1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
|
-- Consider all integer combinations of a^b for 2 ≤ a ≤ 5 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, 5^5=3125
-- If they are then placed in numerical order, with any repeats removed,
-- we get the following sequence of 15 distinct terms:
--
-- 4, 8, 9, 16, 25, 27, 32, 64, 81, 125, 243, 256, 625, 1024, 3125
--
-- How many distinct terms are in the sequence generated by ab for 2 ≤ a ≤ 100 and 2 ≤ b ≤ 100?
import Data.List (nub)
main = print (length $ nub [a ^ b | a <- [2..100], b <- [2..100]])
|
