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Submission #573545

# Submission time Handle Problem Language Result Execution time Memory
573545 2022-06-06T19:23:58 Z fuad27 Connecting Supertrees (IOI20_supertrees) C++17
100 / 100
 213 ms 24032 KB 
#include "supertrees.h"
#include<bits/stdc++.h>
using namespace std;
struct DSU {
	vector<int> e;
	DSU(int N) { e = vector<int>(N, -1); }
	int get(int x) { return e[x] < 0 ? x : e[x] = get(e[x]); }
	bool same_set(int a, int b) { return get(a) == get(b); }
	int size(int x) { return -e[get(x)]; }
	bool unite(int x, int y) {
		x = get(x), y = get(y);
		if (x == y) return false;
		if (e[x] > e[y]) swap(x, y);
		e[x] += e[y]; e[y] = x; return true;
	}
};
int construct(vector<vector<int>> p) {
	int n = p.size();
	vector<int> cycle[n+1];
	vector<vector<int>> ans(n, vector<int> (n));
	DSU dsu = DSU(n);
	for(int i = 0;i<n;i++) {
		for(int j = 0;j<n;j++) {
			if(p[i][j] == 3 or p[i][j]!=p[j][i])return 0;
			if(p[i][j]==1)dsu.unite(i,j);
		}
	}
	for(int i = 0;i<n;i++)
		for(int j = 0;j<n;j++)
			if(p[i][j]!=p[dsu.get(i)][dsu.get(j)])return 0;
	vector<int> trees;
	for(int i = 0;i<n;i++) {
		int c = dsu.get(i);
		if(c == i)
			trees.push_back(i);
		else ans[i][c]=ans[c][i]=1;
	}
	dsu = DSU(n);
	for(int i:trees) {
		for(int j:trees) {
			if(p[i][j]==2)dsu.unite(i,j);
		}
	}
	for(int i:trees) {
		if(2<=(int)dsu.size(i)) {
			cycle[dsu.get(i)].push_back(i);
		}
	}
	for(int i = 0;i < n;i++) {
		if(!cycle[i].size())continue;
		if((int)cycle[i].size()==2)return 0;
		for(int j:cycle[i]) {
			for(int k:cycle[i]) {
				if(j==k)continue;
				if(p[j][k]!=2)return 0;
			}
		}
		for(int j = 0;j<(int)cycle[i].size()-1;j++) {
			ans[cycle[i][j]][cycle[i][j+1]]=1;
			ans[cycle[i][j+1]][cycle[i][j]]=1;
		}
		ans[cycle[i][0]][cycle[i].back()]=1;
		ans[cycle[i].back()][cycle[i][0]]=1;
	}
	build(ans);
	return 1;
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 300 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 300 KB Output is correct
6 Correct 8 ms 1176 KB Output is correct
7 Correct 181 ms 23920 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 300 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 300 KB Output is correct
6 Correct 8 ms 1176 KB Output is correct
7 Correct 181 ms 23920 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 300 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 12 ms 1208 KB Output is correct
13 Correct 179 ms 23948 KB Output is correct
14 Correct 0 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 4 ms 820 KB Output is correct
17 Correct 103 ms 14080 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 300 KB Output is correct
20 Correct 51 ms 6256 KB Output is correct
21 Correct 211 ms 23992 KB Output is correct
22 Correct 194 ms 23944 KB Output is correct
23 Correct 213 ms 23936 KB Output is correct
24 Correct 188 ms 24008 KB Output is correct
25 Correct 78 ms 14084 KB Output is correct
26 Correct 73 ms 14028 KB Output is correct
27 Correct 187 ms 24028 KB Output is correct
28 Correct 177 ms 24012 KB Output is correct

Subtask #3
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 8 ms 1236 KB Output is correct
9 Correct 176 ms 23932 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 1 ms 212 KB Output is correct
12 Correct 8 ms 1276 KB Output is correct
13 Correct 188 ms 23924 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 0 ms 212 KB Output is correct
16 Correct 5 ms 852 KB Output is correct
17 Correct 92 ms 14076 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 1 ms 300 KB Output is correct
21 Correct 47 ms 6228 KB Output is correct
22 Correct 182 ms 23944 KB Output is correct
23 Correct 176 ms 23936 KB Output is correct
24 Correct 186 ms 23936 KB Output is correct
25 Correct 77 ms 14028 KB Output is correct
26 Correct 80 ms 14064 KB Output is correct
27 Correct 185 ms 24008 KB Output is correct
28 Correct 196 ms 24032 KB Output is correct
29 Correct 76 ms 13996 KB Output is correct

Subtask #4
35.0 / 35.0

# 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 46 ms 6220 KB Output is correct
5 Correct 176 ms 23928 KB Output is correct
6 Correct 176 ms 23920 KB Output is correct
7 Correct 186 ms 23932 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 46 ms 6216 KB Output is correct
10 Correct 172 ms 23968 KB Output is correct
11 Correct 169 ms 24012 KB Output is correct
12 Correct 192 ms 23932 KB Output is correct
13 Correct 0 ms 212 KB Output is correct
14 Correct 1 ms 212 KB Output is correct
15 Correct 1 ms 296 KB Output is correct
16 Correct 45 ms 6220 KB Output is correct
17 Correct 180 ms 23984 KB Output is correct
18 Correct 180 ms 23932 KB Output is correct
19 Correct 181 ms 23924 KB Output is correct
20 Correct 174 ms 23980 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 300 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 300 KB Output is correct
6 Correct 8 ms 1176 KB Output is correct
7 Correct 181 ms 23920 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 300 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 12 ms 1208 KB Output is correct
13 Correct 179 ms 23948 KB Output is correct
14 Correct 0 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 4 ms 820 KB Output is correct
17 Correct 103 ms 14080 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 300 KB Output is correct
20 Correct 51 ms 6256 KB Output is correct
21 Correct 211 ms 23992 KB Output is correct
22 Correct 194 ms 23944 KB Output is correct
23 Correct 213 ms 23936 KB Output is correct
24 Correct 188 ms 24008 KB Output is correct
25 Correct 78 ms 14084 KB Output is correct
26 Correct 73 ms 14028 KB Output is correct
27 Correct 187 ms 24028 KB Output is correct
28 Correct 177 ms 24012 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 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 212 KB Output is correct
36 Correct 8 ms 1236 KB Output is correct
37 Correct 176 ms 23932 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 8 ms 1276 KB Output is correct
41 Correct 188 ms 23924 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 5 ms 852 KB Output is correct
45 Correct 92 ms 14076 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 1 ms 300 KB Output is correct
49 Correct 47 ms 6228 KB Output is correct
50 Correct 182 ms 23944 KB Output is correct
51 Correct 176 ms 23936 KB Output is correct
52 Correct 186 ms 23936 KB Output is correct
53 Correct 77 ms 14028 KB Output is correct
54 Correct 80 ms 14064 KB Output is correct
55 Correct 185 ms 24008 KB Output is correct
56 Correct 196 ms 24032 KB Output is correct
57 Correct 76 ms 13996 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 820 KB Output is correct
61 Correct 86 ms 14068 KB Output is correct
62 Correct 0 ms 212 KB Output is correct
63 Correct 1 ms 304 KB Output is correct
64 Correct 0 ms 212 KB Output is correct
65 Correct 49 ms 6252 KB Output is correct
66 Correct 75 ms 14028 KB Output is correct
67 Correct 77 ms 14064 KB Output is correct
68 Correct 79 ms 14076 KB Output is correct
69 Correct 77 ms 14068 KB Output is correct

Subtask #6
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 300 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 300 KB Output is correct
6 Correct 8 ms 1176 KB Output is correct
7 Correct 181 ms 23920 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 300 KB Output is correct
10 Correct 1 ms 212 KB Output is correct
11 Correct 0 ms 212 KB Output is correct
12 Correct 12 ms 1208 KB Output is correct
13 Correct 179 ms 23948 KB Output is correct
14 Correct 0 ms 300 KB Output is correct
15 Correct 1 ms 212 KB Output is correct
16 Correct 4 ms 820 KB Output is correct
17 Correct 103 ms 14080 KB Output is correct
18 Correct 1 ms 212 KB Output is correct
19 Correct 1 ms 300 KB Output is correct
20 Correct 51 ms 6256 KB Output is correct
21 Correct 211 ms 23992 KB Output is correct
22 Correct 194 ms 23944 KB Output is correct
23 Correct 213 ms 23936 KB Output is correct
24 Correct 188 ms 24008 KB Output is correct
25 Correct 78 ms 14084 KB Output is correct
26 Correct 73 ms 14028 KB Output is correct
27 Correct 187 ms 24028 KB Output is correct
28 Correct 177 ms 24012 KB Output is correct
29 Correct 1 ms 212 KB Output is correct
30 Correct 0 ms 212 KB Output is correct
31 Correct 0 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 212 KB Output is correct
36 Correct 8 ms 1236 KB Output is correct
37 Correct 176 ms 23932 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 1 ms 212 KB Output is correct
40 Correct 8 ms 1276 KB Output is correct
41 Correct 188 ms 23924 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 0 ms 212 KB Output is correct
44 Correct 5 ms 852 KB Output is correct
45 Correct 92 ms 14076 KB Output is correct
46 Correct 1 ms 212 KB Output is correct
47 Correct 0 ms 212 KB Output is correct
48 Correct 1 ms 300 KB Output is correct
49 Correct 47 ms 6228 KB Output is correct
50 Correct 182 ms 23944 KB Output is correct
51 Correct 176 ms 23936 KB Output is correct
52 Correct 186 ms 23936 KB Output is correct
53 Correct 77 ms 14028 KB Output is correct
54 Correct 80 ms 14064 KB Output is correct
55 Correct 185 ms 24008 KB Output is correct
56 Correct 196 ms 24032 KB Output is correct
57 Correct 76 ms 13996 KB Output is correct
58 Correct 0 ms 212 KB Output is correct
59 Correct 0 ms 212 KB Output is correct
60 Correct 0 ms 212 KB Output is correct
61 Correct 46 ms 6220 KB Output is correct
62 Correct 176 ms 23928 KB Output is correct
63 Correct 176 ms 23920 KB Output is correct
64 Correct 186 ms 23932 KB Output is correct
65 Correct 1 ms 212 KB Output is correct
66 Correct 46 ms 6216 KB Output is correct
67 Correct 172 ms 23968 KB Output is correct
68 Correct 169 ms 24012 KB Output is correct
69 Correct 192 ms 23932 KB Output is correct
70 Correct 0 ms 212 KB Output is correct
71 Correct 1 ms 212 KB Output is correct
72 Correct 1 ms 296 KB Output is correct
73 Correct 45 ms 6220 KB Output is correct
74 Correct 180 ms 23984 KB Output is correct
75 Correct 180 ms 23932 KB Output is correct
76 Correct 181 ms 23924 KB Output is correct
77 Correct 174 ms 23980 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 820 KB Output is correct
81 Correct 86 ms 14068 KB Output is correct
82 Correct 0 ms 212 KB Output is correct
83 Correct 1 ms 304 KB Output is correct
84 Correct 0 ms 212 KB Output is correct
85 Correct 49 ms 6252 KB Output is correct
86 Correct 75 ms 14028 KB Output is correct
87 Correct 77 ms 14064 KB Output is correct
88 Correct 79 ms 14076 KB Output is correct
89 Correct 77 ms 14068 KB Output is correct
90 Correct 1 ms 212 KB Output is correct
91 Correct 1 ms 212 KB Output is correct
92 Correct 3 ms 852 KB Output is correct
93 Correct 77 ms 14076 KB Output is correct
94 Correct 0 ms 212 KB Output is correct
95 Correct 0 ms 212 KB Output is correct
96 Correct 1 ms 212 KB Output is correct
97 Correct 19 ms 3668 KB Output is correct
98 Correct 78 ms 14004 KB Output is correct
99 Correct 74 ms 14080 KB Output is correct
100 Correct 72 ms 14028 KB Output is correct
101 Correct 75 ms 14076 KB Output is correct
102 Correct 71 ms 14072 KB Output is correct
103 Correct 76 ms 14028 KB Output is correct
104 Correct 75 ms 14068 KB Output is correct
105 Correct 81 ms 14072 KB Output is correct