JATC and his friend Giraffe are currently in their room, solving some problems. Giraffe has written on the board an array a_1, a_2, ..., a_n of integers, such that 1 ≤ a_1 < a_2 < … < a_n ≤ 10^3, and then went to the bathroom.

JATC decided to prank his friend by erasing some consecutive elements in the array. Since he doesn't want for the prank to go too far, he will only erase in a way, such that Giraffe can still restore the array using the information from the remaining elements. Because Giraffe has created the array, he's also aware that it's an increasing array and all the elements are integers in the range [1, 10^3].

JATC wonders what is the greatest number of elements he can erase?

Input

The first line of the input contains a single integer n (1 ≤ n ≤ 100) — the number of elements in the array.

The second line of the input contains n integers a_i (1 ≤ a_1<a_2<...<a_n ≤ 10^3) — the array written by Giraffe.

Output

Print a single integer — the maximum number of consecutive elements in the array that JATC can erase.

If it is impossible to erase even a single element, print 0.

Examples

Input

6
1 3 4 5 6 9


Output

2

Input

3
998 999 1000


Output

2

Input

5
1 2 3 4 5


Output

4

Note

In the first example, JATC can erase the third and fourth elements, leaving the array [1, 3, \\_, \\_, 6, 9]. As you can see, there is only one way to fill in the blanks.

In the second example, JATC can erase the second and the third elements. The array will become [998, \\_, \\_]. Because all the elements are less than or equal to 1000, the array is still can be restored. Note, that he can't erase the first 2 elements.

In the third example, JATC can erase the first 4 elements. Since all the elements are greater than or equal to 1, Giraffe can still restore the array. Note, that he can't erase the last 4 elements.
/**
 * created by vidyut on 14/11/18
 **/
import java.io.*;
import java.util.*;
import java.math.*;

public class A {
    public static void main(String[] args) {
        try {
            InputReader in = new InputReader(System.in);
            BufferedWriter out = new BufferedWriter(new OutputStreamWriter(System.out));
            int n = in.readInt();
            int ar[] = new int[n];
            for (int i = 0; i < n; i++) {
                ar[i] = in.readInt();
            }
            int ans = 0;
            for (int j = 0; j < n; j++) {
                if (ar[j] == j + 1) {
                    if (j == n - 1) {
                        ans = Math.max(ans, j);
                    } else {
                        if (ar[j + 1] == j + 2)
                            ans = Math.max(ans, j + 1);
                        else
                            ans = Math.max(ans, j);
                    }
                } else {
                    break;
                }
            }
            int pointer = 1000;
            for (int i = n - 1; i >= 0; i--) {
                if (ar[i] == pointer) {
                    if (i == 0) {
                        ans = Math.max(ans, n - i - 2);
                    } else {
                        ans = Math.max(ans, n - i - 1);
                    }
                    pointer--;
                } else {
                    break;
                }
            }
            if (ar[0] == 1) {
                for (int i = 1; i < n; i++) {
                    if (ar[i] == ar[i - 1] + 1) {
                        if (i != n - 1) {
                            if (ar[i + 1] == ar[i] + 1)
                                ans = Math.max(ans, i + 1);
                            else {
                                ans = Math.max(ans, i);
                            }
                        }
                    }
                    else {
                        break;
                    }
                }
            }
            if (ar[n - 1] == 1000) {
                for (int i = n - 2; i >= 0; i--) {
                    if (ar[i] == ar[i + 1] - 1) {
                        if (i != 0)
                            ans = Math.max(ans, n - i - 2);
                        else
                            ans = Math.max(ans, n - i - 1);
                    }
                    else {
                        break;
                    }
                }
            }
            for (int i = 0; i < n; i++) {
                int j = i + 1;
                while(j < n && ar[j] == ar[j - 1] + 1) {
                    j++;
                }
                ans = Math.max(ans, j - i - 2);
                i = j - 1;
            }
            out.write(Integer.toString(ans));
            out.close();
        }
        catch (Exception e) {
            e.printStackTrace();
        }
    }
}
class InputReader {
    private boolean finished = false;

    private InputStream stream;
    private byte[] buf = new byte[1024];
    private int curChar;
    private int numChars;

    public InputReader(InputStream stream) {
        this.stream = stream;
    }

    public int read() {
        if (numChars == -1)
            throw new InputMismatchException();
        if (curChar >= numChars) {
            curChar = 0;
            try {
                numChars = stream.read(buf);
            } catch (IOException e) {
                throw new InputMismatchException();
            }
            if (numChars <= 0)
                return -1;
        }
        return buf[curChar++];
    }

    public int peek() {
        if (numChars == -1)
            return -1;
        if (curChar >= numChars) {
            curChar = 0;
            try {
                numChars = stream.read(buf);
            } catch (IOException e) {
                return -1;
            }
            if (numChars <= 0)
                return -1;
        }
        return buf[curChar];
    }

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

    public long readLong() {
        int c = read();
        while (isSpaceChar(c))
            c = read();
        int sgn = 1;
        if (c == '-') {
            sgn = -1;
            c = read();
        }
        long res = 0;
        do {
            if (c < '0' || c > '9')
                throw new InputMismatchException();
            res *= 10;
            res += c - '0';
            c = read();
        } while (!isSpaceChar(c));
        return res * sgn;
    }

    public String readString() {
        int length = readInt();
        if (length < 0)
            return null;
        byte[] bytes = new byte[length];
        for (int i = 0; i < length; i++)
            bytes[i] = (byte) read();
        try {
            return new String(bytes, "UTF-8");
        } catch (UnsupportedEncodingException e) {
            return new String(bytes);
        }
    }

    public static boolean isSpaceChar(int c) {
        return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
    }

    private String readLine0() {
        StringBuffer buf = new StringBuffer();
        int c = read();
        while (c != '\n' && c != -1) {
            if (c != '\r')
                buf.appendCodePoint(c);
            c = read();
        }
        return buf.toString();
    }

    public String readLine() {
        String s = readLine0();
        while (s.trim().length() == 0)
            s = readLine0();
        return s;
    }

    public String readLine(boolean ignoreEmptyLines) {
        if (ignoreEmptyLines)
            return readLine();
        else
            return readLine0();
    }

    public BigInteger readBigInteger() {
        try {
            return new BigInteger(readString());
        } catch (NumberFormatException e) {
            throw new InputMismatchException();
        }
    }

    public char readCharacter() {
        int c = read();
        while (isSpaceChar(c))
            c = read();
        return (char) c;
    }

    public double readDouble() {
        int c = read();
        while (isSpaceChar(c))
            c = read();
        int sgn = 1;
        if (c == '-') {
            sgn = -1;
            c = read();
        }
        double res = 0;
        while (!isSpaceChar(c) && c != '.') {
            if (c == 'e' || c == 'E')
                return res * Math.pow(10, readInt());
            if (c < '0' || c > '9')
                throw new InputMismatchException();
            res *= 10;
            res += c - '0';
            c = read();
        }
        if (c == '.') {
            c = read();
            double m = 1;
            while (!isSpaceChar(c)) {
                if (c == 'e' || c == 'E')
                    return res * Math.pow(10, readInt());
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                m /= 10;
                res += (c - '0') * m;
                c = read();
            }
        }
        return res * sgn;
    }

    public boolean isExhausted() {
        int value;
        while (isSpaceChar(value = peek()) && value != -1)
            read();
        return value == -1;
    }

    public String next() {
        return readString();
    }

    public boolean readBoolean() {
        return readInt() == 1;
    }
}
