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답안 #939465

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
939465 2024-03-06T11:41:09 Z pcc 조이터에서 친구를 만드는건 재밌어 (JOI20_joitter2) C++14
100 / 100
 1232 ms 82260 KB 
#include <bits/stdc++.h>
using namespace std;

#define ll long long
#define pll pair<ll,ll>
#define pii pair<int,int>
#define fs first
#define sc second
#define tlll tuple<ll,ll,ll>

const int mxn = 1e5+10;
int N,M;
ll ans = 0;
int dsu[mxn],sz[mxn];
set<pii> in[mxn],out[mxn];
map<pii,int> toaru;

int root(int k){
	return k == dsu[k]?k:dsu[k] = root(dsu[k]);
}

void init(){
	for(int i = 1;i<=N;i++){
		dsu[i] = i;
		sz[i] = 1;
	}
	ans = 0;
	return;
}
void add_edge(int a,int b){
	int ra = root(a),rb = root(b);
	out[ra].insert({rb,a});
	in[rb].insert({ra,a});
	toaru[pii(ra,rb)]++;
	ans += sz[rb];
	return;
}

vector<pii> v;

void combine(){
	auto [a,b] = v.back();
	v.pop_back();
	//cerr<<"COMBINE:"<<a<<','<<b<<endl;
	int ra = root(a),rb = root(b);
	if(ra == rb)return;
	toaru.erase(pii(rb,ra));
	if(in[ra].size()+out[ra].size()>in[rb].size()+out[rb].size())swap(ra,rb);
	//cerr<<"ans:"<<ans<<endl;
	ans = ans-1ll*sz[ra]*in[ra].size()-1ll*sz[rb]*in[rb].size();
	//cerr<<"ans:"<<ans<<endl;
	while(!in[ra].empty()){
		auto [rt,now] = *in[ra].begin();
		in[ra].erase(in[ra].begin());
		//assert(rt != ra);
		if(rt == rb){
			continue;
		}
		out[rt].erase(pii(ra,now));
		out[rt].insert({rb,now});
		toaru[pii(rt,rb)]++;
		toaru[pii(rt,ra)]--;
		in[rb].insert({rt,now});
		auto it = in[rt].lower_bound({rb,-1});
		if(it != in[rt].end()&&it->fs == rb)v.emplace_back(rb,rt);
	}
	while(!out[ra].empty()){
		auto [rt,now] = *out[ra].begin();
		out[ra].erase(out[ra].begin());
		//assert(rt != ra);
		if(rt == rb){
			continue;
		}
		auto src = in[rt].lower_bound({ra,-1})->sc;
		in[rt].erase(pii(ra,now));
		in[rt].insert(pii(rb,now));
		toaru[pii(ra,rt)]--;
		toaru[pii(rb,rt)]++;
		out[rb].insert({rt,now});
		auto it = out[rt].lower_bound({rb,-1});
		if(it != out[rt].end()&&it->fs == rb)v.emplace_back(rb,rt);
	}
	out[rb].erase(out[rb].lower_bound({ra,-1}),out[rb].lower_bound({ra+1,-1}));
	in[rb].erase(in[rb].lower_bound({ra,-1}),in[rb].lower_bound({ra+1,-1}));
	//cerr<<a<<' '<<b<<":"<<ra<<' '<<rb<<endl;
	//cerr<<"in[rb]:";for(auto &i:in[rb])cerr<<i.fs<<','<<i.sc<<' ';cerr<<endl;
	//cerr<<"out[rb]:";for(auto &i:out[rb])cerr<<i.fs<<','<<i.sc<<' ';cerr<<endl;
	ans += 1ll*(sz[ra]+sz[rb])*in[rb].size();
	//cerr<<"ans:"<<ans<<endl;
	ans += 2ll*sz[ra]*sz[rb];
	dsu[ra] = rb;
	sz[rb] += sz[ra];
	return;
}

inline void calc(int a,int b){
	int rb = root(b),ra = root(a);
	if(in[rb].find(pii(ra,a)) != in[rb].end())return;
	else if(ra == rb)return;
	if(!toaru[pii(rb,ra)])add_edge(a,b);
	else v.push_back({a,b});
	while(!v.empty())combine();
}

int main(){
	ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
	cin>>N>>M;
	init();
	for(int i = 1;i<=M;i++){
		int a,b;
		cin>>a>>b;
		calc(a,b);
		cout<<ans<<'\n';
	}
	return 0;
}

Compilation message

joitter2.cpp: In function 'void combine()':
joitter2.cpp:42:7: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   42 |  auto [a,b] = v.back();
      |       ^
joitter2.cpp:53:8: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   53 |   auto [rt,now] = *in[ra].begin();
      |        ^
joitter2.cpp:68:8: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   68 |   auto [rt,now] = *out[ra].begin();
      |        ^
joitter2.cpp:74:8: warning: unused variable 'src' [-Wunused-variable]
   74 |   auto src = in[rt].lower_bound({ra,-1})->sc;
      |        ^~~

Subtask #1
1.0 / 1.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 9816 KB Output is correct
2 Correct 2 ms 9820 KB Output is correct
3 Correct 2 ms 9820 KB Output is correct
4 Correct 2 ms 9820 KB Output is correct
5 Correct 2 ms 9820 KB Output is correct
6 Correct 2 ms 9820 KB Output is correct
7 Correct 3 ms 9820 KB Output is correct
8 Correct 3 ms 9820 KB Output is correct
9 Correct 3 ms 9820 KB Output is correct
10 Correct 3 ms 9820 KB Output is correct
11 Correct 3 ms 9820 KB Output is correct
12 Correct 2 ms 9820 KB Output is correct
13 Correct 3 ms 9820 KB Output is correct
14 Correct 3 ms 9820 KB Output is correct
15 Correct 2 ms 9856 KB Output is correct
16 Correct 2 ms 9820 KB Output is correct
17 Correct 2 ms 9820 KB Output is correct
18 Correct 3 ms 9820 KB Output is correct
19 Correct 2 ms 9816 KB Output is correct
20 Correct 2 ms 9820 KB Output is correct
21 Correct 3 ms 9820 KB Output is correct
22 Correct 2 ms 9820 KB Output is correct
23 Correct 3 ms 9820 KB Output is correct
24 Correct 2 ms 9816 KB Output is correct
25 Correct 3 ms 9820 KB Output is correct
26 Correct 2 ms 9652 KB Output is correct
27 Correct 3 ms 9820 KB Output is correct
28 Correct 2 ms 9820 KB Output is correct
29 Correct 3 ms 9816 KB Output is correct
30 Correct 2 ms 9820 KB Output is correct
31 Correct 2 ms 9820 KB Output is correct
32 Correct 2 ms 9820 KB Output is correct
33 Correct 3 ms 9820 KB Output is correct

Subtask #2
16.0 / 16.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 9816 KB Output is correct
2 Correct 2 ms 9820 KB Output is correct
3 Correct 2 ms 9820 KB Output is correct
4 Correct 2 ms 9820 KB Output is correct
5 Correct 2 ms 9820 KB Output is correct
6 Correct 2 ms 9820 KB Output is correct
7 Correct 3 ms 9820 KB Output is correct
8 Correct 3 ms 9820 KB Output is correct
9 Correct 3 ms 9820 KB Output is correct
10 Correct 3 ms 9820 KB Output is correct
11 Correct 3 ms 9820 KB Output is correct
12 Correct 2 ms 9820 KB Output is correct
13 Correct 3 ms 9820 KB Output is correct
14 Correct 3 ms 9820 KB Output is correct
15 Correct 2 ms 9856 KB Output is correct
16 Correct 2 ms 9820 KB Output is correct
17 Correct 2 ms 9820 KB Output is correct
18 Correct 3 ms 9820 KB Output is correct
19 Correct 2 ms 9816 KB Output is correct
20 Correct 2 ms 9820 KB Output is correct
21 Correct 3 ms 9820 KB Output is correct
22 Correct 2 ms 9820 KB Output is correct
23 Correct 3 ms 9820 KB Output is correct
24 Correct 2 ms 9816 KB Output is correct
25 Correct 3 ms 9820 KB Output is correct
26 Correct 2 ms 9652 KB Output is correct
27 Correct 3 ms 9820 KB Output is correct
28 Correct 2 ms 9820 KB Output is correct
29 Correct 3 ms 9816 KB Output is correct
30 Correct 2 ms 9820 KB Output is correct
31 Correct 2 ms 9820 KB Output is correct
32 Correct 2 ms 9820 KB Output is correct
33 Correct 3 ms 9820 KB Output is correct
34 Correct 4 ms 9820 KB Output is correct
35 Correct 66 ms 15956 KB Output is correct
36 Correct 95 ms 20172 KB Output is correct
37 Correct 100 ms 20452 KB Output is correct
38 Correct 92 ms 19792 KB Output is correct
39 Correct 4 ms 9820 KB Output is correct
40 Correct 5 ms 10076 KB Output is correct
41 Correct 6 ms 10076 KB Output is correct
42 Correct 4 ms 9820 KB Output is correct
43 Correct 5 ms 10076 KB Output is correct
44 Correct 6 ms 10168 KB Output is correct
45 Correct 4 ms 9820 KB Output is correct
46 Correct 5 ms 9820 KB Output is correct
47 Correct 6 ms 10076 KB Output is correct
48 Correct 8 ms 10076 KB Output is correct
49 Correct 14 ms 11284 KB Output is correct
50 Correct 103 ms 20552 KB Output is correct
51 Correct 11 ms 10628 KB Output is correct
52 Correct 75 ms 17832 KB Output is correct
53 Correct 13 ms 11348 KB Output is correct
54 Correct 82 ms 19152 KB Output is correct
55 Correct 9 ms 10844 KB Output is correct
56 Correct 8 ms 10832 KB Output is correct
57 Correct 8 ms 10844 KB Output is correct
58 Correct 9 ms 10796 KB Output is correct
59 Correct 4 ms 9820 KB Output is correct
60 Correct 53 ms 14928 KB Output is correct
61 Correct 6 ms 10332 KB Output is correct
62 Correct 92 ms 19540 KB Output is correct

Subtask #3
83.0 / 83.0

# 결과 실행 시간 메모리 Grader output
1 Correct 3 ms 9816 KB Output is correct
2 Correct 2 ms 9820 KB Output is correct
3 Correct 2 ms 9820 KB Output is correct
4 Correct 2 ms 9820 KB Output is correct
5 Correct 2 ms 9820 KB Output is correct
6 Correct 2 ms 9820 KB Output is correct
7 Correct 3 ms 9820 KB Output is correct
8 Correct 3 ms 9820 KB Output is correct
9 Correct 3 ms 9820 KB Output is correct
10 Correct 3 ms 9820 KB Output is correct
11 Correct 3 ms 9820 KB Output is correct
12 Correct 2 ms 9820 KB Output is correct
13 Correct 3 ms 9820 KB Output is correct
14 Correct 3 ms 9820 KB Output is correct
15 Correct 2 ms 9856 KB Output is correct
16 Correct 2 ms 9820 KB Output is correct
17 Correct 2 ms 9820 KB Output is correct
18 Correct 3 ms 9820 KB Output is correct
19 Correct 2 ms 9816 KB Output is correct
20 Correct 2 ms 9820 KB Output is correct
21 Correct 3 ms 9820 KB Output is correct
22 Correct 2 ms 9820 KB Output is correct
23 Correct 3 ms 9820 KB Output is correct
24 Correct 2 ms 9816 KB Output is correct
25 Correct 3 ms 9820 KB Output is correct
26 Correct 2 ms 9652 KB Output is correct
27 Correct 3 ms 9820 KB Output is correct
28 Correct 2 ms 9820 KB Output is correct
29 Correct 3 ms 9816 KB Output is correct
30 Correct 2 ms 9820 KB Output is correct
31 Correct 2 ms 9820 KB Output is correct
32 Correct 2 ms 9820 KB Output is correct
33 Correct 3 ms 9820 KB Output is correct
34 Correct 4 ms 9820 KB Output is correct
35 Correct 66 ms 15956 KB Output is correct
36 Correct 95 ms 20172 KB Output is correct
37 Correct 100 ms 20452 KB Output is correct
38 Correct 92 ms 19792 KB Output is correct
39 Correct 4 ms 9820 KB Output is correct
40 Correct 5 ms 10076 KB Output is correct
41 Correct 6 ms 10076 KB Output is correct
42 Correct 4 ms 9820 KB Output is correct
43 Correct 5 ms 10076 KB Output is correct
44 Correct 6 ms 10168 KB Output is correct
45 Correct 4 ms 9820 KB Output is correct
46 Correct 5 ms 9820 KB Output is correct
47 Correct 6 ms 10076 KB Output is correct
48 Correct 8 ms 10076 KB Output is correct
49 Correct 14 ms 11284 KB Output is correct
50 Correct 103 ms 20552 KB Output is correct
51 Correct 11 ms 10628 KB Output is correct
52 Correct 75 ms 17832 KB Output is correct
53 Correct 13 ms 11348 KB Output is correct
54 Correct 82 ms 19152 KB Output is correct
55 Correct 9 ms 10844 KB Output is correct
56 Correct 8 ms 10832 KB Output is correct
57 Correct 8 ms 10844 KB Output is correct
58 Correct 9 ms 10796 KB Output is correct
59 Correct 4 ms 9820 KB Output is correct
60 Correct 53 ms 14928 KB Output is correct
61 Correct 6 ms 10332 KB Output is correct
62 Correct 92 ms 19540 KB Output is correct
63 Correct 789 ms 82000 KB Output is correct
64 Correct 740 ms 82260 KB Output is correct
65 Correct 762 ms 82000 KB Output is correct
66 Correct 111 ms 21072 KB Output is correct
67 Correct 313 ms 28244 KB Output is correct
68 Correct 106 ms 21240 KB Output is correct
69 Correct 331 ms 27860 KB Output is correct
70 Correct 111 ms 21456 KB Output is correct
71 Correct 101 ms 21288 KB Output is correct
72 Correct 311 ms 28716 KB Output is correct
73 Correct 342 ms 28504 KB Output is correct
74 Correct 1232 ms 60872 KB Output is correct
75 Correct 578 ms 37312 KB Output is correct
76 Correct 858 ms 49652 KB Output is correct
77 Correct 888 ms 49952 KB Output is correct
78 Correct 228 ms 31176 KB Output is correct
79 Correct 328 ms 34896 KB Output is correct
80 Correct 216 ms 31060 KB Output is correct
81 Correct 308 ms 34384 KB Output is correct
82 Correct 948 ms 59988 KB Output is correct
83 Correct 902 ms 60200 KB Output is correct
84 Correct 835 ms 59680 KB Output is correct
85 Correct 807 ms 59552 KB Output is correct
86 Correct 151 ms 20460 KB Output is correct
87 Correct 166 ms 22612 KB Output is correct
88 Correct 315 ms 28708 KB Output is correct
89 Correct 782 ms 47752 KB Output is correct