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Submission #1003152

# Submission time Handle Problem Language Result Execution time Memory
1003152 2024-06-20T06:56:03 Z vjudge1 Subtree (INOI20_subtree) C++17
50 / 100
 65 ms 35704 KB 
#include <bits/stdc++.h>
 
using namespace std;
 
#define int long long
#define inf 0x3F3F3F3F3F3F3F3F
 
const int MXN = 1e5 + 5;
const int LOG = 20;
const int mod = 1e9 + 7;

vector<int> adj[MXN];
vector<array<int, 2>> g[MXN];
int p[MXN], used[MXN], down[MXN], bak[MXN];
int in[MXN], t[MXN], tim;
int dp[MXN];

void _init(int a)
{
  t[a] = ++tim;
  used[a] = 1;
  for (array<int, 2> &v : g[a])
  {
    if (v[0] != p[a] && used[v[0]]) bak[v[1]] = 1;
  }
  for (array<int, 2> &v : g[a])
  {
    if (!used[v[0]]) 
    {
      p[v[0]] = a;
      _init(v[0]);
    }
  }
}

void dfs(int a)
{
  for (int &v : adj[a])
  {
    dfs(v);
  }
  if (down[a])
  {
    vector<int> path;
    int x = down[a];
    while (x)
    {
      path.push_back(x);
      in[x] = 1;
      if (x == a) break;
      else assert(!down[x]);
      x = p[x];
    }
    reverse(path.begin(), path.end());
    vector<int> sum(path.size(), 0);
    int co = 1;
    for (int i = (int)path.size() - 1; i >= 0; i--)
    {
      if (i == (int)path.size() - 1) co = (co * dp[path[i]]) % mod;
      else
      {
        for (int &v : adj[path[i]]) 
        {
          if (!in[v] && v != p[path[i]]) 
          {
            co = (co * (dp[v] + 1)) % mod;
          }
        }
      }
      sum[i] = ((i + 1 < path.size() ? sum[i + 1] : 0) + co) % mod;
    }
    co = 1;
    for (int i = 0; i + 1 < path.size(); i++)
    {
      for (int &v : adj[path[i]])
      {
        if (!in[v] && v != p[path[i]]) 
        {
          co = (co * (dp[v] + 1)) % mod;
        }
      }
      dp[a] = (dp[a] + co) % mod;
      if (i + 2 < path.size()) dp[a] = (dp[a] + ((sum[i + 2] * co) % mod)) % mod;
    }
    for (int x : path) in[x] = 0;
  }
  else
  {
    dp[a] = 1;
    for (int &v : adj[a])
    {
      dp[a] = (dp[a] * (dp[v] + 1)) % mod;
    }
  }
}

signed main()
{
  ios_base::sync_with_stdio(0);
  cin.tie(0);
  int n, m;
  cin >> n >> m;
  for (int i = 1; i <= m; i++)
  {
    int u, v;
    cin >> u >> v;
    g[u].push_back({v, i});
    g[v].push_back({u, i});
  }
  _init(1);
  for (int a = 1; a <= n; a++)
  {
    for (array<int, 2> &v : g[a])
    {
      if (t[v[0]] > t[a] && !bak[v[1]]) adj[a].push_back(v[0]);
      else if (t[v[0]] > t[a] && bak[v[1]]) down[a] = v[0];
    }
  }
  dfs(1);
  int res = 0;
  for (int i = 1; i <= n; i++)
  {
    res = (res + dp[i]) % mod;
  }
  cout << res << '\n';
}
// 82 147 20 3 2 1 6 2 1 1 4 1 1
//  1   2  3 4 5 6 7 8 9 10 11 12 13
// 70 147 20 3 2 1 6 2 1  1  4  1  1

Compilation message

Main.cpp: In function 'void dfs(long long int)':
Main.cpp:70:24: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   70 |       sum[i] = ((i + 1 < path.size() ? sum[i + 1] : 0) + co) % mod;
      |                  ~~~~~~^~~~~~~~~~~~~
Main.cpp:73:27: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   73 |     for (int i = 0; i + 1 < path.size(); i++)
      |                     ~~~~~~^~~~~~~~~~~~~
Main.cpp:83:17: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   83 |       if (i + 2 < path.size()) dp[a] = (dp[a] + ((sum[i + 2] * co) % mod)) % mod;
      |           ~~~~~~^~~~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4956 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 3 ms 4996 KB Output is correct
4 Correct 2 ms 4956 KB Output is correct
5 Correct 2 ms 5156 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 2 ms 5156 KB Output is correct
8 Correct 2 ms 5212 KB Output is correct
9 Correct 2 ms 4956 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 2 ms 4956 KB Output is correct
12 Correct 2 ms 5160 KB Output is correct
13 Correct 2 ms 4956 KB Output is correct
14 Correct 2 ms 4952 KB Output is correct
15 Correct 2 ms 5156 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 2 ms 4956 KB Output is correct
18 Correct 2 ms 4956 KB Output is correct
19 Correct 2 ms 4956 KB Output is correct
20 Correct 2 ms 4956 KB Output is correct
21 Correct 2 ms 4956 KB Output is correct
22 Correct 2 ms 4956 KB Output is correct
23 Correct 3 ms 4956 KB Output is correct
24 Correct 2 ms 4956 KB Output is correct
25 Correct 2 ms 4956 KB Output is correct
26 Correct 2 ms 4956 KB Output is correct
27 Correct 2 ms 4956 KB Output is correct
28 Correct 2 ms 4956 KB Output is correct
29 Correct 2 ms 4956 KB Output is correct
30 Correct 2 ms 5156 KB Output is correct
31 Correct 2 ms 4956 KB Output is correct
32 Correct 2 ms 4956 KB Output is correct
33 Correct 2 ms 4956 KB Output is correct
34 Correct 2 ms 4956 KB Output is correct
35 Correct 2 ms 4956 KB Output is correct
36 Correct 2 ms 4956 KB Output is correct
37 Correct 2 ms 4956 KB Output is correct
38 Correct 2 ms 4956 KB Output is correct
39 Correct 2 ms 5192 KB Output is correct
40 Correct 2 ms 5156 KB Output is correct
41 Correct 2 ms 4956 KB Output is correct
42 Correct 2 ms 4956 KB Output is correct
43 Correct 3 ms 5160 KB Output is correct
44 Correct 2 ms 4956 KB Output is correct
45 Correct 2 ms 4956 KB Output is correct
46 Correct 2 ms 4956 KB Output is correct
47 Correct 2 ms 4956 KB Output is correct
48 Correct 2 ms 4956 KB Output is correct
49 Correct 2 ms 4956 KB Output is correct
50 Correct 2 ms 5160 KB Output is correct
51 Correct 2 ms 5208 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4956 KB Output is correct
2 Correct 5 ms 6236 KB Output is correct
3 Correct 36 ms 16340 KB Output is correct
4 Correct 43 ms 16212 KB Output is correct
5 Correct 39 ms 16220 KB Output is correct
6 Correct 38 ms 16212 KB Output is correct
7 Correct 65 ms 28500 KB Output is correct
8 Correct 47 ms 23876 KB Output is correct
9 Correct 51 ms 23504 KB Output is correct
10 Correct 27 ms 15632 KB Output is correct
11 Correct 32 ms 15808 KB Output is correct
12 Correct 48 ms 17104 KB Output is correct
13 Correct 49 ms 17492 KB Output is correct
14 Correct 39 ms 20668 KB Output is correct
15 Correct 55 ms 30020 KB Output is correct
16 Correct 58 ms 32080 KB Output is correct
17 Correct 43 ms 17444 KB Output is correct
18 Correct 44 ms 17488 KB Output is correct
19 Correct 51 ms 17604 KB Output is correct
20 Correct 30 ms 15520 KB Output is correct
21 Correct 28 ms 15060 KB Output is correct
22 Correct 26 ms 14840 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4956 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 3 ms 4996 KB Output is correct
4 Correct 2 ms 4956 KB Output is correct
5 Correct 2 ms 5156 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 2 ms 5156 KB Output is correct
8 Correct 2 ms 5212 KB Output is correct
9 Correct 2 ms 4956 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 2 ms 4956 KB Output is correct
12 Correct 2 ms 5160 KB Output is correct
13 Correct 2 ms 4956 KB Output is correct
14 Correct 2 ms 4952 KB Output is correct
15 Correct 2 ms 5156 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 2 ms 4956 KB Output is correct
18 Correct 2 ms 4956 KB Output is correct
19 Correct 2 ms 4956 KB Output is correct
20 Correct 2 ms 4956 KB Output is correct
21 Correct 2 ms 4956 KB Output is correct
22 Correct 2 ms 4956 KB Output is correct
23 Correct 3 ms 4956 KB Output is correct
24 Correct 2 ms 4956 KB Output is correct
25 Correct 2 ms 4956 KB Output is correct
26 Correct 2 ms 4956 KB Output is correct
27 Correct 2 ms 4956 KB Output is correct
28 Correct 2 ms 4956 KB Output is correct
29 Correct 2 ms 4956 KB Output is correct
30 Correct 2 ms 5156 KB Output is correct
31 Correct 2 ms 4956 KB Output is correct
32 Correct 2 ms 4956 KB Output is correct
33 Correct 2 ms 4956 KB Output is correct
34 Correct 2 ms 4956 KB Output is correct
35 Correct 2 ms 4956 KB Output is correct
36 Correct 2 ms 4956 KB Output is correct
37 Correct 2 ms 4956 KB Output is correct
38 Correct 2 ms 4956 KB Output is correct
39 Correct 2 ms 5192 KB Output is correct
40 Correct 2 ms 5156 KB Output is correct
41 Correct 2 ms 4956 KB Output is correct
42 Correct 2 ms 4956 KB Output is correct
43 Correct 3 ms 5160 KB Output is correct
44 Correct 2 ms 4956 KB Output is correct
45 Correct 2 ms 4956 KB Output is correct
46 Correct 2 ms 4956 KB Output is correct
47 Correct 2 ms 4956 KB Output is correct
48 Correct 2 ms 4956 KB Output is correct
49 Correct 2 ms 4956 KB Output is correct
50 Correct 2 ms 5160 KB Output is correct
51 Correct 2 ms 5208 KB Output is correct
52 Correct 4 ms 5824 KB Output is correct
53 Correct 4 ms 5724 KB Output is correct
54 Correct 4 ms 5720 KB Output is correct
55 Correct 6 ms 5720 KB Output is correct
56 Correct 7 ms 6340 KB Output is correct
57 Correct 3 ms 5572 KB Output is correct
58 Correct 3 ms 5720 KB Output is correct
59 Correct 6 ms 5980 KB Output is correct
60 Correct 3 ms 5724 KB Output is correct
61 Correct 4 ms 5812 KB Output is correct
62 Correct 7 ms 5980 KB Output is correct
63 Correct 3 ms 5468 KB Output is correct
64 Correct 3 ms 5468 KB Output is correct
65 Correct 4 ms 5684 KB Output is correct
66 Correct 7 ms 5724 KB Output is correct
67 Correct 3 ms 5724 KB Output is correct
68 Correct 5 ms 6236 KB Output is correct
69 Correct 4 ms 5724 KB Output is correct
70 Correct 6 ms 5724 KB Output is correct
71 Correct 5 ms 5724 KB Output is correct
72 Correct 5 ms 5980 KB Output is correct
73 Correct 6 ms 5724 KB Output is correct
74 Correct 5 ms 5888 KB Output is correct
75 Correct 5 ms 6236 KB Output is correct
76 Correct 5 ms 5724 KB Output is correct
77 Correct 5 ms 6232 KB Output is correct
78 Correct 5 ms 5980 KB Output is correct
79 Correct 5 ms 6236 KB Output is correct
80 Correct 6 ms 5828 KB Output is correct
81 Correct 4 ms 5684 KB Output is correct
82 Correct 4 ms 5724 KB Output is correct
83 Correct 4 ms 5684 KB Output is correct

Subtask #4
0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4956 KB Output is correct
2 Correct 2 ms 4956 KB Output is correct
3 Correct 3 ms 4996 KB Output is correct
4 Correct 2 ms 4956 KB Output is correct
5 Correct 2 ms 5156 KB Output is correct
6 Correct 2 ms 4956 KB Output is correct
7 Correct 2 ms 5156 KB Output is correct
8 Correct 2 ms 5212 KB Output is correct
9 Correct 2 ms 4956 KB Output is correct
10 Correct 2 ms 4956 KB Output is correct
11 Correct 2 ms 4956 KB Output is correct
12 Correct 2 ms 5160 KB Output is correct
13 Correct 2 ms 4956 KB Output is correct
14 Correct 2 ms 4952 KB Output is correct
15 Correct 2 ms 5156 KB Output is correct
16 Correct 2 ms 4956 KB Output is correct
17 Correct 2 ms 4956 KB Output is correct
18 Correct 2 ms 4956 KB Output is correct
19 Correct 2 ms 4956 KB Output is correct
20 Correct 2 ms 4956 KB Output is correct
21 Correct 2 ms 4956 KB Output is correct
22 Correct 2 ms 4956 KB Output is correct
23 Correct 3 ms 4956 KB Output is correct
24 Correct 2 ms 4956 KB Output is correct
25 Correct 2 ms 4956 KB Output is correct
26 Correct 2 ms 4956 KB Output is correct
27 Correct 2 ms 4956 KB Output is correct
28 Correct 2 ms 4956 KB Output is correct
29 Correct 2 ms 4956 KB Output is correct
30 Correct 2 ms 5156 KB Output is correct
31 Correct 2 ms 4956 KB Output is correct
32 Correct 2 ms 4956 KB Output is correct
33 Correct 2 ms 4956 KB Output is correct
34 Correct 2 ms 4956 KB Output is correct
35 Correct 2 ms 4956 KB Output is correct
36 Correct 2 ms 4956 KB Output is correct
37 Correct 2 ms 4956 KB Output is correct
38 Correct 2 ms 4956 KB Output is correct
39 Correct 2 ms 5192 KB Output is correct
40 Correct 2 ms 5156 KB Output is correct
41 Correct 2 ms 4956 KB Output is correct
42 Correct 2 ms 4956 KB Output is correct
43 Correct 3 ms 5160 KB Output is correct
44 Correct 2 ms 4956 KB Output is correct
45 Correct 2 ms 4956 KB Output is correct
46 Correct 2 ms 4956 KB Output is correct
47 Correct 2 ms 4956 KB Output is correct
48 Correct 2 ms 4956 KB Output is correct
49 Correct 2 ms 4956 KB Output is correct
50 Correct 2 ms 5160 KB Output is correct
51 Correct 2 ms 5208 KB Output is correct
52 Correct 2 ms 4956 KB Output is correct
53 Correct 5 ms 6236 KB Output is correct
54 Correct 36 ms 16340 KB Output is correct
55 Correct 43 ms 16212 KB Output is correct
56 Correct 39 ms 16220 KB Output is correct
57 Correct 38 ms 16212 KB Output is correct
58 Correct 65 ms 28500 KB Output is correct
59 Correct 47 ms 23876 KB Output is correct
60 Correct 51 ms 23504 KB Output is correct
61 Correct 27 ms 15632 KB Output is correct
62 Correct 32 ms 15808 KB Output is correct
63 Correct 48 ms 17104 KB Output is correct
64 Correct 49 ms 17492 KB Output is correct
65 Correct 39 ms 20668 KB Output is correct
66 Correct 55 ms 30020 KB Output is correct
67 Correct 58 ms 32080 KB Output is correct
68 Correct 43 ms 17444 KB Output is correct
69 Correct 44 ms 17488 KB Output is correct
70 Correct 51 ms 17604 KB Output is correct
71 Correct 30 ms 15520 KB Output is correct
72 Correct 28 ms 15060 KB Output is correct
73 Correct 26 ms 14840 KB Output is correct
74 Correct 4 ms 5824 KB Output is correct
75 Correct 4 ms 5724 KB Output is correct
76 Correct 4 ms 5720 KB Output is correct
77 Correct 6 ms 5720 KB Output is correct
78 Correct 7 ms 6340 KB Output is correct
79 Correct 3 ms 5572 KB Output is correct
80 Correct 3 ms 5720 KB Output is correct
81 Correct 6 ms 5980 KB Output is correct
82 Correct 3 ms 5724 KB Output is correct
83 Correct 4 ms 5812 KB Output is correct
84 Correct 7 ms 5980 KB Output is correct
85 Correct 3 ms 5468 KB Output is correct
86 Correct 3 ms 5468 KB Output is correct
87 Correct 4 ms 5684 KB Output is correct
88 Correct 7 ms 5724 KB Output is correct
89 Correct 3 ms 5724 KB Output is correct
90 Correct 5 ms 6236 KB Output is correct
91 Correct 4 ms 5724 KB Output is correct
92 Correct 6 ms 5724 KB Output is correct
93 Correct 5 ms 5724 KB Output is correct
94 Correct 5 ms 5980 KB Output is correct
95 Correct 6 ms 5724 KB Output is correct
96 Correct 5 ms 5888 KB Output is correct
97 Correct 5 ms 6236 KB Output is correct
98 Correct 5 ms 5724 KB Output is correct
99 Correct 5 ms 6232 KB Output is correct
100 Correct 5 ms 5980 KB Output is correct
101 Correct 5 ms 6236 KB Output is correct
102 Correct 6 ms 5828 KB Output is correct
103 Correct 4 ms 5684 KB Output is correct
104 Correct 4 ms 5724 KB Output is correct
105 Correct 4 ms 5684 KB Output is correct
106 Runtime error 63 ms 35704 KB Execution killed with signal 6
107 Halted 0 ms 0 KB -