package main

import (
	"bufio"
	"fmt"
	"os"
	"strconv"
)

func configure(scanner *bufio.Scanner) {
	scanner.Split(bufio.ScanWords)
	scanner.Buffer(make([]byte, 1000005), 1000005)
}
func getNextString(scanner *bufio.Scanner) string {
	scanned := scanner.Scan()
	if !scanned {
		panic("scan failed")
	}
	return scanner.Text()
}
func getNextInt(scanner *bufio.Scanner) int {
	i, _ := strconv.Atoi(getNextString(scanner))
	return i
}
func getNextInt64(scanner *bufio.Scanner) int64 {
	i, _ := strconv.ParseInt(getNextString(scanner), 10, 64)
	return i
}
func getNextFloat64(scanner *bufio.Scanner) float64 {
	i, _ := strconv.ParseFloat(getNextString(scanner), 64)
	return i
}
func main() {
	fp := os.Stdin
	wfp := os.Stdout
	extra := 0
	if os.Getenv("I") == "IronMan" {
		fp, _ = os.Open(os.Getenv("END_GAME"))
		extra = 100
	}
	scanner := bufio.NewScanner(fp)
	configure(scanner)
	writer := bufio.NewWriter(wfp)
	defer func() {
		r := recover()
		if r != nil {
			fmt.Fprintln(writer, r)
		}
		writer.Flush()
	}()
	solve(scanner, writer)
	for i := 0; i < extra; i++ {
		fmt.Fprintln(writer, "-----------------------------------")
		solve(scanner, writer)
	}
}
func solve(scanner *bufio.Scanner, writer *bufio.Writer) {
	r := getNextInt(scanner)
	c := getNextInt(scanner)
	t := getNextInt(scanner)
	sy := getNextInt(scanner)
	sx := getNextInt(scanner)
	gy := getNextInt(scanner)
	gx := getNextInt(scanner)
	bb := make([][]int, r)
	for i := 0; i < r; i++ {
		bb[i] = make([]int, c)
	}

	index := 0
	for i := 0; i < r; i++ {
		b := getNextString(scanner)
		for j := 0; j < c; j++ {
			if b[j] == '#' {
				bb[i][j] = -1
				continue
			}
			bb[i][j] = index
			index++
		}
	}
	if index == 1 {
		fmt.Fprintln(writer, 1)
		return
	}
	ff := makeGrid(1, index)
	dbl := makeGrid(index, index)
	ff[0][bb[sy][sx]] = 1
	dy := [4]int{-1, 0, 0, 1}
	dx := [4]int{0, -1, 1, 0}
	for i := 1; i < r-1; i++ {
		for j := 1; j < c-1; j++ {
			if bb[i][j] == -1 {
				continue
			}
			s := 0
			for k := 0; k < 4; k++ {
				y := i + dy[k]
				x := j + dx[k]
				if bb[y][x] == -1 {
					continue
				}
				s++
			}
			for k := 0; k < 4; k++ {
				y := i + dy[k]
				x := j + dx[k]
				if bb[y][x] == -1 {
					continue
				}
				dbl[bb[i][j]][bb[y][x]] = 1.0 / float64(s)
			}
		}
	}
	for t > 0 {
		if t%2 == 1 {
			ff = mul(ff, dbl)
		}
		dbl = mul(dbl, dbl)
		t >>= 1
	}
	fmt.Fprintln(writer, ff[0][bb[gy][gx]])
}
func dump(a [][]float64) {
	for i := 0; i < len(a); i++ {
		fmt.Printf("%v\n", a[i])
	}
}
func mul(dbl, dbl2 [][]float64) [][]float64 {
	r := len(dbl)
	c := len(dbl[0])
	c2 := len(dbl2[0])
	result := makeGrid(r, c2)
	for i := 0; i < r; i++ {
		for j := 0; j < c2; j++ {
			for k := 0; k < c; k++ {
				result[i][j] += dbl[i][k] * dbl2[k][j]
			}
		}
	}
	return result
}
func makeGrid(h, w int) [][]float64 {
	index := make([][]float64, h, h)
	data := make([]float64, h*w, h*w)
	for i := 0; i < h; i++ {
		index[i] = data[i*w : (i+1)*w]
	}
	return index
}