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Created solution to problem32
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85
Headers/Problem32.hpp
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85
Headers/Problem32.hpp
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//ProjectEuler/ProjectEulerCPP/Headers/Problem32.hpp
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//Matthew Ellison
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// Created: 07-27-20
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//Modified: 07-27-20
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//Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigital.
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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 PROBLEM32_HPP
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#define PROBLEM32_HPP
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#include <cinttypes>
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#include <string>
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#include <vector>
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#include "Problem.hpp"
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class Problem32 : public Problem{
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private:
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//Structures
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struct ProductSet{
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int multiplicand;
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int multiplier;
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ProductSet(int multiplicand, int multiplier) : multiplicand(multiplicand), multiplier(multiplier){
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}
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int64_t getProduct(){
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return ((int64_t)multiplicand * (int64_t)multiplier);
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}
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bool operator==(ProductSet secondSet){
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return (getProduct() == secondSet.getProduct());
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}
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std::string getNumString(){
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return std::to_string(multiplicand) + std::to_string(multiplier) + std::to_string(getProduct());
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}
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};
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//Variables
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//Static variables
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static int TOP_MULTIPLICAND; //The largest multiplicand to check
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static int TOP_MULTIPLIER; //The largest multiplier to check
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//Instance variables
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std::vector<ProductSet> listOfProducts; //The list of unique products that are 1-9 pandigital
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uint64_t sumOfPandigitals; //The sum of the products of the pandigital numbers
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//Functions
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//Returns true if the passed productset is 1-9 pandigital
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bool isPandigital(ProductSet currentSet);
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public:
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//Functions
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//Constructor
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Problem32();
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//Operational functions
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//Solve the problem
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void solve();
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//Reset the problem so it can be run again
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void reset();
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//Gets
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//Returns the sum of the pandigitals
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int64_t getSumOfPandigitals();
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};
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/* Results:
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There are 7 unique 1-9 pandigitals
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The sum of the products of these pandigitals is 45228
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It took an average of 4.480 milliseconds to run this problem over 100 iterations
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*/
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#endif //PROBLEM32_HPP
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@@ -57,6 +57,7 @@
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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/Problem32.hpp"
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#include "Headers/Problem67.hpp"
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@@ -64,7 +65,7 @@
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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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21, 22, 23, 24, 25, 26, 27, 28, 29, 30,
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31, 67};
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31, 32, 67};
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//This function returns a pointer to a problem of type number
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Problem* getProblem(unsigned int problemNumber){
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@@ -103,6 +104,7 @@ Problem* getProblem(unsigned int problemNumber){
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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 31 : problem = new Problem31; break;
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case 32 : problem = new Problem32; break;
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case 67 : problem = new Problem67; break;
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}
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117
Source/Problem32.cpp
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117
Source/Problem32.cpp
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//ProjectEuler/ProjectEulerCPP/Source/Problem32.cpp
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//Matthew Ellison
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// Created: 07-27-20
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//Modified: 07-27-20
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//Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigital.
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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 <cinttypes>
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#include <sstream>
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#include <string>
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#include <vector>
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#include "Algorithms.hpp"
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#include "../Headers/Problem32.hpp"
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#include <iostream>
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int Problem32::TOP_MULTIPLICAND = 99; //The largest multiplicand to check
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int Problem32::TOP_MULTIPLIER = 4999; //The largest multiplier to check
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//Returns true if the passed productset is 1-9 pandigital
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bool Problem32::isPandigital(ProductSet currentSet){
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//Get the numbers out of the object and put them into a string
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std::string numberString = currentSet.getNumString();
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//Make srue the string is the correct length
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if(numberString.size() != 9){
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return false;
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}
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//Make sure every number from 1-9 is contained exactly once
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for(int panNumber = 1;panNumber <= 9;++panNumber){
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//Make sure there is exactly one of this number contained in the string
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if(mee::findNumOccurrence(numberString, std::to_string(panNumber)[0]) != 1){
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return false;
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}
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}
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//If all numbers were found in the string return true
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return true;
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}
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//Constructor
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Problem32::Problem32() : Problem("Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigital."), sumOfPandigitals(0){
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}
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//Operational functions
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//Solve the problem
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void Problem32::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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//Create the multiplicand and start working your way up
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for(int multiplicand = 1;multiplicand <= TOP_MULTIPLICAND;++multiplicand){
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//Run through all possible multipliers
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for(int multiplier = multiplicand;multiplier <= TOP_MULTIPLIER;++multiplier){
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ProductSet currentProductSet(multiplicand, multiplier);
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//If the product is too long move on to the next possible number
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if(currentProductSet.getNumString().size() > 9){
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break;
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}
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//If the current number is a pandigital that doesn't already exist in the list add it to the list
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if(isPandigital(currentProductSet)){
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if(std::find(listOfProducts.begin(), listOfProducts.end(), currentProductSet) == listOfProducts.end()){
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listOfProducts.push_back(currentProductSet);
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}
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}
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}
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}
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//Get the sum of the products of the pandigitals
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for(ProductSet prod : listOfProducts){
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sumOfPandigitals += prod.getProduct();
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}
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//Stop the timer
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timer.stop();
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//Save the results
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result << "There are " << listOfProducts.size() << " unique 1-9 pandigitals\nThe sum of the products of these pandigitals is " << sumOfPandigitals;
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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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//Reset the problem so it can be run again
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void Problem32::reset(){
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Problem::reset();
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listOfProducts.clear();
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sumOfPandigitals = 0;
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}
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//Gets
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//Returns the sum of the pandigitals
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int64_t Problem32::getSumOfPandigitals(){
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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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return sumOfPandigitals;
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}
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2
makefile
2
makefile
@@ -3,7 +3,7 @@ NUMCORESWIN = ${NUMBER_OF_PROCESSORS}
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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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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 31 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 32 67
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PROBLEM_FILES = $(patsubst %,Source/libProblem%.cpp,$(PROBLEM_NUMBERS))
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LIBDIR = ./lib
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LIBS = $(patsubst %, -lProblem%,$(PROBLEM_NUMBERS))
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