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("3 3");
WillReturn.Add("3 2 2");
WillReturn.Add("2 1 3");
WillReturn.Add("1 5 4");
//3
}
else if (InputPattern == "Input2") {
WillReturn.Add("10 10");
WillReturn.Add("1 2 3 4 5 6 7 8 9 10");
WillReturn.Add("11 12 13 14 15 16 17 18 19 20");
WillReturn.Add("21 22 23 24 25 26 27 28 29 30");
WillReturn.Add("31 32 33 34 35 36 37 38 39 40");
WillReturn.Add("41 42 43 44 45 46 47 48 49 50");
WillReturn.Add("51 52 53 54 55 56 57 58 59 60");
WillReturn.Add("61 62 63 64 65 66 67 68 69 70");
WillReturn.Add("71 72 73 74 75 76 77 78 79 80");
WillReturn.Add("81 82 83 84 85 86 87 88 89 90");
WillReturn.Add("91 92 93 94 95 96 97 98 99 100");
//48620
}
else {
string wkStr;
while ((wkStr = Console.ReadLine()) != null) WillReturn.Add(wkStr);
}
return WillReturn;
}
static int[,] mBanArr;
static int UB_X;
static int UB_Y;
static void Main()
{
List<string> InputList = GetInputList();
mBanArr = CreateBanArr(InputList.Skip(1));
UB_X = mBanArr.GetUpperBound(0);
UB_Y = mBanArr.GetUpperBound(1);
mAppearSet.Add(mBanArr[0, 0]);
dfs(0, 0);
Console.WriteLine(Answer);
}
static HashSet<int> mAppearSet = new HashSet<int>();
static long Answer = 0;
static void dfs(int pX, int pY)
{
if (pX == UB_X && pY == UB_Y) {
Answer++;
return;
}
Action<int, int> CallAct = (pNewX, pNewY) =>
{
if (UB_X < pNewX) return;
if (UB_Y < pNewY) return;
if (mAppearSet.Add(mBanArr[pNewX, pNewY])) {
dfs(pNewX, pNewY);
mAppearSet.Remove(mBanArr[pNewX, pNewY]);
}
};
CallAct(pX, pY + 1);
CallAct(pX + 1, pY);
}
////////////////////////////////////////////////////////////////
// IEnumerable<string>をintの2次元配列に設定する
////////////////////////////////////////////////////////////////
static int[,] CreateBanArr(IEnumerable<string> pStrEnum)
{
var StrList = pStrEnum.ToList();
if (StrList.Count == 0) {
return new int[0, 0];
}
int[] IntArr = { };
Action<string> SplitAct = pStr =>
IntArr = pStr.Split(' ').Select(pX => int.Parse(pX)).ToArray();
SplitAct(StrList[0]);
int UB_X = IntArr.GetUpperBound(0);
int UB_Y = StrList.Count - 1;
int[,] WillReturn = new int[UB_X + 1, UB_Y + 1];
for (int Y = 0; Y <= UB_Y; Y++) {
SplitAct(StrList[Y]);
for (int X = 0; X <= UB_X; X++) {
WillReturn[X, Y] = IntArr[X];
}
}
return WillReturn;
}
}