fn power_mat(target: &Vec<Vec<f64>>, times: usize) -> Vec<Vec<f64>> {
    let n = target.len();
    if times == 0 {
        let mut ret = vec![vec![0f64; n]; n];
        for i in 0..n { ret[i][i] = 1.; }
        return ret;
    }
    if times == 1 {
        return target.clone();
    }
    let temp = power_mat(target, times/2);
    if times % 2 == 1 {
        calc_mat(&calc_mat(&temp, &temp), target)
    } else {
        calc_mat(&temp, &temp)
    }
}

fn calc_mat(left: &Vec<Vec<f64>>, right: &Vec<Vec<f64>>) -> Vec<Vec<f64>> {
    let sizei = left.len();
    let sizej = right[0].len();
    let sizek = left[0].len();
    let mut ret = vec![vec![0f64; sizej]; sizei];
    for i in 0..sizei {
        for j in 0..sizej {
            ret[i][j] = (0..sizek).map(|k| left[i][k] * right[k][j]).sum::<f64>();
        }
    }
    ret
}

fn main() {
    let mut temp = String::new();
    std::io::stdin().read_line(&mut temp).ok();
    let temp: Vec<usize> = temp.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
    let h = temp[0];
    let w = temp[1];
    let t = temp[2];
    let mut start = String::new();
    std::io::stdin().read_line(&mut start).ok();
    let start: Vec<usize> = start.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
    let sx = start[0];
    let sy = start[1];
    let mut goal = String::new();
    std::io::stdin().read_line(&mut goal).ok();
    let goal: Vec<usize> = goal.trim().split_whitespace().map(|s| s.parse().unwrap()).collect();
    let gx = goal[0];
    let gy = goal[1];
    let grid = (0..h).map(|_| {
            let mut temp = String::new();
            std::io::stdin().read_line(&mut temp).ok();
            let temp = temp.trim();
            temp.chars().collect::<Vec<_>>()
        })
        .collect::<Vec<_>>();

    let size = h * w;
    let mut mat = vec![vec![0.; size]; size];
    for i in 0..h {
        for j in 0..w {
            if grid[i][j] == '#' { continue; }
            let idx = i*w + j;
            let u_ok = i > 0   && grid[i-1][j] == '.';
            let d_ok = i+1 < h && grid[i+1][j] == '.';
            let l_ok = j > 0   && grid[i][j-1] == '.';
            let r_ok = j+1 < w && grid[i][j+1] == '.';
            let denom = vec![u_ok, d_ok, l_ok, r_ok].iter().filter(|&&v| v).count();
            if denom == 0 {
                mat[idx][idx] = 1.;
                continue;
            }
            let denom = denom as f64;
            if u_ok {
                let uidx = idx - w;
                mat[idx][uidx] = 1. / denom;
            }
            if d_ok {
                let didx = idx + w;
                mat[idx][didx] = 1. / denom;
            }
            if l_ok {
                let lidx = idx - 1;
                mat[idx][lidx] = 1. / denom;
            }
            if r_ok {
                let ridx = idx + 1;
                mat[idx][ridx] = 1. / denom;
            }
        }
    }
    let mat = power_mat(&mat, t);
    let sidx = sx * w + sy;
    let gidx = gx * w + gy;
    println!("{}", mat[sidx][gidx]);
}