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Added solution to problem 31
This commit is contained in:
52
Headers/Problem31.hpp
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52
Headers/Problem31.hpp
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//ProjectEuler/C++/Headers/Problem31.hpp
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//Matthew Ellison
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// Created: 06-19-20
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//Modified: 06-19-20
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//How many different ways can £2 be made using any number of coins?
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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 PROBLEM31_HPP
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#define PROBLEM31_HPP
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#include <string>
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#include <vector>
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#include "Problem.hpp"
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class Problem31 : public Problem{
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private:
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static int desiredValue;
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int permutations;
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public:
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Problem31();
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virtual void solve();
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virtual std::string getString() const;
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//Returns the number of correct permutations of the coins
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int getPermutations() const;
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};
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/* Results:
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There are 73682 ways to make 2 pounds with the given denominations of coins
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It took 0.000 nanoseconds to solve this problem.
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*/
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#endif //PROBLEM31_HPP
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32
Problems.hpp
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32
Problems.hpp
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#include "Headers/Problem1.hpp"
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#include "Headers/Problem2.hpp"
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#include "Headers/Problem3.hpp"
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#include "Headers/Problem4.hpp"
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#include "Headers/Problem5.hpp"
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#include "Headers/Problem6.hpp"
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#include "Headers/Problem7.hpp"
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#include "Headers/Problem8.hpp"
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#include "Headers/Problem9.hpp"
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#include "Headers/Problem10.hpp"
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#include "Headers/Problem11.hpp"
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#include "Headers/Problem12.hpp"
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#include "Headers/Problem13.hpp"
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#include "Headers/Problem14.hpp"
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#include "Headers/Problem15.hpp"
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#include "Headers/Problem16.hpp"
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#include "Headers/Problem17.hpp"
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#include "Headers/Problem18.hpp"
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#include "Headers/Problem19.hpp"
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#include "Headers/Problem20.hpp"
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#include "Headers/Problem21.hpp"
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#include "Headers/Problem22.hpp"
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#include "Headers/Problem23.hpp"
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#include "Headers/Problem24.hpp"
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#include "Headers/Problem25.hpp"
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#include "Headers/Problem26.hpp"
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#include "Headers/Problem27.hpp"
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#include "Headers/Problem28.hpp"
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#include "Headers/Problem29.hpp"
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#include "Headers/Problem30.hpp"
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#include "Headers/Problem31.hpp"
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#include "Headers/Problem67.hpp"
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86
Source/Problem31.cpp
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86
Source/Problem31.cpp
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//ProjectEuler/C++/Source/Problem31.cpp
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//Matthew Ellison
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// Created: 06-19-20
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//Modified: 06-19-20
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//How many different ways can £2 be made using any number of coins?
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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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#include <string>
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#include <sstream>
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#include <vector>
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#include "../Headers/Problem31.hpp"
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int Problem31::desiredValue = 200;
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Problem31::Problem31() : Problem("How many different ways can 2 pounds be made using any number of coins?"){
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permutations = 0;
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}
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void Problem31::solve(){
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//If the problem has alread been solved do nothing and end the function
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if(solved){
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return;
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}
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//Start the timer
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timer.start();
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//Start with 200p and remove the necessary coins with each loop
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for(int pound2 = desiredValue;pound2 >= 0;pound2 -= 200){
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for(int pound1 = pound2;pound1 >= 0;pound1 -= 100){
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for(int pence50 = pound1;pence50 >= 0;pence50 -= 50){
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for(int pence20 = pence50;pence20 >= 0;pence20 -= 20){
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for(int pence10 = pence20;pence10 >= 0;pence10 -= 10){
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for(int pence5 = pence10;pence5 >= 0;pence5 -= 5){
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for (int pence2 = pence5; pence2 >= 0; pence2 -= 2){
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++permutations;
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}
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}
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}
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}
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}
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}
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}
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//Stop the timer
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timer.stop();
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//Throw a flag to show the problem is solved
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solved = true;
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}
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std::string Problem31::getString() const{
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//If the problem hasn't been solved throw an exception
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if(!solved){
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throw unsolved();
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}
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std::stringstream results;
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results << "There are " << permutations << " ways to make 2 pounds with the given denominations of coins";
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return results.str();
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}
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//Returns the number of correct permutations of the coins
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int Problem31::getPermutations() const{
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return permutations;
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}
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37
main.cpp
37
main.cpp
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//ProjectEuler/C++/main.cpp
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//ProjectEuler/C++/main.cpp
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//Matthew Ellison
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//Matthew Ellison
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// Created: 07-04-19
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// Created: 07-04-19
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//Modified: 07-08-19
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//Modified: 06-19-20
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//This is a driver function for all Project Euler problems
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//This is a driver function for all Project Euler problems
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//It prompts the user for an action (state the problem or solve the problem), then executes the appropriate command on the appropriate problem
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//It prompts the user for an action (state the problem or solve the problem), then executes the appropriate command on the appropriate problem
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#include <vector>
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#include <vector>
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#include "Algorithms.hpp"
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#include "Algorithms.hpp"
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#include "Headers/Problem.hpp"
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#include "Headers/Problem.hpp"
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#include "Headers/Problem1.hpp"
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#include "Problems.hpp"
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#include "Headers/Problem2.hpp"
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#include "Headers/Problem3.hpp"
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#include "Headers/Problem4.hpp"
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#include "Headers/Problem5.hpp"
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#include "Headers/Problem6.hpp"
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#include "Headers/Problem7.hpp"
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#include "Headers/Problem8.hpp"
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#include "Headers/Problem9.hpp"
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#include "Headers/Problem10.hpp"
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#include "Headers/Problem11.hpp"
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#include "Headers/Problem12.hpp"
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#include "Headers/Problem13.hpp"
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#include "Headers/Problem14.hpp"
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#include "Headers/Problem15.hpp"
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#include "Headers/Problem16.hpp"
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#include "Headers/Problem17.hpp"
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#include "Headers/Problem18.hpp"
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#include "Headers/Problem19.hpp"
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#include "Headers/Problem20.hpp"
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#include "Headers/Problem21.hpp"
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#include "Headers/Problem22.hpp"
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#include "Headers/Problem23.hpp"
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#include "Headers/Problem24.hpp"
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#include "Headers/Problem25.hpp"
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#include "Headers/Problem26.hpp"
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#include "Headers/Problem27.hpp"
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#include "Headers/Problem28.hpp"
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#include "Headers/Problem29.hpp"
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#include "Headers/Problem30.hpp"
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#include "Headers/Problem67.hpp"
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//Some helper functions to help with the menus
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//Some helper functions to help with the menus
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@@ -61,7 +31,7 @@ enum MenuOptions {SOLVE = 1, DESCRIPTION, LIST, EXIT, SIZE};
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std::vector<unsigned int> PROBLEM_NUMBERS = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,
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std::vector<unsigned int> PROBLEM_NUMBERS = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10,
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11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
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11, 12, 13, 14, 15, 16, 17, 18, 19, 20,
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21, 22, 23, 24, 25, 26, 27, 28, 29, 30,
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21, 22, 23, 24, 25, 26, 27, 28, 29, 30,
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67};
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31, 67};
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int main(){
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int main(){
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int selection = 0; //Holds the menu selection of the user
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int selection = 0; //Holds the menu selection of the user
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@@ -177,6 +147,7 @@ Problem* getProblem(unsigned int problemNumber){
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case 28 : problem = new Problem28; break;
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case 28 : problem = new Problem28; break;
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case 29 : problem = new Problem29; break;
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case 29 : problem = new Problem29; break;
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case 30 : problem = new Problem30; break;
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case 30 : problem = new Problem30; break;
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case 31 : problem = new Problem31; break;
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case 67 : problem = new Problem67; break;
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case 67 : problem = new Problem67; break;
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}
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}
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2
makefile
2
makefile
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LIBFLAGS = -shared -std=c++17 -O3 -fPIC -Wall
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LIBFLAGS = -shared -std=c++17 -O3 -fPIC -Wall
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EXEFLAGS = -Wall -std=c++11 -O3 -Wl,-rpath,'$$ORIGIN/lib'
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EXEFLAGS = -Wall -std=c++11 -O3 -Wl,-rpath,'$$ORIGIN/lib'
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LINKEDLIBS = -lgmp -lgmpxx
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LINKEDLIBS = -lgmp -lgmpxx
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PROBLEM_NUMBERS = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 67
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PROBLEM_NUMBERS = 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 67
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PROBLEM_FILES = $(patsubst %,Source/libProblem%.cpp,$(PROBLEM_NUMBERS))
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PROBLEM_FILES = $(patsubst %,Source/libProblem%.cpp,$(PROBLEM_NUMBERS))
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LIBDIR = ./lib
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LIBDIR = ./lib
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LIBS = $(patsubst %, -lProblem%,$(PROBLEM_NUMBERS))
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LIBS = $(patsubst %, -lProblem%,$(PROBLEM_NUMBERS))
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