Gargari is jealous that his friend Caisa won the game from the previous problem. He wants to prove that he is a genius.

He has a n × n chessboard. Each cell of the chessboard has a number written on it. Gargari wants to place two bishops on the chessboard in such a way that there is no cell that is attacked by both of them. Consider a cell with number x written on it, if this cell is attacked by one of the bishops Gargari will get x dollars for it. Tell Gargari, how to place bishops on the chessboard to get maximum amount of money.

We assume a cell is attacked by a bishop, if the cell is located on the same diagonal with the bishop (the cell, where the bishop is, also considered attacked by it).

Input

The first line contains a single integer n (2 ≤ n ≤ 2000). Each of the next n lines contains n integers aij (0 ≤ aij ≤ 109) — description of the chessboard.

Output

On the first line print the maximal number of dollars Gargari will get. On the next line print four integers: x1, y1, x2, y2 (1 ≤ x1, y1, x2, y2 ≤ n), where xi is the number of the row where the i-th bishop should be placed, yi is the number of the column where the i-th bishop should be placed. Consider rows are numbered from 1 to n from top to bottom, and columns are numbered from 1 to n from left to right.

If there are several optimal solutions, you can print any of them.

Examples

Input

4
1 1 1 1
2 1 1 0
1 1 1 0
1 0 0 1


Output

12
2 2 3 2
import java.awt.Point;
import java.io.BufferedReader;
import java.io.File;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.OutputStream;
import java.io.OutputStreamWriter;
import java.io.PrintWriter;
import java.math.BigInteger;
import java.util.StringTokenizer;
 
 
public class Solution{
    
    ///////////////////////////////////////////////////////////////////////////
    static class FastScanner{
        BufferedReader s;
        StringTokenizer st;
        
        public FastScanner(InputStream InputStream){
            st = new StringTokenizer("");
            s = new BufferedReader(new InputStreamReader(InputStream));
        }
        
        public FastScanner(File f) throws FileNotFoundException{
            st = new StringTokenizer("");
            s = new BufferedReader (new FileReader(f));
        }
        
        public int nextInt() throws IOException{
            if(st.hasMoreTokens())
                return Integer.parseInt(st.nextToken());
            else{
                st = new StringTokenizer(s.readLine());
                return nextInt();
            }
        }
        
        public BigInteger big() throws IOException{
            if(st.hasMoreTokens())
                return new BigInteger(st.nextToken());
            else{
                st = new StringTokenizer(s.readLine());
                return big();
            }
        }
        
        public double nextDouble() throws IOException{
            if(st.hasMoreTokens())
                return Double.parseDouble(st.nextToken());
            else{
                st = new StringTokenizer(s.readLine());
                return nextDouble();
            }
        }
      
        public long nextLong() throws IOException{
            if(st.hasMoreTokens())
                return Long.parseLong(st.nextToken());
            else{
                st = new StringTokenizer(s.readLine());
                return nextLong();
            }
        }
        
        public String nextString() throws IOException{
            if(st.hasMoreTokens())
                return st.nextToken();
            else{
                st = new StringTokenizer(s.readLine());
                return nextString();
            }
            
        }
        public String readLine() throws IOException{
            return s.readLine();
        }
        
        public void close() throws IOException{
            s.close();
        }
        
    }
    
    ////////////////////////////////////////////////////////////////////
    //      Number Theory
    
    long pow(long a,long b,long mod){
        long x = 1; long y = a;
        while(b > 0){
            if(b % 2 == 1){
                x = (x*y);
                x %= mod;
            }
            y = (y*y);
            y %= mod;
            b /= 2;         
        }
        return x;
    }
    
    int divisor(long x,long[] a){
        long limit = x;
        int numberOfDivisors = 0;
 
        for (int i=1; i < limit; ++i) {
            if (x % i == 0) {
                limit = x / i;
                if (limit != i) {
                    numberOfDivisors++;
                }
                numberOfDivisors++;
            }
        }
        return numberOfDivisors;
    }
    
    void findSubsets(int array[]){
        long numOfSubsets = 1 << array.length; 
        for(int i = 0; i < numOfSubsets; i++){    
            @SuppressWarnings("unused")
            int pos = array.length - 1;
            int bitmask = i;
            while(bitmask > 0){     
                if((bitmask & 1) == 1)
//                    ww.print(array[pos]+" ");
                bitmask >>= 1;
                pos--;
            }
//            ww.println();
        }
    }
    
    
    public static long gcd(long a, long b){
        return b == 0 ? a : gcd(b,a%b);
    }
    
  
    public static int lcm(int a,int b, int c){
        return lcm(lcm(a,b),c);
    }
    
    public static int lcm(int a, int b){
        return (int) (a*b/gcd(a,b));
    }
    
    public static long invl(long a, long mod) {
        long b = mod;
        long p = 1, q = 0;
        while (b > 0) {
            long c = a / b;
            long d;
            d = a;
            a = b;
            b = d % b;
            d = p;
            p = q;
            q = d - c * q;
        }
        return p < 0 ? p + mod : p;
    }
    
    ////////////////////////////////////////////////////////////////////
    
    
//    FastScanner s = new FastScanner(new File("input.txt"));
//    PrintWriter ww = new PrintWriter(new FileWriter("output.txt"));
    static InputStream inputStream = System.in;
    static FastScanner s = new FastScanner(inputStream); 
    static OutputStream outputStream = System.out;
    static PrintWriter ww = new PrintWriter(new OutputStreamWriter(outputStream));
//      private static Scanner s = new Scanner(System.in);
    @SuppressWarnings("unused")
    private static int[][] states = { {-1,0} , {1,0} , {0,-1} , {0,1} };
    
      
    //////////////////////////////////////////////////////////////////// 
     
    
     
    public static void main(String[] args) throws IOException{
        new Solution().solve();
        s.close();
        ww.close();
    }
    
    
    ////////////////////////////////////////////////////////////////////
   
    
    void solve() throws IOException{
        
        int n = s.nextInt();
        long[][] a = new long[n][n];
        long[] left = new long[2*n];
        long[] right = new long[2*n];
        
        for(int i=0;i<n;i++){
            for(int j=0;j<n;j++){
                a[i][j] = s.nextInt();
                left[i+j] += a[i][j];
                right[i-j+n] += a[i][j];
            }
        }
        
        long ans = Integer.MIN_VALUE;
        long sns = Integer.MIN_VALUE;
        
        Point x = new Point();
        Point y = new Point();
        
        for(int i=0;i<n;i++){
            for(int j=0;j<n;j++){
                if((i+j) % 2 == 0){
                    long an = left[i+j]+right[i-j+n]-a[i][j];
                    if(an > ans){
                        ans = an;
                        x.x = i+1; x.y = j+1;
                    }
                }else{
                    long an = left[i+j]+right[i-j+n]-a[i][j];
                    if(an > sns){
                        sns = an;
                        y.x = i+1; y.y = j+1;
                    }
                }
            }
        }
        
        ww.println(ans+sns);
        ww.println(x.x+" "+x.y+" "+y.x+" "+y.y);
        
    }
}





