Vasya works as a watchman in the gallery. Unfortunately, one of the most expensive paintings was stolen while he was on duty. He doesn't want to be fired, so he has to quickly restore the painting. He remembers some facts about it.

  * The painting is a square 3 × 3, each cell contains a single integer from 1 to n, and different cells may contain either different or equal integers. 
  * The sum of integers in each of four squares 2 × 2 is equal to the sum of integers in the top left square 2 × 2. 
  * Four elements a, b, c and d are known and are located as shown on the picture below. 

<image>

Help Vasya find out the number of distinct squares the satisfy all the conditions above. Note, that this number may be equal to 0, meaning Vasya remembers something wrong.

Two squares are considered to be different, if there exists a cell that contains two different integers in different squares.

Input

The first line of the input contains five integers n, a, b, c and d (1 ≤ n ≤ 100 000, 1 ≤ a, b, c, d ≤ n) — maximum possible value of an integer in the cell and four integers that Vasya remembers.

Output

Print one integer — the number of distinct valid squares.

Examples

Input

2 1 1 1 2


Output

2


Input

3 3 1 2 3


Output

6

Note

Below are all the possible paintings for the first sample. <image> <image>

In the second sample, only paintings displayed below satisfy all the rules. <image> <image> <image> <image> <image> <image>
import java.io.*;
import java.util.*;

public class Main {
    private final static InputReader ir = new InputReader(System.in);
    private final static PrintWriter ow = new PrintWriter(System.out);

    public static void main(String[] args) throws IOException {
        int n = ir.ni();
        int a = ir.ni(), b = ir.ni(), c = ir.ni(), d = ir.ni();
        long cnt = 0;
        for (int i = 1; i <= n; ++i) {
            int s = a + b + i;
            int rt = s - a - c;
            int rb = s - c - d;
            int lb = s - b - d;
            if (rt > 0 && rb > 0 && lb > 0 && rt <= n && rb <= n && lb <= n) {
                ++cnt;
            }
        }
        cnt *= n;
        System.out.println(cnt);
    }
}

class InputReader implements AutoCloseable {
    private final InputStream in;
    private int capacity;
    private byte[] buffer;
    private int len = 0;
    private int cur = 0;

    InputReader(InputStream stream) {
        this(stream, 100_000);
    }

    InputReader(InputStream stream, int capacity) {
        this.in = stream;
        this.capacity = capacity;
        buffer = new byte[capacity];
    }

    private boolean update() {
        if (cur >= len) {
            try {
                cur = 0;
                len = in.read(buffer, 0, capacity);
                if (len <= 0)
                    return false;
            } catch (IOException e) {
                throw new InputMismatchException();
            }
        }
        return true;
    }

    private int read() {
        if (update())
            return buffer[cur++];
        else return -1;
    }

    public boolean isEmpty() {
        return !update();
    }

    private boolean isSpace(int c) {
        return c == '\n' || c == '\t' || c == '\r' || c == ' ';
    }

    private boolean isEscape(int c) {
        return c == '\n' || c == '\t' || c == '\r' || c == -1;
    }

    private int readSkipSpace() {
        int c;
        do {
            c = read();
        } while (isSpace(c));
        return c;
    }

    int ni() {
        int c = readSkipSpace();
        if (c < 0)
            throw new InputMismatchException();
        int sgn = 1;
        if (c == '-') {
            sgn = -1;
            c = read();
        }
        int res = 0;
        do {
            if (c == -1) break;
            if (c < '0' || c > '9')
                throw new InputMismatchException();
            res = res * 10 + c - '0';
            if (res < 0)
                throw new InputMismatchException();
            c = read();
        } while (!isSpace(c));
        res *= sgn;
        return res;
    }

    int nc() {
        int c = readSkipSpace();
        if (c < 0)
            throw new InputMismatchException();
        return c;
    }

    String ns(int initialCapacity) {
        StringBuilder res = new StringBuilder(initialCapacity);
        int c = readSkipSpace();
        do {
            res.append((char) (c));
            c = read();
        } while (!isEscape(c));
        return res.toString();
    }

    @Override
    public void close() throws IOException {
        in.close();
    }
}