Cod sursa(job #3349252)

Utilizator MagicantPlusIuoras Andrei MagicantPlus Data 26 martie 2026 21:23:28
Problema Infasuratoare convexa Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 4.98 kb
#define programstate2
#include <bits/stdc++.h>

using namespace std;

#define ll long long
#define ull unsigned ll
#define vec vector
#define flist forward_list
#define um unordered_map
#define us unordered_set
#define prioq priority_queue
#define all(x) x.begin(), x.end()
#define pb push_back
#define pf push_front
#define fi first
#define se second
#define ld long double
#define cd complex<ld>
#define pll pair<ll, ll>
#define tll tuple<ll, ll, ll>
#define ass assign
#define fun function

#define LL_MAX LLONG_MAX
#define LL_MIN LLONG_MIN
#define ULL_MAX ULLONG_MAX
#define LD_MAX LDBL_MAX
#define LD_MIN LDBL_MIN

#define nl " \n"

#define vv(type, name, n, ...) vector<vector<type>> name(n, vector<type>(__VA_ARGS__))
#define vvv(type, name, n, m, ...) \
	vector<vector<vector<type>>> name(n, vector<vector<type>>(m, vector<type>(__VA_ARGS__)))

// https://trap.jp/post/1224/
#define rep1(n) for(ll i=0; i<(ll)(n); ++i)
#define rep2(i,n) for(ll i=0; i<(ll)(n); ++i)
#define rep3(i,a,b) for(ll i=(ll)(a); i<(ll)(b); ++i)
#define rep4(i,a,b,c) for(ll i=(ll)(a); i<(ll)(b); i+=(ll)(c))
#define cut4(a,b,c,d,e,...) e
#define rep(...) cut4(__VA_ARGS__,rep4,rep3,rep2,rep1)(__VA_ARGS__)
#define rep1e(n) for(ll i=1; i<=(ll)(n); ++i)
#define rep2e(i,n) for(ll i=1; i<=(ll)(n); ++i)
#define rep3e(i,a,b) for(ll i=(ll)(a); i<=(ll)(b); ++i)
#define rep4e(i,a,b,c) for(ll i=(ll)(a); i<=(ll)(b); i+=(ll)(c))
#define repe(...) cut4(__VA_ARGS__,rep4e,rep3e,rep2e,rep1e)(__VA_ARGS__)
#define per1(n) for(ll i=(ll)(n)-1; i>=0; --i)
#define per2(i,n) for(ll i=(ll)(n)-1; i>=0; --i)
#define per3(i,a,b) for(ll i=(ll)(a)-1; i>=(ll)(b); --i)
#define per4(i,a,b,c) for(ll i=(ll)(a)-1; i>=(ll)(b); i-=(ll)(c))
#define per(...) cut4(__VA_ARGS__,per4,per3,per2,per1)(__VA_ARGS__)
#define per1e(n) for(ll i=(ll)(n); i>=1; --i)
#define per2e(i,n) for(ll i=(ll)(n); i>=1; --i)
#define per3e(i,a,b) for(ll i=(ll)(a); i>=(ll)(b); --i)
#define per4e(i,a,b,c) for(ll i=(ll)(a); i>=(ll)(b); i-=(ll)(c))
#define pere(...) cut4(__VA_ARGS__,per4e,per3e,per2e,per1e)(__VA_ARGS__)
#define rep_subset(i,s) for(ll i=0;i!=-1;i=i==(s)?-1:(i|~(s))+1&(s))
#define per_subset(i,s) for(ll i=(s);i!=-1;i=i==0?-1:i-1&(s))

template<class T, class S> bool mkmin(T& a, const initializer_list<S>& b)
{S m = *min_element(all(b)); if(m<a){a=m;return 1;}return 0;}
template<class T, class S> bool mkmax(T& a, const initializer_list<S>& b)
{S m = *max_element(all(b)); if(m>a){a=m;return 1;}return 0;}
template<class T, class S> bool mkmin(T& a, const S& b){if(b<a){a=b;return 1;}return 0;}
template<class T, class S> bool mkmax(T& a, const S& b){if(b>a){a=b;return 1;}return 0;}

#ifdef programstate0
#endif

#ifdef programstate1
ifstream fin("./special/input.txt");
ofstream ferr("./special/messages.txt");
#define cerr ferr
#define cin fin
#define bug(...) cerr << "#" << __LINE__ << ' ' << #__VA_ARGS__ << "- ", _do(__VA_ARGS__)
template<typename T> void _do(vector<vector<T>> x){cerr << "\n"; for(auto i: x) {for(auto j : i) {cerr << j << ' ';} cerr << "\n";}}
template<typename T> void _do(vector<T> x){for(auto i: x) cerr << i << ' ';cerr << "\n";}
template<typename T> void _do(set<T> x){for(auto i: x) cerr << i << ' ';cerr << "\n";}
template<typename T> void _do(unordered_set<T> x){for(auto i: x) cerr << i << ' ';cerr << "\n";}
template<typename T> void _do(T && x) {cerr << x << endl;}
template<typename T, typename ...S> void _do(T && x, S&&...y) {cerr << x << ", "; _do(y...);}
#else
#define bug(...) 777771449
#endif

const ll MOD = 1e9 + 7;
const ll INF = (1ll << 59);

#ifdef programstate2
const string FILENAME = "infasuratoare";
ifstream fin(FILENAME + ".in");
ofstream fout(FILENAME + ".out");
#define cin fin
#define cout fout
#endif

ll nnt() {ll x; cin >> x; return x;}
string nst() {string x; cin >> x; return x;}
char nct() {char x; cin >> x; return x;}

ld stArea(cd a, cd b, cd c)
{
	return (a.real() * (b.imag() - c.imag()) + b.real() * (c.imag() - a.imag()) + c.real() * (a.imag() - b.imag())) / (ld)(2);
}

void convexHull(vec<cd>& p, vec<cd>& hull)
{
	ll n = p.size();
	rep(i, 1, n) if(p[i].imag() < p[0].imag() || (p[i].imag() == p[0].imag() && p[i].real() < p[0].real())) swap(p[i], p[0]);

	cd p0 = p[0];
	sort(all(p), [&](const cd& a, const cd& b)
	{
		ld area = stArea(p0, a, b);
		if(area != 0) return (area > 0);

		if(a.real() != b.real()) return abs(p0.real() - a.real()) < abs(p0.real() - b.real());
		return a.imag() < b.imag();
	});
	
	hull.clear();
	rep(n)
	{
		while(hull.size() >= 2)
		{
			cd a = hull[hull.size()-2], b = hull[hull.size()-1];
			if(stArea(a, b, p[i]) <= 0) hull.pop_back();
			else break;
		}
		
		hull.pb(p[i]);
	}
}

int main()
{
	ll n;
	cin >> n;

	vec<cd> p(n);
	rep(n)
	{
		ld a, b;
		cin >> a >> b;
		p[i] = cd(a,b);
	}
	
	vec<cd> hull;
	convexHull(p, hull);

	cout << hull.size() << nl << fixed << setprecision(6);

	rep(hull.size())
	{
		cout << hull[i].real() << ' ' << hull[i].imag() << nl;
	}

	return 0;
}