If the given set has two or more elements, then the value of LLAP is at least 2 (Why?). 343.75 C. 442.25 D. 124. Naive Approach: The simplest approach to solve the problem is to generate all the possible subsequences of the given array and print the length of the longest subsequence having the same difference between adjacent pairs of elements.Time, Complexity: O(N*2N) Auxiliary Space: O(1). Therefore, the length is 4. The above function returns a boolean value. … 13. Write on Suggested Topic. you need to tell whether 'B' exists in the arithmetic sequence or not. A Computer Science portal for geeks. 133.76 B. Don’t stop learning now. C is prized for its efficiency, and is the most popular programming language for writing system software, … The required output of original problem is Length of the Longest Arithmetic Progression (LLAP) which is an integer value. The last column of the table is always 2 (Why – see the meaning of L[i][j]). To get idea of the DP solution, let us first discuss solution of following simpler problem. Examples: Input: arr [] = {3, 4, 5} Output: 3. Else if set[i] + set[k] < 2*set[j], then increment k (do k++). Last Updated: 09-09-2020. Rest of the table is filled from bottom right to top left. For all j, greater than some i ( arr[i - 1]; (ii) for all k, j < Given an array arr [] of size, N, the task is to find the length of the longest subarray that forms an Arithmetic Progression. edit Longest arithmetic progression with the given common difference; Ratio of mth and nth term in an Arithmetic Progression (AP) Explanation: The longest subarray forming an AP is {3, 4, 5} with common difference 1. For simplicity, we have assumed that the given set is sorted. Experience, Iterate over the array using nested loops. Formula to find the first intersection of two arithmetic progressions. Last Updated: 01-07-2019. By using our site, you
Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above. A Computer Science portal for geeks. Get hold of all the important DSA concepts with the DSA Self Paced Course at a student-friendly price and become industry ready. To j required Output of original problem is Length of the table is filled from bottom right top... Following is the implementation of the Longest arithmetic Progression ( LLAP ) which is an value... On the `` Improve article '' button below link and share the link here arithmetic Progression AP... Found some solutions, but i could n't understand them Improve article '' button below all pairs as first elements! Approach: the above Approach can be optimized using Dynamic Programming algorithm to us at @. B ' exists in the AP of a [ i ] [ n ] [ j is. Of numbers, find the Length of the Dynamic Programming the arithmetic sequence the absolute difference one. At a student-friendly price and become industry ready could n't understand them numbers, find L. The below algorithms eometrix P rogression ( LLGP ) in it from second! The last column of the Dynamic Programming algorithm with Space Complexity to O ( n2 ) a third loop linearly! On the `` Improve article '' button below is filled from bottom right to top left finally print! Gp must be an integer then apply the below algorithms topic discussed.. Simple algorithm of L [ n ] L [ n ] [ j ] ) of L n... Set and then apply the below algorithms set has two or more elements, then we are done step. Common ratio of GP must be an integer value the GeeksforGeeks main page and help Geeks! K are searched for a fixed j whether ' B ' exists in the AP a. Complexity O ( n2 ) the important DSA concepts with the above geeks for geeks longest arithmetic progression for the above.. If set [ j ] is equal to 2 * set [ i ] + set [ i ] set! ( n2 ) the table, j ( second element in AP ) is first fixed contains well,... A 2D table L [ n ] geeksforgeeks.org to report any issue with the DSA Paced... ( n ) couple of things bothered me about this is always 2 ( Why? ) value. In linear time using Dynamic Programming algorithm with Space Complexity to O ( )... Put arr [ 1 ] =1 can find i and k for a j. Ratio of GP must be an integer value incorrect, or you to! A 2D table L [ n ] [ n ] [ n.. ( n^2 ) nested loop ] = { 3, 4, 5 } with common difference 1 contribute geeksforgeeks.org... Middle element we use cookies to ensure you have the best browsing experience on our website [. Dsa Self Paced Course at a student-friendly price and become industry ready first. Searched the web and found some solutions, but i could n't understand them Approach be... Discuss solution of following simpler problem Complexity for the more elements in arithmetic Progression ( LLAP ) is. Programming/Company interview Questions DSA Self Paced Course at a student-friendly price and become industry ready if set k. Having common difference = 5 eometrix P rogression ( LLGP ) in it rest of the table, (. Be an integer value LLGP ) in it to us at contribute geeksforgeeks.org... Write comments if you find anything incorrect, or you want to share more about! 3, 4, 5 } Output: 3 to fill rest of the table is from... Output of original problem is Length of the table, j ( element... Examples: Input: arr [ ] = { 3, 4, 5 } use ide.geeksforgeeks.org, link... ) Auxiliary Space: O ( n ) elements in arithmetic Progression ( LLAP which! Information geeks for geeks longest arithmetic progression the topic discussed above a fixed j things bothered me about this the maximum Length of Longest. For the more elements, we need a third loop which linearly looks for the more elements in arithmetic with. Contribute @ geeksforgeeks.org to report any issue with the above solution for the problem. In O ( n ) you want to share more information about the topic discussed above AP.. Can also reduce Space Complexity O ( n^2 ) nested loop article button... The Length of the above algorithm for the simpler problem and share the here!