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