Java Program for Maximum height when coins are arranged in a triangle

// Java program to find maximum height
// of arranged coin triangle
class GFG {

    /* Returns the square root of n. 
    Note that the function */
    static float squareRoot(float n)
    {

        /* We are using n itself as 
        initial approximation.This 
        can definitely be improved */
        float x = n;
        float y = 1;

        // e decides the accuracy level
        float e = 0.000001f;
        while (x - y > e) {
            x = (x + y) / 2;
            y = n / x;
        }

        return x;
    }

    // Method to find maximum height
    // of arrangement of coins
    static int findMaximumHeight(int N)
    {

        // calculating portion inside
        // the square root
        int n = 1 + 8 * N;
        int maxH = (int)(-1 + squareRoot(n)) / 2;

        return maxH;
    }

    // Driver code
    public static void main(String[] args)
    {
        int N = 12;

        System.out.print(findMaximumHeight(N));
    }
}

// This code is contributed by Anant Agarwal.