using System;
using System.Collections.Generic;
using System.Linq;

class Program
{
    static string InputPattern = "InputX";

    static List<string> GetInputList()
    {
        var WillReturn = new List<string>();

        if (InputPattern == "Input1") {
            WillReturn.Add("5 8");
            WillReturn.Add("1 3");
            WillReturn.Add("4 5 5 7");
            WillReturn.Add("5 1");
        }
        else if (InputPattern == "Input2") {
            WillReturn.Add("200 200");
            WillReturn.Add("1 1");
            WillReturn.Add("1 2 200 200");
            WillReturn.Add("200 1");
        }
        else if (InputPattern == "Input3") {
            WillReturn.Add("1 1");
            WillReturn.Add("1 1");
            WillReturn.Add("1 1 1 1");
            WillReturn.Add("1 1");
        }
        else {
            string wkStr;
            while ((wkStr = Console.ReadLine()) != null) WillReturn.Add(wkStr);
        }
        return WillReturn;
    }

    static long[] GetSplitArr(string pStr)
    {
        return (pStr == "" ? new string[0] : pStr.Split(' ')).Select(pX => long.Parse(pX)).ToArray();
    }

    static long mStaX;
    static long mStaY;
    static long mEndX;
    static long mEndY;

    static void Main()
    {
        List<string> InputList = GetInputList();
        long[] wkArr = GetSplitArr(InputList[1]);
        mStaX = wkArr[1];
        mStaY = wkArr[0];

        wkArr = GetSplitArr(InputList[2]);
        long RectY1 = wkArr[0];
        long RectX1 = wkArr[1];
        long RectY2 = wkArr[2];
        long RectX2 = wkArr[3];

        wkArr = GetSplitArr(InputList[3]);
        mEndX = wkArr[1];
        mEndY = wkArr[0];

        long Answer = long.MaxValue;
        for (long Y = RectY1; Y <= RectY2; Y++) {
            for (long X = RectX1; X <= RectX2; X++) {
                long CurrAnswer = 0;
                CurrAnswer += DeriveKyori(mStaX, mStaY, X, Y);
                CurrAnswer += DeriveKyori(mEndX, mEndY, X, Y);
                CurrAnswer += DeriveKyori(mEndX, mEndY, mStaX, mStaY);
                Answer = Math.Min(Answer, CurrAnswer);
            }
        }
        Console.WriteLine(Answer);
    }

    // 2つの座標のマンハッタン距離を返す
    static long DeriveKyori(long pX1, long pY1, long pX2, long pY2)
    {
        return Math.Abs(pX1 - pX2) + Math.Abs(pY1 - pY2);
    }
}