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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#526977#1957. Friendship Graphssroid_03#TL 78ms11924kbC++2012.6kb2024-08-22 04:16:002024-08-22 04:16:02

Judging History

你现在查看的是最新测评结果

  • [2024-08-22 04:16:02]
  • 评测
  • 测评结果:TL
  • 用时:78ms
  • 内存:11924kb
  • [2024-08-22 04:16:00]
  • 提交

answer


#pragma GCC optimize("O1")
#pragma GCC optimize("O2")
#pragma GCC optimize("Ofast")
#pragma GCC optimize("O3,unroll-loops")
#include <bits/stdc++.h>
using namespace std;

#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
using namespace __gnu_cxx;
template<class T>using ind_set = tree<T,null_type,less<T>,rb_tree_tag,tree_order_statistics_node_update>;
template<class T>using ind_mset = tree<T,null_type,less_equal<T>,rb_tree_tag,tree_order_statistics_node_update>;

typedef unsigned long long ull;
typedef long double ld;
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
typedef vector<vi> vii;
typedef vector<pii> vpii;
typedef pair<ll, ll> pll;
typedef vector<ll> vl;
typedef vector<pll> vpll;
typedef vector<vl> vll;
template<class T> using maxpq = priority_queue<T>;
template<class T> using minpq = priority_queue<T, vector<T>, greater<T>>;
template<class T> using vec1 = vector<T>;
template<class T> using vec2 = vector<vector<T>>;
template<class T> using vec3 = vector<vector<vector<T>>>;

#define FOR(i, a, b) for (ll i = (a); i < (b); i++)
#define REP(i,b,a)  for(ll i =((b)-1);i>=(a);i--)
#define mem(a,x)   memset(a,x,sizeof(a))
#define pb push_back
#define pf push_front
#define ff first
#define ss second
#define sz(x) ((int)(x).size())
#define all(v) v.begin(), v.end()
#define rall(v) (v).rbegin(),(v).rend()
#define eb emplace_back
#define mp make_pair
#define mt make_tuple
#define fbo(a) find_by_order(a) //will give a-th largest element
#define ook(a) order_of_key(a) //will give no. of elements strictly lesser than a
#define sz(x) ((int)(x).size())
#define nzl(x) __builtin_clzll(x)
#define nzr(x) __builtin_ctzll(x)
#define setbits(x) __builtin_popcountll(x)
#define setbitsParity(x) __builtin_parityll(x) // 1 -> odd else 0 if even
#define umap unordered_map
#define uset unordered_set
#define nl "\n"
#define PI atan(1)*4
#define E 2.71828
#define yes {cout << "Yes" << endl; return;}
#define no {cout << "No" << endl; return;}
#define YES {cout << "Yes" << endl;}
#define NO {cout << "No" << endl;}
#define nyet {cout<<"-1"<<endl;return;}
#define mxe(v)  (*max_element(v.begin(),v.end()))
#define mne(v)  (*min_element(v.begin(),v.end()))
#define unq(v)  v.resize(distance(v.begin(), unique(v.begin(), v.end())));
#define ub upper_bound
#define lb lower_bound
#define LB(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define UB(c, x) distance((c).begin(), upper_bound(all(c), (x)))
#define UNIQUE(x) \
  sort(all(x)), x.erase(unique(all(x)), x.end()), x.shrink_to_fit()
#define outt(a) \
	  FOR(i,1,sz(a))            \
	  cout << a[i] << " "; \
	  cout << endl;
#define inn(a) \
	  FOR(i,1,sz(a))            \
	  cin>>a[i];
#define FAST_AF_BOI                \
	ios_base ::sync_with_stdio(0); \
	cin.tie(0);               \
	cout.tie(0);

struct custom_hash {
  static uint64_t splitmix64(uint64_t x) {
	  x += 0x9e3779b97f4a7c15;//abk
	  x = (x ^ (x >> 30)) * 0xbf58476d1ce4e5b9;
	  x = (x ^ (x >> 27)) * 0x94d049bb133111eb;
	  return x ^ (x >> 31);
  }
  size_t operator()(uint64_t x) const {
	  static const uint64_t FIXED_RANDOM = chrono::steady_clock::now().time_since_epoch().count();
	  return splitmix64(x + FIXED_RANDOM);
  }
};
typedef gp_hash_table<long long,long long,custom_hash> fast_map;
typedef unordered_map<long long,long long,custom_hash> safe_map;

// ================================== i/o module ==================================
template <class T> void _print(T x){cerr<<x;};
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(pair <T, V> p) {cerr << "{"; _print(p.ff); cerr << ","; _print(p.ss); 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, class V> void _print(map <T, V> v) {cerr << "[ "; for (auto i : v) {_print(i); cerr << " ";} cerr << "]";}
template<class T>void read(T &x){x=0;int f=0;char ch=getchar();while(ch<'0' || ch>'9')f|=(ch=='-'),ch=getchar();while(ch>='0' && ch<='9')x=(x<<3)+(x<<1)+(ch^48),ch=getchar();x=f? -x:x;return ;}
template<typename typC,typename typD> istream &operator>>(istream &cin,pair<typC,typD> &a) { return cin>>a.first>>a.second; }
template<typename typC> istream &operator>>(istream &cin,vector<typC> &a) { for (auto &x:a) cin>>x; return cin; }
template<typename typC,typename typD> ostream &operator<<(ostream &cout,const pair<typC,typD> &a) { return cout<<a.first<<' '<<a.second; }
template<typename typC,typename typD> ostream &operator<<(ostream &cout,const vector<pair<typC,typD>> &a) { for (auto &x:a) cout<<x<<'\n'; return cout; }
template<typename typC> ostream &operator<<(ostream &cout,const vector<typC> &a) { int n=a.size(); if (!n) return cout; cout<<a[0]; for (int i=1; i<n; i++) cout<<' '<<a[i]; return cout; }
template <class T> inline vector<T>& operator--(vector<T>& v) { for(auto &x:v) --x; return v; }
template <class T> inline vector<T>& operator++(vector<T>& v) { for(auto &x:v) ++x; return v; }
template <class T> inline vector<T>& operator^=(vector<T>& v,int y) { for(auto &x:v) x^=y; return v; }
inline string& operator^=(string& s,int y) { for(auto &x:s)x=((x-'0')^y)+'0' ; return s; }

void dgb_out () { cerr << endl; }
template < typename Head, typename... Tail >
void dgb_out ( Head H, Tail... T) { cerr <<' ' << H; dgb_out (T...); }
#ifndef ONLINE_JUDGE
#define dbg(...) cerr << "(" << #__VA_ARGS__ << "):", dgb_out(__VA_ARGS__) 
#else
#define dbg(...)
#endif

// ================================================================================

//`````````````````````````````````````````````IMP FUNCTIONS``````````````````````````````````````````````````````
ll ceil(ll a,ll b){return (a+b-1)/b;}
int log_2(ull i){return i?nzl(1)-nzl(i):-1;}
ll gcd(ll a, ll b) {if (b > a) {return gcd(b, a);} if (b == 0) {return a;} return gcd(b, a % b);}
ll bin_expo(ll a, ll b, ll mod) {ll res = 1;a%=mod;if(a==0)return 0;while (b > 0) {if (b & 1)res = (res * a) % mod; a = (a * a) % mod; b = b >> 1;} return res;}
ll bin_mul(ll a, ll b, ll mod) {ll res = 0; while (b > 0) {if (b & 1)res = (res + a) % mod; a = (a + a) % mod; b = b >> 1;} return res;}
void extendgcd(ll a, ll b, ll*v) {if (b == 0) {v[0] = 1; v[1] = 0; v[2] = a; return ;} extendgcd(b, a % b, v); ll x = v[1]; v[1] = v[0] - v[1] * (a / b); v[0] = x; return;} //pass an arry of size1 3
ll mminv(ll a, ll b) {ll arr[3]; extendgcd(a, b, arr); return arr[0];} //for non prime b
ll mminvprime(ll a, ll b) {return bin_expo(a, b - 2, b);}
ll ncr(ll n, ll r, ll m, ll *fact, ll *ifact) {if(n<r)return 0;ll val1 = fact[n]; ll val2 = ifact[n - r]; ll val3 = ifact[r];if(n < r) return 0;if(n == r || r == 0) return 1;if(r<0) return 0; return (((val1 * val2) % m) * val3) % m;}
void google(int t) {cout << "Case #" << t << ": ";}
vl sieve(int n) {int*arr = new int[n + 1](); vl vect; for (int i = 2; i <= n; i++)if (arr[i] == 0) {vect.push_back(i); for (int j = 2 * i; j <= n; j += i)arr[j] = 1;} return vect;}
ll mod_add(ll a, ll b, ll m) {a = a % m; b = b % m; return (((a + b) % m) + m) % m;}
ll mod_mul(ll a, ll b, ll m) {a = a % m; b = b % m; return (((a * b) % m) + m) % m;}
ll mod_sub(ll a, ll b, ll m) {a = a % m; b = b % m; return (((a - b) % m) + m) % m;}
ll mod_div(ll a, ll b, ll m) {a = a % m; b = b % m; return (mod_mul(a, mminvprime(b, m), m) + m) % m;}  //only for prime m
ll phin(ll n) {ll number = n; if (n % 2 == 0) {number /= 2; while (n % 2 == 0) n /= 2;} for (ll i = 3; i*i <= n; i += 2) {if (n % i == 0) {while (n % i == 0)n /= i; number = (number / i * (i - 1));}} if (n > 1)number = (number / n * (n - 1)) ; return number;} //O(sqrt(N))
ll large_expo(ll a,ll b,ll c,ll m) {return bin_expo(a,bin_expo(b,c,phin(m)),m);} //(a^b^c)%M 
ll large_expo_prime(ll a,ll b,ll c,ll m) {return bin_expo(a,bin_expo(b,c,m-1),m);} //(a^b^c)%M when m is prime
template<class T>vector<T> prefixSum(vector<T> v, bool flag){vector<T> ans;T sum = 0;if (flag){for (auto &e : v){sum += e;ans.eb(sum);}}else{ans.pb(0);REP(i, v.size(), 0){sum += v[i];ans.eb(sum);}reverse(all(ans));}return ans;}
ll ffs(ll n){if(n==0)return -1;return log2(n & -n);}
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; }
mt19937_64 rng(chrono::steady_clock::now().time_since_epoch().count());
ll uid(ll l, ll r) {return uniform_int_distribution<ll>(l, r)(rng);} 
//````````````````````````````````````````````````````````````````````````````````````````````````````````````

const ll INF = 1e18 + 10;
const ll inf = 1e9 + 10;
const ll N = 30000 + 10;
const ll mod1 = (1e9 + 7);
const ll mod2 = (998244353);

/*
Self notes cause I need it :
1. dumbfk read the question properly ... I m fed up with this lack of presence of mind
2. dont assume that something is given in question ,like the input is sorted or stuff
   if some step needs the input to be sorted , either check question or sort , dont assume
3. in case you have less time to debug : 
	Common errors :
	  -> Wrote wrong variable names at places cause ur stupid	
	 -> For debugging u hard coded small values and submitted that solution right away
*/

#define int long long
///Zero Indexed
///F=(x_0 or y_0) and (x_1 or y_1) and ... (x_{vars-1} or y_{vars-1})
///here y_i belongs to x_i
///is there any assignment of x_i such that F=true
///for (x_0 xor y_0) and (x_1 xor y_1)...
///replace (x_i xor y_i) by (x_i or y_i) and (not x_i or not y_i)
struct twosat {
	int n;	/// total size combining +, -. must be even.
	vector< set<int> > g, gt;	/// graph, transpose graph
	vector<bool> vis, res;	/// visited and resulting assignment
	vector<int> comp;	/// component number
	stack<int> ts;	/// topsort
 
	twosat(int vars=0) {
		n = (vars << 1);
		g.resize(n);
		gt.resize(n);
	}
	void addEdge(int u,int v){
		g[u].insert(v);
		gt[v].insert(u);
	}
	void dfs1(int u) {                         //topo 
		vis[u] = true;
		for(int v : g[u]) if(!vis[v]) dfs1(v);
		ts.push(u);
	}
 
	void dfs2(int u, int c) {                  //scc
		comp[u] = c;
		for(int v : gt[u]) if(comp[v] == -1) dfs2(v, c);
	}
	bool ok() {
		vis.resize(n, false);                   //find the topo
		for(int i=0; i<n; ++i) if(!vis[i]) dfs1(i);
 
		int scc = 0;                            //find the sccs
		comp.resize(n, -1);
		while(!ts.empty()) {
			int u = ts.top();
			ts.pop();
			if(comp[u] == -1) dfs2(u, scc++);
		}
 
		res.resize(n/2);
		for(int i=0; i<n; i+=2) {
			if(comp[i] == comp[i+1]) return false;           
			res[i / 2] = comp[i] > comp[i + 1];
		}
		return true;
	}
};
//for same  -> st.add(u,0,v,1),st.add(u,1,v,0) as !u or v ==  u->v
//for opp   -> st.add(u,0,v,0),st.add(u,1,v,1) as  u or v == !u->v
void transcendent(int tc)
{
	int n, m; cin >> n >> m;
	vec2<int> ok(n, vec1<int>(n));
	FOR(_, 0, m) {
		int u, v; cin >> u >> v;
		-- u, -- v;
		ok[u][v] = ok[v][u] = 1;
	}
	if(m == n * (n - 1) / 2) {
		cout << (n & 1) << nl;
		return;
	}
	twosat st(n);
	FOR(i, 0, n) {
		FOR(j, i + 1, n) {
			if(!ok[i][j]) {
				st.addEdge(i << 1, j << 1 | 1);
				st.addEdge(i << 1 | 1, j << 1);
				st.addEdge(j << 1, i << 1 | 1);
				st.addEdge(j << 1 | 1, i << 1);
			}
		}
	}
	if(!st.ok()) nyet
	set<int> a, b;
	FOR(i, 0, n) {
		if(st.res[i]) a.insert(i);
		else b.insert(i);
	}
	if(sz(a) > sz(b)) a.swap(b);
	while(sz(a) < sz(b)) {
		for(auto &x : b) {
			bool res = true;
			for(auto &y : a) {
				res &= ok[x][y];
			}
			if(res) {
				a.insert(x);
				b.erase(x);
				break;
			}
		}
	}
	cout << sz(b) - sz(a) << nl;
}	

static void read(){
	freopen("input.txt","r",stdin);
	freopen("output.txt","w",stdout);
}

int32_t main()
{
	//read();
	FAST_AF_BOI
	 auto begin = std::chrono::high_resolution_clock::now();
	cout << fixed << setprecision(12);
	cerr << fixed << setprecision(0);
	//clock_t timer;
	//timer = clock();
	//PreComp();
	int test = 1;
	// cin >> test;
	FOR(tc, 1, test + 1)
	{
			//cerr << endl << "----Test:" << tc << "----" <<endl;
			transcendent(tc);
	}
	auto end = std::chrono::high_resolution_clock::now();
	 auto elapsed = std::chrono::duration_cast<std::chrono::nanoseconds>(end - begin);
	 //cerr << "Time measured: " << elapsed.count() * 1e-9 << " seconds.\n"; 
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 78ms
memory: 11924kb

input:

1000 499000
20 615
260 390
779 37
13 563
650 605
358 684
783 370
162 90
379 662
88 208
458 371
178 3
590 762
455 514
738 641
270 805
205 881
205 315
837 54
976 579
519 532
982 669
563 804
648 274
268 293
182 392
337 772
961 603
294 607
546 772
189 218
702 266
515 610
691 965
643 235
509 193
184 302
...

output:

0

result:

ok single line: '0'

Test #2:

score: -100
Time Limit Exceeded

input:

1000 498999
35 65
880 835
501 309
590 758
882 857
356 493
43 623
644 637
361 785
58 317
26 11
595 521
723 629
611 36
789 29
30 650
426 475
852 862
667 137
677 173
656 44
457 279
680 567
789 989
368 873
510 721
128 584
835 956
419 779
607 568
317 790
932 580
336 400
74 265
772 855
939 816
448 883
381...

output:


result: