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Submission #1030594

# Submission time Handle Problem Language Result Execution time Memory
1030594 2024-07-22T07:22:40 Z 12345678 Graph (BOI20_graph) C++17
100 / 100
 86 ms 24900 KB 
#include <bits/stdc++.h>

using namespace std;

const int nx=1e5+5;

int n, m, u, v, w, a[nx], b[nx], f, vs[nx];
double res[nx];
vector<tuple<int, int, int>> d[nx];
vector<int> comp;
set<double> s;

void dfs(int u, int p)
{
    vs[u]=1;
    comp.push_back(u);
    for (auto [v, w, idx]:d[u])
    {
        if (idx==p) continue;
        if (vs[v])
        {
            int sma=a[u]+a[v], smb=b[u]+b[v];
            if (sma==0&&b[u]+b[v]==w) continue;
            else if (sma==0&&b[u]+b[v]!=w)
            {
                f=1;
                break;
            }
            s.insert(((double)(w-smb))/((double)sma));
        }
        else
        {
            a[v]=-a[u];
            b[v]=w-b[u];
            dfs(v, idx);
        }
    }
}
int main()
{
    cin.tie(NULL)->sync_with_stdio(false);
    cin>>n>>m;
    for (int i=1; i<=m; i++) cin>>u>>v>>w, d[u].push_back({v, w, i}), d[v].push_back({u, w, i});
    for (int i=1; i<=n; i++)
    {
        if (!vs[i])
        {
            comp.clear();
            s.clear();
            a[i]=1;
            dfs(i, -1);
            if (s.size()>1) f=1;
            else if (s.size()==1)
            {
                double vl=*s.begin();
                for (auto x:comp) res[x]=a[x]*vl+b[x];
            }
            else
            {
                vector<pair<int, int>> v;
                for (auto x:comp) if (a[x]!=0) v.push_back({(-b[x])/a[x], x});
                sort(v.begin(), v.end());
                int md=(v.size())/2;
                double t=0;
                if (!v.empty()) t=v[md].first;
                for (auto x:comp) res[x]=(double)t*a[x]+(double)b[x];
            }
        }
    }
    if (f) return cout<<"NO\n", 0;
    cout<<"YES\n";
    for (int i=1; i<=n; i++) cout<<setprecision(8)<<res[i]<<' ';
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4696 KB answer = YES
2 Correct 1 ms 4700 KB answer = YES
3 Correct 1 ms 4700 KB answer = YES
4 Correct 1 ms 4700 KB answer = NO
5 Correct 1 ms 4700 KB answer = YES
6 Correct 1 ms 4700 KB answer = YES
7 Correct 1 ms 4700 KB answer = YES
8 Correct 1 ms 4700 KB answer = YES
9 Correct 1 ms 4700 KB answer = NO
10 Correct 1 ms 4700 KB answer = YES
11 Correct 1 ms 4700 KB answer = YES
12 Correct 1 ms 4700 KB answer = NO
13 Correct 2 ms 4700 KB answer = YES
14 Correct 1 ms 4700 KB answer = YES
15 Correct 1 ms 4700 KB answer = YES
16 Correct 1 ms 4700 KB answer = YES
17 Correct 1 ms 4700 KB answer = YES
18 Correct 1 ms 4700 KB answer = YES
19 Correct 1 ms 4700 KB answer = YES
20 Correct 1 ms 4700 KB answer = YES
21 Correct 1 ms 4700 KB answer = YES
22 Correct 1 ms 2652 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4696 KB answer = YES
2 Correct 1 ms 4700 KB answer = YES
3 Correct 1 ms 4700 KB answer = YES
4 Correct 1 ms 4700 KB answer = NO
5 Correct 1 ms 4700 KB answer = YES
6 Correct 1 ms 4700 KB answer = YES
7 Correct 1 ms 4700 KB answer = YES
8 Correct 1 ms 4700 KB answer = YES
9 Correct 1 ms 4700 KB answer = NO
10 Correct 1 ms 4700 KB answer = YES
11 Correct 1 ms 4700 KB answer = YES
12 Correct 1 ms 4700 KB answer = NO
13 Correct 2 ms 4700 KB answer = YES
14 Correct 1 ms 4700 KB answer = YES
15 Correct 1 ms 4700 KB answer = YES
16 Correct 1 ms 4700 KB answer = YES
17 Correct 1 ms 4700 KB answer = YES
18 Correct 1 ms 4700 KB answer = YES
19 Correct 1 ms 4700 KB answer = YES
20 Correct 1 ms 4700 KB answer = YES
21 Correct 1 ms 4700 KB answer = YES
22 Correct 1 ms 2652 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO
24 Correct 1 ms 4696 KB answer = YES
25 Correct 1 ms 2652 KB answer = YES
26 Correct 1 ms 4700 KB answer = YES
27 Correct 1 ms 4700 KB answer = YES
28 Correct 1 ms 4700 KB answer = YES
29 Correct 1 ms 4700 KB answer = YES
30 Correct 1 ms 4700 KB answer = NO
31 Correct 1 ms 2652 KB answer = YES
32 Correct 1 ms 4700 KB answer = YES
33 Correct 1 ms 4700 KB answer = YES
34 Correct 1 ms 4700 KB answer = YES
35 Correct 1 ms 4696 KB answer = YES
36 Correct 1 ms 4700 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4696 KB answer = YES
2 Correct 1 ms 4700 KB answer = YES
3 Correct 1 ms 4700 KB answer = YES
4 Correct 1 ms 4700 KB answer = NO
5 Correct 1 ms 4700 KB answer = YES
6 Correct 1 ms 4700 KB answer = YES
7 Correct 1 ms 4700 KB answer = YES
8 Correct 1 ms 4700 KB answer = YES
9 Correct 1 ms 4700 KB answer = NO
10 Correct 1 ms 4700 KB answer = YES
11 Correct 1 ms 4700 KB answer = YES
12 Correct 1 ms 4700 KB answer = NO
13 Correct 2 ms 4700 KB answer = YES
14 Correct 1 ms 4700 KB answer = YES
15 Correct 1 ms 4700 KB answer = YES
16 Correct 1 ms 4700 KB answer = YES
17 Correct 1 ms 4700 KB answer = YES
18 Correct 1 ms 4700 KB answer = YES
19 Correct 1 ms 4700 KB answer = YES
20 Correct 1 ms 4700 KB answer = YES
21 Correct 1 ms 4700 KB answer = YES
22 Correct 1 ms 2652 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO
24 Correct 1 ms 4696 KB answer = YES
25 Correct 1 ms 2652 KB answer = YES
26 Correct 1 ms 4700 KB answer = YES
27 Correct 1 ms 4700 KB answer = YES
28 Correct 1 ms 4700 KB answer = YES
29 Correct 1 ms 4700 KB answer = YES
30 Correct 1 ms 4700 KB answer = NO
31 Correct 1 ms 2652 KB answer = YES
32 Correct 1 ms 4700 KB answer = YES
33 Correct 1 ms 4700 KB answer = YES
34 Correct 1 ms 4700 KB answer = YES
35 Correct 1 ms 4696 KB answer = YES
36 Correct 1 ms 4700 KB answer = YES
37 Correct 1 ms 4700 KB answer = YES
38 Correct 1 ms 2652 KB answer = YES
39 Correct 1 ms 4700 KB answer = YES
40 Correct 1 ms 2652 KB answer = YES
41 Correct 1 ms 4700 KB answer = NO
42 Correct 1 ms 2908 KB answer = YES
43 Correct 1 ms 2908 KB answer = YES
44 Correct 2 ms 2652 KB answer = YES
45 Correct 1 ms 4700 KB answer = YES
46 Correct 1 ms 2652 KB answer = YES
47 Correct 1 ms 4700 KB answer = YES
48 Correct 1 ms 4700 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4696 KB answer = YES
2 Correct 1 ms 4700 KB answer = YES
3 Correct 1 ms 4700 KB answer = YES
4 Correct 1 ms 4700 KB answer = NO
5 Correct 1 ms 4700 KB answer = YES
6 Correct 1 ms 4700 KB answer = YES
7 Correct 1 ms 4700 KB answer = YES
8 Correct 1 ms 4700 KB answer = YES
9 Correct 1 ms 4700 KB answer = NO
10 Correct 1 ms 4700 KB answer = YES
11 Correct 1 ms 4700 KB answer = YES
12 Correct 1 ms 4700 KB answer = NO
13 Correct 2 ms 4700 KB answer = YES
14 Correct 1 ms 4700 KB answer = YES
15 Correct 1 ms 4700 KB answer = YES
16 Correct 1 ms 4700 KB answer = YES
17 Correct 1 ms 4700 KB answer = YES
18 Correct 1 ms 4700 KB answer = YES
19 Correct 1 ms 4700 KB answer = YES
20 Correct 1 ms 4700 KB answer = YES
21 Correct 1 ms 4700 KB answer = YES
22 Correct 1 ms 2652 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO
24 Correct 1 ms 4696 KB answer = YES
25 Correct 1 ms 2652 KB answer = YES
26 Correct 1 ms 4700 KB answer = YES
27 Correct 1 ms 4700 KB answer = YES
28 Correct 1 ms 4700 KB answer = YES
29 Correct 1 ms 4700 KB answer = YES
30 Correct 1 ms 4700 KB answer = NO
31 Correct 1 ms 2652 KB answer = YES
32 Correct 1 ms 4700 KB answer = YES
33 Correct 1 ms 4700 KB answer = YES
34 Correct 1 ms 4700 KB answer = YES
35 Correct 1 ms 4696 KB answer = YES
36 Correct 1 ms 4700 KB answer = YES
37 Correct 1 ms 4700 KB answer = YES
38 Correct 1 ms 2652 KB answer = YES
39 Correct 1 ms 4700 KB answer = YES
40 Correct 1 ms 2652 KB answer = YES
41 Correct 1 ms 4700 KB answer = NO
42 Correct 1 ms 2908 KB answer = YES
43 Correct 1 ms 2908 KB answer = YES
44 Correct 2 ms 2652 KB answer = YES
45 Correct 1 ms 4700 KB answer = YES
46 Correct 1 ms 2652 KB answer = YES
47 Correct 1 ms 4700 KB answer = YES
48 Correct 1 ms 4700 KB answer = YES
49 Correct 10 ms 3672 KB answer = YES
50 Correct 6 ms 3932 KB answer = YES
51 Correct 7 ms 5724 KB answer = YES
52 Correct 5 ms 5740 KB answer = NO
53 Correct 1 ms 4700 KB answer = YES
54 Correct 2 ms 4912 KB answer = YES
55 Correct 4 ms 4956 KB answer = YES
56 Correct 6 ms 5360 KB answer = YES
57 Correct 6 ms 3420 KB answer = YES
58 Correct 5 ms 3420 KB answer = YES
59 Correct 5 ms 3416 KB answer = YES
60 Correct 6 ms 5208 KB answer = YES
61 Correct 3 ms 3164 KB answer = YES
62 Correct 36 ms 11912 KB answer = NO
63 Correct 41 ms 10576 KB answer = YES
64 Correct 40 ms 10400 KB answer = NO
65 Correct 42 ms 10436 KB answer = YES
66 Correct 2 ms 4700 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4696 KB answer = YES
2 Correct 1 ms 4700 KB answer = YES
3 Correct 1 ms 4700 KB answer = YES
4 Correct 1 ms 4700 KB answer = NO
5 Correct 1 ms 4700 KB answer = YES
6 Correct 1 ms 4700 KB answer = YES
7 Correct 1 ms 4700 KB answer = YES
8 Correct 1 ms 4700 KB answer = YES
9 Correct 1 ms 4700 KB answer = NO
10 Correct 1 ms 4700 KB answer = YES
11 Correct 1 ms 4700 KB answer = YES
12 Correct 1 ms 4700 KB answer = NO
13 Correct 2 ms 4700 KB answer = YES
14 Correct 1 ms 4700 KB answer = YES
15 Correct 1 ms 4700 KB answer = YES
16 Correct 1 ms 4700 KB answer = YES
17 Correct 1 ms 4700 KB answer = YES
18 Correct 1 ms 4700 KB answer = YES
19 Correct 1 ms 4700 KB answer = YES
20 Correct 1 ms 4700 KB answer = YES
21 Correct 1 ms 4700 KB answer = YES
22 Correct 1 ms 2652 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO
24 Correct 1 ms 4696 KB answer = YES
25 Correct 1 ms 2652 KB answer = YES
26 Correct 1 ms 4700 KB answer = YES
27 Correct 1 ms 4700 KB answer = YES
28 Correct 1 ms 4700 KB answer = YES
29 Correct 1 ms 4700 KB answer = YES
30 Correct 1 ms 4700 KB answer = NO
31 Correct 1 ms 2652 KB answer = YES
32 Correct 1 ms 4700 KB answer = YES
33 Correct 1 ms 4700 KB answer = YES
34 Correct 1 ms 4700 KB answer = YES
35 Correct 1 ms 4696 KB answer = YES
36 Correct 1 ms 4700 KB answer = YES
37 Correct 1 ms 4700 KB answer = YES
38 Correct 1 ms 2652 KB answer = YES
39 Correct 1 ms 4700 KB answer = YES
40 Correct 1 ms 2652 KB answer = YES
41 Correct 1 ms 4700 KB answer = NO
42 Correct 1 ms 2908 KB answer = YES
43 Correct 1 ms 2908 KB answer = YES
44 Correct 2 ms 2652 KB answer = YES
45 Correct 1 ms 4700 KB answer = YES
46 Correct 1 ms 2652 KB answer = YES
47 Correct 1 ms 4700 KB answer = YES
48 Correct 1 ms 4700 KB answer = YES
49 Correct 10 ms 3672 KB answer = YES
50 Correct 6 ms 3932 KB answer = YES
51 Correct 7 ms 5724 KB answer = YES
52 Correct 5 ms 5740 KB answer = NO
53 Correct 1 ms 4700 KB answer = YES
54 Correct 2 ms 4912 KB answer = YES
55 Correct 4 ms 4956 KB answer = YES
56 Correct 6 ms 5360 KB answer = YES
57 Correct 6 ms 3420 KB answer = YES
58 Correct 5 ms 3420 KB answer = YES
59 Correct 5 ms 3416 KB answer = YES
60 Correct 6 ms 5208 KB answer = YES
61 Correct 3 ms 3164 KB answer = YES
62 Correct 36 ms 11912 KB answer = NO
63 Correct 41 ms 10576 KB answer = YES
64 Correct 40 ms 10400 KB answer = NO
65 Correct 42 ms 10436 KB answer = YES
66 Correct 2 ms 4700 KB answer = YES
67 Correct 78 ms 18508 KB answer = YES
68 Correct 74 ms 19788 KB answer = YES
69 Correct 47 ms 18896 KB answer = YES
70 Correct 70 ms 24900 KB answer = YES
71 Correct 55 ms 19144 KB answer = YES
72 Correct 59 ms 11344 KB answer = YES
73 Correct 52 ms 10704 KB answer = YES
74 Correct 35 ms 12760 KB answer = YES
75 Correct 23 ms 13008 KB answer = NO
76 Correct 7 ms 5468 KB answer = YES
77 Correct 14 ms 6492 KB answer = YES
78 Correct 25 ms 7876 KB answer = YES
79 Correct 49 ms 9808 KB answer = YES
80 Correct 41 ms 12380 KB answer = YES
81 Correct 28 ms 13040 KB answer = NO
82 Correct 58 ms 17356 KB answer = YES
83 Correct 79 ms 18120 KB answer = YES
84 Correct 69 ms 18764 KB answer = YES
85 Correct 57 ms 18764 KB answer = YES
86 Correct 50 ms 18008 KB answer = YES
87 Correct 32 ms 11112 KB answer = NO
88 Correct 59 ms 12460 KB answer = YES
89 Correct 52 ms 8020 KB answer = YES
90 Correct 50 ms 8016 KB answer = YES
91 Correct 52 ms 8044 KB answer = YES
92 Correct 29 ms 6360 KB answer = YES
93 Correct 24 ms 6356 KB answer = YES
94 Correct 48 ms 18764 KB answer = NO
95 Correct 27 ms 7772 KB answer = NO
96 Correct 86 ms 19148 KB answer = YES
97 Correct 31 ms 18512 KB answer = NO