![]() so onįrom the table, there is a pattern emerging in multiples of 4, both in the table as well as in the group parameter. For example, to get set bits in 10, it can be extracted from row named as 8 and column named as 2),Ģ8 - 3, 4, 4, 5 - GROUP_A(3). The mathematical derivation behind meta program is evident from the following table (Add the column and row indices to get the number, then look into the table to get set bits in that number. A meta program using C/C++ preprocessor generates the look up table for counting set bits in a byte. The idea is to generate a look up for first 256 numbers (one byte), and break every element of array at byte boundary. The following code illustrates simple program to count set bits in a randomly generated 64 K integer array. Storing table look up that can handle 2 32 integers will be impractical. However, a table look up will be more efficient method when array size is large. Overall, the bits in array can be computed in O(n) time, where ‘n’ is array size. Note that on a processor N is fixed, count can be done in O(1) time on 32 bit machine irrespective of total set bits. These methods run at best O(logN) where N is number of bits. Various methods of counting set bits of an integer exists, see this for example. The simple approach would be, create an efficient method to count set bits in a word (most prominent size, usually equal to bit length of processor), and add bits from individual elements of array. How to count number of set bits in the array? Given an integer array of length N (an arbitrarily large number). Software Engineering Interview Questions.Top 10 System Design Interview Questions and Answers.Top 20 Puzzles Commonly Asked During SDE Interviews.Commonly Asked Data Structure Interview Questions.Top 10 algorithms in Interview Questions.Top 20 Dynamic Programming Interview Questions.Top 20 Hashing Technique based Interview Questions.Top 50 Dynamic Programming (DP) Problems.Top 20 Greedy Algorithms Interview Questions.Top 100 DSA Interview Questions Topic-wise.
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