Submission #412636

# Submission time Handle Problem Language Result Execution time Memory
412636 2021-05-27T08:55:36 Z dynam1c Connecting Supertrees (IOI20_supertrees) C++17
100 / 100
291 ms 24004 KB
#include "supertrees.h"
#include <bits/stdc++.h>
using namespace std;
#define all(x) x.begin(),x.end()
#define endl "\n"
typedef long long ll;

struct DSU {
	int n;
	vector<int> link, sz;
	DSU(int n) : n(n), link(n), sz(n, 1) {
		iota(all(link), 0);
	}
	int find(int x) {
		return link[x] == x ? x : link[x] = find(link[x]);
	}
	bool unite(int x, int y) {
		x = find(x), y = find(y);
		if (x == y) return false;
		if (sz[x] < sz[y]) swap(x, y);
		link[y] = x;
		sz[x] += sz[y];
		return true;
	}
};

int construct(std::vector<std::vector<int>> p) {
	int n = p.size();
	vector<vector<int>> ans(n, vector<int>(n));
	DSU dsu1(n), dsu2(n);
	for (int i = 0; i < n; i++)
		for (int j = i+1; j < n; j++)
			if (p[i][j] == 1)
				if (dsu1.unite(i, j))
					ans[i][j] = 1, ans[j][i] = 1;
	for (int i = 0; i < n; i++)
		for (int j = i+1; j < n; j++)
			if (p[i][j] == 2)
				dsu2.unite(dsu1.find(i), dsu1.find(j));
	
	for (int i = 0; i < n; i++) {
		int p = -1;
		int f = -1;
		int c = 0;
		for (int j = 0; j < n; j++)
			if (dsu2.find(j) == i) {
				c++;
				if (f == -1)
					f = j;
				if (p != -1)
					ans[j][p] = 1, ans[p][j] = 1;
				p = j;
			}
		if (c == 2)
			return 0;
		if (f != p)
			ans[f][p] = 1, ans[p][f] = 1;
	}

	for (int i = 0; i < n; i++)
		for (int j = i+1; j < n; j++) {
			if (p[i][j] == 0 and (dsu1.find(i) == dsu1.find(j) or dsu2.find(dsu1.find(i)) == dsu2.find(dsu1.find(j))))
				return 0;
			if (p[i][j] == 1 and dsu1.find(i) != dsu1.find(j))
				return 0;
			if (p[i][j] == 2 and (dsu1.find(i) == dsu1.find(j) or dsu2.find(dsu1.find(i)) != dsu2.find(dsu1.find(j))))
				return 0;
			if (p[i][j] == 3)
				return 0;
		}
	build(ans);
	return 1;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 12 ms 1128 KB Output is correct
7 Correct 248 ms 22056 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 12 ms 1128 KB Output is correct
7 Correct 248 ms 22056 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 11 ms 1100 KB Output is correct
13 Correct 238 ms 22056 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 5 ms 716 KB Output is correct
17 Correct 129 ms 12032 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 60 ms 5760 KB Output is correct
21 Correct 256 ms 22088 KB Output is correct
22 Correct 239 ms 22028 KB Output is correct
23 Correct 253 ms 21972 KB Output is correct
24 Correct 251 ms 22052 KB Output is correct
25 Correct 105 ms 12040 KB Output is correct
26 Correct 109 ms 12040 KB Output is correct
27 Correct 262 ms 21992 KB Output is correct
28 Correct 243 ms 22044 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 13 ms 1200 KB Output is correct
9 Correct 240 ms 23988 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 11 ms 1168 KB Output is correct
13 Correct 251 ms 23912 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 6 ms 764 KB Output is correct
17 Correct 131 ms 14060 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 292 KB Output is correct
20 Correct 1 ms 204 KB Output is correct
21 Correct 60 ms 6256 KB Output is correct
22 Correct 249 ms 23972 KB Output is correct
23 Correct 247 ms 23984 KB Output is correct
24 Correct 256 ms 23928 KB Output is correct
25 Correct 107 ms 14020 KB Output is correct
26 Correct 117 ms 14076 KB Output is correct
27 Correct 242 ms 23972 KB Output is correct
28 Correct 257 ms 24004 KB Output is correct
29 Correct 101 ms 14060 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 61 ms 5744 KB Output is correct
5 Correct 244 ms 22020 KB Output is correct
6 Correct 249 ms 22084 KB Output is correct
7 Correct 258 ms 22028 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 59 ms 5764 KB Output is correct
10 Correct 242 ms 22024 KB Output is correct
11 Correct 291 ms 22044 KB Output is correct
12 Correct 269 ms 22212 KB Output is correct
13 Correct 1 ms 204 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 60 ms 5692 KB Output is correct
17 Correct 253 ms 22020 KB Output is correct
18 Correct 255 ms 21996 KB Output is correct
19 Correct 245 ms 22084 KB Output is correct
20 Correct 238 ms 22048 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 12 ms 1128 KB Output is correct
7 Correct 248 ms 22056 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 11 ms 1100 KB Output is correct
13 Correct 238 ms 22056 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 5 ms 716 KB Output is correct
17 Correct 129 ms 12032 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 60 ms 5760 KB Output is correct
21 Correct 256 ms 22088 KB Output is correct
22 Correct 239 ms 22028 KB Output is correct
23 Correct 253 ms 21972 KB Output is correct
24 Correct 251 ms 22052 KB Output is correct
25 Correct 105 ms 12040 KB Output is correct
26 Correct 109 ms 12040 KB Output is correct
27 Correct 262 ms 21992 KB Output is correct
28 Correct 243 ms 22044 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 13 ms 1200 KB Output is correct
37 Correct 240 ms 23988 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 11 ms 1168 KB Output is correct
41 Correct 251 ms 23912 KB Output is correct
42 Correct 1 ms 204 KB Output is correct
43 Correct 1 ms 204 KB Output is correct
44 Correct 6 ms 764 KB Output is correct
45 Correct 131 ms 14060 KB Output is correct
46 Correct 1 ms 204 KB Output is correct
47 Correct 1 ms 292 KB Output is correct
48 Correct 1 ms 204 KB Output is correct
49 Correct 60 ms 6256 KB Output is correct
50 Correct 249 ms 23972 KB Output is correct
51 Correct 247 ms 23984 KB Output is correct
52 Correct 256 ms 23928 KB Output is correct
53 Correct 107 ms 14020 KB Output is correct
54 Correct 117 ms 14076 KB Output is correct
55 Correct 242 ms 23972 KB Output is correct
56 Correct 257 ms 24004 KB Output is correct
57 Correct 101 ms 14060 KB Output is correct
58 Correct 1 ms 204 KB Output is correct
59 Correct 1 ms 204 KB Output is correct
60 Correct 6 ms 844 KB Output is correct
61 Correct 145 ms 14064 KB Output is correct
62 Correct 1 ms 204 KB Output is correct
63 Correct 1 ms 204 KB Output is correct
64 Correct 1 ms 296 KB Output is correct
65 Correct 66 ms 6248 KB Output is correct
66 Correct 101 ms 14072 KB Output is correct
67 Correct 106 ms 14064 KB Output is correct
68 Correct 110 ms 14048 KB Output is correct
69 Correct 112 ms 14068 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 12 ms 1128 KB Output is correct
7 Correct 248 ms 22056 KB Output is correct
8 Correct 1 ms 204 KB Output is correct
9 Correct 1 ms 204 KB Output is correct
10 Correct 1 ms 204 KB Output is correct
11 Correct 1 ms 204 KB Output is correct
12 Correct 11 ms 1100 KB Output is correct
13 Correct 238 ms 22056 KB Output is correct
14 Correct 1 ms 204 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 5 ms 716 KB Output is correct
17 Correct 129 ms 12032 KB Output is correct
18 Correct 1 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 60 ms 5760 KB Output is correct
21 Correct 256 ms 22088 KB Output is correct
22 Correct 239 ms 22028 KB Output is correct
23 Correct 253 ms 21972 KB Output is correct
24 Correct 251 ms 22052 KB Output is correct
25 Correct 105 ms 12040 KB Output is correct
26 Correct 109 ms 12040 KB Output is correct
27 Correct 262 ms 21992 KB Output is correct
28 Correct 243 ms 22044 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 1 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 1 ms 332 KB Output is correct
35 Correct 1 ms 204 KB Output is correct
36 Correct 13 ms 1200 KB Output is correct
37 Correct 240 ms 23988 KB Output is correct
38 Correct 1 ms 204 KB Output is correct
39 Correct 1 ms 204 KB Output is correct
40 Correct 11 ms 1168 KB Output is correct
41 Correct 251 ms 23912 KB Output is correct
42 Correct 1 ms 204 KB Output is correct
43 Correct 1 ms 204 KB Output is correct
44 Correct 6 ms 764 KB Output is correct
45 Correct 131 ms 14060 KB Output is correct
46 Correct 1 ms 204 KB Output is correct
47 Correct 1 ms 292 KB Output is correct
48 Correct 1 ms 204 KB Output is correct
49 Correct 60 ms 6256 KB Output is correct
50 Correct 249 ms 23972 KB Output is correct
51 Correct 247 ms 23984 KB Output is correct
52 Correct 256 ms 23928 KB Output is correct
53 Correct 107 ms 14020 KB Output is correct
54 Correct 117 ms 14076 KB Output is correct
55 Correct 242 ms 23972 KB Output is correct
56 Correct 257 ms 24004 KB Output is correct
57 Correct 101 ms 14060 KB Output is correct
58 Correct 1 ms 204 KB Output is correct
59 Correct 1 ms 204 KB Output is correct
60 Correct 1 ms 204 KB Output is correct
61 Correct 61 ms 5744 KB Output is correct
62 Correct 244 ms 22020 KB Output is correct
63 Correct 249 ms 22084 KB Output is correct
64 Correct 258 ms 22028 KB Output is correct
65 Correct 1 ms 204 KB Output is correct
66 Correct 59 ms 5764 KB Output is correct
67 Correct 242 ms 22024 KB Output is correct
68 Correct 291 ms 22044 KB Output is correct
69 Correct 269 ms 22212 KB Output is correct
70 Correct 1 ms 204 KB Output is correct
71 Correct 1 ms 204 KB Output is correct
72 Correct 1 ms 204 KB Output is correct
73 Correct 60 ms 5692 KB Output is correct
74 Correct 253 ms 22020 KB Output is correct
75 Correct 255 ms 21996 KB Output is correct
76 Correct 245 ms 22084 KB Output is correct
77 Correct 238 ms 22048 KB Output is correct
78 Correct 1 ms 204 KB Output is correct
79 Correct 1 ms 204 KB Output is correct
80 Correct 6 ms 844 KB Output is correct
81 Correct 145 ms 14064 KB Output is correct
82 Correct 1 ms 204 KB Output is correct
83 Correct 1 ms 204 KB Output is correct
84 Correct 1 ms 296 KB Output is correct
85 Correct 66 ms 6248 KB Output is correct
86 Correct 101 ms 14072 KB Output is correct
87 Correct 106 ms 14064 KB Output is correct
88 Correct 110 ms 14048 KB Output is correct
89 Correct 112 ms 14068 KB Output is correct
90 Correct 1 ms 204 KB Output is correct
91 Correct 1 ms 204 KB Output is correct
92 Correct 7 ms 796 KB Output is correct
93 Correct 146 ms 14072 KB Output is correct
94 Correct 1 ms 204 KB Output is correct
95 Correct 1 ms 204 KB Output is correct
96 Correct 1 ms 204 KB Output is correct
97 Correct 27 ms 3696 KB Output is correct
98 Correct 120 ms 14020 KB Output is correct
99 Correct 119 ms 14020 KB Output is correct
100 Correct 111 ms 14060 KB Output is correct
101 Correct 123 ms 14064 KB Output is correct
102 Correct 110 ms 13984 KB Output is correct
103 Correct 109 ms 14204 KB Output is correct
104 Correct 118 ms 14024 KB Output is correct
105 Correct 147 ms 14068 KB Output is correct