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94 lines
3.2 KiB
Python
94 lines
3.2 KiB
Python
#ProjectEuler/Python/Problem6.py
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#Matthew Ellison
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# Created: 01-28-19
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#Modified: 07-24-21
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#Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum
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#Unless otherwise listed, all of my non-standard imports can be gotten from my pyClasses repository at https://bitbucket.org/Mattrixwv/pyClasses
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"""
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Copyright (C) 2021 Matthew Ellison
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This program is free software: you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation, either version 3 of the License, or
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(at your option) any later version.
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This program is distributed in the hope that it will be useful,
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but WITHOUT ANY WARRANTY; without even the implied warranty of
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MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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GNU Lesser General Public License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with this program. If not, see <https://www.gnu.org/licenses/>.
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"""
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from Problems.Problem import Problem
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class Problem6(Problem):
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#Variables
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__startNum = 1
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__endNum = 100
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#Functions
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#Constructor
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def __init__(self) -> None:
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super().__init__("Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.")
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self.sumOfSquares = 0 #Holds the sum of the squares of all the numbers
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self.squareOfSum = 0 #Holds the square of the sum of all the numbers
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#Operational functions
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#Solve the problem
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def solve(self) -> None:
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#If the problem has already been solved do nothing and end the function
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if(self.solved):
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return
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#Start the timer
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self.timer.start()
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#Run through all numbers from 1-100 and add them to the approriate sums
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for num in range(self.__startNum, self.__endNum + 1):
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self.sumOfSquares += (num * num) #Get the sum of the squares of the first 100 natural numbers
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self.squareOfSum += num #Get the sum of the first 100 natural numbers so you can square it later
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#Square the normal sum
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self.squareOfSum *= self.squareOfSum
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#Stop the timer
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self.timer.stop()
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#Throw a flag to show the problem is solved
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self.solved = True
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#Reset the problem so it can be run again
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def reset(self) -> None:
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super().reset()
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self.squareOfSum = 0
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self.sumOfSquares = 0
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#Gets
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#Returns the result of solving the problem
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def getResult(self) -> str:
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self.solvedCheck("result")
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return f"The difference between the sum of the squares and the square of the sum of the numbers 1-100 is {abs(self.sumOfSquares - self.squareOfSum)}"
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#Returns the sum of all the squares
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def getSumOfSquares(self) -> int:
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self.solvedCheck("sum of the squares")
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return self.sumOfSquares
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#Return the sqare of all of the sums
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def getSquareOfSum(self) -> int:
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self.solvedCheck("square of the sums")
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return self.squareOfSum
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#Returns the requested difference
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def getDifference(self) -> int:
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self.solvedCheck("difference between the two numbers")
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return abs(self.sumOfSquares - self.squareOfSum)
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"""Results:
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The difference between the sum of the squares and the square of the sum of the numbers 1-100 is 25164150
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It took an average of 14.266 microseconds to run this problem through 100 iterations
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"""
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