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.
/* CodeForces Template v0.23 by Sergey Esipenko */
import java.io.*;
import java.util.*;
import static java.lang.Math.*;
import static java.util.Arrays.fill;
import static java.util.Arrays.sort;

public class Main implements Runnable {
	/* START OF SOLUTION */
	
	static final Random RANDOM = new Random(7777L);
	static final int N = 5;

	int answer = 0;
	int[][] g;
	
	void solve() throws IOException  {
		g = new int [N][];
		for (int i = 0; i < N; i++)
			g[i] = nextIntArray(N);
		genPerms(N);
		out.println(answer);
	}
	
	int pLen;
	boolean[] pUsed;
	int[] cPerm;

	void procCurrentPerm() {
		int cur = 0;
		for (int i = 0; i < N; i++) {
			for (int j = i; j + 1 < N; j += 2) {
				cur += g[cPerm[j]][cPerm[j + 1]];
				cur += g[cPerm[j + 1]][cPerm[j]];
			}
		}
		answer = max(answer, cur);
	}
	
	void genPerms(int len) {
		pLen = len;
		pUsed = new boolean [len];
		cPerm = new int [len];
		rec(0);
	}
	
	void rec(int pos) {
		if (pos == pLen) {
			procCurrentPerm();
		} else {
			for (int i = 0; i < pLen; i++) {
				if (!pUsed[i]) {
					pUsed[i] = true;
					cPerm[pos] = i;
					rec(pos + 1);
					pUsed[i] = false;
				}
			}
		}
	}

	/* END OF SOLUTION */
	/************************************************************************** 
	 * Entry point
	 *************************************************************************/
	
	static final Main INSTANCE = new Main();
	static final boolean WRITE_LOG = true;
	static final long STACK_SIZE = 1L << 24; // < 0 for default stack size
	
	static long initTime;
	static boolean localRun = false;
	
	@SuppressWarnings("unused")
	public static void main(String[] args) throws IOException {
		try {
			initTime = System.currentTimeMillis();
			try {
				localRun = "true".equals(System.getProperty("LOCAL_RUN_7777"));
				if (localRun && new File("input.txt").exists())
					System.setIn(new FileInputStream("input.txt"));
			} catch (SecurityException e) {
				// Can't get property. It seems that solution is running in a secure
				// environment
			}
			if (STACK_SIZE < 0L) {
				INSTANCE.run();
			} else {
				new Thread(null, INSTANCE, "Solver", 1L << 24).start();
			}
		} catch (Throwable e) {
			e.printStackTrace();
			System.exit(999);
		}
	}

	@Override
	public void run() {
		try {
			in = new BufferedReader(new InputStreamReader(System.in));
			out = new PrintWriter(System.out);
			solve();
			out.close();
			in.close();
			writeLog("Total time: "
					+ (System.currentTimeMillis() - initTime) + " ms");
			writeLog("Memory status: " + memoryStatus());
		} catch (Throwable e) {
			e.printStackTrace();
			System.exit(999);
		}
	}
	
	/**************************************************************************
	 * Input 
	 *************************************************************************/
	BufferedReader in;
	PrintWriter out;
	StringTokenizer st = new StringTokenizer("");
	
	String nextToken() throws IOException {
		while (!st.hasMoreTokens())
			st = new StringTokenizer(in.readLine());
		return st.nextToken();
	}
	
	int nextInt() throws IOException {
		return Integer.parseInt(nextToken());
	}
	
	long nextLong() throws IOException {
		return Long.parseLong(nextToken());
	}
	
	double nextDouble() throws IOException {
		return Double.parseDouble(nextToken());
	}
	
	int[] nextIntArray(int size) throws IOException {
		int[] ret = new int [size];
		for (int i = 0; i < size; i++)
			ret[i] = nextInt();
		return ret;
	}
	
	long[] nextLongArray(int size) throws IOException {
		long[] ret = new long [size];
		for (int i = 0; i < size; i++)
			ret[i] = nextLong();
		return ret;
	}
	
	double[] nextDoubleArray(int size) throws IOException {
		double[] ret = new double [size];
		for (int i = 0; i < size; i++)
			ret[i] = nextDouble();
		return ret;
	}
	
	String nextLine() throws IOException {
		st = new StringTokenizer("");
		return in.readLine();
	}
	
	boolean isEof() throws IOException {
		while (!st.hasMoreTokens()) {
			String s = in.readLine();
			if (s == null)
				return true;
			st = new StringTokenizer(s);
		}
		return false;
	}
	
	/************************************************************************** 
	 * Output 
	 *************************************************************************/
	void printRepeat(String s, int count) {
		for (int i = 0; i < count; i++)
			out.print(s);
	}
	
	void printArray(int[] array) {
		if (array == null || array.length == 0)
			return;
		for (int i = 0; i < array.length; i++) {
			if (i > 0) out.print(' ');
			out.print(array[i]);
		}
		out.println();
	}
	
	void printArray(long[] array) {
		if (array == null || array.length == 0)
			return;
		for (int i = 0; i < array.length; i++) {
			if (i > 0) out.print(' ');
			out.print(array[i]);
		}
		out.println();
	}
	
	void printArray(double[] array) {
		if (array == null || array.length == 0)
			return;
		for (int i = 0; i < array.length; i++) {
			if (i > 0) out.print(' ');
			out.print(array[i]);
		}
		out.println();
	}
	
	void printArray(double[] array, String spec) {
		if (array == null || array.length == 0)
			return;
		for (int i = 0; i < array.length; i++) {
			if (i > 0) out.print(' ');
			out.printf(Locale.US, spec, array[i]);
		}
		out.println();
	}
	
	void printArray(Object[] array) {
		if (array == null || array.length == 0)
			return;
		boolean blank = false;
		for (Object x : array) {
			if (blank) out.print(' '); else blank = true;
			out.print(x);
		}
		out.println();
	}
	
	@SuppressWarnings("rawtypes")
	void printCollection(Collection collection) {
		if (collection == null || collection.isEmpty())
			return;
		boolean blank = false;
		for (Object x : collection) {
			if (blank) out.print(' '); else blank = true;
			out.print(x);
		}
		out.println();
	}
	
	/**************************************************************************
	 * Utility
	 *************************************************************************/
	
	static String memoryStatus() {
		return (Runtime.getRuntime().totalMemory()
				- Runtime.getRuntime().freeMemory() >> 20)
				+ "/" + (Runtime.getRuntime().totalMemory() >> 20) + " MB";
	}
	
	static void checkMemory() {
		System.err.println(memoryStatus());
	}
	
	static long getRunningTime() {
		return System.currentTimeMillis() - initTime;
	}
	
	static void chk(boolean f) {
		if (!f) throw new RuntimeException("Assert failed");
	}
	
	static void chk(boolean f, String format, Object ... args) {
		if (!f) throw new RuntimeException(String.format(format, args));
	}
	
	static void writeLog(String format, Object... args) {
		if (localRun && WRITE_LOG)
			System.err.println(String.format(Locale.US, format, args));
	}
	
	static void swap(int[] a, int i, int j) {
		int tmp = a[i];
		a[i] = a[j];
		a[j] = tmp;
	}
	
	static void swap(long[] a, int i, int j) {
		long tmp = a[i];
		a[i] = a[j];
		a[j] = tmp;
	}
	
	static void swap(double[] a, int i, int j) {
		double tmp = a[i];
		a[i] = a[j];
		a[j] = tmp;
	}
	
	static void swap(Object[] a, int i, int j) {
		Object tmp = a[i];
		a[i] = a[j];
		a[j] = tmp;
	}
	
	static void shuffle(int[] a, int from, int to) {
		for (int i = from; i <= to; i++)
			swap(a, i, from + RANDOM.nextInt(i - from + 1));
	}
	
	static void shuffle(long[] a, int from, int to) {
		for (int i = from; i <= to; i++)
			swap(a, i, from + RANDOM.nextInt(i - from + 1));
	}
	
	static void shuffle(double[] a, int from, int to) {
		for (int i = from; i <= to; i++)
			swap(a, i, from + RANDOM.nextInt(i - from + 1));
	}
	
	static void shuffle(Object[] a, int from, int to) {
		for (int i = from; i <= to; i++)
			swap(a, i, from + RANDOM.nextInt(i - from + 1));
	}
	
	static void shuffle(int[] a) {
		if (a == null) return;
		shuffle(a, 0, a.length - 1);
	}
	
	static void shuffle(long[] a) {
		if (a == null) return;
		shuffle(a, 0, a.length - 1);
	}
	
	static void shuffle(double[] a) {
		if (a == null) return;
		shuffle(a, 0, a.length - 1);
	}
	
	static void shuffle(Object[] a) {
		if (a == null) return;
		shuffle(a, 0, a.length - 1);
	}
	
	static long[] getPartialSums(int[] a) {
		final long[] sums = new long [a.length + 1];
		for (int i = 0; i < a.length; i++)
			sums[i + 1] = sums[i] + a[i];
		return sums;
	}
	
	static long[] getPartialSums(long[] a) {
		final long[] sums = new long [a.length + 1];
		for (int i = 0; i < a.length; i++)
			sums[i + 1] = sums[i] + a[i];
		return sums;
	}
	
	static int[] getOrderedSet(int[] a) {
		final int[] set = Arrays.copyOf(a, a.length);
		if (a.length == 0) return set;
		shuffle(set);
		sort(set);
		int k = 1;
		int prev = set[0];
		for (int i = 1; i < a.length; i++) {
			if (prev != set[i]) {
				set[k++] = prev = set[i];
			}
		}
		return Arrays.copyOf(set, k);
	}
	
	static long[] getOrderedSet(long[] a) {
		final long[] set = Arrays.copyOf(a, a.length);
		if (a.length == 0) return set;
		shuffle(set);
		sort(set);
		int k = 1;
		long prev = set[0];
		for (int i = 1; i < a.length; i++) {
			if (prev != set[i]) {
				set[k++] = prev = set[i];
			}
		}
		return Arrays.copyOf(set, k);
	}
	
	static int gcd(int x, int y) {
		x = abs(x);
		y = abs(y);
		while (x > 0 && y > 0) {
			if (x > y) {
				x %= y;
			} else {
				y %= x;
			}
		}
		return x + y;
	}
	
	static long gcd(long x, long y) {
		x = abs(x);
		y = abs(y);
		while (x > 0 && y > 0) {
			if (x > y) {
				x %= y;
			} else {
				y %= x;
			}
		}
		return x + y;
	}
}
