How to intersect two lines that are not touching. For more details see https://en.wikipedia.org/wiki/Cartesian_product, I recommend to use my open source library that can do exactly what you need: They are not more efficient or anything like that. All possible combinations using 2 characters are {bc ca ab cb ac ba}. What information do I need to ensure I kill the same process, not one spawned much later with the same PID? there are ready solutions (here on stack) for generating subsets of size M from list of size N and for permutations of a subsets. Does higher variance usually mean lower probability density? Use the keys in the second foreach loop to access the data array, means from: Thanks for contributing an answer to Stack Overflow! No recursion and multiple lists. Number of combinations to the nth step taking 1, 2 or 3 steps at a time. Then, allocate each participant x to one of the not full groups which is between the first and the maximum empty group. The idea I followed was: Now the code. What could a smart phone still do or not do and what would the screen display be if it was sent back in time 30 years to 1993? By using our site, you A choice combination is a series of choices made from among several possibilities. If we include the first item, then we need to choose r 1 elements from the remaining n 1 items. Input: N = 3, X = 3, arr [] = {'d', 'a', 'b'} Output: d a b da ab bd ad ba db dab dba abd adb bda bad. Why hasn't the Attorney General investigated Justice Thomas? You could implement it like this: I overpaid the IRS. An other (complementary) way to optimize if is rather than creating an ArrayList<ArrayList<ArrayList<Integer>>>, create an implmentation of Iterable<ArrayList<ArrayList<Integer>>> that would internaly store the variables of the outer loop in it's Iterator<ArrayList<ArrayList<Integer>> instances, and perform an iteration each time next() is called. How to split a string in C/C++, Python and Java? What happens when XML parser encounters an error? How do two equations multiply left by left equals right by right? Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Define m, the maximum capacity of any one group, as ceil( k / n ). To win at Powerball, pick 5 out of 69 (69 choose 5), then pick 1 out of 26 (26 choose 1). To use it in the project, let's add the combinatoricslib3 Maven dependency: <dependency> <groupId> com.github.dpaukov </groupId> <artifactId> combinatoricslib3 </artifactId> <version> 3.3.0 </version> </dependency> Should the alternative hypothesis always be the research hypothesis? To learn more, see our tips on writing great answers. a feedback ? How to provision multi-tier a file system across fast and slow storage while combining capacity? Generate all combinations from multiple lists. How can I test if a new package version will pass the metadata verification step without triggering a new package version? Furthermore, I use collections and generics for more flexibility: I'm using guava library for collections creation. This is how Buckles solves the problem. How to save and retrieve Date in SharedPreferences. Stack Exchange network consists of 181 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers. How to print size of array parameter in C++? minimize? Create a list of all possible combinations of elements into n-groups from a set of size k, The philosopher who believes in Web Assembly, Improving the copy in the close modal and post notices - 2023 edition, New blog post from our CEO Prashanth: Community is the future of AI, Avoiding use of an initialized variable that will either be changed or ignored, Print all possible combinations of size r, from an array of size n, Advanced and Detailed Minesweeper Probabilities, All possible groups of combinations of array. How to convert JSON to XML or XML to JSON in C#? I have a list of items {a,b,c,d} and I need to generate all possible combinations when, you can select any number of items. Another situation is either left and right is less than 0, we will break the recursion. dCode is free and its tools are a valuable help in games, maths, geocaching, puzzles and problems to solve every day!A suggestion ? Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. In this tutorial, Excel MVP, Roger Govier, shows how to create dependent drop down lists, using named tables and the INDIRECT function NOTE: There are other techniques for setting up dependent drop down lists, so choose the setup method that is best for your needs. getline() Function and Character Array in C++. Algorithm to get the combinations of all items in array JavaScript; All combinations of sums for array in JavaScript; Generate all combinations of supplied words in JavaScript; Generating combinations from n arrays with m elements in JavaScript; Python program to get all pairwise combinations from a list On the other hand, if we discard the first item, then we need to select r elements out of the remaining n 1 items. This topic came in handy. How to calculate the total number of combinations. Generate Parentheses. This code helps me a lot. Home > Validation > Dependent > Tables. Given an unknown amount of lists, each with an unknown length, I need to generate a singular list with all possible unique combinations. If we take the possibilities, it should be, n=4, number of items total #of combinations = 4C4 + 4C3 + 4C2 + 4C1 = 15. Analytical cookies are used to understand how visitors interact with the website. Connect and share knowledge within a single location that is structured and easy to search. Which is the best library to generate combinations in Java? Put someone on the same pedestal as another. This cookie is set by GDPR Cookie Consent plugin. Get all possible (2^N) combinations of a lists elements, of any length. using a library is always better than reinventing the wheel. This cookie is set by GDPR Cookie Consent plugin. This way, you will have only one instance of . Click on Go, then wait for combinations to load. Reference - What does this error mean in PHP? how to reverse a list with O(1) space and O(n) time? Is the amplitude of a wave affected by the Doppler effect? Any ideas on how I can do this in Java? Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide. If no such place exists, back out to a smaller participant number. How is the 'right to healthcare' reconciled with the freedom of medical staff to choose where and when they work? How to generate the whole list of combinations with many options? Example: All clothes combinations among 3 colors and 5 sizes: 1st multiple choice, the color red, green, blue 2nd multiple choice, the size XS S M L XL: The total number is equal to the multiplication of the number of each possible choices. You need recursion: Let's say all your lists are in lists, which is a list of lists. The copy-paste of the page "Combination of Choices" or any of its results, is allowed as long as you cite dCode! Ah you're right. Let result be the list of your required permutations. Do EU or UK consumers enjoy consumer rights protections from traders that serve them from abroad? It does not store any personal data. And if you want to iterate over the set it's best to use a modified gray code algorithm so you aren't holding all of them in memory. Then click on 'download' to download all combinations as a txt file. Is Java "pass-by-reference" or "pass-by-value"? For example, given the following lists: X: [A, B, C] Y: [W, X, Y, Z] Then I should be able to generate 12 combinations: [AW, AX, AY, AZ, BW, BX, BY, BZ, CW, CX, CY, CZ] If a third list of 3 elements were added, I'd have 36 combinations, and so forth. dCode retains ownership of the "Combination of Choices" source code. Does contemporary usage of "neithernor" for more than two options originate in the US? Thanks for contributing an answer to Stack Overflow! Only when left and right both equal to 0, the string s will be push into answer vector. Let result be the list of your required permutations. I know that there might not be an extremely fast way to do this, but I'd like to at least be able to run it with some reasonably small numbers and have it finish in a relatively short time period and not take up more RAM than it has too. Its definitely wrong, so we get rid of the following recursions. EDIT: Yes, I have searched to see if I can find a previous post that asks the same question. I posted it as none of the answers here give a clear algorithm, and I can't stand recursion. Functional cookies help to perform certain functionalities like sharing the content of the website on social media platforms, collect feedbacks, and other third-party features. The group number/order doesn't matter. Generate all combinations from multiple lists java list algorithm combinations cartesian-product 70,117 Solution 1 You need recursion: Let's say all your lists are in lists, which is a list of lists. What are assertions in Java and when should they be used? yes, there are more efficient ways. We use cookies on our website to give you the most relevant experience by remembering your preferences and repeat visits. Generating power set recursively without any loops, Generating All Combinations of List n Levels Deep in Java, Group list of objects into smallest possible number of sublists without exceeding maximum sum. Create a recursive function that accepts a string (s), count of opening brackets (o) and count of closing brackets (c) and the value of n. if the value of opening bracket and closing bracket is equal to n then print the string and return. Any ideas on how I can do this in Java? Approach 1: To form all the sequences of balanced bracket subsequences with n pairs. rev2023.4.17.43393. Does Chain Lightning deal damage to its original target first? Because they both are 0 means we use all the parentheses. When to use LinkedList over ArrayList in Java? Fortunately, it also does not produce duplicate combinations: For an example: 27 = C(6,4) + C(5,3) + C(2,2) + C(1,1). Furthermore, I use collections and generics for more flexibility: I'm using guava library for collections creation. Since we need to pass the state between different states we won't use the for-loop, but instead, use recursion, Algorithm to return all combinations of k elements from n, Art of Computer Programming Volume 4: Fascicle 3, Some Hamilton Paths and a Minimal Change Algorithm, Adjacent Interchange Combination Generation Algorithm, An Efficient Implementation of the Eades, Hickey, Read Adjacent Interchange Combination Generation Algorithm, Algorithm 382: Combinations of M out of N Objects, Python How to convert two lists into a dictionary, Python How to randomly select an item from a list, Java How to generate random integers within a specific range in Java, Python How to make a flat list out of a list of lists, Python How to concatenate two lists in Python, How to pair socks from a pile efficiently. NB: Generation limited to 10000 combinations. How can I pair socks from a pile efficiently? Why does the `map` method apparently not work on arrays created via `new Array(count)`? I used a Set simply to get rid of any duplicates. I appreciate it, but can I know why you are using Lists.newLinkedList instead of List copy = new LinkedList<>(); is this version anymore efficient. For instance, if {} denotes one possible way to create a set of groups, [] denotes a group, and each individual is represented by a number, the groupings {[1,2],[3,4,5]} and {[4,3,5],[1,2]} should be considered equivalent and are both valid groupings for an input of 5 participants and 2 groups. An issue that you will come across is of course memory and pretty quickly, you'll have problems by 20 elements in your set -- 20C3 = 1140. How to generate all combinations from multiple lists in Java? map.keySet () will return a Set of the maps keys. For example, given the following lists: Then I should be able to generate 12 combinations: If a third list of 3 elements were added, I'd have 36 combinations, and so forth. The fundamental principle is going to be that we need to yield one grouping at a time, because there are so many possibilities that they will never all fit into memory. rev2023.4.17.43393. You could implement it like this: This operation is called cartesian product. Storing configuration directly in the executable, with no external config files, What are possible reasons a sound may be continually clicking (low amplitude, no sudden changes in amplitude). Given an array arr[] consisting of N characters, the task is to generate all possible combinations of at most X elements ( 1 X N). Why is current across a voltage source considered in circuit analysis but not voltage across a current source? They are as fast as possible, having the complexity O(nCk). Oh well, I +1'd already. 12 gauge wire for AC cooling unit that has as 30amp startup but runs on less than 10amp pull. Enter the choices on each line in the generator and click on generate button Example: All clothes combinations among 3 colors and 5 sizes: 1st multiple choice, the color red, green, blue 2nd multiple choice, the size XS S M L XL: How to calculate the total number of combinations? How to show Y axis label horizontally in a matplotlib chart? For example, a unique combination that you have not reported in your final list is [A].. so it should be [A, B, C, W, X, Y, Z, AW, AX, AY, AZ, BW, BX, BY, BZ, CW, CX, CY, CZ]. Flutter change focus color and icon color but not works. Now, in your binary sequence produced, if the code is 1 , then the element is present otherwise it is not included. After a little editing so that it'd work with Lists of Doubles (I used Strings in my question as I thought it my be easier to explain), this worked perfectly, Thanks! Use json_decode() to create array insead of an object. What could a smart phone still do or not do and what would the screen display be if it was sent back in time 30 years to 1993? However, you may visit "Cookie Settings" to provide a controlled consent. How to divide the left side of two equations by the left side is equal to dividing the right side by the right side? Find centralized, trusted content and collaborate around the technologies you use most. { Its kind of pruning. Explanation: All possible combinations using 1 character is 3 {'a', 'b', 'c'}. So, the 27th lexicographical combination of four things is: {1,2,5,6}, those are the indexes of whatever set you want to look at. So the subsequence will be of length 2*n. There is a simple idea, the i'th character can be ' {' if and only if the count of ' {' till i'th is less than n and i'th . By using our site, you Put someone on the same pedestal as another. If employer doesn't have physical address, what is the minimum information I should have from them? Realizing that the index should be some amount of change from right to left based on the index we can construct something that should recover a combination. Thus, there will be i groups of size m and n - i groups of size m - 1. (pseudo code would be fine too) java list algorithm The cookie is used to store the user consent for the cookies in the category "Other. How do I generate random integers within a specific range in Java? How do I generate random integers within a specific range in Java? What sort of contractor retrofits kitchen exhaust ducts in the US? algorithmcartesian-productcombinationsjavalist. @RayTayek Again, that's looking for all ways to create ONE group. Cite as source (bibliography): Since combinations are unordered, {1,3,2} = {1,2,3} --we order them to be lexicographical. Once the last step is completed, discard all permutations of a single character. We have to generate all valid combinations of parentheses. For example, given the following lists: If a third list of 3 elements were added, I'd have 36 combinations, and so forth. Enter a custom list Get Random Combinations. If a people can travel space via artificial wormholes, would that necessitate the existence of time travel? Java - Generate all combinations from multiple lists. By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. Then do what you have to do with this Iterable rather that the ArrayList. This is like generating an integer with a given number of 1 bits. Find centralized, trusted content and collaborate around the technologies you use most. Write a function to generate all possible n pairs of balanced parentheses. The cookie is used to store the user consent for the cookies in the category "Analytics". and all data download, script, or API access for "Combination of Choices" are not public, same for offline use on PC, mobile, tablet, iPhone or Android app! When to use nested serializers in mongoengine? Is it considered impolite to mention seeing a new city as an incentive for conference attendance? PS: as it turned out Guava's Cartessian Product uses the same algorithm. carray 1 * carray 2 * carray 3 = 2 * 2 * 2 = 8, *1 And if you wonder why I chose c for amount, because of the function count() in php. :), The operation that you need to implement called Cartesian Product. How to sort list by POJO property in descending order? These cookies will be stored in your browser only with your consent. For example, given the following lists: These generate the next combination from the previous and avoid repetitions. Each time I say "choose", or "one of", I am implying that you will loop over all possible choices. A-143, 9th Floor, Sovereign Corporate Tower, We use cookies to ensure you have the best browsing experience on our website. First, we must identify what are the characteristics of a valid string. Let's say {1,2,3} we can say that the difference between the elements is one and in order and minimal. Do we want to maximize the differences between successive combinations? 1 How to generate all combinations from multiple lists in Java? Making statements based on opinion; back them up with references or personal experience. How do I make a flat list out of a list of lists? The cookie is used to store the user consent for the cookies in the category "Performance". Some of the original papers describing gray codes: Here are some other papers covering the topic: Phillip J Chase, `Algorithm 382: Combinations of M out of N Objects' (1970). @Phil_1984_ But his code still wouldn't be very flexible.. How to get all combinations from multiple arrays? MathJax reference. Not the answer you're looking for? Can members of the media be held legally responsible for leaking documents they never agreed to keep secret? did you actually read my question fully? If the count of opening bracket is greater than count of closing bracket then call the function recursively with the following parameters String, If the count of opening bracket is less than n then call the function recursively with the following parameters String. How do I make Google Calendar events visible to others? How do I efficiently iterate over each entry in a Java Map? In each recursion, we try put { and } once, when left { > right } , means it will start from } . How can I concatenate two arrays in Java? Given an unknown amount of lists, each with an unknown length, I need to generate a singular list with all possible unique combinations. But to get only the combinations with the desired length we are overwriting the result array each iteration, so that at the end only the combinations with the expected length are in the results array. This method has an implicit 0 to start the set for the first difference. Because its not necessery . Mike Sipser and Wikipedia seem to disagree on Chomsky's normal form. An other (complementary) way to optimize if is rather than creating an ArrayList>>, create an implmentation of Iterable>> that would internaly store the variables of the outer loop in it's Iterator> instances, and perform an iteration each time next() is called. Example: Calculate the number of combinations of (69 choose 5) = 11 238 513, and multiply by (26 choose 1) = 26 for a total of 292 201 338 combinations. Can members of the media be held legally responsible for leaking documents they never agreed to keep secret? I've rewritten the previous solution fully in Java and more user friendly. Not the answer you're looking for? That means, in particular, that participant 1 always ends up in the first group, participant 2 always ends up in the first or second group (if there are two groups), etc. an idea ? (pseudo code would be fine too). How to generate the power-set of a given List? Other uncategorized cookies are those that are being analyzed and have not been classified into a category as yet. Get difference between two lists with Unique Entries. rev2023.4.17.43393. How do two equations multiply left by left equals right by right? How to code all possible combinations of string? How to override the properties of a CSS class to avoid copying and renaming styles, Missing file libarclite_iphoneos.a (Xcode 14.3). You also have the option to opt-out of these cookies. Use the nested loop solution provided by some other answers here to combine two lists. A more general version will call the user provided function along with the state variable, starting from the initial state. When Tom Bombadil made the One Ring disappear, did he put it into a place that only he had access to? How do I get a YouTube video thumbnail from the YouTube API? Result will be "AAA, AAA, ABA" in my case {"A", "A", "B", "C"} after using lists instead of sets. Can be replaced with a List. By clicking Accept All, you consent to the use of ALL the cookies. How to generate the power-set of a given List? Why does awk -F work for most letters, but not for the letter "t"? Real polynomials that go to infinity in all directions: how fast do they grow? Also . @turbo2oh: It would require a trivial modification to the program, just add commas and brackets wherever you want. Here is a sample using bit mask. The cookies is used to store the user consent for the cookies in the category "Necessary". How to merge two arrays in JavaScript and de-duplicate items, Get all unique values in a JavaScript array (remove duplicates). . Content Discovery initiative 4/13 update: Related questions using a Machine php How to concatenate 2 arrays in one array, Get combinations of multidimensional array, Creating string combination from dynamic array, Calculate possible combinations from dynamically generated arrays, Best way to find all the combination (72^5) and insert into Mysql DB. How to generate a list of permutations in Java? Use of all the cookies in the category `` Necessary '' Attorney General investigated Justice Thomas technologies. ( 1 ) space and O ( 1 ) space and O ( )! Fast do they grow more General version will call the user provided function along with website! Is not included I 've rewritten the previous solution fully in Java one Ring disappear, did he Put into! Pass-By-Value '' / n ) should have from them I overpaid the IRS best experience. 0, the operation that you need to choose Where and when work! Easy to search get rid of any one group of medical staff to choose and! Library to generate the next combination from the initial state remove duplicates ) 1. Javascript and de-duplicate items, get all combinations from multiple lists in Java map method... ( k / n ) of `` neithernor '' for more than two options originate in the US use and... Around the technologies you use most uncategorized cookies are those that are being and... Employer does n't have physical address, what is the best browsing experience on our website around the technologies use! Post your answer, you may visit `` cookie Settings '' to provide a controlled consent previous post asks. Looking for all ways to create one group, as ceil ( k / ). To load Reach developers & technologists worldwide 12 gauge wire for ac cooling unit that has as 30amp startup runs... O ( 1 ) space and O ( n ) time, having the complexity O ( nCk.... What does this error mean in PHP Python and Java ) function and Character array C++... Iterate over each entry in a matplotlib chart no such place exists, out. Consumers enjoy consumer rights protections from traders that serve them from abroad with the freedom of generate all combinations from multiple lists java staff choose. De-Duplicate items, get all possible n pairs of balanced parentheses across and... Right is less than 10amp pull are 0 means we use all cookies. Sequences of balanced bracket subsequences with n pairs of balanced parentheses `` t '' you Put on. Its results, is allowed as long as you cite dCode service, privacy policy cookie! Information do I make a flat list out of a given list once the last step is,... Ca ab cb ac ba } this method has an implicit 0 to start the for! Matplotlib chart, but not works element is present otherwise it is not.. Service, privacy policy and cookie generate all combinations from multiple lists java thumbnail from the previous solution fully in Java, starting from YouTube. Let 's say { 1,2,3 } we can say that the difference between the difference. & # x27 ; to download all combinations from multiple lists in Java all valid combinations of a Character! ( remove duplicates ) at a time up with references or personal.... Other questions tagged, Where developers & technologists share private knowledge with coworkers, developers... Provided function along with the freedom of medical staff to choose Where when., trusted content and collaborate around the technologies you use most participant x to one the! Healthcare ' reconciled with the same PID combinations to the program, just add commas and wherever. These cookies will be push into answer vector without triggering a new city as an incentive for attendance! Any one group, then the element is present otherwise it is not included: these generate the list. Is allowed as long as you cite dCode, Sovereign Corporate Tower, we must what! ; to download all combinations from multiple lists in Java is always better reinventing! Clicking Accept all, you Put someone on the same process, not one spawned much later with state... Is structured and easy to search of combinations with many options, we! Stand recursion, if the code is 1, then we need to ensure you have to with. Employer does n't have physical address, what is the amplitude of a CSS class to avoid copying and styles! Not for the cookies the technologies you use most of service, privacy policy and cookie policy Put into! Binary sequence produced, if the code that the ArrayList in Java and more user friendly very. Its original target first ; back them up with references or personal experience flexible.. how to convert JSON XML... A series of Choices '' or `` pass-by-value '' not one spawned much later with freedom. To infinity in all directions: how fast do they grow Necessary '' the differences between successive combinations to on... Between the first and the maximum capacity of any one group, as ceil ( k n! Library is always better than reinventing the wheel will be I groups of size m and n I. Or UK consumers enjoy consumer rights protections from traders that serve them from abroad side of two equations the... With the same pedestal as another of all the sequences of balanced bracket subsequences n... Map ` method apparently not work on arrays created via ` new array ( count ) ` store the provided. Polynomials that Go to infinity in all directions: how fast do they grow Xcode ). & technologists share private knowledge with coworkers, Reach developers & technologists.! Step taking 1, then wait for combinations to the use of all the parentheses is like an... Then we need to implement called cartesian Product a string in C/C++, Python and Java array ( remove )... To provision multi-tier a file system across fast and slow storage while combining capacity you! Set of the not full groups which is between the elements is one and in and. Json to XML or XML to JSON in C # CC BY-SA clicking Accept,... Of combinations to load valid combinations of parentheses sort of contractor retrofits kitchen exhaust ducts the. As a txt file in PHP x to one of the `` combination of Choices '' code. Cartessian Product uses the same question make Google Calendar events visible to?! A place that only he had access to to a smaller participant number for ac cooling that... Then do what you have the best browsing experience on our website to you! Can say that the ArrayList does n't have physical address, what is the minimum I... By GDPR cookie consent plugin our tips on writing great answers the Doppler?. I 've rewritten the previous solution fully in Java based on opinion ; back up. And renaming styles, Missing file libarclite_iphoneos.a ( Xcode 14.3 ) do with this Iterable rather that ArrayList... Reinventing the wheel the answers here give a clear algorithm, and I ca n't stand.. O ( nCk ) conference attendance only with your consent via ` new array ( remove duplicates ) s. On & # x27 ; download & # x27 ; download & # ;! You want why is current across a voltage source considered in circuit analysis not! A single location that is structured and easy to search can I test if a people can travel space artificial... Cartessian Product uses the same pedestal as another storage while combining capacity on our website give... Originate in the category `` Analytics '' our website to give you the most relevant experience by remembering your and. Group, as ceil ( k / n ) always better than reinventing the wheel - groups. You need to choose Where and when they work it like this: this is... Our terms of service, privacy policy and cookie policy to one of the `` combination of Choices from. ( count ) ` by GDPR cookie consent plugin for example, given the following lists these! Consent to the use of all the parentheses been classified into a place that only he access! Originate in the category `` Analytics '' libarclite_iphoneos.a ( Xcode 14.3 ) not for the first and the maximum group. Tower, we use cookies on our website to give you the most relevant experience by remembering your and... He had access to otherwise it is not included wherever you want has an implicit 0 start... Code is 1, 2 or 3 steps at a time this is like generating an integer a. One Ring disappear, did he Put it into a category as yet directions: how fast they. To one of the maps keys cookie policy 9th Floor, Sovereign Corporate Tower, will! Fast as possible, having the complexity O ( n ) by the side... Avoid repetitions around the technologies you use most can I pair socks from a pile efficiently they never agreed keep. It considered impolite to mention seeing a new city as an incentive for conference attendance axis horizontally. They both are 0 means we use cookies on our website operation that you need recursion: &!, discard all permutations of a wave affected by the right side by the Doppler effect or... The right side space and O ( 1 ) space and O ( )! A more General version will call the user provided function along with the freedom of medical staff choose. And I ca n't stand recursion than 0, we will break the.... Letter `` t '' a wave affected by the right side identify what are the characteristics of a given?... The first difference an integer with a given list his code still would n't be flexible. X27 ; to download all combinations as a txt file ) space and O ( n ) post that the! Merge two arrays in JavaScript and de-duplicate items, get all unique values in a matplotlib chart ( n.! String s will be I groups of size m and n - I groups of size -... Be I groups of size m and n - I groups of size m - 1 and order.

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generate all combinations from multiple lists java