#include<iostream>
#include<stdio.h>
#include<string>
#include<cmath>
using namespace std ;
#define MAXN 100007
#define eps 0.00001
int k ;
int n ;
string a ;
int x , y ;
int p , q ;
int dx , dy ;
int prefx[ MAXN ] ;
int prefy[ MAXN ] ;
double get_dist ( int a , int b , int c , int d ) {
double k = 1.00000 * ( a - c ) * ( a - c ) + 1.0000000 * ( b - d ) * ( b - d ) ;
return sqrt ( k ) ;
}
double f ( int id , int pos ) {
int u1 , u2 ;
u1 = p + dx * id + prefx[ pos ] ;
u2 = q + dy * id + prefy[ pos ] ;
return ( get_dist ( x , y , u1 , u2 ) ) ;
}
double get_opt ( int pos ) {
int l , r , mid1 , mid2 ;
double ret = f ( 0 , pos ) ;
l = 0 ;
r = k - 1 ;
while ( r - l > 3 ) {
mid1 = ( 2 * l + r ) / 3 ;
mid2 = ( l + 2 * r ) / 3 ;
double ret1 = f ( mid1 , pos ) ;
double ret2 = f ( mid2 , pos ) ;
if ( ret1 > ret2 - eps ) { l = mid1 ; }
else { r = mid2 ; }
}
for ( int i = l ; i <= r ; i ++ ) {
ret = min ( ret , f ( i , pos ) ) ;
}
return ret ;
}
void input ( ) {
cin >> k ;
cin >> a ;
n = a.size ( ) ;
cin >> x >> y >> p >> q ;
}
void solve ( ) {
int i ;
dx = dy = 0 ;
for ( i = 0 ; i < n ; i ++ ) {
if ( a[ i ] == 'L' ) { dx -- ; }
if ( a[ i ] == 'R' ) { dx ++ ; }
if ( a[ i ] == 'F' ) { dy ++ ; }
if ( a[ i ] == 'B' ) { dy -- ; }
prefx[ i ] = dx ;
prefy[ i ] = dy ;
}
double mx , mn ;
mx = mn = get_dist ( x , y , p , q ) ;
for ( i = 0 ; i < n ; i ++ ) {
mx = max ( mx , f ( 0 , i ) ) ;
mx = max ( mx , f ( k - 1 , i ) ) ;
mn = min ( mn , get_opt ( i ) ) ;
}
printf ( "%.12lf %.12lf\n" , mn , mx ) ;
}
int main ( ) {
input ( ) ;
solve ( ) ;
return 0 ;
}
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
2808 KB |
Output is correct |
2 |
Correct |
0 ms |
2808 KB |
Output is correct |
3 |
Correct |
0 ms |
2808 KB |
Output is correct |
4 |
Correct |
0 ms |
2808 KB |
Output is correct |
5 |
Correct |
0 ms |
2808 KB |
Output is correct |
6 |
Correct |
0 ms |
2808 KB |
Output is correct |
7 |
Correct |
0 ms |
2808 KB |
Output is correct |
8 |
Correct |
0 ms |
2808 KB |
Output is correct |
9 |
Correct |
3 ms |
2808 KB |
Output is correct |
10 |
Correct |
6 ms |
2808 KB |
Output is correct |
11 |
Correct |
3 ms |
2808 KB |
Output is correct |
12 |
Correct |
6 ms |
2808 KB |
Output is correct |
13 |
Correct |
6 ms |
2808 KB |
Output is correct |
14 |
Correct |
3 ms |
2808 KB |
Output is correct |
15 |
Correct |
6 ms |
2808 KB |
Output is correct |
16 |
Correct |
6 ms |
2808 KB |
Output is correct |
17 |
Correct |
6 ms |
2808 KB |
Output is correct |
18 |
Correct |
6 ms |
2808 KB |
Output is correct |
19 |
Correct |
9 ms |
2808 KB |
Output is correct |
20 |
Correct |
9 ms |
2808 KB |
Output is correct |