#Project Euler/Python/Problem16.py
#Matthew Ellison
# Created: 02-03-19
#Modified: 03-28-19
#What is the sum of the digits of the number 2^1000?
#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 Problems.Problem import Problem
from Stopwatch import Stopwatch
from Unsolved import Unsolved


class Problem16(Problem):
	#Variables
	__numToPower = 2	#The number that is going to be raised to a power
	__power = 1000		#The power that the number is going to be raised to

	#Functions
	#Constructor
	def __init__(self):
		super().__init__("What is the sum of the digits of the number 2^1000?")
		self.num = 0
		self.sumOfElements = 0

	#Operational functions
	#Solve the problem
	def solve(self):
		#If the problem has already been solved do nothing and end the function
		if(self.solved):
			return

		#Start the timer
		self.timer.start()

		#Get the number
		self.num = self.__numToPower ** self.__power
		#Change the number to a string
		stringOfNum = str(self.num)
		#Step through the string one element at a time
		for cnt in range(0, len(stringOfNum)):
			#Change the character to an int and add it to the sum
			self.sumOfElements += int(stringOfNum[cnt])

		#Stop the timer
		self.timer.stop()

		#Save the result
		self.result = str(self.__numToPower) + "^" + str(self.__power) + " = " + stringOfNum + "\nThe sum of the elements is " + str(self.sumOfElements)

		#Throw a flag to show the problem is solved
		self.solved = True
	#Reset the problem so it can be run again
	def reset(self):
		super().reset()
		self.num = 0
		self.sumOfElements = 0

	#Gets
	#Returns the number that was calculated
	def getNumber(self):
		#If the problem hasn't been solved throw an exception
		if(not self.solved):
			raise Unsolved("You must solve the problem before you can get the number")
		return self.num
	#Return the sum of digits of the number
	def getSum(self):
		#If the problem hasn't been solved throw an exception
		if(not self.solved):
			raise Unsolved("You must solve the problem before you can get the sum of the digits of the number")
		return self.sumOfElements

#If you are running this file, automatically start the correct function
if __name__ == "__main__":
	problem = Problem16()
	print(problem.getDescription())	#Print the description of the problem
	problem.solve()	#Solve the problem
	#Print the results
	print(problem.getResult())
	print("It took " + problem.getTime() + " to solve this algorithm")


"""Results:
2^1000 = 10715086071862673209484250490600018105614048117055336074437503883703510511249361224931983788156958581275946729175531468251871452856923140435984577574698574803934567774824230985421074605062371141877954182153046474983581941267398767559165543946077062914571196477686542167660429831652624386837205668069376
The sum of the elements is 1366
It took an average of 57.271 microseconds to run this problem through 100 iterations
"""