#include <bits/stdc++.h>
using namespace std;
#define ll long long
#define all(x) (x).begin(),(x).end()
void gtmn(int &x,int y){if(y<x)x=y;}
void gtmx(int &x,int y){if(y>x)x=y;}
vector<pair<int,int>>rec(int n,int k,vector<int>&l,vector<int>&d,vector<int>&r,vector<int>&u,vector<int>&was){
int sx=n+1,sy=n+1,bx=0,by=0;for(int i=0;n>i;++i)if(!was[i]){sx=min(sx,r[i]);bx=max(bx,l[i]);sy=min(sy,u[i]);by=max(by,d[i]);}
//small x,small y,big x,big y
if(sx==n+1)sx=0;if(sy==n+1)sy=0;
//for k=1,(sx,sy) should work
if(k==1){for(int i=0;n>i;++i)if(!was[i])if(!(l[i]<=sx&&sx<=r[i]&&d[i]<=sy&&sy<=u[i]))return {};return {{sx,sy}};}
//for other k values, one of the four options should work
for(int x:{sx,bx})for(int y:{sy,by}){
vector<int>was2=was;
for(int i=0;n>i;++i)if(!was2[i])if(l[i]<=x&&x<=r[i]&&d[i]<=y&&y<=u[i])was2[i]=1;
auto v=rec(n,k-1,l,d,r,u,was2);
if(v.size()){v.push_back({x,y});return v;}
}
return {};
}
int main()
{
int n,k;
cin>>n>>k;
vector<int>l(n),d(n),r(n),u(n);
for(int i=0;n>i;++i)cin>>l[i]>>d[i]>>r[i]>>u[i];
vector<int>indx=l;sort(all(indx));indx.resize(unique(all(indx))-indx.begin());
vector<int>indy=d;sort(all(indy));indy.resize(unique(all(indy))-indy.begin());
for(int i=0;n>i;++i){l[i]=lower_bound(all(indx),l[i])-indx.begin();r[i]=upper_bound(all(indx),r[i])-indx.begin()-1;
d[i]=lower_bound(all(indy),d[i])-indy.begin();u[i]=upper_bound(all(indy),u[i])-indy.begin()-1;
}
vector<int>was(n,0);
vector<pair<int,int>>toz=rec(n,k,l,d,r,u,was);
if(toz.size()){for(auto&[i,j]:toz)cout<<indx[i]<<" "<<indy[j]<<endl;return 0;}
int sx=n+1,sy=n+1,bx=0,by=0;for(int i=0;n>i;++i)if(!was[i]){sx=min(sx,r[i]);bx=max(bx,l[i]);sy=min(sy,u[i]);by=max(by,d[i]);}
int h=indy.size(),w=indx.size();
vector<int>type1(w,h),type2(w,h);
int min_u=h;
vector<int>to_down_st(h,0),to_down_en(h,h);
vector<int>to_left_st(w,0),to_left_en(w,w),to_right_st(w,0),to_right_en(w,w);
vector<int>type3(h,w),type4(h,0);
int min1=sy+1,max1=by-1,min2=sx+1,max2=bx-1,min3=sy+1,max3=by-1,min4=sx+1,max4=bx-1;
for(int i=0;n>i;++i){
bool b1=l[i]<=sx,b2=d[i]<=sy,b3=r[i]>=bx,b4=u[i]>=by;
if(b1+b2+b3+b4>=3)continue;
if(b1+b2+b3+b4==1){
if(b1){min1=max(min1,d[i]);max1=min(max1,u[i]);}
else if(b3){min3=max(min3,d[i]);max3=min(max3,u[i]);}
else if(b2){min2=max(min2,l[i]);max2=min(max2,r[i]);}
else if(b4){min4=max(min4,l[i]);max4=min(max4,r[i]);}
}
else{
if(b1&&b2)gtmn(type1[r[i]+1],u[i]);
else if(b2&&b3)gtmn(type2[l[i]-1],u[i]);
else if(b1&&b4)gtmn(type3[d[i]-1],r[i]);
else if(b3&&b4)gtmx(type4[d[i]-1],l[i]);
else if(b1&&b3){min_u=min(min_u,u[i]);gtmx(to_down_st[d[i]-1],d[i]);gtmn(to_down_en[d[i]-1],u[i]);}
else if(b2&&b4){gtmn(to_left_en[l[i]-1],r[i]);gtmx(to_left_st[l[i]-1],l[i]);
gtmn(to_right_en[r[i]+1],r[i]);gtmx(to_right_st[r[i]+1],l[i]);
}
}
}
for(int i=sx+1;bx>=i;++i){gtmn(type1[i],type1[i-1]);gtmn(to_right_en[i],to_right_en[i-1]);gtmx(to_right_st[i],to_right_st[i-1]);}
for(int i=bx-1;i>=sx;--i){gtmn(type2[i],type2[i+1]);gtmn(to_left_en[i],to_left_en[i+1]);gtmx(to_left_st[i],to_left_st[i+1]);}
for(int i=by-1;i>=sy;--i){gtmn(type3[i],type3[i+1]);gtmx(type4[i],type4[i+1]);
gtmn(to_down_en[i],to_down_en[i+1]);gtmx(to_down_st[i],to_down_st[i+1]);}
for(int num2=min2;max2>=num2;++num2){
int cmax1=min(max1,type1[num2]);
int cmax3=min(max3,type2[num2]);
int cmin4=max({min4,to_right_st[num2],to_left_st[num2]});
int cmax4=min({max4,to_right_en[num2],to_left_en[num2]});
//opt1
int num1=min(cmax1,min_u);
int cmin3=max(min3,to_down_st[num1]);
int num3=min(cmax3,to_down_en[num1]);
if(num3>=cmin3&&num1>=min1){
int ccmin4=max(cmin4,type4[num3]);
int ccmax4=min(cmax4,type3[num1]);
if(ccmax4>=ccmin4){toz={{sx,num1},{num2,sy},{bx,num3},{ccmin4,by}};}
}
//opt2
num3=min(cmax3,min_u);
int cmin1=max(min1,to_down_st[num3]);
num1=min(cmax1,to_down_en[num3]);
if(num3>=min3&&num1>=cmin1){
int ccmin4=max(cmin4,type4[num3]);
int ccmax4=min(cmax4,type3[num1]);
if(ccmax4>=ccmin4){toz={{sx,num1},{num2,sy},{bx,num3},{ccmin4,by}};}
}
}
if(toz.size()){for(auto&[i,j]:toz)cout<<indx[i]<<" "<<indy[j]<<endl;}
// for(auto&[i,j]:toz)cout<<i<<" "<<j<<endl;
//for(int i=0;n>i;++i){bool b=0;for(auto [j,q]:toz)if(l[i]<=j&&j<=r[i]&&d[i]<=q&&q<=u[i])b=1;if(!b)cout<<l[i]<<" "<<d[i]<<" "<<r[i]<<" "<<u[i]<<endl;}
return 0;
}
Compilation message
hamburg.cpp: In function 'std::vector<std::pair<int, int> > rec(int, int, std::vector<int>&, std::vector<int>&, std::vector<int>&, std::vector<int>&, std::vector<int>&)':
hamburg.cpp:11:5: warning: this 'if' clause does not guard... [-Wmisleading-indentation]
11 | if(sx==n+1)sx=0;if(sy==n+1)sy=0;
| ^~
hamburg.cpp:11:21: note: ...this statement, but the latter is misleadingly indented as if it were guarded by the 'if'
11 | if(sx==n+1)sx=0;if(sy==n+1)sy=0;
| ^~
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
348 KB |
Output is correct |
2 |
Correct |
3 ms |
348 KB |
Output is correct |
3 |
Correct |
3 ms |
348 KB |
Output is correct |
4 |
Correct |
3 ms |
464 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
500 KB |
Output is correct |
2 |
Correct |
3 ms |
460 KB |
Output is correct |
3 |
Correct |
3 ms |
600 KB |
Output is correct |
4 |
Correct |
3 ms |
348 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
344 KB |
Output is correct |
2 |
Correct |
3 ms |
348 KB |
Output is correct |
3 |
Correct |
3 ms |
348 KB |
Output is correct |
4 |
Correct |
3 ms |
344 KB |
Output is correct |
5 |
Correct |
3 ms |
348 KB |
Output is correct |
6 |
Correct |
3 ms |
348 KB |
Output is correct |
7 |
Correct |
3 ms |
348 KB |
Output is correct |
8 |
Correct |
3 ms |
348 KB |
Output is correct |
9 |
Correct |
3 ms |
348 KB |
Output is correct |
10 |
Correct |
3 ms |
344 KB |
Output is correct |
11 |
Correct |
4 ms |
348 KB |
Output is correct |
12 |
Correct |
4 ms |
600 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
348 KB |
Output is correct |
2 |
Correct |
3 ms |
472 KB |
Output is correct |
3 |
Correct |
4 ms |
348 KB |
Output is correct |
4 |
Correct |
3 ms |
348 KB |
Output is correct |
5 |
Correct |
3 ms |
348 KB |
Output is correct |
6 |
Correct |
3 ms |
348 KB |
Output is correct |
7 |
Correct |
3 ms |
348 KB |
Output is correct |
8 |
Correct |
3 ms |
348 KB |
Output is correct |
9 |
Correct |
3 ms |
348 KB |
Output is correct |
10 |
Correct |
3 ms |
344 KB |
Output is correct |
11 |
Correct |
3 ms |
348 KB |
Output is correct |
12 |
Correct |
3 ms |
348 KB |
Output is correct |
13 |
Correct |
4 ms |
460 KB |
Output is correct |
14 |
Correct |
4 ms |
348 KB |
Output is correct |
15 |
Correct |
4 ms |
348 KB |
Output is correct |
16 |
Correct |
4 ms |
704 KB |
Output is correct |
17 |
Correct |
5 ms |
604 KB |
Output is correct |
18 |
Correct |
4 ms |
348 KB |
Output is correct |
19 |
Correct |
4 ms |
540 KB |
Output is correct |
20 |
Correct |
5 ms |
600 KB |
Output is correct |
21 |
Correct |
4 ms |
348 KB |
Output is correct |
22 |
Correct |
4 ms |
540 KB |
Output is correct |
23 |
Correct |
5 ms |
604 KB |
Output is correct |
24 |
Correct |
4 ms |
348 KB |
Output is correct |
25 |
Correct |
3 ms |
540 KB |
Output is correct |
26 |
Correct |
4 ms |
348 KB |
Output is correct |
27 |
Correct |
4 ms |
544 KB |
Output is correct |
28 |
Correct |
4 ms |
348 KB |
Output is correct |
29 |
Correct |
4 ms |
448 KB |
Output is correct |
30 |
Correct |
3 ms |
348 KB |
Output is correct |
31 |
Correct |
4 ms |
604 KB |
Output is correct |
32 |
Correct |
4 ms |
604 KB |
Output is correct |
33 |
Correct |
5 ms |
604 KB |
Output is correct |
34 |
Correct |
5 ms |
544 KB |
Output is correct |
35 |
Correct |
5 ms |
604 KB |
Output is correct |
36 |
Correct |
5 ms |
604 KB |
Output is correct |
37 |
Correct |
5 ms |
604 KB |
Output is correct |
38 |
Correct |
4 ms |
604 KB |
Output is correct |
39 |
Correct |
5 ms |
604 KB |
Output is correct |
40 |
Correct |
5 ms |
604 KB |
Output is correct |
41 |
Correct |
5 ms |
548 KB |
Output is correct |
42 |
Correct |
5 ms |
860 KB |
Output is correct |
43 |
Correct |
5 ms |
600 KB |
Output is correct |
44 |
Correct |
4 ms |
536 KB |
Output is correct |
45 |
Correct |
4 ms |
348 KB |
Output is correct |
46 |
Correct |
5 ms |
604 KB |
Output is correct |
47 |
Correct |
5 ms |
604 KB |
Output is correct |
48 |
Correct |
5 ms |
536 KB |
Output is correct |
49 |
Correct |
5 ms |
600 KB |
Output is correct |
50 |
Correct |
5 ms |
604 KB |
Output is correct |
51 |
Correct |
5 ms |
604 KB |
Output is correct |
52 |
Correct |
4 ms |
604 KB |
Output is correct |
53 |
Correct |
5 ms |
608 KB |
Output is correct |
54 |
Correct |
4 ms |
604 KB |
Output is correct |
55 |
Correct |
5 ms |
604 KB |
Output is correct |
56 |
Correct |
5 ms |
448 KB |
Output is correct |
57 |
Correct |
5 ms |
552 KB |
Output is correct |
58 |
Correct |
5 ms |
604 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
348 KB |
Output is correct |
2 |
Correct |
3 ms |
348 KB |
Output is correct |
3 |
Correct |
3 ms |
348 KB |
Output is correct |
4 |
Correct |
3 ms |
464 KB |
Output is correct |
5 |
Correct |
294 ms |
5888 KB |
Output is correct |
6 |
Correct |
304 ms |
5900 KB |
Output is correct |
7 |
Correct |
297 ms |
5712 KB |
Output is correct |
8 |
Correct |
312 ms |
5904 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
500 KB |
Output is correct |
2 |
Correct |
3 ms |
460 KB |
Output is correct |
3 |
Correct |
3 ms |
600 KB |
Output is correct |
4 |
Correct |
3 ms |
348 KB |
Output is correct |
5 |
Correct |
312 ms |
6484 KB |
Output is correct |
6 |
Correct |
308 ms |
6672 KB |
Output is correct |
7 |
Correct |
311 ms |
6484 KB |
Output is correct |
8 |
Correct |
314 ms |
6668 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
344 KB |
Output is correct |
2 |
Correct |
3 ms |
348 KB |
Output is correct |
3 |
Correct |
3 ms |
348 KB |
Output is correct |
4 |
Correct |
3 ms |
344 KB |
Output is correct |
5 |
Correct |
3 ms |
348 KB |
Output is correct |
6 |
Correct |
3 ms |
348 KB |
Output is correct |
7 |
Correct |
3 ms |
348 KB |
Output is correct |
8 |
Correct |
3 ms |
348 KB |
Output is correct |
9 |
Correct |
3 ms |
348 KB |
Output is correct |
10 |
Correct |
3 ms |
344 KB |
Output is correct |
11 |
Correct |
4 ms |
348 KB |
Output is correct |
12 |
Correct |
4 ms |
600 KB |
Output is correct |
13 |
Correct |
314 ms |
7440 KB |
Output is correct |
14 |
Correct |
310 ms |
7404 KB |
Output is correct |
15 |
Correct |
321 ms |
7404 KB |
Output is correct |
16 |
Correct |
327 ms |
7252 KB |
Output is correct |
17 |
Correct |
341 ms |
7432 KB |
Output is correct |
18 |
Correct |
308 ms |
7248 KB |
Output is correct |
19 |
Correct |
316 ms |
7252 KB |
Output is correct |
20 |
Correct |
366 ms |
7440 KB |
Output is correct |
21 |
Correct |
350 ms |
7472 KB |
Output is correct |
22 |
Correct |
335 ms |
7488 KB |
Output is correct |
23 |
Correct |
326 ms |
7476 KB |
Output is correct |
24 |
Correct |
335 ms |
7436 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
3 ms |
348 KB |
Output is correct |
2 |
Correct |
3 ms |
472 KB |
Output is correct |
3 |
Correct |
4 ms |
348 KB |
Output is correct |
4 |
Correct |
3 ms |
348 KB |
Output is correct |
5 |
Correct |
3 ms |
348 KB |
Output is correct |
6 |
Correct |
3 ms |
348 KB |
Output is correct |
7 |
Correct |
3 ms |
348 KB |
Output is correct |
8 |
Correct |
3 ms |
348 KB |
Output is correct |
9 |
Correct |
3 ms |
348 KB |
Output is correct |
10 |
Correct |
3 ms |
344 KB |
Output is correct |
11 |
Correct |
3 ms |
348 KB |
Output is correct |
12 |
Correct |
3 ms |
348 KB |
Output is correct |
13 |
Correct |
4 ms |
460 KB |
Output is correct |
14 |
Correct |
4 ms |
348 KB |
Output is correct |
15 |
Correct |
4 ms |
348 KB |
Output is correct |
16 |
Correct |
4 ms |
704 KB |
Output is correct |
17 |
Correct |
5 ms |
604 KB |
Output is correct |
18 |
Correct |
4 ms |
348 KB |
Output is correct |
19 |
Correct |
4 ms |
540 KB |
Output is correct |
20 |
Correct |
5 ms |
600 KB |
Output is correct |
21 |
Correct |
4 ms |
348 KB |
Output is correct |
22 |
Correct |
4 ms |
540 KB |
Output is correct |
23 |
Correct |
5 ms |
604 KB |
Output is correct |
24 |
Correct |
4 ms |
348 KB |
Output is correct |
25 |
Correct |
3 ms |
540 KB |
Output is correct |
26 |
Correct |
4 ms |
348 KB |
Output is correct |
27 |
Correct |
4 ms |
544 KB |
Output is correct |
28 |
Correct |
4 ms |
348 KB |
Output is correct |
29 |
Correct |
4 ms |
448 KB |
Output is correct |
30 |
Correct |
3 ms |
348 KB |
Output is correct |
31 |
Correct |
4 ms |
604 KB |
Output is correct |
32 |
Correct |
4 ms |
604 KB |
Output is correct |
33 |
Correct |
5 ms |
604 KB |
Output is correct |
34 |
Correct |
5 ms |
544 KB |
Output is correct |
35 |
Correct |
5 ms |
604 KB |
Output is correct |
36 |
Correct |
5 ms |
604 KB |
Output is correct |
37 |
Correct |
5 ms |
604 KB |
Output is correct |
38 |
Correct |
4 ms |
604 KB |
Output is correct |
39 |
Correct |
5 ms |
604 KB |
Output is correct |
40 |
Correct |
5 ms |
604 KB |
Output is correct |
41 |
Correct |
5 ms |
548 KB |
Output is correct |
42 |
Correct |
5 ms |
860 KB |
Output is correct |
43 |
Correct |
5 ms |
600 KB |
Output is correct |
44 |
Correct |
4 ms |
536 KB |
Output is correct |
45 |
Correct |
4 ms |
348 KB |
Output is correct |
46 |
Correct |
5 ms |
604 KB |
Output is correct |
47 |
Correct |
5 ms |
604 KB |
Output is correct |
48 |
Correct |
5 ms |
536 KB |
Output is correct |
49 |
Correct |
5 ms |
600 KB |
Output is correct |
50 |
Correct |
5 ms |
604 KB |
Output is correct |
51 |
Correct |
5 ms |
604 KB |
Output is correct |
52 |
Correct |
4 ms |
604 KB |
Output is correct |
53 |
Correct |
5 ms |
608 KB |
Output is correct |
54 |
Correct |
4 ms |
604 KB |
Output is correct |
55 |
Correct |
5 ms |
604 KB |
Output is correct |
56 |
Correct |
5 ms |
448 KB |
Output is correct |
57 |
Correct |
5 ms |
552 KB |
Output is correct |
58 |
Correct |
5 ms |
604 KB |
Output is correct |
59 |
Correct |
342 ms |
16132 KB |
Output is correct |
60 |
Correct |
306 ms |
15952 KB |
Output is correct |
61 |
Correct |
330 ms |
15968 KB |
Output is correct |
62 |
Correct |
325 ms |
15844 KB |
Output is correct |
63 |
Correct |
311 ms |
15928 KB |
Output is correct |
64 |
Correct |
306 ms |
15956 KB |
Output is correct |
65 |
Correct |
318 ms |
15956 KB |
Output is correct |
66 |
Correct |
342 ms |
15792 KB |
Output is correct |
67 |
Correct |
369 ms |
16008 KB |
Output is correct |
68 |
Correct |
340 ms |
15980 KB |
Output is correct |
69 |
Correct |
337 ms |
15952 KB |
Output is correct |
70 |
Correct |
330 ms |
15948 KB |
Output is correct |
71 |
Correct |
490 ms |
16168 KB |
Output is correct |
72 |
Correct |
510 ms |
21472 KB |
Output is correct |
73 |
Correct |
467 ms |
16020 KB |
Output is correct |
74 |
Correct |
413 ms |
16232 KB |
Output is correct |
75 |
Correct |
475 ms |
21492 KB |
Output is correct |
76 |
Correct |
410 ms |
16020 KB |
Output is correct |
77 |
Correct |
476 ms |
16144 KB |
Output is correct |
78 |
Correct |
523 ms |
21760 KB |
Output is correct |
79 |
Correct |
475 ms |
16020 KB |
Output is correct |
80 |
Correct |
437 ms |
16024 KB |
Output is correct |
81 |
Correct |
509 ms |
21484 KB |
Output is correct |
82 |
Correct |
433 ms |
16020 KB |
Output is correct |
83 |
Correct |
362 ms |
16020 KB |
Output is correct |
84 |
Correct |
377 ms |
16048 KB |
Output is correct |
85 |
Correct |
401 ms |
15944 KB |
Output is correct |
86 |
Correct |
379 ms |
16000 KB |
Output is correct |
87 |
Correct |
385 ms |
16252 KB |
Output is correct |
88 |
Correct |
389 ms |
15956 KB |
Output is correct |
89 |
Correct |
493 ms |
21720 KB |
Output is correct |
90 |
Correct |
496 ms |
21484 KB |
Output is correct |
91 |
Correct |
491 ms |
21496 KB |
Output is correct |
92 |
Correct |
475 ms |
20684 KB |
Output is correct |
93 |
Correct |
490 ms |
21348 KB |
Output is correct |
94 |
Correct |
512 ms |
21476 KB |
Output is correct |
95 |
Correct |
484 ms |
21540 KB |
Output is correct |
96 |
Correct |
487 ms |
21372 KB |
Output is correct |
97 |
Correct |
497 ms |
21608 KB |
Output is correct |
98 |
Correct |
519 ms |
21464 KB |
Output is correct |
99 |
Correct |
464 ms |
21488 KB |
Output is correct |
100 |
Correct |
500 ms |
21452 KB |
Output is correct |
101 |
Correct |
494 ms |
21364 KB |
Output is correct |
102 |
Correct |
472 ms |
21500 KB |
Output is correct |
103 |
Correct |
496 ms |
21356 KB |
Output is correct |
104 |
Correct |
502 ms |
21368 KB |
Output is correct |
105 |
Correct |
504 ms |
21480 KB |
Output is correct |
106 |
Correct |
505 ms |
21716 KB |
Output is correct |
107 |
Correct |
506 ms |
21468 KB |
Output is correct |
108 |
Correct |
498 ms |
21336 KB |
Output is correct |
109 |
Correct |
484 ms |
21448 KB |
Output is correct |
110 |
Correct |
532 ms |
21476 KB |
Output is correct |
111 |
Correct |
547 ms |
21280 KB |
Output is correct |
112 |
Correct |
505 ms |
21488 KB |
Output is correct |
113 |
Correct |
541 ms |
21236 KB |
Output is correct |
114 |
Correct |
493 ms |
21088 KB |
Output is correct |
115 |
Correct |
490 ms |
21160 KB |
Output is correct |
116 |
Correct |
483 ms |
21272 KB |
Output is correct |
117 |
Correct |
469 ms |
16076 KB |
Output is correct |
118 |
Correct |
472 ms |
16100 KB |
Output is correct |
119 |
Correct |
476 ms |
16380 KB |
Output is correct |
120 |
Correct |
469 ms |
16088 KB |
Output is correct |
121 |
Correct |
474 ms |
16104 KB |
Output is correct |
122 |
Correct |
471 ms |
16504 KB |
Output is correct |
123 |
Correct |
481 ms |
16100 KB |
Output is correct |
124 |
Correct |
469 ms |
16080 KB |
Output is correct |
125 |
Correct |
481 ms |
16232 KB |
Output is correct |
126 |
Correct |
486 ms |
16320 KB |
Output is correct |