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Submission #642770

# Submission time Handle Problem Language Result Execution time Memory
642770 2022-09-20T13:18:33 Z berr Graph (BOI20_graph) C++17
100 / 100
 165 ms 28980 KB 
#include <bits/stdc++.h>
using namespace std;
#define int long long
int c[(int)1e5+5], val[(int)1e5+5], vis[(int)(1e5+5)], val2[(int)(1e5)+5];
vector<array<int, 2>> adj[(int)(1e5+5)];
vector<int> pos[(int)(1e5+5)], aaa;
int flag=1;

void dfs(int x, int y, int z)
{

    vis[x]=z;
    pos[z].push_back(x);
    for(auto i: adj[x])
    {
        if(i[0]==y) continue;
        if(vis[i[0]]!=0)
        {
            if(c[x]+c[i[0]]==0&&val[i[0]]+val[x]!=i[1])
            {
                flag=0;
            }
            else if(c[x]+c[i[0]]!=0)
            {
                if(val2[z]==-1)
                {
                    val2[z]=(i[1]-val[i[0]]-val[x])/(c[x]+c[i[0]]);
                }
                else
                {
                    if(val2[z]!=(i[1]-val[i[0]]-val[x])/(c[x]+c[i[0]])) flag=0;
                }
            }
        }
        else
        {
            val[i[0]]=i[1]-val[x];
            c[i[0]]=-1*c[x];

            dfs(i[0], x, z);
        }
    }
}


void dfs2(int z, int p)
{
    vis[z]=1;
    for(auto i: adj[z])
    {
        if(val[i[0]]+val[z]!=i[1]) flag=0;
        else if(!vis[i[0]]) dfs2(i[0], z);
    }
}

int32_t main()
{
    ios_base::sync_with_stdio(false); cin.tie(0);
    
    int n, m; cin>>n>>m;


    for(int i=0; i<m; i++)
    {
        int x, y, z; cin>>x>>y>>z;

        z*=1e7;
        adj[x].push_back({y, z});
        adj[y].push_back({x, z});
    }

    for(int i=1; i<=n; i++)
    {
        val2[i]=-1;
    }

    for(int i=1; i<=n; i++)
    {
        if(!vis[i])  c[i]=1,dfs(i, 0, i), aaa.push_back(i);
    }


    for(auto z: aaa)
    {
        if(val2[z]!=-1)
        {
            for(auto i: pos[z])
            {
                val[i]+=c[i]*val2[z];
            }
        }
       else
        {
            int s=-1e10;
            for(int i=40; i>=0; i--)
            {
                int tmp=s+(1LL<<i);
         
                int ans1=0,  ans2=0;
 
                int tmp2=tmp-1;
 
                for(auto j: pos[z])
                {
                    ans1+=abs(val[j]+(c[j]*tmp));
                    ans2+=abs(val[j]+(c[j]*tmp2));
                }
 
                if(ans1<ans2) s=tmp; 
            }
 
 
            val2[z]=s;
            for(auto i: pos[z])
            {
                val[i]+=c[i]*val2[z];
            }
        }
    
    }

    if(flag)
    {

        cout<<"YES\n";
        for(int i=1; i<=n; i++)
        {
            float x=(float)val[i]/(float)10000000;
            cout<<fixed<<x<<" ";
        }
    }
    else
    {
        cout<<"NO\n";
    }
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB answer = YES
2 Correct 2 ms 4948 KB answer = YES
3 Correct 3 ms 4948 KB answer = YES
4 Correct 3 ms 4948 KB answer = NO
5 Correct 3 ms 4948 KB answer = YES
6 Correct 3 ms 4948 KB answer = YES
7 Correct 3 ms 5028 KB answer = YES
8 Correct 3 ms 4948 KB answer = YES
9 Correct 2 ms 4948 KB answer = NO
10 Correct 3 ms 5024 KB answer = YES
11 Correct 3 ms 4948 KB answer = YES
12 Correct 3 ms 5076 KB answer = NO
13 Correct 4 ms 4948 KB answer = YES
14 Correct 2 ms 4948 KB answer = YES
15 Correct 2 ms 5024 KB answer = YES
16 Correct 3 ms 4948 KB answer = YES
17 Correct 3 ms 4948 KB answer = YES
18 Correct 3 ms 5024 KB answer = YES
19 Correct 3 ms 4948 KB answer = YES
20 Correct 3 ms 4948 KB answer = YES
21 Correct 2 ms 4948 KB answer = YES
22 Correct 3 ms 4948 KB answer = NO
23 Correct 3 ms 4948 KB answer = NO

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB answer = YES
2 Correct 2 ms 4948 KB answer = YES
3 Correct 3 ms 4948 KB answer = YES
4 Correct 3 ms 4948 KB answer = NO
5 Correct 3 ms 4948 KB answer = YES
6 Correct 3 ms 4948 KB answer = YES
7 Correct 3 ms 5028 KB answer = YES
8 Correct 3 ms 4948 KB answer = YES
9 Correct 2 ms 4948 KB answer = NO
10 Correct 3 ms 5024 KB answer = YES
11 Correct 3 ms 4948 KB answer = YES
12 Correct 3 ms 5076 KB answer = NO
13 Correct 4 ms 4948 KB answer = YES
14 Correct 2 ms 4948 KB answer = YES
15 Correct 2 ms 5024 KB answer = YES
16 Correct 3 ms 4948 KB answer = YES
17 Correct 3 ms 4948 KB answer = YES
18 Correct 3 ms 5024 KB answer = YES
19 Correct 3 ms 4948 KB answer = YES
20 Correct 3 ms 4948 KB answer = YES
21 Correct 2 ms 4948 KB answer = YES
22 Correct 3 ms 4948 KB answer = NO
23 Correct 3 ms 4948 KB answer = NO
24 Correct 3 ms 4948 KB answer = YES
25 Correct 3 ms 4948 KB answer = YES
26 Correct 4 ms 5028 KB answer = YES
27 Correct 3 ms 5028 KB answer = YES
28 Correct 3 ms 5028 KB answer = YES
29 Correct 3 ms 5024 KB answer = YES
30 Correct 3 ms 4948 KB answer = NO
31 Correct 3 ms 5032 KB answer = YES
32 Correct 3 ms 4948 KB answer = YES
33 Correct 3 ms 4996 KB answer = YES
34 Correct 3 ms 4948 KB answer = YES
35 Correct 3 ms 4948 KB answer = YES
36 Correct 3 ms 4948 KB answer = YES

Subtask #3
17.0 / 17.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB answer = YES
2 Correct 2 ms 4948 KB answer = YES
3 Correct 3 ms 4948 KB answer = YES
4 Correct 3 ms 4948 KB answer = NO
5 Correct 3 ms 4948 KB answer = YES
6 Correct 3 ms 4948 KB answer = YES
7 Correct 3 ms 5028 KB answer = YES
8 Correct 3 ms 4948 KB answer = YES
9 Correct 2 ms 4948 KB answer = NO
10 Correct 3 ms 5024 KB answer = YES
11 Correct 3 ms 4948 KB answer = YES
12 Correct 3 ms 5076 KB answer = NO
13 Correct 4 ms 4948 KB answer = YES
14 Correct 2 ms 4948 KB answer = YES
15 Correct 2 ms 5024 KB answer = YES
16 Correct 3 ms 4948 KB answer = YES
17 Correct 3 ms 4948 KB answer = YES
18 Correct 3 ms 5024 KB answer = YES
19 Correct 3 ms 4948 KB answer = YES
20 Correct 3 ms 4948 KB answer = YES
21 Correct 2 ms 4948 KB answer = YES
22 Correct 3 ms 4948 KB answer = NO
23 Correct 3 ms 4948 KB answer = NO
24 Correct 3 ms 4948 KB answer = YES
25 Correct 3 ms 4948 KB answer = YES
26 Correct 4 ms 5028 KB answer = YES
27 Correct 3 ms 5028 KB answer = YES
28 Correct 3 ms 5028 KB answer = YES
29 Correct 3 ms 5024 KB answer = YES
30 Correct 3 ms 4948 KB answer = NO
31 Correct 3 ms 5032 KB answer = YES
32 Correct 3 ms 4948 KB answer = YES
33 Correct 3 ms 4996 KB answer = YES
34 Correct 3 ms 4948 KB answer = YES
35 Correct 3 ms 4948 KB answer = YES
36 Correct 3 ms 4948 KB answer = YES
37 Correct 3 ms 5032 KB answer = YES
38 Correct 4 ms 4948 KB answer = YES
39 Correct 3 ms 5076 KB answer = YES
40 Correct 3 ms 5164 KB answer = YES
41 Correct 3 ms 5068 KB answer = NO
42 Correct 4 ms 5164 KB answer = YES
43 Correct 5 ms 5076 KB answer = YES
44 Correct 4 ms 5076 KB answer = YES
45 Correct 4 ms 5076 KB answer = YES
46 Correct 3 ms 5076 KB answer = YES
47 Correct 3 ms 5076 KB answer = YES
48 Correct 3 ms 5076 KB answer = YES

Subtask #4
24.0 / 24.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB answer = YES
2 Correct 2 ms 4948 KB answer = YES
3 Correct 3 ms 4948 KB answer = YES
4 Correct 3 ms 4948 KB answer = NO
5 Correct 3 ms 4948 KB answer = YES
6 Correct 3 ms 4948 KB answer = YES
7 Correct 3 ms 5028 KB answer = YES
8 Correct 3 ms 4948 KB answer = YES
9 Correct 2 ms 4948 KB answer = NO
10 Correct 3 ms 5024 KB answer = YES
11 Correct 3 ms 4948 KB answer = YES
12 Correct 3 ms 5076 KB answer = NO
13 Correct 4 ms 4948 KB answer = YES
14 Correct 2 ms 4948 KB answer = YES
15 Correct 2 ms 5024 KB answer = YES
16 Correct 3 ms 4948 KB answer = YES
17 Correct 3 ms 4948 KB answer = YES
18 Correct 3 ms 5024 KB answer = YES
19 Correct 3 ms 4948 KB answer = YES
20 Correct 3 ms 4948 KB answer = YES
21 Correct 2 ms 4948 KB answer = YES
22 Correct 3 ms 4948 KB answer = NO
23 Correct 3 ms 4948 KB answer = NO
24 Correct 3 ms 4948 KB answer = YES
25 Correct 3 ms 4948 KB answer = YES
26 Correct 4 ms 5028 KB answer = YES
27 Correct 3 ms 5028 KB answer = YES
28 Correct 3 ms 5028 KB answer = YES
29 Correct 3 ms 5024 KB answer = YES
30 Correct 3 ms 4948 KB answer = NO
31 Correct 3 ms 5032 KB answer = YES
32 Correct 3 ms 4948 KB answer = YES
33 Correct 3 ms 4996 KB answer = YES
34 Correct 3 ms 4948 KB answer = YES
35 Correct 3 ms 4948 KB answer = YES
36 Correct 3 ms 4948 KB answer = YES
37 Correct 3 ms 5032 KB answer = YES
38 Correct 4 ms 4948 KB answer = YES
39 Correct 3 ms 5076 KB answer = YES
40 Correct 3 ms 5164 KB answer = YES
41 Correct 3 ms 5068 KB answer = NO
42 Correct 4 ms 5164 KB answer = YES
43 Correct 5 ms 5076 KB answer = YES
44 Correct 4 ms 5076 KB answer = YES
45 Correct 4 ms 5076 KB answer = YES
46 Correct 3 ms 5076 KB answer = YES
47 Correct 3 ms 5076 KB answer = YES
48 Correct 3 ms 5076 KB answer = YES
49 Correct 12 ms 6228 KB answer = YES
50 Correct 12 ms 6700 KB answer = YES
51 Correct 14 ms 6636 KB answer = YES
52 Correct 8 ms 6484 KB answer = NO
53 Correct 5 ms 5076 KB answer = YES
54 Correct 6 ms 5220 KB answer = YES
55 Correct 7 ms 5676 KB answer = YES
56 Correct 11 ms 6228 KB answer = YES
57 Correct 11 ms 6132 KB answer = YES
58 Correct 10 ms 6100 KB answer = YES
59 Correct 9 ms 6100 KB answer = YES
60 Correct 11 ms 6192 KB answer = YES
61 Correct 8 ms 5588 KB answer = YES
62 Correct 61 ms 15384 KB answer = NO
63 Correct 69 ms 15444 KB answer = YES
64 Correct 58 ms 15368 KB answer = NO
65 Correct 67 ms 15564 KB answer = YES
66 Correct 5 ms 5204 KB answer = YES

Subtask #5
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 4948 KB answer = YES
2 Correct 2 ms 4948 KB answer = YES
3 Correct 3 ms 4948 KB answer = YES
4 Correct 3 ms 4948 KB answer = NO
5 Correct 3 ms 4948 KB answer = YES
6 Correct 3 ms 4948 KB answer = YES
7 Correct 3 ms 5028 KB answer = YES
8 Correct 3 ms 4948 KB answer = YES
9 Correct 2 ms 4948 KB answer = NO
10 Correct 3 ms 5024 KB answer = YES
11 Correct 3 ms 4948 KB answer = YES
12 Correct 3 ms 5076 KB answer = NO
13 Correct 4 ms 4948 KB answer = YES
14 Correct 2 ms 4948 KB answer = YES
15 Correct 2 ms 5024 KB answer = YES
16 Correct 3 ms 4948 KB answer = YES
17 Correct 3 ms 4948 KB answer = YES
18 Correct 3 ms 5024 KB answer = YES
19 Correct 3 ms 4948 KB answer = YES
20 Correct 3 ms 4948 KB answer = YES
21 Correct 2 ms 4948 KB answer = YES
22 Correct 3 ms 4948 KB answer = NO
23 Correct 3 ms 4948 KB answer = NO
24 Correct 3 ms 4948 KB answer = YES
25 Correct 3 ms 4948 KB answer = YES
26 Correct 4 ms 5028 KB answer = YES
27 Correct 3 ms 5028 KB answer = YES
28 Correct 3 ms 5028 KB answer = YES
29 Correct 3 ms 5024 KB answer = YES
30 Correct 3 ms 4948 KB answer = NO
31 Correct 3 ms 5032 KB answer = YES
32 Correct 3 ms 4948 KB answer = YES
33 Correct 3 ms 4996 KB answer = YES
34 Correct 3 ms 4948 KB answer = YES
35 Correct 3 ms 4948 KB answer = YES
36 Correct 3 ms 4948 KB answer = YES
37 Correct 3 ms 5032 KB answer = YES
38 Correct 4 ms 4948 KB answer = YES
39 Correct 3 ms 5076 KB answer = YES
40 Correct 3 ms 5164 KB answer = YES
41 Correct 3 ms 5068 KB answer = NO
42 Correct 4 ms 5164 KB answer = YES
43 Correct 5 ms 5076 KB answer = YES
44 Correct 4 ms 5076 KB answer = YES
45 Correct 4 ms 5076 KB answer = YES
46 Correct 3 ms 5076 KB answer = YES
47 Correct 3 ms 5076 KB answer = YES
48 Correct 3 ms 5076 KB answer = YES
49 Correct 12 ms 6228 KB answer = YES
50 Correct 12 ms 6700 KB answer = YES
51 Correct 14 ms 6636 KB answer = YES
52 Correct 8 ms 6484 KB answer = NO
53 Correct 5 ms 5076 KB answer = YES
54 Correct 6 ms 5220 KB answer = YES
55 Correct 7 ms 5676 KB answer = YES
56 Correct 11 ms 6228 KB answer = YES
57 Correct 11 ms 6132 KB answer = YES
58 Correct 10 ms 6100 KB answer = YES
59 Correct 9 ms 6100 KB answer = YES
60 Correct 11 ms 6192 KB answer = YES
61 Correct 8 ms 5588 KB answer = YES
62 Correct 61 ms 15384 KB answer = NO
63 Correct 69 ms 15444 KB answer = YES
64 Correct 58 ms 15368 KB answer = NO
65 Correct 67 ms 15564 KB answer = YES
66 Correct 5 ms 5204 KB answer = YES
67 Correct 96 ms 22800 KB answer = YES
68 Correct 82 ms 22744 KB answer = YES
69 Correct 79 ms 22716 KB answer = YES
70 Correct 116 ms 28980 KB answer = YES
71 Correct 78 ms 22720 KB answer = YES
72 Correct 111 ms 15448 KB answer = YES
73 Correct 101 ms 15372 KB answer = YES
74 Correct 65 ms 15708 KB answer = YES
75 Correct 45 ms 14964 KB answer = NO
76 Correct 13 ms 6448 KB answer = YES
77 Correct 26 ms 7780 KB answer = YES
78 Correct 48 ms 9596 KB answer = YES
79 Correct 92 ms 13908 KB answer = YES
80 Correct 73 ms 15844 KB answer = YES
81 Correct 48 ms 17980 KB answer = NO
82 Correct 109 ms 22076 KB answer = YES
83 Correct 121 ms 23480 KB answer = YES
84 Correct 136 ms 23300 KB answer = YES
85 Correct 92 ms 22796 KB answer = YES
86 Correct 82 ms 22872 KB answer = YES
87 Correct 71 ms 17332 KB answer = NO
88 Correct 119 ms 18748 KB answer = YES
89 Correct 97 ms 15736 KB answer = YES
90 Correct 98 ms 16756 KB answer = YES
91 Correct 117 ms 17268 KB answer = YES
92 Correct 42 ms 10764 KB answer = YES
93 Correct 41 ms 10788 KB answer = YES
94 Correct 78 ms 23392 KB answer = NO
95 Correct 59 ms 16428 KB answer = NO
96 Correct 165 ms 27696 KB answer = YES
97 Correct 46 ms 22820 KB answer = NO