/** made by amunduzbaev **/
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
#include <ext/rope>
using namespace __gnu_pbds;
using namespace __gnu_cxx;
using namespace std;
#define ff first
#define ss second
#define pb push_back
#define mp make_pair
#define ub upper_bound
#define lb lower_bound
#define ll long long
#define ld long double
#define pii pair<int, int>
#define pll pair<ll, ll>
#define sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(),x.rend()
#define fastios ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
#define vll vector<ll>
#define vii vector<int>
#define vpii vector<pii>
#define vpll vector<pll>
#define cnt(a)__builtin_popcount(a)
template<class tmp> bool umin(tmp& a, const tmp b) {return a > b? a = b, true:false;}
template<class tmp> bool umax(tmp& a, const tmp b) {return a < b? a = b, true:false;}
typedef tree<pii,null_type,less<pii>,rb_tree_tag,tree_order_statistics_node_update> ordered_set;
const int N = 1e7+5;
const int mod = 1e9+7;
const ll inf = 1e18;
const ld Pi = acos(-1);
ll n, m, k, ans, a[N];
ll gx, gy, lx, ly;
string s;
void solve(){
cin>>k>>s;
cin>>lx>>ly;
cin>>gx>>gy;
ll nx = gx, ny = gy, ex = gx, ey = gy, sx = gx, sy = gy, wx = gx, wy = gy;
ll nmx = gx, nmy = gy, emx = gx, emy = gy, smx = gx, smy = gy, wmx = gx, wmy = gy;
ll disx = 0, disy = 0;
ll endx = gx, endy = gy;
ld maxdis = (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly)));
ld mindis = (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly)));
for(ll i=0;i<sz(s);i++){
if(s[i] == 'L') endx--;
else if(s[i] == 'R') endx++;
else if(s[i] == 'F') endy++;
else if(s[i] == 'B') endy--;
else continue;
umax(maxdis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
umin(mindis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
if(endy > ny) nx = endx, ny = endy;
else if((ld)sqrt(((nx - lx) * (nx - lx)) + ((ny - ly) * (ny - ly))) < (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly)))) nx = endx, ny = endy;
else if((ld)sqrt(((nmx - lx) * (nmx - lx)) + ((nmy - ly) * (nmy - ly))) > (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly)))) nmx = endx, nmy = endy;
if(endy < sy) sx = endx, sy = endy;
else if((ld)sqrt(((sx - lx) * (sx - lx)) + ((sy - ly) * (sy - ly))) < (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly)))) sx = endx, sy = endy;
else if((ld)sqrt(((smx - lx) * (smx - lx)) + ((smy - ly) * (smy - ly))) > (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly)))) smx = endx, smy = endy;
if(endx > ex) ex = endx, ey = endy;
else if((ld)sqrt(((ex - lx) * (ex - lx)) + ((ey - ly) * (ey - ly))) < (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly)))) ex = endx, ey = endy;
else if((ld)sqrt(((emx - lx) * (emx - lx)) + ((emy - ly) * (emy - ly))) > (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly)))) emx = endx, emy = endy;
if(endx < wx) wx = endx, wy = endy;
else if((ld)sqrt(((wx - lx) * (wx - lx)) + ((wy - ly) * (wy - ly))) < (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly)))) nx = endx, ny = endy;
else if((ld)sqrt(((wmx - lx) * (wmx - lx)) + ((wmy - ly) * (wmy - ly))) > (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly)))) wmx = endx, wmy = endy;
}
disx = endx - gx, disy = endy - gy;
nx = nx - endx, ny = ny - endy;
sx = sx - endx, sy = sy - endy;
ex = ex - endx, ey = ey - endy;
wx = wx - endx, wy = wy - endy;
nmx = nmx - endx, nmy = nmy - endy;
smx = smx - endx, smy = smy - endy;
emx = emx - endx, emy = emy - endy;
wmx = wmx - endx, wmy = wmy - endy;
for(ll j=1;j<k;j++){
endx += disx, endy += disy;
// NNNNNNNNNNNNNNNNNNNNNNNNNNNNNN
endx += nx, endy += ny;
umax(maxdis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
umin(mindis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
endx -= nx, endy -= ny;
endx += nmx, endy += nmy;
umax(maxdis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
umin(mindis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
endx -= nmx, endy -= nmy;
// SSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSS
endx += sx, endy += sy;
umax(maxdis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
umin(mindis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
endx -= sx, endy -= sy;
endx += smx, endy += smy;
umax(maxdis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
umin(mindis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
endx -= smx, endy -= smy;
// EEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
endx += ex, endy += ey;
umax(maxdis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
umin(mindis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
endx -= ex, endy -= ey;
endx += emx, endy += emy;
umax(maxdis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
umin(mindis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
endx -= emx, endy -= emy;
// WWWWWWWWWWWWWWWWWWWWWWWWWWWWW
endx += wx, endy += wy;
umax(maxdis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
umin(mindis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
endx -= wx, endy -= wy;
endx += wmx, endy += wmy;
umax(maxdis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
umin(mindis, (ld)sqrt(((endx - lx) * (endx - lx)) + ((endy - ly) * (endy - ly))));
endx -= wmx, endy -= wmy;
}
cout<<fixed<<setprecision(20)<<mindis<<" ";
cout<<fixed<<setprecision(20)<<maxdis<<"\n";
return;
}
/*
2
RFRBBL
0 0
1 1
*/
int main(){
fastios
int t = 1;
if(t) solve();
else {
cin>>t;
while (t--) solve();
}
return 0;
}
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
2 ms |
364 KB |
Output is correct |
| 2 |
Incorrect |
2 ms |
364 KB |
Output isn't correct |
| 3 |
Halted |
0 ms |
0 KB |
- |
