📄 2712962_wa.cpp
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#include "stdio.h"
#include "math.h"
#define size 100
#define printg(a,b,c,d) printf("%g %g %g %g\n",a,b,c,d )
#define printlf(a,b,c,d) printf("%.4lf %.4lf %.4lf %.4lf\n", a,b,c,d )
typedef double DEC;
typedef int INT;
typedef struct Coordinate{
DEC x, y;
}COOR;
typedef struct line{
INT a, b, c;
DEC d, dirx, diry;
}LINE;
COOR point[ size ], corner[ size ], circle[ 2 ];
LINE wall[ size ];
INT n, r, flag[ size ];
DEC PI;
void input(){
INT i;
scanf("%d%d", &n, &r );
for ( i = 0; i < n; i++ ){
scanf("%lf%lf", &(point[ i ].x), &(point[ i ].y) );
}
}
void InitLine(){
INT i, s, e;
DEC t;
for ( s = 0; s < n; s++ ){
e = s + 1 < n ? s + 1 : 0;
wall[ s ].a = point[ e ].y - point[ s ].y;
wall[ s ].b = point[ s ].x - point[ e ].x;
wall[ s ].c = -point[ e ].x * wall[ s ].a -point[ e ].y * wall[ s ].b;
wall[ s ].d = sqrt( wall[ s ].a * wall[ s ].a + wall[ s ].b * wall[ s ].b );
wall[ s ].dirx = -wall[ s ].b / wall[ s ].d;
wall[ s ].diry = wall[ s ].a / wall[ s ].d;
}
}
DEC ABS( DEC x ){
return x >= 0 ? x : -x;
}
DEC distance( COOR p, LINE l ){
return ABS( p.x * l.a + p.y * l.b + l.c ) / l.d;
}
DEC Formal( DEC x ){
INT a , flag = 1;
if ( x < 0 ){
flag = -1;
x *= -1;
}
a = ( INT ) ( x * 10000 );
x = a / 10000;
x += a % 10000 * 0.0001;
return flag * x;
}
void CorssPoint( INT e ){
INT s, i, j, a[ 2 ], b[ 2 ];
DEC dx, dy, c[ 2 ];
s = e - 1 >= 0 ? e - 1 : n - 1;
dx = wall[ e ].dirx - wall[ s ].dirx;dy = wall[ e ].diry - wall[ s ].diry;
a[ 0 ] = wall[ s ].a;a[ 1 ] = wall[ e ].a;
b[ 0 ] = wall[ s ].b;b[ 1 ] = wall[ e ].b;
//printf("%d : %lf %lf\n", e, dx, dy );
for ( i = -1; i <= 1; i += 2 ){
c[ 0 ] = wall[ s ].c + i * r * wall[ s ].d;
for ( j = -1; j <= 1; j+= 2 ){
c[ 1 ] = wall[ e ].c + j * r * wall[ e ].d;
corner[ e ].x = (c[0]*b[1]-c[1]*b[0])/(a[1]*b[0]-a[0]*b[1]);
corner[ e ].y = (c[0]*a[1]-c[1]*a[0])/(a[0]*b[1]-a[1]*b[0]);
//printf("%lf %lf\n", corner[ e ].x, corner[ e ].y );
//printf("%lf %lf\n\n", corner[ e ].x - point[ e ].x, corner[ e ].y - point[ e ].y );
if ( dx * ( corner[ e ].x - point[ e ].x ) >= 0 && dy * (corner[ e ].y - point[ e ].y) >= 0 ){
i = j = 1;
}
}
}
corner[ e ].x = Formal( corner[ e ].x );
corner[ e ].y = Formal( corner[ e ].y );
if ( distance( corner[ e ], wall[ e ] ) >= r && distance( corner[ e ], wall[ s ] ) >= r ) return;
corner[ e ].x += 0.0001;
if ( distance( corner[ e ], wall[ e ] ) >= r && distance( corner[ e ], wall[ s ] ) >= r ) return;
corner[ e ].x -= 0.0001;corner[ e ].y += 0.0001;
}
void InitCorner(){
INT i, j;
DEC t;
for ( i = 0; i < n; i++ ){
CorssPoint( i );
flag[ i ] = 1;
for ( j = 0; j < n; j++ ){
t = distance( corner[ i ], wall[ j ] );
if ( t < r ){
//printf("%d %d %d %lf\n", wall[ j ].a, wall[j].b,wall[j].c, wall[j].d );
flag[ i ] = 0;
break;
}
}
}
}
DEC square( DEC x ){
return x * x;
}
void FindLongest(){
INT i, j;
DEC d = 0, t;
for ( i = 0; i < n; i++ ){
if ( !flag[ i ] ) continue;
for ( j = i + 1; j < n; j++ ){
if ( !flag[ j ] ) continue;
t = square( corner[ i ].x - corner[ j ].x ) + square( corner[ i ].y - corner[ j ].y );
if ( t > d ){
circle[ 0 ] = corner[ i ];
circle[ 1 ] = corner[ j ];
d = t;
}
}
}
}
void solve(){
INT i;
PI = 2 * asin( 1 );
InitLine();
//for ( i = 0; i < n; i++ ) printf("%d %d %d %lf\n", wall[i].a,wall[i].b,wall[i].c,wall[i].d);
//for ( i = 0; i < n; i++ ) printf("%lf %lf\n", wall[ i ].dirx, wall[ i ].diry );
InitCorner();
//for ( i = 0 ; i < n ;i++ ) printf("%lf %lf\n", corner[ i ].x, corner[ i ].y );
//for ( i = 0; i < n ;i++ ) printf("%d ", flag[ i ] ); puts("");
FindLongest();
/*for ( i = 0; i < 2; i++ ){
circle[ i ].x = Formal( circle[ i ].x );
circle[ i ].y = Formal( circle[ i ].y );
}*/
printg( circle[ 0 ].x, circle[ 0 ].y, circle[ 1 ].x, circle[ 1 ].y );
}
int main(){
input();
solve();
return 0;
}
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