#undef _GLIBCXX_DEBUG // disable run-time bound checking, etc
#pragma GCC optimize("Ofast,inline") // Ofast = O3,fast-math,allow-store-data-races,no-protect-parens
#pragma GCC optimize ("unroll-loops")
#pragma GCC target("bmi,bmi2,lzcnt,popcnt") // bit manipulation
#pragma GCC target("movbe") // byte swap
#pragma GCC target("aes,pclmul,rdrnd") // encryption
#pragma GCC target("avx,avx2,f16c,fma,sse3,ssse3,sse4.1,sse4.2") // SIMD
#include <bits/stdc++.h>
#include <bits/extc++.h>
using namespace std;
#define enablell 0
typedef long long ll;
typedef unsigned long long ull;
#if enablell
#define int ll
#define inf int(1e18)
#define float double
#else
const int inf = int(2e9);
#endif
typedef vector<ull> vull;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<vvi> vvvi;
typedef vector<vvvi> vvvvi;
typedef vector<bool> vb;
typedef vector<vb> vvb;
typedef vector<vvb> vvvb;
typedef pair<int, int> p2;
typedef vector<p2> vp2;
typedef vector<vp2> vvp2;
typedef vector<vvp2> vvvp2;
typedef tuple<int, int, int> p3;
typedef vector<p3> vp3;
typedef vector<vp3> vvp3;
typedef vector<vvp3> vvvp3;
typedef tuple<int, int, int, int> p4;
typedef vector<p4> vp4;
#define PBDS 1
#define _LOCAL _MSC_VER > 0
#if _LOCAL
#define gc() getchar()
#define popcount(x) __popcnt(x)
#define leading_zeros(x) _lzcnt_u32(x)
uint32_t clz(uint32_t x) { return _lzcnt_u32(x); }
uint32_t ctz(uint32_t x) { return _tzcnt_u32(x); }
#define bswap64(x) _byteswap_uint64(x)
#define assert(x) debassert(x)
#else
#define popcount(x) __builtin_popcount(x)
uint32_t clz(uint32_t x) { return __builtin_clz(x); }
uint32_t ctz(uint32_t x) { return __builtin_ctzll(x); }
#define bswap64(x) __builtin_bswap64(x)
#define gc() getchar_unlocked()
#if PBDS
using namespace __gnu_pbds;
// lower_bound is now upper_bound and vice versa (multiset). generally a bit broken
template<typename T> using indexed_multiset = tree<int, null_type, less_equal<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T> using indexed_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
struct chash { // large odd number for C
const uint64_t C = ll(4e18 * acos(0)) | 71;
ll operator()(ll x) const { return __builtin_bswap64(x * C); }
};
template<typename T, typename U> using fast_map = __gnu_pbds::gp_hash_table<T, U, chash>;
template<typename T> using fast_set = __gnu_pbds::gp_hash_table<T, null_type, chash>;
template<typename T, typename H> using fast_set_h = __gnu_pbds::gp_hash_table<T, null_type, H>;
#endif
#endif
#define FAST_INPUT 0
#define FILE_TC 0
#if FILE_TC && _LOCAL
//ifstream filein("E:\\desktop\\code\\repos\\Comp prog\\x64\\Debug\\in.txt");
ifstream filein("C:\\users\\matis\\source\\repos\\comp_prog\\x64\\Release\\in.txt");
//ifstream filein("E:\\downloads\\test_data\\test_data\\005-case05.in");
//ifstream filein("E:\\desktop\\po-repos\\swedish-olympiad-2023\\online\\tomtplanering\\data\\secret\\group10\\010-case10.in");
#define cin filein
void fast() {}
#else
inline void fast() { ios::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); }
#endif
#if FAST_INPUT && (!FILE_TC || !_LOCAL)
inline void read(int& v) { v = 0; int sign = 1; char c = gc(); if (c == '-') { sign = -1; } else { v += c - '0'; } while ((c = gc()) && c != ' ' && c != '\n') { if (c == EOF) { v = -1; return; } v *= 10; v += c - '0'; } v *= sign; }
inline void read(int& u, int& v) { read(u); read(v); }
inline void read(int& u, int& v, int& k) { read(u); read(v); read(k); }
//inline void read(int& v) { char c; while ((c = getchar()) != EOF && c != ' ' && c != '\n') { v *= 10; v += c - '0'; } }
inline void read(string& s) { char c; while ((c = gc()) != EOF && c != '\n' && c != ' ') { s.push_back(c); } }
inline void readline(string& s) { char c; while ((c = gc()) != EOF && c != '\n') { s.push_back(c); } }
#else
template <typename T> inline void read(T& a) { cin >> a; }
template <typename T> inline void read(T& a, T& b) { cin >> a >> b; }
template <typename T> inline void read(T& a, T& b, T& c) { cin >> a >> b >> c; }
#endif
#define quit cout << endl; _Exit(0);
#define dread(type, a) type a; read(a)
#define dread2(type, a, b) dread(type, a); dread(type, b)
#define dread3(type, a, b, c) dread2(type, a, b); dread(type, c)
#define dread4(type, a, b, c, d) dread3(type, a, b, c); dread(type, d)
#define dread5(type, a, b, c, d, e) dread4(type, a, b, c, d); dread(type, e)
#define readvector(type, name, size) vector<type> name(size); rep(i,size) {dread(type,temp); name[i]=temp;}
#ifdef _DEBUG
#define noop cout << "";
#define deb __debugbreak();
#define debassert(expr) if(!(expr)) deb;
#define debif(expr) if(expr) deb;
#else
#define noop ;
#define deb ;
#define debif(expr) ;
#define debassert(expr) ;
#endif
#define rep(i, high) for (int i = 0; i < high; i++)
#define repp(i, low, high) for (int i = low; i < high; i++)
#define repe(i, container) for (auto& i : container)
#define per(i, high) for (int i = high-1; i >= 0; i--)
#define perr(i, low, high) for (int i = high-1; i >= low; i--)
#define all(a) a.begin(),a.end()
#define rall(a) a.rbegin(),a.rend()
#define setcontains(set, x) (set.find(x) != set.end())
#define within(a, b, c, d) (a >= 0 && a < b && c >= 0 && c < d)
#define sz(container) ((int)container.size())
#define mp(a,b) (make_pair(a,b))
#define ceildiv(x,y) ((x + y - 1) / y)
template <typename T, typename U> inline void operator+=(pair<T, U>& l, const pair<T, U>& r) { l = { l.first + r.first,l.second + r.second }; }
template <typename T, typename U> inline pair<T, U> operator+(const pair<T, U> l, const pair<T, U> r) { return { l.first + r.first, l.second + r.second }; }
template <typename T, typename U> inline pair<T, U> operator-(const pair<T, U> l, const pair<T, U> r) { return { l.first - r.first, l.second - r.second }; }
template <typename T, typename U> inline pair<T, U> operator*(const pair<T, U> l, const int m) { return { l.first * m, l.second * m }; }
template <typename Out> inline void split(const string& s, char delim, Out result) { istringstream iss(s); string item; while (getline(iss, item, delim)) { *result++ = item; } }
inline vector<string> split(const string& s, char delim) { vector<string> elems; split(s, delim, back_inserter(elems)); return elems; }
vector<string> split(string s, string d) { size_t k = 0, n, e = d.length(); string t; vector<string> r; while ((n = s.find(d, k)) != string::npos) { t = s.substr(k, n - k); k = n + e; r.push_back(t); } r.push_back(s.substr(k)); return r; }
ll binpow(ll a, ll b) { ll res = 1; while (b > 0) { if (b & 1) res = res * a; a = a * a; b >>= 1; } return res; }
ll binpow(ll a, ll b, ll m) { a %= m; long long res = 1; while (b > 0) { if (b & 1) res = res * a % m; a = a * a % m; b >>= 1; } return res; } // For a < 2^31
#if 1
auto Start = chrono::high_resolution_clock::now();
void resettimer() { Start = chrono::high_resolution_clock::now(); }
int elapsedmillis() { return chrono::duration_cast<chrono::milliseconds>(chrono::high_resolution_clock::now() - Start).count(); }
random_device rd;
mt19937 rng(rd());
template<typename T, typename U> inline int randint(T lo, U hi) { return uniform_int_distribution<int>((int)lo, (int)hi)(rng); } // [lo,hi]
template<typename T> inline T randel(vector<T>& v) { return v[uniform_int_distribution<int>(int(0), int(v.size()) - int(1))(rng)]; } // [lo,hi]
#endif
const ll mod = 1e9 + 7;
vp2 dirs = { {0,1},{0,-1},{1,0},{-1,0}, {0,0} };
struct UF
{
int n;
vi par;
vi size;
vi deg;
set<int> deg3;
set<int> deg4;
int cyclecomp=-1;
vi incycle;
int cyclecnt = 0;
vector<set<int>> edges;
UF(int n) : n(n), par(n),size(n,1),deg(n,0),incycle(n),edges(n)
{
rep(i, n) par[i] = i;
}
int find(int x) { return x == par[x] ? x : par[x] = find(par[x]); }
bool mark(int x, int y, vi& vis)
{
if (vis[x]) return 0;
vis[x] = 1;
if (x == y)
{
incycle[y] = 1;
return 1;
}
repe(e, edges[x])
{
if (mark(e,y,vis))
{
incycle[x] = 1;
return 1;
}
}
}
void incdeg(int a)
{
if (deg[a]==3)
{
deg3.erase(a);
}
deg[a]++;
if (deg[a]==3)
{
deg3.insert(a);
}
else if (deg[a]>3)
{
deg4.insert(a);
}
}
void merge(int a, int b)
{
incdeg(a);
incdeg(b);
edges[a].insert(b);
edges[b].insert(a);
if (find(a)==find(b)) // cycle
{
if (cyclecomp == -1)
{
vi vis(n);
mark(a, b,vis);
rep(i, n) cyclecnt += incycle[i];
}
else if (find(a) == find(cyclecomp)) return;
else cyclecomp = inf;
}
else
{
int ap = find(a); int bp = find(b);
if (size[ap] < size[bp]) swap(ap, bp);
par[bp] = ap;
size[ap] += size[bp];
}
}
int count()
{
if (cyclecomp==inf)
{
return 0;
}
if (deg4.size()>1)
{
return 0;
}
if (deg4.size()==1)
{
bool works = 1;
int u = *begin(deg4);
repe(v, deg3)
{
works &= setcontains(edges[u], v);
}
return works;
}
if (deg3.size()>4)
{
return 0;
}
if (deg3.size()>1)
{
int ans = 0;
repe(u, deg3)
{
int numdeg3 = 0;
repe(e, edges[u])
{
numdeg3 += setcontains(deg3, e);
}
if (numdeg3 == deg3.size() - 1)
{
ans++;
}
}
return ans;
}
if (deg3.size()==1)
{
int ret = 1;
int u = *begin(deg3);
repe(e, edges[u])
{
if (incycle[e])
{
ret += 2;
break;
}
}
if (ret==1)
{
ret += edges[u].size();
}
return ret;
}
if (cyclecnt)
{
return cyclecnt;
}
return n;
}
};
UF uf = UF(0);
void Init(int n)
{
uf = UF(n);
}
void Link(int a, int b)
{
uf.merge(a, b);
}
int CountCritical()
{
cerr << uf.count() << "\n";
return uf.count();
}
#if _LOCAL
int32_t main()
{
fast();
Init(7);
CountCritical();
Link(1, 2);
CountCritical();
Link(0, 5);
CountCritical();
Link(2, 0);
CountCritical();
Link(3, 2);
CountCritical();
Link(3, 5);
CountCritical();
Link(4, 3);
CountCritical();
quit;
}
#endif
Compilation message
rings.cpp: In member function 'int UF::count()':
rings.cpp:280:29: warning: comparison of integer expressions of different signedness: 'int' and 'std::set<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
280 | if (numdeg3 == deg3.size() - 1)
| ~~~~~~~~^~~~~~~~~~~~~~~~~~
rings.cpp: In member function 'bool UF::mark(int, int, vi&)':
rings.cpp:198:5: warning: control reaches end of non-void function [-Wreturn-type]
198 | }
| ^
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
3 ms |
996 KB |
Output is correct |
| 3 |
Correct |
3 ms |
1108 KB |
Output is correct |
| 4 |
Correct |
1 ms |
468 KB |
Output is correct |
| 5 |
Incorrect |
2 ms |
852 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
472 ms |
88448 KB |
Output is correct |
| 2 |
Correct |
1030 ms |
136064 KB |
Output is correct |
| 3 |
Execution timed out |
4030 ms |
118280 KB |
Time limit exceeded |
| 4 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
3 ms |
996 KB |
Output is correct |
| 3 |
Correct |
3 ms |
1108 KB |
Output is correct |
| 4 |
Correct |
1 ms |
468 KB |
Output is correct |
| 5 |
Incorrect |
2 ms |
852 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
3 ms |
996 KB |
Output is correct |
| 3 |
Correct |
3 ms |
1108 KB |
Output is correct |
| 4 |
Correct |
1 ms |
468 KB |
Output is correct |
| 5 |
Incorrect |
2 ms |
852 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Correct |
1 ms |
340 KB |
Output is correct |
| 2 |
Correct |
3 ms |
996 KB |
Output is correct |
| 3 |
Correct |
3 ms |
1108 KB |
Output is correct |
| 4 |
Correct |
1 ms |
468 KB |
Output is correct |
| 5 |
Incorrect |
2 ms |
852 KB |
Output isn't correct |
| 6 |
Halted |
0 ms |
0 KB |
- |
