Problem:
Score : 100 points

Problem Statement

There is a grid with H horizontal rows and W vertical columns.
Let (i, j) denote the square at the i-th row from the top and the j-th column from the left.

For each i and j (1 \leq i \leq H, 1 \leq j \leq W), Square (i, j) is described by a character a_{i, j}.
If a_{i, j} is ., Square (i, j) is an empty square; if a_{i, j} is #, Square (i, j) is a wall square.
It is guaranteed that Squares (1, 1) and (H, W) are empty squares.

Taro will start from Square (1, 1) and reach (H, W) by repeatedly moving right or down to an adjacent empty square.

Find the number of Taro's paths from Square (1, 1) to (H, W).
As the answer can be extremely large, find the count modulo 10^9 + 7.

Constraints

H and W are integers.

2 \leq H, W \leq 1000

a_{i, j} is . or #.

Squares (1, 1) and (H, W) are empty squares.

Input

Input is given from Standard Input in the following format:

H W
a_{1, 1}\ldotsa_{1, W}
:
a_{H, 1}\ldotsa_{H, W}

Output

Print the number of Taro's paths from Square (1, 1) to (H, W), modulo 10^9 + 7.

Sample Input 1

3 4
...#
.#..
....

Sample Output 1

3

There are three paths as follows:

Sample Input 2

5 2
..
#.
..
.#
..

Sample Output 2

0

There may be no paths.

Sample Input 3

5 5
..#..
.....
#...#
.....
..#..

Sample Output 3

24

Sample Input 4

20 20
....................
....................
....................
....................
....................
....................
....................
....................
....................
....................
....................
....................
....................
....................
....................
....................
....................
....................
....................
....................

Sample Output 4

345263555

Be sure to print the count modulo 10^9 + 7.

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include <bits/stdc++.h>
#include <set>
#include <iterator>
using namespace std;

#define ft first
#define sd second
#define pb push_back
#define all(x) x.begin(),x.end()

#define ll long long int
#define vi vector<int>
#define vii vector<pair<int,int> >
#define pii pair<int,int>
#define plii pair<pair<ll, int>, int>
#define piii pair<pii, int>
#define viii vector<pair<pii, int> >
#define vl vector<ll>
#define vll vector<pair<ll,ll> >
#define pll pair<ll,ll>
#define pli pair<ll,int>
#define mp make_pair
#define ms(x, v) memset(x, v, sizeof x)
#define pr_vec(v) for(int i=0;i<v.size();i++) cout << v[i] << " " ;

#define f_in(st) freopen(st,"r",stdin)
#define f_out(st) freopen(st,"w",stdout)

#define fr(i, a, b) for(i=a; i<=b; i++)
#define fb(i, a, b) for(i=a; i>=b; i--)
#define ASST(x, l, r) assert( x <= r && x >= l )
const int  p=31,po=1,N=1e5+1, M=(ll)1e9+1 ;
const int mod = (ll)1e9 +7;
// struct node{
//   ll prefixsum,suffixsum,bettersum,totalsum;
//   void create(ll val){
//     prefixsum=suffixsum=bettersum=val;
//   }
//   void Merge(node& a,node &b){
//     prefixsum=max(a.prefixsum,a.totalsum+b.prefixsum);
//     suffixsum=max(b.suffixsum,a.suffixsum+b.sum);
//     totalsum=a.totalsum+b.totalsum;
    
//   }
// }
//ll dp[2][100];
vl compute(string s){
        vl has(s.length());
        ll i;

        for(i=0;i<s.length();i++){
            if(i==0){
                has[i]=((s[i]-'a'+1))%mod;
            }
            else
                has[i]=(has[i-1]*p + (s[i]-'a'+1))%mod;
        }
        return has;
}
vl g[N],dist(N+1,0);
vector<bool>vis(N,false);
void dfs(ll x){
  vis[x]=true;
  for(auto to:g[x]){
    if(!vis[to])
      dfs(to);
    dist[x]=max(dist[x],dist[to]+1);

  }
}
 ll dp[1002][1002];

int main(){
 ios_base::sync_with_stdio(0);
 ll i,j,n,m;
 cin >> n >> m;
 char c[n+1][m+1],ch;
 for(i=1;i<=n;i++){
   for(j=1;j<=m;j++){
     cin >> c[i][j];
   }
 }
 dp[n][m]=1;
 for(i=n;i>=1;i--){
   for(j=m;j>=1;j--){
     if(i==n && j==m)
      continue;
      if(c[i][j]=='#')
        dp[i][j]=0;
      else{
        // cout << i << " " << j << endl;
        dp[i][j]=dp[i+1][j]%mod+dp[i][j+1]%mod;
        dp[i][j]%=mod;
      }
   }
 }
 cout << dp[1][1];
    return 0;
}