Follow rNFTcommunity Twitter to get featured!. However, be careful! Finally, we will talk about the relation between permutation and combination. Before we begin, lets look at what an NFT is. 1. We may benefit lots from it all. Join our mailing list to stay tuned with the latest news, articles, and resources in the blockchain space. Once you click on the link go to the Code button, and select Download ZIP. The math is easy and you can focus on . Each layer . Create your different layers as folders in the 'layers' directory, and add all the layer assets in these directories. Collectors also discuss that rarity checking tools provides a rarity reference for NFT players, so that everyone can have a more comprehensive understanding of the collections, and provide a fast channel for collectors who like to pursue rarity, but It cannot be used as investment advice. = 15 Possible Prize Combinations, The 15 potential combinations are {1,2}, {1,3}, {1,4}, {1,5}, {1,6}, {2,3}, {2,4}, {2,5}, {2,6}, {3,4}, {3,5}, {3,6}, {4,5}, {4,6}, {5,6}. On the other hand, if you have to select all the elements, there is only one way to do it. NFTSniff is a handy NFT Rarity tracker that mainly works closely with the community on a discord server. save-config: saves all entered values to a config.json file, which gets used in future runs. It also gives information about upcoming NFT projects, data, and statistics about top NFT projects and the best NFTs in the market. For this calculator, the order of the items chosen in the subset does not matter. And how many different combinations are there? $$. Note: 10 ^ 4 is equivalent to 10 x 10 x 10 x 10. NFTs have been ranked in many different ways by now. For meats, where the number of objects n = 5 and the number of choices r = 3, we can calculate either / (r! This is a 'combination with repetition' problem. The most common way, whichrarity.toolsapplies it, is using trait score: And then comes the rarity score for an NFT: NFTs rarity score = Trait score of that NFT. 5 x 5 x 3 x 10 x 10 x 10 = 75,000 NFTs. NFT art generator to make 10k NFT collection for free and no code needed to create NFTs, smart contract and minting page supports solana, polygon and ethereum. Well, using TheCombinations: The number of NFTs= (The number of each layers variations). How many NFT layers and traits do you need to create 10000 items? However, sometimes artists take advantage of math too in order to create more elegant art. You'll find here a combination definition together with the combination formula (with and without repetitions). Note: 10 ^ 4 is equivalent to 10 x 10 x 10 x 10. Open Adobe Illustrator. It distinguished the newest NFTs very quickly and shows detailed statistics on their rarity. Similar to Rarity Tools, you can find NFTs based on their rarity in each collection. NFT Marketing Guide: The best ways to promote your NFT project, Creating a cool NFT project is only one half of the battle, once you have figured out the artwork and the utility, your launch and marketing are going to be the keys for success, The best ways to promote your NFT project. Where, n is the total number in the dataset. However, be aware that 792 different combinations are already quite a lot to show. Step 4: Creating the First Piece. A group of 3 would make a total of 3(3-1) = 3 * 2 = 6. We can also solve this Handshake Problem as a combinations problem as C(n,2). But, in a Puppy NFT Collection this won't be a problem, because puppies can have multiple variations in their fur. How to calculate the combinations, then? However, in literature, we often generalize this concept, and we resign from the requirement of using all the elements in a given set. Rarity should not be the sole criteria when buying NFTs. The tool also includes various filters for NFT sorting. Take the famousCrypto punkscollection as an example. Others, like SuperRare, charge more. Similarly to layer rarity, you can configure certain attributes to be more rare than others. I also invite you to visit my website Have you considered promoting your blog? By rejecting non-essential cookies, Reddit may still use certain cookies to ensure the proper functionality of our platform. . Benefits Calculator. If you repeat drawing, e.g., one hundred times, you'll be much closer to 7575%75. DappRadar also offers some informtion on NFTs and can be the indicator for their rarity rate. Free to start, with powerful pro features and a neat management dashboard. The formula to determine the number of possible combinations is as follows: $$ C (n,r) = \frac {n!} {r! Our ncr calculator uses this formula for the accurate & speedy calculations of all the elements of . It's an example in which you have four balls of various colors, and you choose three of them. You pick five balls at random. In the case of digital assets, rarity tools help to track the number of items produced and ensure that the items are available in very limited supply on marketplaces such as OpenSea, Raribles, Foundation, etc. Check your inbox or spam folder to confirm your subscription. The x-axis of the graph represents your NFTs (Assets), whereas the y-axis of the graph represents their corresponding rarity scores. It is totally suitable for all investors since it tracks the movements of all NFTs based on smart contract technology. To express probability, we usually use the percent sign. The most important reason for collecting NFT should be that you like it, not how much money it can make. Here is another popular tool to find the rarity of NFTs. However, the experts has recently come up with a solution, tools to calculate rarity of an NFT. the mouth layer has variations of cigarette, medical mask, or smile. No coding required. There is also an alternative way to pick a selection of 3 balls. There is the law of large numbers that describes the result of performing the same experiment a large number of times. . From the picture above, you can see that there are twenty combinations in total and red ball is in ten of them, so: Is that a surprise for you? NFT Stats is a platform that aggregates news and data on different NFT marketplaces. Have you ever wondered what your chances are of winning the main prize in a lottery? Therefore, I share with you 4 calculations that will help you improve Your NFT art: We see hundreds of NFT Collections show up every day. We will start the process by creating the first piece of our collection with 1 layer of all possible traits it can have. For example, if you have 2 layers with 5 traits each then you do, 5 x 5 = 25. Nft trait calculator-allowance Although, top NFT projects right now all have that number of items. It will list all possible combinations, too! r is the number you select from this dataset & n C r is the number of combinations. She loves Cryptocurrencies, Arts an also NFTs. However, the problem with this method is that much weight is put on the overall rarity of every trait, so that the single super rare trait is not valued enough and the rarity value gets too diluted by the other traits. Now replacements are allowed, customers can choose any item more than once when they select their portions. Me & my neighbour were preparing to do some research about that. Rarity score is a simple but reliable way to calculated how rare an NFT is. (n - r)! )} We hear many people talking about NFTs future and about how much money they made selling NFTs. You can also keep an eye on NFTs on the Ethereum, Polygon, and Klaytn blockchains. 2020 - 2023 NFT News Pro, All rights reserved. If you already have a permutation and want to turn it into a combination, you need to remove order, i.e., regard all possible reorderings as the same object. nft layer combination calculator. This equation means that if you want to get the number of NFTs in the collection, take the number of variations of each layer and multiply them together. Unlike math, we all know that measuring an artwork is subjective. This is more related to geometry than real calculation. However, it is important to know that they are on a small list of companies that show the situation on the Polygon blockchain. Basically, it shows how many different possible subsets can be made from the larger set. No more coding required. Please contact the moderators of this subreddit if you have any questions or concerns. The number of combinations is always smaller than the number of permutations. / (n - r)! Though, it took me a lot of time and effort to configure these calculations manually. You probably guess that both formulas will get much complicated. the hair layer has variations of wild hair, a cap, or no hair. If there are no special batches being created and the layers are on a free-for-all combination plan: you will only . Let's see how complicated it might be. Each person registers 2 handshakes with the other 2 people in the group; 3 * 2. You can use the following combination formula that will allow you to determine the number of combinations in no time: The exclamation mark !!! To calculate the RGB and Opacity values for the Rosy Cheeks Semi-Transparent Layer, the following formula was used for each of the 3 RGB values, for each of the 5 Skin Tones, and for each of the 2 . This is a list of arrays that hold the layer combinations you want to use for the NFTs. Often, the NFT with the highest score is the rarest one. Developer iblamenfts who uses the alias Sam Witwicky, the name of Shia LaBeouf . People who want to show off their digital assets on a particular platform sure invest higher in the rare items. Easy-to-use, AI NFT generator supports images, gifs, etc. Rarity is a key factor to determine the value of an NFT. OpenSea, the largest NFT marketplace, charges 2.5% per transaction. The NFT generation code on GitHub. Thoughtful features to help with every aspect of your drop. It can generate your 10,000 NFTs with an accurate calculation of layers and traits rarities. It is essential to do your own research and understand the market well before making a purchase. 5. Let's check this combination property with our example. If you are creating a Panda NFT Collection, you cant really make their fur in multiple colors. These rules result in the creation of NFTs that are much more valuable since a fewer number of users can take advantages of such attributes. forms: { 2006 - 2023 CalculatorSoup [2], Also referred to as r-combination or "n choose r" or the Does order matter (permutations) or not (combinations)? Essential No-Code Toolkit for NFT Founders. \), \( C(n,2) = \dfrac{n! Weight traits for different rarities. \), \( = \dfrac{1\times2\times3\times(n-2)\times(n-1)\times(n)}{( 2\times1\times(1\times2\times3\times(n-2)) )} \), \( = \dfrac{(n-1)\times(n)}{2} = \dfrac{n(n-1)}{2} \), combinations replacement or multichoose problem, https://www.calculatorsoup.com/calculators/discretemathematics/combinations.php, 0 to 3 toppings from 3 options; we must calculate each possible number of choices from 0 to 3 and get C(3,0) + C(3,1) + C(3,2) + C(3,3) = 8. However, if you choose r=12r = 12r=12 elements, there'll be only 111 possible combination that includes every ball. How to turn your artwork into a custom NFT? In fact, in the case of permutation, the equation gets even more straightforward. Save my name, email, and website in this browser for the next time I comment. It is simply a calculator that includes some of the most common elements of an NFT collection, to help collectors DYOR. There are six permutations of this set (the order of letters determines the order of the selected balls): RBG, RGB, BRG, BGR, GRB, GBR, and the combination definition says that there is only one combination! Therefore, we can change the question to How many traits do you need for every layer to generate 10,000 NFTs? combinations replacement or multichoose problem using the combinations with replacements equation: CR(n,r) = C(n+r-1, r) = (n+r-1)! The order in which you choose the elements is not essential as opposed to the permutation (you can find an extensive explanation of that problem in the permutation and combination section). The following equation can calculate a traits rarity, Traits rarity = (The number of NFTs with that trait / Total Number of NFTs) * 100. In the example with the colorful balls, you take one ball from the bag, remember which one you drew, and put it back to the bag. Your email address will not be published. Non-fungible tokens (NFTs) have become extremely popular, surpassing expectations in the last few months, with total market valuation reaching close to $50 billion in the past year.A NFT is a unique digital asset that represents ownership of real-world items like art, video clips, music, and more. And this is the type of distribution you want to achieve with your rarity settings. After you've entered the required information, the nCr calculator automatically generates the number of Combinations and the Combinations with Repetitions. Tip: Optional Layers If you want a layer to be optional, add a "90-none.png" a transparent PNG with same size as the other layers 2000x2000px (for example). Fair, simple pricing with no per-export fees. Without further talk, lets dive into the 3 steps you need to determine your layers and traits number. Or while cleaning the house? }{( r! Again, you pick five balls at random, but this time, the order is important - it does matter whether you pick the red ball as first or third. If the word is "WITNESS", we have "S" appearing twice, so we divide, If the word is "SOMEONE", we have "O" and "E" appearing twice, so we divide, If the word is "UNKNOWN", we have "N" thrice, so we divide. A 100% layer rarity mean every NFT in the collection has at least one of the variations, while a 0% layer's rarity means that none of . In combinations the order does not matter, so we select a group of items from a larger collection. This time, it is six times smaller (if you multiply 84 by 3!=63! different handshakes are possible we must divide by 2 to get the correct answer. With the current combination of 4 layers with its traits you can create 10,000 unique NFTs.If. Adjust and manage the rarity for each of your traits and attributes. Thank you for your submission on r/NFT, join us on Discord for LIVE discussion on everything NFTs, and to share & buy/sell your NFTs!. Believe it or not NFTs are more than just having a unique Twitter avatar with the price tag of a Rolex. In a group of n people, how many different handshakes are possible? The Combinations Calculator will find the number of possible combinations that can be obtained by taking a sample of items from a larger set. Developers launched Etherscan not only as a block browser but also as a token tracker for all Ethereum-based assets and ERC-721 token contracts. add it to SEO Directory right now http://www.links.m106.com. Im incredibly glad to see these information and facts which I was searching for a lengthy time. This combination will also allow you to have 10,000 NFTs. Discover how founders like you are using NFT-Inator, and learn more about the NFT ecosystem with our tips. Check the result with our nCr calculator! NFT stands for Non-Fungible Token, meaning that each token has unique properties, just like each baseball card or action figure you have in your collection does. nft layer combination calculatoreggplant and onion recipes. )= 3,060 Possible Answers. One of the most common points people question in the discords of collectible NFT projects is the rarity of a non-fungible token. The formula show us the number of ways a sample of r elements can be obtained from a larger set of n distinguishable objects where order does not matter and repetitions are not allowed. Rarity factors are the most powerful things you can add to your NFT collection. We make no warranties of any kind in relation to our content. Some tools are developed to provide an easy to understand and sensible ranking of the rarity of individual collectible NFTs. If you were to sell them at 2 ETH each, you could make 20,000 ETH selling whe whole NFT Collection. I made basic layers & traits calculator to help you determine how many layers and traits you need for your NFT project. We set up the rules (and we're fully prepared to change them! So How many NFTs you can generate using these variations? For other solutions, simply use the nCr calculator above. No coding required. Generate NFTs with combinations of various types of properties. So, Every NFT in the collection comprises the same layers but in different variations. In simple terms these cryptographic assets are based on blockchain technology. But that makes the calculation more complex than before. Update artwork or add new traits on the fly. You can also check out our NFT Generator software that helps you generate 10,000 NFTs in minutes. Recent news in the NFT world suggests that many celebrities are investing in the NFT world by producing their own NFTs or Metaverse activities, such as concerts and galleries. (sample) = 2, the number of people involved in each different handshake. Join r/NFT Discord [70,000 members] . }{( r! In calculating the rarity of an NFT, the website uses what it calls the Jaccard Distance. https://www.calculatorsoup.com - Online Calculators. It may take even a couple of seconds to find such long terms for our combination generator. Plus, of course, there are bragging rights that you own the . The expression for this is simple, its 5 x 5 x 5 x 5 = 625 possible combinations. Bueno takes away the complexity of coding and provides an easy-to-use interface to generate your NFTs so that you can focus on what matters most: the art and community. Lets learn the most important factors. That means the rarity score for an NFT is equal to the sum of all its trait scores. Let's say you want to know the chances (probability) that there'll be a red ball among them. This was only a sign of bigger things to come for this NFT collection. The next level of rarity that you should include in your NFT project is one-of-one and legendary traits. CRC Standard Mathematical Tables and Formulae, 31st Edition New York, NY: CRC Press, p.206, 2003. what happened? } We calculate the rarity for a single item in each layer within the collection. In permutation the order matters, so we arrange items in sequential order. } Blockchain-based technology . Generate Images of an infinite amount of traits. Watch how the creators of NFT-Inator design, generate, and deploy a complete PFP collection. ), This will make any NFT that has white hair more valuable than the rest. Then add the asset id (number). Mathematicians provide the exact solution for many various problems, e.g., how to calculate square footage or how to calculate volume. This tool is mostly used to check the rarity of Solana NFTs, a blockchain which is devoted to gaming NFT items. Is there a similar approach to estimating the number of combinations in the above example with balls? The order of the items chosen in the subset does not matter so for a group of 3 it will count 1 with 2, 1 with 3, and 2 with 3 but ignore 2 with 1, 3 with 1, and 3 with 2 because these last 3 are duplicates of the first 3 respectively. You'll find out how big (or small) those numbers are, in fact. Create your layers, import your traits, click Generate and you are done! 1 LAYER to NFT Converter | Convert UniLayer to APENFT. Enable in seconds, without leaving the app. event : evt, Then, draw the layer in multiple . Generate your NFT art with our NFT Generator. Meanwhile, a growing new marketplace, LooksRare, is charging 2% per transaction. Im extremely impressed with your writing skills as well as with the layout on your blog. Another way to think about it, rather than comparing it to existing digital assets, is comparing it to real-world objects like houses or cars. Mint tokens with a credit or debit card, powered by our friends at Winter. NFTs use the same blockchain technology that powers crypto assets. For example, say I have 4 layers, with 5 traits in each layer. All the information regarding NFTs, such as the floor price, sales volumes, and average price, are also available on the leaderboard in Icy. 10. A linear combination is the result of taking a set of terms and multiplying each term by a constant and adding the results. It arises from the fact that every three cards you choose can be rearranged in six different ways, just like in the previous example with three color balls. By definition, a permutation is the act of rearrangement of all the members of a set into some sequence or order. Create your layers, import your assets, click Generate and you are done! The NFT Art Generator creates your NFT collection and stores it on blockchains like Ethereum or Solana. This website is using a security service to protect itself from online attacks. In order to make 10,000 NFTs, you need to create multiple layers. You can name the assets anything as long as it has a rarity weight attached in the file name like so: example element#70.png.You can optionally change the delimiter # to anything you would like to use in the variable rarityDelimiter in the src/config.js file. 3.16 shows a scheme of a typical hydroponic cultivation system, which is often referred to as an NFT (nutrient film technique) or DFT (deep flow technique) system (Lu and Shimamura, 2016).In Type 1, the nutrient solution stored in a nutrient solution tank is pumped up and supplied from one end of the cultivation bed and then flows down slowly to the opposite side of the . Do you want to create your own NFT Collection but don't know how many layers and traits you need?Don't worry! The total Rarity Score for an NFT is then the sum of the Rarity Score of all of its trait values. This is a classic math problem and asks something like This article will start with the easiest way to build an NFT and then further elaborate on additional layer 1 feature combinations that can be used to create more complex tokens. binomial coefficient. One of the slickest no-code NFT creation tools currently available. Keep in mind that it if free to use the tool, however NFT projects have to pay 2 ETH to get listed on the platform. Example: the main background layer, body and few traits. NFT-Inator is powered by Diamond Hands Hotel, a Web3 design and development agency. That's what makes permutation and combination so similar. Free to get started. Usage nft-generate [--save-config] Options. Each collection most important reason for collecting NFT should be that you own the each registers... Closer to 7575 % 75 item in each collection helps you generate 10,000 NFTs layer rarity, you can solve... Of Shia LaBeouf: saves all entered values to a config.json file, which gets in... Of arrays that hold the layer in multiple now replacements are allowed, customers choose. Combination is the result of taking a sample of items the order matters, so we arrange items sequential. You choose r=12r = 12r=12 elements, there is also an alternative way to it! To make 10,000 NFTs in minutes or smile are allowed, customers can choose any item more than just a! The larger set 75,000 NFTs set into some sequence or order different combinations are already quite a of. Express probability, we usually use the ncr calculator above were to sell at. Can have traits in each layer within the collection calculator, the website uses what it calls the Distance... That describes the result of performing the same blockchain technology that powers crypto assets long! A selection of 3 ( 3-1 ) = 2, the website uses what it calls the nft layer combination calculator! Small list of companies that show the situation on the Polygon blockchain )... 2003. what happened? & amp ; n C r is the law large... Check this combination property with our example n people, how many layers and traits you can keep. How rare an NFT create more elegant art its trait values traits on link. Gets even more straightforward many different ways by now probability, we also. A sign of bigger things to come for this NFT collection and stores it on blockchains like Ethereum Solana! The result of taking a sample of items from a larger set most things! New traits on the Polygon blockchain created and the best NFTs in minutes formulas get... With powerful pro features and a neat management dashboard, to help you determine how many NFTs you can solve. Your NFTs ( assets ), whereas the y-axis of the graph represents their corresponding rarity.... N,2 ) = \dfrac { n Ethereum, Polygon, and deploy a complete PFP collection: will! Opensea, the NFT ecosystem with our tips lengthy time makes the calculation more complex before... Math, we usually use the percent sign Polygon, and statistics about top NFT projects the. For the next time I comment im incredibly glad to see these and! Calculations manually we set up the rules ( and we & # x27 re! Ever wondered what your chances are of winning the main background layer, body and few traits higher in rare! The case of permutation, the equation gets even more straightforward still use certain cookies to the! 'S check this combination will also allow you to visit my website have you wondered. Say I have 4 layers with its traits you can add to your NFT project is one-of-one and traits! That 's what makes permutation and combination lets dive into the 3 you. Artwork or add new traits on the Ethereum, Polygon, and Klaytn.... That hold the layer combinations you want to show handshakes are possible have 2 layers with its traits can..., this will make any NFT that has white hair more valuable than the number you select this. I comment find out how big ( or small ) those numbers are, in fact in! Detailed statistics on their rarity combinations Problem as C ( n,2 ) = 2, the gets! You own the are already quite a lot of time and effort to configure these calculations manually stay with. Accurate & amp ; n C r is the type of distribution you want use. Movements of all possible traits it can generate your 10,000 NFTs with combinations of various types of properties unlike,. Service to protect itself from online attacks easy to understand and sensible ranking the. The results of permutation, the name of Shia LaBeouf and facts which was! Is subjective file, which gets used in future runs a single item in each different Handshake made! Easy-To-Use, AI NFT generator software that helps you generate 10,000 NFTs includes of... Crypto assets, so we select a group of 3 ( 3-1 ) = 3 2... Hair more valuable than the rest probability, we will talk about the NFT ecosystem with our example the blockchain... Of cigarette, medical mask, or smile the relation between permutation and combination similar. Research and understand the market what makes permutation and combination to turn your artwork into a custom?... You ever wondered what your chances are of winning the main background layer, body and few traits information. Collectible NFTs shows how many different handshakes nft layer combination calculator possible the rules ( and we #. Unilayer to APENFT also allow you to visit my website have you ever wondered your! = 12r=12 elements, there is only one way to calculated how rare an NFT is then the sum the! Rules ( and we & # x27 ; re fully prepared to change them of terms and each... Token tracker for all Ethereum-based assets and ERC-721 token contracts is the number of combinations is smaller... C r is the number of times but also as a combinations Problem as C ( )... Sign of bigger things to come for this is simple, its 5 x 5 = 25 generator. Can choose any item more than once when they select their portions the group ; *... Then you do, 5 x 5 = 625 possible combinations that can be the indicator for rarity! From this dataset & amp ; n C r is the result of taking a of! Save-Config: saves all entered values to a config.json file, which gets used in future.. Nft with the latest news, articles, and statistics about top NFT is! Meanwhile, a permutation is the rarest one things to come for this calculator, the website what!, this will make any NFT that has white hair more valuable than rest! ( and we & # x27 ; re fully prepared to change them a group of 3 would a. These information and facts which I was searching for a lengthy time the percent sign various types properties... Using these variations bigger things to come for this NFT collection, help. Which you have any questions or concerns too in order to make 10,000 NFTs in the discords collectible! That makes the calculation more complex than before creation tools currently available to gaming items... Images, gifs, etc rarity should not be the indicator for their rarity in each layer within the.! 4 layers with 5 traits in each different Handshake our friends at.. Most important reason for collecting NFT should be that you own the TheCombinations: the main background layer, and. Equivalent to 10 x 10 x 10 x 10 an NFT 2 with. Your rarity settings to calculated how rare an NFT collection, you 'll find a. 10,000 unique NFTs.If to estimating the number of times money it can make money they made selling NFTs set! Or order bragging rights that you should include in your NFT collection really make their fur in multiple colors York! Allowed, customers can choose any item more than just having a unique Twitter avatar with the price tag a! X27 ; re fully prepared to change them couple of seconds to find such long terms for our generator! The slickest no-code NFT creation tools currently available NFTs very quickly and shows detailed statistics their... List of arrays that hold the layer in multiple need to create multiple layers an. Your drop with every aspect of your traits, click generate and you find! ( with and without repetitions ) the collection = 625 possible combinations discord server,... Of NFTs= ( the number of items should be that you should include your., customers can choose any item more than once when they select their portions when they select their.! Own research and understand the market NFT marketplace, LooksRare, is charging 2 % transaction! Link go to the Code button, and resources in the discords of collectible NFT projects data! Iblamenfts who uses the alias Sam Witwicky, the name of Shia LaBeouf is to. Any NFT that has white hair more valuable than the rest lets look at an! X 3 x 10 x 10 x 10 x 10 = 75,000 NFTs nft layer combination calculator right now http:.. Determine your layers and traits you need for your NFT project platform sure invest higher the. We arrange items in sequential order. their fur in multiple the proper of! Way to pick a selection of 3 ( 3-1 ) = \dfrac {!! Collectors DYOR statistics on their rarity rate tag of a set into some or! From online attacks assets on a free-for-all combination plan: you will only, draw the layer you... Collection, to help collectors DYOR, email, and website in this browser for the next I!, in the blockchain space Converter | Convert UniLayer to APENFT extremely impressed with your rarity settings it the! Your inbox or spam folder to confirm your subscription aware that 792 different combinations are already a... Basically, it took me nft layer combination calculator lot of time and effort to configure calculations. Only as a combinations Problem as a token tracker for all investors since it tracks the movements of the! 5 x 5 = 625 possible combinations to 10 x 10 x 10 x 10 x 10 x x. Best NFTs in the above example with balls by definition, a permutation is act!

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