geometry_3d.cpp

#include <cstdio>
#include <iostream>
#include <vector>
#include <set>
#include <stack>
#include <queue>
#include <map>
#include <math.h>
#include <cmath>
#include <string>
#include <iomanip>
#include <cstring>
#include <sstream>
#include <algorithm>
#include <unordered_map>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace __gnu_pbds;
using namespace std;

#define inf 1013161010
#define ninf -1013161010
#define mod 1000000007
#define ll long long
#define lf long double
#define in(x) scanf("%d",&x);
#define sz(x) ((int)x.size())
#define lld l64d
#define rep(i,n) for(i=0;i<n;i++)
#define rrep(i,n) for(i=n-1;i>=0;i--)
#define rep1(i,a,b) for(i=a;i<=b;i++)
#define rrep1(i,a,b) for(i=a;i>=b;i--)
#define stlfor(i,t) for(auto i =t.begin();i!=t.end();i++)
#define fr freopen("x.txt","r",stdin)
#define frc freopen("y.txt","w",stdout)
#define all(x) x.begin(),x.end()
#define set0(x) memset(x,0,sizeof(x))
#define dbg cout<<"yo "<<endl;
#define pset(n) fixed<<showpoint<<setprecision(n)

#define pii pair<int,int>
#define pll pair<ll,ll>
#define vpii vector<pair<int,int> >
#define vpll vector<pair<ll,ll> >
#define si set<int>
#define mii map<int,int>
#define umii unordered_map<int,int>
#define vi vector<int>
#define pb push_back
#define ff first
#define ss second
#define mp make_pair

typedef tree<pii,null_type,less<pii>,rb_tree_tag,tree_order_statistics_node_update> OST;

ll toint(const string &s) { stringstream ss; ss << s; ll x; ss >> x; return x; }
string tostring ( ll number ){  stringstream ss; ss<< number; return ss.str();}

const lf pi = 2*acos(0);
const int nn = 2000006;

ll gcd(ll a,ll b){return (b==0)? a:gcd(b,a%b); }
void nope(int num = 0){ if(num==0) cout<<"NO"; else cout<<"-1"; exit(0); }


struct point
{
    lf x, y, z;
    point(){x=0, y=0, z=0;}
    point(lf _x, lf _y, lf _z){ x = _x , y = _y, z =_z; }
};

lf edist(point a,point b)
{
    return sqrt((b.x-a.x)*(b.x-a.x) + (b.y-a.y)*(b.y-a.y) + (b.z-a.z)*(b.z-a.z));
}


struct vec
{
    lf x, y, z;
    vec(){x=0, y=0, z=0;}
    vec(lf _x, lf _y, lf _z) {x = _x, y = _y, z = _z;}
};

vec tovec(point a,point b)
{
    return vec(b.x - a.x, b.y - a.y, b.z - a.z);
}

lf norm_sq(vec a)
{
    return a.x*a.x+a.y*a.y+a.z*a.z;
}

lf dot(vec a,vec b)
{
    return (a.x*b.x+a.y*b.y+a.z*b.z);
}

vec scale(vec v, lf s)
{
    return vec(v.x*s, v.y*s, v.z*s);
}

point translate(point p, vec v)
{
    return point(p.x + v.x, p.y + v.y, p.z + v.z);
}

vec cross_vec(vec a, vec b)
{
    return vec(a.y*b.z - a.z*b.y, a.z*b.x - a.x*b.z, a.x*b.y - a.y*b.x);
}

int main()
{
    ios_base::sync_with_stdio(false); cin.tie(0);
    ll i,j,n,tt;
    tt=1;
    //cin>>tt;
    while(tt--)
    {



    }
    return 0;
}