//ProjectEuler/ProjectEulerCPP/Source/Problem8.cpp //Matthew Ellison // Created: 09-28-18 //Modified: 07-09-20 //Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product? /* 73167176531330624919225119674426574742355349194934 96983520312774506326239578318016984801869478851843 85861560789112949495459501737958331952853208805511 12540698747158523863050715693290963295227443043557 66896648950445244523161731856403098711121722383113 62229893423380308135336276614282806444486645238749 30358907296290491560440772390713810515859307960866 70172427121883998797908792274921901699720888093776 65727333001053367881220235421809751254540594752243 52584907711670556013604839586446706324415722155397 53697817977846174064955149290862569321978468622482 83972241375657056057490261407972968652414535100474 82166370484403199890008895243450658541227588666881 16427171479924442928230863465674813919123162824586 17866458359124566529476545682848912883142607690042 24219022671055626321111109370544217506941658960408 07198403850962455444362981230987879927244284909188 84580156166097919133875499200524063689912560717606 05886116467109405077541002256983155200055935729725 71636269561882670428252483600823257530420752963450 */ //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 . */ #include #include #include #include #include "Stopwatch.hpp" #include "../Headers/Problem.hpp" #include "../Headers/Problem8.hpp" //The number that we are working with std::string Problem8::number = "7316717653133062491922511967442657474235534919493496983520312774506326239578318016984801869478851843858615607891129494954595017379583319528532088055111254069874715852386305071569329096329522744304355766896648950445244523161731856403098711121722383113622298934233803081353362766142828064444866452387493035890729629049156044077239071381051585930796086670172427121883998797908792274921901699720888093776657273330010533678812202354218097512545405947522435258490771167055601360483958644670632441572215539753697817977846174064955149290862569321978468622482839722413756570560574902614079729686524145351004748216637048440319989000889524345065854122758866688116427171479924442928230863465674813919123162824586178664583591245665294765456828489128831426076900422421902267105562632111110937054421750694165896040807198403850962455444362981230987879927244284909188845801561660979191338754992005240636899125607176060588611646710940507754100225698315520005593572972571636269561882670428252483600823257530420752963450"; //Constructor Problem8::Problem8() : Problem("Find the thirteen adjacent digits in the 1000-digit number that have the greatest product. What is the value of this product?"), maxProduct(0){ } //Solve the problem void Problem8::solve(){ //If the problem has already been solved do nothing and end the function if(solved){ return; } //Start the timer timer.start(); //Cycle through the string of numbers looking for the maximum product for(unsigned int cnt = 12;cnt < number.size();++cnt){ uint64_t currentProduct = std::stoull(number.substr(cnt, 1)) * std::stoull(number.substr(cnt - 1, 1)) * std::stoull(number.substr(cnt - 2, 1)) * std::stoull(number.substr(cnt - 3, 1)) * std::stoull(number.substr(cnt - 4, 1)) * std::stoull(number.substr(cnt - 5, 1)) * std::stoull(number.substr(cnt - 6, 1)) * std::stoull(number.substr(cnt - 7, 1)) * std::stoull(number.substr(cnt - 8, 1)) * std::stoull(number.substr(cnt - 9, 1)) * std::stoull(number.substr(cnt - 10, 1)) * std::stoull(number.substr(cnt - 11, 1)) * std::stoull(number.substr(cnt - 12, 1)); //Check if the product is greater than the current maximum //If it is currentNums is the new maximum if(currentProduct > maxProduct){ maxNums = number.substr(cnt - 12, 13); maxProduct = currentProduct; } } //Stop the timer timer.stop(); //Throw a flag to show the problem is solved solved = true; } //Reset the problem so it can be run void Problem8::reset(){ Problem::reset(); maxNums = ""; maxProduct = 0; } //Return a string with the solution to the problem std::string Problem8::getString() const{ //If the problem hasn't been solved throw an exception if(!solved){ throw Unsolved(); } std::stringstream results; results << "The greatest product is " << maxProduct << "\nThe numbers are " << maxNums; return results.str(); } //Returns the string of numbers that produces the largest product std::string Problem8::getLargestNums() const{ //If the problem hasn't been solved throw an exception if(!solved){ throw Unsolved(); } return maxNums; } //Returns the requested product uint64_t Problem8::getLargestProduct() const{ //If the problem hasn't been solved throw an exception if(!solved){ throw Unsolved(); } return maxProduct; }