/* Thise code is solution of "Fisher Number" challange. A Fisher number is an integer whose multipliers are equal to the number's cube. For example, 12 is a Fisher number, because 12^3 = 2 x 3 x 4 x 6 x 12. For example: Input: 12 Output: true (12^3 = 2 x 3 x 4 x 6 x 12) Input: 8 Output: false (8^3 != 2 x 4 x 8) Write a program to check if the user input is a Fisher number or not. Bonus: Print all the Fisher numbers in a given range. ______________________________________________________________ Input instructions. For getting code work you should: 1) Press character (s/S)-for single number checker or (r/R)-for range searcher and after that press ENTER button. 2) Enter int number if you choose (s/S) and than SUBMIT or enter first number in the range and that ENTER and last number in the range and than SUBMIT. ______________________________________________________________ EXAMPLE #1: For input: r [ENTER] 1 [ENTER] 50 [SUBMIT] You will get on the screen: You choose range-search mode. Entered first number in the range: 1. Entered last number in the range: 50. So, here you got Fisher numbers from 1 to 50: [1, 12, 18, 20, 28, 32, 44, 45, 50]. Come again, good bye! ______________________________________________________________ EXAMPLE #2: For input: S [ENTER] 80730 [SUBMIT] You will get on the screen: You choose single number search mode. Entered 80730 number for analysis. Success, 80730 - is a Fisher number. Come again, good bye! */ #include #include #include class programMode { private: char option; bool mode = false; bool approved = true; public: bool getMode(){ return mode; } bool getApproved(){ return approved; } openningMessage(){ std::cin >> option; } openningMessage(bool validity){ // Invalid input if (!validity) std::cout << "\nYou enter " << option << " for research option." << " It's invalid input.\n"; } scanDialog(){ // Setting single number search mode if ( (option == 's') || (option == 'S') ) mode = true; // Setting range-search mode else if ( (option == 'r') || (option == 'R') ) mode = false; // Not allow to program work when input invalid else approved = false; } virtual ~programMode(){ std::cout << "\nCome again, goodbye!\n"; } }; class singleNumber : public programMode { protected: int resNumber; std::vector factors; bool result = true; // Check if multiplication of all numbers a equal // to cube of the original number void equaltoCube(int a){ unsigned long long int b = 1; unsigned long long int c = pow(a,2); std::vector tempo; factors.erase(factors.begin(), factors.end()); for (int i = 2; (i <= (a/2)); i++) if (a%i == 0){ b *= i; tempo.push_back(i); } factors.insert(factors.begin(),tempo.begin(),tempo.end()); if (b == c) result = true; else result = false; } public: singleNumber(){ } void setNumber(){ std::cin >> resNumber; std::cout << "You choose single number search mode."; std::cout << "\nNumber for analysis: " << resNumber << '.'; } int getNumber(){ return resNumber; } void researchNumber(){ equaltoCube(resNumber); } void closeDialog(){ if (result) std::cout << "\n\nSuccess, " << resNumber << " - is a Fisher number.\n"; else std::cout << "\n\nFailure, " << resNumber << " - is not a Fisher number.\n"; std::cout << '\n' << resNumber << "^3"; if (result) std::cout << ' '; else std::cout << ' ' << '!'; std::cout << '=' << ' '; for (auto &it : factors) std::cout << it << ' ' << 'x' << ' '; std::cout << resNumber << '.' << '\n'; } ~singleNumber(){} }; class rangeNumbers : public singleNumber { private: int lRange; int rRange; std::vector number; std::vector> rfactors; int size; int clear; public: rangeNumbers(){ } void setRange(){ std::cin >> lRange; std::cout << "You choose range-search mode."; std::cout << "\nFirst number in the range: " << lRange << '.'; std::cin >> rRange; std::cout << "\nLast number in the range: "<< rRange << '.'; } int getlRange(){ return lRange; } int getrRange(){ return rRange; } void researchRange(){ clear = 0; for (int j = lRange; j <= rRange; j++){ equaltoCube(j); if (result){ number.push_back(j); rfactors.push_back(factors); } } size = number.size(); } void closeDialog(){ if (size) { std::cout << "\n\nSo, here you got Fisher numbers" << " from " << lRange << " to " << rRange << ":\n\n["; for (int j = 0; j < size; j++) { if (clear++ != 0) std::cout << ',' << '\t'; if (clear == 7) { std::cout << '\n'; clear = 1; } std::cout << number[j]; } std::cout << ']' << '.' << '\n'; std::cout << '\n'; for (int j = 0; j < size; j++){ std::cout << (j+1) << ". " << number[j] << " ^3 = "; for (auto &it : rfactors[j]) std::cout << it << ' ' << 'x' << ' '; std::cout << number[j] << '.' << '\n'; } } else std::cout << "\nUnfortunately, there is not a single" << " Fisher number in the scope.\n"; } ~rangeNumbers(){} }; int main(){ programMode* fisher = new programMode; fisher -> openningMessage(); fisher -> scanDialog(); fisher -> openningMessage(fisher -> getApproved()); // Single-input mode if ( fisher -> getApproved() && fisher -> getMode() ) { singleNumber* check = new singleNumber; check -> setNumber(); check -> researchNumber(); check -> closeDialog(); } // Range-input mode if ( fisher -> getApproved() && !fisher -> getMode() ) { rangeNumbers* check = new rangeNumbers; check -> setRange(); check -> researchRange(); check -> closeDialog(); } delete fisher; return 0; }

[Challenge]: Fisher numbers checker.