algorithms to permutate the Last Layer of the Megaminx in two steps. Most Megaminx solutions permute the last layer edges first, and then the corners. The reason is that the corners are easier to move individually, because a corner is the intersection of three turnable faces. Megaminx Notation., My Megaminx https://speedcubeshop.com/products/gan-megaminx-magneticSpeedCubeShop http://bit.ly/2nW3qWgUsing the code "JPERM" supports my channel and als..., Face/corner-turning. Halpern-Meier Pyramid. Pyraminx (no tips) Pyraminx. Pyramiddle. Master Pyraminx., A megaMinx online simulator and megaminx online solver. , Here's the tutorial on how to take apart the megaminx.http://www.youtube.com/watch?v=CtcOKpk0IAM, In diesem Video zeige ich Euch wie man den Megaminx 3x3 lösen kann. Es ist ein bisschen anders als der Standard 3x3x3 Cube.Kauflinks:Megaminx Zauberwürfel: h..., Rubik's Cube-like puzzles solving software. This software is able to show you how to solve several types of Rubik's Cube-like puzzles. It is available in English and in French. It can show you how to solve Rubik' cubes of different sizes (3*3*3 cube, junior cube 2*2*2, master cube 4*4*4, professor cube 5*5*5...), pyraminx of several sizes (3*3 ..., Megaminx Speed Cube 3x3x3 by 3 Megaminx Magic Speed Cube 3x3X3 Dodecahedron Cube Puzzle Vivid Color Magic Cube Fast and Sturdy Cube Puzzle Toys. 4.6 out of 5 stars. 44. $8.99 $ 8. 99. Typical: $9.69 $9.69. FREE delivery Fri, Mar 8 on $35 of items shipped by Amazon. Ages: 13 years and up., Aplicacion Para Resolver Megaminx en el canal tengo otras aplaciones que resolver otros tipo de cubos..., Megaminx is like… extended F2L, so it's really just an extension of a 3x3. If you can solve a 3x3, you can pretty intuitively solve a megaminx. I do like the challenge of it and it takes me a little bit to solve, but it's not too crazy. I've never solved an S-x, but from the videos I've seen it seems to be pretty different from a 3x3 ..., 20 corner pieces and 30 edge pieces, resulting 1.01×10^68 of combinations. It takes at least 3.47s* for solving a 3×3 cube, meanwhile 27.81s* for solving a Megaminx. You will pour yourself in this variation of combinations. Solving a megaminx is More difficult and challenging. But it will reward you limitless happiness., Hey! Ich zeige euch in dieser Anleitung, wie man den Megaminx Zauberwürfel mit einer sehr einfachen und verständlichen Methode ohne Algorithmen lösen und ler..., It is highly recommended that you know how to solve a 3x3 before learning the Megaminx. This tutorial assumes you already know how to solve a 3x3. The Download link is available available after checkout is complete. Download link is also emailed to you. FREE online instructions are available here -> How to solve a Megaminx, Play with the 3D Rubik's Cube simulator online. Press the scramble button and try to figure out the solution and practice. Use your keyboard: the buttons on your keyboard are assigned to each face, according to the notation. Face: F R U B L D. Slice: M E S. Whole: X Y Z. Uppercase letters do clockwise, while lowercase keys make inverse rotations. , As far as I know, most algs are generated using command line software like ksolve, with a limited moveset. With 12 faces, there are 48 possible moves at any point (as opposed to 18 for a 3x3 cube), which makes optimally solving full megaminx states somewhat difficult. There's also the fact that there are 50 pieces rather than 20, and that ..., Megaminx — Orientation of the Corners of the Last Layer. These are the OCLL cases for a megaminx. The algs are from Erik's site and this site . Speedcuber Sarah Strong's collection of Rubik's Cube algorithms., At first glance, you might be tempted to think that the Dodecahedron 2x2x2 is a part of the Megaminx family. However, this puzzle is actually a modified Rubik's Pocket Cube and works in the exact same way.It was invented by Anthony Greenhill in 1998 and the first models of it were simply Rubik's Pocket Cubes with plastic extensions glued to each of their parts., Twisty Puzzle Scramble Generators. In this twisty puzzle scramble generator collection you can find online scramblers for the official WCA puzzles: Square-1, Rubik's Clock, Skewb, Megaminx, Pyraminx and NxNxN puzzles from the 2x2x2 to the 11x11x11, including the classic Rubik's Cube scrambler. The program can be used to generate random letters ..., In this video, I explain why megaminx isn't like 3x3 and how my solving style is very different for the two events.TUTORIAL:J Perm: https://www.youtube.com/w..., Learn the easiest way to solve a megaminx. Follow me in Instagram @hands_on_hobbiesLink for the previous video(learn how to solve 3x3x3 Rubik's cube) -----..., Also when you were 'showing' or explaining a certain technique, you just did it at you normal solve speed (I guess) and at such a bad angle that it was impossible to follow. I for example would have been very interested in you insert moves for the f2l. However, I couldn't find out what you do since you're solving it too fast and the angle doesn ..., I show my collection of Minx+ puzzle from the megaminx, gigaminx, Teraminx, Examinx, and Zettaminx., Online Rubik's Cube, 4x4x4 and other NxNxN cube solver and simulator. Set up a scramble to find the rotations leading to the solution