#include <bits/stdc++.h>
using namespace std;
signed main() {
  ios_base::sync_with_stdio(false);
  cin.tie(0);
  cout.tie(0);
  long long TESTS = 1;
  while (TESTS--) {
    long long n, x, y;
    cin >> n >> x >> y;
    string s;
    cin >> s;
    long long cnt = 0;
    char c = s[0];
    for (auto i : s)
      if (i == c)
        continue;
      else {
        if (c == '0') cnt++;
        c = i;
      }
    if (c == '0') cnt++;
    if (!cnt) return cout << 0, 0;
    if (x < y)
      cout << x * (cnt - 1) + y;
    else
      cout << cnt * y;
  }
  return 0;
}
