Problem 1106. I've got the power! (Inspired by Project Euler problem 29)
Consider all integer combinations of a^b and b^a for the integer values 2 ≤ a ≤ 4 and 2 ≤ b ≤ 5:
2^2=4, 2^3=8, 2^4=16, 2^5=32 3^2=9, 3^3=27, 3^4=81, 3^5=243 4^2=16, 4^3=64, 4^4=256, 4^5=1024 5^2=25, 5^3=125, 5^4=625
If they are then placed in numerical order, with any repeats removed, we get the following sequence of 14 distinct terms:
4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024
Given two values for x and y, find the unique, sorted sequence given by the values a^b and b^a for 2≤a≤x and 2≤b≤y.
Solution Stats
Problem Comments
-
3 Comments
What your problem description asks for and what your test suite asks for are different. Specifically, test case 4 requires that the operation be commutative, which, by your problem statement, it is not (since the power function itself is not commutative). This is reflected in the other test cases as well. (also, you call your arguments x and y in the description and a and b in the template).
You are correct. I had the "and b^a" in there originally, but I accidentally deleted it when I added the "for 2≤a≤x and 2≤b≤y" text. It's fixed now, and the description should be a bit clearer.
thanks James!
Solution Comments
Show commentsProblem Recent Solvers115
Suggested Problems
-
Replace NaNs with the number that appears to its left in the row.
2919 Solvers
-
253 Solvers
-
Remove the two elements next to NaN value
642 Solvers
-
Test if two numbers have the same digits
239 Solvers
-
Find out missing number from a vector of 9 elements
290 Solvers
More from this Author80
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!