One possible approach using the divide and conquer method with a time complexity of O(N log N) to determine the greatest discrepancy among sixteen-digit binary numbers ranging from 1 to less than 10^5 is as follows:
The main idea behind this algorithm is to exploit the properties of binary numbers, which have a fixed length of 16 digits, to reduce the search space and avoid redundant computations. By dividing the range of numbers into smaller sub-ranges, we can compute the discrepancies independently and combine them efficiently, using logarithmic time for each recursive step. The final result is then obtained by comparing the discrepancies found in each sub-range, selecting the highest one. This approach is effective for larger data sets and can be extended to other domains, such as text search or numerical optimization.
Asked: 2022-04-28 11:00:00 +0000
Seen: 11 times
Last updated: Jul 03 '21