Submission #151506

#	Time	Username	Problem	Language	Result	Execution time	Memory
151506		Mahotsukai	Organizing the Best Squad (FXCUP4_squad)	C++17	100 / 100	1095 ms	78036 KiB

squad

#include<bits/stdc++.h>
#include<chrono>
using namespace std;
using namespace chrono;
#define all(a) a.begin(), a.end()
#define sz(x) (int(x.size()))
typedef long long ll;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef pair<int, int> pii;
typedef pair<ll, ll> pll;
typedef pair<int, ll> pil;
typedef pair<ll, int> pli;
typedef vector<string> vs;
template<class T1, class T2>
istream &operator>>(istream &in, pair<T1, T2> &P){
	in >> P.first >> P.second;
	return in;
}
template<class T1, class T2>
ostream &operator<<(ostream &out, const pair<T1, T2> &P){
	out << "(" << P.first << ", " << P.second << ")";
	return out;
}
template<class T>
istream &operator>>(istream &in, vector<T> &arr){
	for(auto &x: arr) in >> x;
	return in;
}
template<class T>
ostream &operator<<(ostream &out, const vector<T> &arr){
	for(auto &x: arr) out << x << ' '; cout << "\n";
	return out;
}
template<class T>
istream &operator>>(istream &in, deque<T> &arr){
	for(auto &x: arr) in >> x;
	return in;
}
template<class T>
ostream &operator<<(ostream &out, const deque<T> &arr){
	for(auto &x: arr) out << x << ' '; cout << "\n";
	return out;
}

struct point{
	ll x, y;
	int ind;
	point(pll p): x(p.first), y(p.second){}
	point(ll x = 0, ll y = 0, int ind = 0): x(x), y(y), ind(ind){}
	bool operator<(const point &other) const{
		return x < other.x || (x == other.x && y < other.y);
	}
	point operator+(const point &other) const{
		return point(x + other.x, y + other.y);
	}
	point operator+=(const point &other){
		return *this = *this + other;
	}
	point operator-(const point &other) const{
		return point(x - other.x, y - other.y);
	}
	point operator-=(const point &other){
		return *this = *this - other;
	}
	ll operator*(const point &other) const{
		return x * other.x + y * other.y;
	}
};
ostream &operator<<(ostream &out, point p){
	cout << "(" << p.x << ", " << p.y << ", " << p.ind << ")";
	return out;
}
ll ori(const point &p, const point &q, const point &r){
	return p.x * q.y + q.x * r.y + r.x * p.y - p.y * q.x - q.y * r.x - r.y * p.x;
}
struct convhull{
	int N, U, L;
	vector<point> ch, upper, lower;
	convhull(vector<point> arr = vector<point>()){
		if(arr.size() <= 1){
			ch = upper = lower = arr;
			N = U = L = arr.size();
			return;
		}
		sort(arr.begin(), arr.end());
		point p = arr.front(), q = arr.back();
		upper.push_back(p), lower.push_back(p);
		for(int i = 1; i < arr.size(); i ++){
			if(i == arr.size() - 1 || ori(p, arr[i], q) < 0){
				while(upper.size() >= 2 && ori(upper[upper.size() - 2], upper[upper.size() - 1], arr[i]) >= 0){
					upper.pop_back();
				}
				upper.push_back(arr[i]);
			}
			if(i == arr.size() - 1 || ori(p, arr[i], q) > 0){
				while(lower.size() >= 2 && ori(lower[lower.size() - 2], lower[lower.size() - 1], arr[i]) <= 0){
					lower.pop_back();
				}
				lower.push_back(arr[i]);
			}
		}
		U = upper.size(), L = lower.size();
		reverse(all(upper));
		for(int i = 0; i < L; i ++) ch.push_back(lower[i]);
		for(int i = 1; i < U - 1; i ++) ch.push_back(upper[i]);
		N = ch.size();
	}
	int max_element(ll x, ll y){
		point p(x, y);
		int l = 0, r = U;
		while(r - l > 3){
			int m1 = (2 * l + r) / 3, m2 = (l + 2 * r) / 3;
			p * upper[m1] <= p * upper[m2] ? l = m1 : r = m2;
		}
		int res = l;
		for(int i = l + 1; i < r; i ++) if(p * upper[res] < p * upper[i]) res = i;
		return (res + L - 1) % N;
	}
	int min_element(ll x, ll y){
		point p(x, y);
		int l = 0, r = L;
		while(r - l > 3){
			int m1 = (2 * l + r) / 3, m2 = (l + 2 * r) / 3;
			p * lower[m1] >= p * lower[m2] ? l = m1 : r = m2;
		}
		int res = l;
		for(int i = l + 1; i < r; i ++) if(p * lower[res] > p * lower[i]) res = i;
		return res;
	}
};
int n;
vector<vector<convhull>> c(2, vector<convhull>(2));
void Init(vi a, vi d, vi p){
	n = a.size();
	vector<vector<point>> data(2, vector<point>(n));
	for(int i = 0; i < n; i ++) data[0][i] = point(a[i], p[i], i), data[1][i] = point(d[i], p[i], i);
	for(int i = 0; i < 2; i ++){
		c[i][0] = convhull(data[i]);
		vi used(n);
		for(auto &p: c[i][0].ch) used[p.ind] = true;
		vector<point> temp;
		for(int j = 0; j < n; j ++) if(!used[j]) temp.push_back(data[i][j]);
		c[i][1] = convhull(temp);
	}
}
ll BestSquad(int x, int y){
	vector<vector<point>> p(2, vector<point>(2));
	point t(x, y);
	for(int i = 0; i < 2; i ++){
		int u = c[i][0].max_element(x, y), pu = (u + c[i][0].N - 1) % c[i][0].N, nu = (u + 1) % c[i][0].N;
		p[i][0] = c[i][0].ch[u];
		p[i][1] = t * c[i][0].ch[pu] <= t * c[i][0].ch[nu] ? c[i][0].ch[nu] : c[i][0].ch[pu];
		if(c[i][1].N){
			auto temp = c[i][1].ch[c[i][1].max_element(x, y)];
			if(t * p[i][1] < t * temp) p[i][1] = temp;
		}
	}
	if(p[0][0].ind == p[1][0].ind){
		return max((p[0][0] + p[1][1]) * t, (p[0][1] + p[1][0]) * t);
	}
	else{
		return (p[0][0] + p[1][0]) * t;
	}
}
/*
6 
2 1 1 
2 1 2 
2 1 3 
2 1 4 
2 1 5
2 1 6
100 

4 
3 1 4 
2 3 3 
2 1 6 
4 4 1 
2 
1 3 
3 1 
*/

//////////////////////////////////////////////////////////////////////////////////////////////////////
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//           +++`+``+`+`++++        ///`````````````````````````````\\\                             //
//           ++`+`+``+++`++++  /////```````````````````````````````````\\                           //
//           +++`++`+`+``+++/////`````````````````````````````````````````\\                        //
//             +++`++`+``+///```````````|```````````````````````````````````\\                      //
//          ____++++/++++/`````````````/````````|````````|```````````````````\\                     //
//        /  /  / |    //``````````````|````````|```````|````````|````````````\\                    //
//       /  /  /  | ///````````/```````|```````||```````|````````|``````\```````\\                  //
//       | /  /   |///`````````|``````/````````|````````|````````|```````|```````\\                 //
//       |/   |   |//``|```````|``````|````````|`````````|```````|```````|````````\\                //
//       /\___|__//`|``|```````|`    |      ``:|````````|:```````|```````|```|`````|                //
//      /     /  /``|``|``````|/     |        :|     ```:|```````|```````|``++````++                //
//     /     / //```|``|``````|      |        |:        :|    ```|```````|```++``++`\               //
//     |    /  /````|``|``````/    _.::::.    |          |      |    ````|```|`++`\`|               //
//     |   /   |````|``|`````|            `                    |       ``|```++``++`|               //
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//     | /     /````|``|`````|                              _.-:::.      |..`|``.`|.|               //
//     |/     /`````|``|`````|                                     `     |```|````|`|               //
//    /|      |`````|``|`````|                    :'                    .|```|````|.|               //
//   / |      |`````|``|`````|                                         /|-|``|````|`|               //
//  /  |      |`````|```\````|                                        / ||```|````|``\              //
// /   |      |`````|````|```|::                                    /_| ||```|````|``|              //
//            |`````|````|```|:|:.        `.._                    .\___/:|```|````|``|              //
//            |`````\````|```|:|::-          ``:::....           -:|:|:::|```|````|``|              //
//            |``````|```|```|:|::`|.                          .:::|:|:::|```|````|``|              //
//             \`````|```|```|:|::/|--.                     .`:|:::|:|:::/```|````|``|              //
//              |````|```|```\:|:|:|-----             _..-:|:|:|:::|:|::|````|````|`/               //
//              |````|```|````\|:|:|-------.____.....------|/::|:::|:|::|````|````|`|               //
//              |````|```|\````\:|/\___________    ________/\--\:::|:|::|````/````|`|               //
//              |````\```| \```|:/-------------\  /----------\``\::|:|::|```/`````|`|               //
//              |`````|``|  \``|/---------------\/------------\_________|```|`````|`|               //
//                                                                                                  //
//////////////////////////////////////////////////////////////////////////////////////////////////////
//                                                                                                  //
//                                        Created by Aeren                                          //
//                                                                                                  //
//////////////////////////////////////////////////////////////////////////////////////////////////////

Compilation message (stderr)

squad.cpp: In function 'std::ostream& operator<<(std::ostream&, const std::vector<_Tp>&)':
squad.cpp:32:2: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
  for(auto &x: arr) out << x << ' '; cout << "\n";
  ^~~
squad.cpp:32:37: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  for(auto &x: arr) out << x << ' '; cout << "\n";
                                     ^~~~
squad.cpp: In function 'std::ostream& operator<<(std::ostream&, const std::deque<_Tp>&)':
squad.cpp:42:2: warning: this 'for' clause does not guard... [-Wmisleading-indentation]
  for(auto &x: arr) out << x << ' '; cout << "\n";
  ^~~
squad.cpp:42:37: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'for'
  for(auto &x: arr) out << x << ' '; cout << "\n";
                                     ^~~~
squad.cpp: In constructor 'convhull::convhull(std::vector<point>)':
squad.cpp:89:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for(int i = 1; i < arr.size(); i ++){
                  ~~^~~~~~~~~~~~
squad.cpp:90:9: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    if(i == arr.size() - 1 || ori(p, arr[i], q) < 0){
       ~~^~~~~~~~~~~~~~~~~
squad.cpp:96:9: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    if(i == arr.size() - 1 || ori(p, arr[i], q) > 0){
       ~~^~~~~~~~~~~~~~~~~

• Subtask 1: 19 / 19
• Subtask 2: 28 / 28
• Subtask 3: 53 / 53