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Submission #1034254

# Submission time Handle Problem Language Result Execution time Memory
1034254 2024-07-25T11:20:38 Z Gray Connecting Supertrees (IOI20_supertrees) C++17
100 / 100
 159 ms 28156 KB 
#include "supertrees.h"
#include <cassert>
#include <map>
#include <vector>
 
using namespace std;
 
#define ll long long
#define ff first
#define ss second
#define ln "\n"
#define pll pair<ll, ll>
 
struct DSU{
	vector<int> p;
	int n, cnt;
	DSU(int N){
		n=N;
		cnt=n;
		p.resize(n, -1);
	}
	int get(int x){
		return p[x]==-1?x:p[x]=get(p[x]);
	}
	bool unite(int a, int b){
		a=get(a);
		b=get(b);
		if (a==b) return 0;
		cnt--;
		if (a<b) swap(a, b);
		p[a]=b;
		return 1;
	}
};
 
int construct(std::vector<std::vector<int>> p) {
	int n = (int)p.size();
	DSU tr(n), tr2(n);
	vector<vector<int>> A(n);
	for (int i=0; i<n; i++){
		for (int j=0; j<n; j++){
			if (i!=j and p[i][j]){
				tr.unite(i, j);
				if (p[i][j]==1) tr2.unite(i, j);
			}
		}
	}
	map<int, vector<int>> ccs;
	for (int i=0; i<n; i++){
		// assert(tr.get(i)<tr.cnt);
		ccs[tr.get(i)].push_back(i);
	}
	vector<vector<int>> ans(n, vector<int>(n));
	vector<vector<int>> shadow(n, vector<int>(n));
	for (auto &[_, arr]:ccs){
		map<int, vector<int>> groups;
		for (auto ch:arr){
			groups[tr2.get(ch)].push_back(ch);
		}
		for (ll j=0; j<(int)(arr.size()); j++){
			for (ll k=j+1; k<(int)(arr.size()); k++){
				shadow[arr[j]][arr[k]]=shadow[arr[k]][arr[j]]=2;
			}
		}
		vector<int> circle;
		for (auto &[icc,mem]:groups){
			for (ll j=1; j<(int)mem.size(); j++){
				ans[mem[j]][mem[j-1]]=ans[mem[j-1]][mem[j]]=1;
			}
			for (ll j=0; j<(int)mem.size(); j++){
				for (ll k=j+1; k<(int)mem.size(); k++){
					shadow[mem[j]][mem[k]]=shadow[mem[k]][mem[j]]=1;
				}
			}
			circle.push_back(mem[0]);
		}
		if (circle.size()==1) continue;
		if (circle.size()==2){
			return 0;
		}
		for (ll j=0; j<(int)circle.size(); j++){
			int nxt = (j+1)%(int)(circle.size());
			ans[circle[j]][circle[nxt]]=ans[circle[nxt]][circle[j]]=1;
		}
	}
	for (ll i=0; i<n; i++){
		for (ll j=0; j<n; j++){
			if ((i!=j and p[i][j]!=shadow[i][j]) or p[i][j]==3){
				return 0;
			}
		}
	}
	build(ans);
	return 1;
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 10 ms 1464 KB Output is correct
7 Correct 125 ms 25960 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 10 ms 1464 KB Output is correct
7 Correct 125 ms 25960 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 5 ms 1372 KB Output is correct
13 Correct 121 ms 26012 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 860 KB Output is correct
17 Correct 69 ms 16140 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 30 ms 6688 KB Output is correct
21 Correct 135 ms 26116 KB Output is correct
22 Correct 111 ms 26108 KB Output is correct
23 Correct 122 ms 25936 KB Output is correct
24 Correct 122 ms 26192 KB Output is correct
25 Correct 57 ms 16120 KB Output is correct
26 Correct 95 ms 16208 KB Output is correct
27 Correct 143 ms 26124 KB Output is correct
28 Correct 116 ms 26124 KB Output is correct

Subtask #3
19.0 / 19.0

# 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 0 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 5 ms 1372 KB Output is correct
9 Correct 150 ms 28156 KB Output is correct
10 Correct 0 ms 344 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 5 ms 1456 KB Output is correct
13 Correct 131 ms 28068 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 4 ms 1168 KB Output is correct
17 Correct 65 ms 18256 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 29 ms 7236 KB Output is correct
22 Correct 120 ms 28016 KB Output is correct
23 Correct 141 ms 27984 KB Output is correct
24 Correct 132 ms 27892 KB Output is correct
25 Correct 96 ms 18256 KB Output is correct
26 Correct 56 ms 18000 KB Output is correct
27 Correct 159 ms 28132 KB Output is correct
28 Correct 124 ms 27884 KB Output is correct
29 Correct 69 ms 18172 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 1 ms 348 KB Output is correct
4 Correct 49 ms 6744 KB Output is correct
5 Correct 126 ms 25996 KB Output is correct
6 Correct 155 ms 26196 KB Output is correct
7 Correct 137 ms 26120 KB Output is correct
8 Correct 1 ms 348 KB Output is correct
9 Correct 55 ms 6812 KB Output is correct
10 Correct 134 ms 26124 KB Output is correct
11 Correct 145 ms 25936 KB Output is correct
12 Correct 122 ms 25936 KB Output is correct
13 Correct 0 ms 344 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 26 ms 6796 KB Output is correct
17 Correct 106 ms 26020 KB Output is correct
18 Correct 121 ms 25936 KB Output is correct
19 Correct 110 ms 25940 KB Output is correct
20 Correct 128 ms 26192 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 10 ms 1464 KB Output is correct
7 Correct 125 ms 25960 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 5 ms 1372 KB Output is correct
13 Correct 121 ms 26012 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 860 KB Output is correct
17 Correct 69 ms 16140 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 30 ms 6688 KB Output is correct
21 Correct 135 ms 26116 KB Output is correct
22 Correct 111 ms 26108 KB Output is correct
23 Correct 122 ms 25936 KB Output is correct
24 Correct 122 ms 26192 KB Output is correct
25 Correct 57 ms 16120 KB Output is correct
26 Correct 95 ms 16208 KB Output is correct
27 Correct 143 ms 26124 KB Output is correct
28 Correct 116 ms 26124 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 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 5 ms 1372 KB Output is correct
37 Correct 150 ms 28156 KB Output is correct
38 Correct 0 ms 344 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 5 ms 1456 KB Output is correct
41 Correct 131 ms 28068 KB Output is correct
42 Correct 0 ms 344 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 4 ms 1168 KB Output is correct
45 Correct 65 ms 18256 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 29 ms 7236 KB Output is correct
50 Correct 120 ms 28016 KB Output is correct
51 Correct 141 ms 27984 KB Output is correct
52 Correct 132 ms 27892 KB Output is correct
53 Correct 96 ms 18256 KB Output is correct
54 Correct 56 ms 18000 KB Output is correct
55 Correct 159 ms 28132 KB Output is correct
56 Correct 124 ms 27884 KB Output is correct
57 Correct 69 ms 18172 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 344 KB Output is correct
60 Correct 5 ms 1116 KB Output is correct
61 Correct 66 ms 18004 KB Output is correct
62 Correct 1 ms 348 KB Output is correct
63 Correct 1 ms 348 KB Output is correct
64 Correct 1 ms 344 KB Output is correct
65 Correct 39 ms 7228 KB Output is correct
66 Correct 53 ms 18048 KB Output is correct
67 Correct 53 ms 18000 KB Output is correct
68 Correct 52 ms 18004 KB Output is correct
69 Correct 52 ms 18260 KB Output is correct

Subtask #6
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 10 ms 1464 KB Output is correct
7 Correct 125 ms 25960 KB Output is correct
8 Correct 0 ms 344 KB Output is correct
9 Correct 0 ms 344 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 5 ms 1372 KB Output is correct
13 Correct 121 ms 26012 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 860 KB Output is correct
17 Correct 69 ms 16140 KB Output is correct
18 Correct 0 ms 344 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 30 ms 6688 KB Output is correct
21 Correct 135 ms 26116 KB Output is correct
22 Correct 111 ms 26108 KB Output is correct
23 Correct 122 ms 25936 KB Output is correct
24 Correct 122 ms 26192 KB Output is correct
25 Correct 57 ms 16120 KB Output is correct
26 Correct 95 ms 16208 KB Output is correct
27 Correct 143 ms 26124 KB Output is correct
28 Correct 116 ms 26124 KB Output is correct
29 Correct 0 ms 348 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 348 KB Output is correct
32 Correct 0 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 5 ms 1372 KB Output is correct
37 Correct 150 ms 28156 KB Output is correct
38 Correct 0 ms 344 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 5 ms 1456 KB Output is correct
41 Correct 131 ms 28068 KB Output is correct
42 Correct 0 ms 344 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 4 ms 1168 KB Output is correct
45 Correct 65 ms 18256 KB Output is correct
46 Correct 0 ms 348 KB Output is correct
47 Correct 0 ms 348 KB Output is correct
48 Correct 0 ms 348 KB Output is correct
49 Correct 29 ms 7236 KB Output is correct
50 Correct 120 ms 28016 KB Output is correct
51 Correct 141 ms 27984 KB Output is correct
52 Correct 132 ms 27892 KB Output is correct
53 Correct 96 ms 18256 KB Output is correct
54 Correct 56 ms 18000 KB Output is correct
55 Correct 159 ms 28132 KB Output is correct
56 Correct 124 ms 27884 KB Output is correct
57 Correct 69 ms 18172 KB Output is correct
58 Correct 0 ms 348 KB Output is correct
59 Correct 0 ms 348 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 49 ms 6744 KB Output is correct
62 Correct 126 ms 25996 KB Output is correct
63 Correct 155 ms 26196 KB Output is correct
64 Correct 137 ms 26120 KB Output is correct
65 Correct 1 ms 348 KB Output is correct
66 Correct 55 ms 6812 KB Output is correct
67 Correct 134 ms 26124 KB Output is correct
68 Correct 145 ms 25936 KB Output is correct
69 Correct 122 ms 25936 KB Output is correct
70 Correct 0 ms 344 KB Output is correct
71 Correct 0 ms 348 KB Output is correct
72 Correct 0 ms 348 KB Output is correct
73 Correct 26 ms 6796 KB Output is correct
74 Correct 106 ms 26020 KB Output is correct
75 Correct 121 ms 25936 KB Output is correct
76 Correct 110 ms 25940 KB Output is correct
77 Correct 128 ms 26192 KB Output is correct
78 Correct 0 ms 348 KB Output is correct
79 Correct 0 ms 344 KB Output is correct
80 Correct 5 ms 1116 KB Output is correct
81 Correct 66 ms 18004 KB Output is correct
82 Correct 1 ms 348 KB Output is correct
83 Correct 1 ms 348 KB Output is correct
84 Correct 1 ms 344 KB Output is correct
85 Correct 39 ms 7228 KB Output is correct
86 Correct 53 ms 18048 KB Output is correct
87 Correct 53 ms 18000 KB Output is correct
88 Correct 52 ms 18004 KB Output is correct
89 Correct 52 ms 18260 KB Output is correct
90 Correct 0 ms 344 KB Output is correct
91 Correct 0 ms 348 KB Output is correct
92 Correct 3 ms 1116 KB Output is correct
93 Correct 65 ms 18004 KB Output is correct
94 Correct 0 ms 348 KB Output is correct
95 Correct 0 ms 348 KB Output is correct
96 Correct 0 ms 348 KB Output is correct
97 Correct 14 ms 4856 KB Output is correct
98 Correct 62 ms 18000 KB Output is correct
99 Correct 53 ms 18004 KB Output is correct
100 Correct 52 ms 18000 KB Output is correct
101 Correct 62 ms 18260 KB Output is correct
102 Correct 75 ms 18296 KB Output is correct
103 Correct 55 ms 18176 KB Output is correct
104 Correct 61 ms 18048 KB Output is correct
105 Correct 69 ms 18256 KB Output is correct