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Submission #1030616

# Submission time Handle Problem Language Result Execution time Memory
1030616 2024-07-22T07:39:45 Z ttamx Graph (BOI20_graph) C++17
100 / 100
 115 ms 20292 KB 
#include<bits/stdc++.h>

using namespace std;

using db = long double;
using ll = long long;

const db EPS=1e-12;
const db INVPHI=(sqrt(db(5))-1)/2;

int main(){
    cin.tie(nullptr)->sync_with_stdio(false);
    int n,m;
    cin >> n >> m;
    vector<vector<pair<int,int>>> adj(n);
    for(int i=0;i<m;i++){
        int u,v,w;
        cin >> u >> v >> w;
        u--,v--;
        adj[u].emplace_back(v,w);
        adj[v].emplace_back(u,w);
    }
    vector<bool> vis(n);
    vector<ll> a(n),b(n);
    vector<int> comp;
    pair<ll,ll> val;
    bool found=false;
    function<void(int)> dfs=[&](int u){
        comp.emplace_back(u);
        vis[u]=true;
        for(auto [v,w]:adj[u]){
            if(!vis[v]){
                a[v]=-a[u];
                b[v]=w-b[u];
                dfs(v);
            }else{
                if(a[u]+a[v]==0){
                    if(b[u]+b[v]!=w){
                        cout << "NO",exit(0);
                    }
                }else{
                    ll num=w-b[u]-b[v];
                    ll den=a[u]+a[v];
                    if(!found){
                        found=true;
                        val={num,den};
                    }else if(num*val.second!=val.first*den){
                        cout << "NO",exit(0);
                    }
                }
            }
        }
    };
    vector<db> ans(n);
    for(int i=0;i<n;i++)if(!vis[i]){
        comp.clear();
        found=false;
        a[i]=1,b[i]=0;
        dfs(i);
        auto calc=[&](db x){
            db res=0.0;
            for(auto u:comp){
                res+=abs(a[u]*x+b[u]);
            }
            return res;
        };
        auto answer=[&](db x){
            for(auto u:comp){
                ans[u]=a[u]*x+b[u];
            }
        };
        if(found){
            db x=db(val.first)/db(val.second);
            answer(x);
        }else{
            db m=comp.size();
            db l=-m,r=m;
            while(r-l>EPS){
                db s=(r-l)*INVPHI;
                db l2=r-s,r2=l+s;
                if(calc(l2)<calc(r2))r=r2;
                else l=l2;
            }
            answer((l+r)/2.0);
        }
    }
    cout << fixed << setprecision(10);
    cout << "YES\n";
    for(auto x:ans)cout << x << " ";
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB answer = YES
2 Correct 0 ms 344 KB answer = YES
3 Correct 0 ms 348 KB answer = YES
4 Correct 0 ms 348 KB answer = NO
5 Correct 0 ms 348 KB answer = YES
6 Correct 0 ms 348 KB answer = YES
7 Correct 0 ms 348 KB answer = YES
8 Correct 0 ms 348 KB answer = YES
9 Correct 0 ms 348 KB answer = NO
10 Correct 0 ms 348 KB answer = YES
11 Correct 0 ms 348 KB answer = YES
12 Correct 0 ms 348 KB answer = NO
13 Correct 0 ms 348 KB answer = YES
14 Correct 0 ms 348 KB answer = YES
15 Correct 0 ms 348 KB answer = YES
16 Correct 0 ms 348 KB answer = YES
17 Correct 0 ms 348 KB answer = YES
18 Correct 0 ms 348 KB answer = YES
19 Correct 0 ms 348 KB answer = YES
20 Correct 0 ms 348 KB answer = YES
21 Correct 0 ms 348 KB answer = YES
22 Correct 0 ms 344 KB answer = NO
23 Correct 0 ms 348 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB answer = YES
2 Correct 0 ms 344 KB answer = YES
3 Correct 0 ms 348 KB answer = YES
4 Correct 0 ms 348 KB answer = NO
5 Correct 0 ms 348 KB answer = YES
6 Correct 0 ms 348 KB answer = YES
7 Correct 0 ms 348 KB answer = YES
8 Correct 0 ms 348 KB answer = YES
9 Correct 0 ms 348 KB answer = NO
10 Correct 0 ms 348 KB answer = YES
11 Correct 0 ms 348 KB answer = YES
12 Correct 0 ms 348 KB answer = NO
13 Correct 0 ms 348 KB answer = YES
14 Correct 0 ms 348 KB answer = YES
15 Correct 0 ms 348 KB answer = YES
16 Correct 0 ms 348 KB answer = YES
17 Correct 0 ms 348 KB answer = YES
18 Correct 0 ms 348 KB answer = YES
19 Correct 0 ms 348 KB answer = YES
20 Correct 0 ms 348 KB answer = YES
21 Correct 0 ms 348 KB answer = YES
22 Correct 0 ms 344 KB answer = NO
23 Correct 0 ms 348 KB answer = NO
24 Correct 0 ms 348 KB answer = YES
25 Correct 0 ms 348 KB answer = YES
26 Correct 0 ms 348 KB answer = YES
27 Correct 0 ms 348 KB answer = YES
28 Correct 0 ms 348 KB answer = YES
29 Correct 0 ms 348 KB answer = YES
30 Correct 0 ms 348 KB answer = NO
31 Correct 0 ms 348 KB answer = YES
32 Correct 0 ms 348 KB answer = YES
33 Correct 0 ms 348 KB answer = YES
34 Correct 0 ms 348 KB answer = YES
35 Correct 1 ms 348 KB answer = YES
36 Correct 0 ms 348 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB answer = YES
2 Correct 0 ms 344 KB answer = YES
3 Correct 0 ms 348 KB answer = YES
4 Correct 0 ms 348 KB answer = NO
5 Correct 0 ms 348 KB answer = YES
6 Correct 0 ms 348 KB answer = YES
7 Correct 0 ms 348 KB answer = YES
8 Correct 0 ms 348 KB answer = YES
9 Correct 0 ms 348 KB answer = NO
10 Correct 0 ms 348 KB answer = YES
11 Correct 0 ms 348 KB answer = YES
12 Correct 0 ms 348 KB answer = NO
13 Correct 0 ms 348 KB answer = YES
14 Correct 0 ms 348 KB answer = YES
15 Correct 0 ms 348 KB answer = YES
16 Correct 0 ms 348 KB answer = YES
17 Correct 0 ms 348 KB answer = YES
18 Correct 0 ms 348 KB answer = YES
19 Correct 0 ms 348 KB answer = YES
20 Correct 0 ms 348 KB answer = YES
21 Correct 0 ms 348 KB answer = YES
22 Correct 0 ms 344 KB answer = NO
23 Correct 0 ms 348 KB answer = NO
24 Correct 0 ms 348 KB answer = YES
25 Correct 0 ms 348 KB answer = YES
26 Correct 0 ms 348 KB answer = YES
27 Correct 0 ms 348 KB answer = YES
28 Correct 0 ms 348 KB answer = YES
29 Correct 0 ms 348 KB answer = YES
30 Correct 0 ms 348 KB answer = NO
31 Correct 0 ms 348 KB answer = YES
32 Correct 0 ms 348 KB answer = YES
33 Correct 0 ms 348 KB answer = YES
34 Correct 0 ms 348 KB answer = YES
35 Correct 1 ms 348 KB answer = YES
36 Correct 0 ms 348 KB answer = YES
37 Correct 0 ms 348 KB answer = YES
38 Correct 0 ms 348 KB answer = YES
39 Correct 1 ms 348 KB answer = YES
40 Correct 1 ms 344 KB answer = YES
41 Correct 1 ms 344 KB answer = NO
42 Correct 1 ms 348 KB answer = YES
43 Correct 1 ms 348 KB answer = YES
44 Correct 1 ms 348 KB answer = YES
45 Correct 1 ms 344 KB answer = YES
46 Correct 1 ms 348 KB answer = YES
47 Correct 1 ms 348 KB answer = YES
48 Correct 1 ms 344 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB answer = YES
2 Correct 0 ms 344 KB answer = YES
3 Correct 0 ms 348 KB answer = YES
4 Correct 0 ms 348 KB answer = NO
5 Correct 0 ms 348 KB answer = YES
6 Correct 0 ms 348 KB answer = YES
7 Correct 0 ms 348 KB answer = YES
8 Correct 0 ms 348 KB answer = YES
9 Correct 0 ms 348 KB answer = NO
10 Correct 0 ms 348 KB answer = YES
11 Correct 0 ms 348 KB answer = YES
12 Correct 0 ms 348 KB answer = NO
13 Correct 0 ms 348 KB answer = YES
14 Correct 0 ms 348 KB answer = YES
15 Correct 0 ms 348 KB answer = YES
16 Correct 0 ms 348 KB answer = YES
17 Correct 0 ms 348 KB answer = YES
18 Correct 0 ms 348 KB answer = YES
19 Correct 0 ms 348 KB answer = YES
20 Correct 0 ms 348 KB answer = YES
21 Correct 0 ms 348 KB answer = YES
22 Correct 0 ms 344 KB answer = NO
23 Correct 0 ms 348 KB answer = NO
24 Correct 0 ms 348 KB answer = YES
25 Correct 0 ms 348 KB answer = YES
26 Correct 0 ms 348 KB answer = YES
27 Correct 0 ms 348 KB answer = YES
28 Correct 0 ms 348 KB answer = YES
29 Correct 0 ms 348 KB answer = YES
30 Correct 0 ms 348 KB answer = NO
31 Correct 0 ms 348 KB answer = YES
32 Correct 0 ms 348 KB answer = YES
33 Correct 0 ms 348 KB answer = YES
34 Correct 0 ms 348 KB answer = YES
35 Correct 1 ms 348 KB answer = YES
36 Correct 0 ms 348 KB answer = YES
37 Correct 0 ms 348 KB answer = YES
38 Correct 0 ms 348 KB answer = YES
39 Correct 1 ms 348 KB answer = YES
40 Correct 1 ms 344 KB answer = YES
41 Correct 1 ms 344 KB answer = NO
42 Correct 1 ms 348 KB answer = YES
43 Correct 1 ms 348 KB answer = YES
44 Correct 1 ms 348 KB answer = YES
45 Correct 1 ms 344 KB answer = YES
46 Correct 1 ms 348 KB answer = YES
47 Correct 1 ms 348 KB answer = YES
48 Correct 1 ms 344 KB answer = YES
49 Correct 9 ms 1628 KB answer = YES
50 Correct 7 ms 1880 KB answer = YES
51 Correct 10 ms 1880 KB answer = YES
52 Correct 2 ms 1368 KB answer = NO
53 Correct 1 ms 348 KB answer = YES
54 Correct 2 ms 604 KB answer = YES
55 Correct 5 ms 856 KB answer = YES
56 Correct 9 ms 1372 KB answer = YES
57 Correct 10 ms 1372 KB answer = YES
58 Correct 8 ms 1372 KB answer = YES
59 Correct 5 ms 1368 KB answer = YES
60 Correct 9 ms 1512 KB answer = YES
61 Correct 3 ms 860 KB answer = YES
62 Correct 32 ms 5464 KB answer = NO
63 Correct 44 ms 5952 KB answer = YES
64 Correct 34 ms 5972 KB answer = NO
65 Correct 38 ms 6132 KB answer = YES
66 Correct 2 ms 604 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB answer = YES
2 Correct 0 ms 344 KB answer = YES
3 Correct 0 ms 348 KB answer = YES
4 Correct 0 ms 348 KB answer = NO
5 Correct 0 ms 348 KB answer = YES
6 Correct 0 ms 348 KB answer = YES
7 Correct 0 ms 348 KB answer = YES
8 Correct 0 ms 348 KB answer = YES
9 Correct 0 ms 348 KB answer = NO
10 Correct 0 ms 348 KB answer = YES
11 Correct 0 ms 348 KB answer = YES
12 Correct 0 ms 348 KB answer = NO
13 Correct 0 ms 348 KB answer = YES
14 Correct 0 ms 348 KB answer = YES
15 Correct 0 ms 348 KB answer = YES
16 Correct 0 ms 348 KB answer = YES
17 Correct 0 ms 348 KB answer = YES
18 Correct 0 ms 348 KB answer = YES
19 Correct 0 ms 348 KB answer = YES
20 Correct 0 ms 348 KB answer = YES
21 Correct 0 ms 348 KB answer = YES
22 Correct 0 ms 344 KB answer = NO
23 Correct 0 ms 348 KB answer = NO
24 Correct 0 ms 348 KB answer = YES
25 Correct 0 ms 348 KB answer = YES
26 Correct 0 ms 348 KB answer = YES
27 Correct 0 ms 348 KB answer = YES
28 Correct 0 ms 348 KB answer = YES
29 Correct 0 ms 348 KB answer = YES
30 Correct 0 ms 348 KB answer = NO
31 Correct 0 ms 348 KB answer = YES
32 Correct 0 ms 348 KB answer = YES
33 Correct 0 ms 348 KB answer = YES
34 Correct 0 ms 348 KB answer = YES
35 Correct 1 ms 348 KB answer = YES
36 Correct 0 ms 348 KB answer = YES
37 Correct 0 ms 348 KB answer = YES
38 Correct 0 ms 348 KB answer = YES
39 Correct 1 ms 348 KB answer = YES
40 Correct 1 ms 344 KB answer = YES
41 Correct 1 ms 344 KB answer = NO
42 Correct 1 ms 348 KB answer = YES
43 Correct 1 ms 348 KB answer = YES
44 Correct 1 ms 348 KB answer = YES
45 Correct 1 ms 344 KB answer = YES
46 Correct 1 ms 348 KB answer = YES
47 Correct 1 ms 348 KB answer = YES
48 Correct 1 ms 344 KB answer = YES
49 Correct 9 ms 1628 KB answer = YES
50 Correct 7 ms 1880 KB answer = YES
51 Correct 10 ms 1880 KB answer = YES
52 Correct 2 ms 1368 KB answer = NO
53 Correct 1 ms 348 KB answer = YES
54 Correct 2 ms 604 KB answer = YES
55 Correct 5 ms 856 KB answer = YES
56 Correct 9 ms 1372 KB answer = YES
57 Correct 10 ms 1372 KB answer = YES
58 Correct 8 ms 1372 KB answer = YES
59 Correct 5 ms 1368 KB answer = YES
60 Correct 9 ms 1512 KB answer = YES
61 Correct 3 ms 860 KB answer = YES
62 Correct 32 ms 5464 KB answer = NO
63 Correct 44 ms 5952 KB answer = YES
64 Correct 34 ms 5972 KB answer = NO
65 Correct 38 ms 6132 KB answer = YES
66 Correct 2 ms 604 KB answer = YES
67 Correct 100 ms 17100 KB answer = YES
68 Correct 100 ms 17352 KB answer = YES
69 Correct 54 ms 17112 KB answer = YES
70 Correct 74 ms 20292 KB answer = YES
71 Correct 56 ms 17144 KB answer = YES
72 Correct 103 ms 11468 KB answer = YES
73 Correct 58 ms 11468 KB answer = YES
74 Correct 43 ms 10484 KB answer = YES
75 Correct 15 ms 7768 KB answer = NO
76 Correct 11 ms 1628 KB answer = YES
77 Correct 32 ms 3156 KB answer = YES
78 Correct 42 ms 5076 KB answer = YES
79 Correct 86 ms 9680 KB answer = YES
80 Correct 71 ms 10448 KB answer = YES
81 Correct 25 ms 12752 KB answer = NO
82 Correct 67 ms 16584 KB answer = YES
83 Correct 75 ms 17172 KB answer = YES
84 Correct 115 ms 17120 KB answer = YES
85 Correct 101 ms 17072 KB answer = YES
86 Correct 62 ms 17092 KB answer = YES
87 Correct 28 ms 11124 KB answer = NO
88 Correct 94 ms 13212 KB answer = YES
89 Correct 76 ms 10320 KB answer = YES
90 Correct 58 ms 10324 KB answer = YES
91 Correct 59 ms 10148 KB answer = YES
92 Correct 40 ms 5840 KB answer = YES
93 Correct 30 ms 5852 KB answer = YES
94 Correct 31 ms 15816 KB answer = NO
95 Correct 23 ms 9048 KB answer = NO
96 Correct 106 ms 17696 KB answer = YES
97 Correct 24 ms 15816 KB answer = NO