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ProjectEulerCPP/Source/Problem32.cpp

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//ProjectEuler/ProjectEulerCPP/Source/Problem32.cpp
//Matthew Ellison
// Created: 07-27-20
//Modified: 07-27-20
//Find the sum of all products whose multiplicand/multiplier/product identity can be written as a 1 through 9 pandigital.
//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 <https://www.gnu.org/licenses/>.
*/
#include <cinttypes>
#include <sstream>
#include <string>
#include <vector>
#include "Algorithms.hpp"
#include "../Headers/Problem32.hpp"
#include <iostream>
int Problem32::TOP_MULTIPLICAND = 99; //The largest multiplicand to check
int Problem32::TOP_MULTIPLIER = 4999; //The largest multiplier to check
//Returns true if the passed productset is 1-9 pandigital
bool Problem32::isPandigital(ProductSet currentSet){
//Get the numbers out of the object and put them into a string
std::string numberString = currentSet.getNumString();
//Make srue the string is the correct length
if(numberString.size() != 9){
return false;
}
//Make sure every number from 1-9 is contained exactly once
for(int panNumber = 1;panNumber <= 9;++panNumber){
//Make sure there is exactly one of this number contained in the string
if(mee::findNumOccurrence(numberString, std::to_string(panNumber)[0]) != 1){
return false;
}
}
//If all numbers were found in the string return true
return true;
}
//Constructor
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){
}
//Operational functions
//Solve the problem
void Problem32::solve(){
//If the problem has alread been solved do nothing and end the function
if(solved){
return;
}
//Start the timer
timer.start();
//Create the multiplicand and start working your way up
for(int multiplicand = 1;multiplicand <= TOP_MULTIPLICAND;++multiplicand){
//Run through all possible multipliers
for(int multiplier = multiplicand;multiplier <= TOP_MULTIPLIER;++multiplier){
ProductSet currentProductSet(multiplicand, multiplier);
//If the product is too long move on to the next possible number
if(currentProductSet.getNumString().size() > 9){
break;
}
//If the current number is a pandigital that doesn't already exist in the list add it to the list
if(isPandigital(currentProductSet)){
if(std::find(listOfProducts.begin(), listOfProducts.end(), currentProductSet) == listOfProducts.end()){
listOfProducts.push_back(currentProductSet);
}
}
}
}
//Get the sum of the products of the pandigitals
for(ProductSet prod : listOfProducts){
sumOfPandigitals += prod.getProduct();
}
//Stop the timer
timer.stop();
//Save the results
result << "There are " << listOfProducts.size() << " unique 1-9 pandigitals\nThe sum of the products of these pandigitals is " << sumOfPandigitals;
//Throw a flag to show the problem is solved
solved = true;
}
//Reset the problem so it can be run again
void Problem32::reset(){
Problem::reset();
listOfProducts.clear();
sumOfPandigitals = 0;
}
//Gets
//Returns the sum of the pandigitals
int64_t Problem32::getSumOfPandigitals(){
//If the problem hasn't been solved throw an exception
if(!solved){
throw Unsolved();
}
return sumOfPandigitals;
}