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.util.*;
import java.io.*;
public class TwoArrays
{

    /************************ SOLUTION STARTS HERE ************************/

    //DONT FORGET TO COMMIT AND PUSH TO GITHUB
    static class payload implements Comparable<payload>
    {
	long key;
	int i,j;
	public payload(long key,int i,int j) {
	    this.key = key;
	    this.i = i;
	    this.j = j;
	}
	@Override
	public int compareTo(payload o) {
	    return (this.key==o.key)?0:(this.key>o.key)?1:-1;
	}
    }

    private static long[] oneSwap(long a[],long b[])
    {
	long sumA = 0;
	long sumB = 0;
	for(long i:a)
	    sumA+=i;
	for(long i:b)
	    sumB+=i;

	if(sumA-sumB==0)
	    return null;
	else
	{
	    long min = Math.abs(sumA - sumB);	    
	    long ans[] = new long[3];
	    ans[0] = min;
	    ans[1] = 0;
	    ans[2] = 0;
	    for(int i=1,n=a.length;i<n;i++)
	    {
		for(int j=1,m=b.length;j<m;j++)
		{
		    long newSumA = sumA - a[i] + b[j];
		    long newSumB = sumB - b[j] + a[i];
		    long diff = Math.abs(newSumA - newSumB);
		    if(diff < min)
		    {
			min = diff;
			ans[0] = diff;
			ans[1] = i;
			ans[2] = j;
		    }
		}
	    }
	    return ans;
	}
    }

    private static void solve(FastScanner s1, FastWriter out){

	int n = s1.nextInt();
	long a[] = s1.nextLongArray(n, 1);	
	int m = s1.nextInt();
	long b[] = s1.nextLongArray(m, 1);
	long oneSwapAns [] = oneSwap(a, b);
	if(oneSwapAns == null)
	{
	    out.print("0\n0");
	}
	else
	{
	    if(n==1 || m==1)
	    {
		out.println(oneSwapAns[0]);
		if(oneSwapAns[1] == 0)
		    out.print("0");
		else
		{
		    out.println("1");
		    out.print(oneSwapAns[1]+" "+oneSwapAns[2]);
		}
	    }
	    else
	    {
		long sumA = 0L;
		long sumB = 0L;
		for(long i:a)
		    sumA+=i;
		for(long i:b)
		    sumB+=i;
		long min = oneSwapAns[0];
		boolean change = false;
		long ans[] = new long[4];
		int len_a1 = ((n* (n-1) / 2));
		int len_a2 = ((m* (m-1) / 2));
		ArrayList<payload> a1 = new ArrayList<>(len_a1);
		ArrayList<payload> a2 = new ArrayList<>(len_a2);
		long diff = -1;
		int ctA=0,ctB=0;
		for(int i=1;i<n;i++)
		{
		    for(int j=i+1;j<=n;j++)
		    {
			long k = sumA - (2L*(a[i] + a[j]));
			a1.add(new payload(k, i, j));
		    }
		}
		for(int i=1;i<m;i++)
		{
		    for(int j=i+1;j<=m;j++)
		    {
			long k = sumB - (2L * (b[i] + b[j]));
			a2.add(new payload(k, i, j));
		    }
		}
		boolean swap = false;
		if(a1.size() < a2.size())
		{
		    ArrayList<payload> temp = a1;
		    a1 = a2;
		    a2 = temp;	
		    swap = true;
		}
		Collections.sort(a2);
		ctB = a2.size();
		for(payload p:a1)
		{
		    long kA = p.key;
		    //payload ceil = setB.ceiling(p);
		    //payload floor =setB.floor(p);
		    int index = Collections.binarySearch(a2, p);
		    index = index<0?-index - 1:index;
		    if(index != ctB)
		    {
			long kB = a2.get(index).key;
			diff = Math.abs(kA - kB);
			//out.println("kA "+kA+" kB "+kB);
			if(diff < min)
			{
			    min = diff;
			    ans[0] = p.i;ans[1] = a2.get(index).i;
			    ans[2] = p.j;ans[3] = a2.get(index).j;
			    if(swap)
			    {
				ans[0] = a2.get(index).i;ans[1] = p.i;
				ans[2] = a2.get(index).j;ans[3] = p.j;
			    }
			    change = true;
			}
		    }
		    if(index != 0)
		    {
			long kB = a2.get(index-1).key;
			diff = Math.abs(kA - kB);
			//out.println("kA "+kA+" kB "+kB);
			if(diff < min)
			{
			    min = diff;
			    ans[0] = p.i;ans[1] = a2.get(index-1).i;
			    ans[2] = p.j;ans[3] = a2.get(index-1).j;
			    if(swap)
			    {
				    ans[0] = a2.get(index-1).i;ans[1] = p.i;
				    ans[2] = a2.get(index-1).j;ans[3] = p.j;
			    }
			    change = true;
			}
		    }
		}
		if(change)
		{
		    out.println(min);
		    out.println("2");
		    out.println(ans[0]+" "+ans[1]);
		    out.println(ans[2]+" "+ans[3]);
		}
		else
		{
		    out.println(oneSwapAns[0]);
		    out.println("1");
		    out.print(oneSwapAns[1]+" "+oneSwapAns[2]);
		}
	    }
	}
    }

    /************************ SOLUTION ENDS HERE ************************/



    /************************ TEMPLATE STARTS HERE ************************/

    public static void main(String []args) throws IOException {
	FastScanner in  = new FastScanner(System.in);
	FastWriter  out = new FastWriter(System.out);
	solve(in, out);
	in.close();
	out.close();
    }    

    static class FastScanner{
	public BufferedReader reader;
	public StringTokenizer st;
	public FastScanner(InputStream stream){
	    reader = new BufferedReader(new InputStreamReader(stream));
	    st = null;
	}
	public String next(){
	    while(st == null || !st.hasMoreTokens()){
		try{
		    String line = reader.readLine();
		    if(line == null) return null;
		    st = new StringTokenizer(line);
		}catch (Exception e){
		    throw (new RuntimeException());
		}
	    }
	    return st.nextToken();
	}
	public String nextLine(){
	    String str = null;
	    try {
		str = reader.readLine();
	    } catch (IOException e) {
		e.printStackTrace();
	    }
	    return str;
	}
	public int nextInt(){
	    return Integer.parseInt(next());
	}
	public long nextLong(){
	    return Long.parseLong(next());
	}
	public double nextDouble(){
	    return Double.parseDouble(next());
	}
	int[] nextIntArray(int n) {
	    int[] arr = new int[n];
	    for (int i = 0; i < n; i++) {
		arr[i] = nextInt();
	    }
	    return arr;
	}

	long[] nextLongArray(int len,int start) {
	    long[] arr = new long[len+start];
	    for (int i = start; i < len+start; i++) {
		arr[i] = nextLong();
	    }
	    return arr;
	}
	public void close(){	
	    try{ reader.close(); } catch(IOException e){e.printStackTrace();}
	}
    }
    static class FastWriter{
	BufferedWriter writer;
	public FastWriter(OutputStream stream){
	    writer = new BufferedWriter(new OutputStreamWriter(stream));
	}
	public void print(int i) {
	    print(Integer.toString(i));
	}
	public void println(int i) {
	    print(Integer.toString(i));
	    print('\n');
	}
	public void print(long i) {
	    print(Long.toString(i));
	}
	public void println(long i) {
	    print(Long.toString(i));
	    print('\n');
	}
	public void print(double i) {
	    print(Double.toString(i));
	}
	public void print(boolean i) {
	    print(Boolean.toString(i));
	}
	public void print(char i) {
	    try{writer.write(i);} catch(IOException e){e.printStackTrace();}
	}
	public void print(String s){
	    try{writer.write(s);} catch(IOException e){e.printStackTrace();}
	}
	public void println(String s){
	    try{writer.write(s);writer.write('\n');} catch(IOException e){e.printStackTrace();}
	}
	public void println(){
	    try{writer.write('\n');} catch(IOException e){e.printStackTrace();}
	}
	public void print(int arr[])
	{
	    for (int i = 0; i < arr.length; i++) {
		print(arr[i]);
		print(' ');
	    }
	}
	public void close(){
	    try{writer.close();} catch(IOException e){e.printStackTrace();}
	}
    }

    /************************ TEMPLATE ENDS HERE ************************/
}