package com.company;
import java.util.Scanner;
public class Main {

    public static void main(String[] args) {
        Scanner scanner = new Scanner(System.in);
        boolean iscorrect = true;
        int n = 0;
        System.out.println("This program finds the triangle with the largest radius of the circumscribed circle");
        do {
            System.out.println("Enter the number of triangles n(n > 2 and n < 10)");
            try {
                n = scanner.nextInt();
                if ((n > 1) && (n < 10)) {
                    iscorrect = false;
                }
            }catch (Exception e) {
                scanner.nextLine();
                System.out.println("This is a mistake. Please enter again!");
                iscorrect = true;
            }
        }
        while (iscorrect);
        double a = 0;
        double b = 0;
        double c = 0;
        double p;
        int nomb = 0;
        double max = 0;
        double[] radius;
        radius = new double[n];
        for(int i = 0; i < n; i++ ) {
            System.out.print("Enter the sides of triangle № ");
            System.out.print(i + 1);
            do {
                try {
                    do {
                        try {
                            System.out.println(" First side = ");
                            a = scanner.nextInt();
                            if (a > 0) {
                                iscorrect = false;
                            } else {
                                System.out.println("This is a mistake. Please enter again!");
                                iscorrect = true;
                            }
                        } catch (Exception e) {
                            scanner.nextLine();
                            System.out.println("This is a mistake. Please enter again!");
                            iscorrect = true;
                        }
                    }
                    while (iscorrect);
                    do {
                        try {
                            System.out.println(" Second side = ");
                            b = scanner.nextInt();
                            if (b > 0) {
                                iscorrect = false;
                            } else {
                                System.out.println("This is a mistake. Please enter again!");
                                iscorrect = true;
                            }
                        } catch (Exception e) {
                            scanner.nextLine();
                            System.out.println("This is a mistake. Please enter again!");
                            iscorrect = true;
                        }
                    }
                    while (iscorrect);
                    do {
                        try {
                            System.out.println(" Third side = ");
                            c = scanner.nextInt();
                            if (c > 0) {
                                iscorrect = false;
                            } else {
                                System.out.println("This is a mistake. Please enter again!");
                                iscorrect = true;
                            }
                        } catch (Exception e) {
                            scanner.nextLine();
                            System.out.println("This is a mistake. Please enter again!");
                            iscorrect = true;
                        }
                    }
                    while (iscorrect);
                    if ((a + b > c) && (a + c > b) && (b + c > a)) {
                        iscorrect = false;
                    } else {
                        iscorrect = true;
                        System.out.println("This is a mistake. The sides of the triangle must satisfy the condition (a + b > c and a + c > b and b + c > a).Please enter sides again!");
                    }
                } catch (Exception e) {
                    scanner.nextLine();
                    System.out.println("This is a mistake. Please enter again!");
                    iscorrect = true;
                }
            }
            while (iscorrect);
            p = (a + b + c) / 2;
            radius[i] = (a * b * c) / (4 * Math.sqrt(p * (p - a) * (p - b) * (p - c)));
            if (max < radius[i]) {
                max = radius[i];
                nomb = i;
            }
        }
        System.out.print("Triangle № " + (nomb + 1) + " has the largest radius of the circumscribed circle = " + max);
    }
}