Solution to problem 29 in Julia

src/Julia/Problem029.jl

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+#=
+Created on 23 Aug 2021
+
+@author: David Doblas Jiménez
+@email: daviddoji@pm.me
+
+Solution for Problem 29 of Project Euler
+https://projecteuler.net/problem=29
+=#
+
+using BenchmarkTools
+
+function Problem29()
+    #=
+    Consider all integer combinations of ab 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?
+    =#
+    terms = Set(big(a)^b for a in 2:100, b in 2:100)
+    return length(terms)
+end
+
+
+println("Time to evaluate Problem 29:")
+@btime Problem29()
+println("")
+println("Result for Problem 29: ", Problem29())