#include #include using namespace std; // function check if the sum of two numbers is perfect square // if yes return true, otherwise false bool IsPerfectSquare(int num1, int num2){ if(sqrt(num1+num2)==floor(sqrt(num1+num2))){ return true; } return false; } // function check all combinations from 4 numbers in groups of 2 bool AreAllCombinationsSumSquare(int a, int b, int c, int d){ /***** * all the combinations pairs are * a,b * a,c * a,d * b,c * b,d * c,d */ if ( IsPerfectSquare(a,b) & IsPerfectSquare(a,c) & IsPerfectSquare(a,d) & IsPerfectSquare(b,c) & IsPerfectSquare(b,d) & IsPerfectSquare(c,d) ){ return true; } return false; } int main() { //int a=2,b=34,c=47,d=2; int a,b,c,d; cout << "Enter a: "; cin >> a; cout << "Enter b: "; cin >> b; cout << "Enter c: "; cin >> c; cout << "Enter d: "; cin >> d; if( AreAllCombinationsSumSquare(a,b,c,d) ){ cout << "\nCombination : (" << a << "," << b << "," << c << "," << d << ")" << endl; cout << " (a+b)=(" << a << "+" << b << ")=" << a+b << "=" << sqrt(a+b) << "^2" << endl; cout << " (a+c)=(" << a << "+" << c << ")=" << a+c << "=" << sqrt(a+c) << "^2" << endl; cout << " (a+d)=(" << a << "+" << d << ")=" << a+d << "=" << sqrt(a+d) << "^2" << endl; cout << " (b+c)=(" << b << "+" << c << ")=" << b+c << "=" << sqrt(b+c) << "^2" << endl; cout << " (b+d)=(" << b << "+" << d << ")=" << b+d << "=" << sqrt(b+d) << "^2" << endl; cout << " (c+d)=(" << c << "+" << d << ")=" << c+d << "=" << sqrt(c+d) << "^2" << endl; } return 0; }

SummaryIsSquare