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답안 #211860

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
211860 2020-03-21T14:20:59 Z zscoder 조이터에서 친구를 만드는건 재밌어 (JOI20_joitter2) C++17
100 / 100
 1311 ms 105436 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;
 
#define fi first
#define se second
#define mp make_pair
#define pb push_back
#define fbo find_by_order
#define ook order_of_key
 
typedef long long ll;
typedef pair<ll,ll> ii;
typedef vector<ll> vi;
typedef long double ld; 
typedef tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> pbds;

ll global=0;

ll c2(ll x)
{
	return (x*(x-1));
}

set<ll> adj[122222]; //stores edges u->rt(v)
set<ll> radj[122222];
set<ll> a2[122222]; //stores edges rt(u)->rt(v)
set<ll> ra2[122222];
ll globaladj=0;
vector<ii> mergeq;

void transfer(ll r, ll r2);

struct DSU
{
	ll S;
	
	struct node
	{
		ll p;
		vi vec;
	};
	vector<node> dsu;
	
	DSU(ll n)
	{
		S = n;
		for(ll i = 0; i < n; i++)
		{
			node tmp;
			tmp.p = i; tmp.vec.pb(i);
			dsu.pb(tmp);
		}
	}
	
	void reset(ll n)
	{
		dsu.clear();
		S = n;
		for(ll i = 0; i < n; i++)
		{
			node tmp;
			tmp.p = i; tmp.vec.pb(i);
			dsu.pb(tmp);
		}
	}
	
	ll rt(ll u)
	{
		if(dsu[u].p == u) return u;
		dsu[u].p = rt(dsu[u].p);
		return dsu[u].p;
	}
	
	void merge(ll u, ll v)
	{
		u = rt(u); v = rt(v);
		if(u == v) return ;
		if(dsu[u].vec.size()<dsu[v].vec.size()) swap(u, v);
		dsu[v].p = u;
		global-=c2(dsu[u].vec.size());
		global-=c2(dsu[v].vec.size());
		ll sumsiz = dsu[u].vec.size()+dsu[v].vec.size();
		transfer(v,u);
		for(ll x:dsu[v].vec)
		{
			//we need to clear adj[x]!
			if(adj[x].find(u)!=adj[x].end())
			{
				globaladj-=sumsiz;
				adj[x].erase(u);
				radj[u].erase(x);
			}
			dsu[u].vec.pb(x);
		}
		dsu[v].vec.clear();
		global+=c2(dsu[u].vec.size());
	}
	
	bool sameset(ll u, ll v)
	{
		if(rt(u) == rt(v)) return true;
		return false;
	}
	
	ll getstat(ll u)
	{
		return dsu[rt(u)].vec.size();
	}
};

set<ll> naive[222222];
DSU dsu(1);
int main()
{
	ios_base::sync_with_stdio(0); cin.tie(0);
	const ll DEBUG=0;
	for(ll cc=1;;cc++)
	{
		ll n,m; 
		if(!DEBUG) cin>>n>>m;
		else
		{
			n=rand()%7+2;
			m=rand()%(n*(n-1))+1;
		}
		mergeq.clear();
		vector<ii> E;
		if(DEBUG)
		{
			for(ll i=0;i<n;i++)
			{
				for(ll j=0;j<n;j++)
				{
					if(i!=j) E.pb({i,j});
				}
			}
			random_shuffle(E.begin(),E.end());
		}
		for(ll i=0;i<n;i++)
		{
			adj[i].clear();radj[i].clear();
			a2[i].clear(); ra2[i].clear();
			naive[i].clear();
		}
		globaladj=0;
		global=0;
		dsu.reset(n);
		vi res_naive;
		vi res_real;
		vector<ii> edges;
		for(ll i=0;i<m;i++)
		{
			ll u,v; 
			if(!DEBUG) {cin>>u>>v; u--; v--;} 
			else {u=E[i].fi; v=E[i].se;}
			edges.pb({u,v});
			if(DEBUG)
			{
				naive[u].insert(v);
				for(ll z=0;z<n;z++)
				{
					for(ll i=0;i<n;i++)
					{
						for(ll v:naive[i])
						{
							for(ll x:naive[v])
							{
								if(x==i) continue;
								if(naive[x].find(v)!=naive[x].end())
								{
									naive[i].insert(x);
								}
							}
						}
					}
				}
				ll sum=0;
				for(ll i=0;i<n;i++)
				{
					sum+=naive[i].size();
				}
				res_naive.pb(sum);
				//cerr<<"REAL SUM: "<<sum<<'\n';
			}
			
			ll r1 = dsu.rt(u); ll r2 = dsu.rt(v);
			//cerr<<"INSERT "<<r1<<' '<<r2<<'\n';
			if(a2[r2].find(r1)!=a2[r2].end())
			{
				//merge r1 and r2
				mergeq.pb({r1,r2});
				//dsu.merge(r1,r2);
				//cerr<<i<<' '<<"MERGE: "<<r1<<' '<<r2<<'\n';
				//cerr<<dsu.rt(r1)<<'\n';
			}
			while(!mergeq.empty()) 
			{
				ii tmp = mergeq.back(); mergeq.pop_back();
				dsu.merge(tmp.fi,tmp.se);
			}
			r1=dsu.rt(r1); r2=dsu.rt(r2);
			if(r1!=r2) 
			{
				if(adj[u].find(r2)==adj[u].end()) globaladj+=dsu.getstat(r2);
				adj[u].insert(r2);
				radj[r2].insert(u);
				a2[r1].insert(r2);
				ra2[r2].insert(r1);
			}
			ll ans=0;
			/*
			for(ll i=0;i<n;i++)
			{
				for(ll v:adj[i])
				{
					ll r1 = dsu.rt(i); ll r2 = dsu.rt(v);
					if(r1==r2) continue;
					//cerr<<"ADJ: "<<i<<' '<<v<<'\n';
					ans+=dsu.getstat(r2);
				}
			}
			*/
			ans+=global;
			ans+=globaladj;
			res_real.pb(ans);
			//cout<<ans<<'\n';
		}
		if(!DEBUG)
		{
			for(ll x:res_real)
			{
				cout<<x<<'\n';
			}
			return 0;
		}
		if(res_real!=res_naive)
		{
			for(ll i=0;i<m;i++)
			{
				cerr<<res_real[i]<<' '<<res_naive[i]<<'\n';
			}
			freopen("joitter-tc.out","w",stdout);
			cout<<n<<' '<<m<<'\n';
			for(ii e:edges)
			{
				cout<<e.fi+1<<' '<<e.se+1<<'\n';
			}
			return 0;
		}
		cerr<<"Case #"<<cc<<" complete\n";
	}
}

void transfer(ll r, ll r2)
{
	ll oldsiz = dsu.dsu[r].vec.size();
	ll newsiz = dsu.dsu[r].vec.size()+dsu.dsu[r2].vec.size();
	globaladj+=ll(oldsiz)*ll(radj[r2].size()); //add these to value, then now we normalize by removing stuff
	for(ll x:radj[r])
	{
		assert(adj[x].find(r)!=adj[x].end());
		//cerr<<"REMOVE: "<<x<<' '<<r<<'\n';
		globaladj-=oldsiz;
		adj[x].erase(r);
		if(dsu.rt(x)!=r2)
		{
			if(adj[x].find(r2)==adj[x].end())
			{
				globaladj+=newsiz;			
				adj[x].insert(r2);
			}
			radj[r2].insert(x);
		}
	}
	radj[r].clear();
	for(ll x:ra2[r])
	{
		a2[x].erase(r);
		if(x!=r2)
		{
			a2[x].insert(r2);
			ra2[r2].insert(x);
			if(a2[r2].find(x)!=a2[r2].end())
			{
				mergeq.pb({x,r2});
			}
		}
	}
	for(ll x:a2[r])
	{
		ra2[x].erase(r);
		if(x!=r2)
		{
			a2[r2].insert(x);
			ra2[x].insert(r2);
			if(a2[x].find(r2)!=a2[x].end())
			{
				mergeq.pb({x,r2});
			}
		}
	}
	a2[r].clear();
	ra2[r].clear();
}

Compilation message

joitter2.cpp: In function 'int main()':
joitter2.cpp:246:11: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)', declared with attribute warn_unused_result [-Wunused-result]
    freopen("joitter-tc.out","w",stdout);
    ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtask #1
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 24 ms 33792 KB Output is correct
2 Correct 23 ms 33664 KB Output is correct
3 Correct 27 ms 33792 KB Output is correct
4 Correct 28 ms 33792 KB Output is correct
5 Correct 23 ms 33792 KB Output is correct
6 Correct 22 ms 33792 KB Output is correct
7 Correct 23 ms 33920 KB Output is correct
8 Correct 27 ms 33792 KB Output is correct
9 Correct 24 ms 33920 KB Output is correct
10 Correct 24 ms 33792 KB Output is correct
11 Correct 27 ms 33792 KB Output is correct
12 Correct 25 ms 33792 KB Output is correct
13 Correct 24 ms 33792 KB Output is correct
14 Correct 27 ms 33776 KB Output is correct
15 Correct 25 ms 33792 KB Output is correct
16 Correct 24 ms 33792 KB Output is correct
17 Correct 25 ms 33792 KB Output is correct
18 Correct 24 ms 33792 KB Output is correct
19 Correct 26 ms 33792 KB Output is correct
20 Correct 26 ms 33792 KB Output is correct
21 Correct 33 ms 33912 KB Output is correct
22 Correct 26 ms 33792 KB Output is correct
23 Correct 26 ms 33768 KB Output is correct
24 Correct 25 ms 33792 KB Output is correct
25 Correct 25 ms 33792 KB Output is correct
26 Correct 24 ms 33792 KB Output is correct
27 Correct 24 ms 33792 KB Output is correct
28 Correct 24 ms 33792 KB Output is correct
29 Correct 26 ms 33792 KB Output is correct
30 Correct 24 ms 33792 KB Output is correct
31 Correct 25 ms 33792 KB Output is correct
32 Correct 24 ms 33792 KB Output is correct
33 Correct 25 ms 33792 KB Output is correct

Subtask #2
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 24 ms 33792 KB Output is correct
2 Correct 23 ms 33664 KB Output is correct
3 Correct 27 ms 33792 KB Output is correct
4 Correct 28 ms 33792 KB Output is correct
5 Correct 23 ms 33792 KB Output is correct
6 Correct 22 ms 33792 KB Output is correct
7 Correct 23 ms 33920 KB Output is correct
8 Correct 27 ms 33792 KB Output is correct
9 Correct 24 ms 33920 KB Output is correct
10 Correct 24 ms 33792 KB Output is correct
11 Correct 27 ms 33792 KB Output is correct
12 Correct 25 ms 33792 KB Output is correct
13 Correct 24 ms 33792 KB Output is correct
14 Correct 27 ms 33776 KB Output is correct
15 Correct 25 ms 33792 KB Output is correct
16 Correct 24 ms 33792 KB Output is correct
17 Correct 25 ms 33792 KB Output is correct
18 Correct 24 ms 33792 KB Output is correct
19 Correct 26 ms 33792 KB Output is correct
20 Correct 26 ms 33792 KB Output is correct
21 Correct 33 ms 33912 KB Output is correct
22 Correct 26 ms 33792 KB Output is correct
23 Correct 26 ms 33768 KB Output is correct
24 Correct 25 ms 33792 KB Output is correct
25 Correct 25 ms 33792 KB Output is correct
26 Correct 24 ms 33792 KB Output is correct
27 Correct 24 ms 33792 KB Output is correct
28 Correct 24 ms 33792 KB Output is correct
29 Correct 26 ms 33792 KB Output is correct
30 Correct 24 ms 33792 KB Output is correct
31 Correct 25 ms 33792 KB Output is correct
32 Correct 24 ms 33792 KB Output is correct
33 Correct 25 ms 33792 KB Output is correct
34 Correct 27 ms 34176 KB Output is correct
35 Correct 123 ms 48204 KB Output is correct
36 Correct 175 ms 51316 KB Output is correct
37 Correct 149 ms 50420 KB Output is correct
38 Correct 144 ms 51152 KB Output is correct
39 Correct 26 ms 34048 KB Output is correct
40 Correct 28 ms 34176 KB Output is correct
41 Correct 29 ms 34304 KB Output is correct
42 Correct 30 ms 34048 KB Output is correct
43 Correct 28 ms 34168 KB Output is correct
44 Correct 28 ms 34176 KB Output is correct
45 Correct 26 ms 34048 KB Output is correct
46 Correct 26 ms 34048 KB Output is correct
47 Correct 31 ms 34304 KB Output is correct
48 Correct 27 ms 34304 KB Output is correct
49 Correct 36 ms 35324 KB Output is correct
50 Correct 160 ms 51572 KB Output is correct
51 Correct 33 ms 34688 KB Output is correct
52 Correct 133 ms 48476 KB Output is correct
53 Correct 36 ms 35200 KB Output is correct
54 Correct 152 ms 50640 KB Output is correct
55 Correct 31 ms 34816 KB Output is correct
56 Correct 31 ms 34816 KB Output is correct
57 Correct 30 ms 34816 KB Output is correct
58 Correct 32 ms 34816 KB Output is correct
59 Correct 27 ms 34304 KB Output is correct
60 Correct 117 ms 47572 KB Output is correct
61 Correct 29 ms 34304 KB Output is correct
62 Correct 149 ms 49976 KB Output is correct

Subtask #3
83.0 / 83.0

# 결과 실행 시간 메모리 Grader output
1 Correct 24 ms 33792 KB Output is correct
2 Correct 23 ms 33664 KB Output is correct
3 Correct 27 ms 33792 KB Output is correct
4 Correct 28 ms 33792 KB Output is correct
5 Correct 23 ms 33792 KB Output is correct
6 Correct 22 ms 33792 KB Output is correct
7 Correct 23 ms 33920 KB Output is correct
8 Correct 27 ms 33792 KB Output is correct
9 Correct 24 ms 33920 KB Output is correct
10 Correct 24 ms 33792 KB Output is correct
11 Correct 27 ms 33792 KB Output is correct
12 Correct 25 ms 33792 KB Output is correct
13 Correct 24 ms 33792 KB Output is correct
14 Correct 27 ms 33776 KB Output is correct
15 Correct 25 ms 33792 KB Output is correct
16 Correct 24 ms 33792 KB Output is correct
17 Correct 25 ms 33792 KB Output is correct
18 Correct 24 ms 33792 KB Output is correct
19 Correct 26 ms 33792 KB Output is correct
20 Correct 26 ms 33792 KB Output is correct
21 Correct 33 ms 33912 KB Output is correct
22 Correct 26 ms 33792 KB Output is correct
23 Correct 26 ms 33768 KB Output is correct
24 Correct 25 ms 33792 KB Output is correct
25 Correct 25 ms 33792 KB Output is correct
26 Correct 24 ms 33792 KB Output is correct
27 Correct 24 ms 33792 KB Output is correct
28 Correct 24 ms 33792 KB Output is correct
29 Correct 26 ms 33792 KB Output is correct
30 Correct 24 ms 33792 KB Output is correct
31 Correct 25 ms 33792 KB Output is correct
32 Correct 24 ms 33792 KB Output is correct
33 Correct 25 ms 33792 KB Output is correct
34 Correct 27 ms 34176 KB Output is correct
35 Correct 123 ms 48204 KB Output is correct
36 Correct 175 ms 51316 KB Output is correct
37 Correct 149 ms 50420 KB Output is correct
38 Correct 144 ms 51152 KB Output is correct
39 Correct 26 ms 34048 KB Output is correct
40 Correct 28 ms 34176 KB Output is correct
41 Correct 29 ms 34304 KB Output is correct
42 Correct 30 ms 34048 KB Output is correct
43 Correct 28 ms 34168 KB Output is correct
44 Correct 28 ms 34176 KB Output is correct
45 Correct 26 ms 34048 KB Output is correct
46 Correct 26 ms 34048 KB Output is correct
47 Correct 31 ms 34304 KB Output is correct
48 Correct 27 ms 34304 KB Output is correct
49 Correct 36 ms 35324 KB Output is correct
50 Correct 160 ms 51572 KB Output is correct
51 Correct 33 ms 34688 KB Output is correct
52 Correct 133 ms 48476 KB Output is correct
53 Correct 36 ms 35200 KB Output is correct
54 Correct 152 ms 50640 KB Output is correct
55 Correct 31 ms 34816 KB Output is correct
56 Correct 31 ms 34816 KB Output is correct
57 Correct 30 ms 34816 KB Output is correct
58 Correct 32 ms 34816 KB Output is correct
59 Correct 27 ms 34304 KB Output is correct
60 Correct 117 ms 47572 KB Output is correct
61 Correct 29 ms 34304 KB Output is correct
62 Correct 149 ms 49976 KB Output is correct
63 Correct 689 ms 105436 KB Output is correct
64 Correct 681 ms 105432 KB Output is correct
65 Correct 689 ms 105432 KB Output is correct
66 Correct 192 ms 50528 KB Output is correct
67 Correct 426 ms 62304 KB Output is correct
68 Correct 196 ms 50528 KB Output is correct
69 Correct 450 ms 58976 KB Output is correct
70 Correct 198 ms 50528 KB Output is correct
71 Correct 196 ms 50528 KB Output is correct
72 Correct 462 ms 58720 KB Output is correct
73 Correct 489 ms 59104 KB Output is correct
74 Correct 1311 ms 75864 KB Output is correct
75 Correct 787 ms 68536 KB Output is correct
76 Correct 1054 ms 75016 KB Output is correct
77 Correct 1008 ms 75260 KB Output is correct
78 Correct 296 ms 57312 KB Output is correct
79 Correct 519 ms 63192 KB Output is correct
80 Correct 275 ms 57312 KB Output is correct
81 Correct 463 ms 63020 KB Output is correct
82 Correct 1048 ms 85472 KB Output is correct
83 Correct 1033 ms 85472 KB Output is correct
84 Correct 916 ms 85600 KB Output is correct
85 Correct 909 ms 85472 KB Output is correct
86 Correct 260 ms 59748 KB Output is correct
87 Correct 316 ms 64808 KB Output is correct
88 Correct 493 ms 58848 KB Output is correct
89 Correct 910 ms 74460 KB Output is correct