#include <bits/stdc++.h>
using namespace std;
string s;
int main() {
  long long n, x, y, br = 0, k = 0;
  cin >> n >> x >> y;
  cin >> s;
  for (long i = 0; i < n; i++) {
    if (s[i] == '0') {
      if (i == 0) {
        br++;
      } else if (s[i - 1] != '0') {
        br++;
      }
    }
  }
  long long sol = min(br * y, (br - 1) * x + y);
  if (sol < 0) {
    sol = br * y;
  }
  cout << sol << endl;
}
