Submission #744253

#	Time	Username	Problem	Language	Result	Execution time	Memory
744253		jamielim	Izvanzemaljci (COI21_izvanzemaljci)	C++14	26 / 100	42 ms	3552 KiB

izvanzemaljci

#include <bits/stdc++.h>
using namespace std;

#define fi first
#define se second
#define mp make_pair
#define pb emplace_back
#define ALL(x) x.begin(),x.end()
#define SZ(x) (int)x.size()
typedef long long ll;
typedef pair<int,int> ii;
typedef pair<ii,ii> i4;
typedef vector<int> vi;
const int MOD=1000000007;
const int INF=1012345678;
const ll LLINF=1012345678012345678LL;
const double PI=3.1415926536;
const double EPS=1e-14;

int n,k;
vector<ii> all;
int premin[100005];
int premax[100005];
int sufmin[100005];
int sufmax[100005];

vector<ll> find_one_square(vector<ii> v){
	if(SZ(v)==0)return {0,0,1};
	ll minx=LLINF,maxx=-LLINF,miny=LLINF,maxy=-LLINF;
	for(ii i:v){
		minx=min(minx,(ll)i.fi);
		maxx=max(maxx,(ll)i.fi);
		miny=min(miny,(ll)i.se);
		maxy=max(maxy,(ll)i.se);
	}
	ll l=max(1LL,max(maxx-minx,maxy-miny));
	return {minx,miny,l};
}
vector<ll> an[2];
vector<vector<ll> > find_two_squares(vector<ii> v){
	an[0]=find_one_square(v);
	an[1]={2012345678,2012345678,1};
	ll le=an[0][2];
	sort(ALL(v));
	for(int i=0;i<n;i++){
		if(i==0){
			premin[i]=v[i].se;
			premax[i]=v[i].se;
		}else{
			premin[i]=min(premin[i-1],v[i].se);
			premax[i]=max(premax[i-1],v[i].se);
		}
	}
	for(int i=n-1;i>=0;i--){
		if(i==n-1){
			sufmin[i]=v[i].se;
			sufmax[i]=v[i].se;
		}else{
			sufmin[i]=min(sufmin[i+1],v[i].se);
			sufmax[i]=max(sufmax[i+1],v[i].se);
		}
	}
	for(int i=0;i<n-1;i++){
		ll hor=max(max(v[i].fi-v[0].fi,v[n-1].fi-v[i+1].fi),1);
		ll ver=max(max(premax[i]-premin[i],sufmax[i+1]-sufmin[i+1]),1);
		ll l=max(hor,ver);
		if(l<le){
			le=l;
			an[0]={v[i].fi-l,premax[i]-l,l};
			an[1]={v[i+1].fi,sufmin[i+1],l};
		}
	}
	
	for(int i=0;i<n;i++)swap(v[i].fi,v[i].se);
	sort(ALL(v));
	for(int i=0;i<n;i++){
		if(i==0){
			premin[i]=v[i].se;
			premax[i]=v[i].se;
		}else{
			premin[i]=min(premin[i-1],v[i].se);
			premax[i]=max(premax[i-1],v[i].se);
		}
	}
	for(int i=n-1;i>=0;i--){
		if(i==n-1){
			sufmin[i]=v[i].se;
			sufmax[i]=v[i].se;
		}else{
			sufmin[i]=min(sufmin[i+1],v[i].se);
			sufmax[i]=max(sufmax[i+1],v[i].se);
		}
	}
	for(int i=0;i<n-1;i++){
		ll hor=max(max(v[i].fi-v[0].fi,v[n-1].fi-v[i+1].fi),1);
		ll ver=max(max(premax[i]-premin[i],sufmax[i+1]-sufmin[i+1]),1);
		ll l=max(hor,ver);
		if(l<le){
			le=l;
			an[0]={premax[i]-l,v[i].fi-l,l};
			an[1]={sufmin[i+1],v[i+1].fi,l};
		}
	}
	return {an[0],an[1]};
}

bool disjoint(vector<int> v1,vector<int> v2){
	return (v1[0]+v1[2]<v2[0])||(v2[0]+v2[2]<v1[0])||(v1[1]+v1[2]<v2[1])||(v2[1]+v2[2]<v1[1]);
}

int32_t main(){
	scanf("%d%d",&n,&k);
	int x,y;
	for(int i=0;i<n;i++){
		scanf("%d%d",&x,&y);
		all.pb(x,y);
	}
	if(k==1){
		vector<ll> ans=find_one_square(all);
		printf("%lld %lld %lld\n",ans[0],ans[1],ans[2]);
	}else if(k==2){
		vector<vector<ll> > ans=find_two_squares(all);
		for(int i=0;i<2;i++){for(int j=0;j<3;j++)printf("%lld ",ans[i][j]);printf("\n");}
	}else{
		vector<vector<ll> > ans=find_two_squares(all);
		vector<ll> tmp={2012345688,2012345688,1};
		ans.pb(tmp);
		if(n<=2){
			for(int i=0;i<3;i++){for(int j=0;j<3;j++)printf("%lld ",ans[i][j]);printf("\n");}
			return 0;
		}
		vector<vector<ll> > a;
		vector<ii> v;
		
		//printf("1\n");
		sort(ALL(all));
		vector<int> disc;
		for(int i=0;i<n;i++){
			if(i==0)disc.pb(i);
			else if(all[i].fi>all[i-1].fi)disc.pb(i);
		}
		int pmin[n],pmax[n];
		for(int i=0;i<n;i++){
			if(i==0){pmin[i]=all[i].se;pmax[i]=all[i].se;}
			else{pmin[i]=min(pmin[i-1],all[i].se);pmax[i]=max(pmax[i-1],all[i].se);}
		}
		int l=1,r=SZ(disc)-1;
		while(l<r){
			//printf("%d %d\n",l,r);
			int m=(l+r+1)/2;
			int idx=disc[m];
			v.clear();
			for(int i=idx;i<n;i++)v.pb(all[i]);
			a=find_two_squares(v);
			int L=max(max(all[idx-1].fi-all[0].fi,pmax[idx-1]-pmin[idx-1]),1);
			if(L>max(a[0][2],a[1][2]))r=m-1;
			else l=m;
		}
		for(int m=l;m<=l+1;m++){
			int idx=disc[m];
			v.clear();
			for(int i=idx;i<n;i++)v.pb(all[i]);
			a=find_two_squares(v);
			ll L=max(max(all[idx-1].fi-all[0].fi,pmax[idx-1]-pmin[idx-1]),1);
			ll maxl=max(L,max(a[0][2],a[1][2]));
			if(maxl<max(max(ans[0][2],ans[1][2]),ans[2][2])){
				ans[0]=a[0];
				ans[1]=a[1];
				ans[2]={all[idx-1].fi-L,pmin[idx-1],L};
			}
		}
		
		//printf("2\n");
		for(int i=0;i<n;i++)all[i].fi=-all[i].fi;
		sort(ALL(all));
		disc.clear();
		for(int i=0;i<n;i++){
			if(i==0)disc.pb(i);
			else if(all[i].fi>all[i-1].fi)disc.pb(i);
		}
		for(int i=0;i<n;i++){
			if(i==0){pmin[i]=all[i].se;pmax[i]=all[i].se;}
			else{pmin[i]=min(pmin[i-1],all[i].se);pmax[i]=max(pmax[i-1],all[i].se);}
		}
		l=1;r=SZ(disc)-1;
		while(l<r){
			int m=(l+r+1)/2;
			int idx=disc[m];
			v.clear();
			for(int i=idx;i<n;i++)v.pb(-all[i].fi,all[i].se);
			a=find_two_squares(v);
			int L=max(max(all[idx-1].fi-all[0].fi,pmax[idx-1]-pmin[idx-1]),1);
			if(L>max(a[0][2],a[1][2]))r=m-1;
			else l=m;
		}
		for(int m=l;m<=l+1;m++){
			int idx=disc[m];
			v.clear();
			for(int i=idx;i<n;i++)v.pb(-all[i].fi,all[i].se);
			a=find_two_squares(v);
			ll L=max(max(all[idx-1].fi-all[0].fi,pmax[idx-1]-pmin[idx-1]),1);
			ll maxl=max(L,max(a[0][2],a[1][2]));
			if(maxl<max(max(ans[0][2],ans[1][2]),ans[2][2])){
				ans[0]=a[0];
				ans[1]=a[1];
				ans[2]={-all[idx-1].fi,pmin[idx-1],L};
			}
		}
		
		//printf("3\n");
		for(int i=0;i<n;i++){all[i].fi=-all[i].fi;swap(all[i].fi,all[i].se);}
		sort(ALL(all));
		disc.clear();
		for(int i=0;i<n;i++){
			if(i==0)disc.pb(i);
			else if(all[i].fi>all[i-1].fi)disc.pb(i);
		}
		for(int i=0;i<n;i++){
			if(i==0){pmin[i]=all[i].se;pmax[i]=all[i].se;}
			else{pmin[i]=min(pmin[i-1],all[i].se);pmax[i]=max(pmax[i-1],all[i].se);}
		}
		l=1,r=SZ(disc)-1;
		while(l<r){
			int m=(l+r+1)/2;
			int idx=disc[m];
			v.clear();
			for(int i=idx;i<n;i++)v.pb(all[i].se,all[i].fi);
			a=find_two_squares(v);
			int L=max(max(all[idx-1].fi-all[0].fi,pmax[idx-1]-pmin[idx-1]),1);
			if(L>max(a[0][2],a[1][2]))r=m-1;
			else l=m;
		}
		for(int m=l;m<=l+1;m++){
			int idx=disc[m];
			v.clear();
			for(int i=idx;i<n;i++)v.pb(all[i].se,all[i].fi);
			a=find_two_squares(v);
			ll L=max(max(all[idx-1].fi-all[0].fi,pmax[idx-1]-pmin[idx-1]),1);
			ll maxl=max(L,max(a[0][2],a[1][2]));
			if(maxl<max(max(ans[0][2],ans[1][2]),ans[2][2])){
				ans[0]=a[0];
				ans[1]=a[1];
				ans[2]={pmin[idx-1],all[idx-1].fi-L,L};
			}
		}
		
		//printf("4\n");
		for(int i=0;i<n;i++)all[i].fi=-all[i].fi;
		sort(ALL(all));
		disc.clear();
		for(int i=0;i<n;i++){
			if(i==0)disc.pb(i);
			else if(all[i].fi>all[i-1].fi)disc.pb(i);
		}
		for(int i=0;i<n;i++){
			if(i==0){pmin[i]=all[i].se;pmax[i]=all[i].se;}
			else{pmin[i]=min(pmin[i-1],all[i].se);pmax[i]=max(pmax[i-1],all[i].se);}
		}
		l=1;r=SZ(disc)-1;
		while(l<r){
			int m=(l+r+1)/2;
			int idx=disc[m];
			v.clear();
			for(int i=idx;i<n;i++)v.pb(all[i].se,-all[i].fi);
			a=find_two_squares(v);
			int L=max(max(all[idx-1].fi-all[0].fi,pmax[idx-1]-pmin[idx-1]),1);
			if(L>max(a[0][2],a[1][2]))r=m-1;
			else l=m;
		}
		for(int m=l;m<=l+1;m++){
			int idx=disc[m];
			v.clear();
			for(int i=idx;i<n;i++)v.pb(all[i].se,-all[i].fi);
			a=find_two_squares(v);
			ll L=max(max(all[idx-1].fi-all[0].fi,pmax[idx-1]-pmin[idx-1]),1);
			ll maxl=max(L,max(a[0][2],a[1][2]));
			if(maxl<max(max(ans[0][2],ans[1][2]),ans[2][2])){
				ans[0]=a[0];
				ans[1]=a[1];
				ans[2]={pmin[idx-1],-all[idx-1].fi,L};
			}
		}
		
		for(int i=0;i<3;i++){for(int j=0;j<3;j++)printf("%lld ",ans[i][j]);printf("\n");}
	}
}
/*
5 2
1 3
3 1
5 5
5 10
7 7

5 3
1 3
3 1
5 5
5 10
7 7
*/

Compilation message (stderr)

izvanzemaljci.cpp: In function 'int32_t main()':
izvanzemaljci.cpp:112:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  112 |  scanf("%d%d",&n,&k);
      |  ~~~~~^~~~~~~~~~~~~~
izvanzemaljci.cpp:115:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  115 |   scanf("%d%d",&x,&y);
      |   ~~~~~^~~~~~~~~~~~~~

• Subtask 1: 5 / 5
• Subtask 2: 21 / 21
• Subtask 3: 0 / 12
• Subtask 4: 0 / 30
• Subtask 5: 0 / 32