Problem:
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Distance II

Your task is to calculate the distance between two $n$ dimensional vectors $x = \{x_1, x_2, ..., x_n\}$ and $y = \{y_1, y_2, ..., y_n\}$.

The Minkowski's distance defined below is a metric which is a generalization of both the Manhattan distance and the Euclidean distance.

\[
D_{xy} = (\sum_{i=1}^n |x_i - y_i|^p)^{\frac{1}{p}}
\]

It can be the Manhattan distance

\[
D_{xy} = |x_1 - y_1| + |x_2 - y_2| + ... + |x_n - y_n|
\]

where $p = 1 $.

It can be the Euclidean distance

\[
D_{xy} = \sqrt{(|x_1 - y_1|)^{2} + (|x_2 - y_2|)^{2} + ... + (|x_n - y_n|)^{2}}
\]

where $p = 2 $.

Also, it can be the Chebyshev distance

\[
D_{xy} = max_{i=1}^n (|x_i - y_i|)
\]

where $p = \infty$

Write a program which reads two $n$ dimensional vectors $x$ and $y$, and calculates Minkowski's distance where $p = 1, 2, 3, \infty$ respectively.

Input

In the first line, an integer $n$ is given. In the second and third line, $x = \{x_1, x_2, ... x_n\}$ and $y = \{y_1, y_2, ... y_n\}$ are given respectively. The elements in $x$ and $y$ are given in integers.

Output

Print the distance where $p = 1, 2, 3$ and $\infty$ in a line respectively.
The output should not contain an absolute error greater than 10-5.

Constraints

$1 \leq n \leq 100$

$0 \leq x_i, y_i \leq 1000$

Sample Input

3
1 2 3
2 0 4

Sample Output

4.000000
2.449490
2.154435
2.000000

Solution in C# (judge verdict: Accepted)

using System;
using System.Collections.Generic;
using System.Linq;

class UNKO
{
    static void Main()
    {
        int num = int.Parse(Console.ReadLine());
        string[] str1 = Console.ReadLine().Split(' ');
        string[] str2 = Console.ReadLine().Split(' ');

        double[] x = Convertdouble(str1);
        double[] y = Convertdouble(str2);

        double[] abs = new double[num];

        for (int i=0;i< num;i++)
        {
            abs[i] = Math.Abs(x[i] - y[i]);
        }

        double Man = Enumerable.Sum(abs);  //

        double[] abs2 = new double[num];

        for (int i=0;i< num;i++)
        {
            abs2[i] = Math.Pow(abs[i], 2);
        }

        double u = Math.Sqrt(abs2.Sum());  //

        double[] abs3 = new double[num];

        for (int i=0; i < num;i++)
        {
            abs3[i] = Math.Pow(abs[i], 3);
        }

        
        double u2  = Math.Pow(abs3.Sum(),0.333333333333333333333333333333333);  //

        double tyev = abs.Max();  //



        Console.Write("{0}\n{1}\n{2}\n{3}\n", Man, u, u2, tyev);

     }

    static double[] Convertdouble(string[] str)
    {

        double[] x = new double[str.GetLength(0)];
        for (int i=0;i<str.GetLength(0);i++)
        {
            x[i] = double.Parse(str[i]);
        }

        return x;
    }
}