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headers/Problems/Problem12.hpp
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headers/Problems/Problem12.hpp
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//ProjectEuler/ProjectEulerCPP/headers/Problems/Problem12.hpp
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//Matthew Ellison
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// Created: 09-27-18
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//Modified: 08-28-20
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//What is the value of the first triangle number to have over five hundred divisors?
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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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/* Copyright (C) 2020 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 PROBLEM12_HPP
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#define PROBLEM12_HPP
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#include <vector>
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#include <cinttypes>
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#include <string>
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#include "Problem.hpp"
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class Problem12 : public Problem{
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private:
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//Variables
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//Static variables
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static uint64_t GOAL_DIVISORS; //The number of divisors that you want
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//Instance variables
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int64_t sum; //The sum of the numbers up to counter
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int64_t counter; //The next number to be added to sum
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std::vector<int64_t> divisors; //Holds the divisors of the triangular number sum
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public:
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//Constructor
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Problem12();
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//Operational functions
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virtual void solve(); //Solve the problem
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virtual void reset(); //Reset the problem so it can be run again
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//Gets
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virtual std::string getResult(); //Return a string with the solution to the problem
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int64_t getTriangularNumber() const; //Returns the triangular number
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int64_t getLastNumberAdded() const; //Get the final number that was added to the triangular number
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std::vector<int64_t> getDivisorsOfTriangularNumber() const; //Returns the list of divisors of the requested number
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size_t getNumberOfDivisors() const; //Returns the number of divisors of the requested number
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};
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/* Results:
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The triangular number 76576500 is a sum of all numbers >= 12375 and has 576 divisors
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It took an average of 280.536 milliseconds to run this problem over 100 iterations
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*/
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#endif //PROBLEM12_HPP
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