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.
//package CP.Ladder11;

import java.io.*;
import java.util.*;
import java.util.stream.IntStream;

import static java.lang.Math.*;
import static java.util.Arrays.*;

@SuppressWarnings("ALL")
public class BShowerLine {
    public static void main(String[] $) throws IOException {
        BShowerLine o = new BShowerLine();
        o.main();
        out.flush();
        out.close();
    }

    void main() throws IOException {
        int[][] g = in.rim(5, 5);
        int[] pos = new int[]{0, 1, 2, 3, 4};
        int temp = 0;
        int ans = -1;

        int[] pans = new int[5];
        do {
            temp = g[pos[0]][pos[1]] + g[pos[1]][pos[0]];
            temp += g[pos[2]][pos[3]] + g[pos[3]][pos[2]];
            temp += g[pos[1]][pos[2]] + g[pos[2]][pos[1]];
            temp += g[pos[3]][pos[4]] + g[pos[4]][pos[3]];
            temp += g[pos[2]][pos[3]] + g[pos[3]][pos[2]];
            temp += g[pos[3]][pos[4]] + g[pos[4]][pos[3]];

            if (temp > ans) {
                ans = temp;
                for (int i = 0; i < 5; i++) {
                    pans[i] = pos[i];
                }
            }
        } while (nextPermutation(pos));
        out.prln(ans);
    }

    public static int[] swap(int data[], int left, int right) {

        // Swap the data
        int temp = data[left];
        data[left] = data[right];
        data[right] = temp;

        // Return the updated array
        return data;
    }


    public static int[] reverse(int data[], int left, int right) {

        // Reverse the sub-array
        while (left < right) {
            int temp = data[left];
            data[left++] = data[right];
            data[right--] = temp;
        }

        // Return the updated array
        return data;
    }

    public static boolean nextPermutation(int data[]) {

        // If the given dataset is empty
        // or contains only one element
        // next_permutation is not possible
        if (data.length <= 1)
            return false;

        int last = data.length - 2;

        // find the longest non-increasing suffix
        // and find the pivot
        while (last >= 0) {
            if (data[last] < data[last + 1]) {
                break;
            }
            last--;
        }

        // If there is no increasing pair
        // there is no higher order permutation
        if (last < 0)
            return false;

        int nextGreater = data.length - 1;

        // Find the rightmost successor to the pivot
        for (int i = data.length - 1; i > last; i--) {
            if (data[i] > data[last]) {
                nextGreater = i;
                break;
            }
        }

        // Swap the successor and the pivot
        data = swap(data, nextGreater, last);

        // Reverse the suffix
        data = reverse(data, last + 1, data.length - 1);

        // Return true as the next_permutation is done
        return true;
    }

    static BufferedReader __in = new BufferedReader(new InputStreamReader(System.in));
    static PrintWriter __out = new PrintWriter(new OutputStreamWriter(System.out));
    static StringTokenizer input;
    static Random __rand = new Random();
    // constants
    static final int IBIG = 1000000007;
    static final int IMAX = 2147483647;
    static final int IMIN = -2147483648;
    static final long LMAX = 9223372036854775807L;
    static final long LMIN = -9223372036854775808L;

    //Fast Reader Class
    /*static class FastReader {
        BufferedReader br;
        StringTokenizer st;

        public FastReader() {
            br = new BufferedReader(new
                    InputStreamReader(System.in));
        }

        String next() {
            while (st == null || !st.hasMoreElements()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (IOException e) {
                    e.printStackTrace();
                }
            }
            return st.nextToken();
        }

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

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

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

        String nextLine() {
            String str = "";
            try {
                str = br.readLine();
            } catch (IOException e) {
                e.printStackTrace();
            }
            return str;
        }
    }*/

    //Input fxs
    static class in {
        // input
        static void r() throws IOException {
            input = new StringTokenizer(rline());
        }

        static int ri() throws IOException {
            return Integer.parseInt(rline());
        }

        static long rl() throws IOException {
            return Long.parseLong(rline());
        }

        static double rd() throws IOException {
            return Double.parseDouble(rline());
        }

        static int[] ria(int n) throws IOException {
            int[] a = new int[n];
            r();
            for (int i = 0; i < n; ++i) a[i] = ni();
            return a;
        }

        static int[] riam1(int n) throws IOException {
            int[] a = new int[n];
            r();
            for (int i = 0; i < n; ++i) a[i] = ni() - 1;
            return a;
        }

        static long[] ria1i(long n) throws IOException {
            long[] a = new long[(int) n + 1];
            r();
            for (int i = 1; i <= n; i++) a[i] = nl();
            return a;
        }

        static long[] rla(int n) throws IOException {
            long[] a = new long[n];
            r();
            for (int i = 0; i < n; ++i) a[i] = nl();
            return a;
        }

        static double[] rda(int n) throws IOException {
            double[] a = new double[n];
            r();
            for (int i = 0; i < n; ++i) a[i] = nd();
            return a;
        }

        static char[] rcha() throws IOException {
            return rline().toCharArray();
        }

        static ArrayList<Integer> riaa(int n) throws IOException {
            ArrayList<Integer> a = new ArrayList<>();
            r();
            for (int i = 0; i < n; i++) a.add(ni());
            return a;
        }

        static String rline() throws IOException {
            return __in.readLine();
        }

        static String n() {
            return input.nextToken();
        }

        static int rni() throws IOException {
            r();
            return ni();
        }

        static int ni() {
            return Integer.parseInt(n());
        }

        static long rnl() throws IOException {
            r();
            return nl();
        }

        static long nl() {
            return Long.parseLong(n());
        }

        static double rnd() throws IOException {
            r();
            return nd();
        }

        static double nd() {
            return Double.parseDouble(n());
        }

        static List<List<Integer>> rg(int n, int m) throws IOException {
            List<List<Integer>> g = GR.g(n);
            for (int i = 0; i < m; ++i) GR.c(g, rni() - 1, ni() - 1);
            return g;
        }

        static void rg(List<List<Integer>> g, int m) throws IOException {
            for (int i = 0; i < m; ++i) GR.c(g, rni() - 1, ni() - 1);
        }

        static List<List<Integer>> rdg(int n, int m) throws IOException {
            List<List<Integer>> g = GR.g(n);
            for (int i = 0; i < m; ++i) GR.cto(g, rni() - 1, ni() - 1);
            return g;
        }

        static void rdg(List<List<Integer>> g, int m) throws IOException {
            for (int i = 0; i < m; ++i) GR.cto(g, rni() - 1, ni() - 1);
        }

        static List<Set<Integer>> rsg(int n, int m) throws IOException {
            List<Set<Integer>> g = GR.sg(n);
            for (int i = 0; i < m; ++i) GR.c(g, rni() - 1, ni() - 1);
            return g;
        }

        static void rsg(List<Set<Integer>> g, int m) throws IOException {
            for (int i = 0; i < m; ++i) GR.c(g, rni() - 1, ni() - 1);
        }

        static List<Set<Integer>> rdsg(int n, int m) throws IOException {
            List<Set<Integer>> g = GR.sg(n);
            for (int i = 0; i < m; ++i) GR.cto(g, rni() - 1, ni() - 1);
            return g;
        }

        static void rdsg(List<Set<Integer>> g, int m) throws IOException {
            for (int i = 0; i < m; ++i) GR.cto(g, rni() - 1, ni() - 1);
        }

        static int[][] rim(int n, int m) throws IOException {
            int[][] a = new int[n][m];
            for (int i = 0; i < n; i++) {
                in.r();
                for (int j = 0; j < m; j++) {
                    a[i][j] = in.ni();
                }
            }
            return a;
        }
    }

    //Output fxs
    static class out {
        // output
        static void pr(int i) {
            __out.print(i);
        }

        static void prln(int i) {
            __out.println(i);
        }

        static void pr(long l) {
            __out.print(l);
        }

        static void prln(long l) {
            __out.println(l);
        }

        static void pr(double d) {
            __out.print(d);
        }

        static void prln(double d) {
            __out.println(d);
        }

        static void pr(char c) {
            __out.print(c);
        }

        static void prln(char c) {
            __out.println(c);
        }

        static void pr(char[] s) {
            __out.print(new String(s));
        }

        static void prln(char[] s) {
            __out.println(new String(s));
        }

        static void pr(String s) {
            __out.print(s);
        }

        static void prln(String s) {
            __out.println(s);
        }

        static void pr(Object o) {
            __out.print(o);
        }

        static void prln(Object o) {
            __out.println(o);
        }

        static void prln() {
            __out.println();
        }

        static void pryes() {
            prln("yes");
        }

        static void pry() {
            prln("Yes");
        }

        static void prY() {
            prln("YES");
        }

        static void prno() {
            prln("no");
        }

        static void prn() {
            prln("No");
        }

        static void prN() {
            prln("NO");
        }

        static void pryesno(boolean b) {
            prln(b ? "yes" : "no");
        }

        ;

        static void pryn(boolean b) {
            prln(b ? "Yes" : "No");
        }

        static void prYN(boolean b) {
            prln(b ? "YES" : "NO");
        }

        static void prln(int... a) {
            for (int i = 0, len = a.length - 1; i < len; pr(a[i]), pr(' '), ++i) ;
            if (a.length > 0) prln(a[a.length - 1]);
            else prln();
        }

        static void prln(long... a) {
            for (int i = 0, len = a.length - 1; i < len; pr(a[i]), pr(' '), ++i) ;
            if (a.length > 0) prln(a[a.length - 1]);
            else prln();
        }

        static void prln(double... a) {
            for (int i = 0, len = a.length - 1; i < len; pr(a[i]), pr(' '), ++i) ;
            if (a.length > 0) prln(a[a.length - 1]);
            else prln();
        }

        static <T> void prln(Collection<T> c) {
            int n = c.size() - 1;
            Iterator<T> iter = c.iterator();
            for (int i = 0; i < n; pr(iter.next()), pr(' '), ++i) ;
            if (n >= 0) prln(iter.next());
            else prln();
        }

        static void h() {
            prln("hlfd");
            flush();
        }

        static void flush() {
            __out.flush();
        }

        static void close() {
            __out.close();
        }

        static void prM(int[][] a, int n, int m) {
            for (int i = 0; i < m; i++) {
                for (int j = 0; j < n; j++)
                    out.pr(a[i][j] + " ");
                out.prln();
            }
        }
    }

    //Math fxs
    static class mathx {
        // math util
        static int minof(int a, int b, int c) {
            return min(a, min(b, c));
        }

        static int minof(int... x) {
            if (x.length == 1) return x[0];
            if (x.length == 2) return min(x[0], x[1]);
            if (x.length == 3) return min(x[0], min(x[1], x[2]));
            int min = x[0];
            for (int i = 1; i < x.length; ++i) if (x[i] < min) min = x[i];
            return min;
        }

        static long minof(long a, long b, long c) {
            return min(a, min(b, c));
        }

        static long minof(long... x) {
            if (x.length == 1) return x[0];
            if (x.length == 2) return min(x[0], x[1]);
            if (x.length == 3) return min(x[0], min(x[1], x[2]));
            long min = x[0];
            for (int i = 1; i < x.length; ++i) if (x[i] < min) min = x[i];
            return min;
        }

        static int maxof(int a, int b, int c) {
            return max(a, max(b, c));
        }

        static int maxof(int... x) {
            if (x.length == 1) return x[0];
            if (x.length == 2) return max(x[0], x[1]);
            if (x.length == 3) return max(x[0], max(x[1], x[2]));
            int max = x[0];
            for (int i = 1; i < x.length; ++i) if (x[i] > max) max = x[i];
            return max;
        }

        static long maxof(long a, long b, long c) {
            return max(a, max(b, c));
        }

        static long maxof(long... x) {
            if (x.length == 1) return x[0];
            if (x.length == 2) return max(x[0], x[1]);
            if (x.length == 3) return max(x[0], max(x[1], x[2]));
            long max = x[0];
            for (int i = 1; i < x.length; ++i) if (x[i] > max) max = x[i];
            return max;
        }

        static int powi(int a, int b) {
            if (a == 0) return 0;
            int ans = 1;
            while (b > 0) {
                if ((b & 1) > 0) ans *= a;
                a *= a;
                b >>= 1;
            }
            return ans;
        }

        static long powl(long a, int b) {
            if (a == 0) return 0;
            long ans = 1;
            while (b > 0) {
                if ((b & 1) > 0) ans *= a;
                a *= a;
                b >>= 1;
            }
            return ans;
        }

        static int fli(double d) {
            return (int) d;
        }

        static int cei(double d) {
            return (int) ceil(d);
        }

        static long fll(double d) {
            return (long) d;
        }

        static long cel(double d) {
            return (long) ceil(d);
        }

        static int gcd(int a, int b) {
            return b == 0 ? a : gcd(b, a % b);
        }

        static long gcd(long a, long b) {
            return b == 0 ? a : gcd(b, a % b);
        }


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

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

        static int randInt(int min, int max) {
            return __rand.nextInt(max - min + 1) + min;
        }

        static long mix(long x) {
            x += 0x9e3779b97f4a7c15L;
            x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9L;
            x = (x ^ (x >> 27)) * 0x94d049bb133111ebL;
            return x ^ (x >> 31);
        }
    }

    //Array fxs
    static class ARR {
        // array util
        static void reverse(int[] a) {
            for (int i = 0, n = a.length, half = n / 2; i < half; ++i) {
                int swap = a[i];
                a[i] = a[n - i - 1];
                a[n - i - 1] = swap;
            }
        }

        static void reverse(long[] a) {
            for (int i = 0, n = a.length, half = n / 2; i < half; ++i) {
                long swap = a[i];
                a[i] = a[n - i - 1];
                a[n - i - 1] = swap;
            }
        }

        static void reverse(double[] a) {
            for (int i = 0, n = a.length, half = n / 2; i < half; ++i) {
                double swap = a[i];
                a[i] = a[n - i - 1];
                a[n - i - 1] = swap;
            }
        }

        static void reverse(char[] a) {
            for (int i = 0, n = a.length, half = n / 2; i < half; ++i) {
                char swap = a[i];
                a[i] = a[n - i - 1];
                a[n - i - 1] = swap;
            }
        }

        static void shuffle(int[] a) {
            int n = a.length - 1;
            for (int i = 0; i < n; ++i) {
                int ind = mathx.randInt(i, n);
                int swap = a[i];
                a[i] = a[ind];
                a[ind] = swap;
            }
        }

        static void shuffle(long[] a) {
            int n = a.length - 1;
            for (int i = 0; i < n; ++i) {
                int ind = mathx.randInt(i, n);
                long swap = a[i];
                a[i] = a[ind];
                a[ind] = swap;
            }
        }

        static void shuffle(double[] a) {
            int n = a.length - 1;
            for (int i = 0; i < n; ++i) {
                int ind = mathx.randInt(i, n);
                double swap = a[i];
                a[i] = a[ind];
                a[ind] = swap;
            }
        }

        static void rsort(int[] a) {
            shuffle(a);
            sort(a);
        }

        static void rsort(long[] a) {
            shuffle(a);
            sort(a);
        }

        static void rsort(double[] a) {
            shuffle(a);
            sort(a);
        }

        static int[] copy(int[] a) {
            int[] ans = new int[a.length];
            System.arraycopy(a, 0, ans, 0, a.length);
            return ans;
        }

        static long[] copy(long[] a) {
            long[] ans = new long[a.length];
            System.arraycopy(a, 0, ans, 0, a.length);
            return ans;
        }

        static double[] copy(double[] a) {
            double[] ans = new double[a.length];
            System.arraycopy(a, 0, ans, 0, a.length);
            return ans;
        }

        static char[] copy(char[] a) {
            char[] ans = new char[a.length];
            System.arraycopy(a, 0, ans, 0, a.length);
            return ans;
        }
    }

    //Graph fxs
    static class GR {
        // graph util
        static List<List<Integer>> g(int n) {
            List<List<Integer>> g = new ArrayList<>();
            for (int i = 0; i < n; ++i) g.add(new ArrayList<>());
            return g;
        }

        static List<Set<Integer>> sg(int n) {
            List<Set<Integer>> g = new ArrayList<>();
            for (int i = 0; i < n; ++i) g.add(new HashSet<>());
            return g;
        }

        static void c(List<? extends Collection<Integer>> g, int u, int v) {
            g.get(u).add(v);
            g.get(v).add(u);
        }

        static void cto(List<? extends Collection<Integer>> g, int u, int v) {
            g.get(u).add(v);
        }

        static void dc(List<? extends Collection<Integer>> g, int u, int v) {
            g.get(u).remove(v);
            g.get(v).remove(u);
        }

        static void dcto(List<? extends Collection<Integer>> g, int u, int v) {
            g.get(u).remove(v);
        }
    }

    //Utilsx class
    static class utilX {
        static int[] subsetSum(int[] nums) {
            int M = IntStream.of(nums).sum();
            int[] m = new int[M + 10];
            for (int i = 0; i < M + 10; i++) m[i] = 0;
            m[0] = 1;
            for (int num : nums) {
                for (int j = M; j >= num; j--) {
                    m[j] |= m[j - num];
                }
            }
            return m;
        }

        static int LIS(int[] nums) {
            int[] m = new int[nums.length];
            for (int i = nums.length - 1; i >= 0; i--) {
                m[i] = 1;
                for (int j = i + 1; j < nums.length; j++) {
                    if (nums[j] > nums[i]) {
                        m[i] = max(m[i], m[j] + 1);
                    }
                }
            }
            int ans = 0;
            for (int i = 0; i < nums.length; i++) {
                ans = max(ans, m[i]);
            }
            return ans;
        }
    }

    //Pair Class
    static class Pair<F, S> {
        public final F first;
        public final S second;

        public Pair(F first, S second) {
            this.first = first;
            this.second = second;
        }

        @Override
        public boolean equals(Object o) {
            if (!(o instanceof Pair)) {
                return false;
            }
            Pair<?, ?> p = (Pair<?, ?>) o;
            return Objects.equals(p.first, first) && Objects.equals(p.second, second);
        }
    }
}
