#include <bits/stdc++.h>
#define rep(i,n) for (int i = 0; i < (n); ++i)
#define All(v) (v).begin(),(v).end()
#define rall(v) (v).rbegin(),(v).rend()   //reverse
#define strall(v) (v).cbegin(),(v).cend() //const_itterator
#define IN(a, b, x) (a<=x&&x<b)
using namespace std;
using ll = long long;
using P = pair<int,int>;
using Graph = vector<vector<ll>>;
template<typename T> using min_priority_queue = priority_queue<T, vector<T>, greater<T>>;
template<typename t, typename u, typename Comp=less<>>
bool chmax(t& xmax, const u& x, Comp comp={}) { if(comp(xmax, x)) { xmax = x; return true; } return false;}
template<typename t, typename u, typename Comp=less<>>
bool chmin(t& xmin, const u& x, Comp comp={}) { if(comp(x, xmin)) { xmin = x; return true;} return false;}
const int INF = 1e8;
const ll infl = ll(1e18)+5;
/*
*ios::sync_with_stdio(false);
*cin.tie(0);
*/
template<int MOD> struct Fp {
    long long val;
    constexpr Fp(long long v = 0) noexcept : val(v % MOD) {
        if (val < 0) v += MOD;
    }
    constexpr int getmod() { return MOD; }
    constexpr Fp operator - () const noexcept {
        return val ? MOD - val : 0;
    }
    constexpr Fp operator + (const Fp& r) const noexcept { return Fp(*this) += r; }
    constexpr Fp operator - (const Fp& r) const noexcept { return Fp(*this) -= r; }
    constexpr Fp operator * (const Fp& r) const noexcept { return Fp(*this) *= r; }
    constexpr Fp operator / (const Fp& r) const noexcept { return Fp(*this) /= r; }
    constexpr Fp& operator += (const Fp& r) noexcept {
        val += r.val;
        if (val >= MOD) val -= MOD;
        return *this;
    }
    constexpr Fp& operator -= (const Fp& r) noexcept {
        val -= r.val;
        if (val < 0) val += MOD;
        return *this;
    }
    constexpr Fp& operator *= (const Fp& r) noexcept {
        val = val * r.val % MOD;
        return *this;
    }
    constexpr Fp& operator /= (const Fp& r) noexcept {
        long long a = r.val, b = MOD, u = 1, v = 0;
        while (b) {
            long long t = a / b;
            a -= t * b; swap(a, b);
            u -= t * v; swap(u, v);
        }
        val = val * u % MOD;
        if (val < 0) val += MOD;
        return *this;
    }
    constexpr bool operator == (const Fp& r) const noexcept {
        return this->val == r.val;
    }
    constexpr bool operator != (const Fp& r) const noexcept {
        return this->val != r.val;
    }
    friend constexpr ostream& operator << (ostream &os, const Fp<MOD>& x) noexcept {
        return os << x.val;
    }
    friend constexpr istream& operator >> (istream &is, Fp<MOD>& x) noexcept {
        return is >> x.val;
    }
    friend constexpr Fp<MOD> modpow(const Fp<MOD> &a, long long n) noexcept {
        if (n == 0) return 1;
        auto t = modpow(a, n / 2);
        t = t * t;
        if (n & 1) t = t * a;
        return t;
    }
};

const int MOD = 1000000007;
using mint = Fp<MOD>;

mint solve(const string &L){
  ll num = 0;
  mint res = 0;
  for(int i=0;i<L.size();i++){
    int len = (int)L.size() - i - 1;
    if(L[i] == '1') {
      //1のとき，2通り, 0のとき，0通り
      res += modpow(mint(2), num) * modpow(mint(3), len);
      ++num;
    }
  }
  res += modpow(mint(2),num);
  return res; 
}

int main(){
  string s;
  cin >> s;
  cout << solve(s) << endl;
}

Measured memory_bytes: 512