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Submission #764483

# Submission time Handle Problem Language Result Execution time Memory
764483 2023-06-23T12:47:25 Z anaduguleanu Graph (BOI20_graph) C++14
100 / 100
 107 ms 20464 KB 
#include <iostream>
#include <algorithm>
#include <vector>
#define MAX 100000
using namespace std;
///ifstream cin ("c.in");
///ofstream cout ("c.out");
vector <pair <int, int>> graph[MAX + 10];
pair <int, double> ans[MAX + 10];
vector <int> nodes;
vector <double> aux;
int visited[MAX + 10], possible, foundX;
double x;
void speedy()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
}
void dfs(int node)
{
    if (possible == 1)
    {
        visited[node] = 1;
        nodes.push_back(node);
        for (auto it : graph[node])
        {
            int a = -ans[node].first, b;
            if (it.second == 1)
                b = 1.0 - ans[node].second;
            else
                b = 2.0 - ans[node].second;
            if (visited[it.first] == 0)
            {
                ans[it.first] = {a, b};
                dfs(it.first);
            }
            else
                if (a == ans[it.first].first && b == ans[it.first].second)
                {

                }
                else
                    if (a == ans[it.first].first && b != ans[it.first].second)
                        possible = 0;
                    else
                    {
                        foundX = 1;
                        x = (ans[it.first].second - b) / (a - ans[it.first].first);
                    }

        }
    }
}
int main()
{
    speedy();
    int n, m;
    cin >> n >> m;
    for (int i = 1; i <= m; i++)
    {
        int a, b, c;
        cin >> a >> b >> c;
        graph[a].push_back({b, c});
        graph[b].push_back({a, c});
    }
    possible = 1;
    for (int i = 1; i <= n && possible == 1; i++)
        if (visited[i] == 0)
        {
            ans[i] = {1, 0.0};
            foundX = 0;
            dfs(i);
            if (foundX == 0)
            {
                for (auto node : nodes)
                    aux.push_back(-ans[node].first * ans[node].second);
                sort(aux.begin(), aux.end());
                x = aux[aux.size() / 2];
            }
            for (auto node : nodes)
                ans[node] = {0, ans[node].first * x + ans[node].second};
            if (possible == 1)
                for (auto node : nodes)
                    for (auto it : graph[node])
                        if (ans[node].second + ans[it.first].second != it.second)
                            possible = 0;
            aux.clear();
            nodes.clear();
        }
    if (possible == 1)
    {
        cout << "YES\n";
        for (int i = 1; i <= n; i++)
            cout << ans[i].second << ' ';
    }
    else
        cout << "NO\n";
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB answer = YES
2 Correct 1 ms 2644 KB answer = YES
3 Correct 1 ms 2644 KB answer = YES
4 Correct 1 ms 2644 KB answer = NO
5 Correct 2 ms 2644 KB answer = YES
6 Correct 3 ms 2684 KB answer = YES
7 Correct 1 ms 2644 KB answer = YES
8 Correct 1 ms 2644 KB answer = YES
9 Correct 1 ms 2688 KB answer = NO
10 Correct 1 ms 2644 KB answer = YES
11 Correct 1 ms 2688 KB answer = YES
12 Correct 2 ms 2644 KB answer = NO
13 Correct 1 ms 2644 KB answer = YES
14 Correct 1 ms 2644 KB answer = YES
15 Correct 1 ms 2644 KB answer = YES
16 Correct 1 ms 2644 KB answer = YES
17 Correct 1 ms 2644 KB answer = YES
18 Correct 2 ms 2692 KB answer = YES
19 Correct 2 ms 2644 KB answer = YES
20 Correct 1 ms 2644 KB answer = YES
21 Correct 1 ms 2644 KB answer = YES
22 Correct 2 ms 2644 KB answer = NO
23 Correct 2 ms 2684 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB answer = YES
2 Correct 1 ms 2644 KB answer = YES
3 Correct 1 ms 2644 KB answer = YES
4 Correct 1 ms 2644 KB answer = NO
5 Correct 2 ms 2644 KB answer = YES
6 Correct 3 ms 2684 KB answer = YES
7 Correct 1 ms 2644 KB answer = YES
8 Correct 1 ms 2644 KB answer = YES
9 Correct 1 ms 2688 KB answer = NO
10 Correct 1 ms 2644 KB answer = YES
11 Correct 1 ms 2688 KB answer = YES
12 Correct 2 ms 2644 KB answer = NO
13 Correct 1 ms 2644 KB answer = YES
14 Correct 1 ms 2644 KB answer = YES
15 Correct 1 ms 2644 KB answer = YES
16 Correct 1 ms 2644 KB answer = YES
17 Correct 1 ms 2644 KB answer = YES
18 Correct 2 ms 2692 KB answer = YES
19 Correct 2 ms 2644 KB answer = YES
20 Correct 1 ms 2644 KB answer = YES
21 Correct 1 ms 2644 KB answer = YES
22 Correct 2 ms 2644 KB answer = NO
23 Correct 2 ms 2684 KB answer = NO
24 Correct 2 ms 2684 KB answer = YES
25 Correct 1 ms 2644 KB answer = YES
26 Correct 2 ms 2644 KB answer = YES
27 Correct 1 ms 2644 KB answer = YES
28 Correct 1 ms 2688 KB answer = YES
29 Correct 1 ms 2692 KB answer = YES
30 Correct 1 ms 2644 KB answer = NO
31 Correct 1 ms 2644 KB answer = YES
32 Correct 1 ms 2644 KB answer = YES
33 Correct 2 ms 2644 KB answer = YES
34 Correct 1 ms 2644 KB answer = YES
35 Correct 2 ms 2688 KB answer = YES
36 Correct 1 ms 2644 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB answer = YES
2 Correct 1 ms 2644 KB answer = YES
3 Correct 1 ms 2644 KB answer = YES
4 Correct 1 ms 2644 KB answer = NO
5 Correct 2 ms 2644 KB answer = YES
6 Correct 3 ms 2684 KB answer = YES
7 Correct 1 ms 2644 KB answer = YES
8 Correct 1 ms 2644 KB answer = YES
9 Correct 1 ms 2688 KB answer = NO
10 Correct 1 ms 2644 KB answer = YES
11 Correct 1 ms 2688 KB answer = YES
12 Correct 2 ms 2644 KB answer = NO
13 Correct 1 ms 2644 KB answer = YES
14 Correct 1 ms 2644 KB answer = YES
15 Correct 1 ms 2644 KB answer = YES
16 Correct 1 ms 2644 KB answer = YES
17 Correct 1 ms 2644 KB answer = YES
18 Correct 2 ms 2692 KB answer = YES
19 Correct 2 ms 2644 KB answer = YES
20 Correct 1 ms 2644 KB answer = YES
21 Correct 1 ms 2644 KB answer = YES
22 Correct 2 ms 2644 KB answer = NO
23 Correct 2 ms 2684 KB answer = NO
24 Correct 2 ms 2684 KB answer = YES
25 Correct 1 ms 2644 KB answer = YES
26 Correct 2 ms 2644 KB answer = YES
27 Correct 1 ms 2644 KB answer = YES
28 Correct 1 ms 2688 KB answer = YES
29 Correct 1 ms 2692 KB answer = YES
30 Correct 1 ms 2644 KB answer = NO
31 Correct 1 ms 2644 KB answer = YES
32 Correct 1 ms 2644 KB answer = YES
33 Correct 2 ms 2644 KB answer = YES
34 Correct 1 ms 2644 KB answer = YES
35 Correct 2 ms 2688 KB answer = YES
36 Correct 1 ms 2644 KB answer = YES
37 Correct 1 ms 2644 KB answer = YES
38 Correct 2 ms 2688 KB answer = YES
39 Correct 2 ms 2644 KB answer = YES
40 Correct 2 ms 2772 KB answer = YES
41 Correct 2 ms 2696 KB answer = NO
42 Correct 2 ms 2704 KB answer = YES
43 Correct 2 ms 2644 KB answer = YES
44 Correct 2 ms 2644 KB answer = YES
45 Correct 2 ms 2696 KB answer = YES
46 Correct 2 ms 2644 KB answer = YES
47 Correct 2 ms 2644 KB answer = YES
48 Correct 2 ms 2688 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB answer = YES
2 Correct 1 ms 2644 KB answer = YES
3 Correct 1 ms 2644 KB answer = YES
4 Correct 1 ms 2644 KB answer = NO
5 Correct 2 ms 2644 KB answer = YES
6 Correct 3 ms 2684 KB answer = YES
7 Correct 1 ms 2644 KB answer = YES
8 Correct 1 ms 2644 KB answer = YES
9 Correct 1 ms 2688 KB answer = NO
10 Correct 1 ms 2644 KB answer = YES
11 Correct 1 ms 2688 KB answer = YES
12 Correct 2 ms 2644 KB answer = NO
13 Correct 1 ms 2644 KB answer = YES
14 Correct 1 ms 2644 KB answer = YES
15 Correct 1 ms 2644 KB answer = YES
16 Correct 1 ms 2644 KB answer = YES
17 Correct 1 ms 2644 KB answer = YES
18 Correct 2 ms 2692 KB answer = YES
19 Correct 2 ms 2644 KB answer = YES
20 Correct 1 ms 2644 KB answer = YES
21 Correct 1 ms 2644 KB answer = YES
22 Correct 2 ms 2644 KB answer = NO
23 Correct 2 ms 2684 KB answer = NO
24 Correct 2 ms 2684 KB answer = YES
25 Correct 1 ms 2644 KB answer = YES
26 Correct 2 ms 2644 KB answer = YES
27 Correct 1 ms 2644 KB answer = YES
28 Correct 1 ms 2688 KB answer = YES
29 Correct 1 ms 2692 KB answer = YES
30 Correct 1 ms 2644 KB answer = NO
31 Correct 1 ms 2644 KB answer = YES
32 Correct 1 ms 2644 KB answer = YES
33 Correct 2 ms 2644 KB answer = YES
34 Correct 1 ms 2644 KB answer = YES
35 Correct 2 ms 2688 KB answer = YES
36 Correct 1 ms 2644 KB answer = YES
37 Correct 1 ms 2644 KB answer = YES
38 Correct 2 ms 2688 KB answer = YES
39 Correct 2 ms 2644 KB answer = YES
40 Correct 2 ms 2772 KB answer = YES
41 Correct 2 ms 2696 KB answer = NO
42 Correct 2 ms 2704 KB answer = YES
43 Correct 2 ms 2644 KB answer = YES
44 Correct 2 ms 2644 KB answer = YES
45 Correct 2 ms 2696 KB answer = YES
46 Correct 2 ms 2644 KB answer = YES
47 Correct 2 ms 2644 KB answer = YES
48 Correct 2 ms 2688 KB answer = YES
49 Correct 7 ms 3596 KB answer = YES
50 Correct 8 ms 3796 KB answer = YES
51 Correct 8 ms 3924 KB answer = YES
52 Correct 4 ms 3284 KB answer = NO
53 Correct 2 ms 2692 KB answer = YES
54 Correct 3 ms 2900 KB answer = YES
55 Correct 5 ms 3156 KB answer = YES
56 Correct 7 ms 3596 KB answer = YES
57 Correct 7 ms 3412 KB answer = YES
58 Correct 9 ms 3412 KB answer = YES
59 Correct 7 ms 3284 KB answer = YES
60 Correct 8 ms 3500 KB answer = YES
61 Correct 4 ms 3028 KB answer = YES
62 Correct 39 ms 9676 KB answer = NO
63 Correct 45 ms 10268 KB answer = YES
64 Correct 43 ms 10316 KB answer = NO
65 Correct 45 ms 10316 KB answer = YES
66 Correct 3 ms 2828 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2644 KB answer = YES
2 Correct 1 ms 2644 KB answer = YES
3 Correct 1 ms 2644 KB answer = YES
4 Correct 1 ms 2644 KB answer = NO
5 Correct 2 ms 2644 KB answer = YES
6 Correct 3 ms 2684 KB answer = YES
7 Correct 1 ms 2644 KB answer = YES
8 Correct 1 ms 2644 KB answer = YES
9 Correct 1 ms 2688 KB answer = NO
10 Correct 1 ms 2644 KB answer = YES
11 Correct 1 ms 2688 KB answer = YES
12 Correct 2 ms 2644 KB answer = NO
13 Correct 1 ms 2644 KB answer = YES
14 Correct 1 ms 2644 KB answer = YES
15 Correct 1 ms 2644 KB answer = YES
16 Correct 1 ms 2644 KB answer = YES
17 Correct 1 ms 2644 KB answer = YES
18 Correct 2 ms 2692 KB answer = YES
19 Correct 2 ms 2644 KB answer = YES
20 Correct 1 ms 2644 KB answer = YES
21 Correct 1 ms 2644 KB answer = YES
22 Correct 2 ms 2644 KB answer = NO
23 Correct 2 ms 2684 KB answer = NO
24 Correct 2 ms 2684 KB answer = YES
25 Correct 1 ms 2644 KB answer = YES
26 Correct 2 ms 2644 KB answer = YES
27 Correct 1 ms 2644 KB answer = YES
28 Correct 1 ms 2688 KB answer = YES
29 Correct 1 ms 2692 KB answer = YES
30 Correct 1 ms 2644 KB answer = NO
31 Correct 1 ms 2644 KB answer = YES
32 Correct 1 ms 2644 KB answer = YES
33 Correct 2 ms 2644 KB answer = YES
34 Correct 1 ms 2644 KB answer = YES
35 Correct 2 ms 2688 KB answer = YES
36 Correct 1 ms 2644 KB answer = YES
37 Correct 1 ms 2644 KB answer = YES
38 Correct 2 ms 2688 KB answer = YES
39 Correct 2 ms 2644 KB answer = YES
40 Correct 2 ms 2772 KB answer = YES
41 Correct 2 ms 2696 KB answer = NO
42 Correct 2 ms 2704 KB answer = YES
43 Correct 2 ms 2644 KB answer = YES
44 Correct 2 ms 2644 KB answer = YES
45 Correct 2 ms 2696 KB answer = YES
46 Correct 2 ms 2644 KB answer = YES
47 Correct 2 ms 2644 KB answer = YES
48 Correct 2 ms 2688 KB answer = YES
49 Correct 7 ms 3596 KB answer = YES
50 Correct 8 ms 3796 KB answer = YES
51 Correct 8 ms 3924 KB answer = YES
52 Correct 4 ms 3284 KB answer = NO
53 Correct 2 ms 2692 KB answer = YES
54 Correct 3 ms 2900 KB answer = YES
55 Correct 5 ms 3156 KB answer = YES
56 Correct 7 ms 3596 KB answer = YES
57 Correct 7 ms 3412 KB answer = YES
58 Correct 9 ms 3412 KB answer = YES
59 Correct 7 ms 3284 KB answer = YES
60 Correct 8 ms 3500 KB answer = YES
61 Correct 4 ms 3028 KB answer = YES
62 Correct 39 ms 9676 KB answer = NO
63 Correct 45 ms 10268 KB answer = YES
64 Correct 43 ms 10316 KB answer = NO
65 Correct 45 ms 10316 KB answer = YES
66 Correct 3 ms 2828 KB answer = YES
67 Correct 66 ms 16884 KB answer = YES
68 Correct 60 ms 16848 KB answer = YES
69 Correct 61 ms 16040 KB answer = YES
70 Correct 85 ms 20464 KB answer = YES
71 Correct 62 ms 16188 KB answer = YES
72 Correct 70 ms 11216 KB answer = YES
73 Correct 66 ms 10440 KB answer = YES
74 Correct 52 ms 10720 KB answer = YES
75 Correct 20 ms 8876 KB answer = NO
76 Correct 9 ms 3796 KB answer = YES
77 Correct 17 ms 4820 KB answer = YES
78 Correct 30 ms 6504 KB answer = YES
79 Correct 75 ms 10092 KB answer = YES
80 Correct 46 ms 11084 KB answer = YES
81 Correct 34 ms 12852 KB answer = NO
82 Correct 70 ms 15868 KB answer = YES
83 Correct 78 ms 16188 KB answer = YES
84 Correct 77 ms 16968 KB answer = YES
85 Correct 70 ms 16908 KB answer = YES
86 Correct 63 ms 16096 KB answer = YES
87 Correct 32 ms 11328 KB answer = NO
88 Correct 72 ms 12488 KB answer = YES
89 Correct 68 ms 9388 KB answer = YES
90 Correct 64 ms 9348 KB answer = YES
91 Correct 67 ms 9380 KB answer = YES
92 Correct 36 ms 6680 KB answer = YES
93 Correct 39 ms 6544 KB answer = YES
94 Correct 40 ms 16920 KB answer = NO
95 Correct 28 ms 9056 KB answer = NO
96 Correct 107 ms 18108 KB answer = YES
97 Correct 33 ms 16900 KB answer = NO