#define _USE_MATH_DEFINES
#define INF 0x3f3f3f3f
#include <cstdio>
#include <iostream>
#include <sstream>
#include <cmath>
#include <cstdlib>
#include <algorithm>
#include <queue>
#include <stack>
#include <limits>
#include <map>
#include <string>
#include <cstring>
#include <set>
#include <deque>
#include <bitset>
#include <list>
#include <cctype>
#include <utility>

using namespace std;

typedef long long ll;
typedef pair <int,int> P;
typedef pair <int,P > PP;

//int tx[] = {0,1,0,-1};
//int ty[] = {-1,a0,1,0};

const int tx[] = {0,1,1,0};
const int ty[] = {0,0,1,1};

static const double EPS = 1e-8;

ll mypow(ll x,int power){
	ll res = 1;
	while(power>0){
		if(power & 1) res *= x;
		x *= x;
		power >>= 1;
	}
	return res;
}

void init_format(vector<vector<string> >& bit_format){
	bit_format.resize(4);

	bit_format[0].push_back("0xxxxxxx");

	bit_format[1].push_back("110yyyyx");
	bit_format[1].push_back("10xxxxxx");

	bit_format[2].push_back("1110yyyy");
	bit_format[2].push_back("10yxxxxx");
	bit_format[2].push_back("10xxxxxx");

	bit_format[3].push_back("11110yyy");
	bit_format[3].push_back("10yyxxxx");
	bit_format[3].push_back("10xxxxxx");
	bit_format[3].push_back("10xxxxxx");
}

ll CountPatterns(int start,int last,const vector<vector<string> >& bit_format,const vector<string>& bits,int len){
	bool isok = true;

	int x_num = 0;
	int y_num = 0;
	int y1_num = 0;
	int y0_num = 0;

	for(int i=start,k=0;i<bits.size() && i <= last && k< bit_format[len-1].size();i++,k++){

		for(int j=0;j<bits[i].size() && j< bit_format[len-1][k].size();j++){

			if(bits[i][j]=='x'){
				if(bit_format[len-1][k][j] == 'x'){
					x_num++;
				}

				else if(bit_format[len-1][k][j] == 'y'){
					y_num++;
				}
			}

			else if(bits[i][j]=='1'){
				if(bit_format[len-1][k][j] =='0'){
					isok = false;
				}

				else if(bit_format[len-1][k][j] == 'y'){
					y1_num++;
				}
				else{
					continue;
				}
			}
			else if(bits[i][j] == '0'){
				if(bit_format[len-1][k][j] =='1'){
					isok = false;
				}
				else if(bit_format[len-1][k][j] == 'y'){
					y0_num++;
				}
			}
		}
	}

	if(y_num==0 && y1_num==0 && y0_num > 0) isok = false;

	ll x_patterns = mypow(2,x_num);
	ll y_patterns = 1;

	if(y1_num > 0){
		y_patterns = mypow(2,y_num);
	}
	else{
		y_patterns = mypow(2,y_num)-1;
	}

	if(y_patterns == 0) y_patterns = 1;
	if(!isok) return 0;

	x_patterns %= 1000000;
	y_patterns %= 1000000;

	return x_patterns*y_patterns % 1000000LL;
}

ll dp[1001];

int main(){
	vector<vector<string> > bit_format;
	init_format(bit_format);

	int N;
	while(cin >> N){
		if(N==0) break;

		string line;
		vector<string> bits;
		for(int i=0;i<N;i++){
			string line;
			cin >> line;
			bits.push_back(line);
		}

		
		memset(dp,0,sizeof(dp));
		for(int start=0;start<N ;start++){
			for(int len = 4; len >=1; len--){
				if(start-len+1 < 0) continue;
				ll patterns = CountPatterns(start-len+1,start,bit_format,bits,len);	
				dp[start] += patterns * (start-len >=0 ? dp[start-len] : 1);
				dp[start] %= 1000000LL;
			}
		}
		printf("%ld\n",dp[N-1]%1000000LL);
	}
}