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Submission #1110460

# Submission time Handle Problem Language Result Execution time Memory
1110460 2024-11-09T13:52:15 Z LucasLe Graph (BOI20_graph) C++17
100 / 100
 132 ms 27584 KB 
#include<bits/stdc++.h>
using namespace std;
 
typedef long long ll;
typedef long double db;
typedef pair<int,int> edge;
typedef pair<ll,ll> node;
const int maxn = 200001;
bool vis[maxn];
node val[maxn];
db ans[maxn];
vector<edge>G[maxn];
 
bool flag, found;
node x;
const db eps = 1e-8;
vector<int> cur;
 
void dfs(int u, int p){
    vis[u] = 1;
    cur.push_back(u);
    for(auto v:G[u]){
        if(v.first == p) continue;
        node t = {val[u].first * -1ll, v.second - val[u].second};
        if(!vis[v.first]){
            val[v.first] = t;
            dfs(v.first, u);
        } else{
            if(t.first == val[v.first].first){
                if(t.second != val[v.first].second){
                    flag = false;
                    return;
                }
            } else{
                node tx = {t.first - val[v.first].first, val[v.first].second - t.second};
                if(!found) x = tx, found = 1;
                else if(x.first * tx.second != x.second * tx.first){
                        flag = false;
                        return;
                    }
            }
        }
    }
}
 
db f(db xx){
    db res = 0;
    for(int u:cur)
        res += fabs(xx * (db)val[u].first + (db)val[u].second);
    return res;
}
 
int main() {
    ios_base::sync_with_stdio(0); cin.tie(0);
    cout.setf(ios::fixed); cout.precision(7);
 
    int n, m;
    cin >> n >> m;
    while(m--){
        int u, v, c;
        cin >> u >> v >> c;
        G[u].push_back({v,c});
        G[v].push_back({u,c});
    }
 
    flag = true;
    for(int i = 1; i <= n && flag; i++)
    if(!vis[i]){
        val[i] = {1,0};
        found = false;
        cur.clear();
        dfs(i,-1);
        db xx = 0;
        if(found)
            xx = (db)x.second/(db)x.first;
        else{
            db l = -20000000000, r = 20000000000;
            while(fabs(r - l) > eps){
                db m1 = l + (r-l)/(db)3;
                db m2 = r - (r-l)/(db)3;
                if(f(m1) > f(m2))
                    l = m1;
                else
                    r = m2;
            }
            xx = l;
        }
        for(int u:cur)
            ans[u] = xx * (db)val[u].first + (db)val[u].second;
        
    }
 
    if(!flag){
        cout << "NO";
        return 0;
    }
 
    cout << "YES\n";
    for(int i = 1; i <= n; i++)
        cout << ans[i] << ' ';
    
    return 0;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8784 KB answer = YES
2 Correct 2 ms 8784 KB answer = YES
3 Correct 2 ms 8784 KB answer = YES
4 Correct 2 ms 8784 KB answer = NO
5 Correct 2 ms 8784 KB answer = YES
6 Correct 2 ms 8784 KB answer = YES
7 Correct 3 ms 8784 KB answer = YES
8 Correct 2 ms 8784 KB answer = YES
9 Correct 2 ms 8784 KB answer = NO
10 Correct 2 ms 8952 KB answer = YES
11 Correct 2 ms 8784 KB answer = YES
12 Correct 2 ms 8784 KB answer = NO
13 Correct 2 ms 8784 KB answer = YES
14 Correct 2 ms 8784 KB answer = YES
15 Correct 2 ms 8784 KB answer = YES
16 Correct 2 ms 8784 KB answer = YES
17 Correct 2 ms 8848 KB answer = YES
18 Correct 2 ms 8952 KB answer = YES
19 Correct 2 ms 8784 KB answer = YES
20 Correct 2 ms 8784 KB answer = YES
21 Correct 2 ms 8784 KB answer = YES
22 Correct 2 ms 8784 KB answer = NO
23 Correct 2 ms 8784 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8784 KB answer = YES
2 Correct 2 ms 8784 KB answer = YES
3 Correct 2 ms 8784 KB answer = YES
4 Correct 2 ms 8784 KB answer = NO
5 Correct 2 ms 8784 KB answer = YES
6 Correct 2 ms 8784 KB answer = YES
7 Correct 3 ms 8784 KB answer = YES
8 Correct 2 ms 8784 KB answer = YES
9 Correct 2 ms 8784 KB answer = NO
10 Correct 2 ms 8952 KB answer = YES
11 Correct 2 ms 8784 KB answer = YES
12 Correct 2 ms 8784 KB answer = NO
13 Correct 2 ms 8784 KB answer = YES
14 Correct 2 ms 8784 KB answer = YES
15 Correct 2 ms 8784 KB answer = YES
16 Correct 2 ms 8784 KB answer = YES
17 Correct 2 ms 8848 KB answer = YES
18 Correct 2 ms 8952 KB answer = YES
19 Correct 2 ms 8784 KB answer = YES
20 Correct 2 ms 8784 KB answer = YES
21 Correct 2 ms 8784 KB answer = YES
22 Correct 2 ms 8784 KB answer = NO
23 Correct 2 ms 8784 KB answer = NO
24 Correct 2 ms 8784 KB answer = YES
25 Correct 2 ms 8784 KB answer = YES
26 Correct 2 ms 8784 KB answer = YES
27 Correct 2 ms 8784 KB answer = YES
28 Correct 2 ms 8784 KB answer = YES
29 Correct 2 ms 8952 KB answer = YES
30 Correct 2 ms 8784 KB answer = NO
31 Correct 2 ms 8784 KB answer = YES
32 Correct 2 ms 8784 KB answer = YES
33 Correct 2 ms 8784 KB answer = YES
34 Correct 2 ms 8784 KB answer = YES
35 Correct 2 ms 8784 KB answer = YES
36 Correct 2 ms 8784 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8784 KB answer = YES
2 Correct 2 ms 8784 KB answer = YES
3 Correct 2 ms 8784 KB answer = YES
4 Correct 2 ms 8784 KB answer = NO
5 Correct 2 ms 8784 KB answer = YES
6 Correct 2 ms 8784 KB answer = YES
7 Correct 3 ms 8784 KB answer = YES
8 Correct 2 ms 8784 KB answer = YES
9 Correct 2 ms 8784 KB answer = NO
10 Correct 2 ms 8952 KB answer = YES
11 Correct 2 ms 8784 KB answer = YES
12 Correct 2 ms 8784 KB answer = NO
13 Correct 2 ms 8784 KB answer = YES
14 Correct 2 ms 8784 KB answer = YES
15 Correct 2 ms 8784 KB answer = YES
16 Correct 2 ms 8784 KB answer = YES
17 Correct 2 ms 8848 KB answer = YES
18 Correct 2 ms 8952 KB answer = YES
19 Correct 2 ms 8784 KB answer = YES
20 Correct 2 ms 8784 KB answer = YES
21 Correct 2 ms 8784 KB answer = YES
22 Correct 2 ms 8784 KB answer = NO
23 Correct 2 ms 8784 KB answer = NO
24 Correct 2 ms 8784 KB answer = YES
25 Correct 2 ms 8784 KB answer = YES
26 Correct 2 ms 8784 KB answer = YES
27 Correct 2 ms 8784 KB answer = YES
28 Correct 2 ms 8784 KB answer = YES
29 Correct 2 ms 8952 KB answer = YES
30 Correct 2 ms 8784 KB answer = NO
31 Correct 2 ms 8784 KB answer = YES
32 Correct 2 ms 8784 KB answer = YES
33 Correct 2 ms 8784 KB answer = YES
34 Correct 2 ms 8784 KB answer = YES
35 Correct 2 ms 8784 KB answer = YES
36 Correct 2 ms 8784 KB answer = YES
37 Correct 2 ms 8784 KB answer = YES
38 Correct 2 ms 8784 KB answer = YES
39 Correct 2 ms 8796 KB answer = YES
40 Correct 2 ms 8784 KB answer = YES
41 Correct 2 ms 8808 KB answer = NO
42 Correct 3 ms 8784 KB answer = YES
43 Correct 3 ms 8784 KB answer = YES
44 Correct 3 ms 8784 KB answer = YES
45 Correct 2 ms 8784 KB answer = YES
46 Correct 2 ms 8784 KB answer = YES
47 Correct 3 ms 8784 KB answer = YES
48 Correct 2 ms 8784 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8784 KB answer = YES
2 Correct 2 ms 8784 KB answer = YES
3 Correct 2 ms 8784 KB answer = YES
4 Correct 2 ms 8784 KB answer = NO
5 Correct 2 ms 8784 KB answer = YES
6 Correct 2 ms 8784 KB answer = YES
7 Correct 3 ms 8784 KB answer = YES
8 Correct 2 ms 8784 KB answer = YES
9 Correct 2 ms 8784 KB answer = NO
10 Correct 2 ms 8952 KB answer = YES
11 Correct 2 ms 8784 KB answer = YES
12 Correct 2 ms 8784 KB answer = NO
13 Correct 2 ms 8784 KB answer = YES
14 Correct 2 ms 8784 KB answer = YES
15 Correct 2 ms 8784 KB answer = YES
16 Correct 2 ms 8784 KB answer = YES
17 Correct 2 ms 8848 KB answer = YES
18 Correct 2 ms 8952 KB answer = YES
19 Correct 2 ms 8784 KB answer = YES
20 Correct 2 ms 8784 KB answer = YES
21 Correct 2 ms 8784 KB answer = YES
22 Correct 2 ms 8784 KB answer = NO
23 Correct 2 ms 8784 KB answer = NO
24 Correct 2 ms 8784 KB answer = YES
25 Correct 2 ms 8784 KB answer = YES
26 Correct 2 ms 8784 KB answer = YES
27 Correct 2 ms 8784 KB answer = YES
28 Correct 2 ms 8784 KB answer = YES
29 Correct 2 ms 8952 KB answer = YES
30 Correct 2 ms 8784 KB answer = NO
31 Correct 2 ms 8784 KB answer = YES
32 Correct 2 ms 8784 KB answer = YES
33 Correct 2 ms 8784 KB answer = YES
34 Correct 2 ms 8784 KB answer = YES
35 Correct 2 ms 8784 KB answer = YES
36 Correct 2 ms 8784 KB answer = YES
37 Correct 2 ms 8784 KB answer = YES
38 Correct 2 ms 8784 KB answer = YES
39 Correct 2 ms 8796 KB answer = YES
40 Correct 2 ms 8784 KB answer = YES
41 Correct 2 ms 8808 KB answer = NO
42 Correct 3 ms 8784 KB answer = YES
43 Correct 3 ms 8784 KB answer = YES
44 Correct 3 ms 8784 KB answer = YES
45 Correct 2 ms 8784 KB answer = YES
46 Correct 2 ms 8784 KB answer = YES
47 Correct 3 ms 8784 KB answer = YES
48 Correct 2 ms 8784 KB answer = YES
49 Correct 12 ms 9564 KB answer = YES
50 Correct 8 ms 9808 KB answer = YES
51 Correct 15 ms 9628 KB answer = YES
52 Correct 10 ms 9552 KB answer = NO
53 Correct 3 ms 8784 KB answer = YES
54 Correct 5 ms 8952 KB answer = YES
55 Correct 8 ms 9040 KB answer = YES
56 Correct 12 ms 9552 KB answer = YES
57 Correct 13 ms 9296 KB answer = YES
58 Correct 11 ms 9296 KB answer = YES
59 Correct 6 ms 9296 KB answer = YES
60 Correct 12 ms 9296 KB answer = YES
61 Correct 4 ms 9208 KB answer = YES
62 Correct 37 ms 15952 KB answer = NO
63 Correct 43 ms 16376 KB answer = YES
64 Correct 40 ms 16208 KB answer = NO
65 Correct 57 ms 16296 KB answer = YES
66 Correct 5 ms 8784 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 8784 KB answer = YES
2 Correct 2 ms 8784 KB answer = YES
3 Correct 2 ms 8784 KB answer = YES
4 Correct 2 ms 8784 KB answer = NO
5 Correct 2 ms 8784 KB answer = YES
6 Correct 2 ms 8784 KB answer = YES
7 Correct 3 ms 8784 KB answer = YES
8 Correct 2 ms 8784 KB answer = YES
9 Correct 2 ms 8784 KB answer = NO
10 Correct 2 ms 8952 KB answer = YES
11 Correct 2 ms 8784 KB answer = YES
12 Correct 2 ms 8784 KB answer = NO
13 Correct 2 ms 8784 KB answer = YES
14 Correct 2 ms 8784 KB answer = YES
15 Correct 2 ms 8784 KB answer = YES
16 Correct 2 ms 8784 KB answer = YES
17 Correct 2 ms 8848 KB answer = YES
18 Correct 2 ms 8952 KB answer = YES
19 Correct 2 ms 8784 KB answer = YES
20 Correct 2 ms 8784 KB answer = YES
21 Correct 2 ms 8784 KB answer = YES
22 Correct 2 ms 8784 KB answer = NO
23 Correct 2 ms 8784 KB answer = NO
24 Correct 2 ms 8784 KB answer = YES
25 Correct 2 ms 8784 KB answer = YES
26 Correct 2 ms 8784 KB answer = YES
27 Correct 2 ms 8784 KB answer = YES
28 Correct 2 ms 8784 KB answer = YES
29 Correct 2 ms 8952 KB answer = YES
30 Correct 2 ms 8784 KB answer = NO
31 Correct 2 ms 8784 KB answer = YES
32 Correct 2 ms 8784 KB answer = YES
33 Correct 2 ms 8784 KB answer = YES
34 Correct 2 ms 8784 KB answer = YES
35 Correct 2 ms 8784 KB answer = YES
36 Correct 2 ms 8784 KB answer = YES
37 Correct 2 ms 8784 KB answer = YES
38 Correct 2 ms 8784 KB answer = YES
39 Correct 2 ms 8796 KB answer = YES
40 Correct 2 ms 8784 KB answer = YES
41 Correct 2 ms 8808 KB answer = NO
42 Correct 3 ms 8784 KB answer = YES
43 Correct 3 ms 8784 KB answer = YES
44 Correct 3 ms 8784 KB answer = YES
45 Correct 2 ms 8784 KB answer = YES
46 Correct 2 ms 8784 KB answer = YES
47 Correct 3 ms 8784 KB answer = YES
48 Correct 2 ms 8784 KB answer = YES
49 Correct 12 ms 9564 KB answer = YES
50 Correct 8 ms 9808 KB answer = YES
51 Correct 15 ms 9628 KB answer = YES
52 Correct 10 ms 9552 KB answer = NO
53 Correct 3 ms 8784 KB answer = YES
54 Correct 5 ms 8952 KB answer = YES
55 Correct 8 ms 9040 KB answer = YES
56 Correct 12 ms 9552 KB answer = YES
57 Correct 13 ms 9296 KB answer = YES
58 Correct 11 ms 9296 KB answer = YES
59 Correct 6 ms 9296 KB answer = YES
60 Correct 12 ms 9296 KB answer = YES
61 Correct 4 ms 9208 KB answer = YES
62 Correct 37 ms 15952 KB answer = NO
63 Correct 43 ms 16376 KB answer = YES
64 Correct 40 ms 16208 KB answer = NO
65 Correct 57 ms 16296 KB answer = YES
66 Correct 5 ms 8784 KB answer = YES
67 Correct 113 ms 23284 KB answer = YES
68 Correct 110 ms 23288 KB answer = YES
69 Correct 56 ms 23236 KB answer = YES
70 Correct 84 ms 27584 KB answer = YES
71 Correct 60 ms 23232 KB answer = YES
72 Correct 132 ms 17524 KB answer = YES
73 Correct 59 ms 17600 KB answer = YES
74 Correct 46 ms 18116 KB answer = YES
75 Correct 54 ms 17356 KB answer = NO
76 Correct 15 ms 9552 KB answer = YES
77 Correct 38 ms 10732 KB answer = YES
78 Correct 51 ms 13772 KB answer = YES
79 Correct 114 ms 16584 KB answer = YES
80 Correct 83 ms 18116 KB answer = YES
81 Correct 31 ms 19144 KB answer = NO
82 Correct 82 ms 22984 KB answer = YES
83 Correct 91 ms 23232 KB answer = YES
84 Correct 125 ms 23232 KB answer = YES
85 Correct 117 ms 23232 KB answer = YES
86 Correct 69 ms 23232 KB answer = YES
87 Correct 44 ms 17744 KB answer = NO
88 Correct 75 ms 19496 KB answer = YES
89 Correct 59 ms 16456 KB answer = YES
90 Correct 59 ms 16468 KB answer = YES
91 Correct 60 ms 16340 KB answer = YES
92 Correct 30 ms 14284 KB answer = YES
93 Correct 29 ms 14292 KB answer = YES
94 Correct 89 ms 22208 KB answer = NO
95 Correct 26 ms 15440 KB answer = NO
96 Correct 112 ms 25028 KB answer = YES
97 Correct 78 ms 22216 KB answer = NO