oj.uz

답안 #744470

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
744470 2023-05-18T15:25:54 Z jamielim Izvanzemaljci (COI21_izvanzemaljci) C++14
26 / 100
 3000 ms 4964 KB 
#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<ii> one_input;
inline vector<ll> find_one_square(){
	if(SZ(one_input)==0)return {0,0,1};
	ll minx=LLINF,maxx=-LLINF,miny=LLINF,maxy=-LLINF;
	for(ii i:one_input){
		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<ii> two_input;
inline vector<vector<ll> > find_two_squares(){
	one_input=two_input;
	an[0]=find_one_square();
	an[1]={2012345678,2012345678,1};
	ll le=an[0][2];
	sort(ALL(two_input));
	for(int i=0;i<n;i++){
		if(i==0){
			premin[i]=two_input[i].se;
			premax[i]=two_input[i].se;
		}else{
			premin[i]=min(premin[i-1],two_input[i].se);
			premax[i]=max(premax[i-1],two_input[i].se);
		}
	}
	for(int i=n-1;i>=0;i--){
		if(i==n-1){
			sufmin[i]=two_input[i].se;
			sufmax[i]=two_input[i].se;
		}else{
			sufmin[i]=min(sufmin[i+1],two_input[i].se);
			sufmax[i]=max(sufmax[i+1],two_input[i].se);
		}
	}
	for(int i=0;i<n-1;i++){
		ll l1=max(max(two_input[i].fi-two_input[0].fi,premax[i]-premin[i]),1);
		ll l2=max(max(sufmax[i+1]-sufmin[i+1],two_input[n-1].fi-two_input[i+1].fi),1);
		ll l=max(l1,l2);
		if(l<le){
			le=l;
			an[0]={two_input[i].fi-l1,premin[i],l1};
			an[1]={two_input[i+1].fi,sufmin[i+1],l2};
		}
	}
	
	for(int i=0;i<n;i++)swap(two_input[i].fi,two_input[i].se);
	sort(ALL(two_input));
	for(int i=0;i<n;i++){
		if(i==0){
			premin[i]=two_input[i].se;
			premax[i]=two_input[i].se;
		}else{
			premin[i]=min(premin[i-1],two_input[i].se);
			premax[i]=max(premax[i-1],two_input[i].se);
		}
	}
	for(int i=n-1;i>=0;i--){
		if(i==n-1){
			sufmin[i]=two_input[i].se;
			sufmax[i]=two_input[i].se;
		}else{
			sufmin[i]=min(sufmin[i+1],two_input[i].se);
			sufmax[i]=max(sufmax[i+1],two_input[i].se);
		}
	}
	for(int i=0;i<n-1;i++){
		ll l1=max(max(two_input[i].fi-two_input[0].fi,premax[i]-premin[i]),1);
		ll l2=max(max(sufmax[i+1]-sufmin[i+1],two_input[n-1].fi-two_input[i+1].fi),1);
		ll l=max(l1,l2);
		if(l<le){
			le=l;
			an[0]={premin[i],two_input[i].fi-l1,l1};
			an[1]={sufmin[i+1],two_input[i+1].fi,l2};
		}
	}
	for(int i=0;i<n;i++)swap(two_input[i].fi,two_input[i].se);
	return {an[0],an[1]};
}
inline vector<vector<ll> > find_two_part(){
	// top right and bottom right
	one_input=two_input;
	an[0]=find_one_square();
	an[1]={2012345678,2012345678,1};
	ll le=an[0][2];
	for(int i=0;i<n;i++)swap(two_input[i].fi,two_input[i].se);
	sort(ALL(two_input));
	for(int i=0;i<n;i++){
		if(i==0){
			premin[i]=two_input[i].se;
			premax[i]=two_input[i].se;
		}else{
			premin[i]=min(premin[i-1],two_input[i].se);
			premax[i]=max(premax[i-1],two_input[i].se);
		}
	}
	for(int i=n-1;i>=0;i--){
		if(i==n-1){
			sufmin[i]=two_input[i].se;
			sufmax[i]=two_input[i].se;
		}else{
			sufmin[i]=min(sufmin[i+1],two_input[i].se);
			sufmax[i]=max(sufmax[i+1],two_input[i].se);
		}
	}
	for(int i=0;i<n-1;i++){
		ll l1=max(max(two_input[i].fi-two_input[0].fi,premax[i]-premin[i]),1);
		ll l2=max(max(sufmax[i+1]-sufmin[i+1],two_input[n-1].fi-two_input[i+1].fi),1);
		ll l=max(l1,l2);
		if(l<le){
			le=l;
			an[0]={premin[i],two_input[i].fi-l1,l1};
			an[1]={sufmin[i+1],two_input[i+1].fi,l2};
		}
	}

	for(int i=0;i<n;i++)swap(two_input[i].fi,two_input[i].se);
	return {an[0],an[1]};
}
vector<ii> par_input;
inline vector<vector<ll> > parallel(){
	vector<int> disc;
	for(int i=0;i<n;i++){
		if(i==0)disc.pb(i);
		else if(par_input[i].fi>par_input[i-1].fi)disc.pb(i);
	}
	int pmin[n],pmax[n],smin[n],smax[n];
	for(int i=0;i<n;i++){
		if(i==0)pmin[i]=pmax[i]=par_input[i].se;
		else pmin[i]=min(pmin[i-1],par_input[i].se),pmax[i]=max(pmax[i-1],par_input[i].se);
	}
	for(int i=n-1;i>=0;i--){
		if(i==n-1)smin[i]=smax[i]=par_input[i].se;
		else smin[i]=min(smin[i+1],par_input[i].se),smax[i]=max(smax[i+1],par_input[i].se);
	}
	int l=1,r=2*INF;
	while(l<r){
		int m=(l+r)/2;
		int idx1=-1;
		for(int i=1;i<SZ(disc);i++){
			int cur=disc[i]-1;
			if(max(pmax[cur]-pmin[cur],par_input[cur].fi-par_input[0].fi)<=m){
				idx1=cur;
			}else break;
		}
		
		int idx3=n;
		for(int i=SZ(disc)-1;i>=0;i--){
			int cur=disc[i];
			if(max(smax[cur]-smin[cur],par_input[n-1].fi-par_input[cur].fi)<=m){
				idx3=cur;
			}else break;
		}
		
		int mn=2*INF,mx=-2*INF;
		for(int i=idx1+1;i<=idx3-1;i++){
			mn=min(mn,par_input[i].se);
			mx=max(mx,par_input[i].se);
		}
		if(mn>mx)r=m;
		else if(mx-mn<=par_input[idx3].fi-1-par_input[idx1].fi+1&&
				max(mx-mn,par_input[idx3-1].fi-par_input[idx1+1].fi)<=m)r=m;
		else l=m+1;
	}
	
	int idx1=-1;
	for(int i=1;i<SZ(disc);i++){
		int cur=disc[i]-1;
		if(max(pmax[cur]-pmin[cur],par_input[cur].fi-par_input[0].fi)<=l){
			idx1=cur;
		}else break;
	}
	int l1=max(1,max(pmax[idx1]-pmin[idx1],par_input[idx1].fi-par_input[0].fi));
	int x1=par_input[idx1].fi-l1,y1=pmin[idx1];
	
	int idx3=n;
	for(int i=SZ(disc)-1;i>=0;i--){
		int cur=disc[i];
		if(max(smax[cur]-smin[cur],par_input[n-1].fi-par_input[cur].fi)<=l){
			idx3=cur;
		}else break;
	}
	int l3=max(1,max(smax[idx3]-smin[idx3],par_input[n-1].fi-par_input[idx3].fi));
	int x3=par_input[idx3].fi,y3=smin[idx3];
	
	int mn=2*INF,mx=-2*INF;
	for(int i=idx1+1;i<=idx3-1;i++){
		mn=min(mn,par_input[i].se);
		mx=max(mx,par_input[i].se);
	}
	int l2=max(mx-mn,par_input[idx3-1].fi-par_input[idx1+1].fi);
	int x2=min(par_input[idx3].fi-1-l2,par_input[idx1+1].fi);
	
	return {{x1,y1,l1},{x2,mn,l2},{x3,y3,l3}};
}

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){
		one_input=all;
		vector<ll> ans=find_one_square();
		printf("%lld %lld %lld\n",ans[0],ans[1],ans[2]);
	}else if(k==2){
		two_input=all;
		vector<vector<ll> > ans=find_two_squares();
		for(int i=0;i<2;i++){for(int j=0;j<3;j++)printf("%lld ",ans[i][j]);printf("\n");}
	}else{
		two_input=all;
		vector<vector<ll> > ans=find_two_squares();
		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]);
			two_input=v;
			a=find_two_part();
			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]);
			two_input=v;
			a=find_two_part();
			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};
			}
		}
		
		//1b: parallel
		par_input=all;
		a=parallel();
		if(max(max(a[0][2],a[1][2]),a[2][2])<max(max(ans[0][2],ans[1][2]),ans[2][2])){
			ans[0]=a[0];ans[1]=a[1];ans[2]=a[2];
		}
		
		//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]);
			two_input=v;
			a=find_two_part();
			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]);
			two_input=v;
			a=find_two_part();
			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])){
				a[0][0]=-a[0][0];a[1][0]=-a[1][0];
				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]);
			two_input=v;
			a=find_two_part();
			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]);
			two_input=v;
			a=find_two_part();
			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])){
				swap(a[0][0],a[0][1]);swap(a[1][0],a[1][1]);
				ans[0]=a[0];
				ans[1]=a[1];
				ans[2]={pmin[idx-1],all[idx-1].fi-L,L};
			}
		}
		
		// 3b: parallel
		par_input=all;
		a=parallel();
		if(max(max(a[0][2],a[1][2]),a[2][2])<max(max(ans[0][2],ans[1][2]),ans[2][2])){
			swap(a[0][0],a[0][1]);swap(a[1][0],a[1][1]);swap(a[2][0],a[2][1]);
			ans[0]=a[0];ans[1]=a[1];ans[2]=a[2];
		}
		
		//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]);
			two_input=v;
			a=find_two_part();
			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]);
			two_input=v;
			a=find_two_part();
			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])){
				a[0][0]=-a[0][0];a[1][0]=-a[1][0];
				swap(a[0][0],a[0][1]);swap(a[1][0],a[1][1]);
				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

izvanzemaljci.cpp: In function 'int32_t main()':
izvanzemaljci.cpp:228:7: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  228 |  scanf("%d%d",&n,&k);
      |  ~~~~~^~~~~~~~~~~~~~
izvanzemaljci.cpp:231:8: warning: ignoring return value of 'int scanf(const char*, ...)' declared with attribute 'warn_unused_result' [-Wunused-result]
  231 |   scanf("%d%d",&x,&y);
      |   ~~~~~^~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 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 33 ms 2552 KB Output is correct
8 Correct 33 ms 2492 KB Output is correct
9 Correct 27 ms 2628 KB Output is correct
10 Correct 37 ms 2696 KB Output is correct
11 Correct 31 ms 2512 KB Output is correct

Subtask #2
21.0 / 21.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 308 KB Output is correct
2 Correct 1 ms 304 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 304 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 308 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 1 ms 212 KB Output is correct
10 Correct 47 ms 4936 KB Output is correct
11 Correct 49 ms 4948 KB Output is correct
12 Correct 53 ms 4880 KB Output is correct
13 Correct 47 ms 4940 KB Output is correct
14 Correct 55 ms 4840 KB Output is correct
15 Correct 58 ms 4940 KB Output is correct
16 Correct 53 ms 4964 KB Output is correct
17 Correct 43 ms 4448 KB Output is correct
18 Correct 45 ms 4268 KB Output is correct
19 Correct 49 ms 3984 KB Output is correct
20 Correct 44 ms 4204 KB Output is correct
21 Correct 51 ms 4888 KB Output is correct
22 Correct 53 ms 4876 KB Output is correct
23 Correct 55 ms 4836 KB Output is correct

Subtask #3
0 / 12.0

# 결과 실행 시간 메모리 Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 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 256 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 304 KB Output is correct
8 Execution timed out 3050 ms 212 KB Time limit exceeded
9 Halted 0 ms 0 KB -

Subtask #4
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Execution timed out 3020 ms 336 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 32.0

# 결과 실행 시간 메모리 Grader output
1 Execution timed out 3063 ms 340 KB Time limit exceeded
2 Halted 0 ms 0 KB -