Go: package main

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

var scanner = bufio.NewScanner(os.Stdin)

func main() {
	for scanner.Scan() {
		buf := strings.Split(scanner.Text(), " ")
		X, _ := strconv.Atoi(buf[0])
		Y, _ := strconv.Atoi(buf[1])
		if X == 0 && Y == 0 {
			break
		}
		tbl := make([][]int, Y+2)
		field := make([][]int, Y+2)
		for i := range field {
			field[i] = make([]int, X+2)
			tbl[i] = make([]int, X+2)
			for j := range field[i] {
				field[i][j] = 2
				tbl[i][j] = 0
			}
		}
		buf_ := make([][]string, Y)
		for i := range buf_ {
			scanner.Scan()
			buf_[i] = strings.Split(scanner.Text(), " ")
		}
		for i := 1; i <= Y; i++ {
			for j := 1; j <= X; j++ {
				field[i][j], _ = strconv.Atoi(buf_[i-1][j-1])
				switch field[i][j] {
				case 0:
					if i == 1 {
						tbl[i][j] = 1 // スタートy=1
					} else {
						if field[i-1][j-1] != 2 {
							tbl[i][j] += tbl[i-1][j-1] // 左上からやってくる
						}
						if field[i-1][j] != 2 {
							tbl[i][j] += tbl[i-1][j] // 真上からやってくる
						}
						if field[i-1][j+1] != 2 {
							tbl[i][j] += tbl[i-1][j+1] // 右上からやってくる
						}
						if field[i-2][j] == 2 {
							tbl[i][j] += tbl[i-2][j] // ジャンプしてくる
						}
					}
				case 1:
					tbl[i][j] = 0 // 障害物あり
				case 2:
					if field[i-1][j] != 2 {
						tbl[i][j] += tbl[i-1][j] // 真上からくる
					}
					if field[i-2][j] == 2 {
						tbl[i][j] += tbl[i-2][j] // ジャンプ台からジャンプしてくる
					}
				}
			}
		}
		sum := 0
		for i := 1; i <= X; i++ {
			sum += tbl[Y][i] // とびこさないでゴール
			if field[Y-1][i] == 2 {
				sum += tbl[Y-1][i] // 飛び越してゴール
			}
		}
		fmt.Println(sum)
	}
}

C++: #include<iostream>
using namespace std;
int solve(int x,int y);
int ax,ay;
int mas[200][200];
long long memo[200][200];
int main(){
  while(1){
    for(int i=0;i<200;i++){
      for(int j=0;j<200;j++){
	memo[i][j]=0;
      }
    }
    long long ans=0;
    cin>>ax>>ay;
    if(ax==0 && ay==0) break;
    
    for(int i=0;i<ay;i++){
      for(int j=0;j<ax;j++){
	cin>>mas[i][j];
      }
    }
    
    for(int i=0;i<ax;i++){
      if(mas[0][i]!=1){
	ans+=solve(i,0);
      }
    }
    cout<<ans<<endl;
  }
}
int solve(int x,int y){
  if(y>=ay){
    return 1;
  }else if(memo[y][x]!=0){
    return memo[y][x];
  }else if(mas[y][x]==1){
    return 0;
  }else if(mas[y][x]==2){
    return solve(x,y+2);
  } 
  else{
    long long anss=0; 
    if(mas[y+1][x]!=1){
      anss+=solve(x,y+1);
    }
    if(x+1<ax && mas[y+1][x+1]==0 && y+1!=ay){
      anss+=solve(x+1,y+1);
    }
    if(0<=x-1 && mas[y+1][x-1]==0 && y+1!=ay){
      anss+=solve(x-1,y+1);
    }
    return memo[y][x]=anss;
  }
}

C++: #include<iostream>
#include<vector>
#include<string>
#define int long long
using namespace std;

signed main() {
	int a, b;
	while (cin >> a >> b, a | b) {
		vector<vector<int>>masu(b + 1, vector<int>(a));
		vector<vector<int>>suberikata(b + 1, vector<int>(a));
		for (int c = 0; c < b; c++) {
			for (int d = 0; d < a; d++) {
				cin >> masu[c][d];
			}
		}
		for (int e = 0; e < a; e++) {
			if (masu[0][e] ==0)suberikata[0][e]++;
		}
		for (int f = 0; f < b-1; f++) {
			for (int g = 0; g < a; g++) {
				switch (masu[f][g]) {
				case 0:
					suberikata[f + 1][g] += suberikata[f][g];
					if (g > 0&&masu[f+1][g-1]!=2)suberikata[f + 1][g - 1] += suberikata[f][g];
					if (g < a - 1 && masu[f + 1][g + 1] != 2)suberikata[f + 1][g + 1] += suberikata[f][g];
					break;     
				case 2:suberikata[f + 2][g] += suberikata[f][g]; break;
				}
			}
		}
		int s = 0;
		for (int x = 0; x < a; x++) {
			if (masu[b - 1][x] != 1) { s += suberikata[b - 1][x]; }
		}
		for (int x = 0; x < a; x++) {
			s += suberikata[b][x]; 
		}
		cout << s << endl;
	}
}

C++: #define _USE_MATH_DEFINES
#include<cstdio>
#include<iostream>
#include<vector>
#include<algorithm>
#include<queue>
#include<stack>
#include<cmath>
#include<climits>
#include<map>
#include<string>
using namespace std;

int X, Y, Fld[17][15], memo[14][15];

int DFS(int y, int x){
	if(y >= Y-1) return 1;
	if(Fld[y][x] == 2) return DFS(y+2, x);
	if(memo[y][x] != -1) return memo[y][x];
	memo[y][x] = 0;

	for(int i = -1; i <= 1; i++){
		int ny = y+1, nx = x + i;
		if( nx < 0 || X <= nx || Fld[ny][nx] == 1 || (Fld[ny][nx] == 2 && i != 0) )
			continue;
		memo[y][x] += DFS(ny, nx);
	}

	return memo[y][x];
}

int main(){
	while(cin >> X >> Y, X || Y){
		fill_n( (int*)Fld, 17*15, 0 );
		for(int i = 0; i < Y; i++){
			for(int j = 0; j < X; j++){
				cin >> Fld[i][j];
			}
		}

		int ans = 0;
		fill_n( (int*)memo, 14*15, -1 );
		for(int i = 0; i < X; i++) if(Fld[0][i] == 0) ans += DFS(0, i);
		printf("%d\n", ans);
	}
	return 0;
}

C++: /* {{{ Shinobu kawaii */
/*
  ______   __        _                  __                 
.' ____ \ [  |      (_)                [  |                
| (___ \_| | |--.   __   _ .--.   .--.  | |.--.   __   _   
 _.____`.  | .-. | [  | [ `.-. |/ .'`\ \| '/'`\ \[  | | |  
| \____) | | | | |  | |  | | | || \__. ||  \__/ | | \_/ |, 
 \______.'[___]|__][___][___||__]'.__.'[__;.__.'  '.__.'_/ 

*/
// clang-format off
/* }}} */

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

// #define int long long
struct Fast {Fast(){std::cin.tie(0);ios::sync_with_stdio(false);}} fast;

/* cpp template {{{ */

/* short */
#define pb push_back
#define eb emplace_back
#define mp make_pair
#define Fi first
#define Se second
#define ALL(v) begin(v), end(v)
#define RALL(v) rbegin(v), rend(v)
#define X real()
#define Y imag()

/* REPmacro */
#define REPS(i, a, n) for (ll i = (a); i < (ll)(n); ++i)
#define REP(i, n) REPS(i, 0, n)
#define RREP(i, n) REPS(i, 1, n + 1)
#define DEPS(i, a, n) for (ll i = (a); i >= (ll)(n); --i)
#define DEP(i, n) DEPS(i, n, 0)

/* debug */
#define debug(x) cerr << x << " " << "(L:" << __LINE__ << ")" << '\n';

/* alias */
using ll = long long;
using ull = unsigned long long;
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using pii = pair<int, int>;
using D = double;
using P = complex<D>;
using vs = vector<string>;
template <typename T> using PQ = priority_queue<T>;
template <typename T> using minPQ = priority_queue<T, vector<T>, greater<T>>;

/* const */
const int INF = 1001001001;
const ll LINF = 1001001001001001001ll;
const int MOD = 1e9 + 7;
const D EPS = 1e-9;
const int dx[] = {0, 1, 0, -1, 1, -1, 1, -1}, dy[] = {1, 0, -1, 0, 1, -1, -1, 1};

/* func */
inline bool inside(int y, int x, int H, int W) {return y >= 0 && x >= 0 && y < H && x < W;}
inline int in() {int x; cin >> x; return x;}
inline ll IN() {ll x; cin >> x; return x;}
inline vs split(const string& t, char c) {vs v; stringstream s(t); string b; while(getline(s, b, c)) v.eb(b); return v;}
template <typename T> inline bool chmin(T& a, const T& b) {if (a > b) a = b; return a > b;}
template <typename T> inline bool chmax(T& a, const T& b) {if (a < b) a = b; return a < b;}
template <typename T> inline void print(const T& x) {cout << x << '\n';}
template <typename T, typename S> inline void print(const vector<pair<T, S>>& v) {for (auto&& p : v) print(p);}
template <typename T> inline void print(const vector<T>& v, string s = " ") {REP(i, v.size()) cout << v[i] << (i != (ll)v.size() - 1 ? s : "\n");}
// clang-format on
/* }}} */

int w, h;
int field[20][20];

ll dfs(int y, int x, int yy = -1, int xx = -1) {
  if (!inside(y, x, h + 1, w)) return 0;
  if (field[y][x] == 1) return 0;
  if (y >= h - 1) return 1;
  if (field[y][x] == 2 && x != xx) return 0;

  ll res;
  if (field[y][x] == 2) {
    res = dfs(y + 2, x, y, x);
  } else {
    res = dfs(y + 1, x, y, x) + dfs(y + 1, x + 1, y, x) + dfs(y + 1, x - 1, y, x);
  }

  return res;
}

signed main() {
  while (cin >> w >> h, w || h) {
    memset(field, -1, sizeof(field));
    REP(i, h) REP(j, w) field[i][j] = in();
    ll ans = 0;
    REP(i, w) {
      ans += dfs(0, i);
    }
    print(ans);
  }

  return 0;
}