#include<bits/stdc++.h>
using namespace std;
using ll=long long;
using ld=long double;
using pii=pair<ll,ll>;
#define f first
#define s second
#define pb push_back
#define REP(i,n) for(int i=0;i<n;i++)
#define REP1(i,n) for(int i=1;i<=n;i++)
#define FILL(n,x) memset(n,x,sizeof(n))
#define ALL(_a) _a.begin(),_a.end()
#define sz(x) (int)x.size()
#define SORT_UNIQUE(c) (sort(c.begin(),c.end()),c.resize(distance(c.begin(),unique(c.begin(),c.end()))))
const ll maxn=2e5+5;
const ll maxlg=__lg(maxn)+2;
const ll INF64=4e18;
const int INF=0x3f3f3f3f;
const int MOD=1e9+7;
const ld PI=acos(-1);
const ld eps=1e-4;
#define lowb(x) x&(-x)
#define MNTO(x,y) x=min(x,(__typeof__(x))y)
#define MXTO(x,y) x=max(x,(__typeof__(x))y)
pii arr[maxn];
int n,k;
bool splx;
pii pmn,pmx;
bool wk(int mid){
vector<int> va,vb,bth;
REP(i,n){
if(arr[i].f-arr[0].f>mid and arr[n-1].f-arr[i].f>mid){
return false;
}
if(arr[i].f-arr[0].f<=mid and arr[n-1].f-arr[i].f<=mid){
bth.pb(arr[i].s);
}
else if(arr[i].f-arr[0].f<=mid){
va.pb(arr[i].s);
}
else{
vb.pb(arr[i].s);
}
}
sort(ALL(va)),sort(ALL(vb)),sort(ALL(bth));
REP(a,2){
int mn=INF,mx=-INF;
if(sz(va)) mn=va[0],mx=va.back();
int p=-1;
int pv=mn;
REP(i,sz(bth)){
MNTO(mn,bth[i]),MXTO(mx,bth[i]);
if(mx-mn>mid) break;
pv=mn;
p=i;
}
int asd=pv;
mn=INF,mx=-INF;
if(sz(vb)) mn=vb[0],mx=vb.back();
for(int i=p+1;i<sz(bth);i++){
MNTO(mn,bth[i]),MXTO(mx,bth[i]);
}
if(mx-mn<=mid){
pmn={arr[0].f,asd},pmx={arr[n-1].f-mid,mn};
if(a==1){
swap(pmn.f,pmx.f);
}
return true;
}
swap(va,vb);
}
return false;
}
int main(){
cin>>n>>k;
REP(i,n){
cin>>arr[i].f>>arr[i].s;
}
vector<int> vx,vy;
REP(i,n) vx.pb(arr[i].f),vy.pb(arr[i].s);
sort(ALL(vx)),sort(ALL(vy));
if(vx.back()-vx[0]>vy.back()-vy[0]) splx=1;
else{
splx=0;
REP(i,n) swap(arr[i].f,arr[i].s);
}
sort(arr,arr+n);
if(k==1){
cout<<vx[0]<<' '<<vy[0]<<' '<<max({1,vx.back()-vx[0],vy.back()-vy[0]});
return 0;
}
ll l=1,r=INT_MAX;
while(l<r){
int mid=(l+r)/2;
if(wk(mid)) r=mid;
else l=mid+1;
}
wk(l);
assert(pmx.s-pmn.s>l);
if(!splx){
swap(pmn.f,pmn.s),swap(pmx.f,pmx.s);
REP(i,n) swap(arr[i].f,arr[i].s);
}
cout<<pmn.f<<' '<<pmn.s<<' '<<l<<'\n';
cout<<pmx.f<<' '<<pmx.s<<' '<<l<<'\n';
REP(i,n) assert(max(arr[i].f-pmn.f,arr[i].s-pmn.s)<=l or max(arr[i].f-pmx.f,arr[i].s-pmx.s)<=l);
}
/*
4 2
-1000000000 -1000000000
-1000000000 1000000000
1000000000 -1000000000
1000000000 1000000000
*/
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
0 ms |
212 KB |
Output is correct |
2 |
Correct |
0 ms |
212 KB |
Output is correct |
3 |
Correct |
1 ms |
212 KB |
Output is correct |
4 |
Correct |
1 ms |
212 KB |
Output is correct |
5 |
Correct |
1 ms |
212 KB |
Output is correct |
6 |
Correct |
1 ms |
212 KB |
Output is correct |
7 |
Correct |
109 ms |
2852 KB |
Output is correct |
8 |
Correct |
112 ms |
2796 KB |
Output is correct |
9 |
Correct |
99 ms |
2840 KB |
Output is correct |
10 |
Correct |
96 ms |
2784 KB |
Output is correct |
11 |
Correct |
98 ms |
2808 KB |
Output is correct |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Correct |
1 ms |
212 KB |
Output is correct |
2 |
Runtime error |
1 ms |
468 KB |
Execution killed with signal 6 |
3 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Incorrect |
1 ms |
212 KB |
Unexpected end of file - int64 expected |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
3 ms |
468 KB |
Execution killed with signal 6 |
2 |
Halted |
0 ms |
0 KB |
- |
# |
Verdict |
Execution time |
Memory |
Grader output |
1 |
Runtime error |
4 ms |
464 KB |
Execution killed with signal 6 |
2 |
Halted |
0 ms |
0 KB |
- |