oj.uz

Submission #206986

# Submission time Handle Problem Language Result Execution time Memory
206986 2020-03-06T03:27:17 Z E869120 Meetings (JOI19_meetings) C++14
100 / 100
 1373 ms 3832 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;
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() <= 18) {
		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;
	}

	// 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() <= 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:172:21: 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:198:20: 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 472 KB Output is correct
3 Correct 5 ms 508 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 472 KB Output is correct
3 Correct 5 ms 508 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 6 ms 632 KB Output is correct
15 Correct 5 ms 504 KB Output is correct
16 Correct 5 ms 504 KB Output is correct
17 Correct 6 ms 504 KB Output is correct
18 Correct 5 ms 508 KB Output is correct
19 Correct 5 ms 504 KB Output is correct
20 Correct 5 ms 632 KB Output is correct
21 Correct 5 ms 632 KB Output is correct
22 Correct 5 ms 508 KB Output is correct
23 Correct 5 ms 540 KB Output is correct
24 Correct 5 ms 508 KB Output is correct
25 Correct 6 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 472 KB Output is correct
3 Correct 5 ms 508 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 6 ms 632 KB Output is correct
15 Correct 5 ms 504 KB Output is correct
16 Correct 5 ms 504 KB Output is correct
17 Correct 6 ms 504 KB Output is correct
18 Correct 5 ms 508 KB Output is correct
19 Correct 5 ms 504 KB Output is correct
20 Correct 5 ms 632 KB Output is correct
21 Correct 5 ms 632 KB Output is correct
22 Correct 5 ms 508 KB Output is correct
23 Correct 5 ms 540 KB Output is correct
24 Correct 5 ms 508 KB Output is correct
25 Correct 6 ms 504 KB Output is correct
26 Correct 5 ms 504 KB Output is correct
27 Correct 18 ms 760 KB Output is correct
28 Correct 27 ms 884 KB Output is correct
29 Correct 19 ms 760 KB Output is correct
30 Correct 18 ms 760 KB Output is correct
31 Correct 18 ms 760 KB Output is correct
32 Correct 17 ms 760 KB Output is correct
33 Correct 19 ms 760 KB Output is correct
34 Correct 20 ms 760 KB Output is correct
35 Correct 24 ms 824 KB Output is correct
36 Correct 20 ms 760 KB Output is correct
37 Correct 19 ms 888 KB Output is correct
38 Correct 20 ms 760 KB Output is correct
39 Correct 18 ms 792 KB Output is correct

Subtask #4
71.0 / 71.0

# Verdict Execution time Memory Grader output
1 Correct 1131 ms 2996 KB Output is correct
2 Correct 1066 ms 3320 KB Output is correct
3 Correct 1173 ms 2992 KB Output is correct
4 Correct 1120 ms 2940 KB Output is correct
5 Correct 1320 ms 3448 KB Output is correct
6 Correct 960 ms 3192 KB Output is correct
7 Correct 790 ms 3448 KB Output is correct
8 Correct 856 ms 3448 KB Output is correct
9 Correct 777 ms 3696 KB Output is correct
10 Correct 750 ms 3644 KB Output is correct
11 Correct 836 ms 3724 KB Output is correct
12 Correct 1373 ms 3264 KB Output is correct
13 Correct 1153 ms 3304 KB Output is correct
14 Correct 964 ms 3576 KB Output is correct
15 Correct 919 ms 3576 KB Output is correct
16 Correct 931 ms 3448 KB Output is correct
17 Correct 948 ms 3704 KB Output is correct
18 Correct 955 ms 3576 KB Output is correct
19 Correct 1080 ms 3576 KB Output is correct
20 Correct 1016 ms 3576 KB Output is correct
21 Correct 1187 ms 3576 KB Output is correct
22 Correct 1194 ms 3704 KB Output is correct
23 Correct 1122 ms 3576 KB Output is correct
24 Correct 1056 ms 3576 KB Output is correct
25 Correct 1164 ms 3660 KB Output is correct
26 Correct 1154 ms 3448 KB Output is correct
27 Correct 1170 ms 3600 KB Output is correct
28 Correct 925 ms 3832 KB Output is correct
29 Correct 651 ms 3700 KB Output is correct
30 Correct 833 ms 3704 KB Output is correct
31 Correct 799 ms 3832 KB Output is correct
32 Correct 1259 ms 3184 KB Output is correct
33 Correct 980 ms 3256 KB Output is correct
34 Correct 18 ms 760 KB Output is correct
35 Correct 26 ms 888 KB Output is correct
36 Correct 18 ms 760 KB Output is correct
37 Correct 17 ms 760 KB Output is correct
38 Correct 18 ms 724 KB Output is correct
39 Correct 17 ms 760 KB Output is correct
40 Correct 19 ms 888 KB Output is correct
41 Correct 21 ms 888 KB Output is correct
42 Correct 23 ms 888 KB Output is correct
43 Correct 17 ms 764 KB Output is correct
44 Correct 19 ms 760 KB Output is correct
45 Correct 20 ms 888 KB Output is correct
46 Correct 17 ms 760 KB Output is correct
47 Correct 6 ms 508 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 632 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 504 KB Output is correct
54 Correct 5 ms 504 KB Output is correct
55 Correct 5 ms 504 KB Output is correct
56 Correct 5 ms 504 KB Output is correct
57 Correct 5 ms 632 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 504 KB Output is correct
61 Correct 5 ms 504 KB Output is correct
62 Correct 4 ms 504 KB Output is correct
63 Correct 4 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 4 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