oj.uz

Submission #206987

# Submission time Handle Problem Language Result Execution time Memory
206987 2020-03-06T03:33:49 Z E869120 Meetings (JOI19_meetings) C++14
100 / 100
 1259 ms 3964 KB 
#include "meetings.h"
#include <vector>
#include <map>
#include <ctime>
#include <iostream>
#include <algorithm>
using namespace std;

// 同じコードを提出して，https://oj.uz/submission/206974 では 100 点取れているんですけど，
// ひどい仕打ちをやめてくれ！
// おい，なめてんのか，grader の Query 関数は LCA で O(log N) で実装できるのに，なんで実装サボってんだ！！！！！！

vector<int> G[2009];
vector<int> I, J1, J2;
int ret1, ret2, ret3, ret4, allret;
bool passed[2009];
bool forced[2009];
map<pair<int, int>, int> Map[2009];

int Ask(int u, int v, int w) {
	int x[3] = { u, v, w };
	sort(x, x + 3);
	if (Map[x[0]][make_pair(x[1], x[2])] >= 1) return Map[x[0]][make_pair(x[1], x[2])] - 1;
	int Z = Query(x[0], x[1], x[2]);
	Map[x[0]][make_pair(x[1], x[2])] = Z + 1;
	return Z;
}

void dfs(int pos) {
	passed[pos] = true; int cnts = 0;
	for (int i = 0; i < G[pos].size(); i++) {
		if (passed[G[pos][i]] == true) continue;
		dfs(G[pos][i]); cnts++;
	}
	if (cnts == 0) I.push_back(pos);
}

void dfs2(int pos, int to) {
	if (pos == to) { J2 = J1; return; }
	passed[pos] = true;
	for (int i = 0; i < G[pos].size(); i++) {
		if (passed[G[pos][i]] == true) continue;
		J1.push_back(G[pos][i]);
		dfs2(G[pos][i], to);
		J1.pop_back();
	}
}

vector<int> getpath(int u, int v) {
	J1.clear(); J2.clear();
	J1.push_back(u);
	dfs2(u, v);
	return J2;
}

int getlca(int root, vector<pair<int, int>> E) {
	vector<int> cand; I.clear();
	for (int i = 0; i < E.size(); i++) cand.push_back(E[i].first);
	for (int i = 0; i < E.size(); i++) cand.push_back(E[i].second);
	for (int i : cand) G[i].clear();
	for (int i : cand) passed[i] = false;
	for (int i : cand) forced[i] = false;

	for (int i = 0; i < E.size(); i++) {
		G[E[i].first].push_back(E[i].second);
		G[E[i].second].push_back(E[i].first);
	}
	dfs(E[0].first);
	if (G[E[0].first].size() == 1) I.push_back(E[0].first);

	int mi = I.size() / 2;
	for (int i = mi; i < I.size(); i++) {
		int R = Ask(root, I[i - mi], I[i]); ret3++;
		for (int j : cand) passed[j] = false;
		vector<int> C1 = getpath(I[i - mi], R);
		for (int j = 0; j < C1.size() - 1; j++) forced[C1[j]] = true;
		for (int j : cand) passed[j] = false;
		vector<int> C2 = getpath(I[i], R);
		for (int j = 0; j < C2.size() - 1; j++) forced[C2[j]] = true;
	}

	for (int i : cand) {
		if (forced[i] == false) return i;
	}
	return -1;
}

vector<pair<int, int>> dfs(vector<int> A) {
	if (A.size() == 1) {
		return vector<pair<int, int>>{};
	}
	if (A.size() == 2) {
		return vector<pair<int, int>>{make_pair(A[0], A[1])};
	}
	if (A.size() == 3) {
		ret4++;
		int R = Ask(A[0], A[1], A[2]);
		vector<pair<int, int>> E;
		for (int i : A) { if (i != R) E.push_back(make_pair(i, R)); }
		return E;
	}
	if (A.size() <= 7) {
		vector<int> G1[24], G2[24];
		for (int i = 1; i < A.size(); i++) {
			for (int j = i + 1; j < A.size(); j++) {
				int V = Ask(A[0], A[i], A[j]); ret4++;
				if (V == A[i]) { G1[i].push_back(j); G2[j].push_back(i); }
				if (V == A[j]) { G1[j].push_back(i); G2[i].push_back(j); }
			}
		}
		vector<int> dist(24, 0);
		for (int i = 0; i < A.size(); i++) {
			for (int j = 0; j < A.size(); j++) {
				for (int k : G1[j]) dist[k] = max(dist[k], dist[j] + 1);
			}
		}
		vector<pair<int, int>> E;
		for (int i = 1; i < A.size(); i++) {
			int s = 0;
			for (int j : G2[i]) {
				if (dist[j] == dist[i] - 1) s = j;
			}
			E.push_back(make_pair(A[i], A[s]));
		}
		return E;
	}
	else {
		allret += A.size();
		//cout << allret << " " << A.size() << endl;
	}

	// 重心っぽい頂点を見つける
	int grav = -1;
	while (true) {
		int s = rand() % A.size(), cnt = 0; bool flag = false;
		int maxlim = 0;
		if (A.size() <= 20) maxlim = 1;
		else if (A.size() <= 50) maxlim = 3;
		else if (A.size() <= 200) maxlim = 6;
		else if (A.size() <= 500) maxlim = 13;
		else if (A.size() <= 1000) maxlim = 24;
		else if (A.size() <= 2000) maxlim = 37;
		for (int i = 1; i <= maxlim; i++) {
			int t = -1, u = -1;
			while (A[s] == t || t == u || A[s] == u) {
				t = A[rand() % A.size()];
				u = A[rand() % A.size()];
			}
			ret1++;
			if (Ask(A[s], t, u) == A[s]) cnt++;
			if (i == 1 && cnt <= 0) { flag = true; break; }
			if (i == 3 && cnt <= 1) { flag = true; break; }
			if (i == 6 && cnt <= 2) { flag = true; break; }
			if (i == 9 && cnt <= 3) { flag = true; break; }
			if (i == 13 && cnt <= 4) { flag = true; break; }
			if (i == 16 && cnt <= 5) { flag = true; break; }
			if (i == 20 && cnt <= 6) { flag = true; break; }
			if (i == 24 && cnt <= 7) { flag = true; break; }
			if (i == 28 && cnt <= 8) { flag = true; break; }
			if (i == 32 && cnt <= 9) { flag = true; break; }
			if (i == 37 && cnt <= 10) { flag = true; break; }
		}
		if (flag == false) { grav = s; break; }
	}
	//cout << A.size() << " " << ret1 << endl;

	// 重心分解をする
	vector<bool> used(A.size(), 0);
	used[grav] = true; int rem = A.size() - 1;
	vector<vector<int>> centroid;
	while (rem > 0) {
		int p = -1;
		while (p == -1 || used[p] == true) {
			p = rand() % A.size();
		}
		vector<int> cand; cand.push_back(A[p]); used[p] = true; rem--;
		for (int i = 0; i < A.size(); i++) {
			if (used[i] == true || i == p) continue;
			ret2++;
			if (Ask(A[grav], A[p], A[i]) != A[grav]) { cand.push_back(A[i]); used[i] = true; rem--; }
		}
		centroid.push_back(cand);
	}

	// 復元をする
	vector<pair<int, int>> ans;
	for (vector<int> f : centroid) {
		vector<pair<int, int>> Z = dfs(f);
		for (pair<int, int> i : Z) ans.push_back(i);
		int U = f[0];
		if (Z.size() >= 1) U = getlca(A[grav], Z);
		ans.push_back(make_pair(A[grav], U));
	}
	return ans;
}

void Solve(int N) {
	vector<int> L;
	for (int i = 0; i < N; i++) L.push_back(i);

	vector<pair<int, int>> V = dfs(L);

	for (int i = 0; i < V.size(); i++) {
		if (V[i].first > V[i].second) swap(V[i].first, V[i].second);
		Bridge(V[i].first, V[i].second);
	}
	return;
}

Compilation message

meetings.cpp: In function 'void dfs(int)':
meetings.cpp:31:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < G[pos].size(); i++) {
                  ~~^~~~~~~~~~~~~~~
meetings.cpp: In function 'void dfs2(int, int)':
meetings.cpp:41:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < G[pos].size(); i++) {
                  ~~^~~~~~~~~~~~~~~
meetings.cpp: In function 'int getlca(int, std::vector<std::pair<int, int> >)':
meetings.cpp:58:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < E.size(); i++) cand.push_back(E[i].first);
                  ~~^~~~~~~~~~
meetings.cpp:59:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < E.size(); i++) cand.push_back(E[i].second);
                  ~~^~~~~~~~~~
meetings.cpp:64:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < E.size(); i++) {
                  ~~^~~~~~~~~~
meetings.cpp:72:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = mi; i < I.size(); i++) {
                   ~~^~~~~~~~~~
meetings.cpp:76:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int j = 0; j < C1.size() - 1; j++) forced[C1[j]] = true;
                   ~~^~~~~~~~~~~~~~~
meetings.cpp:79:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int j = 0; j < C2.size() - 1; j++) forced[C2[j]] = true;
                   ~~^~~~~~~~~~~~~~~
meetings.cpp: In function 'std::vector<std::pair<int, int> > dfs(std::vector<int>)':
meetings.cpp:104:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int i = 1; i < A.size(); i++) {
                   ~~^~~~~~~~~~
meetings.cpp:105:26: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for (int j = i + 1; j < A.size(); j++) {
                        ~~^~~~~~~~~~
meetings.cpp:112:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int i = 0; i < A.size(); i++) {
                   ~~^~~~~~~~~~
meetings.cpp:113:22: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
    for (int j = 0; j < A.size(); j++) {
                    ~~^~~~~~~~~~
meetings.cpp:118:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int i = 1; i < A.size(); i++) {
                   ~~^~~~~~~~~~
meetings.cpp:177:21: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
   for (int i = 0; i < A.size(); i++) {
                   ~~^~~~~~~~~~
meetings.cpp: In function 'void Solve(int)':
meetings.cpp:203:20: warning: comparison between signed and unsigned integer expressions [-Wsign-compare]
  for (int i = 0; i < V.size(); i++) {
                  ~~^~~~~~~~~~

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 504 KB Output is correct
2 Correct 5 ms 504 KB Output is correct
3 Correct 5 ms 504 KB Output is correct
4 Correct 5 ms 504 KB Output is correct
5 Correct 5 ms 504 KB Output is correct
6 Correct 5 ms 504 KB Output is correct
7 Correct 5 ms 504 KB Output is correct
8 Correct 5 ms 504 KB Output is correct
9 Correct 5 ms 504 KB Output is correct
10 Correct 5 ms 504 KB Output is correct
11 Correct 5 ms 504 KB Output is correct
12 Correct 5 ms 504 KB Output is correct
13 Correct 5 ms 504 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 504 KB Output is correct
2 Correct 5 ms 504 KB Output is correct
3 Correct 5 ms 504 KB Output is correct
4 Correct 5 ms 504 KB Output is correct
5 Correct 5 ms 504 KB Output is correct
6 Correct 5 ms 504 KB Output is correct
7 Correct 5 ms 504 KB Output is correct
8 Correct 5 ms 504 KB Output is correct
9 Correct 5 ms 504 KB Output is correct
10 Correct 5 ms 504 KB Output is correct
11 Correct 5 ms 504 KB Output is correct
12 Correct 5 ms 504 KB Output is correct
13 Correct 5 ms 504 KB Output is correct
14 Correct 5 ms 632 KB Output is correct
15 Correct 5 ms 508 KB Output is correct
16 Correct 6 ms 532 KB Output is correct
17 Correct 6 ms 632 KB Output is correct
18 Correct 5 ms 504 KB Output is correct
19 Correct 5 ms 504 KB Output is correct
20 Correct 5 ms 504 KB Output is correct
21 Correct 5 ms 504 KB Output is correct
22 Correct 5 ms 504 KB Output is correct
23 Correct 5 ms 504 KB Output is correct
24 Correct 5 ms 508 KB Output is correct
25 Correct 5 ms 504 KB Output is correct
26 Correct 5 ms 504 KB Output is correct

Subtask #3
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 504 KB Output is correct
2 Correct 5 ms 504 KB Output is correct
3 Correct 5 ms 504 KB Output is correct
4 Correct 5 ms 504 KB Output is correct
5 Correct 5 ms 504 KB Output is correct
6 Correct 5 ms 504 KB Output is correct
7 Correct 5 ms 504 KB Output is correct
8 Correct 5 ms 504 KB Output is correct
9 Correct 5 ms 504 KB Output is correct
10 Correct 5 ms 504 KB Output is correct
11 Correct 5 ms 504 KB Output is correct
12 Correct 5 ms 504 KB Output is correct
13 Correct 5 ms 504 KB Output is correct
14 Correct 5 ms 632 KB Output is correct
15 Correct 5 ms 508 KB Output is correct
16 Correct 6 ms 532 KB Output is correct
17 Correct 6 ms 632 KB Output is correct
18 Correct 5 ms 504 KB Output is correct
19 Correct 5 ms 504 KB Output is correct
20 Correct 5 ms 504 KB Output is correct
21 Correct 5 ms 504 KB Output is correct
22 Correct 5 ms 504 KB Output is correct
23 Correct 5 ms 504 KB Output is correct
24 Correct 5 ms 508 KB Output is correct
25 Correct 5 ms 504 KB Output is correct
26 Correct 5 ms 504 KB Output is correct
27 Correct 16 ms 760 KB Output is correct
28 Correct 23 ms 760 KB Output is correct
29 Correct 18 ms 760 KB Output is correct
30 Correct 15 ms 760 KB Output is correct
31 Correct 16 ms 760 KB Output is correct
32 Correct 20 ms 764 KB Output is correct
33 Correct 18 ms 760 KB Output is correct
34 Correct 19 ms 888 KB Output is correct
35 Correct 24 ms 888 KB Output is correct
36 Correct 17 ms 760 KB Output is correct
37 Correct 17 ms 760 KB Output is correct
38 Correct 19 ms 760 KB Output is correct
39 Correct 17 ms 760 KB Output is correct

Subtask #4
71.0 / 71.0

# Verdict Execution time Memory Grader output
1 Correct 979 ms 2912 KB Output is correct
2 Correct 982 ms 2952 KB Output is correct
3 Correct 1156 ms 2936 KB Output is correct
4 Correct 1020 ms 2936 KB Output is correct
5 Correct 1259 ms 3236 KB Output is correct
6 Correct 858 ms 3088 KB Output is correct
7 Correct 811 ms 3704 KB Output is correct
8 Correct 813 ms 3704 KB Output is correct
9 Correct 720 ms 3704 KB Output is correct
10 Correct 700 ms 3704 KB Output is correct
11 Correct 842 ms 3920 KB Output is correct
12 Correct 1193 ms 2988 KB Output is correct
13 Correct 1085 ms 3148 KB Output is correct
14 Correct 944 ms 3448 KB Output is correct
15 Correct 878 ms 3568 KB Output is correct
16 Correct 908 ms 3704 KB Output is correct
17 Correct 930 ms 3836 KB Output is correct
18 Correct 985 ms 3780 KB Output is correct
19 Correct 1051 ms 3832 KB Output is correct
20 Correct 1002 ms 3628 KB Output is correct
21 Correct 1083 ms 3448 KB Output is correct
22 Correct 1066 ms 3528 KB Output is correct
23 Correct 1100 ms 3620 KB Output is correct
24 Correct 1068 ms 3448 KB Output is correct
25 Correct 1126 ms 3576 KB Output is correct
26 Correct 1108 ms 3576 KB Output is correct
27 Correct 1156 ms 3500 KB Output is correct
28 Correct 851 ms 3964 KB Output is correct
29 Correct 599 ms 3704 KB Output is correct
30 Correct 750 ms 3960 KB Output is correct
31 Correct 677 ms 3948 KB Output is correct
32 Correct 1100 ms 3260 KB Output is correct
33 Correct 849 ms 2840 KB Output is correct
34 Correct 16 ms 760 KB Output is correct
35 Correct 25 ms 764 KB Output is correct
36 Correct 19 ms 760 KB Output is correct
37 Correct 18 ms 888 KB Output is correct
38 Correct 16 ms 760 KB Output is correct
39 Correct 18 ms 888 KB Output is correct
40 Correct 18 ms 888 KB Output is correct
41 Correct 18 ms 888 KB Output is correct
42 Correct 21 ms 888 KB Output is correct
43 Correct 20 ms 760 KB Output is correct
44 Correct 18 ms 760 KB Output is correct
45 Correct 17 ms 760 KB Output is correct
46 Correct 15 ms 760 KB Output is correct
47 Correct 5 ms 504 KB Output is correct
48 Correct 5 ms 504 KB Output is correct
49 Correct 5 ms 504 KB Output is correct
50 Correct 5 ms 504 KB Output is correct
51 Correct 5 ms 504 KB Output is correct
52 Correct 5 ms 504 KB Output is correct
53 Correct 5 ms 632 KB Output is correct
54 Correct 6 ms 632 KB Output is correct
55 Correct 7 ms 504 KB Output is correct
56 Correct 5 ms 504 KB Output is correct
57 Correct 5 ms 504 KB Output is correct
58 Correct 5 ms 504 KB Output is correct
59 Correct 5 ms 504 KB Output is correct
60 Correct 5 ms 508 KB Output is correct
61 Correct 5 ms 504 KB Output is correct
62 Correct 5 ms 504 KB Output is correct
63 Correct 6 ms 504 KB Output is correct
64 Correct 5 ms 504 KB Output is correct
65 Correct 5 ms 504 KB Output is correct
66 Correct 5 ms 504 KB Output is correct
67 Correct 5 ms 504 KB Output is correct
68 Correct 5 ms 504 KB Output is correct
69 Correct 5 ms 504 KB Output is correct
70 Correct 5 ms 504 KB Output is correct
71 Correct 5 ms 504 KB Output is correct
72 Correct 5 ms 504 KB Output is correct