#include <bits/stdc++.h>
using namespace std;
bool Check(int N, int pos) { return (bool)(N & (1 << pos)); }
int Set(int N, int pos) { return N = N | (1 << pos); }
int fx[] = {+0, +0, +1, -1, -1, +1, -1, +1};
int fy[] = {-1, +1, +0, +0, +1, +1, -1, -1};
int hr[] = {-2, -2, -1, +1, +2, +2, -1, +1};
int hc[] = {+1, -1, +2, +2, -1, +1, -2, -2};
int dx[] = {+1, -1, +0, +0};
int dy[] = {+0, +0, +1, -1};
const int MAXN = (int)1e5 + 9;
int main() {
  long long i, j, k, l, m, n, p, q, x, y, u, v, r, tc, t;
  string s;
  cin >> n >> x >> y;
  cin >> s;
  long long cnt = 0;
  for (int i = 0; i <= (int)n - 1; i++) {
    if (s[i] == '0') {
      cnt++;
      i++;
      while (i < n && s[i] == '0') i++;
    }
  }
  if (cnt == 0)
    cout << 0 << endl;
  else if (cnt == 1) {
    cout << y << endl;
  } else {
    cout << min((cnt - 1) * x + y, cnt * y) << endl;
  }
  return 0;
}
