Problem 1106. I've got the power! (Inspired by Project Euler problem 29)

Created by James

Solve Later

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.

Solve

Solution Stats

207 Solutions
79 Solvers

Last Solution submitted on Apr 06, 2020

Last 200 Solutions

Problem Comments

3 Comments

3 Comments

@bmtran (Bryant Tran) on 7 Dec 2012

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).

James on 7 Dec 2012

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.

@bmtran (Bryant Tran) on 7 Dec 2012

thanks James!

Solution Comments

Solution 174561

1 Comment

1 Comment

Baalzamon on 14 Dec 2012

Nice! What I do like about cody is that it introduces ppl to commands they may not normally use! I in effect 'hand made' a reshaped vector that I could have used this awesome function for o_O

Problem Recent Solvers79

Problem Tags

powers projecteuler snap!

Problem 1106. I've got the power! (Inspired by Project Euler problem 29)

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers79

Suggested Problems

More from this Author80

Problem Tags

Problem 1106. I've got the power! (Inspired by Project Euler problem 29)

Solution Stats

Last 200 Solutions

Problem Comments

Solution Comments

Problem Recent Solvers79

Suggested Problems

More from this Author80

Problem Tags

Players