#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>
//#include "temp.cpp"
#include <cstdio>
using namespace std;
#ifndef ONLINE_JUDGE
#define dbg(x) cerr << #x <<" "; print(x); cerr << endl;
#else
#define dbg(x)
#endif
#define sz(x) (int)x.size()
#define len(x) (int)x.length()
#define all(x) (x).begin(), (x).end()
#define rall(x) (x).rbegin(), (x).rend()
#define clr(x) (x).clear()
#define uniq(x) x.resize(unique(all(x)) - x.begin());
#define blt __builtin_popcount
#define pb push_back
#define popf pop_front
#define popb pop_back
#define ld long double
#define ll long long
void print(long long t) {cerr << t;}
void print(int t) {cerr << t;}
void print(string t) {cerr << t;}
void print(char t) {cerr << t;}
void print(double t) {cerr << t;}
void print(long double t) {cerr << t;}
void print(unsigned long long t) {cerr << t;}
#include <ext/pb_ds/assoc_container.hpp>
using namespace __gnu_pbds;
#define nl '\n'
// Indexed Set
template <class T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template <class T, class V> void print(pair <T, V> p);
template <class T> void print(vector <T> v);
template <class T> void print(set <T> v);
template <class T, class V> void print(map <T, V> v);
template <class T> void print(multiset <T> v);
template <class T, class V> void print(T v[],V n) {cerr << "["; for(int i = 0; i < n; i++) {print(v[i]); cerr << " "; } cerr << "]";}
template <class T, class V> void print(pair <T, V> p) {cerr << "{"; print(p.first); cerr << ","; print(p.second); cerr << "}";}
template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
// template <class T> void print(vector <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(set <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(multiset <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(Tree <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T, class V> void print(map <T, V> v) {cerr << "[ "; for (auto i : v) {print(i); cerr << " ";} cerr << "]";}
template <class T> void print(deque <T> v) {cerr << "[ "; for (T i : v) {print(i); cerr << " ";} cerr << "]";}
// for random generations
mt19937 myrand(chrono::steady_clock::now().time_since_epoch().count());
// mt19937 myrand(131);
// for grid problems
int dx[8] = {-1,0,1,0,1,-1,1,-1};
int dy[8] = {0,1,0,-1,1,1,-1,-1};
// lowest / (1 << 17) >= 1e5 / (1 << 18) >= 2e5 / (1 << 21) >= 1e6
void fastIO() {
ios_base::sync_with_stdio(false);
cin.tie(nullptr); cout.tie(nullptr);
}
// file in/out
void setIO(string str = "") {
fastIO();
if(str == "input") {
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
} else if(str != "") {
freopen((str + ".in").c_str(), "r", stdin);
freopen((str + ".out").c_str(), "w", stdout);
}
}
const int N = 4e5 + 10;
vector<int> adj[N], comps[N];
vector<pair<int, int>> adj2[N];
bool vis[N], vis2[N];
int dp[51][51][51];
long long n, m, ans, n2;
int st, tin[N], tout[N], timer;
int low[N], comp[N], sz_comp[N];
set<pair<int, int>> mp;
void IS_BRIDGE(int a, int b) {
mp.insert({a, b});
mp.insert({b, a});
}
void dfs(int v, int p = -1) {
vis[v] = true;
tin[v] = low[v] = timer++;
for (int to : adj[v]) {
if (to == p) continue;
if (vis[to]) {
low[v] = min(low[v], tin[to]);
} else {
dfs(to, v);
low[v] = min(low[v], low[to]);
if (low[to] > tin[v]) {
IS_BRIDGE(v, to);
}
}
}
}
void dfs_gen(int node) {
vis[node] = true;
comps[st].push_back(node);
for(auto i: adj[node]) {
pair<int, int> edge = {i, node};
if(mp.find(edge) != mp.end()) {
if(comp[i]) {
adj2[st].push_back({comp[i], node});
adj2[comp[i]].push_back({st, i});
}
continue;
}
if(vis[i]) continue;
comp[i] = st;
sz_comp[i]++;
dfs_gen(i);
}
}
long long sub[N];
void dfsik(int node, int parent) {
vis[node] = true;
sub[node] = sz(comps[node]);
for(auto i: adj2[node]) {
if(i.first == parent) continue;
dfsik(i.first, node);
sub[node] += sub[i.first];
}
}
long long cur_al = 0, answ = 0;
vector<long long> have[N];
long long val[N];
vector<long long> whi;
void dfs1(int node, int parent) {
vector<long long> child;
if(sub[node] != cur_al) {
long long vle = cur_al - sub[node];;
for(auto i: adj2[node]) {
if(i.first == parent) {
have[i.second].push_back(vle);
val[i.second] += vle;
whi.push_back(i.second);
}
}
}
for(auto i: adj2[node]) {
if(i.first == parent) continue;
if(sz(have[i.second])) {
have[i.second].push_back(sub[i.first]);
val[i.second] += sub[i.first];
} else {
have[i.second].push_back(sub[i.first]);
val[i.second] += sub[i.first];
whi.push_back(i.second);
}
}
long long sum = cur_al - sz(comps[node]);
long long add = 0;
for(auto i: whi) {
long long bu = val[i];
long long cmp = sz(comps[node]);
answ += 2ll * (sum - bu) * bu * cmp;
add += 2ll * (sum - bu) * bu * cmp;
sum -= bu;
}
// dbg(node)
// dbg(whi)
if(sz(comps[node]) != 1) {
for(auto i: whi) {
long long bu = val[i];
long long cmp = sz(comps[node]);
answ += 2ll * bu * (cmp - 1);
answ += 2ll * bu * (cmp - 1) * (cmp - 2);
}
}
for(auto i: whi) {
sum = val[i];
for(auto j: have[i]) {
answ += 2 * (sum - j) * j;
sum -= j;
}
val[i] = 0;
have[i].clear();
}
whi.clear();
for(auto i: adj2[node]) {
if(i.first == parent) continue;
dfs1(i.first, node);
}
}
long long c_n(long long x) {
if(x < 2) return 0;
return x * (x - 1);
}
void solve_() {
cin >> n >> m;
for(int i = 1; i <= m; i++) {
int a, b; cin >> a >> b;
adj[a].push_back(b);
adj[b].push_back(a);
}
for(int i = 1; i <= n; i++) {
low[i] = tin[i] = -1;
}
for(int i = 1; i <= n; i++) {
if(vis[i]) continue;
dfs(i, 0);
}
memset(vis, 0, sizeof(vis));
for(int i = 1; i <= n; i++) {
if(!vis[i]) {
st = i;
comp[i] = st;
sz_comp[i]++;
dfs_gen(i);
}
}
for(int i = 1; i <= n; i++) {
sort(all(adj2[i]));
uniq(adj2[i]);
}
for(int i = 1; i <= n; i++) {
if(comp[i] == i) {
for(auto j: comps[i]) {
ans += c_n(sz(comps[i]) - 1);
}
}
}
memset(vis, 0, sizeof(vis));
for(int i = 1; i <= n; i++) {
if(vis[comp[i]]) continue;
dfsik(i, 0);
cur_al = sub[i];
dfs1(i, 0);
}
cout << ans + answ << '\n';
}
int main() {
setIO();
auto solve = [&](int test_case)-> void {
for(int i = 1; i <= test_case; i++) {
solve_();
}
};
int test_cases = 1;
// cin >> test_cases;
solve(test_cases);
return 0;
}
Compilation message
count_triplets.cpp: In function 'void solve_()':
count_triplets.cpp:260:16: warning: unused variable 'j' [-Wunused-variable]
260 | for(auto j: comps[i]) {
| ^
count_triplets.cpp: In function 'void setIO(std::string)':
count_triplets.cpp:76:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
76 | freopen("input.txt", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
count_triplets.cpp:77:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
77 | freopen("output.txt", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~
count_triplets.cpp:79:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
79 | freopen((str + ".in").c_str(), "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
count_triplets.cpp:80:12: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
80 | freopen((str + ".out").c_str(), "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
38228 KB |
Output is correct |
2 |
Correct |
18 ms |
38228 KB |
Output is correct |
3 |
Correct |
18 ms |
38300 KB |
Output is correct |
4 |
Correct |
17 ms |
38240 KB |
Output is correct |
5 |
Correct |
18 ms |
38236 KB |
Output is correct |
6 |
Correct |
18 ms |
38228 KB |
Output is correct |
7 |
Correct |
18 ms |
38228 KB |
Output is correct |
8 |
Incorrect |
17 ms |
38228 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
38228 KB |
Output is correct |
2 |
Correct |
18 ms |
38228 KB |
Output is correct |
3 |
Correct |
18 ms |
38300 KB |
Output is correct |
4 |
Correct |
17 ms |
38240 KB |
Output is correct |
5 |
Correct |
18 ms |
38236 KB |
Output is correct |
6 |
Correct |
18 ms |
38228 KB |
Output is correct |
7 |
Correct |
18 ms |
38228 KB |
Output is correct |
8 |
Incorrect |
17 ms |
38228 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
60 ms |
52936 KB |
Output is correct |
2 |
Correct |
61 ms |
52908 KB |
Output is correct |
3 |
Correct |
152 ms |
59920 KB |
Output is correct |
4 |
Correct |
125 ms |
56580 KB |
Output is correct |
5 |
Correct |
129 ms |
54836 KB |
Output is correct |
6 |
Correct |
181 ms |
59968 KB |
Output is correct |
7 |
Correct |
177 ms |
58600 KB |
Output is correct |
8 |
Correct |
180 ms |
59116 KB |
Output is correct |
9 |
Correct |
170 ms |
57464 KB |
Output is correct |
10 |
Correct |
167 ms |
56160 KB |
Output is correct |
11 |
Correct |
125 ms |
53580 KB |
Output is correct |
12 |
Correct |
130 ms |
53540 KB |
Output is correct |
13 |
Correct |
113 ms |
53716 KB |
Output is correct |
14 |
Correct |
124 ms |
53424 KB |
Output is correct |
15 |
Correct |
99 ms |
53516 KB |
Output is correct |
16 |
Correct |
96 ms |
52828 KB |
Output is correct |
17 |
Correct |
29 ms |
44516 KB |
Output is correct |
18 |
Correct |
29 ms |
44516 KB |
Output is correct |
19 |
Correct |
26 ms |
44388 KB |
Output is correct |
20 |
Correct |
25 ms |
44460 KB |
Output is correct |
21 |
Correct |
26 ms |
44244 KB |
Output is correct |
22 |
Correct |
26 ms |
44220 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
19 ms |
38612 KB |
Output is correct |
2 |
Correct |
19 ms |
38560 KB |
Output is correct |
3 |
Correct |
19 ms |
38564 KB |
Output is correct |
4 |
Correct |
19 ms |
38612 KB |
Output is correct |
5 |
Correct |
19 ms |
38616 KB |
Output is correct |
6 |
Correct |
18 ms |
38560 KB |
Output is correct |
7 |
Correct |
20 ms |
38604 KB |
Output is correct |
8 |
Correct |
19 ms |
38636 KB |
Output is correct |
9 |
Correct |
19 ms |
38612 KB |
Output is correct |
10 |
Correct |
19 ms |
38612 KB |
Output is correct |
11 |
Correct |
21 ms |
38508 KB |
Output is correct |
12 |
Correct |
19 ms |
38484 KB |
Output is correct |
13 |
Correct |
19 ms |
38620 KB |
Output is correct |
14 |
Correct |
18 ms |
38596 KB |
Output is correct |
15 |
Correct |
22 ms |
38468 KB |
Output is correct |
16 |
Correct |
19 ms |
38484 KB |
Output is correct |
17 |
Correct |
19 ms |
38612 KB |
Output is correct |
18 |
Correct |
19 ms |
38612 KB |
Output is correct |
19 |
Correct |
19 ms |
38516 KB |
Output is correct |
20 |
Correct |
18 ms |
38612 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
226 ms |
64676 KB |
Output is correct |
2 |
Correct |
232 ms |
64624 KB |
Output is correct |
3 |
Correct |
231 ms |
64588 KB |
Output is correct |
4 |
Correct |
230 ms |
64712 KB |
Output is correct |
5 |
Correct |
230 ms |
64652 KB |
Output is correct |
6 |
Correct |
242 ms |
70996 KB |
Output is correct |
7 |
Correct |
241 ms |
69188 KB |
Output is correct |
8 |
Correct |
250 ms |
67964 KB |
Output is correct |
9 |
Correct |
237 ms |
66756 KB |
Output is correct |
10 |
Correct |
230 ms |
64616 KB |
Output is correct |
11 |
Correct |
242 ms |
64716 KB |
Output is correct |
12 |
Correct |
232 ms |
64592 KB |
Output is correct |
13 |
Correct |
244 ms |
64580 KB |
Output is correct |
14 |
Correct |
218 ms |
63240 KB |
Output is correct |
15 |
Correct |
210 ms |
61624 KB |
Output is correct |
16 |
Correct |
116 ms |
56428 KB |
Output is correct |
17 |
Correct |
163 ms |
65256 KB |
Output is correct |
18 |
Correct |
180 ms |
65244 KB |
Output is correct |
19 |
Correct |
173 ms |
65260 KB |
Output is correct |
20 |
Correct |
179 ms |
65300 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
19 ms |
38612 KB |
Output is correct |
2 |
Correct |
19 ms |
38544 KB |
Output is correct |
3 |
Correct |
19 ms |
38484 KB |
Output is correct |
4 |
Correct |
20 ms |
38484 KB |
Output is correct |
5 |
Correct |
18 ms |
38380 KB |
Output is correct |
6 |
Correct |
19 ms |
38456 KB |
Output is correct |
7 |
Correct |
19 ms |
38420 KB |
Output is correct |
8 |
Correct |
19 ms |
38356 KB |
Output is correct |
9 |
Correct |
19 ms |
38356 KB |
Output is correct |
10 |
Correct |
18 ms |
38388 KB |
Output is correct |
11 |
Correct |
18 ms |
38324 KB |
Output is correct |
12 |
Correct |
19 ms |
38532 KB |
Output is correct |
13 |
Correct |
18 ms |
38484 KB |
Output is correct |
14 |
Correct |
19 ms |
38484 KB |
Output is correct |
15 |
Correct |
19 ms |
38448 KB |
Output is correct |
16 |
Correct |
19 ms |
38484 KB |
Output is correct |
17 |
Correct |
20 ms |
38636 KB |
Output is correct |
18 |
Correct |
19 ms |
38484 KB |
Output is correct |
19 |
Correct |
19 ms |
38432 KB |
Output is correct |
20 |
Correct |
19 ms |
38448 KB |
Output is correct |
21 |
Correct |
20 ms |
38452 KB |
Output is correct |
22 |
Correct |
19 ms |
38560 KB |
Output is correct |
23 |
Correct |
19 ms |
38484 KB |
Output is correct |
24 |
Correct |
25 ms |
38480 KB |
Output is correct |
25 |
Correct |
19 ms |
38444 KB |
Output is correct |
26 |
Correct |
19 ms |
38336 KB |
Output is correct |
27 |
Correct |
19 ms |
38348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
249 ms |
64808 KB |
Output is correct |
2 |
Correct |
239 ms |
64408 KB |
Output is correct |
3 |
Correct |
188 ms |
57908 KB |
Output is correct |
4 |
Correct |
153 ms |
54384 KB |
Output is correct |
5 |
Correct |
120 ms |
50548 KB |
Output is correct |
6 |
Correct |
103 ms |
49136 KB |
Output is correct |
7 |
Correct |
100 ms |
48528 KB |
Output is correct |
8 |
Correct |
88 ms |
47740 KB |
Output is correct |
9 |
Correct |
84 ms |
47344 KB |
Output is correct |
10 |
Correct |
80 ms |
47172 KB |
Output is correct |
11 |
Correct |
89 ms |
46544 KB |
Output is correct |
12 |
Correct |
68 ms |
45980 KB |
Output is correct |
13 |
Correct |
66 ms |
45856 KB |
Output is correct |
14 |
Correct |
60 ms |
46924 KB |
Output is correct |
15 |
Correct |
211 ms |
63840 KB |
Output is correct |
16 |
Correct |
192 ms |
62284 KB |
Output is correct |
17 |
Correct |
192 ms |
59536 KB |
Output is correct |
18 |
Correct |
175 ms |
58476 KB |
Output is correct |
19 |
Correct |
152 ms |
54448 KB |
Output is correct |
20 |
Correct |
148 ms |
54408 KB |
Output is correct |
21 |
Correct |
154 ms |
54328 KB |
Output is correct |
22 |
Correct |
128 ms |
52768 KB |
Output is correct |
23 |
Correct |
111 ms |
50892 KB |
Output is correct |
24 |
Correct |
178 ms |
59540 KB |
Output is correct |
25 |
Correct |
179 ms |
59688 KB |
Output is correct |
26 |
Correct |
156 ms |
56272 KB |
Output is correct |
27 |
Correct |
161 ms |
56328 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
38228 KB |
Output is correct |
2 |
Correct |
18 ms |
38228 KB |
Output is correct |
3 |
Correct |
18 ms |
38300 KB |
Output is correct |
4 |
Correct |
17 ms |
38240 KB |
Output is correct |
5 |
Correct |
18 ms |
38236 KB |
Output is correct |
6 |
Correct |
18 ms |
38228 KB |
Output is correct |
7 |
Correct |
18 ms |
38228 KB |
Output is correct |
8 |
Incorrect |
17 ms |
38228 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
18 ms |
38228 KB |
Output is correct |
2 |
Correct |
18 ms |
38228 KB |
Output is correct |
3 |
Correct |
18 ms |
38300 KB |
Output is correct |
4 |
Correct |
17 ms |
38240 KB |
Output is correct |
5 |
Correct |
18 ms |
38236 KB |
Output is correct |
6 |
Correct |
18 ms |
38228 KB |
Output is correct |
7 |
Correct |
18 ms |
38228 KB |
Output is correct |
8 |
Incorrect |
17 ms |
38228 KB |
Output isn't correct |
9 |
Halted |
0 ms |
0 KB |
- |