#include<bits/stdc++.h>
using namespace std;
const int maxn = 2e5+5;
const int inf = 1e9;
#define pii pair<int,int>
#define piii pair<pii,int>
#define fi first
#define se second
struct rec{
int l,r,u,d;
rec(int l=0,int r=0,int u=0,int d=0):l(l),r(r),u(u),d(d){}
};
int N,K;
vector<rec> A;
int rev(int x){
return (x>2*N?x-2*N:x+2*N);
}
int T,f[maxn],lt[4],rt[4];
vector<int> edge[8*maxn];
vector<piii> cc[4];
void add_edge(int u,int v){
edge[u].push_back(v);
}
int num[8*maxn],low[8*maxn],scc[8*maxn],cnt;
bool inst[8*maxn];
vector<int> st;
void dfs(int u){
num[u]=low[u]=++T;
inst[u]=true;st.push_back(u);
for(int v:edge[u]){
if(!num[v]){
dfs(v);
low[u]=min(low[u],low[v]);
}
else if(inst[v]) low[u]=min(low[u],num[v]);
}
if(low[u]==num[u]){
int v=-1;cnt++;
do{
v=st.back();
scc[v]=cnt;
st.pop_back();
inst[v]=false;
}while(v!=u);
}
}
void solve(){
int L=0,R=inf,U=inf,D=0;
for(auto [l,r,u,d]:A) L=max(L,l),R=min(R,r),U=min(U,u),D=max(D,d);
for(int i=0;i<4;i++) lt[i]=0,rt[i]=inf;
auto add = [&](int l,int r,int u,int d){
int k=0,op=-1,oq=-1;
pii p,q;
if(l<=L && L<=r) q={d,u},oq=0,swap(p,q),swap(op,oq),k++;
if(l<=R && R<=r) q={d,u},oq=1,swap(p,q),swap(op,oq),k++;
if(d<=D && D<=u) q={l,r},oq=2,swap(p,q),swap(op,oq),k++;
if(d<=U && U<=u) q={l,r},oq=3,swap(p,q),swap(op,oq),k++;
if(k>=3) return;
if(k==1){
lt[op]=max(lt[op],p.fi);
rt[op]=min(rt[op],p.se);
}
else{
cc[op].push_back({p,++T});
cc[oq].push_back({q,++T});
add_edge(rev(T-1),T);
add_edge(rev(T),T-1);
}
};
for(auto [l,r,u,d]:A) add(l,r,u,d);
int S=T;T+=2*N;
for(int t=0;t<4;t++){
sort(cc[t].begin(),cc[t].end(),[&](piii a,piii b){
return a.fi.se<b.fi.se;
});
int sz=(int)cc[t].size();
for(int i=0;i<sz;i++){
auto [p,id]=cc[t][i];
if(p.se<lt[t] || rt[t]<p.fi) add_edge(id,rev(id));
f[i]=++T;add_edge(f[i],rev(id));
if(i) add_edge(f[i],f[i-1]);
int l=-1,r=i-1;
while(l<r){
int m=(l+r+1)>>1;
if(cc[t][m].fi.se<p.fi) l=m;
else r=m-1;
}
if(l>=0) add_edge(id,f[l]);
}
sort(cc[t].begin(),cc[t].end(),[&](piii a,piii b){
return a.fi.fi<b.fi.fi;
});
for(int i=sz-1;i>=0;i--){
auto [p,id]=cc[t][i];
f[i]=++T;add_edge(f[i],rev(id));
if(i<sz-1) add_edge(f[i],f[i+1]);
int l=i+1,r=sz;
while(l<r){
int m=(l+r)>>1;
if(cc[t][m].fi.fi>p.se) r=m;
else l=m+1;
}
if(l<sz) add_edge(id,f[l]);
}
}
int M=T;T=0;
for(int i=1;i<=M;i++) if(!num[i]) dfs(i);
vector<bool> use(S+1);
for(int i=1;i<=S;i++) use[i]=(scc[i]<scc[rev(i)]);
for(int t=0;t<4;t++){
for(auto [p,id]:cc[t]){
if(use[id]) lt[t]=max(lt[t],p.fi),rt[t]=min(rt[t],p.se);
}
}
cout << L << ' ' << lt[0] << '\n';
cout << R << ' ' << lt[1] << '\n';
cout << lt[2] << ' ' << D << '\n';
cout << lt[3] << ' ' << U << '\n';
}
bool check=false;
vector<pii> cur;
vector<rec> get(int x,int y,vector<rec> a){
cur.push_back({x,y});
vector<rec> res;
for(auto [l,r,u,d]:a) if(x<l || r<x || y<d || u<y) res.push_back(rec(l,r,u,d));
return res;
}
void dfs(int k,vector<rec> a){
if(check) return;
if(!k){
if(!a.empty() || check) return;
check=true;
for(auto [x,y]:cur) cout << x << ' ' << y << '\n';
return;
}
int L=0,R=inf,U=inf,D=0;
for(auto [l,r,u,d]:a) L=max(L,l),R=min(R,r),U=min(U,u),D=max(D,d);
dfs(k-1,get(L,U,a));cur.pop_back();
dfs(k-1,get(L,D,a));cur.pop_back();
dfs(k-1,get(R,U,a));cur.pop_back();
dfs(k-1,get(R,D,a));cur.pop_back();
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(NULL);cout.tie(NULL);
cin >> N >> K;
for(int i=0;i<N;i++){
int l,r,u,d;cin >> l >> d >> r >> u;
A.push_back(rec(l,r,u,d));
}
dfs(K,A);
if(check) return 0;
solve();
}
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
18 ms |
38232 KB |
Output is correct |
2 |
Correct |
18 ms |
37980 KB |
Output is correct |
3 |
Correct |
19 ms |
38236 KB |
Output is correct |
4 |
Correct |
19 ms |
37976 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
18 ms |
38232 KB |
Output is correct |
2 |
Correct |
18 ms |
38236 KB |
Output is correct |
3 |
Correct |
18 ms |
38236 KB |
Output is correct |
4 |
Correct |
19 ms |
38236 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
18 ms |
38212 KB |
Output is correct |
2 |
Correct |
19 ms |
38236 KB |
Output is correct |
3 |
Correct |
18 ms |
38080 KB |
Output is correct |
4 |
Correct |
18 ms |
38236 KB |
Output is correct |
5 |
Correct |
22 ms |
38060 KB |
Output is correct |
6 |
Correct |
19 ms |
38236 KB |
Output is correct |
7 |
Correct |
19 ms |
38232 KB |
Output is correct |
8 |
Correct |
19 ms |
38236 KB |
Output is correct |
9 |
Correct |
19 ms |
38236 KB |
Output is correct |
10 |
Correct |
19 ms |
38232 KB |
Output is correct |
11 |
Correct |
19 ms |
38232 KB |
Output is correct |
12 |
Correct |
19 ms |
38232 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
21 ms |
38236 KB |
Output is correct |
2 |
Correct |
19 ms |
38236 KB |
Output is correct |
3 |
Correct |
20 ms |
38236 KB |
Output is correct |
4 |
Correct |
19 ms |
38220 KB |
Output is correct |
5 |
Correct |
19 ms |
38236 KB |
Output is correct |
6 |
Correct |
18 ms |
38232 KB |
Output is correct |
7 |
Correct |
25 ms |
38396 KB |
Output is correct |
8 |
Correct |
20 ms |
38360 KB |
Output is correct |
9 |
Correct |
19 ms |
38232 KB |
Output is correct |
10 |
Correct |
20 ms |
38420 KB |
Output is correct |
11 |
Correct |
21 ms |
38408 KB |
Output is correct |
12 |
Correct |
19 ms |
38236 KB |
Output is correct |
13 |
Correct |
19 ms |
38236 KB |
Output is correct |
14 |
Correct |
21 ms |
38440 KB |
Output is correct |
15 |
Correct |
18 ms |
38236 KB |
Output is correct |
16 |
Correct |
19 ms |
38232 KB |
Output is correct |
17 |
Correct |
23 ms |
38588 KB |
Output is correct |
18 |
Correct |
20 ms |
38236 KB |
Output is correct |
19 |
Correct |
20 ms |
38348 KB |
Output is correct |
20 |
Correct |
24 ms |
38460 KB |
Output is correct |
21 |
Correct |
20 ms |
38428 KB |
Output is correct |
22 |
Correct |
17 ms |
38296 KB |
Output is correct |
23 |
Correct |
25 ms |
38576 KB |
Output is correct |
24 |
Correct |
18 ms |
38236 KB |
Output is correct |
25 |
Correct |
22 ms |
38448 KB |
Output is correct |
26 |
Correct |
22 ms |
38448 KB |
Output is correct |
27 |
Correct |
22 ms |
38408 KB |
Output is correct |
28 |
Correct |
22 ms |
38116 KB |
Output is correct |
29 |
Correct |
21 ms |
38384 KB |
Output is correct |
30 |
Correct |
18 ms |
38236 KB |
Output is correct |
31 |
Correct |
23 ms |
38436 KB |
Output is correct |
32 |
Correct |
21 ms |
38380 KB |
Output is correct |
33 |
Correct |
21 ms |
38372 KB |
Output is correct |
34 |
Correct |
21 ms |
38400 KB |
Output is correct |
35 |
Correct |
26 ms |
38448 KB |
Output is correct |
36 |
Correct |
21 ms |
38468 KB |
Output is correct |
37 |
Correct |
26 ms |
38560 KB |
Output is correct |
38 |
Correct |
28 ms |
38480 KB |
Output is correct |
39 |
Correct |
23 ms |
38572 KB |
Output is correct |
40 |
Correct |
21 ms |
38380 KB |
Output is correct |
41 |
Correct |
23 ms |
38600 KB |
Output is correct |
42 |
Correct |
23 ms |
38548 KB |
Output is correct |
43 |
Correct |
22 ms |
38592 KB |
Output is correct |
44 |
Correct |
25 ms |
38488 KB |
Output is correct |
45 |
Correct |
23 ms |
38628 KB |
Output is correct |
46 |
Correct |
23 ms |
38444 KB |
Output is correct |
47 |
Correct |
23 ms |
38452 KB |
Output is correct |
48 |
Correct |
22 ms |
38540 KB |
Output is correct |
49 |
Correct |
24 ms |
38444 KB |
Output is correct |
50 |
Correct |
25 ms |
38364 KB |
Output is correct |
51 |
Correct |
28 ms |
38480 KB |
Output is correct |
52 |
Correct |
23 ms |
38460 KB |
Output is correct |
53 |
Correct |
24 ms |
38412 KB |
Output is correct |
54 |
Correct |
24 ms |
38528 KB |
Output is correct |
55 |
Correct |
21 ms |
38492 KB |
Output is correct |
56 |
Correct |
21 ms |
38380 KB |
Output is correct |
57 |
Correct |
20 ms |
38348 KB |
Output is correct |
58 |
Correct |
22 ms |
38480 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
18 ms |
38232 KB |
Output is correct |
2 |
Correct |
18 ms |
37980 KB |
Output is correct |
3 |
Correct |
19 ms |
38236 KB |
Output is correct |
4 |
Correct |
19 ms |
37976 KB |
Output is correct |
5 |
Correct |
85 ms |
51908 KB |
Output is correct |
6 |
Correct |
86 ms |
51900 KB |
Output is correct |
7 |
Correct |
95 ms |
51792 KB |
Output is correct |
8 |
Correct |
81 ms |
51908 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
18 ms |
38232 KB |
Output is correct |
2 |
Correct |
18 ms |
38236 KB |
Output is correct |
3 |
Correct |
18 ms |
38236 KB |
Output is correct |
4 |
Correct |
19 ms |
38236 KB |
Output is correct |
5 |
Correct |
107 ms |
59324 KB |
Output is correct |
6 |
Correct |
90 ms |
55440 KB |
Output is correct |
7 |
Correct |
100 ms |
57524 KB |
Output is correct |
8 |
Correct |
95 ms |
58316 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
18 ms |
38212 KB |
Output is correct |
2 |
Correct |
19 ms |
38236 KB |
Output is correct |
3 |
Correct |
18 ms |
38080 KB |
Output is correct |
4 |
Correct |
18 ms |
38236 KB |
Output is correct |
5 |
Correct |
22 ms |
38060 KB |
Output is correct |
6 |
Correct |
19 ms |
38236 KB |
Output is correct |
7 |
Correct |
19 ms |
38232 KB |
Output is correct |
8 |
Correct |
19 ms |
38236 KB |
Output is correct |
9 |
Correct |
19 ms |
38236 KB |
Output is correct |
10 |
Correct |
19 ms |
38232 KB |
Output is correct |
11 |
Correct |
19 ms |
38232 KB |
Output is correct |
12 |
Correct |
19 ms |
38232 KB |
Output is correct |
13 |
Correct |
98 ms |
56768 KB |
Output is correct |
14 |
Correct |
102 ms |
56252 KB |
Output is correct |
15 |
Correct |
92 ms |
57280 KB |
Output is correct |
16 |
Correct |
88 ms |
55248 KB |
Output is correct |
17 |
Correct |
100 ms |
57020 KB |
Output is correct |
18 |
Correct |
87 ms |
54460 KB |
Output is correct |
19 |
Correct |
133 ms |
68144 KB |
Output is correct |
20 |
Correct |
155 ms |
69176 KB |
Output is correct |
21 |
Correct |
150 ms |
70428 KB |
Output is correct |
22 |
Correct |
98 ms |
59580 KB |
Output is correct |
23 |
Correct |
172 ms |
70620 KB |
Output is correct |
24 |
Correct |
104 ms |
59848 KB |
Output is correct |
# |
결과 |
실행 시간 |
메모리 |
Grader output |
1 |
Correct |
21 ms |
38236 KB |
Output is correct |
2 |
Correct |
19 ms |
38236 KB |
Output is correct |
3 |
Correct |
20 ms |
38236 KB |
Output is correct |
4 |
Correct |
19 ms |
38220 KB |
Output is correct |
5 |
Correct |
19 ms |
38236 KB |
Output is correct |
6 |
Correct |
18 ms |
38232 KB |
Output is correct |
7 |
Correct |
25 ms |
38396 KB |
Output is correct |
8 |
Correct |
20 ms |
38360 KB |
Output is correct |
9 |
Correct |
19 ms |
38232 KB |
Output is correct |
10 |
Correct |
20 ms |
38420 KB |
Output is correct |
11 |
Correct |
21 ms |
38408 KB |
Output is correct |
12 |
Correct |
19 ms |
38236 KB |
Output is correct |
13 |
Correct |
19 ms |
38236 KB |
Output is correct |
14 |
Correct |
21 ms |
38440 KB |
Output is correct |
15 |
Correct |
18 ms |
38236 KB |
Output is correct |
16 |
Correct |
19 ms |
38232 KB |
Output is correct |
17 |
Correct |
23 ms |
38588 KB |
Output is correct |
18 |
Correct |
20 ms |
38236 KB |
Output is correct |
19 |
Correct |
20 ms |
38348 KB |
Output is correct |
20 |
Correct |
24 ms |
38460 KB |
Output is correct |
21 |
Correct |
20 ms |
38428 KB |
Output is correct |
22 |
Correct |
17 ms |
38296 KB |
Output is correct |
23 |
Correct |
25 ms |
38576 KB |
Output is correct |
24 |
Correct |
18 ms |
38236 KB |
Output is correct |
25 |
Correct |
22 ms |
38448 KB |
Output is correct |
26 |
Correct |
22 ms |
38448 KB |
Output is correct |
27 |
Correct |
22 ms |
38408 KB |
Output is correct |
28 |
Correct |
22 ms |
38116 KB |
Output is correct |
29 |
Correct |
21 ms |
38384 KB |
Output is correct |
30 |
Correct |
18 ms |
38236 KB |
Output is correct |
31 |
Correct |
23 ms |
38436 KB |
Output is correct |
32 |
Correct |
21 ms |
38380 KB |
Output is correct |
33 |
Correct |
21 ms |
38372 KB |
Output is correct |
34 |
Correct |
21 ms |
38400 KB |
Output is correct |
35 |
Correct |
26 ms |
38448 KB |
Output is correct |
36 |
Correct |
21 ms |
38468 KB |
Output is correct |
37 |
Correct |
26 ms |
38560 KB |
Output is correct |
38 |
Correct |
28 ms |
38480 KB |
Output is correct |
39 |
Correct |
23 ms |
38572 KB |
Output is correct |
40 |
Correct |
21 ms |
38380 KB |
Output is correct |
41 |
Correct |
23 ms |
38600 KB |
Output is correct |
42 |
Correct |
23 ms |
38548 KB |
Output is correct |
43 |
Correct |
22 ms |
38592 KB |
Output is correct |
44 |
Correct |
25 ms |
38488 KB |
Output is correct |
45 |
Correct |
23 ms |
38628 KB |
Output is correct |
46 |
Correct |
23 ms |
38444 KB |
Output is correct |
47 |
Correct |
23 ms |
38452 KB |
Output is correct |
48 |
Correct |
22 ms |
38540 KB |
Output is correct |
49 |
Correct |
24 ms |
38444 KB |
Output is correct |
50 |
Correct |
25 ms |
38364 KB |
Output is correct |
51 |
Correct |
28 ms |
38480 KB |
Output is correct |
52 |
Correct |
23 ms |
38460 KB |
Output is correct |
53 |
Correct |
24 ms |
38412 KB |
Output is correct |
54 |
Correct |
24 ms |
38528 KB |
Output is correct |
55 |
Correct |
21 ms |
38492 KB |
Output is correct |
56 |
Correct |
21 ms |
38380 KB |
Output is correct |
57 |
Correct |
20 ms |
38348 KB |
Output is correct |
58 |
Correct |
22 ms |
38480 KB |
Output is correct |
59 |
Correct |
101 ms |
63088 KB |
Output is correct |
60 |
Correct |
95 ms |
60608 KB |
Output is correct |
61 |
Correct |
94 ms |
61184 KB |
Output is correct |
62 |
Correct |
92 ms |
59488 KB |
Output is correct |
63 |
Correct |
93 ms |
62092 KB |
Output is correct |
64 |
Correct |
93 ms |
58240 KB |
Output is correct |
65 |
Correct |
169 ms |
68804 KB |
Output is correct |
66 |
Correct |
257 ms |
70844 KB |
Output is correct |
67 |
Correct |
275 ms |
79320 KB |
Output is correct |
68 |
Correct |
335 ms |
80080 KB |
Output is correct |
69 |
Correct |
457 ms |
81836 KB |
Output is correct |
70 |
Correct |
325 ms |
75536 KB |
Output is correct |
71 |
Correct |
299 ms |
80736 KB |
Output is correct |
72 |
Correct |
827 ms |
97904 KB |
Output is correct |
73 |
Correct |
220 ms |
77584 KB |
Output is correct |
74 |
Correct |
134 ms |
70208 KB |
Output is correct |
75 |
Correct |
507 ms |
83700 KB |
Output is correct |
76 |
Correct |
130 ms |
68756 KB |
Output is correct |
77 |
Correct |
216 ms |
77376 KB |
Output is correct |
78 |
Correct |
948 ms |
89400 KB |
Output is correct |
79 |
Correct |
190 ms |
74492 KB |
Output is correct |
80 |
Correct |
115 ms |
67480 KB |
Output is correct |
81 |
Correct |
823 ms |
97572 KB |
Output is correct |
82 |
Correct |
98 ms |
62656 KB |
Output is correct |
83 |
Correct |
406 ms |
80652 KB |
Output is correct |
84 |
Correct |
415 ms |
78872 KB |
Output is correct |
85 |
Correct |
650 ms |
80564 KB |
Output is correct |
86 |
Correct |
117 ms |
64872 KB |
Output is correct |
87 |
Correct |
708 ms |
80352 KB |
Output is correct |
88 |
Correct |
110 ms |
66288 KB |
Output is correct |
89 |
Correct |
636 ms |
93440 KB |
Output is correct |
90 |
Correct |
927 ms |
91492 KB |
Output is correct |
91 |
Correct |
624 ms |
90684 KB |
Output is correct |
92 |
Correct |
956 ms |
99708 KB |
Output is correct |
93 |
Correct |
796 ms |
105636 KB |
Output is correct |
94 |
Correct |
843 ms |
93636 KB |
Output is correct |
95 |
Correct |
950 ms |
93148 KB |
Output is correct |
96 |
Correct |
721 ms |
102432 KB |
Output is correct |
97 |
Correct |
842 ms |
102152 KB |
Output is correct |
98 |
Correct |
784 ms |
96364 KB |
Output is correct |
99 |
Correct |
619 ms |
93508 KB |
Output is correct |
100 |
Correct |
960 ms |
93572 KB |
Output is correct |
101 |
Correct |
884 ms |
97020 KB |
Output is correct |
102 |
Correct |
440 ms |
79912 KB |
Output is correct |
103 |
Correct |
992 ms |
91604 KB |
Output is correct |
104 |
Correct |
560 ms |
87712 KB |
Output is correct |
105 |
Correct |
946 ms |
94696 KB |
Output is correct |
106 |
Correct |
825 ms |
94124 KB |
Output is correct |
107 |
Correct |
778 ms |
96892 KB |
Output is correct |
108 |
Correct |
913 ms |
97456 KB |
Output is correct |
109 |
Correct |
934 ms |
92364 KB |
Output is correct |
110 |
Correct |
917 ms |
96392 KB |
Output is correct |
111 |
Correct |
835 ms |
99628 KB |
Output is correct |
112 |
Correct |
968 ms |
94772 KB |
Output is correct |
113 |
Correct |
410 ms |
83892 KB |
Output is correct |
114 |
Correct |
431 ms |
83772 KB |
Output is correct |
115 |
Correct |
412 ms |
83960 KB |
Output is correct |
116 |
Correct |
414 ms |
83880 KB |
Output is correct |
117 |
Correct |
868 ms |
163180 KB |
Output is correct |
118 |
Correct |
836 ms |
163148 KB |
Output is correct |
119 |
Correct |
856 ms |
163144 KB |
Output is correct |
120 |
Correct |
874 ms |
163164 KB |
Output is correct |
121 |
Correct |
846 ms |
163120 KB |
Output is correct |
122 |
Correct |
858 ms |
163120 KB |
Output is correct |
123 |
Correct |
877 ms |
163156 KB |
Output is correct |
124 |
Correct |
866 ms |
163044 KB |
Output is correct |
125 |
Correct |
839 ms |
163156 KB |
Output is correct |
126 |
Correct |
845 ms |
163044 KB |
Output is correct |