Submission #840075

# Submission time Handle Problem Language Result Execution time Memory
840075 2023-08-31T05:50:55 Z happypotato Longest Trip (IOI23_longesttrip) C++17
35 / 100
1000 ms 492 KB
#include "longesttrip.h"
 
#include <bits/stdc++.h>
#pragma GCC optimize("O2")
using namespace std;
// #define int long long // remove when necessary
#define pii pair<int, int>
#define ff first
#define ss second
#define pb push_back
#define ll long long
const int mxN = 256;
vector<int> adj[mxN];
vector<int> grp[mxN];
bool con[mxN][mxN];
int n;
int dsupp[mxN];
vector<int> nxt[mxN];
bool vis[mxN];
void resetvis() {
	for (int i = 0; i < n; i++) vis[i] = false;
}
void reset() {
	for (int i = 0; i < n; i++) {
		adj[i].clear();
		grp[i].clear();
		for (int j = 0; j < n; j++) {
			con[i][j] = 0;
		}
		dsupp[i] = i;
		nxt[i].clear();
		vis[i] = false;
	}
}
int DSUFind(int u) {
	if (dsupp[u] == u) return u;
	return (dsupp[u] = DSUFind(dsupp[u]));
}
void DSUMerge(int u, int v) {
	u = DSUFind(u); v = DSUFind(v);
	if (u != v) dsupp[v] = u;
}
vector<int> GetPath(int st) {
	resetvis();
	vector<int> res;
	while (true) {
		res.pb(st);
		vis[st] = true;
		bool found = false;
		for (int &v : nxt[st]) {
			if (!vis[v]) {
				st = v;
				found = true;
				break;
			}
		}
		if (!found) break;
	}
	return res;
}
vector<int> MakePath(vector<int> &v) {
	if (v.size() == 1) return {v[0]};
	if (v.size() == 2) {
		if (con[v[0]][v[1]]) return {v[0], v[1]};
		else return {v[0]};
	}
	if (v.size() == 3) {
		if (con[v[0]][v[1]] && con[v[0]][v[2]]) return {v[1], v[0], v[2]};
		if (con[v[0]][v[1]] && con[v[1]][v[2]]) return {v[0], v[1], v[2]};
		if (con[v[0]][v[2]] && con[v[1]][v[2]]) return {v[0], v[2], v[1]};
		if (con[v[0]][v[1]]) return {v[0], v[1]};
		if (con[v[0]][v[2]]) return {v[0], v[2]};
		if (con[v[1]][v[2]]) return {v[1], v[2]};
		return {v[0]};
	}
	for (int i = 0; i < n; i++) {
		nxt[i].clear();
	}
	pair<pii, pii> cur = {{v[0], v[0]}, {v[1], v[1]}};
	for (int i = 2; i < (int)(v.size()); i++) {
		if (con[cur.ff.ff][cur.ss.ff]) {
			nxt[cur.ff.ff].pb(cur.ss.ff);
			nxt[cur.ss.ff].pb(cur.ff.ff);
			cur.ff.ff = cur.ss.ss;
			cur.ss = {v[i], v[i]};
		} else if (con[cur.ff.ff][v[i]]) {
			nxt[cur.ff.ff].pb(v[i]);
			nxt[v[i]].pb(cur.ff.ff);
			cur.ff.ff = v[i];
		} else if (con[cur.ss.ff][v[i]]) {
			nxt[cur.ss.ff].pb(v[i]);
			nxt[v[i]].pb(cur.ss.ff);
			cur.ss.ff = v[i];
		} else {
			while (true) continue;
		}
	}
	int st;
	if (con[cur.ff.ff][cur.ss.ff]) {
		nxt[cur.ff.ff].pb(cur.ss.ff);
		nxt[cur.ss.ff].pb(cur.ff.ff);
		st = cur.ff.ss;
	} else if (con[cur.ff.ff][cur.ss.ss]) {
		nxt[cur.ff.ff].pb(cur.ss.ss);
		nxt[cur.ss.ss].pb(cur.ff.ff);
		st = cur.ff.ss;
	} else if (con[cur.ff.ss][cur.ss.ff]) {
		nxt[cur.ff.ss].pb(cur.ss.ff);
		nxt[cur.ss.ff].pb(cur.ff.ss);
		st = cur.ff.ff;
	} else if (con[cur.ff.ss][cur.ss.ss]) {
		nxt[cur.ff.ss].pb(cur.ss.ss);
		nxt[cur.ss.ss].pb(cur.ff.ss);
		st = cur.ff.ff;
	} else {
		vector<int> res[2];
		res[0] = GetPath(cur.ff.ff);
		res[1] = GetPath(cur.ss.ff);
 
		// cerr << "res0: ";
		// for (int &x : res[0]) cerr << x << ' ';
		// cerr << endl;
		// cerr << "res1: ";
		// for (int &x : res[1]) cerr << x << ' ';
		// cerr << endl;
 
		bool found = false;
		for (int i = 0; i < (int)(res[0].size()); i++) {
			for (int j = 0; j < (int)(res[1].size()); j++) {
				if (con[res[0][i]][res[1][j]]) {
					// cerr << "FOUND " << res[0][i] << ' ' << res[1][j] << endl;
					nxt[res[0][i]].pb(res[1][j]);
					nxt[res[1][j]].pb(res[0][i]);
 
					if (res[0].size() >= 3) {
						nxt[cur.ff.ff].pb(cur.ff.ss);
						nxt[cur.ff.ss].pb(cur.ff.ff);
						// cerr << "RES0 ";
						// for (int &x : res[0]) cerr << x << ' ';
						// cerr << endl;
						st = (i == 0 ? res[0].back() : res[0][i - 1]);
						// cerr << "ST " << st << endl;
						vector<int>::iterator it;
						for (it = nxt[st].begin(); it != nxt[st].end(); ++it) {
							if (*it == res[0][i]) {
								nxt[st].erase(it);
								break;
							}
						}
						for (it = nxt[res[0][i]].begin(); it != nxt[res[0][i]].end(); ++it) {
							if (*it == st) {
								nxt[res[0][i]].erase(it);
								break;
							}
						}
					} else {
						st = (res[0].size() == 2 ? res[0][i ^ 1] : res[0][i]);
					}
 
					if (res[1].size() >= 3) {
						nxt[cur.ss.ff].pb(cur.ss.ss);
						nxt[cur.ss.ss].pb(cur.ss.ff);
						int tar = (j == 0 ? res[1].back() : res[1][j + 1]);
						vector<int>::iterator it;
						for (it = nxt[tar].begin(); it != nxt[tar].end(); ++it) {
							if (*it == res[1][j]) {
								nxt[tar].erase(it);
								break;
							}
						}
						for (it = nxt[res[1][j]].begin(); it != nxt[res[1][j]].end(); ++it) {
							if (*it == tar) {
								nxt[res[1][j]].erase(it);
								break;
							}
						}
					}
 
					found = true;
					break;
				}
			}
			if (found) break;
		}
		if (!found) {
			while (true) continue;
		}
	}
 
	// cerr << "find path for: ";
	// for (int &x : v) cerr << x << ' ';
	// cerr << endl;
	
	vector<int> res = GetPath(st);
 
	// cerr << "st: " << st << endl;
	// cerr << "result: ";
	// for (int &x : res) cerr << x << ' ';
	// cerr << endl;
 
	return res;
}
vector<int> longest_trip(int N, int D)
{
	n = N;
	reset();
	if (D == 3) {
		vector<int> res(n);
		for (int i = 0; i < n; i++) res[i] = i;
		return res;
	}
	for (int i = 0; i < n; i++) {
		for (int j = i + 1; j < n; j++) {
			if (are_connected({i}, {j})) {
				con[i][j] = con[j][i] = true;
				DSUMerge(i, j);
			}
		}
	}
	for (int i = 0; i < n; i++) {
		grp[DSUFind(i)].pb(i);
	}
	vector<int> best = {};
	for (int i = 0; i < n; i++) {
		if (grp[i].empty()) continue;
		vector<int> res = MakePath(grp[i]);
		if (res.size() > best.size()) {
			best = res;
		}
	}
	return best;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 180 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 208 KB Output is correct
2 Correct 1 ms 208 KB Output is correct
3 Correct 1 ms 208 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 1 ms 308 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 9 ms 208 KB Output is correct
2 Correct 44 ms 208 KB Output is correct
3 Correct 161 ms 332 KB Output is correct
4 Correct 425 ms 336 KB Output is correct
5 Correct 961 ms 364 KB Output is correct
6 Correct 9 ms 208 KB Output is correct
7 Correct 41 ms 208 KB Output is correct
8 Correct 136 ms 336 KB Output is correct
9 Correct 397 ms 336 KB Output is correct
10 Correct 870 ms 360 KB Output is correct
11 Correct 746 ms 380 KB Output is correct
12 Correct 749 ms 368 KB Output is correct
13 Correct 819 ms 364 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 10 ms 208 KB Output is correct
2 Correct 33 ms 208 KB Output is correct
3 Correct 201 ms 208 KB Output is correct
4 Correct 452 ms 340 KB Output is correct
5 Correct 744 ms 360 KB Output is correct
6 Correct 12 ms 208 KB Output is correct
7 Correct 26 ms 208 KB Output is correct
8 Correct 165 ms 336 KB Output is correct
9 Correct 309 ms 336 KB Output is correct
10 Correct 808 ms 360 KB Output is correct
11 Correct 792 ms 364 KB Output is correct
12 Correct 923 ms 368 KB Output is correct
13 Correct 996 ms 368 KB Output is correct
14 Correct 9 ms 208 KB Output is correct
15 Correct 18 ms 208 KB Output is correct
16 Correct 59 ms 208 KB Output is correct
17 Correct 136 ms 208 KB Output is correct
18 Correct 172 ms 336 KB Output is correct
19 Correct 291 ms 336 KB Output is correct
20 Correct 369 ms 336 KB Output is correct
21 Correct 938 ms 368 KB Output is correct
22 Correct 858 ms 360 KB Output is correct
23 Correct 941 ms 368 KB Output is correct
24 Correct 684 ms 372 KB Output is correct
25 Correct 16 ms 208 KB Output is correct
26 Correct 11 ms 208 KB Output is correct
27 Correct 21 ms 208 KB Output is correct
28 Correct 25 ms 208 KB Output is correct
29 Correct 43 ms 208 KB Output is correct
30 Correct 193 ms 336 KB Output is correct
31 Correct 179 ms 336 KB Output is correct
32 Correct 212 ms 336 KB Output is correct
33 Correct 257 ms 336 KB Output is correct
34 Correct 308 ms 336 KB Output is correct
35 Correct 332 ms 336 KB Output is correct
36 Correct 903 ms 336 KB Output is correct
37 Execution timed out 1108 ms 368 KB Time limit exceeded
38 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 11 ms 208 KB Output is correct
2 Correct 36 ms 208 KB Output is correct
3 Partially correct 142 ms 208 KB Output is partially correct
4 Partially correct 405 ms 336 KB Output is partially correct
5 Partially correct 898 ms 360 KB Output is partially correct
6 Correct 15 ms 208 KB Output is correct
7 Correct 29 ms 208 KB Output is correct
8 Partially correct 198 ms 208 KB Output is partially correct
9 Partially correct 356 ms 336 KB Output is partially correct
10 Partially correct 1000 ms 368 KB Output is partially correct
11 Partially correct 783 ms 368 KB Output is partially correct
12 Partially correct 980 ms 364 KB Output is partially correct
13 Partially correct 820 ms 336 KB Output is partially correct
14 Correct 8 ms 208 KB Output is correct
15 Correct 21 ms 208 KB Output is correct
16 Correct 46 ms 208 KB Output is correct
17 Partially correct 95 ms 208 KB Output is partially correct
18 Partially correct 121 ms 336 KB Output is partially correct
19 Partially correct 269 ms 336 KB Output is partially correct
20 Partially correct 317 ms 336 KB Output is partially correct
21 Correct 15 ms 208 KB Output is correct
22 Correct 11 ms 208 KB Output is correct
23 Correct 27 ms 208 KB Output is correct
24 Correct 24 ms 208 KB Output is correct
25 Correct 24 ms 208 KB Output is correct
26 Partially correct 204 ms 336 KB Output is partially correct
27 Partially correct 205 ms 336 KB Output is partially correct
28 Partially correct 210 ms 336 KB Output is partially correct
29 Partially correct 283 ms 336 KB Output is partially correct
30 Partially correct 259 ms 336 KB Output is partially correct
31 Partially correct 279 ms 336 KB Output is partially correct
32 Correct 9 ms 208 KB Output is correct
33 Correct 10 ms 208 KB Output is correct
34 Correct 33 ms 208 KB Output is correct
35 Correct 34 ms 208 KB Output is correct
36 Correct 25 ms 208 KB Output is correct
37 Partially correct 165 ms 208 KB Output is partially correct
38 Partially correct 214 ms 336 KB Output is partially correct
39 Partially correct 202 ms 336 KB Output is partially correct
40 Partially correct 322 ms 336 KB Output is partially correct
41 Partially correct 322 ms 336 KB Output is partially correct
42 Partially correct 318 ms 336 KB Output is partially correct
43 Partially correct 842 ms 368 KB Output is partially correct
44 Partially correct 781 ms 364 KB Output is partially correct
45 Partially correct 803 ms 368 KB Output is partially correct
46 Partially correct 873 ms 376 KB Output is partially correct
47 Partially correct 849 ms 372 KB Output is partially correct
48 Partially correct 791 ms 360 KB Output is partially correct
49 Partially correct 679 ms 364 KB Output is partially correct
50 Partially correct 697 ms 368 KB Output is partially correct
51 Partially correct 736 ms 372 KB Output is partially correct
52 Partially correct 778 ms 364 KB Output is partially correct
53 Partially correct 788 ms 360 KB Output is partially correct
54 Partially correct 751 ms 380 KB Output is partially correct
55 Partially correct 696 ms 376 KB Output is partially correct
56 Partially correct 687 ms 360 KB Output is partially correct
57 Partially correct 744 ms 368 KB Output is partially correct
58 Partially correct 744 ms 360 KB Output is partially correct
59 Partially correct 799 ms 372 KB Output is partially correct
60 Partially correct 704 ms 360 KB Output is partially correct
61 Partially correct 750 ms 360 KB Output is partially correct
62 Partially correct 780 ms 368 KB Output is partially correct
63 Partially correct 806 ms 376 KB Output is partially correct
64 Partially correct 773 ms 372 KB Output is partially correct
65 Partially correct 796 ms 376 KB Output is partially correct
66 Partially correct 756 ms 376 KB Output is partially correct
67 Partially correct 787 ms 360 KB Output is partially correct
68 Partially correct 806 ms 376 KB Output is partially correct
69 Partially correct 833 ms 492 KB Output is partially correct
70 Partially correct 777 ms 372 KB Output is partially correct
71 Partially correct 854 ms 376 KB Output is partially correct
72 Partially correct 706 ms 336 KB Output is partially correct
73 Partially correct 911 ms 380 KB Output is partially correct
74 Partially correct 779 ms 364 KB Output is partially correct
75 Partially correct 809 ms 384 KB Output is partially correct
76 Partially correct 834 ms 368 KB Output is partially correct
77 Partially correct 738 ms 380 KB Output is partially correct
78 Partially correct 685 ms 364 KB Output is partially correct
79 Partially correct 638 ms 368 KB Output is partially correct
80 Partially correct 782 ms 360 KB Output is partially correct
81 Partially correct 799 ms 376 KB Output is partially correct
82 Partially correct 901 ms 404 KB Output is partially correct