Problem: Luba is surfing the Internet. She currently has n opened tabs in her browser, indexed from 1 to n from left to right. The mouse cursor is currently located at the pos-th tab. Luba needs to use the tabs with indices from l to r (inclusive) for her studies, and she wants to close all the tabs that don't belong to this segment as fast as possible.

Each second Luba can either try moving the cursor to the left or to the right (if the cursor is currently at the tab i, then she can move it to the tab max(i - 1, a) or to the tab min(i + 1, b)) or try closing all the tabs to the left or to the right of the cursor (if the cursor is currently at the tab i, she can close all the tabs with indices from segment [a, i - 1] or from segment [i + 1, b]). In the aforementioned expressions a and b denote the minimum and maximum index of an unclosed tab, respectively. For example, if there were 7 tabs initially and tabs 1, 2 and 7 are closed, then a = 3, b = 6.

What is the minimum number of seconds Luba has to spend in order to leave only the tabs with initial indices from l to r inclusive opened?

Input

The only line of input contains four integer numbers n, pos, l, r (1 ≤ n ≤ 100, 1 ≤ pos ≤ n, 1 ≤ l ≤ r ≤ n) — the number of the tabs, the cursor position and the segment which Luba needs to leave opened.

Output

Print one integer equal to the minimum number of seconds required to close all the tabs outside the segment [l, r].

Examples

Input

6 3 2 4


Output

5


Input

6 3 1 3


Output

1


Input

5 2 1 5


Output

0

Note

In the first test Luba can do the following operations: shift the mouse cursor to the tab 2, close all the tabs to the left of it, shift the mouse cursor to the tab 3, then to the tab 4, and then close all the tabs to the right of it.

In the second test she only needs to close all the tabs to the right of the current position of the cursor.

In the third test Luba doesn't need to do anything.

Solution (in JAVA):

Solution:
import java.io.*;

public class P915B {
    private static class HpReader {
        private BufferedReader in;

        public HpReader(String dir, String inFile, String outFile) {
            initAndRedirectInOut(dir, inFile, outFile);
        }

        private int ivl(String val) {
            return Integer.parseInt(val);
        }

        private long lvl(String val) {
            return Long.parseLong(val);
        }

        private void initAndRedirectInOut(String dir, String inFile, String outFile) {
            if (dir != null) {
                try {
                    String containingDirPath = dir.endsWith(File.separator) ? dir : dir + File.separator;
                    if (isDebug && inFile != null) System.setIn(new FileInputStream(new File(containingDirPath + inFile)));
                    if (isDebug && outFile != null) System.setOut(new PrintStream(new File(containingDirPath + outFile)));
                } catch (FileNotFoundException e) {
                    // Do nothing, stdin & stdout are not redirected
                }
            }
            in = new BufferedReader(new InputStreamReader(System.in));
            out = new PrintWriter(System.out);
        }

        private String nextSingleStr() throws IOException {
            return in.readLine();
        }

        private String[] nextLineStr() throws IOException {
            return nextLineStr(0);
        }

        private String[] nextLineStr(int offset) throws IOException {
            String[] inp = nextSingleStr().split(" ");
            String[] rs = new String[offset + inp.length];
            System.arraycopy(inp, 0, rs, offset, inp.length);
            return rs;
        }

        private int nextSingleInt() throws IOException {
            return ivl(in.readLine());
        }

        private int[] nextLineInt() throws IOException {
            return nextLineInt(0);
        }

        private int[] nextLineInt(int offset) throws IOException {
            String[] inp = nextLineStr();
            int[] rs = new int[offset + inp.length];
            for (int i = 0; i < inp.length; i++) rs[offset + i] = ivl(inp[i]);
            return rs;
        }

        private long nextSingleLong() throws IOException {
            return lvl(in.readLine());
        }

        private long[] nextLineLong() throws IOException {
            return nextLineLong(0);
        }

        private long[] nextLineLong(int offset) throws IOException {
            String[] inp = nextLineStr();
            long[] rs = new long[offset + inp.length];
            for (int i = 0; i < inp.length; i++) rs[offset + i] = lvl(inp[i]);
            return rs;
        }

        private int[][] nextMatInt(int lineCount) throws IOException {
            return nextMatInt(lineCount, 0, 0);
        }

        private int[][] nextMatInt(int lineCount, int rowOffset, int colOffset) throws IOException {
            int[][] rs = new int[rowOffset + lineCount][];
            for (int i = rowOffset; i < rs.length; i++) rs[i] = nextLineInt(colOffset);
            return rs;
        }
    }

    private static class HpHelper {
        private static final String LOCAL_DEBUG_FLAG = "COM_PROG_DEBUG";

        private static boolean isDebug() {
            try {
                return Boolean.parseBoolean(System.getenv(HpHelper.LOCAL_DEBUG_FLAG));
            } catch (Exception e) {
                return false;
            }
        }

        private static String createDelimiter(String delimiter) {
            return delimiter == null ? " " : delimiter;
        }

        private static void println(int[] data, String delimiter) {
            delimiter = createDelimiter(delimiter);
            for (int t : data) out.print(t + delimiter);
            out.println();
        }

        private static void println(long[] data, String delimiter) {
            delimiter = createDelimiter(delimiter);
            for (long t : data) out.print(t + delimiter);
            out.println();
        }

        private static <T> void println(T[] data, String delimiter) {
            delimiter = createDelimiter(delimiter);
            for (T t : data) {
                if (t instanceof int[]) {
                    println((int[]) t, delimiter);
                } else if (t instanceof long[]) {
                    println((long[]) t, delimiter);
                } else if (t instanceof Object[]) {
                    println((Object[]) t, delimiter);
                } else {
                    out.print(t + delimiter);
                }
            }
            out.println();
        }
    }

    private static boolean isDebug = HpHelper.isDebug();
    private static HpReader in = new HpReader("/Users/apple/Work/WorkSpaces/CompetitiveProg/", "in.txt", null);
    private static PrintWriter out;

    public static void main(String[] args) throws IOException {
        int inp[] = in.nextLineInt(), n = inp[0], pos = inp[1], l = inp[2], r = inp[3], rs = 0;
        rs += (l > 1) ? 1 : 0;
        rs += (r < n) ? 1 : 0;
        if (rs != 0) {
            int leftFirst = (l > 1) ? Math.abs(l - pos) + (r - l) : Math.abs(r - pos);
            int rightFirst = (r < n) ? Math.abs(r -pos) + (r - l) : Math.abs(l - pos);
            rs += Math.min(leftFirst, rightFirst);
        }
        out.println(rs);

        out.flush();
    }
}