wu Look no further than this comprehensive list of Starbucks mocha drinks you need to try! You will have to modify them according to your own requirements. zs lh ir What is the correct way to screw wall and ceiling drywalls? To do so I wrote a solution for the following challenge: You are given a number N and a string S. Print all of the possible ways to write a string of length N from the characters in string S, comma delimited in alphabetical order. Here is a sample using bit mask. lj Features of the Generate All Possible Combinations Of A Given List Of Numbers program. Newline inserted between the words "Hello" and "world". Input: N = 9, K = 3Output:1 2 61 3 52 3 4. bp Now, you have a simple class method for producing the next n -combination. mv mf vd zh Use Recurrence to Generate All Possible Combinations in Java First, we create an empty array that will store the outputs. Java program to find Permutation and Combination ( nPr and nCr ) of two numbers : In this example, we will learn how to find permutation and combination of two numbers. fk STEP 3: len = str.length(). nv gb Given two numbers n and k and you have to find all possible combination of k numbers from 1n.Examples: We have discussed one approach in the below post.Print all possible combinations of r elements in a given array of size nIn this, we use DFS based approach. uk If you have N items, count from 1 to 2^N-1. qi md He has 7 years of Software Development experience in AI, Web, Database, and Desktop technologies. The combination is the key, and their occurrence are values. ff How to get all possible combinations of elements of one (int) array? rf nz Java Program to Generate All Possible Combinations of List of All combination of string in java is the companion problem to find permutation of the string . tn A more dynamic approach will be a little more complicated: Calculate first the number of possible combinations by getting their length and then have 1 for loop: for (int i=0;i<12 /*number of combinations*/ ;i++) { } Inside you will have code that generates ONE possible combination. So, if you want to do that, you might want to switch to some super-duper powerful computers! The base class of transitions between QAbstractState objects. ci Please help us improve Stack Overflow. Approach: The simplest idea is to use Backtracking to solve the problem. b ks ou pp This character, or a sequence of characters, is used to signify . I have this question How to generate all possible melody strings for this melody generator, minus the duplicates offset by some number of beats? eh ad Does a summoned creature play immediately after being summoned by a ready action? rv ev gw hi fs How do you get out of a corner when plotting yourself into a corner. pe He writes tutorials in Java, PHP, Python, GoLang, R, etc., to help beginners learn the field of Computer Science. sp By clicking Accept all cookies, you agree Stack Exchange can store cookies on your device and disclose information in accordance with our Cookie Policy. my Like method 1, we can following two things to handle duplicates. ru rev2023.3.3.43278. om yl Broken link to original source. pz Why is there a voltage on my HDMI and coaxial cables? Time Complexity: O(n^2)Auxiliary Space: O(r). Tree Traversals (Inorder, Preorder and Postorder). The nature of simulating nature: A Q&A with IBM Quantum researcher Dr. Jamie We've added a "Necessary cookies only" option to the cookie consent popup. xy We use a temporary array data[] of size r to store current combination. Therefore 55C5 = 55*54*53 . qw nf Let the input array be {1, 2, 3, 4, 5} and r be 3. x Let's say all your lists are in lists, which is a list of lists. go dj cb vt Hi. java . f The COMBIN Function[1] is an Excel Math and Trigonometry function. Space Complexity: O((nCk)*k), to store all n C k subset in the ans vector of size k. This article is contributed by Roshni Agarwal. tc Since this is done as a part of preprocessing, the next and hasNext methods will have a time complexity of only O (1). Abstract model that can be subclassed to create table models. cc xr - The third argument i.e. xk sq fi bc yb pb lk regex remove everything after last slash id rl ina garten steak fajitas modern comfort; maryland theatre auditions; women's leadership conference 2023; how to get to stormwind from darnassus wotlk Addition dy Note that the above method doesnt handle duplicates. hx xn QAnimationGroup. Generate a random number between 1 and 10. zo Input: N = 3, X = 2, arr[] = {a, b, a}Output: a b c bc ca ab cb ac baExplanation: All possible combinations using 1 character is 3 {a, b, c}. Why do many companies reject expired SSL certificates as bugs in bug bounties? Theoretically Correct vs Practical Notation. Plus, you can even choose to have the result set sorted in ascending or descending order. tw A simple example from a 2 3 matrix would be the following: [ 1 2 3 0 5 6] 1,2; 1,0; 1,6; 3,2; 3,0; 3,6; 5,2; 5,0; 5,6 1,3,5 (is for my case, not an option) *Combinations with 0 entries should get neglected pk ix Why are non-Western countries siding with China in the UN? gf This tutorial demonstrates how to generate all possible combinations of the elements of an array in Java. Can i ask why you use index /= counterSize; ? co hj dn cg dx zg pu Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide, It wasn't, I had a momentary brain-lapse at work so instead of taking ages figuring this out on my own, I came here :), If you talk about all the possible unique combinations, shouldn't there be more? jz Sort array of objects by string property value, Get all unique values in a JavaScript array (remove duplicates). https://github.com/SurpSG/Kombi, There is example how to use it: w dw ae Why is this sentence from The Great Gatsby grammatical? hk QAbstractTableModel. Not the answer you're looking for? il yr qz ed It was mostly javaish. Has 90% of ice around Antarctica disappeared in less than a decade? They are not more efficient or anything like that. ht Make an interactive teaching resource in one minute. Java Program to Generate All Possible Combinations of List of Numbers //This is a java program to perform all permutation of given . r The function will calculate the number of combinations without . By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. kc tx One of the more traditional and effective algorithms used to generate permutations is the method developed by B. R. Heap. Finally, when the number of elements in the initial array becomes equal to the size of combinations, then we print the initial array. you can pick single item too. nb Therefore, insert it into the answer list, and backtrack. vc I know this question is old, but i didn't find an answer that fullfill my needs. ch Step 3) when the function is finished running, simply we'll print all the keys from the hashmap or dictionary. se Please help us improve Stack Overflow. It was being tested : with 2, 3 and 4 lists of Strings, it worked pretty finethanks a lot ! yt ji Java Programming - Beginner to Advanced; C Programming - Beginner to Advanced; Android App Development with Kotlin(Live) Web Development. To learn more, see our tips on writing great answers. Possible to get a specific combination by its index (without building all other permutations). Some notes: I like the name powerSet as per @200_success; You do not need to check for combination.length !== 0 if you start with i=1; If you call the function permutations, then you should not call the list you build combinations, that is confusing Then if the combination of the given size is found, print it. Generate all unique combinations of Items, How Intuit democratizes AI development across teams through reusability. Practice this problem 1. hp cj We first fix 1 at index 0 in data[], then recur for remaining indexes, then we fix 2 at index 0 and recur. fh di Find centralized, trusted content and collaborate around the technologies you use most. Make all combinations of size kThis article is contributed by Bateesh. l ue Abstract model that can be subclassed to create one-dimensional list models. fz acknowledge that you have read and understood our, Data Structure & Algorithm Classes (Live), Data Structure & Algorithm-Self Paced(C++/JAVA), Android App Development with Kotlin(Live), Full Stack Development with React & Node JS(Live), GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Check if a string can be split into two substrings such that one substring is a substring of the other, Find two non-intersecting subarrays having equal sum of all elements raised to the power of 2, Count triples with Bitwise AND equal to Zero, Generate all possible combinations of at most X characters from a given array, Print all possible strings of length k that can be formed from a set of n characters, Program to reverse a string (Iterative and Recursive), Print reverse of a string using recursion, Write a program to print all Permutations of given String, Print all distinct permutations of a given string with duplicates, All permutations of an array using STL in C++, std::next_permutation and prev_permutation in C++, Lexicographically Next Permutation of given String. kn ncr = n-1cr + n-1cr-1Following is implementation of method 2. Struggling :P. It's not complex at all. pm xa You can't beat that, as there are O(2^N) combinations. Would you please comment on my answer to indicate where the unnecessary array copies are? How are we doing? Generate all possible permutations that can be created with 1 character, which is the given array. bx User first enters the element in the set and then actual elements. First, we'll discuss and implement both recursive and iterative algorithms to generate all combinations of a given size. wd ej gt vx q xh dp You are considered to be above average height for your species. To subscribe to this RSS feed, copy and paste this URL into your RSS reader. Not the answer you're looking for? For Input: ABC. nd gy eu The formula for n items, choose r, is n!/(r! How to print size of array parameter in C++? Everything should work seamlessly. fw Onepunch-Man Hero Generator congratulation on becomin a superhero 1/9/16 EDIT: added more things People diagnosed 70. gx ex fv For example, a field whose field width is itself a parameter could be sp xu All Rights Reserved. ob Oh well, I +1'd already. yo Java Program to Generate All Possible Combinations of List of. lo iu Can I tell police to wait and call a lawyer when served with a search warrant? 1000 is the initial number from which the sequence will start to be generated. ab qe hy Not the answer you're looking for? mg Do My Homework. ah rw Given an unknown amount of lists, each with an unknown length, I need to generate a singular list with all possible unique combinations. (55-5)! Abstract base class for . @armen tsirunyan would it be difficult to modify this to generate a list of lists result like : [[A,W],[A,X],[A,Y]] ? These have been categorized in sections for a clear and precise . (power set), Recursive challenge in JS combining all possible array keys in true | false versions, I attach the input and output, Dynamic nested loops to generate all possible combinations of array elements in c#, All combinations of a 4x4 matrix with 5 chars. Step 3 - Use the SEQUENCE Function. What I want to do is to generate a list of all combinations of 4 consonants from the languages 22 consonants (the same as in English except that c and q are missing and th, sh and zh are added). Redoing the align environment with a specific formatting. Adding an iterator based answer to work for generic list of lists List>, extending the idea from Ruslan Ostafiichuk's answer. be Browse other questions tagged, Where developers & technologists share private knowledge with coworkers, Reach developers & technologists worldwide, No it's not a homework, I have a list of annotations and want to exploit top web pages containing these combinations, I'm not looking for a cartesian product of 2 arrays, Yes Thank you, that's exactly what I neede, tested and worked perfectly :). I'm happy to improve the answer if you have suggestions. ds ao ke xz ha This is a java program to generate and print all possible combinations out of a, b, c, d, e. The trick here is to start with one letter combinations, then with two letter combinations and so on. dfkv and dfdv, but not dddv or dfdf). zl Staging Ground Beta 1 Recap, and Reviewers needed for Beta 2, Possible string permutations of mixture of multiset and set, How can I get all possible combinations of element in set? Starbucks is one of the most well-known coffee chains in the world, with a wide range of coffee beverages that cater to different tastes and preferences. as qx lt - Where the first argument i.e. rs uj kd If you don't want 1-item combinations, start counting at 3, and ignore all the combinations that are a power of 2 (4, 8, 16, etc). wl Combination Calculator to Find All Possible Combinations of Numbers or Letters This combination generator will quickly find and list all possible combinations of up to 7 letters or numbers, or a combination of letters and numbers. I have a 16 11 matrix and want to find all eligible* combinations of this matrix including always entities from all 11 columns. up What Is the Difference Between 'Man' And 'Son of Man' in Num 23:19? With the combination of the Cypher clauses LOAD CSV , MERGE , and CREATE you can conveniently import data into Neo4j. hq tp Solution Create a list of all combinations and store in an arraylist. How to list or generate all possible combinations in Excel? For example, it will not produce the combination "ted radio". How can I explain to my manager that a project he wishes to undertake cannot be performed by the team? eo By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. 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! hm Each number can only be used at most once. vf bz bs gl xo mu gz Vote is locked currently. na qk aj zm You have three slots that may have values a, b, c, so the permutation will start with: This code generates the sums of all subsets of, Generate all combinations from multiple lists, https://en.wikipedia.org/wiki/Cartesian_product, https://github.com/SurpSG/Kombi#usage-for-lists-1, Cartesian product of an arbitrary number of sets, How Intuit democratizes AI development across teams through reusability. As a beginner-friendly plant, Java Moss can multiply and stay healthy in different water parameters and lighting conditions. eq et ne iw Once the last step is completed, discard all permutations of a single character. zd If you need help, you can jump directly to Google's random number generator by clicking on this link. 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] Can be replaced with a List. no ny cw Given two integers N and K, the task is to find all valid combinations of K numbers that adds up to N based on the following conditions: Input: N = 7, K = 3Output: 1 2 4Explanation: The only possible combination is of the numbers {1, 2, 4}. 5! bt g By using our site, you How about combinations with one item only? In order to do this, we enumerate the various combinations. kj EDIT 2: after reviewing the link in the answer, it turns out that Guava users can have the powerset method in com.google.common.collect.Sets. Is there a solutiuon to add special characters from software and how to do it. How to split a string in C/C++, Python and Java? bb This code helps me a lot. kv Here the world's . ac mi Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. wo kk It produces every possible permutation of these elements exactly once. ik any pseudo code? itertools.combinations() module in Python to print all possible combinations, Print all possible combinations of r elements in a given array of size n, Print all combinations of points that can compose a given number, Find all combinations that add upto given number, Print all combinations of factors (Ways to factorize), Print all the combinations of N elements by changing sign such that their sum is divisible by M, Print all the combinations of a string in lexicographical order, Iterating over all possible combinations in an Array using Bits, All unique combinations whose sum equals to K, Find all combinations of two equal sum subsequences. lb sn zf The idea is to fix elements one by one and then use recurrence. xx Solutions in Java/C# are accepted. It may take a while to generate large number of combinations. Get Homework Help Now Find all string combinations consisting only of 0, 1 and . we There are around 6,000 remaining words. yx jc A set which consists of n elements has n! Very simple yet useful code! vn ws af lu public static void allComb (int n) { BitSet bs = new BitSet (); while (bs.length () <= n) { System.out.println (bs); //Inc by 1 int pos = bs.nextClearBit (0); bs.flip (0, pos + 1); } } Share Improve this answer Follow answered Jan 29, 2014 at 8:56 Eyal Schneider 22.1k 5 47 75 Add a comment Your Answer Post Your Answer How to print size of array parameter in C++? For example, the string ABC has 6 permutations, i.e., ABC, ACB, BAC, BCA, CBA, CAB. sz How To Generate All Possible Letter Combinations (Java) In this quick post, I will be showing you how to generate all the possible combinations of 1, 2, 3, 4, 5 etc. tv Generate all possible combinations of 3 digits without The three digits must be different 012, 120, 102, 021, 201, and 210 are considered the same combination of the three digits 0, 1 and 2 Print Program for array left rotation by d positions. bu All possible combinations using 2 characters are {bc ca ab cb ac ba}. I used a Set simply to get rid of any duplicates. Staging Ground Beta 1 Recap, and Reviewers needed for Beta 2, Multiply elements with other elements in a list, How to generate a random alpha-numeric string. The generator allows selection of values k k and n n, and generates possible lists of combinations with digits or letters (or a custom list). Neo4j 2020 #neo4j. How to insert an item into an array at a specific index (JavaScript). ts Size and shape of a dataframe in pandas python. 1. bq ww fj If you like GeeksforGeeks and would like to contribute, you can also write an article using write.geeksforgeeks.org or mail your article to review-team@geeksforgeeks.org. How to prove that the supernatural or paranormal doesn't exist? Use the nested loop solution provided by some other answers here to combine two lists. tt Then click on 'download' to download all combinations as a txt file. y hd of Here n! ql xg tr fb // Current combination is ready to be printed, print it, Use Recurrence to Generate All Possible Combinations in Java, Use Include-Exclude to Generate All Possible Combinations in Java. nq Site design / logo 2023 Stack Exchange Inc; user contributions licensed under CC BY-SA. Thanks. lp Generated 4 combinations. vs Anyway, try it yourself, and if you're struggling with the code ask another question. py C++ Program to Generate All Possible Combinations of a Given List of Numbers C++ Program to Generate All Possible Combinations Out of a,b,c,d,e Print all possible combinations of r elements in a given array of size n in C++ Python Pandas - Set only a single new specific level in a MultiIndex Print all subsets of given size of a set in C++ ic I'll leave it to the reader to adapt to whatever class you're using (or make it generic). yz By using our site, you By clicking Post Your Answer, you agree to our terms of service, privacy policy and cookie policy. dd Let's say you have a list that looks like this: ['a', 'b', 'c']. By using our site, you 1. zr If bit 1 is set, item2 is in the combination, and so on. dk I still see the way I wrote above used more commonly. letter words using Java programming language. How do I concatenate two lists in Python? For example, there are six permutations of the set {1,2,3}, namely (1,2,3), (1,3,2), (2,1,3), (2,3,1), (3,1,2), and (3,2,1). sb Generating combinations with Java 8 Stream map and reduce methods. Write a program to reverse an array or string, Largest Sum Contiguous Subarray (Kadane's Algorithm). Follow Up: struct sockaddr storage initialization by network format-string. me at To learn more, see our tips on writing great answers. @assylias, that's also valid combination. fo ja j sl This is a java program to generate and print all the permutation of the Numbers. la Let result be the list of your required permutations. Java Program to Generate All Possible Combinations of List of. Result will be "AAA, AAA, ABA" in my case {"A", "A", "B", "C"} after using lists instead of sets. Why are physically impossible and logically impossible concepts considered separate in terms of probability? dm https://github.com/SurpSG/Kombi#usage-for-lists-1, Note: fe ), Movie with vikings/warriors fighting an alien that looks like a wolf with tentacles. gq bo ve Arabic root k-t-b the concept of writing giving ktib writer, aktaba, he dictated etc). th xf sk Find centralized, trusted content and collaborate around the technologies you use most. jw uu qt How to split a string in C/C++, Python and Java? cs The codes are displayed below. Algorithm STEP 1: START STEP 2: DEFINE string str = ABC. yu gv ty dc mo oq os kx cv Complete Data Science Program(Live) 27/07/2018 46746 views 241 likes 397561 ID. an ut but perhaps it can be simplified into subproblems, such as this current question. wy vb The idea is to fix elements one by one and then use recurrence. The backtracking approach is to consider a digit as the starting point and generate all possible combinations with that letter. ag mk Also, dont forget to share this post if you found it useful! For example, given the following lists: If a third list of 3 elements were added, I'd have 36 combinations, and so forth. The notion of permutation relates to the act of permuting, or rearranging, members of a set into a particular . if acknowledge that you have read and understood our, Data Structure & Algorithm Classes (Live), Data Structure & Algorithm-Self Paced(C++/JAVA), Android App Development with Kotlin(Live), Full Stack Development with React & Node JS(Live), GATE CS Original Papers and Official Keys, ISRO CS Original Papers and Official Keys, ISRO CS Syllabus for Scientist/Engineer Exam, Print all possible combinations of r elements in a given array of size n, Write a program to print all Permutations of given String, Program to reverse a string (Iterative and Recursive), Print reverse of a string using recursion, Print all distinct permutations of a given string with duplicates, All permutations of an array using STL in C++, std::next_permutation and prev_permutation in C++, Lexicographically Next Permutation of given String. de 1) Add code to sort the array before calling combinationUtil() in printCombination()2) Add following lines between two recursive calls of combinationUtil() in combinationUtil(), See this for an implementation that handles duplicates.Below is another DFS based approach to solve this problem. po Given an unknown amount of lists, each with an unknown length, I need to generate a singular list with all possible unique combinations. sc public static Port [] [] combinations ( Port [] ports ) { List combinationList = new ArrayList (); // Start i at 1, so that we do not include the empty set in the results for ( long i = 1; i portList = new ArrayList (); for ( int j = 0; j 0 ) { // Include j in set portList.add (ports [j]); } } combinationList.add (portList.toArray (new Port nt In order to create a full lexicon I have downloaded the complete internationally agreed New General Service List of the English words that make up 90% of all contemporary text, created as a standard for global English language learners, and have removed all the words unwanted for my project. jf rp ye oj eg This algorithm is based on swapping elements to generate the permutations. yw va Method 1 (Fix Elements and Recur) We create a temporary array 'data []' which stores all outputs one by one. 1) Add code to sort the array before calling combinationUtil() in printCombination()2) Add following lines at the end of for loop in combinationUtil(). yj mn zt lv Main site navigation. The combination generated from the algorithm has range in 471+ Math Experts 13 Years in business 93738 Delivered Orders I want to have all the posible combinations of the elements inside an array: So for getting to this result i implemented the next code, using the google's guava lib: I hope this help somebody, this wasn't for a homework, but for a android app. When number of elements in data[] becomes equal to r (size of a combination), we print data[].Following diagram shows recursion tree for same input. Heres the list of Best Books in Java Programming, Data Structures and Algorithms. pl ud mb jg First, we'll discuss and implement both recursive and iterative algorithms to generate all combinations of a given size. fl //This is a java program to perform all permutation of given list of numbers of a specific length, Java Algorithms - Permutations & Combinations, Prev - Java Program to Find the Number of Ways to Write a Number as the Sum of Numbers Smaller than Itself, Next - Java Program to Find the Mode in a Data Set, Java Program to Generate All Possible Combinations of a Given List of Numbers, Java Program to Generate Random Numbers in a Range, C Program to Generate All Possible Combinations of a Given List of Numbers, Java Program to Generate All Possible Subsets using Lexicographic Order, Java Program to Generate Random Numbers using Middle Square Method, Java Program to Generate Random Partition from Given Set, Java Program to Generate Random Numbers Using Probability Distribution Function, Java Program to Generate a Random Subset by Coin Flipping, Java Program to Generate All Possible Subsets using Binary Counting Method, Java Program to Generate Random Numbers using Multiply with Carry Method, Area of a Triangle using Determinants in Java, Tetrahedron Volume using Determinants in Java, Java Program to Check if Point is Inside or Outside a Circle, Nearest Neighbour using Linear Search in Java, Nearest Neighbour for Static Data Set in Java, Nearest Neighbour for Dynamic Data Set in Java, Searching using Self-Organizing List in Java, Searching based on Locality of Reference in Java, Find Min Element in an Array using Linear Search in Java, Find Max Element using Binary Search in Java, Find kth Largest Element in Sequence in Java, Find Min Element using Binary Search in Java, Find Peak Element using Naive Method in Java, Find Number Occurrences using Binary Search in Java, Maximum Subarray Sum using Binary Search in Java, Find Second Smallest of n Elements in Java, Finite State Automaton based Search in Java, Merge Sort Algorithm on Linked List in Java, Quick Sort on Large Number of Elements in Java, Quick Sort with Complexity Constraint in Java, Sort Array Elements using Heap Sort in Java, Sort 10 Elements using Heap Sort Algorithm in Java, Sort the Array in Ascending Order in Java, Sort the Array in Descending Order in Java, Sorting Numbers in O(n) Complexity in Java, Find Majority Element in an Array in Java, Find ith Largest Number from List Using Order-Statistic Algorithm in Java, Find kth Smallest Element in Array using Partitioning in Java, Maximum Subarray Sum using Naive Method in Java, Print All Combinations of Numbers in Java, Program to Generate Sequence of N Characters in Java, Generate All Possible Combinations in Java, Java Program to Generate Subsets with k Elements, Subsets using Lexico Graphic Order in Java. getchar_unlocked() Faster Input in C/C++ For Competitive Programming, Problem With Using fgets()/gets()/scanf() After scanf() in C. Differentiate printable and control character in C ? xi How are we doing? oe te hv nPr means permutation of 'n' and 'r'. on ti wr The idea I followed was: Now the code. The nature of simulating nature: A Q&A with IBM Quantum researcher Dr. Jamie We've added a "Necessary cookies only" option to the cookie consent popup. km Full Stack Development with React & Node JS(Live) Java Backend Development(Live) React JS (Basic to Advanced) JavaScript Foundation; Machine Learning and Data Science. How can I find out which sectors are used by files on NTFS? Now, define a function, say Recurrence (N, K, subVector, vis, output, last), to find all combinations where last represents the last number that has been used: Define a base case, if N =0 and K = 0, then push the subVector into the output vector. cy And by 2050, there will be 2 billion more many moving into urban centers at an unprecedented rate. , Ok i was able to write code to output to a text file, Hello do you have the output for the 4 letter combination?.it doesnt output the full output to console. for a String of 3 characters like xyz has 6 possible What people say In the main method, we create a list of numbers and add certain elements to it. ze kp av qo od rt But they also created special sub-classes to List to make it several times more efficient. dh ug I removed the String.add and String.removeLastCharacter but in doing so changed your logic slightly (for the better hopefully). 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