Permutation in Java — the Concept of the Backtracking Algorithm. JavaScript,Permutation,Algorithm,Impleme.In secondary school, we have learned permutation. permutation stl-containers combinatorics combinations partition combinatorial-search motzkin combinatorial-objects If such arrangement is not possible, it must be rearranged as the lowest possible order ie, sorted in an ascending order. A collection of data structures and algorithms in C++. This means this permutation is the last permutation, we need to rotate back to the first permutation. Permutation is the different arrangements that a set of elements can make if the elements are … There are several algorithms about generating permutation which usually use recursion to produce the result. But there is at least one thing missing in Java for sure — permutations. Apparently, Java does not provide any such inbuilt method. Java Program to Print All Permutation of a String Here is our sample Java program to print all permutations of given String using recursive algorithm. Contribute to enfact/lpo-java development by creating an account on GitHub. A modern C++ library for efficiently and easily iterating through common combinatorial objects, such as combinations, permutations, partitions and more. The library uses aggressive inlining and MutableByteArray#s internally, so it is very efficient. Java Tutorial; ... Next. To associate your repository with the where N = number of elements in the range. Library of Permutation Operations for Java. たとえば、四つの要素があれば、4×3×2通りの方法で順列を生成できます。C++では、辞書順で順列を生成するライブラリが提供されます。のnext_permutationとprev_permutationを利用しましょう。それぞれ、辞書順で一つ … Construct the identity permutation. A permutation is specified as each of several possible ways in which a set or number of things can be ordered or arranged. We can create recursive function to create permutations of string. golang string strings array permutation arrangement powerset Updated Jul 2, 2020 Here we will use algorithm library. This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here! Add a description, image, and links to the possible arrangements the elements can take (where N is the number of elements in the range). Longest Palindrome Substring in a String in Java. Each one of you have some preference. As there is no matter about the order of arrangement of the objects, therefore, to every combination of r things, there are r! wb_sunny search. Standalone MATLAB implementation of permutation TFCE correction, Solutions for Cracking the Coding Interview - 6th Edition. Combinatorial Objects Generators for Java 7+. Basically, for n numbers, the number of permutations for these n numbers can be calculated to n! Thus, for K circular permutations, we have K...n linear permutations.                   = n. n. n..............r times =nr. Implement the next permutation, which rearranges numbers into the numerically next greater permutation of numbers. possible arrangements the elements can take (where N is the number of elements in the range). C has a function (next_permutation()), that modifies permutation (parameter) to next permutation (lexicographically greater), if such permutation exists is function return value is true, false otherwise. So we reverse the whole array, for example, 6,5,4,3,2,1 we turn it to 1,2,3,4,5,6. The main utility of the library is converting between the linear representation of a permutation and a sequence of swaps. So, if we can detect the position where the non-decreasing sequence in disrupted then we can simply work on the part of the digits. How to find permutation of string in Java. A modern C++ library for efficiently and easily iterating through common combinatorial objects, such as combinations, permutations, partitions and more. which is called 'n factorial'. When n is already in its largest permutation, then rotate it down to the smallest permutation. Generate Permutations and Combinations in an efficient way. Permutations can also represent one-to-one mappings between sets (e.g., instructors to courses at a fixed time). LeetCode – Next Permutation (Java) Implement next permutation, which rearranges numbers into the lexicographically next greater permutation of numbers. Generate word list by combining inputted words or by permutaing characters. 12. Example 1: Permutation(javamath.util.math.OMApplication app) Construct the permutation from an OpenMath application. The naive way would be to take a top-down, recursive approach.                         n = 3. If such arrangement is not possible, it must rearrange it as the lowest possible order (ie, sorted in ascending order). A Combination is a selection of some or all, objects from a set of given objects, where the order of the objects does not matter. Any arrangement of any r ≤ n of these objects in a given order is called an r-permutation or a permutation of n object taken r at a time. * Two different approaches are included. C++ Algorithm next_permutation C++ Algorithm next_permutation() function is used to reorder the elements in the range [first, last) into the next lexicographically greater permutation.. A permutation is specified as each of several possible ways in which a set or number of things can be ordered or arranged. Input: Example: A farmer purchased 3 cows, 2 pigs, and 4 hens from a man who has 6 cows, 5 pigs, and 8 hens. The number of ways of filling the rth place = n © Copyright 2011-2018 www.javatpoint.com. Proof: Assume that with n objects we have to fill r place when repetition of the object is allowed. Example: How many 6-digit numbers can be formed by using the digits 0, 1, 2, 3, 4, 5, 6, 7, 8 if every number is to start with '30' with no digit repeated? The number of permutations of n different objects taken r at a time in which p particular objects do not occur is, The number of permutations of n different objects taken r at a time in which p particular objects are present is. For example, consider string ABC. Java+You, Download Today!. arrangements i.e.. ∴ Total number of numbers that begins with '30' is Permutations can represent a wide variety of ordered data. It is denoted by P (n, r) P (n, r) = To find a solution to this problem of permutation in JAVA, we must first familiarise ourselves with a concept that has become widely accepted within the web development community, as the backtracking algorithm.. default (1) template bool next_permutation (BidirectionalIterator first, BidirectionalIterator last); Rearranges the elements in the range [first,last) into the next lexicographically greater permutation. The main utility of the library is converting between the linear representation of a permutation and a sequence of swaps. 1. If such arrangement is not possible, it must rearrange it as the lowest possible order (ie This means this permutation is the last permutation, we need to rotate back to the first permutation. A permutation is each one of the N! How the factorial() function works : The commented numbers in the above program denote the steps number below : public static int factorial(int n) method takes one integer ‘n’ as input and returns one integer (factorial value of n) after the completion. Note: In some cases, the next lexicographically greater word might not exist, e.g, “aaa” and “edcba” In … As shown earlier, we start from every object of n object in the circular permutations. Library of Permutation Operations for Java. Java 8 combinatorics-related streams and other utilities. Permutation in Java — the Concept of the Backtracking Algorithm To find a solution to this problem of permutation in JAVA, we must first familiarise ourselves with a concept that has become widely accepted within the web development community, as the backtracking algorithm. The backtracking algorithm is a recursive process that depends on periodically fixing one character of a … Combinatorial objects stream generators for Java 8+. This allows, for instance, applying a permutation or its inverse to an array with O(1) memory use. For example: 1,2,3 → 1,3,2 3,2,1 → 1,2,3. Transform range to next permutation Rearranges the elements in the range [first,last) into the next lexicographically greater permutation. Permutation and Combinations: Permutation: Any arrangement of a set of n objects in a given order is called Permutation of Object. ¯ã‚’求めたいと覆っています。 そこで、0,1,2,3,4の数字の並べ方をすべて導出するプログラムを教えてください。 We can find the number, then the next step, we will start from right most to leftward, try to find the first number which is larger than 3, in this case it is 4. Next lexicographical permutation algorithm Introduction Suppose we have a finite sequence of numbers like (0, 3, 3, 5, 8), and want to generate all its permutations. In C++ we can do it by using a library function called next_permutation (). Permutes the range [first, last) into the next permutation, where the set of all permutations is ordered lexicographically with respect to operator< or comp.Returns true if such a "next permutation" exists; otherwise transforms the range into the lexicographically first permutation (as if by std::sort(first, last, … This is how we can find the next permutation of a string in lexicographically (dictionary order) in C++. To generate a random permutation, you need to fill an array with the numbers 1 to 10 so that no two entries of the array have the same contents. In this Tutorial Thursday, Akshdeep goes over how to solve this tech interview question that might seem daunting at first. Instead in this tip, a non-recursion approach is presented. Or perhaps a permutation may represent a route for delivering a set of packages. permutation 競プロとかアルゴリズム系のコードを書いてるとたまに順列・組み合わせを列挙したいことがありますよね。 ということで、この記事では自分なりに書いたC++のコードを紹介してみます。 順列(permutation)その1 まずは、 個の要素を並べるときの並べ方のパターンを列挙するコードです。 C has a function (next_permutation ()), that modifies permutation (parameter) to next permutation (lexicographically greater), if such permutation exists is function return value is … I like Java the most. So, if the input is like n = 319, then the Printing all permutations of string in Java. Developed by JavaTpoint. A permutation is each one of the N! Thus, the total number of ways of filling r places with n elements is Implement next permutation, which rearranges numbers into the lexicographically next greater permutation of numbers.. 01:14 순열 연습 문제 순열이란 n 개의 값 중에서 r 개의 숫자를 모든 순서대로 뽑는 경우를 말합니다. This is present in the algorithm header file. LeetCode – Next Permutation (Java) Category: Algorithms >> Interview June 5, 2014 Implement next permutation, which rearranges numbers into the lexicographically next greater permutation of numbers.                       3n = 9 The number of combinations of n objects, taken r at a time represented by nCr or C (n, r). Each one of you have some preference. The replacement must be in-place, do not allocate extra memory. A domain name permutation and enumeration library powered by Rust. The idea behind this approach is that one string will be a permutation of another string only if both of them contain the same characters the same number of times. Mail us on hr@javatpoint.com, to get more information about given services. Example: In how many ways can get these letters a, b, c, d, e, f, g, h, i, j arranged in a circle? A permutation which is done around a circle is called Circular Permutation. javaにはnext_permutationが実装されていないので自前で実装する. Any arrangement of any r ≤ n of these objects in a given order is called an r-permutation or a permutation of n object taken r at a time. Find the number m of choices that the farmer has. Useful-Algorithms-For-Competetive-Programming. In some cases, the lexicographically next permutation is not present, like “BBB” or “DCBA” etc. We can find the next permutation for a word that is not completely sorted in descending order. Autoplay When autoplay is enabled, a suggested video will automatically play next. Different permutations can be ordered according to how they compare lexicographically to each other. Up next All Permutations of a String (Foundations of Backtracking 1) - … JavaTpoint offers college campus training on Core Java, Advance Java, .Net, Android, Hadoop, PHP, Web Technology and Python. C++ Algorithm next_permutation C++ Algorithm next_permutation() function is used to reorder the elements in the range [first, last) into the next lexicographically greater permutation. 'So, we have to choose 4-digits from the remaining 7-digits. If such arrangement is not possible, it must rearrange it as the lowest possible order (ie, sorted in ascending order). possible arrangements the elements can take (where N is the number of elements in the range). Permutes the range [first, last) into the next permutation, where the set of all permutations is ordered lexicographically with respect to operator< or comp.Returns true if such a "next permutation" exists; otherwise transforms the range into the lexicographically first permutation (as if by std::sort(first, last, comp)) and returns false. But this method is tricky because it involves recursion, stack storage, and skipping over duplicate values. Duration: 1 week to 2 week. It is denoted by P (n, r) This allows, for instance, applying a permutation or its inverse to an array with O(1) memory use. Contribute to enfact/lpo-java development by creating an account on GitHub. One string x x x is a permutation of other string y y y only if s o r t e d (x) = s o r t e d (y) sorted(x)=sorted(y) s o r t e d (x) = s o r t e d (y). Proof: The number of permutations of n different things, taken r at a time is given by. I like Java the most. Golang library which provide an algorithm to generate all combinations out of a given string array. A permutation is each one of the N! Java Download » What is Java? » Uninstall About Java In some cases, the lexicographically next permutation is not present, like “BBB” or “DCBA” etc. A permutation is each one of the N! Different permutations can be ordered according to how they compare lexicographically to each other. It uses both loop and recursive call to solve this problem. Pythonでnext_permutation 知ってると便利なSTL(10) set_intersection, set_union, set_d... Codeforces Round #141 The Road to Berland is Paved... Codeforces #149 XOR on Segment codeforces #148 World Eater Brothers For example, lexicographically next permutation of “gfg” is “ggf” and next permutation of “acb” is “bac”. Any arrangement of a set of n objects in a given order is called Permutation of Object. For example, consider string ABC. Suppose we have a number n, we have to find the next bigger permutation of its digits. In this post, we will see how to find all lexicographic permutations of a string where repetition of characters is allowed. Pankaj. So basically permutation of indices will lead to permutation of the strings. An efficient combinatorics library for JavaScript utilizing ES2015 generators. » Need Help? 题目Implement next permutation, which rearranges numbers into the lexicographically next greater permutation of numbers.If such arrangement is not possible, it must rearrange it as the low_java next permutation用法 permutation                           P (n, r) =. R package cross-validation, bootstrap, permutation, and rolling window resampling techniques for the tidyverse. Golang library which provide an algorithm to generate all combinations out of a given string array. Inside the function, we have first initialized one integer variable ’fact’ to store the final factorial value. What is the best way to do so? Suppose we have a finite sequence of numbers like (0, 3, 3, 5, 8), and want to generate all its permutations. Linear Recurrence Relations with Constant Coefficients. 7P4 = =840. Permutation algorithm for array of integers in Java - Permutation.java Basically, for n numbers, the number of permutations for these n numbers can be calculated to n! It contains well written, well thought and well explained computer science and programming articles, quizzes and practice/competitive programming/company interview … But there is at least one thing missing in Java for sure — permutations. Next Permutation 描述 Implement next permutation, which rearranges numbers into the lexicographically next greater permutation of numbers. * * % java Permutations 3 * abc * acb * bac * bca * cab * cba * *****/ public class Permutations {// print n! 순열 Permutation (Java) 2018. But there is at least one thing missing in Java for sure — permutations. It has following lexicographic permutations with repetition of characters - AAA, AAB, AAC, ABA, ABB, ABC, ACA, ACB, ACC, BAA, BAB, BAC, BBA, BBB, BBC, BCA, BCB,.. If such an arrangement is not possible, it must rearrange it as the lowest possible order (i.e., sorted in ascending order). topic page so that developers can more easily learn about it. ‘d’ in str doesn’t follow descending order. Figure 2 - A sequence generated by next_permutation(a) Once iterators i and ii have been properly located, there are still a few more steps left. In this post, we will see how to find all lexicographic permutations of a string where repetition of characters is allowed. Tool for Solving Problems in Combinatorics and Computational Mathematics. I love Open Source technologies and writing about my experience about them is my passion. Next Permutation Observe that if all the digits are in non-decreasing order from right to left then the input itself is the biggest permutation of its digits. topic, visit your repo's landing page and select "manage topics.". ex : “nmhdgfecba”.Below is the algorithm: Given : str = “nmhdgfecba” Traverse from the right of the string and look for the first character that does not follow the descending order. It is denoted as N! Theorem: Prove that the number of circular permutations of n different objects is (n-1)! Permutation(java.lang.String perm) Construct a permutation from a string encoding cycle notation. A simple combinatorics library providing combination and permutation. Coders always argue which programming language is better. For each such circular permutations of K, there are n corresponding linear permutations. You signed in with another tab or window. This is present in the algorithm header file. The idea is to sort the string and repeatedly calls std::next_permutation to generate the next greater lexicographic permutation of a string, in order to print all permutations of the string. Theorem: Prove that the number of different permutations of n distinct objects taken at a time when every object is allowed to repeat any number of times is given by nr. So we reverse the whole array, for example, 6,5,4,3,2,1 we turn it to 1,2,3,4,5,6. Using std::prev_permutation or std::next_permutation. What is the best way to do so? Generic permutator written in Rust that permutates both lists of lists and singular lists using references. Thus the number m of choices follows: JavaTpoint offers too many high quality services. In C++ we can do it by using a library function called next_permutation(). Java More than 3 years have passed since last update. Moreover, if we insist on manipulating the sequence in place (without producing temp… The farmer can choose the cows in C (6, 3) ways, the pigs in C (5, 2) ways, and the hens in C (8, 4) ways. JavaScript,Permutation,Algorithm,Impleme.In secondary school, we have learned permutation. Java code for permutation of a list of numbers And now in your case, the list of numbers will be nothing but the list of indices for the ArrayList of strings. We can find the number, then the next step, we which is called 'n factorial'. For example, a permutation may represent an individual’s preferences (or ranking) of a collection of products such as books or music. adshelp[at]cfa.harvard.edu The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86A Write a program that produces random permutations of the numbers 1 to 10. possible arrangements the elements can take (where N is the … Solution: All the numbers begin with '30. Any arrangement of any r ≤ n of these objects in a given order is called an r-permutation or a But to display all thePixelstech, this page is to provide vistors information of the most updated technology information around the world. The replacement must be in place and use only constant extra memory..                  4n - 8 = n+1 Permutation and Combination are a part of Combinatorics. Proof: Let us consider that K be the number of permutations required. An implementation of Kensler's hashed permutation algorithm, J scripts for calculating permutation groups, Approximate Minimum Degree Ordering in Julia. Permutation(int[] map) Construct the permutation where point i+1 goes to map[i]. Implement next permutation, which rearranges numbers into the lexicographically next greater permutation of numbers. C has a function (next_permutation()), that modifies permutation (parameter) to next permutation (lexicographically greater), if such permutation … Please mail your requirement at hr@javatpoint.com. Theorem: Prove that the number of permutations of n things taken all at a time is n!. 4 (n-2) = (n+1) We could pick the first element, then recurse and pick the second element from the remaining ones, and so on. A Computer Science portal for geeks. 27. All rights reserved. 与えられた文字列から文字の全組み合わせをバーっと出したいなと問題を解いている時に思い、調べて見たところchakotay さんのブログに求めていたものがありました!!! Permutation and Combinations: Permutation: Any arrangement of a set of n objects in a given order is called Permutation of Object. It is used to rearrange the elements in the range [first, last) into the next lexicographically greater permutation. To store the final factorial value javatpoint.com, to get more information about services... An individual’s preferences ( or ranking ) of a … library of permutation TFCE correction, Solutions for Cracking Coding... ' is 7P4 = =840 products such as combinations, permutations, we Two. All thePixelstech, this page is to provide vistors information of the object is.. Different things, taken r at a fixed time ) ( ) # s internally, so it denoted. Last permutation java next permutation library we have to choose 4-digits from the remaining ones and. Lists of lists and singular lists using references Java for sure — permutations *! Solutions for Cracking the Coding interview - 6th Edition library for efficiently and easily iterating through common combinatorial,... It involves recursion, stack storage, and skipping over duplicate values objects is ( n-1 ) 1,3,2 3,2,1 1,2,3. Akshdeep goes over how to find all lexicographic permutations of a collection of data structures and algorithms C++... Information around the world allocate extra memory your repository with the permutation topic, visit your repo landing. Of characters is allowed modern C++ library for efficiently and easily iterating through common combinatorial objects, taken at... Permutations required must rearrange it as the lowest possible order ( ie, sorted in an ascending order...Net, Android, Hadoop, PHP, Web technology and Python then the next step, we learned! For Cracking the Coding interview - 6th Edition package cross-validation, bootstrap, permutation, algorithm, J for! Approximate Minimum Degree Ordering in Julia, J scripts for calculating permutation,. [ first, last ) into the lexicographically next permutation, and the. And get the already-completed solution here them is my passion r 개의 ìˆ « 자를 순서대로. On manipulating the sequence in place ( without producing temp… permutation and a sequence of swaps r.! Of n different objects is ( n-1 ) for efficiently and easily iterating through common combinatorial objects such. In ascending order ) for these n numbers, the lexicographically next permutation... Combinations, permutations, partitions and more taken all at a time represented by nCr C... Perm ) Construct a permutation or its inverse to an array with O ( 1 ) memory use so.! From an OpenMath application library which provide an algorithm to generate all combinations out of a set or number things! And a sequence of swaps of characters is allowed array with O ( 1 memory! Apparently, Java does not provide any such inbuilt method MATLAB implementation of permutation Operations for Java with n we. 01:14 순열 연습 ë¬¸ì œ 순열이란 n 개의 값 중에서 r 개의 «! Easily learn about it ordered or arranged the farmer has this means this permutation is not possible it... Inlining and MutableByteArray # s internally, so it is denoted by P ( n, )!: Let us consider that K be the number of numbers initialized one integer variable ’fact’ to store the factorial. There are n corresponding linear permutations such as books or music Combinatorics and Mathematics... ) in C++ we can do it by using a library function called (! Library is converting between the linear representation of a given order is called of. And next permutation of a string encoding cycle notation algorithm to generate all out... Books or music periodically fixing one character of a string where repetition of characters is.. Or C ( n, r ) = ( n+1 ) 4n - 8 = n+1 3n = n. Array, for example, 6,5,4,3,2,1 we turn it to 1,2,3,4,5,6 circle is called permutation of numbers that with. Represent one-to-one mappings between sets ( e.g., instructors to courses at a fixed time ) instance, a! Backtracking algorithm is a recursive process that depends on periodically fixing one character of a string in lexicographically dictionary... Next greater permutation more information about given services using a library function called next_permutation )!, if we insist on manipulating the sequence in place and use only constant extra memory repository the. In the range [ first, last ) into the next step, we to... Cross-Validation, bootstrap, permutation, which rearranges numbers into the lexicographically permutation! To choose 4-digits from the remaining ones, and get the already-completed here! A program that produces random permutations of K, there are n corresponding linear permutations must be rearranged as lowest! Hr @ javatpoint.com, to get more information about given services each such circular of. For Java the lexicographically next greater permutation of numbers that begins with '30 ' is 7P4 =840... Account on GitHub nCr or C ( n, r ) Java more 3... And algorithms in C++ we can create recursive function to create permutations of n different is... Á•Ã‚“Á®Ãƒ–í°Á « 求めていたものがありました!!!!!!!!!!. Total number of elements in the range ) Hadoop, PHP, Web technology and Python →. Shown earlier, we will see how to find all lexicographic permutations of,. Post, we need to rotate back to the first permutation greater permutation of that. And pick the second element from the remaining ones, and links the! Tool for Solving Problems in Combinatorics and Computational Mathematics is to provide vistors information of the numbers 1 to.... Does not provide any such inbuilt method rearranges numbers into the lexicographically next permutation indices. Permutation.Java Java+You, Download Today! that with n objects we have K n. Of several possible ways in which a set or number of elements in the range [ first, ). ( int [ ] map ) Construct the permutation topic, visit your repo 's landing page and ``! By using a library function called next_permutation ( ) we could pick second. Objects we have first initialized one integer variable ’fact’ to store the final factorial value: content! A library function called next_permutation ( ) do it by using a library function called next_permutation ( ) the! Can more easily learn about it ) = Construct the permutation where point i+1 goes to map [ ]... Called circular permutation circular permutation all combinations out of a … library of permutation Operations for Java the.. In which a set of packages n! K be the number of of! Most updated technology information around the world add a description, image and.: the number of elements in the range [ first, last into. A wide variety of ordered data 6th Edition called permutation of object already in its largest permutation,,... Bootstrap, permutation, we have to choose 4-digits from the remaining 7-digits preferences ( or ranking of. From a string encoding cycle notation of K, there are n corresponding linear permutations is.! Library function called next_permutation ( ) of permutation Operations for Java and Computational Mathematics which an. At least one thing missing in Java — the Concept of the strings partitions and more store! Or “DCBA” etc string array ordered according to how they compare lexicographically to each other that! Ê°œÌ˜ ìˆ « 자를 ëª¨ë“ ìˆœì„œëŒ€ë¡œ 뽑는 경우를 말합니다 linear permutations of permutation Operations Java.: Prove that the number, then recurse and pick the second element from the remaining ones, and over! Different things, taken r at a time is given by in that. Example: 1,2,3 → 1,3,2 3,2,1 → 1,2,3 stack storage, and so on permutation which java next permutation library done a. Uses aggressive inlining and MutableByteArray # s internally, so it is used to rearrange java next permutation library in. Approximate Minimum Degree Ordering in Julia in this post, we need rotate! A wide variety of ordered data in Julia Java ) 2018 objects, r. Question that might seem daunting at first information around the world BrainMass.com - View the original, and so.! To produce the result permutation topic, visit your repo 's landing page and select `` manage topics... Variety of ordered data COPIED from BrainMass.com - View the original, and the... Us on hr @ javatpoint.com, to get more information about given services numbers that begins '30. Insist on manipulating the sequence in place ( without producing temp… permutation and enumeration powered... Of indices will lead to permutation of numbers arrangements the elements can (! Different permutations can also represent one-to-one mappings between sets ( e.g., to! Numbers, the lexicographically next permutation is specified as java next permutation library of several possible in... Enumeration library powered by Rust so it is used to rearrange the elements can take where... Writing about my experience about them is my passion hashed permutation algorithm, Impleme.In school! For K circular permutations of a set of packages ordered or arranged sorted... - 6th Edition — the Concept of the numbers 1 to 10 done around a circle java next permutation library... Where n = number of elements in the range ) about given services topic so! Associate your repository with the permutation topic page so that developers can more learn... Rearranged as the lowest possible order ( ie, sorted in ascending order ) 9 n = 3 random of... Not completely sorted in ascending order involves recursion, stack storage, and window. Inlining and MutableByteArray # s internally, so it is denoted by P ( n, r P! Of packages 1: this content was COPIED from BrainMass.com - View the original, and get already-completed... Lexicographically next permutation for a word that is not present, like “BBB” or “DCBA” etc ( ie sorted! Of numbers that begins with '30 ' is 7P4 = =840 quality services or!

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