oj.uz

Submission #984326

# Submission time Handle Problem Language Result Execution time Memory
984326 2024-05-16T13:28:47 Z CSQ31 Connecting Supertrees (IOI20_supertrees) C++17
100 / 100
 179 ms 38160 KB 
#include "supertrees.h"
#include<bits/stdc++.h>
using namespace std;
#define sz(a) (int)(a.size())
int p[1111][1111],q[1111][1111],ans[1111][1111];
void add(int v,int u){
	ans[v][u] = ans[u][v] = 1;
}
int construct(vector<vector<int>> P) {
	int n = sz(P);
	for (int i=0;i<n;i++){
		if(P[i][i] != 1)return 0;
		for(int j=0;j<n;j++){
			q[i][j] = ans[i][j] = 0;
			p[i][j] = P[i][j];
			if(p[i][j] == 3)return 0;
		}
	}
	//find all nodes connected to 1
	//then nodes with p(1,v) = 1
	//this has to form a tree
	//repeat forming many trees then link the trees in a cycle
	vector<int>ded(n,0);
	for(int v=0;v<n;v++){
		if(ded[v])continue;
		vector<int>comp;
		vector<bool>incomp(n,0);
		for(int j=0;j<n;j++){
			if(ded[j])continue;
			if(p[v][j]){
				incomp[j] = 1;
				comp.push_back(j);
				ded[j] = 1;
			}
		}
		for(int x:comp){
			for(int y:comp){
				if(!p[x][y])return 0;
			}
		}
		vector<vector<int>>trees;
		while(!comp.empty()){
			int v = comp[0];
			vector<int>tree,tmp;
			for(int u:comp){
				if(p[u][v] == 1)tree.push_back(u);
				else tmp.push_back(u);
			}
			trees.push_back(tree);
			comp = tmp;
		}
		int ss = sz(trees);
		if(ss==2)return 0;
		if(ss > 1)add(trees[0][0],trees[ss-1][0]);
		for(int i=0;i<ss;i++){
			if(i+1<sz(trees))add(trees[i][0],trees[i+1][0]);
			for(int j=0;j+1<sz(trees[i]);j++)add(trees[i][j],trees[i][j+1]);

			vector<bool>intree(n,0);
			for(int x:trees[i])intree[x] = 1;
			for(int x:trees[i]){
				for(int y:trees[i])q[x][y] = 1;
				for(int j=0;j<n;j++){
					if(incomp[j] && !intree[j])q[x][j] = q[j][x] = 2;
				}
			}
		}
	}
	for(int i=0;i<n;i++){
		for(int j=0;j<n;j++){
			if(q[i][j] != p[i][j])return 0;
		}
	}
	vector<vector<int>>fin(n);
	for(int i=0;i<n;i++){
		fin[i].assign(n,0);
		for(int j=0;j<n;j++)fin[i][j] = ans[i][j];
	}
	build(fin);
	return 1;
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 7 ms 9564 KB Output is correct
7 Correct 150 ms 36128 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 7 ms 9564 KB Output is correct
7 Correct 150 ms 36128 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 7 ms 9560 KB Output is correct
13 Correct 148 ms 35952 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 4 ms 9052 KB Output is correct
17 Correct 63 ms 22100 KB Output is correct
18 Correct 1 ms 4440 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 38 ms 16276 KB Output is correct
21 Correct 149 ms 36140 KB Output is correct
22 Correct 147 ms 36044 KB Output is correct
23 Correct 179 ms 36124 KB Output is correct
24 Correct 154 ms 36092 KB Output is correct
25 Correct 61 ms 22300 KB Output is correct
26 Correct 59 ms 22096 KB Output is correct
27 Correct 152 ms 36116 KB Output is correct
28 Correct 149 ms 36180 KB Output is correct

Subtask #3
19.0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 7 ms 9564 KB Output is correct
9 Correct 149 ms 37972 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 8 ms 9564 KB Output is correct
13 Correct 168 ms 37952 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4544 KB Output is correct
16 Correct 4 ms 9052 KB Output is correct
17 Correct 62 ms 24148 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 1 ms 4444 KB Output is correct
21 Correct 42 ms 16980 KB Output is correct
22 Correct 150 ms 37968 KB Output is correct
23 Correct 153 ms 37968 KB Output is correct
24 Correct 152 ms 38160 KB Output is correct
25 Correct 59 ms 24080 KB Output is correct
26 Correct 61 ms 24080 KB Output is correct
27 Correct 149 ms 38116 KB Output is correct
28 Correct 156 ms 38012 KB Output is correct
29 Correct 60 ms 24144 KB Output is correct

Subtask #4
35.0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 38 ms 16208 KB Output is correct
5 Correct 147 ms 36112 KB Output is correct
6 Correct 151 ms 35988 KB Output is correct
7 Correct 154 ms 36176 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 38 ms 16220 KB Output is correct
10 Correct 148 ms 36112 KB Output is correct
11 Correct 145 ms 36180 KB Output is correct
12 Correct 151 ms 36176 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 38 ms 16220 KB Output is correct
17 Correct 146 ms 36112 KB Output is correct
18 Correct 150 ms 36180 KB Output is correct
19 Correct 154 ms 36088 KB Output is correct
20 Correct 162 ms 36172 KB Output is correct

Subtask #5
21.0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 7 ms 9564 KB Output is correct
7 Correct 150 ms 36128 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 7 ms 9560 KB Output is correct
13 Correct 148 ms 35952 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 4 ms 9052 KB Output is correct
17 Correct 63 ms 22100 KB Output is correct
18 Correct 1 ms 4440 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 38 ms 16276 KB Output is correct
21 Correct 149 ms 36140 KB Output is correct
22 Correct 147 ms 36044 KB Output is correct
23 Correct 179 ms 36124 KB Output is correct
24 Correct 154 ms 36092 KB Output is correct
25 Correct 61 ms 22300 KB Output is correct
26 Correct 59 ms 22096 KB Output is correct
27 Correct 152 ms 36116 KB Output is correct
28 Correct 149 ms 36180 KB Output is correct
29 Correct 1 ms 4440 KB Output is correct
30 Correct 1 ms 4444 KB Output is correct
31 Correct 1 ms 4444 KB Output is correct
32 Correct 1 ms 4444 KB Output is correct
33 Correct 1 ms 4444 KB Output is correct
34 Correct 1 ms 4444 KB Output is correct
35 Correct 1 ms 4444 KB Output is correct
36 Correct 7 ms 9564 KB Output is correct
37 Correct 149 ms 37972 KB Output is correct
38 Correct 1 ms 4444 KB Output is correct
39 Correct 1 ms 4444 KB Output is correct
40 Correct 8 ms 9564 KB Output is correct
41 Correct 168 ms 37952 KB Output is correct
42 Correct 1 ms 4444 KB Output is correct
43 Correct 1 ms 4544 KB Output is correct
44 Correct 4 ms 9052 KB Output is correct
45 Correct 62 ms 24148 KB Output is correct
46 Correct 1 ms 4444 KB Output is correct
47 Correct 1 ms 4444 KB Output is correct
48 Correct 1 ms 4444 KB Output is correct
49 Correct 42 ms 16980 KB Output is correct
50 Correct 150 ms 37968 KB Output is correct
51 Correct 153 ms 37968 KB Output is correct
52 Correct 152 ms 38160 KB Output is correct
53 Correct 59 ms 24080 KB Output is correct
54 Correct 61 ms 24080 KB Output is correct
55 Correct 149 ms 38116 KB Output is correct
56 Correct 156 ms 38012 KB Output is correct
57 Correct 60 ms 24144 KB Output is correct
58 Correct 1 ms 4440 KB Output is correct
59 Correct 1 ms 4440 KB Output is correct
60 Correct 4 ms 9052 KB Output is correct
61 Correct 61 ms 24060 KB Output is correct
62 Correct 1 ms 4444 KB Output is correct
63 Correct 1 ms 4444 KB Output is correct
64 Correct 1 ms 4444 KB Output is correct
65 Correct 42 ms 16720 KB Output is correct
66 Correct 60 ms 24080 KB Output is correct
67 Correct 62 ms 24148 KB Output is correct
68 Correct 75 ms 24144 KB Output is correct
69 Correct 60 ms 24148 KB Output is correct

Subtask #6
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4440 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4444 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 7 ms 9564 KB Output is correct
7 Correct 150 ms 36128 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 7 ms 9560 KB Output is correct
13 Correct 148 ms 35952 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 4 ms 9052 KB Output is correct
17 Correct 63 ms 22100 KB Output is correct
18 Correct 1 ms 4440 KB Output is correct
19 Correct 1 ms 4444 KB Output is correct
20 Correct 38 ms 16276 KB Output is correct
21 Correct 149 ms 36140 KB Output is correct
22 Correct 147 ms 36044 KB Output is correct
23 Correct 179 ms 36124 KB Output is correct
24 Correct 154 ms 36092 KB Output is correct
25 Correct 61 ms 22300 KB Output is correct
26 Correct 59 ms 22096 KB Output is correct
27 Correct 152 ms 36116 KB Output is correct
28 Correct 149 ms 36180 KB Output is correct
29 Correct 1 ms 4440 KB Output is correct
30 Correct 1 ms 4444 KB Output is correct
31 Correct 1 ms 4444 KB Output is correct
32 Correct 1 ms 4444 KB Output is correct
33 Correct 1 ms 4444 KB Output is correct
34 Correct 1 ms 4444 KB Output is correct
35 Correct 1 ms 4444 KB Output is correct
36 Correct 7 ms 9564 KB Output is correct
37 Correct 149 ms 37972 KB Output is correct
38 Correct 1 ms 4444 KB Output is correct
39 Correct 1 ms 4444 KB Output is correct
40 Correct 8 ms 9564 KB Output is correct
41 Correct 168 ms 37952 KB Output is correct
42 Correct 1 ms 4444 KB Output is correct
43 Correct 1 ms 4544 KB Output is correct
44 Correct 4 ms 9052 KB Output is correct
45 Correct 62 ms 24148 KB Output is correct
46 Correct 1 ms 4444 KB Output is correct
47 Correct 1 ms 4444 KB Output is correct
48 Correct 1 ms 4444 KB Output is correct
49 Correct 42 ms 16980 KB Output is correct
50 Correct 150 ms 37968 KB Output is correct
51 Correct 153 ms 37968 KB Output is correct
52 Correct 152 ms 38160 KB Output is correct
53 Correct 59 ms 24080 KB Output is correct
54 Correct 61 ms 24080 KB Output is correct
55 Correct 149 ms 38116 KB Output is correct
56 Correct 156 ms 38012 KB Output is correct
57 Correct 60 ms 24144 KB Output is correct
58 Correct 1 ms 4440 KB Output is correct
59 Correct 1 ms 4444 KB Output is correct
60 Correct 1 ms 4444 KB Output is correct
61 Correct 38 ms 16208 KB Output is correct
62 Correct 147 ms 36112 KB Output is correct
63 Correct 151 ms 35988 KB Output is correct
64 Correct 154 ms 36176 KB Output is correct
65 Correct 1 ms 4444 KB Output is correct
66 Correct 38 ms 16220 KB Output is correct
67 Correct 148 ms 36112 KB Output is correct
68 Correct 145 ms 36180 KB Output is correct
69 Correct 151 ms 36176 KB Output is correct
70 Correct 1 ms 4444 KB Output is correct
71 Correct 1 ms 4444 KB Output is correct
72 Correct 1 ms 4444 KB Output is correct
73 Correct 38 ms 16220 KB Output is correct
74 Correct 146 ms 36112 KB Output is correct
75 Correct 150 ms 36180 KB Output is correct
76 Correct 154 ms 36088 KB Output is correct
77 Correct 162 ms 36172 KB Output is correct
78 Correct 1 ms 4440 KB Output is correct
79 Correct 1 ms 4440 KB Output is correct
80 Correct 4 ms 9052 KB Output is correct
81 Correct 61 ms 24060 KB Output is correct
82 Correct 1 ms 4444 KB Output is correct
83 Correct 1 ms 4444 KB Output is correct
84 Correct 1 ms 4444 KB Output is correct
85 Correct 42 ms 16720 KB Output is correct
86 Correct 60 ms 24080 KB Output is correct
87 Correct 62 ms 24148 KB Output is correct
88 Correct 75 ms 24144 KB Output is correct
89 Correct 60 ms 24148 KB Output is correct
90 Correct 1 ms 4440 KB Output is correct
91 Correct 1 ms 4444 KB Output is correct
92 Correct 3 ms 4700 KB Output is correct
93 Correct 59 ms 14204 KB Output is correct
94 Correct 1 ms 4444 KB Output is correct
95 Correct 1 ms 4444 KB Output is correct
96 Correct 1 ms 4444 KB Output is correct
97 Correct 17 ms 7320 KB Output is correct
98 Correct 57 ms 16464 KB Output is correct
99 Correct 57 ms 16468 KB Output is correct
100 Correct 56 ms 16468 KB Output is correct
101 Correct 57 ms 18428 KB Output is correct
102 Correct 62 ms 14416 KB Output is correct
103 Correct 57 ms 14336 KB Output is correct
104 Correct 56 ms 14208 KB Output is correct
105 Correct 59 ms 14164 KB Output is correct