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headers/Problems/Problem28.hpp
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headers/Problems/Problem28.hpp
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//ProjectEuler/ProjectEulerCPP/headers/Problems/Problem28.hpp
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//Matthew Ellison
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// Created: 09-21-19
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//Modified: 08-28-20
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//What is the sum of the numbers on the diagonals in a 1001 by 1001 spiral formed by starting with the number 1 and moving to the right in a clockwise direction a 5 by 5 spiral
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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) 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 PROBLEM28_HPP
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#define PROBLEM28_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 Problem28 : public Problem{
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private:
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//Variables
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//Instance variables
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std::vector<std::vector<int>> grid; //Holds the grid that we will be filling and searching
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uint64_t sumOfDiagonals; //Holds the sum of the diagonals of the grid
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//Functions
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void setupGrid(); //This sets up the grid to hold the correct number of variables
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void createGrid(); //Puts all of the numbers in the grid up the grid
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void findSum(); //Finds the sum of the diagonals in the grid
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public:
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//Constructor
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Problem28();
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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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std::vector<std::vector<int>> getGrid() const; //Returns the grid
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uint64_t getSum() const; //Returns the sum of the diagonals
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};
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/* Results:
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The sum of the diagonals in the given grid is 669171001
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It took an average of 1.254 milliseconds to run this problem over 100 iterations
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*/
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#endif //PROBLEM28_HPP
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