oj.uz

Submission #1105878

# Submission time Handle Problem Language Result Execution time Memory
1105878 2024-10-28T08:29:54 Z DangKhoizzzz Graph (BOI20_graph) C++14
100 / 100
 122 ms 30168 KB 
#include <bits/stdc++.h>
#define int long long
#define fi first
#define se second

using namespace std;

typedef pair <int , int> pii;

const int maxn = 2e5 + 7;

int n , m;
double ans[maxn];
vector <pii> g[maxn];
bool vis[maxn];
pair <double , double> val[maxn];

vector <int> node;
bool conf;
double found;


void dfs(int u , int p)
{
    vis[u] = 1;
    node.push_back(u);
    for(pii tmp: g[u])
    {

        int v = tmp.fi;
        int w = tmp.se;

        if(v == p) continue;

        if(!vis[v])
        {
            val[v].fi = -1*val[u].fi;
            val[v].se = w - val[u].se;
            dfs(v , u);
        }
        else if(val[v].fi == val[u].fi)
        {
            conf = 1; 
            found = (1.0*(w - val[v].se - val[u].se)/2.0)*val[v].fi;
        }
    }
}

void solve()
{
    cin >> n >> m;
    for(int i = 1; i <= m; i++)
    {
        int u , v , w; 
        cin >> u >> v >> w;
        g[u].push_back({v , w});
        g[v].push_back({u , w});
    }


    for(int i = 1; i <= n; i++)
    {
        if(!vis[i])
        {
            node.clear();
            conf = 0; 

            val[i].fi = 1.0;
            val[i].se = 0.0;

            dfs(i , 0);

            if(conf == 0)
            {
                vector <int> v;
                for(int u: node) 
                {
                    if(val[u].fi < 0) v.push_back(val[u].se);
                    else v.push_back(val[u].se*-1.0);
                }
                sort(v.begin() , v.end());

                found = v[((int)(v.size()) - 1)/2];

                //cout << found << '\n';
            }

            for(int u: node) 
            {
                ans[u] = found*val[u].fi + val[u].se;
            }
        }
    }

    for(int u = 1; u <= n; u++)
    {
        for(pii tmp: g[u])
        {
            int v = tmp.fi;
            int w = tmp.se;

            if(ans[u] + ans[v] != w)
            {
                cout << "NO" << '\n';
                return;
            }
        }
    }

    cout << "YES" << '\n';

    for(int u = 1; u <= n; u++) cout << ans[u] << ' ';
}

signed main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(0); cout.tie(0);
    //freopen("sol.inp" ,"r" , stdin);
    //freopen("sol.out" , "w" , stdout);
    solve();
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6480 KB answer = YES
2 Correct 2 ms 6652 KB answer = YES
3 Correct 2 ms 6620 KB answer = YES
4 Correct 1 ms 6480 KB answer = NO
5 Correct 2 ms 6480 KB answer = YES
6 Correct 1 ms 6480 KB answer = YES
7 Correct 2 ms 6480 KB answer = YES
8 Correct 2 ms 6480 KB answer = YES
9 Correct 1 ms 6628 KB answer = NO
10 Correct 3 ms 6480 KB answer = YES
11 Correct 3 ms 6480 KB answer = YES
12 Correct 2 ms 6480 KB answer = NO
13 Correct 2 ms 6480 KB answer = YES
14 Correct 2 ms 6480 KB answer = YES
15 Correct 2 ms 6480 KB answer = YES
16 Correct 2 ms 6480 KB answer = YES
17 Correct 2 ms 6480 KB answer = YES
18 Correct 2 ms 6628 KB answer = YES
19 Correct 2 ms 6480 KB answer = YES
20 Correct 2 ms 6480 KB answer = YES
21 Correct 2 ms 6480 KB answer = YES
22 Correct 2 ms 6480 KB answer = NO
23 Correct 2 ms 6480 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6480 KB answer = YES
2 Correct 2 ms 6652 KB answer = YES
3 Correct 2 ms 6620 KB answer = YES
4 Correct 1 ms 6480 KB answer = NO
5 Correct 2 ms 6480 KB answer = YES
6 Correct 1 ms 6480 KB answer = YES
7 Correct 2 ms 6480 KB answer = YES
8 Correct 2 ms 6480 KB answer = YES
9 Correct 1 ms 6628 KB answer = NO
10 Correct 3 ms 6480 KB answer = YES
11 Correct 3 ms 6480 KB answer = YES
12 Correct 2 ms 6480 KB answer = NO
13 Correct 2 ms 6480 KB answer = YES
14 Correct 2 ms 6480 KB answer = YES
15 Correct 2 ms 6480 KB answer = YES
16 Correct 2 ms 6480 KB answer = YES
17 Correct 2 ms 6480 KB answer = YES
18 Correct 2 ms 6628 KB answer = YES
19 Correct 2 ms 6480 KB answer = YES
20 Correct 2 ms 6480 KB answer = YES
21 Correct 2 ms 6480 KB answer = YES
22 Correct 2 ms 6480 KB answer = NO
23 Correct 2 ms 6480 KB answer = NO
24 Correct 2 ms 6480 KB answer = YES
25 Correct 2 ms 6628 KB answer = YES
26 Correct 2 ms 6480 KB answer = YES
27 Correct 2 ms 6480 KB answer = YES
28 Correct 2 ms 6480 KB answer = YES
29 Correct 2 ms 6480 KB answer = YES
30 Correct 2 ms 6480 KB answer = NO
31 Correct 2 ms 6480 KB answer = YES
32 Correct 2 ms 6480 KB answer = YES
33 Correct 2 ms 6568 KB answer = YES
34 Correct 2 ms 6480 KB answer = YES
35 Correct 2 ms 6480 KB answer = YES
36 Correct 2 ms 6480 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6480 KB answer = YES
2 Correct 2 ms 6652 KB answer = YES
3 Correct 2 ms 6620 KB answer = YES
4 Correct 1 ms 6480 KB answer = NO
5 Correct 2 ms 6480 KB answer = YES
6 Correct 1 ms 6480 KB answer = YES
7 Correct 2 ms 6480 KB answer = YES
8 Correct 2 ms 6480 KB answer = YES
9 Correct 1 ms 6628 KB answer = NO
10 Correct 3 ms 6480 KB answer = YES
11 Correct 3 ms 6480 KB answer = YES
12 Correct 2 ms 6480 KB answer = NO
13 Correct 2 ms 6480 KB answer = YES
14 Correct 2 ms 6480 KB answer = YES
15 Correct 2 ms 6480 KB answer = YES
16 Correct 2 ms 6480 KB answer = YES
17 Correct 2 ms 6480 KB answer = YES
18 Correct 2 ms 6628 KB answer = YES
19 Correct 2 ms 6480 KB answer = YES
20 Correct 2 ms 6480 KB answer = YES
21 Correct 2 ms 6480 KB answer = YES
22 Correct 2 ms 6480 KB answer = NO
23 Correct 2 ms 6480 KB answer = NO
24 Correct 2 ms 6480 KB answer = YES
25 Correct 2 ms 6628 KB answer = YES
26 Correct 2 ms 6480 KB answer = YES
27 Correct 2 ms 6480 KB answer = YES
28 Correct 2 ms 6480 KB answer = YES
29 Correct 2 ms 6480 KB answer = YES
30 Correct 2 ms 6480 KB answer = NO
31 Correct 2 ms 6480 KB answer = YES
32 Correct 2 ms 6480 KB answer = YES
33 Correct 2 ms 6568 KB answer = YES
34 Correct 2 ms 6480 KB answer = YES
35 Correct 2 ms 6480 KB answer = YES
36 Correct 2 ms 6480 KB answer = YES
37 Correct 2 ms 6480 KB answer = YES
38 Correct 2 ms 6480 KB answer = YES
39 Correct 3 ms 6692 KB answer = YES
40 Correct 3 ms 6652 KB answer = YES
41 Correct 2 ms 6480 KB answer = NO
42 Correct 3 ms 6736 KB answer = YES
43 Correct 3 ms 6480 KB answer = YES
44 Correct 2 ms 6480 KB answer = YES
45 Correct 3 ms 6480 KB answer = YES
46 Correct 2 ms 6480 KB answer = YES
47 Correct 3 ms 6480 KB answer = YES
48 Correct 3 ms 6480 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6480 KB answer = YES
2 Correct 2 ms 6652 KB answer = YES
3 Correct 2 ms 6620 KB answer = YES
4 Correct 1 ms 6480 KB answer = NO
5 Correct 2 ms 6480 KB answer = YES
6 Correct 1 ms 6480 KB answer = YES
7 Correct 2 ms 6480 KB answer = YES
8 Correct 2 ms 6480 KB answer = YES
9 Correct 1 ms 6628 KB answer = NO
10 Correct 3 ms 6480 KB answer = YES
11 Correct 3 ms 6480 KB answer = YES
12 Correct 2 ms 6480 KB answer = NO
13 Correct 2 ms 6480 KB answer = YES
14 Correct 2 ms 6480 KB answer = YES
15 Correct 2 ms 6480 KB answer = YES
16 Correct 2 ms 6480 KB answer = YES
17 Correct 2 ms 6480 KB answer = YES
18 Correct 2 ms 6628 KB answer = YES
19 Correct 2 ms 6480 KB answer = YES
20 Correct 2 ms 6480 KB answer = YES
21 Correct 2 ms 6480 KB answer = YES
22 Correct 2 ms 6480 KB answer = NO
23 Correct 2 ms 6480 KB answer = NO
24 Correct 2 ms 6480 KB answer = YES
25 Correct 2 ms 6628 KB answer = YES
26 Correct 2 ms 6480 KB answer = YES
27 Correct 2 ms 6480 KB answer = YES
28 Correct 2 ms 6480 KB answer = YES
29 Correct 2 ms 6480 KB answer = YES
30 Correct 2 ms 6480 KB answer = NO
31 Correct 2 ms 6480 KB answer = YES
32 Correct 2 ms 6480 KB answer = YES
33 Correct 2 ms 6568 KB answer = YES
34 Correct 2 ms 6480 KB answer = YES
35 Correct 2 ms 6480 KB answer = YES
36 Correct 2 ms 6480 KB answer = YES
37 Correct 2 ms 6480 KB answer = YES
38 Correct 2 ms 6480 KB answer = YES
39 Correct 3 ms 6692 KB answer = YES
40 Correct 3 ms 6652 KB answer = YES
41 Correct 2 ms 6480 KB answer = NO
42 Correct 3 ms 6736 KB answer = YES
43 Correct 3 ms 6480 KB answer = YES
44 Correct 2 ms 6480 KB answer = YES
45 Correct 3 ms 6480 KB answer = YES
46 Correct 2 ms 6480 KB answer = YES
47 Correct 3 ms 6480 KB answer = YES
48 Correct 3 ms 6480 KB answer = YES
49 Correct 8 ms 7504 KB answer = YES
50 Correct 9 ms 7760 KB answer = YES
51 Correct 8 ms 7936 KB answer = YES
52 Correct 5 ms 7760 KB answer = NO
53 Correct 2 ms 6912 KB answer = YES
54 Correct 3 ms 6736 KB answer = YES
55 Correct 4 ms 7144 KB answer = YES
56 Correct 7 ms 7572 KB answer = YES
57 Correct 7 ms 7248 KB answer = YES
58 Correct 6 ms 7504 KB answer = YES
59 Correct 7 ms 7248 KB answer = YES
60 Correct 7 ms 7504 KB answer = YES
61 Correct 4 ms 6992 KB answer = YES
62 Correct 48 ms 18760 KB answer = NO
63 Correct 57 ms 18760 KB answer = YES
64 Correct 50 ms 18756 KB answer = NO
65 Correct 53 ms 18736 KB answer = YES
66 Correct 4 ms 6736 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6480 KB answer = YES
2 Correct 2 ms 6652 KB answer = YES
3 Correct 2 ms 6620 KB answer = YES
4 Correct 1 ms 6480 KB answer = NO
5 Correct 2 ms 6480 KB answer = YES
6 Correct 1 ms 6480 KB answer = YES
7 Correct 2 ms 6480 KB answer = YES
8 Correct 2 ms 6480 KB answer = YES
9 Correct 1 ms 6628 KB answer = NO
10 Correct 3 ms 6480 KB answer = YES
11 Correct 3 ms 6480 KB answer = YES
12 Correct 2 ms 6480 KB answer = NO
13 Correct 2 ms 6480 KB answer = YES
14 Correct 2 ms 6480 KB answer = YES
15 Correct 2 ms 6480 KB answer = YES
16 Correct 2 ms 6480 KB answer = YES
17 Correct 2 ms 6480 KB answer = YES
18 Correct 2 ms 6628 KB answer = YES
19 Correct 2 ms 6480 KB answer = YES
20 Correct 2 ms 6480 KB answer = YES
21 Correct 2 ms 6480 KB answer = YES
22 Correct 2 ms 6480 KB answer = NO
23 Correct 2 ms 6480 KB answer = NO
24 Correct 2 ms 6480 KB answer = YES
25 Correct 2 ms 6628 KB answer = YES
26 Correct 2 ms 6480 KB answer = YES
27 Correct 2 ms 6480 KB answer = YES
28 Correct 2 ms 6480 KB answer = YES
29 Correct 2 ms 6480 KB answer = YES
30 Correct 2 ms 6480 KB answer = NO
31 Correct 2 ms 6480 KB answer = YES
32 Correct 2 ms 6480 KB answer = YES
33 Correct 2 ms 6568 KB answer = YES
34 Correct 2 ms 6480 KB answer = YES
35 Correct 2 ms 6480 KB answer = YES
36 Correct 2 ms 6480 KB answer = YES
37 Correct 2 ms 6480 KB answer = YES
38 Correct 2 ms 6480 KB answer = YES
39 Correct 3 ms 6692 KB answer = YES
40 Correct 3 ms 6652 KB answer = YES
41 Correct 2 ms 6480 KB answer = NO
42 Correct 3 ms 6736 KB answer = YES
43 Correct 3 ms 6480 KB answer = YES
44 Correct 2 ms 6480 KB answer = YES
45 Correct 3 ms 6480 KB answer = YES
46 Correct 2 ms 6480 KB answer = YES
47 Correct 3 ms 6480 KB answer = YES
48 Correct 3 ms 6480 KB answer = YES
49 Correct 8 ms 7504 KB answer = YES
50 Correct 9 ms 7760 KB answer = YES
51 Correct 8 ms 7936 KB answer = YES
52 Correct 5 ms 7760 KB answer = NO
53 Correct 2 ms 6912 KB answer = YES
54 Correct 3 ms 6736 KB answer = YES
55 Correct 4 ms 7144 KB answer = YES
56 Correct 7 ms 7572 KB answer = YES
57 Correct 7 ms 7248 KB answer = YES
58 Correct 6 ms 7504 KB answer = YES
59 Correct 7 ms 7248 KB answer = YES
60 Correct 7 ms 7504 KB answer = YES
61 Correct 4 ms 6992 KB answer = YES
62 Correct 48 ms 18760 KB answer = NO
63 Correct 57 ms 18760 KB answer = YES
64 Correct 50 ms 18756 KB answer = NO
65 Correct 53 ms 18736 KB answer = YES
66 Correct 4 ms 6736 KB answer = YES
67 Correct 64 ms 23228 KB answer = YES
68 Correct 74 ms 23236 KB answer = YES
69 Correct 57 ms 22664 KB answer = YES
70 Correct 82 ms 30168 KB answer = YES
71 Correct 62 ms 22716 KB answer = YES
72 Correct 69 ms 17644 KB answer = YES
73 Correct 76 ms 16704 KB answer = YES
74 Correct 43 ms 16984 KB answer = YES
75 Correct 26 ms 17148 KB answer = NO
76 Correct 14 ms 10064 KB answer = YES
77 Correct 19 ms 10960 KB answer = YES
78 Correct 26 ms 12488 KB answer = YES
79 Correct 51 ms 16400 KB answer = YES
80 Correct 44 ms 17100 KB answer = YES
81 Correct 31 ms 19328 KB answer = NO
82 Correct 73 ms 22436 KB answer = YES
83 Correct 75 ms 23264 KB answer = YES
84 Correct 81 ms 23816 KB answer = YES
85 Correct 59 ms 23300 KB answer = YES
86 Correct 67 ms 22772 KB answer = YES
87 Correct 43 ms 18532 KB answer = NO
88 Correct 74 ms 19388 KB answer = YES
89 Correct 77 ms 15604 KB answer = YES
90 Correct 63 ms 15376 KB answer = YES
91 Correct 72 ms 16160 KB answer = YES
92 Correct 32 ms 12744 KB answer = YES
93 Correct 43 ms 12736 KB answer = YES
94 Correct 58 ms 23996 KB answer = NO
95 Correct 36 ms 15688 KB answer = NO
96 Correct 122 ms 27272 KB answer = YES
97 Correct 36 ms 23228 KB answer = NO