/**
	author:  shobonvip
	created: 2025.07.12 05:57:13
**/

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

//* ATCODER
#include<atcoder/all>
using namespace atcoder;
typedef modint1000000007 mint;
//*/

/* BOOST MULTIPRECISION
#include<boost/multiprecision/cpp_int.hpp>
using namespace boost::multiprecision;
//*/

typedef long long ll;

#define rep(i, s, n) for (int i = (int)(s); i < (int)(n); i++)
#define rrep(i, s, n) for (int i = (int)(n)-1; i >= (int)(s); i--)
#define all(v) v.begin(), v.end()

template <typename T> bool chmin(T &a, const T &b) {
	if (a <= b) return false;
	a = b;
	return true;
}

template <typename T> bool chmax(T &a, const T &b) {
	if (a >= b) return false;
	a = b;
	return true;
}

template <typename T> T max(vector<T> &a){
	assert(!a.empty());
	T ret = a[0];
	for (int i=0; i<(int)a.size(); i++) chmax(ret, a[i]);
	return ret;
}

template <typename T> T min(vector<T> &a){
	assert(!a.empty());
	T ret = a[0];
	for (int i=0; i<(int)a.size(); i++) chmin(ret, a[i]);
	return ret;
}

template <typename T> T sum(vector<T> &a){
	T ret = 0;
	for (int i=0; i<(int)a.size(); i++) ret += a[i];
	return ret;
}

int main(){
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);
	
	string s; cin >> s;
	vector<vector<mint>> mat0(9, vector<mint>(9));
	vector<vector<mint>> mat1(9, vector<mint>(9));
	rep(i,0,9){
		mat0[i][i] = 1;
		mat1[i][i] = 1;
	}
	mat0[1][0] = 1;
	mat0[1][2] = 1;
	mat0[3][0] = 1;
	mat0[3][2] = 1;
	mat0[3][4] = 1;
	mat0[5][0] = 1;
	mat0[5][2] = 1;
	mat0[5][6] = 1;
	mat0[7][0] = 1;
	mat0[7][2] = 1;
	mat0[7][4] = 1;
	mat0[7][6] = 1;
	mat0[7][8] = 1;
	
	mat1[2][0] = 1;
	mat1[2][1] = 1;
	mat1[4][0] = 1;
	mat1[4][1] = 1;
	mat1[4][3] = 1;
	mat1[6][0] = 1;
	mat1[6][1] = 1;
	mat1[6][5] = 1;
	mat1[8][0] = 1;
	mat1[8][1] = 1;
	mat1[8][3] = 1;
	mat1[8][5] = 1;
	mat1[8][7] = 1;

	vector<vector<mint>> mb(9, vector<mint>(9));
	rep(i,0,9) {
		mb[i][i] = 1;
	}

	rep(i,0,(int)s.size()) {
		if (s[i] == '0') {
			vector<vector<mint>> nmb(9, vector<mint>(9));
			rep(x,0,9) rep(y,0,9) rep(z,0,9) {
				nmb[x][y] += mat0[x][z] * mb[z][y];
			}
			swap(mb, nmb);
		}else{
			vector<vector<mint>> nmb(9, vector<mint>(9));
			rep(x,0,9) rep(y,0,9) rep(z,0,9) {
				nmb[x][y] += mat1[x][z] * mb[z][y];
			}
			swap(mb, nmb);
		}
	}
	vector mat(60, vector(9, vector<mint>(9)));
	mat[0] = mb;
	rep(num,0,59){
		rep(i,0,9)rep(j,0,9)rep(k,0,9){
			mat[num+1][i][j]+=mat[num][i][k]*mat[num][k][j];
		}
	}
	
	ll m; cin >> m;
	vector<mint> arr(9);
	arr[0]=1;
	rep(num,0,60){
		if(m>>num&1){
			vector<mint> narr(9);
			rep(i,0,9)rep(j,0,9){
				narr[i]+=mat[num][i][j]*arr[j];
			}			
			swap(narr,arr);
		}
	}
	cout<<(arr[7]+arr[8]).val()<<'\n';
}