Problem 42834. Integer complexity (Large numbers)
Inspired by Problem 42831, this problem aims to calculate the integer complexity for large numbers. The integer complexity of a natural number n is defined as the least number of 1’s required to express n using only the two operations + and × and parentheses.
Example: the number 11 may be represented using 8 ones:
11 = (1 + 1 + 1) × (1 + 1 + 1) + 1 + 1.
However, it has no representation using 7 or fewer ones. Therefore, its complexity is 8.
Your solution will be scored based on its running time. No cheating please.
Solution Stats
Problem Comments
Solution Comments
Show commentsProblem Recent Solvers20
Suggested Problems
-
Find the longest sequence of 1's in a binary sequence.
5869 Solvers
-
2164 Solvers
-
2175 Solvers
-
607 Solvers
-
Return a list sorted by number of consecutive occurrences
352 Solvers
More from this Author29
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!