Problem: Professor GukiZ has two arrays of integers, a and b. Professor wants to make the sum of the elements in the array a sa as close as possible to the sum of the elements in the array b sb. So he wants to minimize the value v = |sa - sb|.

In one operation professor can swap some element from the array a and some element from the array b. For example if the array a is [5, 1, 3, 2, 4] and the array b is [3, 3, 2] professor can swap the element 5 from the array a and the element 2 from the array b and get the new array a [2, 1, 3, 2, 4] and the new array b [3, 3, 5].

Professor doesn't want to make more than two swaps. Find the minimal value v and some sequence of no more than two swaps that will lead to the such value v. Professor makes swaps one by one, each new swap he makes with the new arrays a and b.

Input

The first line contains integer n (1 ≤ n ≤ 2000) — the number of elements in the array a.

The second line contains n integers ai ( - 109 ≤ ai ≤ 109) — the elements of the array a.

The third line contains integer m (1 ≤ m ≤ 2000) — the number of elements in the array b.

The fourth line contains m integers bj ( - 109 ≤ bj ≤ 109) — the elements of the array b.

Output

In the first line print the minimal value v = |sa - sb| that can be got with no more than two swaps.

The second line should contain the number of swaps k (0 ≤ k ≤ 2).

Each of the next k lines should contain two integers xp, yp (1 ≤ xp ≤ n, 1 ≤ yp ≤ m) — the index of the element in the array a and the index of the element in the array b in the p-th swap.

If there are several optimal solutions print any of them. Print the swaps in order the professor did them.

Examples

Input

5
5 4 3 2 1
4
1 1 1 1


Output

1
2
1 1
4 2


Input

5
1 2 3 4 5
1
15


Output

0
0


Input

5
1 2 3 4 5
4
1 2 3 4


Output

1
1
3 1

Solution (in JAVA):

Solution:
import java.io.BufferedReader;
import java.io.FileReader;
import java.io.FileWriter;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.lang.reflect.Array;
import java.math.BigInteger;
import java.security.interfaces.DSAKey;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collection;
import java.util.Collections;
import java.util.HashMap;
import java.util.HashSet;
import java.util.LinkedList;
import java.util.PriorityQueue;
import java.util.Queue;
import java.util.Scanner;
import java.util.Stack;
import java.util.StringTokenizer;
import java.util.TreeMap;
import java.util.TreeSet;

public class ProfessorGukiZandTwoArrays {
	public static class node {

		int idx1;
		int idx2;

		node(int i1, int i2) {

			idx1 = i1;
			idx2 = i2;
		}

	}

	public static class point implements Comparable<point> {
		long sum;
		int idx1;
		int idx2;

		point(int s, int i1, int i2) {
			sum = s;
			idx1 = i1;
			idx2 = i2;
		}

		@Override
		public int compareTo(point o) {
			if (o.sum < sum)
				return 1;
			else if (o.sum > sum)
				return -1;
			return 0;
		}

	}

	public static class input {
		static BufferedReader reader;
		static StringTokenizer tokenizer;

		static void init(InputStream input) {
			reader = new BufferedReader(new InputStreamReader(input));
			tokenizer = new StringTokenizer("");
		}

		static String next() throws IOException {
			while (!tokenizer.hasMoreTokens())
				tokenizer = new StringTokenizer(reader.readLine());
			return tokenizer.nextToken();
		}

		static int nextInt() throws IOException {
			return Integer.parseInt(next());
		}

		static double nextDouble() throws IOException {
			return Double.parseDouble(next());
		}

		static long nextLong() throws IOException {
			return Long.parseLong(next());
		}
	}

	public static void main(String[] args) throws IOException {
		// BufferedReader in = new BufferedReader(new
		// InputStreamReader(System.in));
		StringBuilder qq = new StringBuilder();
		// PrintWriter out = new PrintWriter(new
		// OutputStreamWriter(System.out));
		// PrintWriter out = new PrintWriter(new FileWriter("out.txt"));
		input.init(System.in);
		PrintWriter out = new PrintWriter(System.out);
		int n = input.nextInt();

		int a[] = new int[n];
		long sa = 0;
		long sb = 0;
		for (int i = 0; i < a.length; i++) {
			a[i] = input.nextInt();
			sa += (long) a[i];
		}
		int m = input.nextInt();

		int b[] = new int[m];
		for (int i = 0; i < m; i++) {
			b[i] = input.nextInt();
			sb += (long) b[i];
		}

		long min = Math.abs(sb - sa);
		int ans = 0;
		int idx1 = -1;
		int idx2 = -1;
		int idx3 = -1;
		int idx4 = -1;

		for (int i = 0; i < n; i++) {
			for (int j = 0; j < m; j++) {
				long aa = sa - sb - 2 * (long) a[i] + 2 * (long) b[j];
				if (Math.abs(aa) < min) {
					min = Math.abs(aa);
					ans = 1;
					idx1 = i + 1;
					idx2 = j + 1;
				}
			}
		}
		ArrayList<point> set1 = new ArrayList();
		for (int i = 0; i < n; i++) {
			if (min == 0)
				break;
			for (int j = i + 1; j < n; j++) {
				int put = a[i] + a[j];
				set1.add(new point(put, i, j));
			}
		}
		ArrayList<point> set2 = new ArrayList();
		for (int i = 0; i < m; i++) {
			if (min == 0)
				break;
			for (int j = i + 1; j < m; j++) {
				set2.add(new point(b[i] + b[j], i, j));
			}
		}
		Collections.sort(set1);
		Collections.sort(set2);
		int it = 0;
		for (int i = 0; i < set1.size(); i++) {
			int j;
			for (j = it; j < set2.size(); j++) {
				long delta = sa - sb - 2 * set1.get(i).sum + 2
						* set2.get(j).sum;
				if (Math.abs(delta) < min) {
					min = Math.abs(delta);
					ans = 2;
					idx1 = set1.get(i).idx1 + 1;
					idx2 = set2.get(j).idx1 + 1;
					idx3 = set1.get(i).idx2 + 1;
					idx4 = set2.get(j).idx2 + 1;
				}

				if (delta >= 0)
					break;
			}
			it = j;
			if (it == set2.size())
				break;

		}

		out.println(min);
		out.println(ans);
		if (ans == 1) {
			out.println(idx1 + " " + idx2);
		} else if (ans == 2) {
			out.println(idx1 + " " + idx2);
			out.println(idx3 + " " + idx4);
		}

		out.close();

	}
}