#include <bits/stdc++.h>
using namespace std;
#define int long long
signed main()
{
int k;
cin>>k;
string s;
cin>>s;
int x,y,x1,y1;
cin>>x1>>y1>>x>>y;
int x2=x, y2=y, tx=0, ty=0, mx=(x-x1)*(x-x1)+(y-y1)*(y-y1);
for (int i=0;i<s.size();i++)
{
if (s[i]=='L') x--, tx--;
if (s[i]=='R') x++, tx++;
if (s[i]=='B') y--, ty--;
if (s[i]=='F') y++, ty++;
mx=max(mx,(x-x1)*(x-x1)+(y-y1)*(y-y1));
}
x=x2, y=y2;
vector<pair<int,int>> v;
for (int i=0;i<=k;i++)
v.push_back({(x-x1)*(x-x1)+(y-y1)*(y-y1),i}), x+=tx, y+=ty;
sort(v.begin(),v.end());
int mn=mx;
x=x2, y=y2;x+=tx*(k-1), y+=ty*(k-1);
mx=max(mx,(x-x1)*(x-x1)+(y-y1)*(y-y1));
for (int i=0;i<s.size();i++)
{
if (s[i]=='L') x--;
if (s[i]=='R') x++;
if (s[i]=='B') y--;
if (s[i]=='F') y++;
mx=max(mx,(x-x1)*(x-x1)+(y-y1)*(y-y1));
}
for (int j=0;j<min(3,(signed)v.size());j++)
{
mn=min(mn,v[j].first);
if (v[j].second==k) continue;
x=x2+tx*v[j].second, y=y2+ty*v[j].second;
for (int i=0;i<s.size();i++)
{
if (s[i]=='L') x--;
if (s[i]=='R') x++;
if (s[i]=='B') y--;
if (s[i]=='F') y++;
mn=min(mn,(x-x1)*(x-x1)+(y-y1)*(y-y1));
}
}
cout<<setprecision(15)<<mn<<' '<<mx<<endl;
return 0;
}
