Salem gave you n sticks with integer positive lengths a_1, a_2, …, a_n.

For every stick, you can change its length to any other positive integer length (that is, either shrink or stretch it). The cost of changing the stick's length from a to b is |a - b|, where |x| means the absolute value of x.

A stick length a_i is called almost good for some integer t if |a_i - t| ≤ 1.

Salem asks you to change the lengths of some sticks (possibly all or none), such that all sticks' lengths are almost good for some positive integer t and the total cost of changing is minimum possible. The value of t is not fixed in advance and you can choose it as any positive integer. 

As an answer, print the value of t and the minimum cost. If there are multiple optimal choices for t, print any of them.

Input

The first line contains a single integer n (1 ≤ n ≤ 1000) — the number of sticks.

The second line contains n integers a_i (1 ≤ a_i ≤ 100) — the lengths of the sticks.

Output

Print the value of t and the minimum possible cost. If there are multiple optimal choices for t, print any of them.

Examples

Input


3
10 1 4


Output


3 7


Input


5
1 1 2 2 3


Output


2 0

Note

In the first example, we can change 1 into 2 and 10 into 4 with cost |1 - 2| + |10 - 4| = 1 + 6 = 7 and the resulting lengths [2, 4, 4] are almost good for t = 3.

In the second example, the sticks lengths are already almost good for t = 2, so we don't have to do anything.
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.util.Arrays;
import java.util.StringTokenizer;

public class A {

    public static void main(String[] args) throws IOException {
        Reader reader = new Reader();
        int n = reader.readIntValue();
        int[] a = reader.readIntNumbers();

        int maxT = 101;

        int minCost = Integer.MAX_VALUE;
        int resT = 0;
        for(int t = 1; t <= maxT; t++) {
            int currCost = 0;
            for(int i = 0; i < a.length; i++) {
                if(a[i] > t + 1) {
                    currCost += a[i] - (t + 1);
                } else if(a[i] < t - 1) {
                    currCost += (t - 1) - a[i];
                }
            }
            if(currCost < minCost) {
                minCost = currCost;
                resT = t;
            }
        }
        System.out.println(resT + " " + minCost);

    }
}


class Reader {

    BufferedReader bufferedReader = new BufferedReader(new InputStreamReader(System.in));

    public StringTokenizer getStringTokenizer() throws IOException {
        String line = bufferedReader.readLine().replaceAll("\\s+$", "");
        return new StringTokenizer(line, " ");
    }

    public int getNextInt(StringTokenizer stringTokenizer) {
        while (stringTokenizer.hasMoreTokens()) {
            return Integer.parseInt(stringTokenizer.nextToken());
        }
        throw new RuntimeException("no more tokens in string");
    }

    public long getNextLong(StringTokenizer stringTokenizer) {
        while (stringTokenizer.hasMoreTokens()) {
            return Long.parseLong(stringTokenizer.nextToken());
        }
        throw new RuntimeException("no more tokens in string");
    }

    public String getNextString(StringTokenizer stringTokenizer) {
        while (stringTokenizer.hasMoreTokens()) {
            return stringTokenizer.nextToken();
        }
        throw new RuntimeException("no more tokens in string");
    }

    public String readStringValue() throws IOException {
        return bufferedReader.readLine().replaceAll("\\s+$", "");
    }

    public int readIntValue() throws IOException {
        String line = bufferedReader.readLine().replaceAll("\\s+$", "");
        int parsedToInt = Integer.parseInt(line);
        return parsedToInt;
    }

    public int[] readIntNumbers() throws IOException {
        String[] line = bufferedReader.readLine().replaceAll("\\s+$", "").split(" ");
        int[] parsedToInt = Arrays.stream(line).mapToInt(Integer::parseInt).toArray();
        return parsedToInt;
    }

    public long readLongValue() throws IOException {
        String line = bufferedReader.readLine().replaceAll("\\s+$", "");
        long parsedToLong = Long.parseLong(line);
        return parsedToLong;
    }

    public long[] readLongNumbers() throws IOException {
        String[] line = bufferedReader.readLine().replaceAll("\\s+$", "").split(" ");
        long[] parsedToLong = Arrays.stream(line).mapToLong(Long::parseLong).toArray();
        return parsedToLong;
    }

}