Submission #947737

# Submission time Handle Problem Language Result Execution time Memory
947737 2024-03-17T01:15:03 Z biank Connecting Supertrees (IOI20_supertrees) C++14
100 / 100
190 ms 24256 KB
#include "supertrees.h"
#include <bits/stdc++.h>

using namespace std;

#define sz(x) int(x.size())
#define all(x) begin(x), end(x)

using vi = vector<int>;

struct DSU {
    vi par;
    DSU(int n) {
        par.resize(n);
        for (int i = 0; i < n; i++) {
            par[i] = i;
        }
    }
    int find(int x) {
        if (par[x] != x) {
            par[x] = find(par[x]);
        }
        return par[x];
    }
    bool unite(int x, int y) {
        x = find(x), y = find(y);
        if (x == y) return false;
        par[x] = y;
        return true;
    }
};

int construct(vector<vi> p) {
    int n = sz(p);
	vector<vi> b(n, vi(n, 0));
    DSU dsu(n), dsuCmp(n);
    for (int i = 0; i < n; i++) {
        for (int j = i + 1; j < n; j++) {
            if (p[i][j] != 0) {
                dsuCmp.unite(i, j);
            }
            if (p[i][j] == 1) {
                b[i][j] = b[j][i] = dsu.unite(i, j);
            }
        }
    }
	
	vector<set<int>> groups(n);
	for (int i = 0; i < n; i++) {
        groups[dsuCmp.find(i)].insert(dsu.find(i));
	}
	
	for (int i = 0; i < n; i++) {
		vi g(all(groups[i]));
		int m = sz(g);
        if (m < 2) continue;
		if (m == 2) return false;
        auto next = [&](int j) {
            if (++j == m) j = 0;
            return j;
        };
		for (int j = 0; j < m; j++) {
            b[g[j]][g[next(j)]] = b[g[next(j)]][g[j]] = 1;
        }
	}
	
	for (int i = 0; i < n; i++) {
		for (int j = i + 1; j < n; j++) {
			if (p[i][j] != 1 && dsu.find(i) == dsu.find(j)) {
				return false;
			}
			if (p[i][j] != 2 && p[i][j] != 0 && dsu.find(i) != dsu.find(j)) {
				return false;
			}
			if (p[i][j] == 0 && dsuCmp.find(i) == dsuCmp.find(j)) {
				return false;
			}
		}
	}
	
	build(b);
	return true;
}
# 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 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 7 ms 1368 KB Output is correct
7 Correct 151 ms 24052 KB Output is correct
# 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 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 7 ms 1368 KB Output is correct
7 Correct 151 ms 24052 KB Output is correct
8 Correct 1 ms 344 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 6 ms 1372 KB Output is correct
13 Correct 160 ms 24060 KB Output is correct
14 Correct 1 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 69 ms 14072 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 39 ms 6228 KB Output is correct
21 Correct 160 ms 24144 KB Output is correct
22 Correct 170 ms 24188 KB Output is correct
23 Correct 155 ms 24144 KB Output is correct
24 Correct 173 ms 24188 KB Output is correct
25 Correct 62 ms 14264 KB Output is correct
26 Correct 62 ms 14164 KB Output is correct
27 Correct 156 ms 24128 KB Output is correct
28 Correct 177 ms 24148 KB Output is correct
# 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 436 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 7 ms 1372 KB Output is correct
9 Correct 158 ms 24188 KB Output is correct
10 Correct 1 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 6 ms 1372 KB Output is correct
13 Correct 160 ms 24256 KB Output is correct
14 Correct 1 ms 544 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 3 ms 860 KB Output is correct
17 Correct 70 ms 14300 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 38 ms 6228 KB Output is correct
22 Correct 150 ms 24116 KB Output is correct
23 Correct 150 ms 24184 KB Output is correct
24 Correct 153 ms 24144 KB Output is correct
25 Correct 61 ms 14164 KB Output is correct
26 Correct 63 ms 14416 KB Output is correct
27 Correct 151 ms 24068 KB Output is correct
28 Correct 152 ms 24216 KB Output is correct
29 Correct 62 ms 14084 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 38 ms 6316 KB Output is correct
5 Correct 149 ms 23952 KB Output is correct
6 Correct 190 ms 24064 KB Output is correct
7 Correct 161 ms 24056 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 38 ms 6236 KB Output is correct
10 Correct 153 ms 24196 KB Output is correct
11 Correct 152 ms 24236 KB Output is correct
12 Correct 153 ms 24148 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 344 KB Output is correct
15 Correct 1 ms 348 KB Output is correct
16 Correct 40 ms 6228 KB Output is correct
17 Correct 149 ms 24216 KB Output is correct
18 Correct 153 ms 24100 KB Output is correct
19 Correct 154 ms 23980 KB Output is correct
20 Correct 149 ms 24144 KB Output is correct
# 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 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 7 ms 1368 KB Output is correct
7 Correct 151 ms 24052 KB Output is correct
8 Correct 1 ms 344 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 6 ms 1372 KB Output is correct
13 Correct 160 ms 24060 KB Output is correct
14 Correct 1 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 69 ms 14072 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 39 ms 6228 KB Output is correct
21 Correct 160 ms 24144 KB Output is correct
22 Correct 170 ms 24188 KB Output is correct
23 Correct 155 ms 24144 KB Output is correct
24 Correct 173 ms 24188 KB Output is correct
25 Correct 62 ms 14264 KB Output is correct
26 Correct 62 ms 14164 KB Output is correct
27 Correct 156 ms 24128 KB Output is correct
28 Correct 177 ms 24148 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 436 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 344 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 7 ms 1372 KB Output is correct
37 Correct 158 ms 24188 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 6 ms 1372 KB Output is correct
41 Correct 160 ms 24256 KB Output is correct
42 Correct 1 ms 544 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 3 ms 860 KB Output is correct
45 Correct 70 ms 14300 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 38 ms 6228 KB Output is correct
50 Correct 150 ms 24116 KB Output is correct
51 Correct 150 ms 24184 KB Output is correct
52 Correct 153 ms 24144 KB Output is correct
53 Correct 61 ms 14164 KB Output is correct
54 Correct 63 ms 14416 KB Output is correct
55 Correct 151 ms 24068 KB Output is correct
56 Correct 152 ms 24216 KB Output is correct
57 Correct 62 ms 14084 KB Output is correct
58 Correct 1 ms 348 KB Output is correct
59 Correct 0 ms 344 KB Output is correct
60 Correct 3 ms 860 KB Output is correct
61 Correct 68 ms 14088 KB Output is correct
62 Correct 0 ms 348 KB Output is correct
63 Correct 0 ms 348 KB Output is correct
64 Correct 0 ms 348 KB Output is correct
65 Correct 42 ms 6376 KB Output is correct
66 Correct 62 ms 14092 KB Output is correct
67 Correct 64 ms 14216 KB Output is correct
68 Correct 63 ms 14160 KB Output is correct
69 Correct 61 ms 14348 KB Output is correct
# 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 0 ms 344 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 7 ms 1368 KB Output is correct
7 Correct 151 ms 24052 KB Output is correct
8 Correct 1 ms 344 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 6 ms 1372 KB Output is correct
13 Correct 160 ms 24060 KB Output is correct
14 Correct 1 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 69 ms 14072 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 344 KB Output is correct
20 Correct 39 ms 6228 KB Output is correct
21 Correct 160 ms 24144 KB Output is correct
22 Correct 170 ms 24188 KB Output is correct
23 Correct 155 ms 24144 KB Output is correct
24 Correct 173 ms 24188 KB Output is correct
25 Correct 62 ms 14264 KB Output is correct
26 Correct 62 ms 14164 KB Output is correct
27 Correct 156 ms 24128 KB Output is correct
28 Correct 177 ms 24148 KB Output is correct
29 Correct 0 ms 344 KB Output is correct
30 Correct 0 ms 348 KB Output is correct
31 Correct 0 ms 436 KB Output is correct
32 Correct 0 ms 348 KB Output is correct
33 Correct 0 ms 348 KB Output is correct
34 Correct 0 ms 344 KB Output is correct
35 Correct 0 ms 348 KB Output is correct
36 Correct 7 ms 1372 KB Output is correct
37 Correct 158 ms 24188 KB Output is correct
38 Correct 1 ms 348 KB Output is correct
39 Correct 0 ms 348 KB Output is correct
40 Correct 6 ms 1372 KB Output is correct
41 Correct 160 ms 24256 KB Output is correct
42 Correct 1 ms 544 KB Output is correct
43 Correct 0 ms 348 KB Output is correct
44 Correct 3 ms 860 KB Output is correct
45 Correct 70 ms 14300 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 38 ms 6228 KB Output is correct
50 Correct 150 ms 24116 KB Output is correct
51 Correct 150 ms 24184 KB Output is correct
52 Correct 153 ms 24144 KB Output is correct
53 Correct 61 ms 14164 KB Output is correct
54 Correct 63 ms 14416 KB Output is correct
55 Correct 151 ms 24068 KB Output is correct
56 Correct 152 ms 24216 KB Output is correct
57 Correct 62 ms 14084 KB Output is correct
58 Correct 1 ms 348 KB Output is correct
59 Correct 0 ms 344 KB Output is correct
60 Correct 1 ms 348 KB Output is correct
61 Correct 38 ms 6316 KB Output is correct
62 Correct 149 ms 23952 KB Output is correct
63 Correct 190 ms 24064 KB Output is correct
64 Correct 161 ms 24056 KB Output is correct
65 Correct 0 ms 348 KB Output is correct
66 Correct 38 ms 6236 KB Output is correct
67 Correct 153 ms 24196 KB Output is correct
68 Correct 152 ms 24236 KB Output is correct
69 Correct 153 ms 24148 KB Output is correct
70 Correct 0 ms 348 KB Output is correct
71 Correct 0 ms 344 KB Output is correct
72 Correct 1 ms 348 KB Output is correct
73 Correct 40 ms 6228 KB Output is correct
74 Correct 149 ms 24216 KB Output is correct
75 Correct 153 ms 24100 KB Output is correct
76 Correct 154 ms 23980 KB Output is correct
77 Correct 149 ms 24144 KB Output is correct
78 Correct 1 ms 348 KB Output is correct
79 Correct 0 ms 344 KB Output is correct
80 Correct 3 ms 860 KB Output is correct
81 Correct 68 ms 14088 KB Output is correct
82 Correct 0 ms 348 KB Output is correct
83 Correct 0 ms 348 KB Output is correct
84 Correct 0 ms 348 KB Output is correct
85 Correct 42 ms 6376 KB Output is correct
86 Correct 62 ms 14092 KB Output is correct
87 Correct 64 ms 14216 KB Output is correct
88 Correct 63 ms 14160 KB Output is correct
89 Correct 61 ms 14348 KB Output is correct
90 Correct 0 ms 348 KB Output is correct
91 Correct 1 ms 544 KB Output is correct
92 Correct 3 ms 856 KB Output is correct
93 Correct 80 ms 14204 KB Output is correct
94 Correct 0 ms 344 KB Output is correct
95 Correct 0 ms 348 KB Output is correct
96 Correct 0 ms 344 KB Output is correct
97 Correct 17 ms 3756 KB Output is correct
98 Correct 63 ms 14072 KB Output is correct
99 Correct 62 ms 14160 KB Output is correct
100 Correct 61 ms 14148 KB Output is correct
101 Correct 61 ms 14164 KB Output is correct
102 Correct 63 ms 14256 KB Output is correct
103 Correct 63 ms 14160 KB Output is correct
104 Correct 72 ms 14076 KB Output is correct
105 Correct 67 ms 14160 KB Output is correct