// what is matter? never mind. 
#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
//#pragma GCC target("sse,sse2,sse3,sse4,popcnt,abm,mmx,avx,avx2")
#include<bits/stdc++.h>
#define For(i,a,b) for(int i=(a);i<=(b);++i)
#define Rep(i,a,b) for(int i=(a);i>=(b);--i)
#define ll long long
//#define ull unsigned long long
//#define int long long
#define SZ(x) ((int)((x).size()))
#define ALL(x) (x).begin(),(x).end()
using namespace std;
inline int read()
{
	char c=getchar();int x=0;bool f=0;
	for(;!isdigit(c);c=getchar())f^=!(c^45);
	for(;isdigit(c);c=getchar())x=(x<<1)+(x<<3)+(c^48);
	return f?-x:x;
}

#define fi first
#define se second
#define pb push_back
#define mkp make_pair
typedef pair<int,int>pii;
typedef vector<int>vi;

typedef double db;
const db eps=1e-10,pi=3.14159265358979323846;
int sgn(db x){return x<-eps?-1:x>eps;}
int cmp(db a,db b){return sgn(a-b);}

struct P{
	db x,y;
	P(db x=0,db y=0):x(x),y(y){}
	P&operator +=(P o){return x+=o.x,y+=o.y,*this;}
	P&operator -=(P o){return x-=o.x,y-=o.y,*this;}
	P&operator *=(db o){return x*=o,y*=o,*this;}
	P&operator /=(db o){return x/=o,y/=o,*this;}
	friend P operator +(P a,P b){return a+=b;}
	friend P operator -(P a,P b){return a-=b;}
	friend P operator *(P a,db b){return a*=b;}
	friend P operator /(P a,db b){return a/=b;}
	friend bool operator <(P a,P b){return fabs(a.x-b.x)<eps?a.y<b.y:a.x<b.x;}
	friend bool operator ==(P a,P b){return cmp(a.x,b.x)==0 && cmp(a.y,b.y)==0;}
	friend bool operator !=(P a,P b){return !(a==b);}
	friend db operator %(P a,P b){return a.x*b.x+a.y*b.y;} // dot
	friend db operator *(P a,P b){return a.x*b.y-a.y*b.x;} // cross
	
	P rot(db o){
		db s=sin(o),c=cos(o);
		return P(x*c-y*s,x*s+y*c);
	}
	P rot90(){return P(-y,x);}
	db ang(){return atan2(y,x);}
	db len(){return sqrt(x*x+y*y);}
	db len2(){return x*x+y*y;}
	
	int half(){return sgn(y)==1||(sgn(y)==0&&sgn(x)>=0);}
	P unit(){return ((*this))/len();}
	
	void read(){cin>>x>>y;}
	void out(){cout<<"("<<x<<","<<y<<")"<<endl;}
};
bool cmp_dir(P a,P b){
	if(a.half()!=b.half())return a.half()<b.half();
	return sgn(a*b)>0;
}

db dis(P a,P b){return (a-b).len();}
db cross(P a,P b,P c){
	// (a->b)*(a->c)
	return (b.x-a.x)*(c.y-a.y)-(b.y-a.y)*(c.x-a.x);
}
int cmp3(P a,P b,P c){
	return sgn(cross(a,b,c));
}

bool in_tri(P a,P b,P c,P p){
	if(cmp3(a,b,c)<0) swap(b,c);
	return cmp3(a,b,p)>=0 && cmp3(b,c,p)>=0 && cmp3(c,a,p)>=0;
}
db area_tri(P a,P b,P c){
	return fabs(cross(a,b,c))/2;
}

bool paral(P p1,P p2,P q1,P q2){
	// is parallel
	return sgn((p2-p1)*(q2-q1))==0;
}
P interl(P p1,P p2,P q1,P q2){
	// intersect point
	db s1=cross(q1,q2,p1),s2=-cross(q1,q2,p2);
	return (p1*s2+p2*s1)/(s1+s2);
}

bool inter(db l1,db r1,db l2,db r2){
	if(l1>r1)swap(l1,r1); if(l2>r2)swap(l2,r2);
	return !(cmp(r1,l2)==-1||cmp(r2,l1)==-1);
}
bool ismid(db a,db m,db b){
	return sgn(a-m)==0||sgn(b-m)==0||((a<m)!=(b<m));
}
bool ismid(P a,P m,P b){
	return ismid(a.x,m.x,b.x)&&ismid(a.y,m.y,b.y);
}

bool isseg(P p1,P p2,P q1,P q2){
	return inter(p1.x,p2.x,q1.x,q2.x) && inter(p1.y,p2.y,q1.y,q2.y) &&
	cmp3(p1,p2,q1)*cmp3(p1,p2,q2)<=0 && cmp3(q1,q2,p1)*cmp3(q1,q2,p2)<=0;
}
bool isseg_strict(P p1,P p2,P q1,P q2){
	return cmp3(p1,p2,q1)*cmp3(p1,p2,q2)<0 && cmp3(q1,q2,p1)*cmp3(q1,q2,p2)<0;
}

struct L{
	P a,b;
	L(P aa=P(0,0),P bb=P(0,0)){a=aa,b=bb;}
	bool in(P p){return sgn((b-a)*(p-a))>0;}
	int in_sgn(P p){return sgn((b-a)*(p-a));}
	P dir(){return b-a;}
	bool onl(P p){
		return cmp3(a,b,p)==0;
	}
	bool onseg(P p){
		return onl(p)&&ismid(a,p,b);
	}
	bool onseg_strict(P p){
		return onl(p)&&sgn((p-a)%(a-b))*sgn((p-b)%(a-b))<0;
	}
	void out(){cout<<"("<<a.x<<","<<a.y<<")---("<<b.x<<","<<b.y<<")\n";}
};

bool isseg(L a,L b){
	return isseg(a.a,a.b,b.a,b.b);
}
bool paral(L a,L b){
	// is parallel
	return paral(a.a,a.b,b.a,b.b);
}
P operator &(L a,L b){
	return interl(a.a,a.b,b.a,b.b);
}
bool samedir(L a,L b){
	return paral(a,b) && sgn(a.dir()%b.dir())==1;
}
bool operator <(L a,L b){
	if(samedir(a,b)) return b.in(a.a);
	return cmp_dir(a.dir(),b.dir());
}

P proj(L a,P b){
	P d=a.dir();
	return a.a+d*((d%(b-a.a))/d.len2());
}
P reflect(L a,P b){
	return proj(a,b)*2-b;
}
db dis(L a,P b){
	db s=abs((b-a.a)*(b-a.b));
	return s/dis(a.a,a.b);
}
db dis_seg(L a,P b){
	if(a.a==a.b) return	dis(a.a,b);
	P h=proj(a,b);
	if(ismid(a.a,h,a.b)) return dis(h,b);
	return min(dis(a.a,b),dis(a.b,b));
}
db dis_ss(L a,L b){
	if(isseg(a,b)) return 0;
	return min(min(dis_seg(a,b.a),dis_seg(a,b.b)),min(dis_seg(b,a.a),dis_seg(b,a.b)));
}

db rad(P a,P b){
	return atan2l(a*b,a%b);
}

// polygon
db area(vector<P>a){
	db res=0;
	For(i,0,(int)a.size()-1)res+=a[i]*a[(i+1)%a.size()];
	return res/2;
}
int contain(vector<P>a,P p){
	int n=a.size(),res=0;
	For(i,0,n-1){
		P u=a[i],v=a[(i+1)%n];
		if(L(u,v).onseg(p))return 1;
		if(cmp(u.y,v.y)<=0)swap(u,v);
		if(cmp(p.y,u.y)>0 || cmp(p.y,v.y)<=0)continue;
		res^=cmp3(p,u,v)>0;
	}
	return res*2;
}
vector<P>cut(vector<P>&a,P q1,P q2){
	vector<P>b; int n=a.size();
	For(i,0,n-1){
		P p1=a[i],p2=a[(i+1)%n];
		int d1=cmp3(q1,q2,p1),d2=cmp3(q1,q2,p2);
		if(d1>=0)b.pb(p1);
		if(d1*d2<0)b.pb(interl(p1,p2,q1,q2));
	}
	return b;
}
vector<P>cut(vector<P>&a,L l){
	return cut(a,l.a,l.b);
}

vector<P>convex(vector<P>a){
	int n=a.size(),m=0; if(n<=1)return a;
	sort(a.begin(),a.end());
	vector<P>st(n*2); int tp=0;
	For(i,0,n-1){
		while(tp>1 && cmp3(st[tp-2],st[tp-1],a[i])<=0)--tp;
		st[tp++]=a[i];
	}
	int t=tp;
	Rep(i,n-2,0){
		while(tp>t && cmp3(st[tp-2],st[tp-1],a[i])<=0)--tp;
		st[tp++]=a[i];
	}
	st.resize(tp-1);
	return st;
}
// <=0 to <0: non-strict (need to unique points)

bool check(L a,L b,L c){
	return c.in(a&b);
}
int checksgn(L a,L b,L c){
	return c.in_sgn(a&b);
}
vector<P>hpis(vector<L>&l){
	sort(l.begin(),l.end());
	deque<L>q;
	For(i,0,(int)l.size()-1){
		if(i&&samedir(l[i],l[i-1]))continue;
		while(q.size()>1 && !check(q[q.size()-2],q[q.size()-1],l[i]))q.pop_back();
		while(q.size()>1 && !check(q[1],q[0],l[i]))q.pop_front();
		q.pb(l[i]);
	}
	while(q.size()>2 && !check(q[q.size()-2],q[q.size()-1],q[0]))q.pop_back();
	while(q.size()>2 && !check(q[1],q[0],q[q.size()-1]))q.pop_front();
	vector<P>res;
	For(i,0,(int)q.size()-1) res.pb(q[i]&q[(i+1)%q.size()]);
	return res;
}

#define maxn 200005
#define inf 0x3f3f3f3f

int n;
vector<P>a;

vector<L>ls;
db res[63];

db interp(P p1,P p2,P q1,P q2){
	// intersect point
	db s1=cross(q1,q2,p1),s2=-cross(q1,q2,p2);
	db ss=s1+s2; s1/=ss; s2/=ss;
	return s1;
//	return (p1*s2+p2*s1)/(s1+s2);
}
int dl[63],vis[63];
void calc(int u,vector<P> b){
	if(u==0) return;
//	cout<<"calc "<<u<<"\n";
	if(area(b)<0) reverse(b.begin(),b.end());
//	cout<<"b: \n"; for(auto p:b)p.out(); cout<<"------------\n";
	auto chk=[&](P p1,P p2){
		db l=-1e100,r=1e100;
	//	cout<<"p: \n";p1.out(),p2.out();
		For(i,0,n-1) {
			if(!paral(p1,p2,a[i],a[(i+1)%n]) && sgn((p2-p1)*(a[(i+1)%n]-a[i]))<0){
				db ps=interp(p1,p2,a[i],a[(i+1)%n]);
				l=max(l,ps);
			}
			if(!paral(p1,p2,b[i],b[(i+1)%n]) && sgn((p2-p1)*(b[(i+1)%n]-b[i]))>0){
				db ps=interp(p1,p2,b[i],b[(i+1)%n]);
				r=min(r,ps);
			}
		}
		if(l>r) return;
		P q1=p1*(1-l)+p2*l,q2=p1*(1-r)+p2*r;
	//	cout<<"chk:\n"; q1.out(),q2.out();
		for(auto l:ls)
			if(!isseg(l,L(q1,q2))) return ;
		res[u]=max(res[u],dis(q1,q2));
	};
	vector<P>t=a;
	for(auto ps:b) t.pb(ps);
	for(auto [x,y]:ls) t.pb(x),t.pb(y);
	For(i,0,SZ(t)-1) For(j,0,SZ(t)-1) if(t[i]!=t[j]) chk(t[i],t[j]);
}

void dfs(int u,vector<P>b){
	//cout<<"dfs "<<u<<"\n";
	calc(u,b);
	if(u==n)return;
	For(i,0,n-1) if(!vis[i]) {
		L l=L(b[i],b[(i+1)%n]);
		vector<P>c=b;
		For(j,0,n-1) c[j]=reflect(l,c[j]);
		dl[u]=i;
		vis[i]=1;
		ls.pb(l);
		dfs(u+1,c);
		ls.pop_back();
		vis[i]=0;
	}
}

signed main()
{
	n=read();
	a.resize(n);
	For(i,0,n-1)a[i].x=read(),a[i].y=read();
	dfs(0,a);
	For(i,1,n)res[i]=max(res[i],res[i-1]);
	For(i,0,n-1) For(j,0,n-1) res[0]=max(res[0],dis(a[i],a[j]));
	For(i,0,n)printf("%.12lf\n",res[i]);
	return 0;
}
/*
*/