Problem: Koa the Koala has a binary string s of length n. Koa can perform no more than n-1 (possibly zero) operations of the following form:

In one operation Koa selects positions i and i+1 for some i with 1 ≤ i < |s| and sets s_i to max(s_i, s_{i+1}). Then Koa deletes position i+1 from s (after the removal, the remaining parts are concatenated).

Note that after every operation the length of s decreases by 1.

How many different binary strings can Koa obtain by doing no more than n-1 (possibly zero) operations modulo 10^9+7 (1000000007)?

Input

The only line of input contains binary string s (1 ≤ |s| ≤ 10^6). For all i (1 ≤ i ≤ |s|) s_i = 0 or s_i = 1.

Output

On a single line print the answer to the problem modulo 10^9+7 (1000000007).

Examples

Input


000


Output


3


Input


0101


Output


6


Input


0001111


Output


16


Input


00101100011100


Output


477

Note

In the first sample Koa can obtain binary strings: 0, 00 and 000.

In the second sample Koa can obtain binary strings: 1, 01, 11, 011, 101 and 0101. For example:

  * to obtain 01 from 0101 Koa can operate as follows: 0101 → 0(10)1 → 011 → 0(11) → 01. 
  * to obtain 11 from 0101 Koa can operate as follows: 0101 → (01)01 → 101 → 1(01) → 11. 



Parentheses denote the two positions Koa selected in each operation.

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
template <class t, class u>
void chmax(t& first, u second) {
  if (first < second) first = second;
}
template <class t, class u>
void chmin(t& first, u second) {
  if (second < first) first = second;
}
template <class t>
using vc = vector<t>;
template <class t>
using vvc = vc<vc<t>>;
using pi = pair<ll, ll>;
using vi = vc<ll>;
template <class t, class u>
ostream& operator<<(ostream& os, const pair<t, u>& p) {
  return os << "{" << p.first << "," << p.second << "}";
}
template <class t>
ostream& operator<<(ostream& os, const vc<t>& v) {
  os << "{";
  for (auto e : v) os << e << ",";
  return os << "}";
}
using uint = unsigned;
using ull = unsigned long long;
template <class t, size_t n>
ostream& operator<<(ostream& os, const array<t, n>& first) {
  return os << vc<t>(first.begin(), first.end());
}
template <ll i, class T>
void print_tuple(ostream&, const T&) {}
template <ll i, class T, class H, class... Args>
void print_tuple(ostream& os, const T& t) {
  if (i) os << ",";
  os << get<i>(t);
  print_tuple<i + 1, T, Args...>(os, t);
}
template <class... Args>
ostream& operator<<(ostream& os, const tuple<Args...>& t) {
  os << "{";
  print_tuple<0, tuple<Args...>, Args...>(os, t);
  return os << "}";
}
template <class t>
void print(t x, ll suc = 1) {
  cout << x;
  if (suc == 1) cout << "\n";
  if (suc == 2) cout << " ";
}
ll read() {
  ll i;
  cin >> i;
  return i;
}
vi readvi(ll n, ll off = 0) {
  vi v(n);
  for (ll i = ll(0); i < ll(n); i++) v[i] = read() + off;
  return v;
}
template <class T>
void print(const vector<T>& v, ll suc = 1) {
  for (ll i = ll(0); i < ll(v.size()); i++)
    print(v[i], i == ll(v.size()) - 1 ? suc : 2);
}
string readString() {
  string s;
  cin >> s;
  return s;
}
template <class T>
T sq(const T& t) {
  return t * t;
}
void yes(bool ex = true) {
  cout << "Yes"
       << "\n";
  if (ex) exit(0);
}
void no(bool ex = true) {
  cout << "No"
       << "\n";
  if (ex) exit(0);
}
void possible(bool ex = true) {
  cout << "Possible"
       << "\n";
  if (ex) exit(0);
}
void impossible(bool ex = true) {
  cout << "Impossible"
       << "\n";
  if (ex) exit(0);
}
constexpr ll ten(ll n) { return n == 0 ? 1 : ten(n - 1) * 10; }
const ll infLL = LLONG_MAX / 3;
const ll inf = infLL;
ll topbit(signed t) { return t == 0 ? -1 : 31 - __builtin_clz(t); }
ll topbit(ll t) { return t == 0 ? -1 : 63 - __builtin_clzll(t); }
ll botbit(signed first) { return first == 0 ? 32 : __builtin_ctz(first); }
ll botbit(ll first) { return first == 0 ? 64 : __builtin_ctzll(first); }
ll popcount(signed t) { return __builtin_popcount(t); }
ll popcount(ll t) { return __builtin_popcountll(t); }
bool ispow2(ll i) { return i && (i & -i) == i; }
ll mask(ll i) { return (ll(1) << i) - 1; }
bool inc(ll first, ll second, ll c) { return first <= second && second <= c; }
template <class t>
void mkuni(vc<t>& v) {
  sort(v.begin(), v.end());
  v.erase(unique(v.begin(), v.end()), v.end());
}
ll rand_int(ll l, ll r) {
  static mt19937_64 gen(chrono::steady_clock::now().time_since_epoch().count());
  return uniform_int_distribution<ll>(l, r)(gen);
}
template <class t>
void myshuffle(vc<t>& first) {
  for (ll i = ll(0); i < ll(ll(first.size())); i++)
    swap(first[i], first[rand_int(0, i)]);
}
template <class t>
ll lwb(const vc<t>& v, const t& first) {
  return lower_bound(v.begin(), v.end(), first) - v.begin();
}
struct modinfo {
  uint mod, root;
};
template <modinfo const& ref>
struct modular {
  static constexpr uint const& mod = ref.mod;
  static modular root() { return modular(ref.root); }
  uint v;
  modular(ll vv = 0) { s(vv % mod + mod); }
  modular& s(uint vv) {
    v = vv < mod ? vv : vv - mod;
    return *this;
  }
  modular operator-() const { return modular() - *this; }
  modular& operator+=(const modular& rhs) { return s(v + rhs.v); }
  modular& operator-=(const modular& rhs) { return s(v + mod - rhs.v); }
  modular& operator*=(const modular& rhs) {
    v = ull(v) * rhs.v % mod;
    return *this;
  }
  modular& operator/=(const modular& rhs) { return *this *= rhs.inv(); }
  modular operator+(const modular& rhs) const { return modular(*this) += rhs; }
  modular operator-(const modular& rhs) const { return modular(*this) -= rhs; }
  modular operator*(const modular& rhs) const { return modular(*this) *= rhs; }
  modular operator/(const modular& rhs) const { return modular(*this) /= rhs; }
  modular pow(ll n) const {
    modular res(1), x(*this);
    while (n) {
      if (n & 1) res *= x;
      x *= x;
      n >>= 1;
    }
    return res;
  }
  modular inv() const { return pow(mod - 2); }
  friend modular operator+(ll x, const modular& y) { return modular(x) + y; }
  friend modular operator-(ll x, const modular& y) { return modular(x) - y; }
  friend modular operator*(ll x, const modular& y) { return modular(x) * y; }
  friend modular operator/(ll x, const modular& y) { return modular(x) / y; }
  friend ostream& operator<<(ostream& os, const modular& m) {
    return os << m.v;
  }
  friend istream& operator>>(istream& is, modular& m) {
    ll x;
    is >> x;
    m = modular(x);
    return is;
  }
  bool operator<(const modular& r) const { return v < r.v; }
  bool operator==(const modular& r) const { return v == r.v; }
  bool operator!=(const modular& r) const { return v != r.v; }
  explicit operator bool() const { return v; }
};
extern constexpr modinfo base{1000000007, 0};
using mint = modular<base>;
const ll vmax = (1 << 21) + 10;
mint fact[vmax], finv[vmax], invs[vmax];
void initfact() {
  fact[0] = 1;
  for (ll i = ll(1); i < ll(vmax); i++) {
    fact[i] = fact[i - 1] * i;
  }
  finv[vmax - 1] = fact[vmax - 1].inv();
  for (ll i = vmax - 2; i >= 0; i--) {
    finv[i] = finv[i + 1] * (i + 1);
  }
  for (ll i = vmax - 1; i >= 1; i--) {
    invs[i] = finv[i] * fact[i - 1];
  }
}
mint choose(ll n, ll k) { return fact[n] * finv[n - k] * finv[k]; }
mint binom(ll first, ll second) {
  return fact[first + second] * finv[first] * finv[second];
}
mint catalan(ll n) {
  return binom(n, n) - (n - 1 >= 0 ? binom(n - 1, n + 1) : 0);
}
signed main() {
  cin.tie(0);
  ios::sync_with_stdio(0);
  cout << fixed << setprecision(20);
  string s;
  cin >> s;
  ll n = ll(s.size());
  if (s == string(n, '0')) {
    cout << n << endl;
    return 0;
  }
  ll waf = 0;
  while (s.back() == '0') {
    waf++;
    s.pop_back();
    n--;
  }
  vi z;
  for (ll i = 0; i < n;) {
    if (s[i] == '0') {
      ll j = i;
      while (j < n && s[i] == s[j]) j++;
      z.push_back(j - i);
      i = j;
    } else {
      z.push_back(-1);
      i++;
    }
  }
  void(0);
  vi h;
  vc<mint> w;
  mint last = 1;
  ll cnt = 0;
  mint ans = 0;
  bool fs = true;
  for (auto v : z) {
    if (v == -1) {
      ans += last;
      cnt++;
    } else {
      mint nx = last;
      if (fs) nx += last * v;
      w.push_back(last * cnt);
      h.push_back(0);
      mint sum = 0;
      while (ll(h.size()) && h.back() <= v) {
        ll t = h.back();
        h.pop_back();
        mint q = w.back();
        w.pop_back();
        void(0);
        nx += q * (v - t);
        sum += q;
      }
      void(0);
      w.push_back(sum);
      h.push_back(v);
      last = nx;
      cnt = 0;
    }
    void(0);
    void(0);
    void(0);
    fs = false;
  }
  cout << ans * (waf + 1) << endl;
}