/*
*/

#include <bits/stdc++.h>
using namespace std;
#define ALL(x) (x).begin(),(x).end()
#define REP(i, n) for(ll i=0; i<(ll)(n); i++)

template<typename T> int LB(const vector<T>& v, T x) { return lower_bound(ALL(v),x)-v.begin(); }
template<typename T> int UQ(T& v) { sort(ALL(v)); v.erase(unique(ALL(v)),v.end()); return v.size(); }
template<typename T> bool chmax(T &a, T b) { return a<b ? a=b, true : false; }
template<typename T> bool chmin(T &a, T b) { return a>b ? a=b, true : false; }
template<typename T> using rpriority_queue = priority_queue<T,vector<T>,greater<T>>;
using ll=long long; const int INF=1e9+10; const ll INFL=4e18;
using ld=long double; using lll=__int128_t; using ull=unsigned long long;
using VI=vector<int>; using VVI=vector<VI>; using VL=vector<ll>; using VVL=vector<VL>;
using PL=pair<ll,ll>; using VP=vector<PL>; using WG=vector<vector<pair<int,ll>>>;


#ifdef LOCAL
#include "./debug.hpp"
#else
#define debug(...)
#define print_line
#endif



/// @brief ModInt
template<ll MOD>
struct ModInt {
    ModInt(ll x=0){ value=(x>=0?x%MOD:MOD-(-x)%MOD); }

    ModInt operator-() const { return ModInt(-value); }
    ModInt operator+() const { return ModInt(*this); }
    ModInt& operator+=(const ModInt& other) {
        value+=other.value;
        if(value>=MOD) value-=MOD;
        return*this;
    }
    ModInt& operator-=(const ModInt& other) {
        value+=MOD-other.value;
        if(value>=MOD) value-=MOD;
        return*this;
    }
    ModInt& operator*=(const ModInt other) {
        value=value*other.value%MOD;
        return*this;
    }
    ModInt& operator/=(ModInt other) {
        (*this)*=other.inv();
        return*this;
    }
    ModInt operator+(const ModInt& other) const { return ModInt(*this)+=other; }
    ModInt operator-(const ModInt& other) const { return ModInt(*this)-=other; }
    ModInt operator*(const ModInt& other) const { return ModInt(*this)*=other; }
    ModInt operator/(const ModInt& other) const { return ModInt(*this)/=other; }
    bool operator==(const ModInt& other) const { return value==other.value; }
    bool operator!=(const ModInt& other) const { return value!=other.value; }
    friend ostream& operator<<(ostream& os, const ModInt& x) { return os<<x.value; }
    friend istream& operator>>(istream& is, ModInt& x) {
        ll v;
        is>>v;
        x=ModInt<MOD>(v);
        return is;
    }

    ModInt pow(ll x) const { 
        ModInt ret(1),mul(value);
        while(x) {
            if(x&1) ret*=mul;
            mul*=mul;
            x>>=1;
        }
        return ret;
    }
    ModInt inv() const { return pow(MOD-2); }
    ll val() {return value; }
    static constexpr ll mod() { return MOD; }

private:
    ll value;
};

using Mod998=ModInt<998244353>;
using Mod107=ModInt<1000000007>;

#define VM vector<mint>
#define VVM vector<vector<mint>>

using mint=Mod107;

template<typename T>
vector<vector<T>> MatMul(const vector<vector<T>>& A, const vector<vector<T>>& B) {
    int N=A.size();
    vector<vector<T>> ret(N,vector<T>(N));
    for(int i=0; i<N; i++) for(int j=0; j<N; j++) for(int k=0; k<N; k++) {
        ret[i][j]+=A[i][k]*B[k][j];
    }
    return ret;
}

template<typename T>
vector<vector<T>> MatPow(vector<vector<T>> A, ll b) {
    int N=A.size();
    vector<vector<T>> ret(N,vector<T>(N));
    for(int i=0; i<N; i++) ret[i][i]=1;
    while(b) {
        if(b&1) ret=MatMul(ret,A);
        A=MatMul(A,A);
        b>>=1;
    }
    return ret;
}

//----------------------------------------------------------

void solve() {
    string T; ll K; cin>>T>>K;
    ll N=T.size();

    VVM mat0={
        {1,1,0,0,0,0,1},
        {0,1,0,0,0,0,0},
        {0,1,1,1,0,0,1},
        {0,0,0,1,0,0,0},
        {0,1,0,2,1,1,1},
        {0,0,0,0,0,1,0},
        {0,0,0,0,0,0,1},
    }, mat1={
        {1,0,0,0,0,0,0},
        {1,1,0,0,0,0,1},
        {0,0,1,0,0,0,0},
        {1,0,1,1,0,0,1},
        {0,0,0,0,1,0,0},
        {1,0,2,0,1,1,1},
        {0,0,0,0,0,0,1},
    }, id={
        {1,0,0,0,0,0,0},
        {0,1,0,0,0,0,0},
        {0,0,1,0,0,0,0},
        {0,0,0,1,0,0,0},
        {0,0,0,0,1,0,0},
        {0,0,0,0,0,1,0},
        {0,0,0,0,0,0,1},
    };

    for(char c: T) {
        if(c=='0') id=MatMul(id,mat0);
        else id=MatMul(id,mat1);
    }
    id=MatPow(id,K);

    cout<<id[4][6]+id[5][6]<<endl;
}

int main() {
    ios::sync_with_stdio(false); cin.tie(nullptr);
    //cout<<fixed<<setprecision(15);
    int T=1;
    //cin>>T;
    while(T--) solve();
}