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Submission #932276

# Submission time Handle Problem Language Result Execution time Memory
932276 2024-02-23T06:55:37 Z Ghulam_Junaid Graph (BOI20_graph) C++17
58 / 100
 700 ms 22232 KB 
#include <bits/stdc++.h>
using namespace std;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

const int N = 1e5 + 10;
int n, m;
bool vis[N];

vector<double> poss;
vector<int> path;
vector<pair<int, double>> g[N], loops;

double val[N], ans[N];
long double sm;

void getpath(int v){
    vis[v] = 1;
    path.push_back(v);
    for (auto [u, w] : g[v])
        if (!vis[u]) getpath(u);
}

void dfs(int v){
    vis[v] = 1;
    sm += abs(val[v]);
    for (auto [u, w] : g[v]){
        if (vis[u]){
            if (val[u] == w - val[v])
                continue;
            val[u] = 1e9;
            sm += 1e9;
            return;
        }
        
        val[u] = w - val[v];
        dfs(u);
    }
}

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0); cout.tie(0);

    cin >> n >> m;
    for (int i = 0; i < m; i ++){
        int u, v, w;
        cin >> u >> v >> w;
        g[u].push_back({v, w});
        g[v].push_back({u, w});

        if (u == v)
            loops.push_back({v, w});
    }

    for (auto [v, w] : loops){
        if (vis[v]) continue;
        
        path.clear();
        getpath(v);
        for (int u : path)
            vis[u] = 0;

        val[v] = w / 2;
        dfs(v);

        for (int u : path){
            ans[u] = val[u];
            if (ans[u] >= 1e9){
                cout << "NO" << endl;
                return 0;
            }
        }
    }

    poss.push_back(0);
    for (double i = 0; i < 10; i ++){
        poss.push_back(i + 0.5);
        poss.push_back(i + 1);
    }

    for (int i = 1; i <= n; i ++){
        if (vis[i]) continue;

        path.clear();
        getpath(i);
        for (int v : path)
            vis[v] = 0;

        double mn = 1e9;
        int sz = path.size();
        for (int r = 0; r < 5; r ++){
            for (double x : poss){

                int ind = rng() % sz;
                int node = path[ind];

                if (!r) node = i;

                sm = 0;
                val[node] = x;
                dfs(node);

                if (mn > sm){
                    mn = sm;
                    for (int v : path){
                        vis[v] = 0;
                        ans[v] = val[v];
                    }
                }
                else{
                    for (int v : path)
                        vis[v] = 0;
                }
            }
        }

        for (int v : path) vis[v] = 1;

        if (mn == 1e9){
            cout << "NO" << endl;
            return 0;
        }
    }

    cout << "YES" << endl;
    for (int i = 1; i <= n; i ++)
        cout << ans[i] << " ";
    cout << endl;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4188 KB answer = YES
2 Correct 2 ms 4188 KB answer = YES
3 Correct 1 ms 4188 KB answer = YES
4 Correct 1 ms 4188 KB answer = NO
5 Correct 1 ms 4188 KB answer = YES
6 Correct 1 ms 4188 KB answer = YES
7 Correct 1 ms 4188 KB answer = YES
8 Correct 1 ms 4188 KB answer = YES
9 Correct 1 ms 4080 KB answer = NO
10 Correct 1 ms 4188 KB answer = YES
11 Correct 1 ms 4188 KB answer = YES
12 Correct 1 ms 4188 KB answer = NO
13 Correct 1 ms 4188 KB answer = YES
14 Correct 1 ms 4188 KB answer = YES
15 Correct 1 ms 4184 KB answer = YES
16 Correct 1 ms 4188 KB answer = YES
17 Correct 2 ms 4188 KB answer = YES
18 Correct 1 ms 4188 KB answer = YES
19 Correct 2 ms 4188 KB answer = YES
20 Correct 1 ms 4188 KB answer = YES
21 Correct 1 ms 4188 KB answer = YES
22 Correct 1 ms 4188 KB answer = NO
23 Correct 1 ms 4188 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4188 KB answer = YES
2 Correct 2 ms 4188 KB answer = YES
3 Correct 1 ms 4188 KB answer = YES
4 Correct 1 ms 4188 KB answer = NO
5 Correct 1 ms 4188 KB answer = YES
6 Correct 1 ms 4188 KB answer = YES
7 Correct 1 ms 4188 KB answer = YES
8 Correct 1 ms 4188 KB answer = YES
9 Correct 1 ms 4080 KB answer = NO
10 Correct 1 ms 4188 KB answer = YES
11 Correct 1 ms 4188 KB answer = YES
12 Correct 1 ms 4188 KB answer = NO
13 Correct 1 ms 4188 KB answer = YES
14 Correct 1 ms 4188 KB answer = YES
15 Correct 1 ms 4184 KB answer = YES
16 Correct 1 ms 4188 KB answer = YES
17 Correct 2 ms 4188 KB answer = YES
18 Correct 1 ms 4188 KB answer = YES
19 Correct 2 ms 4188 KB answer = YES
20 Correct 1 ms 4188 KB answer = YES
21 Correct 1 ms 4188 KB answer = YES
22 Correct 1 ms 4188 KB answer = NO
23 Correct 1 ms 4188 KB answer = NO
24 Correct 2 ms 4188 KB answer = YES
25 Correct 1 ms 4188 KB answer = YES
26 Correct 1 ms 4188 KB answer = YES
27 Correct 1 ms 4188 KB answer = YES
28 Correct 1 ms 4188 KB answer = YES
29 Correct 1 ms 4188 KB answer = YES
30 Correct 2 ms 4188 KB answer = NO
31 Correct 1 ms 4188 KB answer = YES
32 Correct 1 ms 4188 KB answer = YES
33 Correct 2 ms 4188 KB answer = YES
34 Correct 2 ms 4188 KB answer = YES
35 Correct 2 ms 4188 KB answer = YES
36 Correct 1 ms 4188 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4188 KB answer = YES
2 Correct 2 ms 4188 KB answer = YES
3 Correct 1 ms 4188 KB answer = YES
4 Correct 1 ms 4188 KB answer = NO
5 Correct 1 ms 4188 KB answer = YES
6 Correct 1 ms 4188 KB answer = YES
7 Correct 1 ms 4188 KB answer = YES
8 Correct 1 ms 4188 KB answer = YES
9 Correct 1 ms 4080 KB answer = NO
10 Correct 1 ms 4188 KB answer = YES
11 Correct 1 ms 4188 KB answer = YES
12 Correct 1 ms 4188 KB answer = NO
13 Correct 1 ms 4188 KB answer = YES
14 Correct 1 ms 4188 KB answer = YES
15 Correct 1 ms 4184 KB answer = YES
16 Correct 1 ms 4188 KB answer = YES
17 Correct 2 ms 4188 KB answer = YES
18 Correct 1 ms 4188 KB answer = YES
19 Correct 2 ms 4188 KB answer = YES
20 Correct 1 ms 4188 KB answer = YES
21 Correct 1 ms 4188 KB answer = YES
22 Correct 1 ms 4188 KB answer = NO
23 Correct 1 ms 4188 KB answer = NO
24 Correct 2 ms 4188 KB answer = YES
25 Correct 1 ms 4188 KB answer = YES
26 Correct 1 ms 4188 KB answer = YES
27 Correct 1 ms 4188 KB answer = YES
28 Correct 1 ms 4188 KB answer = YES
29 Correct 1 ms 4188 KB answer = YES
30 Correct 2 ms 4188 KB answer = NO
31 Correct 1 ms 4188 KB answer = YES
32 Correct 1 ms 4188 KB answer = YES
33 Correct 2 ms 4188 KB answer = YES
34 Correct 2 ms 4188 KB answer = YES
35 Correct 2 ms 4188 KB answer = YES
36 Correct 1 ms 4188 KB answer = YES
37 Correct 2 ms 4028 KB answer = YES
38 Correct 2 ms 4188 KB answer = YES
39 Correct 2 ms 4188 KB answer = YES
40 Correct 3 ms 4188 KB answer = YES
41 Correct 2 ms 4188 KB answer = NO
42 Correct 3 ms 4188 KB answer = YES
43 Correct 4 ms 4188 KB answer = YES
44 Correct 3 ms 4188 KB answer = YES
45 Correct 2 ms 4276 KB answer = YES
46 Correct 2 ms 4384 KB answer = YES
47 Correct 2 ms 4188 KB answer = YES
48 Correct 2 ms 4188 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4188 KB answer = YES
2 Correct 2 ms 4188 KB answer = YES
3 Correct 1 ms 4188 KB answer = YES
4 Correct 1 ms 4188 KB answer = NO
5 Correct 1 ms 4188 KB answer = YES
6 Correct 1 ms 4188 KB answer = YES
7 Correct 1 ms 4188 KB answer = YES
8 Correct 1 ms 4188 KB answer = YES
9 Correct 1 ms 4080 KB answer = NO
10 Correct 1 ms 4188 KB answer = YES
11 Correct 1 ms 4188 KB answer = YES
12 Correct 1 ms 4188 KB answer = NO
13 Correct 1 ms 4188 KB answer = YES
14 Correct 1 ms 4188 KB answer = YES
15 Correct 1 ms 4184 KB answer = YES
16 Correct 1 ms 4188 KB answer = YES
17 Correct 2 ms 4188 KB answer = YES
18 Correct 1 ms 4188 KB answer = YES
19 Correct 2 ms 4188 KB answer = YES
20 Correct 1 ms 4188 KB answer = YES
21 Correct 1 ms 4188 KB answer = YES
22 Correct 1 ms 4188 KB answer = NO
23 Correct 1 ms 4188 KB answer = NO
24 Correct 2 ms 4188 KB answer = YES
25 Correct 1 ms 4188 KB answer = YES
26 Correct 1 ms 4188 KB answer = YES
27 Correct 1 ms 4188 KB answer = YES
28 Correct 1 ms 4188 KB answer = YES
29 Correct 1 ms 4188 KB answer = YES
30 Correct 2 ms 4188 KB answer = NO
31 Correct 1 ms 4188 KB answer = YES
32 Correct 1 ms 4188 KB answer = YES
33 Correct 2 ms 4188 KB answer = YES
34 Correct 2 ms 4188 KB answer = YES
35 Correct 2 ms 4188 KB answer = YES
36 Correct 1 ms 4188 KB answer = YES
37 Correct 2 ms 4028 KB answer = YES
38 Correct 2 ms 4188 KB answer = YES
39 Correct 2 ms 4188 KB answer = YES
40 Correct 3 ms 4188 KB answer = YES
41 Correct 2 ms 4188 KB answer = NO
42 Correct 3 ms 4188 KB answer = YES
43 Correct 4 ms 4188 KB answer = YES
44 Correct 3 ms 4188 KB answer = YES
45 Correct 2 ms 4276 KB answer = YES
46 Correct 2 ms 4384 KB answer = YES
47 Correct 2 ms 4188 KB answer = YES
48 Correct 2 ms 4188 KB answer = YES
49 Correct 32 ms 4892 KB answer = YES
50 Correct 27 ms 5324 KB answer = YES
51 Correct 22 ms 5464 KB answer = YES
52 Correct 18 ms 5208 KB answer = NO
53 Correct 3 ms 4188 KB answer = YES
54 Correct 5 ms 4188 KB answer = YES
55 Correct 12 ms 4440 KB answer = YES
56 Correct 28 ms 4700 KB answer = YES
57 Correct 26 ms 4956 KB answer = YES
58 Correct 18 ms 4696 KB answer = YES
59 Correct 7 ms 4700 KB answer = YES
60 Correct 24 ms 4880 KB answer = YES
61 Correct 4 ms 4444 KB answer = YES
62 Correct 44 ms 13652 KB answer = NO
63 Correct 48 ms 13904 KB answer = YES
64 Correct 43 ms 13908 KB answer = NO
65 Correct 47 ms 13904 KB answer = YES
66 Correct 4 ms 4188 KB answer = YES

Subtask #5
0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4188 KB answer = YES
2 Correct 2 ms 4188 KB answer = YES
3 Correct 1 ms 4188 KB answer = YES
4 Correct 1 ms 4188 KB answer = NO
5 Correct 1 ms 4188 KB answer = YES
6 Correct 1 ms 4188 KB answer = YES
7 Correct 1 ms 4188 KB answer = YES
8 Correct 1 ms 4188 KB answer = YES
9 Correct 1 ms 4080 KB answer = NO
10 Correct 1 ms 4188 KB answer = YES
11 Correct 1 ms 4188 KB answer = YES
12 Correct 1 ms 4188 KB answer = NO
13 Correct 1 ms 4188 KB answer = YES
14 Correct 1 ms 4188 KB answer = YES
15 Correct 1 ms 4184 KB answer = YES
16 Correct 1 ms 4188 KB answer = YES
17 Correct 2 ms 4188 KB answer = YES
18 Correct 1 ms 4188 KB answer = YES
19 Correct 2 ms 4188 KB answer = YES
20 Correct 1 ms 4188 KB answer = YES
21 Correct 1 ms 4188 KB answer = YES
22 Correct 1 ms 4188 KB answer = NO
23 Correct 1 ms 4188 KB answer = NO
24 Correct 2 ms 4188 KB answer = YES
25 Correct 1 ms 4188 KB answer = YES
26 Correct 1 ms 4188 KB answer = YES
27 Correct 1 ms 4188 KB answer = YES
28 Correct 1 ms 4188 KB answer = YES
29 Correct 1 ms 4188 KB answer = YES
30 Correct 2 ms 4188 KB answer = NO
31 Correct 1 ms 4188 KB answer = YES
32 Correct 1 ms 4188 KB answer = YES
33 Correct 2 ms 4188 KB answer = YES
34 Correct 2 ms 4188 KB answer = YES
35 Correct 2 ms 4188 KB answer = YES
36 Correct 1 ms 4188 KB answer = YES
37 Correct 2 ms 4028 KB answer = YES
38 Correct 2 ms 4188 KB answer = YES
39 Correct 2 ms 4188 KB answer = YES
40 Correct 3 ms 4188 KB answer = YES
41 Correct 2 ms 4188 KB answer = NO
42 Correct 3 ms 4188 KB answer = YES
43 Correct 4 ms 4188 KB answer = YES
44 Correct 3 ms 4188 KB answer = YES
45 Correct 2 ms 4276 KB answer = YES
46 Correct 2 ms 4384 KB answer = YES
47 Correct 2 ms 4188 KB answer = YES
48 Correct 2 ms 4188 KB answer = YES
49 Correct 32 ms 4892 KB answer = YES
50 Correct 27 ms 5324 KB answer = YES
51 Correct 22 ms 5464 KB answer = YES
52 Correct 18 ms 5208 KB answer = NO
53 Correct 3 ms 4188 KB answer = YES
54 Correct 5 ms 4188 KB answer = YES
55 Correct 12 ms 4440 KB answer = YES
56 Correct 28 ms 4700 KB answer = YES
57 Correct 26 ms 4956 KB answer = YES
58 Correct 18 ms 4696 KB answer = YES
59 Correct 7 ms 4700 KB answer = YES
60 Correct 24 ms 4880 KB answer = YES
61 Correct 4 ms 4444 KB answer = YES
62 Correct 44 ms 13652 KB answer = NO
63 Correct 48 ms 13904 KB answer = YES
64 Correct 43 ms 13908 KB answer = NO
65 Correct 47 ms 13904 KB answer = YES
66 Correct 4 ms 4188 KB answer = YES
67 Correct 191 ms 16276 KB answer = YES
68 Correct 213 ms 16072 KB answer = YES
69 Correct 204 ms 16004 KB answer = YES
70 Correct 538 ms 22232 KB answer = YES
71 Correct 256 ms 17768 KB answer = YES
72 Correct 431 ms 11476 KB answer = YES
73 Correct 390 ms 11476 KB answer = YES
74 Correct 182 ms 12568 KB answer = YES
75 Correct 169 ms 12244 KB answer = NO
76 Correct 36 ms 5212 KB answer = YES
77 Correct 77 ms 6224 KB answer = YES
78 Correct 151 ms 7544 KB answer = YES
79 Correct 308 ms 10452 KB answer = YES
80 Correct 202 ms 12752 KB answer = YES
81 Correct 327 ms 17276 KB answer = NO
82 Correct 414 ms 17596 KB answer = YES
83 Execution timed out 948 ms 17864 KB Time limit exceeded
84 Halted 0 ms 0 KB -