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("2 3");
WillReturn.Add("1 1");
WillReturn.Add("1 3");
//2
}
else if (InputPattern == "Input2") {
WillReturn.Add("2 6");
WillReturn.Add("1 1");
WillReturn.Add("1 6");
//11
}
else if (InputPattern == "Input3") {
WillReturn.Add("6 6");
WillReturn.Add("1 1");
WillReturn.Add("1 6");
//1594
}
else {
string wkStr;
while ((wkStr = Console.ReadLine()) != null) WillReturn.Add(wkStr);
}
return WillReturn;
}
static int UB_X;
static int UB_Y;
static int mStaX;
static int mStaY;
static int mGoalX;
static int mGoalY;
static long mAnswer = 0;
static HashSet<string> mVisitedSet = new HashSet<string>();
static void Main()
{
List<string> InputList = GetInputList();
int[] wkArr = { };
Action<string> SplitAct = pStr =>
wkArr = pStr.Split(' ').Select(pX => int.Parse(pX)).ToArray();
SplitAct(InputList[0]);
UB_X = wkArr[1] - 1;
UB_Y = wkArr[0] - 1;
SplitAct(InputList[1]);
mStaX = wkArr[1] - 1;
mStaY = wkArr[0] - 1;
SplitAct(InputList[2]);
mGoalX = wkArr[1] - 1;
mGoalY = wkArr[0] - 1;
DFS(mStaX, mStaY);
Console.WriteLine(mAnswer);
}
static void DFS(int pCurrX, int pCurrY)
{
if (pCurrX < 0 || UB_X < pCurrX) return;
if (pCurrY < 0 || UB_Y < pCurrY) return;
string CurrHash = GetHash(pCurrX, pCurrY);
// 再訪は不可
if (mVisitedSet.Add(CurrHash) == false) {
return;
}
// 新しい座標の4近傍で、2つ以上訪問済はNG
int VisitedCnt = 0;
Action<int, int> CntAct = (pTargetX, pTargetY) =>
{
string Hash = GetHash(pTargetX, pTargetY);
if (mVisitedSet.Contains(Hash)) {
VisitedCnt++;
}
};
CntAct(pCurrX, pCurrY - 1);
CntAct(pCurrX, pCurrY + 1);
CntAct(pCurrX - 1, pCurrY);
CntAct(pCurrX + 1, pCurrY);
if (VisitedCnt >= 2) {
mVisitedSet.Remove(CurrHash);
return;
}
// クリア判定
if (pCurrX == mGoalX && pCurrY == mGoalY) {
mAnswer++;
}
else {
DFS(pCurrX, pCurrY - 1);
DFS(pCurrX, pCurrY + 1);
DFS(pCurrX - 1, pCurrY);
DFS(pCurrX + 1, pCurrY);
}
mVisitedSet.Remove(CurrHash);
}
// 座標のハッシュ値を返す
static string GetHash(int pX, int pY)
{
return string.Format("{0},{1}", pX, pY);
}
}