#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;
typedef pair<int,int> pi;
typedef pair<ll,ll> pl;
typedef pair<db,db> pd;
typedef vector<int> vi;
typedef vector<ll> vl;
typedef vector<db> vd;
typedef vector<str> vs;
typedef vector<pi> vpi;
typedef vector<pl> vpl;
typedef vector<pd> vpd;
#define mp make_pair
#define f first
#define s second
#define sz(x) (int)x.size()
#define all(x) begin(x), end(x)
#define rall(x) (x).rbegin(), (x).rend()
#define rsz resize
#define ins insert
#define ft front()
#define bk back()
#define pf push_front
#define pb push_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define FOR(i,a,b) for (int i = (a); i < (b); ++i)
#define F0R(i,a) FOR(i,0,a)
#define ROF(i,a,b) for (int i = (b)-1; i >= (a); --i)
#define R0F(i,a) ROF(i,0,a)
#define trav(a,x) for (auto& a: x)
const int MOD = 1e9+7; // 998244353;
const int MX = 2e5+5;
const ll INF = 1e18;
const ld PI = acos((ld)-1);
const int xd[4] = {1,0,-1,0}, yd[4] = {0,1,0,-1};
mt19937 rng((uint32_t)chrono::steady_clock::now().time_since_epoch().count());
template<class T> bool ckmin(T& a, const T& b) {
return b < a ? a = b, 1 : 0; }
template<class T> bool ckmax(T& a, const T& b) {
return a < b ? a = b, 1 : 0; }
int pct(int x) { return __builtin_popcount(x); }
int bits(int x) { return 31-__builtin_clz(x); } // floor(log2(x))
int cdiv(int a, int b) { return a/b+!(a<0||a%b == 0); } // division of a by b rounded up, assumes b > 0
int fstTrue(function<bool(int)> f, int lo, int hi) {
hi ++; assert(lo <= hi); // assuming f is increasing
while (lo < hi) { // find first index such that f is true
int mid = (lo+hi)/2;
f(mid) ? hi = mid : lo = mid+1;
}
return lo;
}
// INPUT
template<class A> void re(complex<A>& c);
template<class A, class B> void re(pair<A,B>& p);
template<class A> void re(vector<A>& v);
template<class A, size_t SZ> void re(array<A,SZ>& a);
template<class T> void re(T& x) { cin >> x; }
void re(db& d) { str t; re(t); d = stod(t); }
void re(ld& d) { str t; re(t); d = stold(t); }
template<class H, class... T> void re(H& h, T&... t) { re(h); re(t...); }
template<class A> void re(complex<A>& c) { A a,b; re(a,b); c = {a,b}; }
template<class A, class B> void re(pair<A,B>& p) { re(p.f,p.s); }
template<class A> void re(vector<A>& x) { trav(a,x) re(a); }
template<class A, size_t SZ> void re(array<A,SZ>& x) { trav(a,x) re(a); }
// TO_STRING
#define ts to_string
str ts(char c) { return str(1,c); }
str ts(bool b) { return b ? "true" : "false"; }
str ts(const char* s) { return (str)s; }
str ts(str s) { return s; }
template<class A> str ts(complex<A> c) {
stringstream ss; ss << c; return ss.str(); }
str ts(vector<bool> v) {
str res = "{"; F0R(i,sz(v)) res += char('0'+v[i]);
res += "}"; return res; }
template<size_t SZ> str ts(bitset<SZ> b) {
str res = ""; F0R(i,SZ) res += char('0'+b[i]);
return res; }
template<class A, class B> str ts(pair<A,B> p);
template<class T> str ts(T v) { // containers with begin(), end()
bool fst = 1; str res = "{";
for (const auto& x: v) {
if (!fst) res += ", ";
fst = 0; res += ts(x);
}
res += "}"; return res;
}
template<class A, class B> str ts(pair<A,B> p) {
return "("+ts(p.f)+", "+ts(p.s)+")"; }
// OUTPUT
template<class A> void pr(A x) { cout << ts(x); }
template<class H, class... T> void pr(const H& h, const T&... t) {
pr(h); pr(t...); }
void ps() { pr("\n"); } // print w/ spaces
template<class H, class... T> void ps(const H& h, const T&... t) {
pr(h); if (sizeof...(t)) pr(" "); ps(t...); }
// DEBUG
void DBG() { cerr << "]" << endl; }
template<class H, class... T> void DBG(H h, T... t) {
cerr << ts(h); if (sizeof...(t)) cerr << ", ";
DBG(t...); }
#ifdef LOCAL // compile with -DLOCAL
#define dbg(...) cerr << "LINE(" << __LINE__ << ") -> [" << #__VA_ARGS__ << "]: [", DBG(__VA_ARGS__)
#else
#define dbg(...) 0
#endif
// FILE I/O
void setIn(string s) { freopen(s.c_str(),"r",stdin); }
void setOut(string s) { freopen(s.c_str(),"w",stdout); }
void unsyncIO() { ios_base::sync_with_stdio(0); cin.tie(0); }
void setIO(string s = "") {
unsyncIO();
// cin.exceptions(cin.failbit);
// throws exception when do smth illegal
// ex. try to read letter into int
if (sz(s)) { setIn(s+".in"), setOut(s+".out"); } // for USACO
}
const int mx = 100005;
int n, m;
vi oadj[mx];
bool ovisited[mx];
vi olist;
void ogenList(int node){
if(ovisited[node]) return;
ovisited[node] = 1;
olist.pb(node);
for(auto u: oadj[node]){
ogenList(u);
}
}
vi adj[mx];
int sub[mx];
void genSubs(int node, int prv = -1){
sub[node] = 1;
for(auto u: adj[node]){
if(u == prv) continue;
genSubs(u, node);
sub[node]+=sub[u];
}
}
ll treeSolve(int N){
genSubs(1);
ll ans = 0;
for(int i = 1; i <= N; i++){
ans+=ll(N-1)*ll(N-1);
for(auto u: adj[i]){
if(sub[u] > sub[i]){
ans-=(ll(N)-ll(sub[i]))*(ll(N)-ll(sub[i]));
}
else{
ans-=ll(sub[u])*ll(sub[u]);
}
}
}
return ans;
}
ll cycSolve(int N){
return ll(N)*ll(N-1)*ll(N-2);
}
ll hardSolve(int N){ //CHANGE THIS! Do Cactus case as well
return treeSolve(N);
}
ll solve(int N){
bool isTree = 1;
bool isCyc = 1;
int tot = 0;
for(int i = 1; i <= N; i++){
tot+=sz(adj[i]);
if(sz(adj[i]) > 2) isCyc = 0;
}
if(tot/2 != N-1){
isTree = 0;
}
if(isTree){
return treeSolve(N);
}
else if(isCyc){
return cycSolve(N);
}
return hardSolve(N);
}
int main() {
setIO();
cin >> n >> m;
for(int i = 1; i <= m; i++){
int u, v;
cin >> u >> v;
oadj[u].pb(v);
oadj[v].pb(u);
}
ll ans = 0;
for(int i = 1; i <= n; i++){
if(ovisited[i]) continue;
olist.clear();
ogenList(i);
map<int, int> m;
for(int i = 0; i < sz(olist); i++){
m[olist[i]] = i+1;
}
int N = sz(olist);
for(int i = 1; i <= N; i++){
adj[i].clear();
}
for(auto u: olist){
for(auto x: oadj[u]){
adj[m[u]].pb(m[x]);
}
}
ans+=solve(N);
}
ps(ans);
// you should actually read the stuff at the bottom
}
/* stuff you should look for
* int overflow, array bounds
* special cases (n=1?)
* do smth instead of nothing and stay organized
* WRITE STUFF DOWN
*/
Compilation message
count_triplets.cpp: In function 'void setIn(std::__cxx11::string)':
count_triplets.cpp:128:31: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
void setIn(string s) { freopen(s.c_str(),"r",stdin); }
~~~~~~~^~~~~~~~~~~~~~~~~~~~~
count_triplets.cpp: In function 'void setOut(std::__cxx11::string)':
count_triplets.cpp:129:32: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
void setOut(string s) { freopen(s.c_str(),"w",stdout); }
~~~~~~~^~~~~~~~~~~~~~~~~~~~~~
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
706 ms |
1048580 KB |
Execution killed with signal 9 (could be triggered by violating memory limits) |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
706 ms |
1048580 KB |
Execution killed with signal 9 (could be triggered by violating memory limits) |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
233 ms |
22332 KB |
Output is correct |
2 |
Correct |
199 ms |
22472 KB |
Output is correct |
3 |
Correct |
193 ms |
16500 KB |
Output is correct |
4 |
Correct |
169 ms |
19560 KB |
Output is correct |
5 |
Correct |
199 ms |
14068 KB |
Output is correct |
6 |
Correct |
165 ms |
16376 KB |
Output is correct |
7 |
Correct |
148 ms |
12408 KB |
Output is correct |
8 |
Correct |
151 ms |
14076 KB |
Output is correct |
9 |
Correct |
136 ms |
11128 KB |
Output is correct |
10 |
Correct |
147 ms |
12028 KB |
Output is correct |
11 |
Correct |
60 ms |
9336 KB |
Output is correct |
12 |
Correct |
60 ms |
9208 KB |
Output is correct |
13 |
Correct |
53 ms |
9080 KB |
Output is correct |
14 |
Correct |
53 ms |
8952 KB |
Output is correct |
15 |
Correct |
44 ms |
8440 KB |
Output is correct |
16 |
Correct |
41 ms |
8320 KB |
Output is correct |
17 |
Correct |
10 ms |
5120 KB |
Output is correct |
18 |
Correct |
11 ms |
4992 KB |
Output is correct |
19 |
Correct |
10 ms |
5120 KB |
Output is correct |
20 |
Correct |
10 ms |
5120 KB |
Output is correct |
21 |
Correct |
10 ms |
5120 KB |
Output is correct |
22 |
Correct |
10 ms |
5120 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
5120 KB |
Output is correct |
2 |
Correct |
4 ms |
5120 KB |
Output is correct |
3 |
Correct |
5 ms |
5120 KB |
Output is correct |
4 |
Correct |
4 ms |
5376 KB |
Output is correct |
5 |
Correct |
4 ms |
5248 KB |
Output is correct |
6 |
Correct |
4 ms |
5248 KB |
Output is correct |
7 |
Correct |
4 ms |
5248 KB |
Output is correct |
8 |
Correct |
4 ms |
5248 KB |
Output is correct |
9 |
Correct |
4 ms |
5120 KB |
Output is correct |
10 |
Correct |
4 ms |
5120 KB |
Output is correct |
11 |
Correct |
4 ms |
5120 KB |
Output is correct |
12 |
Correct |
4 ms |
5120 KB |
Output is correct |
13 |
Correct |
4 ms |
5120 KB |
Output is correct |
14 |
Correct |
4 ms |
5120 KB |
Output is correct |
15 |
Correct |
4 ms |
5120 KB |
Output is correct |
16 |
Correct |
3 ms |
5120 KB |
Output is correct |
17 |
Correct |
4 ms |
5120 KB |
Output is correct |
18 |
Correct |
4 ms |
5120 KB |
Output is correct |
19 |
Correct |
4 ms |
5120 KB |
Output is correct |
20 |
Correct |
4 ms |
5120 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
182 ms |
18288 KB |
Output is correct |
2 |
Correct |
196 ms |
18288 KB |
Output is correct |
3 |
Correct |
180 ms |
18288 KB |
Output is correct |
4 |
Correct |
215 ms |
18288 KB |
Output is correct |
5 |
Correct |
219 ms |
18416 KB |
Output is correct |
6 |
Correct |
238 ms |
21484 KB |
Output is correct |
7 |
Correct |
192 ms |
20332 KB |
Output is correct |
8 |
Correct |
190 ms |
19780 KB |
Output is correct |
9 |
Correct |
191 ms |
19184 KB |
Output is correct |
10 |
Correct |
167 ms |
14468 KB |
Output is correct |
11 |
Correct |
177 ms |
17236 KB |
Output is correct |
12 |
Correct |
155 ms |
12280 KB |
Output is correct |
13 |
Correct |
140 ms |
11896 KB |
Output is correct |
14 |
Correct |
99 ms |
9464 KB |
Output is correct |
15 |
Correct |
74 ms |
9176 KB |
Output is correct |
16 |
Correct |
41 ms |
8064 KB |
Output is correct |
17 |
Correct |
142 ms |
18836 KB |
Output is correct |
18 |
Correct |
151 ms |
18796 KB |
Output is correct |
19 |
Correct |
152 ms |
18788 KB |
Output is correct |
20 |
Correct |
147 ms |
18804 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
4 ms |
5120 KB |
Output is correct |
2 |
Correct |
4 ms |
5120 KB |
Output is correct |
3 |
Runtime error |
682 ms |
1048580 KB |
Execution killed with signal 9 (could be triggered by violating memory limits) |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
182 ms |
17136 KB |
Output is correct |
2 |
Correct |
191 ms |
17140 KB |
Output is correct |
3 |
Runtime error |
936 ms |
1048580 KB |
Execution killed with signal 9 (could be triggered by violating memory limits) |
4 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
706 ms |
1048580 KB |
Execution killed with signal 9 (could be triggered by violating memory limits) |
2 |
Halted |
0 ms |
0 KB |
- |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Runtime error |
706 ms |
1048580 KB |
Execution killed with signal 9 (could be triggered by violating memory limits) |
2 |
Halted |
0 ms |
0 KB |
- |