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Submission #1030651

# Submission time Handle Problem Language Result Execution time Memory
1030651 2024-07-22T08:08:38 Z ttamx Graph (BOI20_graph) C++17
100 / 100
 89 ms 22732 KB 
#include<bits/stdc++.h>

using namespace std;

using db = double;

const int N=1e5+5;

int n,m;
vector<pair<int,int>> adj[N];
bool vis[N];
int a[N],b[N],ans[N];

int main(){
    cin.tie(nullptr)->sync_with_stdio(false);
    cin >> n >> m;
    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<int> comp;
    pair<int,int> 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{
                    int num=w-b[u]-b[v];
                    int den=a[u]+a[v];
                    if(!found){
                        found=true;
                        val={num,den};
                    }else if(num*val.second!=val.first*den){
                        cout << "NO",exit(0);
                    }
                }
            }
        }
    };
    for(int i=0;i<n;i++)if(!vis[i]){
        comp.clear();
        found=false;
        a[i]=1,b[i]=0;
        dfs(i);
        auto calc=[&](int x){
            int res=0;
            for(auto u:comp){
                res+=abs(a[u]*x+b[u]*2);
            }
            return res;
        };
        auto answer=[&](int x){
            for(auto u:comp){
                ans[u]=a[u]*x+b[u]*2;
            }
        };
        if(found){
            answer(val.first*2/val.second);
        }else{
            int c=comp.size();
            int l=-c*2-1,r=c*2+1;
            while(l<r){
                int m=l+(r-l)/2;
                if(calc(m)<calc(m+1))r=m;
                else l=m+1;
            }
            answer(l);
        }
    }
    cout << "YES\n";
    for(int i=0;i<n;i++)cout << db(ans[i])/2.0 << " ";
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB answer = YES
2 Correct 1 ms 2652 KB answer = YES
3 Correct 1 ms 2652 KB answer = YES
4 Correct 2 ms 2648 KB answer = NO
5 Correct 1 ms 2652 KB answer = YES
6 Correct 1 ms 2652 KB answer = YES
7 Correct 1 ms 2648 KB answer = YES
8 Correct 1 ms 2652 KB answer = YES
9 Correct 1 ms 2652 KB answer = NO
10 Correct 2 ms 2820 KB answer = YES
11 Correct 1 ms 2656 KB answer = YES
12 Correct 1 ms 2652 KB answer = NO
13 Correct 1 ms 2648 KB answer = YES
14 Correct 1 ms 2652 KB answer = YES
15 Correct 1 ms 2652 KB answer = YES
16 Correct 1 ms 2652 KB answer = YES
17 Correct 1 ms 2656 KB answer = YES
18 Correct 1 ms 2652 KB answer = YES
19 Correct 1 ms 2652 KB answer = YES
20 Correct 1 ms 2652 KB answer = YES
21 Correct 1 ms 2648 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 2648 KB answer = YES
2 Correct 1 ms 2652 KB answer = YES
3 Correct 1 ms 2652 KB answer = YES
4 Correct 2 ms 2648 KB answer = NO
5 Correct 1 ms 2652 KB answer = YES
6 Correct 1 ms 2652 KB answer = YES
7 Correct 1 ms 2648 KB answer = YES
8 Correct 1 ms 2652 KB answer = YES
9 Correct 1 ms 2652 KB answer = NO
10 Correct 2 ms 2820 KB answer = YES
11 Correct 1 ms 2656 KB answer = YES
12 Correct 1 ms 2652 KB answer = NO
13 Correct 1 ms 2648 KB answer = YES
14 Correct 1 ms 2652 KB answer = YES
15 Correct 1 ms 2652 KB answer = YES
16 Correct 1 ms 2652 KB answer = YES
17 Correct 1 ms 2656 KB answer = YES
18 Correct 1 ms 2652 KB answer = YES
19 Correct 1 ms 2652 KB answer = YES
20 Correct 1 ms 2652 KB answer = YES
21 Correct 1 ms 2648 KB answer = YES
22 Correct 1 ms 2652 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO
24 Correct 2 ms 2648 KB answer = YES
25 Correct 2 ms 2652 KB answer = YES
26 Correct 1 ms 2652 KB answer = YES
27 Correct 1 ms 2816 KB answer = YES
28 Correct 1 ms 2700 KB answer = YES
29 Correct 2 ms 2652 KB answer = YES
30 Correct 2 ms 2816 KB answer = NO
31 Correct 1 ms 2652 KB answer = YES
32 Correct 1 ms 2652 KB answer = YES
33 Correct 1 ms 2652 KB answer = YES
34 Correct 1 ms 2652 KB answer = YES
35 Correct 1 ms 2648 KB answer = YES
36 Correct 2 ms 2820 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB answer = YES
2 Correct 1 ms 2652 KB answer = YES
3 Correct 1 ms 2652 KB answer = YES
4 Correct 2 ms 2648 KB answer = NO
5 Correct 1 ms 2652 KB answer = YES
6 Correct 1 ms 2652 KB answer = YES
7 Correct 1 ms 2648 KB answer = YES
8 Correct 1 ms 2652 KB answer = YES
9 Correct 1 ms 2652 KB answer = NO
10 Correct 2 ms 2820 KB answer = YES
11 Correct 1 ms 2656 KB answer = YES
12 Correct 1 ms 2652 KB answer = NO
13 Correct 1 ms 2648 KB answer = YES
14 Correct 1 ms 2652 KB answer = YES
15 Correct 1 ms 2652 KB answer = YES
16 Correct 1 ms 2652 KB answer = YES
17 Correct 1 ms 2656 KB answer = YES
18 Correct 1 ms 2652 KB answer = YES
19 Correct 1 ms 2652 KB answer = YES
20 Correct 1 ms 2652 KB answer = YES
21 Correct 1 ms 2648 KB answer = YES
22 Correct 1 ms 2652 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO
24 Correct 2 ms 2648 KB answer = YES
25 Correct 2 ms 2652 KB answer = YES
26 Correct 1 ms 2652 KB answer = YES
27 Correct 1 ms 2816 KB answer = YES
28 Correct 1 ms 2700 KB answer = YES
29 Correct 2 ms 2652 KB answer = YES
30 Correct 2 ms 2816 KB answer = NO
31 Correct 1 ms 2652 KB answer = YES
32 Correct 1 ms 2652 KB answer = YES
33 Correct 1 ms 2652 KB answer = YES
34 Correct 1 ms 2652 KB answer = YES
35 Correct 1 ms 2648 KB answer = YES
36 Correct 2 ms 2820 KB answer = YES
37 Correct 1 ms 2648 KB answer = YES
38 Correct 1 ms 2652 KB answer = YES
39 Correct 1 ms 2812 KB answer = YES
40 Correct 1 ms 2652 KB answer = YES
41 Correct 1 ms 2652 KB answer = NO
42 Correct 2 ms 2908 KB answer = YES
43 Correct 2 ms 2652 KB answer = YES
44 Correct 2 ms 2900 KB answer = YES
45 Correct 2 ms 2652 KB answer = YES
46 Correct 2 ms 2652 KB answer = YES
47 Correct 2 ms 2908 KB answer = YES
48 Correct 3 ms 2904 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB answer = YES
2 Correct 1 ms 2652 KB answer = YES
3 Correct 1 ms 2652 KB answer = YES
4 Correct 2 ms 2648 KB answer = NO
5 Correct 1 ms 2652 KB answer = YES
6 Correct 1 ms 2652 KB answer = YES
7 Correct 1 ms 2648 KB answer = YES
8 Correct 1 ms 2652 KB answer = YES
9 Correct 1 ms 2652 KB answer = NO
10 Correct 2 ms 2820 KB answer = YES
11 Correct 1 ms 2656 KB answer = YES
12 Correct 1 ms 2652 KB answer = NO
13 Correct 1 ms 2648 KB answer = YES
14 Correct 1 ms 2652 KB answer = YES
15 Correct 1 ms 2652 KB answer = YES
16 Correct 1 ms 2652 KB answer = YES
17 Correct 1 ms 2656 KB answer = YES
18 Correct 1 ms 2652 KB answer = YES
19 Correct 1 ms 2652 KB answer = YES
20 Correct 1 ms 2652 KB answer = YES
21 Correct 1 ms 2648 KB answer = YES
22 Correct 1 ms 2652 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO
24 Correct 2 ms 2648 KB answer = YES
25 Correct 2 ms 2652 KB answer = YES
26 Correct 1 ms 2652 KB answer = YES
27 Correct 1 ms 2816 KB answer = YES
28 Correct 1 ms 2700 KB answer = YES
29 Correct 2 ms 2652 KB answer = YES
30 Correct 2 ms 2816 KB answer = NO
31 Correct 1 ms 2652 KB answer = YES
32 Correct 1 ms 2652 KB answer = YES
33 Correct 1 ms 2652 KB answer = YES
34 Correct 1 ms 2652 KB answer = YES
35 Correct 1 ms 2648 KB answer = YES
36 Correct 2 ms 2820 KB answer = YES
37 Correct 1 ms 2648 KB answer = YES
38 Correct 1 ms 2652 KB answer = YES
39 Correct 1 ms 2812 KB answer = YES
40 Correct 1 ms 2652 KB answer = YES
41 Correct 1 ms 2652 KB answer = NO
42 Correct 2 ms 2908 KB answer = YES
43 Correct 2 ms 2652 KB answer = YES
44 Correct 2 ms 2900 KB answer = YES
45 Correct 2 ms 2652 KB answer = YES
46 Correct 2 ms 2652 KB answer = YES
47 Correct 2 ms 2908 KB answer = YES
48 Correct 3 ms 2904 KB answer = YES
49 Correct 6 ms 3416 KB answer = YES
50 Correct 7 ms 3932 KB answer = YES
51 Correct 7 ms 3932 KB answer = YES
52 Correct 4 ms 3336 KB answer = NO
53 Correct 2 ms 2908 KB answer = YES
54 Correct 2 ms 2908 KB answer = YES
55 Correct 4 ms 3084 KB answer = YES
56 Correct 6 ms 3444 KB answer = YES
57 Correct 7 ms 3340 KB answer = YES
58 Correct 5 ms 3420 KB answer = YES
59 Correct 5 ms 3436 KB answer = YES
60 Correct 6 ms 3496 KB answer = YES
61 Correct 4 ms 3164 KB answer = YES
62 Correct 35 ms 9540 KB answer = NO
63 Correct 39 ms 10320 KB answer = YES
64 Correct 35 ms 10332 KB answer = NO
65 Correct 40 ms 10404 KB answer = YES
66 Correct 2 ms 2908 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB answer = YES
2 Correct 1 ms 2652 KB answer = YES
3 Correct 1 ms 2652 KB answer = YES
4 Correct 2 ms 2648 KB answer = NO
5 Correct 1 ms 2652 KB answer = YES
6 Correct 1 ms 2652 KB answer = YES
7 Correct 1 ms 2648 KB answer = YES
8 Correct 1 ms 2652 KB answer = YES
9 Correct 1 ms 2652 KB answer = NO
10 Correct 2 ms 2820 KB answer = YES
11 Correct 1 ms 2656 KB answer = YES
12 Correct 1 ms 2652 KB answer = NO
13 Correct 1 ms 2648 KB answer = YES
14 Correct 1 ms 2652 KB answer = YES
15 Correct 1 ms 2652 KB answer = YES
16 Correct 1 ms 2652 KB answer = YES
17 Correct 1 ms 2656 KB answer = YES
18 Correct 1 ms 2652 KB answer = YES
19 Correct 1 ms 2652 KB answer = YES
20 Correct 1 ms 2652 KB answer = YES
21 Correct 1 ms 2648 KB answer = YES
22 Correct 1 ms 2652 KB answer = NO
23 Correct 1 ms 2652 KB answer = NO
24 Correct 2 ms 2648 KB answer = YES
25 Correct 2 ms 2652 KB answer = YES
26 Correct 1 ms 2652 KB answer = YES
27 Correct 1 ms 2816 KB answer = YES
28 Correct 1 ms 2700 KB answer = YES
29 Correct 2 ms 2652 KB answer = YES
30 Correct 2 ms 2816 KB answer = NO
31 Correct 1 ms 2652 KB answer = YES
32 Correct 1 ms 2652 KB answer = YES
33 Correct 1 ms 2652 KB answer = YES
34 Correct 1 ms 2652 KB answer = YES
35 Correct 1 ms 2648 KB answer = YES
36 Correct 2 ms 2820 KB answer = YES
37 Correct 1 ms 2648 KB answer = YES
38 Correct 1 ms 2652 KB answer = YES
39 Correct 1 ms 2812 KB answer = YES
40 Correct 1 ms 2652 KB answer = YES
41 Correct 1 ms 2652 KB answer = NO
42 Correct 2 ms 2908 KB answer = YES
43 Correct 2 ms 2652 KB answer = YES
44 Correct 2 ms 2900 KB answer = YES
45 Correct 2 ms 2652 KB answer = YES
46 Correct 2 ms 2652 KB answer = YES
47 Correct 2 ms 2908 KB answer = YES
48 Correct 3 ms 2904 KB answer = YES
49 Correct 6 ms 3416 KB answer = YES
50 Correct 7 ms 3932 KB answer = YES
51 Correct 7 ms 3932 KB answer = YES
52 Correct 4 ms 3336 KB answer = NO
53 Correct 2 ms 2908 KB answer = YES
54 Correct 2 ms 2908 KB answer = YES
55 Correct 4 ms 3084 KB answer = YES
56 Correct 6 ms 3444 KB answer = YES
57 Correct 7 ms 3340 KB answer = YES
58 Correct 5 ms 3420 KB answer = YES
59 Correct 5 ms 3436 KB answer = YES
60 Correct 6 ms 3496 KB answer = YES
61 Correct 4 ms 3164 KB answer = YES
62 Correct 35 ms 9540 KB answer = NO
63 Correct 39 ms 10320 KB answer = YES
64 Correct 35 ms 10332 KB answer = NO
65 Correct 40 ms 10404 KB answer = YES
66 Correct 2 ms 2908 KB answer = YES
67 Correct 55 ms 18556 KB answer = YES
68 Correct 54 ms 18628 KB answer = YES
69 Correct 48 ms 18632 KB answer = YES
70 Correct 74 ms 22732 KB answer = YES
71 Correct 52 ms 18852 KB answer = YES
72 Correct 59 ms 9676 KB answer = YES
73 Correct 51 ms 9700 KB answer = YES
74 Correct 39 ms 11736 KB answer = YES
75 Correct 17 ms 8792 KB answer = NO
76 Correct 7 ms 3676 KB answer = YES
77 Correct 14 ms 4444 KB answer = YES
78 Correct 25 ms 5856 KB answer = YES
79 Correct 51 ms 8840 KB answer = YES
80 Correct 47 ms 11896 KB answer = YES
81 Correct 26 ms 13512 KB answer = NO
82 Correct 57 ms 18084 KB answer = YES
83 Correct 67 ms 18760 KB answer = YES
84 Correct 77 ms 18596 KB answer = YES
85 Correct 55 ms 18772 KB answer = YES
86 Correct 53 ms 18632 KB answer = YES
87 Correct 28 ms 11348 KB answer = NO
88 Correct 61 ms 13008 KB answer = YES
89 Correct 50 ms 8784 KB answer = YES
90 Correct 49 ms 8784 KB answer = YES
91 Correct 54 ms 8628 KB answer = YES
92 Correct 27 ms 6364 KB answer = YES
93 Correct 25 ms 6356 KB answer = YES
94 Correct 33 ms 17872 KB answer = NO
95 Correct 26 ms 8528 KB answer = NO
96 Correct 89 ms 18896 KB answer = YES
97 Correct 27 ms 18000 KB answer = NO