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Headers/Problem30.hpp
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Headers/Problem30.hpp
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//ProjectEuler/C++/Headers/Problem30.hpp
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//Matthew Ellison
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// Created: 10-27-19
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//Modified: 10-27-19
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//Find the sum of all the numbers that can be written as the sum of the fifth powers of their digits.
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//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/myClasses
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/*
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Copyright (C) 2019 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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#ifndef PROBLEM30_HPP
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#define PROBLEM30_HPP
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#include <string>
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#include <cinttypes>
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#include <vector>
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#include "Problem.hpp"
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class Problem30 : public Problem{
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private:
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static const uint64_t TOP_NUM = 1000000; //This is the largest number that will be checked
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static const uint64_t BOTTOM_NUM = 2; //Start with 2 because 0 and 1 don't count
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static const uint64_t POWER_RAISED = 5; //This is the power that the digits are raised to
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std::vector<uint64_t> sumOfFifthNumbers; //This is a vector of the numbers that are the sum of the fifth power of their digits
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std::vector<uint64_t> getDigits(uint64_t num); //Returns a vector with the indivitual digits of the number passed into it
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public:
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Problem30();
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virtual void solve();
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virtual std::string getString() const;
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uint64_t getTopNum() const; //This returns the top number to be checked
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std::vector<uint64_t> getListOfSumOfFifths() const; //This returns a copy of the vector holding all the numbers that are the sum of the fifth power of their digits
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uint64_t getSumOfList() const; //This returns the sum of all entries in sumOfFifthNumbers
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};
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/* Results:
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The sum of all the numbers that can be written as the sum of the fifth powers of their digits is 443839
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It took 280.300 milliseconds to solve this problem.
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*/
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#endif //PROBLEM30_HPP
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