Submission #683569

# Submission time Handle Problem Language Result Execution time Memory
683569 2023-01-18T18:13:31 Z whqkrtk04 Connecting Supertrees (IOI20_supertrees) C++17
100 / 100
206 ms 24276 KB
#include "supertrees.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef pair<int, pii> piii;
typedef pair<ll, ll> pll;
typedef pair<ll, pll> plll;
#define fi first
#define se second
const int INF = 1e9+1;
const int P = 1000000007;
const ll LLINF = (ll)1e18+1;
template <typename T1, typename T2>
ostream& operator<<(ostream& os, const pair<T1, T2>& p) { os << p.fi << " " << p.se; return os; }
template <typename T>
ostream& operator<<(ostream& os, const vector<T>& v) { for(auto i : v) os << i << " "; os << "\n"; return os; }
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
#define rnd(x, y) uniform_int_distribution<int>(x, y)(rng)

class UnionFind {
	private:
	vector<int> P;

	public:
	UnionFind(int n) {
		P.resize(n);
		for(int i = 0; i < n; i++) P[i] = i;
	}
	int fin(int x) {
		if(x == P[x]) return x;
		return P[x] = fin(P[x]);
	}
	void mer(int x, int y) {
		x = fin(x), y = fin(y);
		if(x != y) P[x] = y;
	}
	vector<vector<int>> classify() {
		vector<vector<int>> ret(P.size());
		for(int i = 0; i < P.size(); i++) ret[fin(i)].push_back(i);
		return ret;
	}
};

int construct(vector<vector<int>> p) {
	int n = p.size();
	UnionFind uf0(n), uf1(n);
	for(int i = 0; i < n; i++) {
		for(int j = 0; j < n; j++) {
			if(i == j && p[i][j] != 1) return 0;
			if(p[i][j] != p[j][i]) return 0;
			if(p[i][j] == 3) return 0;
			if(p[i][j]) uf0.mer(i, j);
			if(p[i][j] == 1) uf1.mer(i, j);
		}
	}
	for(int i = 0; i < n; i++) {
		for(int j = 0; j < n; j++) {
			int x = uf0.fin(i), y = uf0.fin(j);
			if(x == y) {
				if(p[i][j] == 0) return 0;
				x = uf1.fin(i), y = uf1.fin(j);
				if(x == y) {
					if(p[i][j] != 1) return 0;
				} else if(p[i][j] != 2) return 0;
			} else if(p[i][j]) return 0;
		}
	}
	vector<vector<int>> C = uf0.classify(), D = uf1.classify(), ret(n, vector<int>(n, 0));
	//cout << " " << C << " " << D;
	for(auto &v : C) {
		if(v.empty()) continue;
		for(auto &i : v) i = uf1.fin(i);
		sort(v.begin(), v.end());
		v.erase(unique(v.begin(), v.end()), v.end());
		if(v.size() == 2) return 0;
		if(v.size() == 1) continue;
		ret[v.front()][v.back()] = ret[v.back()][v.front()] = 1;
		for(int i = 1; i < v.size(); i++) ret[v[i-1]][v[i]] = ret[v[i]][v[i-1]] = 1;
	}
	for(int i = 0; i < n; i++)
		for(int j = 0; j < D[i].size(); j++)
			ret[D[i][j]][i] = ret[i][D[i][j]] = 1;
	for(int i = 0; i < n; i++) ret[i][i] = 0;
	build(ret);
	return 1;
}

Compilation message

supertrees.cpp: In member function 'std::vector<std::vector<int> > UnionFind::classify()':
supertrees.cpp:40:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   40 |   for(int i = 0; i < P.size(); i++) ret[fin(i)].push_back(i);
      |                  ~~^~~~~~~~~~
supertrees.cpp: In function 'int construct(std::vector<std::vector<int> >)':
supertrees.cpp:79:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   79 |   for(int i = 1; i < v.size(); i++) ret[v[i-1]][v[i]] = ret[v[i]][v[i-1]] = 1;
      |                  ~~^~~~~~~~~~
supertrees.cpp:82:20: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   82 |   for(int j = 0; j < D[i].size(); j++)
      |                  ~~^~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 8 ms 1168 KB Output is correct
7 Correct 176 ms 22024 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 8 ms 1168 KB Output is correct
7 Correct 176 ms 22024 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 9 ms 1108 KB Output is correct
13 Correct 166 ms 22072 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 4 ms 596 KB Output is correct
17 Correct 83 ms 8196 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 43 ms 5764 KB Output is correct
21 Correct 179 ms 22148 KB Output is correct
22 Correct 176 ms 22236 KB Output is correct
23 Correct 197 ms 22212 KB Output is correct
24 Correct 173 ms 22184 KB Output is correct
25 Correct 66 ms 8212 KB Output is correct
26 Correct 88 ms 8216 KB Output is correct
27 Correct 195 ms 22240 KB Output is correct
28 Correct 167 ms 22264 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 304 KB Output is correct
8 Correct 7 ms 1276 KB Output is correct
9 Correct 163 ms 24072 KB Output is correct
10 Correct 0 ms 308 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 8 ms 1292 KB Output is correct
13 Correct 173 ms 24116 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 304 KB Output is correct
16 Correct 4 ms 596 KB Output is correct
17 Correct 79 ms 10032 KB Output is correct
18 Correct 0 ms 340 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 212 KB Output is correct
21 Correct 43 ms 6260 KB Output is correct
22 Correct 172 ms 24276 KB Output is correct
23 Correct 169 ms 24060 KB Output is correct
24 Correct 184 ms 24112 KB Output is correct
25 Correct 68 ms 14200 KB Output is correct
26 Correct 70 ms 10108 KB Output is correct
27 Correct 186 ms 23988 KB Output is correct
28 Correct 187 ms 24112 KB Output is correct
29 Correct 69 ms 14204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 43 ms 5736 KB Output is correct
5 Correct 190 ms 22088 KB Output is correct
6 Correct 171 ms 22024 KB Output is correct
7 Correct 206 ms 22072 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 43 ms 5800 KB Output is correct
10 Correct 168 ms 22092 KB Output is correct
11 Correct 170 ms 22076 KB Output is correct
12 Correct 188 ms 22148 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 42 ms 5796 KB Output is correct
17 Correct 171 ms 22156 KB Output is correct
18 Correct 171 ms 22080 KB Output is correct
19 Correct 171 ms 22020 KB Output is correct
20 Correct 171 ms 22156 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 8 ms 1168 KB Output is correct
7 Correct 176 ms 22024 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 9 ms 1108 KB Output is correct
13 Correct 166 ms 22072 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 4 ms 596 KB Output is correct
17 Correct 83 ms 8196 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 43 ms 5764 KB Output is correct
21 Correct 179 ms 22148 KB Output is correct
22 Correct 176 ms 22236 KB Output is correct
23 Correct 197 ms 22212 KB Output is correct
24 Correct 173 ms 22184 KB Output is correct
25 Correct 66 ms 8212 KB Output is correct
26 Correct 88 ms 8216 KB Output is correct
27 Correct 195 ms 22240 KB Output is correct
28 Correct 167 ms 22264 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 304 KB Output is correct
36 Correct 7 ms 1276 KB Output is correct
37 Correct 163 ms 24072 KB Output is correct
38 Correct 0 ms 308 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 8 ms 1292 KB Output is correct
41 Correct 173 ms 24116 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 0 ms 304 KB Output is correct
44 Correct 4 ms 596 KB Output is correct
45 Correct 79 ms 10032 KB Output is correct
46 Correct 0 ms 340 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 43 ms 6260 KB Output is correct
50 Correct 172 ms 24276 KB Output is correct
51 Correct 169 ms 24060 KB Output is correct
52 Correct 184 ms 24112 KB Output is correct
53 Correct 68 ms 14200 KB Output is correct
54 Correct 70 ms 10108 KB Output is correct
55 Correct 186 ms 23988 KB Output is correct
56 Correct 187 ms 24112 KB Output is correct
57 Correct 69 ms 14204 KB Output is correct
58 Correct 0 ms 212 KB Output is correct
59 Correct 1 ms 212 KB Output is correct
60 Correct 4 ms 696 KB Output is correct
61 Correct 84 ms 10112 KB Output is correct
62 Correct 0 ms 212 KB Output is correct
63 Correct 1 ms 212 KB Output is correct
64 Correct 1 ms 212 KB Output is correct
65 Correct 43 ms 6220 KB Output is correct
66 Correct 67 ms 10032 KB Output is correct
67 Correct 66 ms 10036 KB Output is correct
68 Correct 64 ms 10104 KB Output is correct
69 Correct 76 ms 14204 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 8 ms 1168 KB Output is correct
7 Correct 176 ms 22024 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 0 ms 212 KB Output is correct
10 Correct 0 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 9 ms 1108 KB Output is correct
13 Correct 166 ms 22072 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 4 ms 596 KB Output is correct
17 Correct 83 ms 8196 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 43 ms 5764 KB Output is correct
21 Correct 179 ms 22148 KB Output is correct
22 Correct 176 ms 22236 KB Output is correct
23 Correct 197 ms 22212 KB Output is correct
24 Correct 173 ms 22184 KB Output is correct
25 Correct 66 ms 8212 KB Output is correct
26 Correct 88 ms 8216 KB Output is correct
27 Correct 195 ms 22240 KB Output is correct
28 Correct 167 ms 22264 KB Output is correct
29 Correct 0 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 1 ms 212 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 304 KB Output is correct
36 Correct 7 ms 1276 KB Output is correct
37 Correct 163 ms 24072 KB Output is correct
38 Correct 0 ms 308 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 8 ms 1292 KB Output is correct
41 Correct 173 ms 24116 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 0 ms 304 KB Output is correct
44 Correct 4 ms 596 KB Output is correct
45 Correct 79 ms 10032 KB Output is correct
46 Correct 0 ms 340 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 1 ms 212 KB Output is correct
49 Correct 43 ms 6260 KB Output is correct
50 Correct 172 ms 24276 KB Output is correct
51 Correct 169 ms 24060 KB Output is correct
52 Correct 184 ms 24112 KB Output is correct
53 Correct 68 ms 14200 KB Output is correct
54 Correct 70 ms 10108 KB Output is correct
55 Correct 186 ms 23988 KB Output is correct
56 Correct 187 ms 24112 KB Output is correct
57 Correct 69 ms 14204 KB Output is correct
58 Correct 0 ms 212 KB Output is correct
59 Correct 1 ms 212 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 43 ms 5736 KB Output is correct
62 Correct 190 ms 22088 KB Output is correct
63 Correct 171 ms 22024 KB Output is correct
64 Correct 206 ms 22072 KB Output is correct
65 Correct 1 ms 212 KB Output is correct
66 Correct 43 ms 5800 KB Output is correct
67 Correct 168 ms 22092 KB Output is correct
68 Correct 170 ms 22076 KB Output is correct
69 Correct 188 ms 22148 KB Output is correct
70 Correct 0 ms 212 KB Output is correct
71 Correct 1 ms 212 KB Output is correct
72 Correct 0 ms 212 KB Output is correct
73 Correct 42 ms 5796 KB Output is correct
74 Correct 171 ms 22156 KB Output is correct
75 Correct 171 ms 22080 KB Output is correct
76 Correct 171 ms 22020 KB Output is correct
77 Correct 171 ms 22156 KB Output is correct
78 Correct 0 ms 212 KB Output is correct
79 Correct 1 ms 212 KB Output is correct
80 Correct 4 ms 696 KB Output is correct
81 Correct 84 ms 10112 KB Output is correct
82 Correct 0 ms 212 KB Output is correct
83 Correct 1 ms 212 KB Output is correct
84 Correct 1 ms 212 KB Output is correct
85 Correct 43 ms 6220 KB Output is correct
86 Correct 67 ms 10032 KB Output is correct
87 Correct 66 ms 10036 KB Output is correct
88 Correct 64 ms 10104 KB Output is correct
89 Correct 76 ms 14204 KB Output is correct
90 Correct 0 ms 212 KB Output is correct
91 Correct 1 ms 212 KB Output is correct
92 Correct 3 ms 596 KB Output is correct
93 Correct 67 ms 10104 KB Output is correct
94 Correct 1 ms 212 KB Output is correct
95 Correct 0 ms 300 KB Output is correct
96 Correct 1 ms 212 KB Output is correct
97 Correct 16 ms 2692 KB Output is correct
98 Correct 63 ms 10060 KB Output is correct
99 Correct 63 ms 10032 KB Output is correct
100 Correct 64 ms 10032 KB Output is correct
101 Correct 62 ms 10032 KB Output is correct
102 Correct 67 ms 10032 KB Output is correct
103 Correct 70 ms 10044 KB Output is correct
104 Correct 92 ms 10104 KB Output is correct
105 Correct 70 ms 10116 KB Output is correct