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++: /* {{{ 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];
int memo[20][20];

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

  if (memo[y][x] != -1) return memo[y][x];

  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 memo[y][x] = res;
}

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

  return 0;
}

C++: #include<iostream>
#include<vector>
#include<algorithm>
#include<numeric>
using namespace std;

int main() {
	int x, y;
	while (cin >> x >> y, x, y) {
		vector<vector<int>> course(y + 2, vector<int>(x + 2, 0));
		for (int i = 1; i <= y; i++) {
			for (int j = 1; j <= x; j++) {
				cin >> course[i][j];
			}
		}

		vector<vector<int>> path(y + 2, vector<int>(x + 2, 0));
		//?????????????????????????????????1????????????
		for (int i = 1; i <= x; i++) {
			if (course[1][i] != 1) path[1][i] = 1;
		}

		for (int i = 1; i <= y; i++) {
			for (int j = 1; j <= x; j++) {
				//????????????????????´????????????????????´??????????????????????????????????????????
				//?????????????§????????????????????????´?????????????????????????????£????????°?????´????????????????????????
				if (course[i][j] == 0) {
					if (course[i + 1][j + 1] == 0) path[i + 1][j + 1] += path[i][j];
					if (course[i + 1][j] != 1) path[i + 1][j] += path[i][j];
					if (course[i + 1][j - 1] == 0) path[i + 1][j - 1] += path[i][j];
				}
				//?¬???????????????´???????????£????????°????????????????????????????????????
				//?????????????????£????????§??´??????????????´???????????????(?????£?????????????????????????????´???????????????)
				if (course[i][j] == 2 && course[i + 2][j] != 1) {
					path[i + 2][j] += path[i][j];
					if (i + 2 > y && i != y) path[y][j] += path[i][j];
				}
				//???????????´???????????????????????????????????????
				if (course[i][j] == 1) {/*do anything*/ }
			}
		}

		cout << accumulate(path[y].begin() + 1, path[y].end() - 1, 0) << endl;

	}
}

C++: #include <cstdio>
#include <iostream>

#define reep(i,n,m) for(int i=(n);i<(m);i++)
#define rep(i,n) reep(i,0,n)

using namespace std;

int main(){
    int X,Y;
    while(cin >> X >> Y,X+Y){
        int fld[20][20] = {0};
        rep(y,Y){
            rep(x,X){
                cin >> fld[y][x];
            }
        }

        int dp[20][20] = {0};
        rep(x,X){
            dp[0][x] = 1;
        }

        rep(y,Y){
            rep(x,X){
                int val = dp[y][x];
                if(fld[y][x] == 0){
                    if(y==Y-1)
                        continue;
                    if(x>0 && fld[y+1][x-1] != 2){
                        dp[y+1][x-1] += val;
                    }
                    if(fld[y+1][x+1] != 2){
                        dp[y+1][x+1] += val;
                    }
                    dp[y+1][x] += val;
                }else if(fld[y][x] == 2){
                    dp[y+2][x] += val;
                }
            }
        }

        int ans = 0;
        rep(i,2){
            rep(x,X){
                if(fld[Y+i-1][x] == 0)
                    ans += dp[Y+i-1][x];
            }
        }
        cout << ans << endl;
    }
    return 0;
}