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Problem29.py

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+#ProjectEuler/Python/Problem29.py
+#Matthew Ellison
+# Created: 10-10-19
+#Modified: 10-10-19
+#How many distinct terms are in the sequence generated by a^b for 2 <= a <= 100 and 2 <= b <= 100?
+#Unless otherwise listed, all of my non-standard imports can be gotten from my pyClasses repository at https://bitbucket.org/Mattrixwv/pyClasses
+"""
+	Copyright (C) 2019  Matthew Ellison
+
+	This program is free software: you can redistribute it and/or modify
+	it under the terms of the GNU Lesser General Public License as published by
+	the Free Software Foundation, either version 3 of the License, or
+	(at your option) any later version.
+
+	This program is distributed in the hope that it will be useful,
+	but WITHOUT ANY WARRANTY; without even the implied warranty of
+	MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+	GNU Lesser General Public License for more details.
+
+	You should have received a copy of the GNU Lesser General Public License
+	along with this program.  If not, see <https://www.gnu.org/licenses/>.
+"""
+
+
+from Stopwatch import Stopwatch
+
+
+#Setup the variables
+__BOTTOM_A = 2	#The lowest possible value for A
+__TOP_A = 100	#The highest possible value for A
+__BOTTOM_B = 2	#The lowest possible value for B
+__TOP_B = 100	#The highest possible value for B
+
+
+def Problem29():
+	unique = []	#This will hold all of the unique answers
+
+	#Start with the first A and move towards the top
+	for currentA in range(__BOTTOM_A, __TOP_A + 1):
+		#Start with the first B and move towards the top
+		for currentB in range(__BOTTOM_B, __TOP_B + 1):
+			#Get the new number
+			currentNum = currentA ** currentB
+			#If the new number isn't in the list add it
+			if currentNum not in unique:
+				unique.append(currentNum)
+
+	#Print the results
+	print("The number of unique values generated by a^b for " + str(__BOTTOM_A) + " <= a < = " + str(__TOP_A) + " and " + str(__BOTTOM_B) + " <= b <= " + str(__TOP_B) + " is " + str(len(unique)))
+
+#This calls the appropriate functions if the script is called stand alone
+if __name__ == "__main__":
+	timer = Stopwatch()
+	timer.start()
+	Problem29()
+	timer.stop()
+	print("It took " + timer.getString() + " to run this algorithm")
+
+""" Results:
+The number of unique values generated by a^b for 2 <= a < = 100 and 2 <= b <= 100 is 9183
+It took 304.630 milliseconds to run this algorithm
+"""