Cod sursa(job #2874954)

Utilizator VanillaSoltan Marian Vanilla Data 20 martie 2022 15:52:17
Problema Infasuratoare convexa Scor 100
Compilator cpp-64 Status done
Runda Arhiva educationala Marime 2.89 kb
#include <bits/stdc++.h>
#include <fstream>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace std;
template<class T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
struct custom_hash {static uint64_t splitmix64(uint64_t x) {x += 0x9e3779b97f4a7c15;x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;x = (x ^ (x >> 27)) * 0x94d049bb133111eb;return x ^ (x >> 31);}size_t operator()(uint64_t x) const {static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();return splitmix64(x + FIXED_RANDOM);}};
string __fname = "infasuratoare"; ifstream in (__fname + ".in"); ofstream out (__fname + ".out"); 
#define cin in 
#define cout out
#define int64 long long
#define uint64 unsigned long long
#define x first
#define y second
#define pb push_back
#define pii pair <int, int> 
#define piid pair <double, double>
#define pii64 pair <int64, int64>
#define db(x) cout << "> " << #x << ": " << (x) << "\n"
#define qr queries()
#define yn(x) if (x) {ctn("Yes");}else {ctn("No");}
void solve(int);
void queries(){int n;cin >> n;for (int i = 1; i <= n; i++) solve(i);}
template<class T>T ceildiv(T a, T b) {return a / b + !!(a % b);}
template<class T>T gcd (T a, T b){return (b ? gcd(b, a % b): a);}
template<class T>T lcm (T a, T b){return a * b / gcd(a, b);}
// // // // // // // // // // // // // // // // // // // // // // 
/*                  TEMPLATE - VANILLA                         */
// // // // // // // // // // // // // // // // // // // // // //
const int ddx[] = {-1, -1, 0, 1, 1, 1, 0, -1};
const int ddy[] = {0, 1, 1, 1, 0, -1, -1, -1};
const int dx[] = {-1, 0, 1, 0};
const int dy[] = {0, 1, 0, -1};
const int64 hash_inv = 940594066;
const double pi = 3.14159265359;
const int64 hash_p = 101;
const int64 mod = 1000000007;
const int maxn = 120002;
piid a[maxn];
int head;

void solve(int id){
    
    return;
}

double cross (piid o, piid b, piid c) {
    b.x-=o.x;
    b.y-=o.y;
    c.x-=o.x;
    c.y-=o.y;
    return (b.x * c.y) - (b.y * c.x);
}

bool comp (piid p1, piid p2) {
    return cross(a[0], p1, p2) > 0;
}


int main(){
    ios_base::sync_with_stdio(0); cin.tie(0); cout << fixed; cout << setprecision(10); 
    int n;
    cin >> n;
    for (int i = 0; i < n; i++){
        cin >> a[i].x >> a[i].y;
    }
    a[n] = {1e9, 1e9};
    head = n;
    for (int i = 0; i < n; i++){
        if (a[i].y < a[head].y || (a[i].y == a[head].y && a[i].x < a[head].x)) {
            head = i;
        }
    }
    swap(a[0], a[head]);
    sort(a + 1, a + n, comp);
    vector <int> st = {0, 1};
    for (int i = 2; i < n; i++){
        while (st.size() >= 2 && cross(a[st[st.size() - 2]], a[st[st.size() - 1]], a[i]) < 0) {
            st.pop_back();
        }
        st.pb(i);
    }
    cout << st.size() << "\n";
    for (auto i: st){
        cout << a[i].x << " " << a[i].y << "\n";
    }
    return 0;
}