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Submission #151032

# Submission time Handle Problem Language Result Execution time Memory
151032 2019-09-01T15:17:09 Z bogdan10bos Organizing the Best Squad (FXCUP4_squad) C++17
47 / 100
 3000 ms 54592 KB 
#include "squad.h"
#include <bits/stdc++.h>

typedef long double LD;

using namespace std;

const LD eps = 1e-6;
const int LVL = 45;
const int OPS = 80;

class LiChao
{
public:
	int ops;
	struct Line
	{
		LD a = 0, b = 0;
		int id = 0;

		Line() { ; }
		Line(LD _a, LD _b, int _id) { a = _a, b = _b, id = _id; }

		LD operator()(LD x)
		{
			return a * x + b;
		}

		const bool operator== (const Line &l) const
		{
			return (id == l.id);
		}
	};

	struct Node
	{
		Line unu, doi;
		Node *l, *r;

		Node(Line a, Line b, Node *_l, Node *_r)
		{
			unu = a, doi = b, l = _l, r = _r;
		}
	};

	Line df;
	Node *root;

	LiChao()
	{
		df = Line(0, 0, -1);
		root = new Node(df, df, 0, 0);
		ops = 0;
	}

	void insert(Node *&nod, LD st, LD dr, Line l, int lvl)
	{
		if(l == df)	return;
		if(nod == 0)
		{
			nod = new Node(l, df, 0, 0);
			return;
		}

		ops++;
		LD mij = (st + dr) / 2.0;
		if(nod->unu(mij) < l(mij))
		{
			swap(nod->unu, l);
			swap(nod->doi, l);
		}
		else if(nod->doi(mij) < l(mij))
			swap(nod->doi, l);

		if(l == df)	return;
		if(ops > OPS)	return;

		if(l(st) > max(nod->unu(st), nod->doi(st)))
			insert(nod->l, st, mij, l, lvl + 1);
		if(l(dr) > max(nod->unu(dr), nod->doi(dr)))
			insert(nod->r, mij, dr, l, lvl + 1);
	}

	void insert(LD a, LD b, int id)
	{
		ops = 0;
		insert(root, 0, 1e9, Line(a, b, id), 0);
	}

	pair<Line, Line> query(Node *nod, LD st, LD dr, LD x)
	{
		if(nod == 0)	return {df, df};

		Line unu = nod->unu, doi = nod->doi;
		if(unu(x) < doi(x))	swap(unu, doi);
		pair<Line, Line> nxt = {df, df};

		LD mij = st + (dr - st) / 2;
		if(x < mij)	nxt = query(nod->l, st, mij, x);
		else	nxt = query(nod->r, mij, dr, x);

		if(nxt.first(x) > unu(x))
		{
			swap(doi, nxt.first);
			swap(unu, doi);
		}
		else if(nxt.first(x) > doi(x))
			swap(doi, nxt.first);

		if(nxt.second(x) > unu(x))
		{
			swap(doi, nxt.second);
			swap(unu, doi);
		}
		else if(nxt.second(x) > doi(x))
			swap(doi, nxt.second);

		return {unu, doi};
	}

	pair<Line, Line> query(LD x)
	{
		return query(root, 0, 1e9, x);
	}
};
LiChao att, def;

vector<int> AA, DD, PP;
void Init(vector<int> A, vector<int> D, vector<int> P)
{
	AA = A, DD = D, PP = P;
	int N = A.size();
	for(int i = 0; i < N; i++)
	{
		att.insert(A[i], P[i], i);
		def.insert(D[i], P[i], i);
	}
}

long long calc(int a, int d, int X, int Y)
{
	if(a == d)	return -1;
	long long ans = 1LL * X * (AA[a] + DD[d]) + 1LL * Y * (PP[a] + PP[d]);
	return ans;
}

long long BestSquad(int X, int Y)
{
	LD frac = LD(X) / LD(Y);
	auto at = att.query(frac);
	auto df = def.query(frac);

	vector<int> ids;
	ids.push_back(at.first.id);
	ids.push_back(at.second.id);
	ids.push_back(df.first.id);
	ids.push_back(df.second.id);

	long long ans = -1;
	ans = max(ans, calc(ids[0], ids[2], X, Y));
	ans = max(ans, calc(ids[1], ids[2], X, Y));
	ans = max(ans, calc(ids[0], ids[3], X, Y));
	return ans;
}

Subtask #1
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 3 ms 376 KB Output is correct
3 Correct 195 ms 10932 KB Output is correct
4 Correct 186 ms 10932 KB Output is correct
5 Correct 84 ms 3804 KB Output is correct
6 Correct 1553 ms 53644 KB Output is correct
7 Correct 1553 ms 53732 KB Output is correct
8 Correct 1568 ms 53756 KB Output is correct

Subtask #2
28.0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 7 ms 376 KB Output is correct
3 Correct 658 ms 13300 KB Output is correct
4 Correct 596 ms 13248 KB Output is correct
5 Correct 65 ms 1784 KB Output is correct
6 Correct 2045 ms 34568 KB Output is correct
7 Correct 2019 ms 34784 KB Output is correct
8 Correct 2037 ms 34744 KB Output is correct

Subtask #3
0 / 53.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 256 KB Output is correct
2 Correct 3 ms 376 KB Output is correct
3 Correct 195 ms 10932 KB Output is correct
4 Correct 186 ms 10932 KB Output is correct
5 Correct 84 ms 3804 KB Output is correct
6 Correct 1553 ms 53644 KB Output is correct
7 Correct 1553 ms 53732 KB Output is correct
8 Correct 1568 ms 53756 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 7 ms 376 KB Output is correct
11 Correct 658 ms 13300 KB Output is correct
12 Correct 596 ms 13248 KB Output is correct
13 Correct 65 ms 1784 KB Output is correct
14 Correct 2045 ms 34568 KB Output is correct
15 Correct 2019 ms 34784 KB Output is correct
16 Correct 2037 ms 34744 KB Output is correct
17 Correct 117 ms 2960 KB Output is correct
18 Correct 10 ms 476 KB Output is correct
19 Correct 855 ms 13312 KB Output is correct
20 Correct 830 ms 13276 KB Output is correct
21 Correct 142 ms 2924 KB Output is correct
22 Execution timed out 3027 ms 54592 KB Time limit exceeded
23 Halted 0 ms 0 KB -