using System;
using System.Collections.Generic;
using System.Collections;
using System.Collections.Specialized;
using System.Linq;
using System.Text;
using System.IO;
using System.Reflection;
using static System.Math;
using System.Numerics;
static class Program{
	const int mod=(int)1e9+7;
	static readonly int[][] di1=new int[][]{new int[]{-1,0},new int[]{1,0},new int[]{0,-1},new int[]{0,1}};
	static readonly int[][] di2=new int[][]{new int[]{-1,-1},new int[]{-1,0},new int[]{-1,1},new int[]{0,-1},new int[]{0,1},new int[]{1,-1},new int[]{1,0},new int[]{1,1}};
	static char[][] bm;
	static void Main(){
		Sc sc=new Sc();
		var s=sc.Ia;
		int h=s[0],w=s[1];
		char c='#';
		var st=sc.Ia;
		var go=sc.Ia;
		bm=new char[h][];
		var g=new double[h*w][];
		var b=new double[h*w][];
		for(int i = 0;i<h;i++) {
			bm[i]=sc.S.ToCharArray();
			for(int j = 0;j<w;j++) {
				g[i*w+j]=new double[h*w];
				b[i*w+j]=new double[1];
			}
		}
		for(int i = 0;i<h;i++) {
			for(int j = 0;j<w;j++) {
				int p=0;
				if(bm[i][j]!=c){
					Fdi(i,j,(y,x)=>{
						if(bm[y][x]=='.'){p++;}
					});
					if(p==0){g[i*w+j][i*w+j]=1;continue;}
					Fdi(i,j,(y,x)=>{
						if(bm[y][x]=='.'){g[y*w+x][i*w+j]=1.0/p;}
					});
				}
			}
		}
		b[st[0]*w+st[1]][0]=1;
		var z=Mp(b,g,s[2]);
		Console.WriteLine("{0}",z[go[0]*w+go[1]][0]);
	}
	static double[][] Mp(double[][] r,double[][] x,long e){
		while(e>0){
			if((e&1)>0){r=Mm(x,r);}
			x=Mm(x,x);
			e>>=1;
		}
		return r;
	}
	static double[][] Mm(double[][] a,double[][] b){
		var q=new double[a.Length][];
		for(int j=0;j<a.Length;j++){
			q[j]=new double [b[0].Length];
			for(int i=0;i<b[0].Length;i++){
				for(int k=0;k<a.Length;k++){q[j][i]=(q[j][i]+a[j][k]*b[k][i])%mod;}
			}
		}
		return q;
	}
	static void Fdi(int y,int x,Action<int,int> f){for(int i=0;i<4;i++){f(y+di1[i][0],x+di1[i][1]);}}
}

public class Sc{
	public int I{get{return int.Parse(Console.ReadLine());}}
	public long L{get{return long.Parse(Console.ReadLine());}}
	public double D{get{return double.Parse(Console.ReadLine());}}
	public string S{get{return Console.ReadLine();}}
	public int[] Ia{get{return Array.ConvertAll(Console.ReadLine().Split(),int.Parse);}}
	public long[] La{get{return Array.ConvertAll(Console.ReadLine().Split(),long.Parse);}}
	public double[] Da{get{return Array.ConvertAll(Console.ReadLine().Split(),double.Parse);}}
	public string[] Sa{get{return Console.ReadLine().Split();}}
	public object[] Oa{get{return Console.ReadLine().Split();}}
	public int[] Ia2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),int.Parse);}}
	public int[] Ia3(int a){return Array.ConvertAll((a.ToString()+" "+Console.ReadLine()).Split(),int.Parse);}
	public int[] Ia3(bool a,int b,bool c,int d){return Array.ConvertAll(((a?b.ToString()+" ":"")+Console.ReadLine()+(c?" "+d.ToString():"")).Split(),int.Parse);}
	public long[] La2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),long.Parse);}}
	public long[] La3(int a){return Array.ConvertAll((a.ToString()+" "+Console.ReadLine()).Split(),long.Parse);}
	public long[] La3(bool a,int b,bool c,int d){return Array.ConvertAll(((a?b.ToString()+" ":"")+Console.ReadLine()+(c?" "+d.ToString():"")).Split(),long.Parse);}
	public double[] Da2{get{return Array.ConvertAll(("0 "+Console.ReadLine()+" 0").Split(),double.Parse);}}
	public double[] Da3(int a){return Array.ConvertAll((a.ToString()+" "+Console.ReadLine()).Split(),double.Parse);}
	public double[] Da3(bool a,int b,bool c,int d){return Array.ConvertAll(((a?b.ToString()+" ":"")+Console.ReadLine()+(c?" "+d.ToString():"")).Split(),double.Parse);}
	public T[] Arr<T>(int n,Func<T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f();}return a;}
	public T[] Arr<T>(int n,Func<int,T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i);}return a;}
	public T[] Arr<T>(int n,Func<string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(Console.ReadLine().Split());}return a;}
	public T[] Arr<T>(int n,Func<int,string[],T> f){var a=new T[n];for(int i=0;i<n;i++){a[i]=f(i,Console.ReadLine().Split());}return a;}
}