//ProjectEuler/ProjectEulerCPP/Headers/Problem12.hpp
//Matthew Ellison
// Created: 09-27-18
//Modified: 07-09-20
//What is the value of the first triangle number to have over five hundred divisors?
//Unless otherwise listed all non-standard includes are my own creation and available from https://bibucket.org/Mattrixwv/myClasses
/* Copyright (C) 2020 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 .
*/
#ifndef PROBLEM12_HPP
#define PROBLEM12_HPP
#include
#include
#include
#include "Problem.hpp"
class Problem12 : public Problem{
private:
//Variables
//Static variables
static uint64_t GOAL_DIVISORS; //The number of divisors that you want
//Instance variables
int64_t sum; //The sum of the numbers up to counter
int64_t counter; //The next number to be added to sum
std::vector divisors; //Holds the divisors of the triangular number sum
public:
//Constructor
Problem12();
//Operational functions
virtual void solve(); //Solve the problem
virtual void reset(); //Reset the problem so it can be run again
//Gets
int64_t getTriangularNumber() const; //Returns the triangular number
int64_t getLastNumberAdded() const; //Get the final number that was added to the triangular number
std::vector getDivisorsOfTriangularNumber() const; //Returns the list of divisors of the requested number
size_t getNumberOfDivisors() const; //Returns the number of divisors of the requested number
};
/* Results:
The triangular number 76576500 is a sum of all numbers >= 12375 and has 576 divisors
It took an average of 280.536 milliseconds to run this problem over 100 iterations
*/
#endif //PROBLEM12_HPP