oj.uz

Submission #1003591

# Submission time Handle Problem Language Result Execution time Memory
1003591 2024-06-20T13:29:12 Z fuad27 Subtree (INOI20_subtree) C++17
100 / 100
 89 ms 36868 KB 
#include <bits/stdc++.h>
using namespace std;
const int N=1e5+10;
const long long mod = 1e9+7;
long long binpow(long long a, long long b, long long MOD=mod) {
  a%=MOD;
  long long res = 1;
  while(b) {
    if(b&1){ 
      res=(res*a)%MOD;
    }
    a=(a*a)%MOD;
    b>>=1ll;
  }
  res%=MOD;
  return res;
}
vector<int> g[N];
vector<int> bridges[N];
vector<int> notBridges[N];
int add[N], depth[N];
bool vis[N];
vector<vector<int>> cycles;
int getCycle[N];
void dfsAdd(int at, int p) {
  vis[at]=1;
  for(int to:g[at]) {
    if(to==p)continue;
    if(vis[to] == 1) 
    {
      if(depth[at] > depth[to]) {
        add[at]++;
        add[to]--;
        notBridges[to].push_back(at);
        notBridges[at].push_back(to);
      }
      continue;
    }
    depth[to]=depth[at]+1;
    dfsAdd(to, at);
  }
}
void dfsGetBridges(int at, int p) {
  vis[at]=1;
  for(int to:g[at]) {
    if(vis[to])continue;
    dfsGetBridges(to, at);
    add[at]+=add[to];
  }
  if(p==0)return;
  if(add[at] == 0) {
    bridges[at].push_back(p);
    bridges[p].push_back(at);
  }
  else {
    notBridges[at].push_back(p);
    notBridges[p].push_back(at);
  }
}
vector<int> tempcycle;
void dfsGetCycles(int at) {
  tempcycle.push_back(at);
  vis[at]=1;
  for(int to:notBridges[at]) {
    if(vis[to])continue;
    dfsGetCycles(to);
  }
}
long long dp[N], tmpdp[N];
long long ans=0;
void dfsCalc(int c, int cc) {
  vis[c]=1;
  for(int at:cycles[c]) {
    dp[at]=1;
    for(int to:g[at]) {
      if(!vis[getCycle[to]]) {
        dfsCalc(getCycle[to], to);
        dp[at] = (dp[at]*(dp[to]+1))%mod;
      }
    }
  }
  if(cycles[c].size()==1){
    ans+=dp[cycles[c][0]];
    ans%=mod;
    return;
  }
  if(cc == -1) {
    cc=cycles[c][0];
  }


  int idx=0;
  for(int i = 0;i<cycles[c].size();i++) {
    if(cycles[c][i] == cc ) {
      idx=i;
    }
  }
  vector<int> cycle;
  for(int i = idx+1;i<cycles[c].size();i++)cycle.push_back(cycles[c][i]);
  for(int i = 0;i<idx;i++)cycle.push_back(cycles[c][i]);
  long long prod = 1;
  long long divsum = 1;
  int ss = cycle.size();
  int pref[ss];
  for(int i = 0;i<cycle.size();i++) {
    prod*=dp[cycle[i]];
    prod%=mod;
    ans += (prod*divsum)%mod;
    divsum = (divsum + binpow(prod, mod-2))%mod;
    pref[i] = prod;
  }
  for(int i = 1;i<cycle.size();i++) {
    pref[i] = (pref[i-1]+pref[i])%mod;
  }
  divsum=0;
  prod = dp[cc];
  {
    int i = cycle.size();
    ans=(ans+prod)%mod;
    tmpdp[cc] = (tmpdp[cc]+prod)%mod;
    ans=(ans+(prod*(pref[i-2]))%mod)%mod;
    tmpdp[cc] = (tmpdp[cc]+prod*(pref[i-2]))%mod;
  }
  for(int i = cycle.size()-1;i>=0;i--){ 
    prod = (prod*dp[cycle[i]])%mod;
    if(i!=0) {
      ans=(ans+prod)%mod;
      tmpdp[cc] = (tmpdp[cc]+prod)%mod;
    }
    if(i >= 2) {
      ans=(ans+(prod*(pref[i-2]))%mod)%mod;
      tmpdp[cc] = (tmpdp[cc]+prod*(pref[i-2]))%mod;
    }
  }
  dp[cc] = tmpdp[cc];
}
int main () {
  cin.tie(0)->sync_with_stdio(0);
  int n, m;
  cin >> n >> m;
  for(int i = 0;i<m;i++) {
    int u, v;
    cin >> u >> v;
    g[u].push_back(v);
    g[v].push_back(u);
  }
  dfsAdd(1, 0);
  memset(vis, 0, sizeof vis);
  dfsGetBridges(1, 0);
  memset(vis, 0, sizeof vis);
  for(int i = 1;i<=n;i++) {
    if(vis[i] == 0) {
      dfsGetCycles(i);
      for(int c:tempcycle) {
        getCycle[c] = cycles.size();
      }
      cycles.push_back(tempcycle);
      tempcycle.clear();
    }
  }
  memset(vis, 0, sizeof vis);
  dfsCalc(0, -1);
  cout << ans%mod << "\n";
}

Compilation message

Main.cpp: In function 'void dfsCalc(int, int)':
Main.cpp:93:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   93 |   for(int i = 0;i<cycles[c].size();i++) {
      |                 ~^~~~~~~~~~~~~~~~~
Main.cpp:99:22: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   99 |   for(int i = idx+1;i<cycles[c].size();i++)cycle.push_back(cycles[c][i]);
      |                     ~^~~~~~~~~~~~~~~~~
Main.cpp:105:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  105 |   for(int i = 0;i<cycle.size();i++) {
      |                 ~^~~~~~~~~~~~~
Main.cpp:112:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  112 |   for(int i = 1;i<cycle.size();i++) {
      |                 ~^~~~~~~~~~~~~

Subtask #1
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7516 KB Output is correct
2 Correct 3 ms 7516 KB Output is correct
3 Correct 3 ms 7516 KB Output is correct
4 Correct 3 ms 7516 KB Output is correct
5 Correct 3 ms 7512 KB Output is correct
6 Correct 3 ms 7516 KB Output is correct
7 Correct 3 ms 7540 KB Output is correct
8 Correct 3 ms 7516 KB Output is correct
9 Correct 3 ms 7516 KB Output is correct
10 Correct 3 ms 7516 KB Output is correct
11 Correct 3 ms 7516 KB Output is correct
12 Correct 3 ms 7516 KB Output is correct
13 Correct 2 ms 7516 KB Output is correct
14 Correct 3 ms 7772 KB Output is correct
15 Correct 3 ms 7516 KB Output is correct
16 Correct 3 ms 7404 KB Output is correct
17 Correct 3 ms 7516 KB Output is correct
18 Correct 3 ms 7516 KB Output is correct
19 Correct 3 ms 7516 KB Output is correct
20 Correct 3 ms 7772 KB Output is correct
21 Correct 3 ms 7516 KB Output is correct
22 Correct 3 ms 7516 KB Output is correct
23 Correct 3 ms 7520 KB Output is correct
24 Correct 3 ms 7516 KB Output is correct
25 Correct 3 ms 7528 KB Output is correct
26 Correct 3 ms 7512 KB Output is correct
27 Correct 3 ms 7516 KB Output is correct
28 Correct 3 ms 7516 KB Output is correct
29 Correct 3 ms 7516 KB Output is correct
30 Correct 3 ms 7540 KB Output is correct
31 Correct 3 ms 7516 KB Output is correct
32 Correct 2 ms 7516 KB Output is correct
33 Correct 3 ms 7524 KB Output is correct
34 Correct 3 ms 7516 KB Output is correct
35 Correct 3 ms 7516 KB Output is correct
36 Correct 3 ms 7516 KB Output is correct
37 Correct 2 ms 7516 KB Output is correct
38 Correct 3 ms 7512 KB Output is correct
39 Correct 3 ms 7512 KB Output is correct
40 Correct 3 ms 7524 KB Output is correct
41 Correct 3 ms 7516 KB Output is correct
42 Correct 3 ms 7516 KB Output is correct
43 Correct 3 ms 7516 KB Output is correct
44 Correct 3 ms 7516 KB Output is correct
45 Correct 3 ms 7516 KB Output is correct
46 Correct 3 ms 7516 KB Output is correct
47 Correct 3 ms 7516 KB Output is correct
48 Correct 3 ms 7456 KB Output is correct
49 Correct 3 ms 7516 KB Output is correct
50 Correct 3 ms 7516 KB Output is correct
51 Correct 3 ms 7516 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7520 KB Output is correct
2 Correct 7 ms 9044 KB Output is correct
3 Correct 62 ms 22532 KB Output is correct
4 Correct 62 ms 22528 KB Output is correct
5 Correct 47 ms 22532 KB Output is correct
6 Correct 51 ms 22528 KB Output is correct
7 Correct 65 ms 33536 KB Output is correct
8 Correct 69 ms 29592 KB Output is correct
9 Correct 56 ms 29448 KB Output is correct
10 Correct 47 ms 23296 KB Output is correct
11 Correct 45 ms 22856 KB Output is correct
12 Correct 89 ms 22528 KB Output is correct
13 Correct 61 ms 22380 KB Output is correct
14 Correct 52 ms 27712 KB Output is correct
15 Correct 85 ms 35452 KB Output is correct
16 Correct 71 ms 36868 KB Output is correct
17 Correct 65 ms 22456 KB Output is correct
18 Correct 57 ms 22528 KB Output is correct
19 Correct 74 ms 22468 KB Output is correct
20 Correct 43 ms 22720 KB Output is correct
21 Correct 41 ms 22788 KB Output is correct
22 Correct 42 ms 22788 KB Output is correct

Subtask #3
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7516 KB Output is correct
2 Correct 3 ms 7516 KB Output is correct
3 Correct 3 ms 7516 KB Output is correct
4 Correct 3 ms 7516 KB Output is correct
5 Correct 3 ms 7512 KB Output is correct
6 Correct 3 ms 7516 KB Output is correct
7 Correct 3 ms 7540 KB Output is correct
8 Correct 3 ms 7516 KB Output is correct
9 Correct 3 ms 7516 KB Output is correct
10 Correct 3 ms 7516 KB Output is correct
11 Correct 3 ms 7516 KB Output is correct
12 Correct 3 ms 7516 KB Output is correct
13 Correct 2 ms 7516 KB Output is correct
14 Correct 3 ms 7772 KB Output is correct
15 Correct 3 ms 7516 KB Output is correct
16 Correct 3 ms 7404 KB Output is correct
17 Correct 3 ms 7516 KB Output is correct
18 Correct 3 ms 7516 KB Output is correct
19 Correct 3 ms 7516 KB Output is correct
20 Correct 3 ms 7772 KB Output is correct
21 Correct 3 ms 7516 KB Output is correct
22 Correct 3 ms 7516 KB Output is correct
23 Correct 3 ms 7520 KB Output is correct
24 Correct 3 ms 7516 KB Output is correct
25 Correct 3 ms 7528 KB Output is correct
26 Correct 3 ms 7512 KB Output is correct
27 Correct 3 ms 7516 KB Output is correct
28 Correct 3 ms 7516 KB Output is correct
29 Correct 3 ms 7516 KB Output is correct
30 Correct 3 ms 7540 KB Output is correct
31 Correct 3 ms 7516 KB Output is correct
32 Correct 2 ms 7516 KB Output is correct
33 Correct 3 ms 7524 KB Output is correct
34 Correct 3 ms 7516 KB Output is correct
35 Correct 3 ms 7516 KB Output is correct
36 Correct 3 ms 7516 KB Output is correct
37 Correct 2 ms 7516 KB Output is correct
38 Correct 3 ms 7512 KB Output is correct
39 Correct 3 ms 7512 KB Output is correct
40 Correct 3 ms 7524 KB Output is correct
41 Correct 3 ms 7516 KB Output is correct
42 Correct 3 ms 7516 KB Output is correct
43 Correct 3 ms 7516 KB Output is correct
44 Correct 3 ms 7516 KB Output is correct
45 Correct 3 ms 7516 KB Output is correct
46 Correct 3 ms 7516 KB Output is correct
47 Correct 3 ms 7516 KB Output is correct
48 Correct 3 ms 7456 KB Output is correct
49 Correct 3 ms 7516 KB Output is correct
50 Correct 3 ms 7516 KB Output is correct
51 Correct 3 ms 7516 KB Output is correct
52 Correct 5 ms 8284 KB Output is correct
53 Correct 5 ms 8284 KB Output is correct
54 Correct 6 ms 8284 KB Output is correct
55 Correct 5 ms 8540 KB Output is correct
56 Correct 6 ms 8556 KB Output is correct
57 Correct 4 ms 8284 KB Output is correct
58 Correct 4 ms 8284 KB Output is correct
59 Correct 5 ms 8536 KB Output is correct
60 Correct 4 ms 8284 KB Output is correct
61 Correct 6 ms 8280 KB Output is correct
62 Correct 6 ms 8284 KB Output is correct
63 Correct 4 ms 8492 KB Output is correct
64 Correct 4 ms 8284 KB Output is correct
65 Correct 5 ms 8284 KB Output is correct
66 Correct 5 ms 8228 KB Output is correct
67 Correct 5 ms 8540 KB Output is correct
68 Correct 6 ms 8540 KB Output is correct
69 Correct 6 ms 8364 KB Output is correct
70 Correct 5 ms 8284 KB Output is correct
71 Correct 6 ms 8284 KB Output is correct
72 Correct 6 ms 8296 KB Output is correct
73 Correct 4 ms 8284 KB Output is correct
74 Correct 5 ms 8028 KB Output is correct
75 Correct 6 ms 8284 KB Output is correct
76 Correct 6 ms 8284 KB Output is correct
77 Correct 5 ms 8700 KB Output is correct
78 Correct 5 ms 8028 KB Output is correct
79 Correct 6 ms 8476 KB Output is correct
80 Correct 5 ms 8280 KB Output is correct
81 Correct 4 ms 8284 KB Output is correct
82 Correct 5 ms 8164 KB Output is correct
83 Correct 5 ms 8284 KB Output is correct

Subtask #4
50.0 / 50.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 7516 KB Output is correct
2 Correct 3 ms 7516 KB Output is correct
3 Correct 3 ms 7516 KB Output is correct
4 Correct 3 ms 7516 KB Output is correct
5 Correct 3 ms 7512 KB Output is correct
6 Correct 3 ms 7516 KB Output is correct
7 Correct 3 ms 7540 KB Output is correct
8 Correct 3 ms 7516 KB Output is correct
9 Correct 3 ms 7516 KB Output is correct
10 Correct 3 ms 7516 KB Output is correct
11 Correct 3 ms 7516 KB Output is correct
12 Correct 3 ms 7516 KB Output is correct
13 Correct 2 ms 7516 KB Output is correct
14 Correct 3 ms 7772 KB Output is correct
15 Correct 3 ms 7516 KB Output is correct
16 Correct 3 ms 7404 KB Output is correct
17 Correct 3 ms 7516 KB Output is correct
18 Correct 3 ms 7516 KB Output is correct
19 Correct 3 ms 7516 KB Output is correct
20 Correct 3 ms 7772 KB Output is correct
21 Correct 3 ms 7516 KB Output is correct
22 Correct 3 ms 7516 KB Output is correct
23 Correct 3 ms 7520 KB Output is correct
24 Correct 3 ms 7516 KB Output is correct
25 Correct 3 ms 7528 KB Output is correct
26 Correct 3 ms 7512 KB Output is correct
27 Correct 3 ms 7516 KB Output is correct
28 Correct 3 ms 7516 KB Output is correct
29 Correct 3 ms 7516 KB Output is correct
30 Correct 3 ms 7540 KB Output is correct
31 Correct 3 ms 7516 KB Output is correct
32 Correct 2 ms 7516 KB Output is correct
33 Correct 3 ms 7524 KB Output is correct
34 Correct 3 ms 7516 KB Output is correct
35 Correct 3 ms 7516 KB Output is correct
36 Correct 3 ms 7516 KB Output is correct
37 Correct 2 ms 7516 KB Output is correct
38 Correct 3 ms 7512 KB Output is correct
39 Correct 3 ms 7512 KB Output is correct
40 Correct 3 ms 7524 KB Output is correct
41 Correct 3 ms 7516 KB Output is correct
42 Correct 3 ms 7516 KB Output is correct
43 Correct 3 ms 7516 KB Output is correct
44 Correct 3 ms 7516 KB Output is correct
45 Correct 3 ms 7516 KB Output is correct
46 Correct 3 ms 7516 KB Output is correct
47 Correct 3 ms 7516 KB Output is correct
48 Correct 3 ms 7456 KB Output is correct
49 Correct 3 ms 7516 KB Output is correct
50 Correct 3 ms 7516 KB Output is correct
51 Correct 3 ms 7516 KB Output is correct
52 Correct 3 ms 7520 KB Output is correct
53 Correct 7 ms 9044 KB Output is correct
54 Correct 62 ms 22532 KB Output is correct
55 Correct 62 ms 22528 KB Output is correct
56 Correct 47 ms 22532 KB Output is correct
57 Correct 51 ms 22528 KB Output is correct
58 Correct 65 ms 33536 KB Output is correct
59 Correct 69 ms 29592 KB Output is correct
60 Correct 56 ms 29448 KB Output is correct
61 Correct 47 ms 23296 KB Output is correct
62 Correct 45 ms 22856 KB Output is correct
63 Correct 89 ms 22528 KB Output is correct
64 Correct 61 ms 22380 KB Output is correct
65 Correct 52 ms 27712 KB Output is correct
66 Correct 85 ms 35452 KB Output is correct
67 Correct 71 ms 36868 KB Output is correct
68 Correct 65 ms 22456 KB Output is correct
69 Correct 57 ms 22528 KB Output is correct
70 Correct 74 ms 22468 KB Output is correct
71 Correct 43 ms 22720 KB Output is correct
72 Correct 41 ms 22788 KB Output is correct
73 Correct 42 ms 22788 KB Output is correct
74 Correct 5 ms 8284 KB Output is correct
75 Correct 5 ms 8284 KB Output is correct
76 Correct 6 ms 8284 KB Output is correct
77 Correct 5 ms 8540 KB Output is correct
78 Correct 6 ms 8556 KB Output is correct
79 Correct 4 ms 8284 KB Output is correct
80 Correct 4 ms 8284 KB Output is correct
81 Correct 5 ms 8536 KB Output is correct
82 Correct 4 ms 8284 KB Output is correct
83 Correct 6 ms 8280 KB Output is correct
84 Correct 6 ms 8284 KB Output is correct
85 Correct 4 ms 8492 KB Output is correct
86 Correct 4 ms 8284 KB Output is correct
87 Correct 5 ms 8284 KB Output is correct
88 Correct 5 ms 8228 KB Output is correct
89 Correct 5 ms 8540 KB Output is correct
90 Correct 6 ms 8540 KB Output is correct
91 Correct 6 ms 8364 KB Output is correct
92 Correct 5 ms 8284 KB Output is correct
93 Correct 6 ms 8284 KB Output is correct
94 Correct 6 ms 8296 KB Output is correct
95 Correct 4 ms 8284 KB Output is correct
96 Correct 5 ms 8028 KB Output is correct
97 Correct 6 ms 8284 KB Output is correct
98 Correct 6 ms 8284 KB Output is correct
99 Correct 5 ms 8700 KB Output is correct
100 Correct 5 ms 8028 KB Output is correct
101 Correct 6 ms 8476 KB Output is correct
102 Correct 5 ms 8280 KB Output is correct
103 Correct 4 ms 8284 KB Output is correct
104 Correct 5 ms 8164 KB Output is correct
105 Correct 5 ms 8284 KB Output is correct
106 Correct 61 ms 23044 KB Output is correct
107 Correct 64 ms 23044 KB Output is correct
108 Correct 67 ms 22788 KB Output is correct
109 Correct 56 ms 22788 KB Output is correct
110 Correct 44 ms 23560 KB Output is correct
111 Correct 52 ms 24572 KB Output is correct
112 Correct 82 ms 26712 KB Output is correct
113 Correct 62 ms 21000 KB Output is correct
114 Correct 77 ms 22288 KB Output is correct
115 Correct 46 ms 23100 KB Output is correct
116 Correct 74 ms 27400 KB Output is correct
117 Correct 85 ms 26376 KB Output is correct
118 Correct 39 ms 24376 KB Output is correct
119 Correct 64 ms 21004 KB Output is correct
120 Correct 76 ms 21232 KB Output is correct
121 Correct 66 ms 21260 KB Output is correct
122 Correct 79 ms 21436 KB Output is correct
123 Correct 40 ms 23296 KB Output is correct
124 Correct 47 ms 22796 KB Output is correct
125 Correct 46 ms 22848 KB Output is correct
126 Correct 57 ms 23040 KB Output is correct
127 Correct 60 ms 23040 KB Output is correct
128 Correct 64 ms 22792 KB Output is correct
129 Correct 67 ms 22788 KB Output is correct
130 Correct 46 ms 23552 KB Output is correct
131 Correct 53 ms 24492 KB Output is correct
132 Correct 78 ms 26632 KB Output is correct
133 Correct 64 ms 20744 KB Output is correct
134 Correct 70 ms 22292 KB Output is correct
135 Correct 44 ms 23104 KB Output is correct
136 Correct 72 ms 25608 KB Output is correct
137 Correct 79 ms 26116 KB Output is correct
138 Correct 42 ms 24164 KB Output is correct
139 Correct 64 ms 20892 KB Output is correct
140 Correct 75 ms 21180 KB Output is correct
141 Correct 73 ms 21284 KB Output is correct
142 Correct 72 ms 21508 KB Output is correct
143 Correct 47 ms 23300 KB Output is correct
144 Correct 44 ms 23044 KB Output is correct
145 Correct 41 ms 22856 KB Output is correct
146 Correct 69 ms 19344 KB Output is correct
147 Correct 63 ms 18128 KB Output is correct
148 Correct 60 ms 18256 KB Output is correct
149 Correct 59 ms 19028 KB Output is correct
150 Correct 68 ms 26700 KB Output is correct
151 Correct 67 ms 19368 KB Output is correct
152 Correct 81 ms 21000 KB Output is correct
153 Correct 70 ms 21172 KB Output is correct
154 Correct 61 ms 20800 KB Output is correct
155 Correct 48 ms 23824 KB Output is correct
156 Correct 60 ms 23120 KB Output is correct
157 Correct 68 ms 22340 KB Output is correct
158 Correct 65 ms 21840 KB Output is correct
159 Correct 63 ms 23044 KB Output is correct
160 Correct 71 ms 31892 KB Output is correct
161 Correct 53 ms 22236 KB Output is correct
162 Correct 47 ms 23044 KB Output is correct