n, x, y = map(int, input().split())
s = input().strip()
zero = 0
if s.count('0') == 0:
print(0)
exit()
cnt = sum([1 for x in s.split('1') if len(x)>0])
print((cnt-1)*min(x, y) + y)
#include<bits/stdc++.h>
using namespace std;
#define ll long long
int main()
{
ll n,x,y;
cin>>n>>x>>y;
string s;
cin>>s;
ll p=0;
for(int i=1;i<n;i++)
{
if(s[i]=='1' && s[i-1]=='0') p++;
} // 110010111001000011
if(s[n-1]=='0') p++;
if(p==0)
{
cout<<0<<endl;
return 0;
}
cout<<min(p*y,(p-1)*x+y)<<endl;
return 0;
}
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