Many students live in a dormitory. A dormitory is a whole new world of funny amusements and possibilities but it does have its drawbacks. 

There is only one shower and there are multiple students who wish to have a shower in the morning. That's why every morning there is a line of five people in front of the dormitory shower door. As soon as the shower opens, the first person from the line enters the shower. After a while the first person leaves the shower and the next person enters the shower. The process continues until everybody in the line has a shower.

Having a shower takes some time, so the students in the line talk as they wait. At each moment of time the students talk in pairs: the (2i - 1)-th man in the line (for the current moment) talks with the (2i)-th one. 

Let's look at this process in more detail. Let's number the people from 1 to 5. Let's assume that the line initially looks as 23154 (person number 2 stands at the beginning of the line). Then, before the shower opens, 2 talks with 3, 1 talks with 5, 4 doesn't talk with anyone. Then 2 enters the shower. While 2 has a shower, 3 and 1 talk, 5 and 4 talk too. Then, 3 enters the shower. While 3 has a shower, 1 and 5 talk, 4 doesn't talk to anyone. Then 1 enters the shower and while he is there, 5 and 4 talk. Then 5 enters the shower, and then 4 enters the shower.

We know that if students i and j talk, then the i-th student's happiness increases by gij and the j-th student's happiness increases by gji. Your task is to find such initial order of students in the line that the total happiness of all students will be maximum in the end. Please note that some pair of students may have a talk several times. In the example above students 1 and 5 talk while they wait for the shower to open and while 3 has a shower.

Input

The input consists of five lines, each line contains five space-separated integers: the j-th number in the i-th line shows gij (0 ≤ gij ≤ 105). It is guaranteed that gii = 0 for all i.

Assume that the students are numbered from 1 to 5.

Output

Print a single integer — the maximum possible total happiness of the students.

Examples

Input

0 0 0 0 9
0 0 0 0 0
0 0 0 0 0
0 0 0 0 0
7 0 0 0 0


Output

32


Input

0 43 21 18 2
3 0 21 11 65
5 2 0 1 4
54 62 12 0 99
87 64 81 33 0


Output

620

Note

In the first sample, the optimal arrangement of the line is 23154. In this case, the total happiness equals:

(g23 + g32 + g15 + g51) + (g13 + g31 + g54 + g45) + (g15 + g51) + (g54 + g45) = 32.

import java.io.BufferedReader;
import java.io.FileNotFoundException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.StringTokenizer;

/*
 * To change this template, choose Tools | Templates
 * and open the template in the editor.
 */
/**
 * 6
 * 1 0
 * 0 0
 * 0 0
 * 1 1
 * 0 1
 * 1 1
 *
 * @author pttrung
 */
public class B {

    public static int[] x = {1, 0, -1, 0, -1, 1, 1, -1};
    public static int[] y = {0, -1, 0, 1, 1, -1, 1, -1};

    public static void main(String[] args) throws FileNotFoundException {
        PrintWriter out;

        Scanner in = new Scanner();
        //out = new PrintWriter(new FileOutputStream(new File("output.txt")));
        out = new PrintWriter(System.out);
        int [][]map = new int[5][5];
        for(int i = 0; i < 5; i++){
            for(int j = 0; j < 5; j++){
                map[i][j] = in.nextInt();
            }
        }
        int []data = {0,1,2,3,4};
        int result = 0;
        do{
            int tmp = 0;
            tmp += map[data[0]][data[1]] + map[data[1]][data[0]];
            tmp += map[data[1]][data[2]] + map[data[2]][data[1]];
            tmp += 2*(map[data[2]][data[3]] + map[data[3]][data[2]]);
            tmp += 2*(map[data[3]][data[4]] + map[data[4]][data[3]]);
            result = Math.max(result, tmp);
        }while(nextPer(data));
        out.println(result);
        out.close();
    }

    public static long gcd(long a, long b) {
        if (b == 0) {
            return a;
        }
        return gcd(b, a % b);
    }

    public static double cal(int n, int m) {
        if (m == 0) {
            return 0;
        }

        return (double) (n + (m * cal(n, m - 1))) / m;
    }

    public static Line getLine(Point a, Point b) {
        int c = (a.x - b.x);
        int d = (a.y - b.y);
        if (c == 0) {
            return new Line(1, 0, -a.x);
        } else if (d == 0) {
            return new Line(0, 1, -a.y);
        } else {
            double rate = (double) (-d) / c;

            double other = ((double) rate * a.x) + a.y;
            //System.out.println(a + "|" + b + ": " + rate + " " + other);
            return new Line(rate, 1, -other);
        }
    }

    public static class Line {

        double a, b, c;

        public Line(double a, double b, double c) {
            this.a = a;
            this.b = b;
            this.c = c;
        }

        @Override
        public int hashCode() {
            int hash = 7;
            hash = 47 * hash + (int) (Double.doubleToLongBits(this.a) ^ (Double.doubleToLongBits(this.a) >>> 32));
            hash = 47 * hash + (int) (Double.doubleToLongBits(this.b) ^ (Double.doubleToLongBits(this.b) >>> 32));
            hash = 47 * hash + (int) (Double.doubleToLongBits(this.c) ^ (Double.doubleToLongBits(this.c) >>> 32));
            return hash;
        }

        @Override
        public boolean equals(Object obj) {
            if (obj == null) {
                return false;
            }
            if (getClass() != obj.getClass()) {
                return false;
            }
            final Line other = (Line) obj;
            if (Double.doubleToLongBits(this.a) != Double.doubleToLongBits(other.a)) {
                return false;
            }
            if (Double.doubleToLongBits(this.b) != Double.doubleToLongBits(other.b)) {
                return false;
            }
            if (Double.doubleToLongBits(this.c) != Double.doubleToLongBits(other.c)) {
                return false;
            }
            return true;
        }

        @Override
        public String toString() {
            return a + " " + b + " " + c;
        }
    }

    static class FT {

        int[] data;

        FT(int n) {
            data = new int[n];
        }

        void update(int index, int val) {
            // System.out.println("UPDATE INDEX " + index);
            while (index < data.length) {
                data[index] += val;
                index += index & (-index);

                //    System.out.println("NEXT " +index);
            }
        }

        int get(int index) {
            //  System.out.println("GET INDEX " + index);
            int result = 0;
            while (index > 0) {
                result += data[index];
                index -= index & (-index);
                // System.out.println("BACK " + index);
            }
            return result;
        }
    }

    public static double dist(Point a, Point b) {
        double val = (a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y);
        return Math.sqrt(val);
    }

    public static class Point {

        int x, y;

        public Point(int x, int y) {
            this.x = x;
            this.y = y;
        }

        @Override
        public String toString() {
            return x + " " + y;
        }
    }

    public static boolean nextPer(int[] data) {
        int i = data.length - 1;
        while (i > 0 && data[i] < data[i - 1]) {
            i--;
        }
        if (i == 0) {
            return false;
        }
        int j = data.length - 1;
        while (data[j] < data[i - 1]) {
            j--;
        }
        int temp = data[i - 1];
        data[i - 1] = data[j];
        data[j] = temp;
        Arrays.sort(data, i, data.length);
        return true;
    }

    public static long pow(int a, int b) {
        if (b == 0) {
            return 1;
        }
        if (b == 1) {
            return a;
        }
        long val = pow(a, b / 2);
        if (b % 2 == 0) {
            return val * val;
        } else {
            return val * val * a;
        }
    }

    public static long lcm(long a, long b) {
        return a * b / gcd(a, b);
    }

    static class Scanner {

        BufferedReader br;
        StringTokenizer st;

        public Scanner() throws FileNotFoundException {
            // System.setOut(new PrintStream(new BufferedOutputStream(System.out), true));
            br = new BufferedReader(new InputStreamReader(System.in));
            //  br = new BufferedReader(new FileReader(new File("output.txt")));
        }

        public String next() {

            while (st == null || !st.hasMoreTokens()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (Exception e) {
                    throw new RuntimeException();
                }
            }
            return st.nextToken();
        }

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

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

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

        public String nextLine() {
            st = null;
            try {
                return br.readLine();
            } catch (Exception e) {
                throw new RuntimeException();
            }
        }

        public boolean endLine() {
            try {
                String next = br.readLine();
                while (next != null && next.trim().isEmpty()) {
                    next = br.readLine();
                }
                if (next == null) {
                    return true;
                }
                st = new StringTokenizer(next);
                return st.hasMoreTokens();
            } catch (Exception e) {
                throw new RuntimeException();
            }
        }
    }
}
