Solution to problem 31 in Julia

src/Julia/Problem031.jl

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+#=
+Created on 27 Aug 2021
+
+@author: David Doblas Jiménez
+@email: daviddoji@pm.me
+
+Solution for Problem 31 of Project Euler
+https://projecteuler.net/problem=31
+=#
+
+using BenchmarkTools
+using IterTools
+
+function Problem31()
+    #=
+    In the United Kingdom the currency is made up of pound (£) and pence (p).
+    There are eight coins in general circulation:
+
+        1p, 2p, 5p, 10p, 20p, 50p, £1 (100p), and £2 (200p).
+
+    It is possible to make £2 in the following way:
+
+        1×£1 + 1×50p + 2×20p + 1×5p + 1×2p + 3×1p
+
+    How many different ways can £2 be made using any number of coins?
+    =#
+    no_ways = 0
+
+    coins = [2, 5, 10, 20, 50, 100]
+
+    bunch_of_coins = product([0:i:200 for i in coins]...)
+    for money in bunch_of_coins
+        if sum(money) <= 200
+            no_ways += 1
+        end
+    end
+    # consider also the case for 200 coins of 1p
+    return no_ways + 1
+end
+
+
+println("Time to evaluate Problem 31:")
+@btime Problem31()
+println("")
+println("Result for Problem 31: ", Problem31())