oj.uz

Submission #998129

# Submission time Handle Problem Language Result Execution time Memory
998129 2024-06-13T10:16:35 Z Arapak Connecting Supertrees (IOI20_supertrees) C++17
96 / 100
 180 ms 24148 KB 
// Author: Kajetan Ramsza
#include "bits/stdc++.h"
#include "supertrees.h"
using namespace std;

#define rep(i, a, b) for(int i = (a); i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;

template<typename F, typename S> ostream& operator<<(ostream& os, const pair<F, S> &p) { return os<<"("<<p.first<<", "<<p.second<<")"; }
template<typename T> ostream &operator<<(ostream & os, const vector<T> &v) { os << "{"; typename vector< T > :: const_iterator it;
    for( it = v.begin(); it != v.end(); it++ ) { if( it != v.begin() ) os << ", "; os << *it; } return os << "}"; }

void dbg_out() { cerr<<'\n'; }
template<typename Head, typename... Tail> void dbg_out(Head H, Tail... T) { cerr<<' '<<H; dbg_out(T...); }

#ifdef DEBUG
#define dbg(...) cerr<<"(" << #__VA_ARGS__ <<"):", dbg_out(__VA_ARGS__)
#else
#define dbg(...) 
#endif

struct DSU {
	vi dsu, siz;

	DSU(int n) : dsu(n), siz(n, 1) {
		iota(all(dsu), 0);
	}

	int find(int x) {
		if(dsu[x] == x) return x;
		return dsu[x] = find(dsu[x]);
	}

	void merge(int a, int b) {
		a = find(a); b = find(b);
		if(a == b) return;
		if(siz[a] < siz[b]) swap(a, b);
		else if(siz[a] == siz[b]) siz[a]++;
		dsu[b] = a;
	}

	bool same(int a, int b) {
		return find(a) == find(b);
	}
};

int n;
vector<vi> answer;

pair<bool, vi> find_connected(vector<vi> &p) {
	DSU dsu(n);
	rep(i,0,n) rep(j,0,n) 
		if(p[i][j] > 0) dsu.merge(i, j);

	rep(i,0,n) rep(j,0,n)
		if(p[i][j] == 0 && dsu.same(i, j))
			return {false, {}};
	return {true, dsu.dsu}; 
}

pair<bool, vi> find_one_connected(vector<vi> &p) {
	DSU dsu(n);
	rep(i,0,n) rep(j,0,n) 
		if(p[i][j] == 1) dsu.merge(i, j);

	rep(i,0,n) rep(j,0,n)
		if(p[i][j] != 1 && dsu.same(i, j))
			return {false, {}};
	return {true, dsu.dsu}; 
}

int construct(vector<vi> p) {
	n = p.size();
	answer.assign(n, vi(n, 0));
	auto [correct, conn] = find_connected(p);
	if(!correct) return 0;

	auto [one_correct, one_conn] = find_one_connected(p);
	if(!one_correct) return 0;

	rep(i,0,n) {
		if(one_conn[i] == i) continue;
		answer[i][one_conn[i]] = 1;
		answer[one_conn[i]][i] = 1;
	}

	vector<vi> cycles(n);
	rep(i,0,n) if(one_conn[i] == i) 
		cycles[conn[i]].push_back(i);

	rep(i,0,n) {
		if(sz(cycles[i]) == 2) return 0;
		rep(j,1,sz(cycles[i])) {
			answer[cycles[i][j]][cycles[i][j-1]] = true;
			answer[cycles[i][j-1]][cycles[i][j]] = true;
		}
		if(sz(cycles[i]) >= 3) {
			answer[cycles[i].back()][cycles[i][0]] = true;
			answer[cycles[i][0]][cycles[i].back()] = true;
		}
	}

	build(answer);
	return 1;
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 5 ms 1108 KB Output is correct
7 Correct 118 ms 22028 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 5 ms 1108 KB Output is correct
7 Correct 118 ms 22028 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 7 ms 1116 KB Output is correct
13 Correct 115 ms 22084 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 860 KB Output is correct
17 Correct 61 ms 12060 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 37 ms 5920 KB Output is correct
21 Correct 123 ms 22096 KB Output is correct
22 Correct 124 ms 22040 KB Output is correct
23 Correct 138 ms 22024 KB Output is correct
24 Correct 144 ms 22016 KB Output is correct
25 Correct 61 ms 12116 KB Output is correct
26 Correct 55 ms 12116 KB Output is correct
27 Correct 131 ms 22144 KB Output is correct
28 Correct 118 ms 22100 KB Output is correct

Subtask #3
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Correct 1 ms 344 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 6 ms 1372 KB Output is correct
9 Correct 118 ms 24148 KB Output is correct
10 Correct 1 ms 344 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 5 ms 1372 KB Output is correct
13 Correct 141 ms 24072 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 4 ms 932 KB Output is correct
17 Correct 84 ms 14088 KB Output is correct
18 Correct 1 ms 436 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 31 ms 6312 KB Output is correct
22 Correct 134 ms 24056 KB Output is correct
23 Correct 135 ms 24072 KB Output is correct
24 Correct 180 ms 24072 KB Output is correct
25 Correct 94 ms 14164 KB Output is correct
26 Correct 56 ms 14216 KB Output is correct
27 Correct 132 ms 24056 KB Output is correct
28 Correct 137 ms 23928 KB Output is correct
29 Correct 57 ms 14252 KB Output is correct

Subtask #4
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 37 ms 5724 KB Output is correct
5 Correct 140 ms 22140 KB Output is correct
6 Correct 135 ms 22100 KB Output is correct
7 Correct 152 ms 22028 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 33 ms 5776 KB Output is correct
10 Correct 130 ms 22040 KB Output is correct
11 Correct 119 ms 22040 KB Output is correct
12 Correct 128 ms 22036 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 29 ms 5724 KB Output is correct
17 Correct 124 ms 22096 KB Output is correct
18 Correct 121 ms 22096 KB Output is correct
19 Correct 124 ms 22044 KB Output is correct
20 Correct 121 ms 22096 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 5 ms 1108 KB Output is correct
7 Correct 118 ms 22028 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 7 ms 1116 KB Output is correct
13 Correct 115 ms 22084 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 860 KB Output is correct
17 Correct 61 ms 12060 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 37 ms 5920 KB Output is correct
21 Correct 123 ms 22096 KB Output is correct
22 Correct 124 ms 22040 KB Output is correct
23 Correct 138 ms 22024 KB Output is correct
24 Correct 144 ms 22016 KB Output is correct
25 Correct 61 ms 12116 KB Output is correct
26 Correct 55 ms 12116 KB Output is correct
27 Correct 131 ms 22144 KB Output is correct
28 Correct 118 ms 22100 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 6 ms 1372 KB Output is correct
37 Correct 118 ms 24148 KB Output is correct
38 Correct 1 ms 344 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 5 ms 1372 KB Output is correct
41 Correct 141 ms 24072 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 4 ms 932 KB Output is correct
45 Correct 84 ms 14088 KB Output is correct
46 Correct 1 ms 436 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 31 ms 6312 KB Output is correct
50 Correct 134 ms 24056 KB Output is correct
51 Correct 135 ms 24072 KB Output is correct
52 Correct 180 ms 24072 KB Output is correct
53 Correct 94 ms 14164 KB Output is correct
54 Correct 56 ms 14216 KB Output is correct
55 Correct 132 ms 24056 KB Output is correct
56 Correct 137 ms 23928 KB Output is correct
57 Correct 57 ms 14252 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 1 ms 348 KB Output is correct
60 Correct 3 ms 964 KB Output is correct
61 Correct 59 ms 13992 KB Output is correct
62 Correct 0 ms 344 KB Output is correct
63 Correct 0 ms 344 KB Output is correct
64 Correct 0 ms 344 KB Output is correct
65 Correct 31 ms 6264 KB Output is correct
66 Correct 54 ms 14216 KB Output is correct
67 Correct 53 ms 14164 KB Output is correct
68 Correct 55 ms 14420 KB Output is correct
69 Correct 56 ms 14088 KB Output is correct

Subtask #6
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct
5 Correct 1 ms 344 KB Output is correct
6 Correct 5 ms 1108 KB Output is correct
7 Correct 118 ms 22028 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 7 ms 1116 KB Output is correct
13 Correct 115 ms 22084 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 860 KB Output is correct
17 Correct 61 ms 12060 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 37 ms 5920 KB Output is correct
21 Correct 123 ms 22096 KB Output is correct
22 Correct 124 ms 22040 KB Output is correct
23 Correct 138 ms 22024 KB Output is correct
24 Correct 144 ms 22016 KB Output is correct
25 Correct 61 ms 12116 KB Output is correct
26 Correct 55 ms 12116 KB Output is correct
27 Correct 131 ms 22144 KB Output is correct
28 Correct 118 ms 22100 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 344 KB Output is correct
32 Correct 1 ms 348 KB Output is correct
33 Correct 1 ms 348 KB Output is correct
34 Correct 0 ms 348 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 6 ms 1372 KB Output is correct
37 Correct 118 ms 24148 KB Output is correct
38 Correct 1 ms 344 KB Output is correct
39 Correct 1 ms 348 KB Output is correct
40 Correct 5 ms 1372 KB Output is correct
41 Correct 141 ms 24072 KB Output is correct
42 Correct 0 ms 348 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 4 ms 932 KB Output is correct
45 Correct 84 ms 14088 KB Output is correct
46 Correct 1 ms 436 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 31 ms 6312 KB Output is correct
50 Correct 134 ms 24056 KB Output is correct
51 Correct 135 ms 24072 KB Output is correct
52 Correct 180 ms 24072 KB Output is correct
53 Correct 94 ms 14164 KB Output is correct
54 Correct 56 ms 14216 KB Output is correct
55 Correct 132 ms 24056 KB Output is correct
56 Correct 137 ms 23928 KB Output is correct
57 Correct 57 ms 14252 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 0 ms 344 KB Output is correct
61 Correct 37 ms 5724 KB Output is correct
62 Correct 140 ms 22140 KB Output is correct
63 Correct 135 ms 22100 KB Output is correct
64 Correct 152 ms 22028 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 33 ms 5776 KB Output is correct
67 Correct 130 ms 22040 KB Output is correct
68 Correct 119 ms 22040 KB Output is correct
69 Correct 128 ms 22036 KB Output is correct
70 Correct 0 ms 348 KB Output is correct
71 Correct 0 ms 348 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 29 ms 5724 KB Output is correct
74 Correct 124 ms 22096 KB Output is correct
75 Correct 121 ms 22096 KB Output is correct
76 Correct 124 ms 22044 KB Output is correct
77 Correct 121 ms 22096 KB Output is correct
78 Correct 0 ms 348 KB Output is correct
79 Correct 1 ms 348 KB Output is correct
80 Correct 3 ms 964 KB Output is correct
81 Correct 59 ms 13992 KB Output is correct
82 Correct 0 ms 344 KB Output is correct
83 Correct 0 ms 344 KB Output is correct
84 Correct 0 ms 344 KB Output is correct
85 Correct 31 ms 6264 KB Output is correct
86 Correct 54 ms 14216 KB Output is correct
87 Correct 53 ms 14164 KB Output is correct
88 Correct 55 ms 14420 KB Output is correct
89 Correct 56 ms 14088 KB Output is correct
90 Correct 1 ms 348 KB Output is correct
91 Correct 0 ms 348 KB Output is correct
92 Correct 3 ms 860 KB Output is correct
93 Correct 59 ms 14084 KB Output is correct
94 Incorrect 0 ms 348 KB Answer gives possible 1 while actual possible 0
95 Halted 0 ms 0 KB -