In Berland each high school student is characterized by academic performance — integer value between 1 and 5.

In high school 0xFF there are two groups of pupils: the group A and the group B. Each group consists of exactly n students. An academic performance of each student is known — integer value between 1 and 5.

The school director wants to redistribute students between groups so that each of the two groups has the same number of students whose academic performance is equal to 1, the same number of students whose academic performance is 2 and so on. In other words, the purpose of the school director is to change the composition of groups, so that for each value of academic performance the numbers of students in both groups are equal.

To achieve this, there is a plan to produce a series of exchanges of students between groups. During the single exchange the director selects one student from the class A and one student of class B. After that, they both change their groups.

Print the least number of exchanges, in order to achieve the desired equal numbers of students for each academic performance.

Input

The first line of the input contains integer number n (1 ≤ n ≤ 100) — number of students in both groups.

The second line contains sequence of integer numbers a1, a2, ..., an (1 ≤ ai ≤ 5), where ai is academic performance of the i-th student of the group A.

The third line contains sequence of integer numbers b1, b2, ..., bn (1 ≤ bi ≤ 5), where bi is academic performance of the i-th student of the group B.

Output

Print the required minimum number of exchanges or -1, if the desired distribution of students can not be obtained.

Examples

Input

4
5 4 4 4
5 5 4 5


Output

1


Input

6
1 1 1 1 1 1
5 5 5 5 5 5


Output

3


Input

1
5
3


Output

-1


Input

9
3 2 5 5 2 3 3 3 2
4 1 4 1 1 2 4 4 1


Output

4

import java.io.*;
import java.util.Arrays;
import java.util.StringTokenizer;

/**
 * Created by brkuma on 2/26/2017.
 */

public class Task779A {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        PrintWriter out = new PrintWriter(outputStream);
        Task779A solver = new Task779A();
        solver.solve(in, out);
        out.flush();
        out.close();
    }

    public void solve(InputReader in, PrintWriter out) {
        // Main Code goes here
        int n = in.nextInt();
        int[] A = in.nextInt1D(n);
        int[] B = in.nextInt1D(n);

        int[] CA = new int[6];
        int[] CB = new int[6];
        Arrays.fill(CA, 0);
        Arrays.fill(CB, 0);
        for (int i = 0; i < n; i++) {
            CA[A[i]]++;
            CB[B[i]]++;
        }

        int give = 0;
        int take = 0;
        for (int i = 1; i < CA.length; i++) {
            int diff = CA[i] - CB[i];
            if (Math.abs(diff) % 2 == 1) { // if score can't be distributed
                out.println(-1);
                return;
            }
            if (diff > 0) {
                give += diff;
            } else {
                take -= diff;
            }
        }
        if (give == take) {
            out.println(give / 2);
        } else {
            out.println(-1);
        }
    }

    static class InputReader {
        private BufferedReader reader;
        private StringTokenizer stt;

        public InputReader(InputStream stream) {
            reader = new BufferedReader(new InputStreamReader(stream));
        }

        public String nextLine() {
            try {
                return reader.readLine();
            } catch (IOException e) {
                return null;
            }
        }

        public String nextString() {
            while (stt == null || !stt.hasMoreTokens()) {
                stt = new StringTokenizer(nextLine());
            }
            return stt.nextToken();
        }

        public int nextInt() {
            return Integer.parseInt(nextString());
        }

        public long nextLong() {
            return Long.parseLong(nextString());
        }

        public double nextDouble() {
            return Double.parseDouble(nextString());
        }

        public int[] nextInt1D(int n) {
            int[] ans = new int[n];
            for (int i = 0; i < n; i++) {
                ans[i] = nextInt();
            }
            return ans;
        }
    }


    static class ArrayUtils {
        public static void fill(int[][] f, int value) {
            for (int i = 0; i < f.length; ++i) {
                Arrays.fill(f[i], value);
            }
        }

    }
}