#include <iostream>

int main() {
    using namespace std;
    bool iscorrect = true;
    cout << "This program finds the triangle with the largest radius of the circumscribed circle\n";
    int n;
    do {
        cout << "Enter the number of triangles n (n > 2 and n < 10)\n";
        cin >> n;
        if ((n > 1) && (n < 10)) {
            iscorrect = false;  }
        else {
            cout << "This is a mistake. Please enter again!\n";
            iscorrect = true;
        }
      }
    while (iscorrect);
    double a;
    double b;
    double c;
    int nomb = 0;
    double p;
    double radius[10];
    double max = 0;
    for(int i = 0; i < n; i++) {
        cout << "Enter the sides of triangle nomber  " << i+1 << "\n";
        do {
            do {
                cout << " First side = \n";
                cin >> a;
                if (a > 0) {
                    iscorrect = false;  }
                else {
                    cout << "This is a mistake. Please enter again!\n";
                    iscorrect = true;
                }
        }
            while (iscorrect);
            do {
                cout << " Second side = \n";
                cin >> b;
                if (b > 0) {
                    iscorrect = false;  }
                else {
                    cout << "This is a mistake. Please enter again!\n";
                    iscorrect = true;
                }
            }
            while (iscorrect);
            do {
                cout << " Third side = \n";
                cin >> c;
                if (c > 0) {
                    iscorrect = false;  }
                else {
                    cout << "This is a mistake. Please enter again!\n";
                    iscorrect = true;
                }
            }
            while (iscorrect);
        if ((a + b > c) && (a + c > b) && (b + c > a)) {
            iscorrect = false;   }
        else {
            i = i -1;
            cout << "This is a mistake. The sides of the triangle must satisfy the condition (a + b > c and a + c > b and b + c > a).\nPlease enter sides again!\n";
        }
                p = (a + b + c) / 2;
                radius[i] = (a * b * c) / (4 * sqrt(p * (p - a) * (p - b) * (p - c)));
                if (max < radius[i]) {
                    max = radius[i];
                    nomb = i;
                }
        }
        while (iscorrect);
    }
    cout << " Triangle number " << nomb + 1 << " has the largest radius of the circumscribed circle = " << max << "\n";
    return 0;
}