📄 ex2_05.cpp
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// Exercise 2.5 Finding the largest of two integers without comparing them.
#include <iostream>
using std::cin;
using std::cout;
int main() {
long a = 0L;
long b = 0L;
cout << "Enter a positive integer: ";
cin >> a;
cout << "Enter another different positive integer: ";
cin >> b;
// The trick is to find arithmetic expressions for each of the larger
// and the smaller of the two integers
long larger = (a*(a/b) + b*(b/a))/(a/b + b/a);
long smaller = (b*(a/b) + a*(b/a))/(a/b + b/a);
cout << "\nThe larger integer is " << larger << "."
<< "\nThe smaller integer is " << smaller << ".\n";
return 0;
}
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