Problem:
Score: 400 points

Problem statement

We have an H \times W grid whose squares are painted black or white. The square at the i-th row from the top and the j-th column from the left is denoted as (i, j).

Snuke would like to play the following game on this grid. At the beginning of the game, there is a character called Kenus at square (1, 1). The player repeatedly moves Kenus up, down, left or right by one square. The game is completed when Kenus reaches square (H, W) passing only white squares.

Before Snuke starts the game, he can change the color of some of the white squares to black. However, he cannot change the color of square (1, 1) and (H, W). Also, changes of color must all be carried out before the beginning of the game.

When the game is completed, Snuke's score will be the number of times he changed the color of a square before the beginning of the game. Find the maximum possible score that Snuke can achieve, or print -1 if the game cannot be completed, that is, Kenus can never reach square (H, W) regardless of how Snuke changes the color of the squares.

The color of the squares are given to you as characters s_{i, j}. If square (i, j) is initially painted by white, s_{i, j} is .; if square (i, j) is initially painted by black, s_{i, j} is #.

Constraints

H is an integer between 2 and 50 (inclusive).

W is an integer between 2 and 50 (inclusive).

s_{i, j} is . or # (1 \leq i \leq H, 1 \leq j \leq W).

s_{1, 1} and s_{H, W} are ..

Input

Input is given from Standard Input in the following format:

H W
s_{1, 1}s_{1, 2}s_{1, 3} ... s_{1, W}
s_{2, 1}s_{2, 2}s_{2, 3} ... s_{2, W}
: :
s_{H, 1}s_{H, 2}s_{H, 3} ... s_{H, W}

Output

Print the maximum possible score that Snuke can achieve, or print -1 if the game cannot be completed.

Sample Input 1

3 3
..#
#..
...

Sample Output 1

2

The score 2 can be achieved by changing the color of squares as follows:

Sample Input 2

10 37
.....................................
...#...####...####..###...###...###..
..#.#..#...#.##....#...#.#...#.#...#.
..#.#..#...#.#.....#...#.#...#.#...#.
.#...#.#..##.#.....#...#.#.###.#.###.
.#####.####..#.....#...#..##....##...
.#...#.#...#.#.....#...#.#...#.#...#.
.#...#.#...#.##....#...#.#...#.#...#.
.#...#.####...####..###...###...###..
.....................................

Sample Output 2

209

Solution in JavaScript (node.js v5.12) (judge verdict: Accepted)

var input = require("fs").readFileSync("/dev/stdin", "utf8").trim().split("\n");
var obj = {
  "list" : input,
  "index" : 0,
  "max" : input.length,
  "next" : function(){
    if(!this.hasNext()){throw "NoSuchElementException:次に要素は無いよ";}
    var returnObj = this.list[this.index];
    this.index++;
    return returnObj;
  },
  "hasNext" : function(){return (this.index < this.max);}
}
Main();
function next(){return obj.next();}
function hasNext(){return obj.hasNext();}
function myout(t){console.log(t);}//standard output
function myerr(t){console.error(t);}//standard error
//[no]要素の扱い。数値型
//不明値、異常時:引数そのまま返す　1:数値へ変換
//2:半角SPで分割 4:半角SPで分割し、数値配列へ
//6:1文字で分割  7:1文字で分割し、数値配列へ
//8:半角SPで結合 9:改行で結合 0:文字なしで結合
function myconv(i,no){try{switch(no){case 1:return parseInt(i);case 2:return i.split(" ");case 4:return i.split(" ").map((a)=>Number(a));case 6:return i.split("");case 7:return i.split("").map((a)=>Number(a));case 8:return i.join(" ");case 9:return i.join("\n");case 0:return i.join("");default:return i;}}catch(e){return i;}}
function Main(){
  var one = myconv(next(),4);
  var H = one[0];
  var W = one[1];
  var list = new Array(H);
  var visit = new Array(H);
  for(var i = 0; i < H; i++){
    list[i] = myconv(next(),6);
    visit[i] = new Array(W).fill(false);
  }
  visit[0][0] = true;
  var goal = 10000000;
  var queue = [[0,0,0]];
  while(queue.length > 0){
    var q = queue.shift();
    var y = q[0];
    var x = q[1];
    var count = q[2];
    if(y == H - 1 && x == W - 1){
       goal = Math.min(goal,count);
    }
    if(y != 0 && list[y - 1][x] == "." && !visit[y - 1][x]){
      visit[y - 1][x] = true;
      queue.push([y - 1, x, count + 1]);
    }
    if(x != 0 && list[y][x - 1] == "." && !visit[y][x - 1]){
      visit[y][x - 1] = true;
       queue.push([y, x - 1, count + 1]);
    }
    if(y != H - 1 && list[y + 1][x] == "." && !visit[y + 1][x]){
      visit[y + 1][x] = true;
       queue.push([y + 1, x, count + 1]);
    }
    if(x != W - 1 && list[y][x + 1] == "." && !visit[y][x + 1]){
      visit[y][x + 1] = true;
       queue.push([y, x + 1, count + 1]);
    }
  }
  //goal + 1以外の点はすべて変換化
  if(goal == 10000000){
     myout(-1);
  }else{
     var dot = 0;
     for(var i = 0; i < H; i++){
       for(var j = 0; j < W; j++){
         if(list[i][j] == "."){
            dot++;
         }
       }
     }
     dot -= (goal + 1);
    myout(dot);
  }
}