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Submission #151030

# Submission time Handle Problem Language Result Execution time Memory
151030 2019-09-01T15:16:25 Z bogdan10bos Organizing the Best Squad (FXCUP4_squad) C++17
47 / 100
 3000 ms 54236 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 = 100;

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 10872 KB Output is correct
4 Correct 189 ms 10972 KB Output is correct
5 Correct 83 ms 3832 KB Output is correct
6 Correct 1564 ms 53672 KB Output is correct
7 Correct 1544 ms 53832 KB Output is correct
8 Correct 1527 ms 53616 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 716 ms 13340 KB Output is correct
4 Correct 595 ms 13368 KB Output is correct
5 Correct 66 ms 1784 KB Output is correct
6 Correct 2095 ms 34632 KB Output is correct
7 Correct 2021 ms 34708 KB Output is correct
8 Correct 2043 ms 34680 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 10872 KB Output is correct
4 Correct 189 ms 10972 KB Output is correct
5 Correct 83 ms 3832 KB Output is correct
6 Correct 1564 ms 53672 KB Output is correct
7 Correct 1544 ms 53832 KB Output is correct
8 Correct 1527 ms 53616 KB Output is correct
9 Correct 2 ms 376 KB Output is correct
10 Correct 7 ms 376 KB Output is correct
11 Correct 716 ms 13340 KB Output is correct
12 Correct 595 ms 13368 KB Output is correct
13 Correct 66 ms 1784 KB Output is correct
14 Correct 2095 ms 34632 KB Output is correct
15 Correct 2021 ms 34708 KB Output is correct
16 Correct 2043 ms 34680 KB Output is correct
17 Correct 116 ms 2780 KB Output is correct
18 Correct 10 ms 504 KB Output is correct
19 Correct 857 ms 13360 KB Output is correct
20 Correct 837 ms 13440 KB Output is correct
21 Correct 140 ms 3068 KB Output is correct
22 Execution timed out 3012 ms 54236 KB Time limit exceeded
23 Halted 0 ms 0 KB -