#include <bits/stdc++.h>
using namespace std;
template <class T, size_t N>
ostream& operator<<(ostream& os, const array<T, N>& v);
template <class T1, class T2>
ostream& operator<<(ostream& os, const pair<T1, T2>& p) {
  return os << "(" << p.first << ", " << p.second << ")";
}
template <class T>
ostream& operator<<(ostream& os, const vector<T>& v) {
  bool f = 1;
  os << "[";
  for (auto& i : v) {
    if (!f) os << ", ";
    os << i;
    f = 0;
  }
  return os << "]";
}
template <class T, size_t N>
ostream& operator<<(ostream& os, const array<T, N>& v) {
  bool f = 1;
  os << "[";
  for (auto& i : v) {
    if (!f) os << ", ";
    os << i;
    f = 0;
  }
  return os << "]";
}
template <class T1, class T2>
ostream& operator<<(ostream& os, const set<T1, T2>& v) {
  bool f = 1;
  os << "[";
  for (auto& i : v) {
    if (!f) os << ", ";
    os << i;
    f = 0;
  }
  return os << "]";
}
template <class T1, class T2>
ostream& operator<<(ostream& os, const multiset<T1, T2>& v) {
  bool f = 1;
  os << "[";
  for (auto& i : v) {
    if (!f) os << ", ";
    os << i;
    f = 0;
  }
  return os << "]";
}
template <class T1, class T2, class T3>
ostream& operator<<(ostream& os, const map<T1, T2, T3>& v) {
  bool f = 1;
  os << "[";
  for (auto& ii : v) {
    if (!f) os << ", ";
    os << "(" << ii.first << " -> " << ii.second << ") ";
    f = 0;
  }
  return os << "]";
}
template <class T1, class T2>
ostream& operator<<(ostream& os, const multimap<T1, T2>& v) {
  bool f = 1;
  os << "[";
  for (auto& ii : v) {
    if (!f) os << ", ";
    os << "(" << ii.first << " -> " << ii.second << ") ";
    f = 0;
  }
  return os << "]";
}
template <class T1, class T2>
ostream& operator<<(ostream& os, priority_queue<T1, T2> v) {
  bool f = 1;
  os << "[";
  while (!v.empty()) {
    auto x = v.top();
    v.pop();
    if (!f) os << ", ";
    f = 0;
    os << x;
  }
  return os << "]";
}
template <class T1, class T2>
void printarray(const T1& a, T2 sz, T2 beg = 0) {
  for (T2 i = beg; i < sz; i++) cout << a[i] << " ";
  cout << endl;
}
long long N, x, y;
int main() {
  ios::sync_with_stdio(false);
  cin.tie(NULL);
  cin >> N >> x >> y;
  string s;
  cin >> s;
  vector<int> v;
  for (auto e : s) {
    if (e == '0')
      v.push_back(0);
    else
      v.push_back(1);
  }
  v.erase(unique(v.begin(), v.end()), v.end());
  long long ans = 0;
  long long cnt = 0;
  for (auto e : v)
    if (e == 0) cnt++;
  if (cnt == 0) {
    cout << ans << '\n';
    return 0;
  }
  ans += y;
  cnt--;
  ans += min(x, y) * cnt;
  cout << ans << '\n';
}
