답안 #1003155

#	제출 시각	아이디	문제	언어	결과	실행 시간	메모리
1003155	2024-06-20T06:57:08 Z	vjudge1	Subtree (INOI20_subtree)	C++17	100 / 100	116 ms	74320 KB

Main

#include <bits/stdc++.h>
 
using namespace std;
 
#define int long long
#define inf 0x3F3F3F3F3F3F3F3F
 
const int MXN = 1e6 + 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';
}

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

#	결과	실행 시간	메모리	Grader output
1	Correct	17 ms	47452 KB	Output is correct
2	Correct	17 ms	47424 KB	Output is correct
3	Correct	20 ms	47448 KB	Output is correct
4	Correct	18 ms	47400 KB	Output is correct
5	Correct	22 ms	47448 KB	Output is correct
6	Correct	18 ms	47452 KB	Output is correct
7	Correct	21 ms	47448 KB	Output is correct
8	Correct	18 ms	47448 KB	Output is correct
9	Correct	18 ms	47448 KB	Output is correct
10	Correct	18 ms	47452 KB	Output is correct
11	Correct	19 ms	47452 KB	Output is correct
12	Correct	20 ms	47452 KB	Output is correct
13	Correct	18 ms	47452 KB	Output is correct
14	Correct	18 ms	47452 KB	Output is correct
15	Correct	18 ms	47428 KB	Output is correct
16	Correct	18 ms	47448 KB	Output is correct
17	Correct	18 ms	47452 KB	Output is correct
18	Correct	19 ms	47452 KB	Output is correct
19	Correct	17 ms	47452 KB	Output is correct
20	Correct	17 ms	47300 KB	Output is correct
21	Correct	18 ms	47448 KB	Output is correct
22	Correct	18 ms	47452 KB	Output is correct
23	Correct	22 ms	47452 KB	Output is correct
24	Correct	18 ms	47240 KB	Output is correct
25	Correct	19 ms	47452 KB	Output is correct
26	Correct	18 ms	47452 KB	Output is correct
27	Correct	18 ms	47388 KB	Output is correct
28	Correct	18 ms	47448 KB	Output is correct
29	Correct	18 ms	47452 KB	Output is correct
30	Correct	17 ms	47364 KB	Output is correct
31	Correct	18 ms	47448 KB	Output is correct
32	Correct	18 ms	47296 KB	Output is correct
33	Correct	18 ms	47468 KB	Output is correct
34	Correct	18 ms	47452 KB	Output is correct
35	Correct	22 ms	47452 KB	Output is correct
36	Correct	18 ms	47452 KB	Output is correct
37	Correct	20 ms	47452 KB	Output is correct
38	Correct	17 ms	47452 KB	Output is correct
39	Correct	17 ms	47452 KB	Output is correct
40	Correct	18 ms	47452 KB	Output is correct
41	Correct	18 ms	47440 KB	Output is correct
42	Correct	18 ms	47452 KB	Output is correct
43	Correct	18 ms	47240 KB	Output is correct
44	Correct	22 ms	47452 KB	Output is correct
45	Correct	18 ms	47452 KB	Output is correct
46	Correct	23 ms	47452 KB	Output is correct
47	Correct	18 ms	47452 KB	Output is correct
48	Correct	20 ms	47452 KB	Output is correct
49	Correct	17 ms	47248 KB	Output is correct
50	Correct	19 ms	47452 KB	Output is correct
51	Correct	19 ms	47268 KB	Output is correct

Subtask #2
12.0 / 12.0

#	결과	실행 시간	메모리	Grader output
1	Correct	18 ms	47452 KB	Output is correct
2	Correct	22 ms	48476 KB	Output is correct
3	Correct	59 ms	58548 KB	Output is correct
4	Correct	58 ms	58520 KB	Output is correct
5	Correct	62 ms	58708 KB	Output is correct
6	Correct	56 ms	58656 KB	Output is correct
7	Correct	68 ms	70740 KB	Output is correct
8	Correct	73 ms	66132 KB	Output is correct
9	Correct	67 ms	65640 KB	Output is correct
10	Correct	59 ms	57940 KB	Output is correct
11	Correct	56 ms	58328 KB	Output is correct
12	Correct	68 ms	59332 KB	Output is correct
13	Correct	72 ms	59792 KB	Output is correct
14	Correct	62 ms	62916 KB	Output is correct
15	Correct	76 ms	72392 KB	Output is correct
16	Correct	75 ms	74320 KB	Output is correct
17	Correct	75 ms	59728 KB	Output is correct
18	Correct	74 ms	59924 KB	Output is correct
19	Correct	65 ms	59720 KB	Output is correct
20	Correct	44 ms	57772 KB	Output is correct
21	Correct	51 ms	57392 KB	Output is correct
22	Correct	49 ms	57212 KB	Output is correct

Subtask #3
30.0 / 30.0

#	결과	실행 시간	메모리	Grader output
1	Correct	17 ms	47452 KB	Output is correct
2	Correct	17 ms	47424 KB	Output is correct
3	Correct	20 ms	47448 KB	Output is correct
4	Correct	18 ms	47400 KB	Output is correct
5	Correct	22 ms	47448 KB	Output is correct
6	Correct	18 ms	47452 KB	Output is correct
7	Correct	21 ms	47448 KB	Output is correct
8	Correct	18 ms	47448 KB	Output is correct
9	Correct	18 ms	47448 KB	Output is correct
10	Correct	18 ms	47452 KB	Output is correct
11	Correct	19 ms	47452 KB	Output is correct
12	Correct	20 ms	47452 KB	Output is correct
13	Correct	18 ms	47452 KB	Output is correct
14	Correct	18 ms	47452 KB	Output is correct
15	Correct	18 ms	47428 KB	Output is correct
16	Correct	18 ms	47448 KB	Output is correct
17	Correct	18 ms	47452 KB	Output is correct
18	Correct	19 ms	47452 KB	Output is correct
19	Correct	17 ms	47452 KB	Output is correct
20	Correct	17 ms	47300 KB	Output is correct
21	Correct	18 ms	47448 KB	Output is correct
22	Correct	18 ms	47452 KB	Output is correct
23	Correct	22 ms	47452 KB	Output is correct
24	Correct	18 ms	47240 KB	Output is correct
25	Correct	19 ms	47452 KB	Output is correct
26	Correct	18 ms	47452 KB	Output is correct
27	Correct	18 ms	47388 KB	Output is correct
28	Correct	18 ms	47448 KB	Output is correct
29	Correct	18 ms	47452 KB	Output is correct
30	Correct	17 ms	47364 KB	Output is correct
31	Correct	18 ms	47448 KB	Output is correct
32	Correct	18 ms	47296 KB	Output is correct
33	Correct	18 ms	47468 KB	Output is correct
34	Correct	18 ms	47452 KB	Output is correct
35	Correct	22 ms	47452 KB	Output is correct
36	Correct	18 ms	47452 KB	Output is correct
37	Correct	20 ms	47452 KB	Output is correct
38	Correct	17 ms	47452 KB	Output is correct
39	Correct	17 ms	47452 KB	Output is correct
40	Correct	18 ms	47452 KB	Output is correct
41	Correct	18 ms	47440 KB	Output is correct
42	Correct	18 ms	47452 KB	Output is correct
43	Correct	18 ms	47240 KB	Output is correct
44	Correct	22 ms	47452 KB	Output is correct
45	Correct	18 ms	47452 KB	Output is correct
46	Correct	23 ms	47452 KB	Output is correct
47	Correct	18 ms	47452 KB	Output is correct
48	Correct	20 ms	47452 KB	Output is correct
49	Correct	17 ms	47248 KB	Output is correct
50	Correct	19 ms	47452 KB	Output is correct
51	Correct	19 ms	47268 KB	Output is correct
52	Correct	20 ms	48068 KB	Output is correct
53	Correct	19 ms	48148 KB	Output is correct
54	Correct	20 ms	48216 KB	Output is correct
55	Correct	21 ms	47964 KB	Output is correct
56	Correct	19 ms	48828 KB	Output is correct
57	Correct	20 ms	47952 KB	Output is correct
58	Correct	23 ms	47964 KB	Output is correct
59	Correct	19 ms	48304 KB	Output is correct
60	Correct	19 ms	48060 KB	Output is correct
61	Correct	20 ms	47956 KB	Output is correct
62	Correct	20 ms	48220 KB	Output is correct
63	Correct	21 ms	47952 KB	Output is correct
64	Correct	19 ms	47964 KB	Output is correct
65	Correct	21 ms	47912 KB	Output is correct
66	Correct	20 ms	47964 KB	Output is correct
67	Correct	19 ms	47960 KB	Output is correct
68	Correct	19 ms	48476 KB	Output is correct
69	Correct	20 ms	47964 KB	Output is correct
70	Correct	20 ms	47960 KB	Output is correct
71	Correct	21 ms	48028 KB	Output is correct
72	Correct	19 ms	48168 KB	Output is correct
73	Correct	20 ms	47960 KB	Output is correct
74	Correct	21 ms	48188 KB	Output is correct
75	Correct	20 ms	48436 KB	Output is correct
76	Correct	20 ms	48104 KB	Output is correct
77	Correct	21 ms	48728 KB	Output is correct
78	Correct	20 ms	48220 KB	Output is correct
79	Correct	20 ms	48472 KB	Output is correct
80	Correct	20 ms	48220 KB	Output is correct
81	Correct	19 ms	48084 KB	Output is correct
82	Correct	20 ms	48116 KB	Output is correct
83	Correct	19 ms	48040 KB	Output is correct

Subtask #4
50.0 / 50.0

#	결과	실행 시간	메모리	Grader output
1	Correct	17 ms	47452 KB	Output is correct
2	Correct	17 ms	47424 KB	Output is correct
3	Correct	20 ms	47448 KB	Output is correct
4	Correct	18 ms	47400 KB	Output is correct
5	Correct	22 ms	47448 KB	Output is correct
6	Correct	18 ms	47452 KB	Output is correct
7	Correct	21 ms	47448 KB	Output is correct
8	Correct	18 ms	47448 KB	Output is correct
9	Correct	18 ms	47448 KB	Output is correct
10	Correct	18 ms	47452 KB	Output is correct
11	Correct	19 ms	47452 KB	Output is correct
12	Correct	20 ms	47452 KB	Output is correct
13	Correct	18 ms	47452 KB	Output is correct
14	Correct	18 ms	47452 KB	Output is correct
15	Correct	18 ms	47428 KB	Output is correct
16	Correct	18 ms	47448 KB	Output is correct
17	Correct	18 ms	47452 KB	Output is correct
18	Correct	19 ms	47452 KB	Output is correct
19	Correct	17 ms	47452 KB	Output is correct
20	Correct	17 ms	47300 KB	Output is correct
21	Correct	18 ms	47448 KB	Output is correct
22	Correct	18 ms	47452 KB	Output is correct
23	Correct	22 ms	47452 KB	Output is correct
24	Correct	18 ms	47240 KB	Output is correct
25	Correct	19 ms	47452 KB	Output is correct
26	Correct	18 ms	47452 KB	Output is correct
27	Correct	18 ms	47388 KB	Output is correct
28	Correct	18 ms	47448 KB	Output is correct
29	Correct	18 ms	47452 KB	Output is correct
30	Correct	17 ms	47364 KB	Output is correct
31	Correct	18 ms	47448 KB	Output is correct
32	Correct	18 ms	47296 KB	Output is correct
33	Correct	18 ms	47468 KB	Output is correct
34	Correct	18 ms	47452 KB	Output is correct
35	Correct	22 ms	47452 KB	Output is correct
36	Correct	18 ms	47452 KB	Output is correct
37	Correct	20 ms	47452 KB	Output is correct
38	Correct	17 ms	47452 KB	Output is correct
39	Correct	17 ms	47452 KB	Output is correct
40	Correct	18 ms	47452 KB	Output is correct
41	Correct	18 ms	47440 KB	Output is correct
42	Correct	18 ms	47452 KB	Output is correct
43	Correct	18 ms	47240 KB	Output is correct
44	Correct	22 ms	47452 KB	Output is correct
45	Correct	18 ms	47452 KB	Output is correct
46	Correct	23 ms	47452 KB	Output is correct
47	Correct	18 ms	47452 KB	Output is correct
48	Correct	20 ms	47452 KB	Output is correct
49	Correct	17 ms	47248 KB	Output is correct
50	Correct	19 ms	47452 KB	Output is correct
51	Correct	19 ms	47268 KB	Output is correct
52	Correct	18 ms	47452 KB	Output is correct
53	Correct	22 ms	48476 KB	Output is correct
54	Correct	59 ms	58548 KB	Output is correct
55	Correct	58 ms	58520 KB	Output is correct
56	Correct	62 ms	58708 KB	Output is correct
57	Correct	56 ms	58656 KB	Output is correct
58	Correct	68 ms	70740 KB	Output is correct
59	Correct	73 ms	66132 KB	Output is correct
60	Correct	67 ms	65640 KB	Output is correct
61	Correct	59 ms	57940 KB	Output is correct
62	Correct	56 ms	58328 KB	Output is correct
63	Correct	68 ms	59332 KB	Output is correct
64	Correct	72 ms	59792 KB	Output is correct
65	Correct	62 ms	62916 KB	Output is correct
66	Correct	76 ms	72392 KB	Output is correct
67	Correct	75 ms	74320 KB	Output is correct
68	Correct	75 ms	59728 KB	Output is correct
69	Correct	74 ms	59924 KB	Output is correct
70	Correct	65 ms	59720 KB	Output is correct
71	Correct	44 ms	57772 KB	Output is correct
72	Correct	51 ms	57392 KB	Output is correct
73	Correct	49 ms	57212 KB	Output is correct
74	Correct	20 ms	48068 KB	Output is correct
75	Correct	19 ms	48148 KB	Output is correct
76	Correct	20 ms	48216 KB	Output is correct
77	Correct	21 ms	47964 KB	Output is correct
78	Correct	19 ms	48828 KB	Output is correct
79	Correct	20 ms	47952 KB	Output is correct
80	Correct	23 ms	47964 KB	Output is correct
81	Correct	19 ms	48304 KB	Output is correct
82	Correct	19 ms	48060 KB	Output is correct
83	Correct	20 ms	47956 KB	Output is correct
84	Correct	20 ms	48220 KB	Output is correct
85	Correct	21 ms	47952 KB	Output is correct
86	Correct	19 ms	47964 KB	Output is correct
87	Correct	21 ms	47912 KB	Output is correct
88	Correct	20 ms	47964 KB	Output is correct
89	Correct	19 ms	47960 KB	Output is correct
90	Correct	19 ms	48476 KB	Output is correct
91	Correct	20 ms	47964 KB	Output is correct
92	Correct	20 ms	47960 KB	Output is correct
93	Correct	21 ms	48028 KB	Output is correct
94	Correct	19 ms	48168 KB	Output is correct
95	Correct	20 ms	47960 KB	Output is correct
96	Correct	21 ms	48188 KB	Output is correct
97	Correct	20 ms	48436 KB	Output is correct
98	Correct	20 ms	48104 KB	Output is correct
99	Correct	21 ms	48728 KB	Output is correct
100	Correct	20 ms	48220 KB	Output is correct
101	Correct	20 ms	48472 KB	Output is correct
102	Correct	20 ms	48220 KB	Output is correct
103	Correct	19 ms	48084 KB	Output is correct
104	Correct	20 ms	48116 KB	Output is correct
105	Correct	19 ms	48040 KB	Output is correct
106	Correct	60 ms	61268 KB	Output is correct
107	Correct	67 ms	61520 KB	Output is correct
108	Correct	63 ms	61520 KB	Output is correct
109	Correct	65 ms	61556 KB	Output is correct
110	Correct	49 ms	58192 KB	Output is correct
111	Correct	55 ms	62036 KB	Output is correct
112	Correct	91 ms	71728 KB	Output is correct
113	Correct	71 ms	62548 KB	Output is correct
114	Correct	81 ms	62412 KB	Output is correct
115	Correct	51 ms	58340 KB	Output is correct
116	Correct	81 ms	72784 KB	Output is correct
117	Correct	116 ms	71376 KB	Output is correct
118	Correct	51 ms	61892 KB	Output is correct
119	Correct	77 ms	62556 KB	Output is correct
120	Correct	84 ms	62800 KB	Output is correct
121	Correct	87 ms	63312 KB	Output is correct
122	Correct	106 ms	63400 KB	Output is correct
123	Correct	49 ms	57936 KB	Output is correct
124	Correct	60 ms	57392 KB	Output is correct
125	Correct	46 ms	58052 KB	Output is correct
126	Correct	51 ms	61132 KB	Output is correct
127	Correct	62 ms	61472 KB	Output is correct
128	Correct	71 ms	61520 KB	Output is correct
129	Correct	75 ms	61620 KB	Output is correct
130	Correct	52 ms	58160 KB	Output is correct
131	Correct	53 ms	62032 KB	Output is correct
132	Correct	88 ms	71248 KB	Output is correct
133	Correct	73 ms	62608 KB	Output is correct
134	Correct	71 ms	62472 KB	Output is correct
135	Correct	48 ms	58300 KB	Output is correct
136	Correct	70 ms	70512 KB	Output is correct
137	Correct	77 ms	70560 KB	Output is correct
138	Correct	62 ms	61560 KB	Output is correct
139	Correct	76 ms	62544 KB	Output is correct
140	Correct	75 ms	62808 KB	Output is correct
141	Correct	71 ms	63224 KB	Output is correct
142	Correct	76 ms	63312 KB	Output is correct
143	Correct	50 ms	57940 KB	Output is correct
144	Correct	58 ms	57524 KB	Output is correct
145	Correct	46 ms	58052 KB	Output is correct
146	Correct	73 ms	62840 KB	Output is correct
147	Correct	76 ms	62288 KB	Output is correct
148	Correct	67 ms	62040 KB	Output is correct
149	Correct	69 ms	62944 KB	Output is correct
150	Correct	75 ms	72904 KB	Output is correct
151	Correct	77 ms	63068 KB	Output is correct
152	Correct	87 ms	63568 KB	Output is correct
153	Correct	76 ms	63784 KB	Output is correct
154	Correct	66 ms	62424 KB	Output is correct
155	Correct	50 ms	59832 KB	Output is correct
156	Correct	80 ms	70268 KB	Output is correct
157	Correct	70 ms	68944 KB	Output is correct
158	Correct	71 ms	67820 KB	Output is correct
159	Correct	63 ms	61996 KB	Output is correct
160	Correct	96 ms	71468 KB	Output is correct
161	Correct	68 ms	61012 KB	Output is correct
162	Correct	48 ms	58964 KB	Output is correct

답안 #1003155

Compilation message

Subtask #1 8.0 / 8.0

Subtask #2 12.0 / 12.0

Subtask #3 30.0 / 30.0

Subtask #4 50.0 / 50.0

Subtask #1
8.0 / 8.0

Subtask #2
12.0 / 12.0

Subtask #3
30.0 / 30.0

Subtask #4
50.0 / 50.0