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
/*
Keep solving problems. 
*/
import java.util.*;
import java.io.*;

public class CFA {

    BufferedReader br;
    PrintWriter out;
    StringTokenizer st;
    boolean eof;
    final long MOD = 1000L * 1000L * 1000L * 2 + 7;
    int[] dx = {-1, 1, 0, 0};
    int[] dy = {0, 0, -1, 1};

    void solve() throws IOException {
        int n = nextInt();
        long[][] mat = new long[n][n];
        for (int i = 0; i < n; i++) {
            mat[i] = nextLongArr(n);
        }

        int mid = 5000;
        long[] sum = new long[2 * mid];
        long[] diff = new long[2 * mid];
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < n; j++) {
                sum[i + j + mid] += mat[i][j];
                diff[i - j + mid] += mat[i][j];
            }
        }

        long ans1 = -1;
        int x1 = -1;
        int y1 = -1;
        long ans2 = -1;
        int x2 = -1;
        int y2 = -1;
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < n; j++) {
                int s = i + j;
                if (s % 2 == 0) {
                    long s1 = sum[i + j + mid] + diff[i - j + mid] - mat[i][j];
                    if (s1 > ans1) {
                        ans1 = s1;
                        x1 = i;
                        y1 = j;
                    }
                }
                else {
                    long s2 = sum[i + j + mid] + diff[i - j + mid] - mat[i][j];
                    if (s2 > ans2) {
                        ans2 = s2;
                        x2 = i;
                        y2 = j;
                    }
                }
            }
        }

        x1++;
        y1++;
        x2++;
        y2++;
        outln(ans1 + ans2);
        out(x1 + " " + y1 + " " + x2 + " " + y2);
    }

    void shuffle(int[] a) {
        int n = a.length;
        for(int i = 0; i < n; i++) {
            int r = i + (int) (Math.random() * (n - i));
            int tmp = a[i];
            a[i] = a[r];
            a[r] = tmp;
        }
    }

    int gcd(int a, int b) {
        while(a != 0 && b != 0) {
            int c = b;
            b = a % b;
            a = c;
        }
        return a + b;
    }

    private void outln(Object o) {
        out.println(o);
    }
    private void out(Object o) {
        out.print(o);
    }
    public CFA() throws IOException {
        br = new BufferedReader(new InputStreamReader(System.in));
        out = new PrintWriter(System.out);
        solve();
        out.close();
    }
    public static void main(String[] args) throws IOException {
        new CFA();
    }

    public long[] nextLongArr(int n) throws IOException{
        long[] res = new long[n];
        for(int i = 0; i < n; i++)
            res[i] = nextLong();
        return res;
    }
    public int[] nextIntArr(int n) throws IOException {
        int[] res = new int[n];
        for(int i = 0; i < n; i++)
            res[i] = nextInt();
        return res;
    }
    public String nextToken() {
        while (st == null || !st.hasMoreTokens()) {
            try {
                st = new StringTokenizer(br.readLine());
            } catch (Exception e) {
                eof = true;
                return null;
            }
        }
        return st.nextToken();
    }
    public String nextString() {
        try {
            return br.readLine();
        } catch (IOException e) {
            eof = true;
            return null;
        }
    }
    public int nextInt() throws IOException {
        return Integer.parseInt(nextToken());
    }
    public long nextLong() throws IOException {
        return Long.parseLong(nextToken());
    }
    public double nextDouble() throws IOException {
        return Double.parseDouble(nextToken());
    }
}

