oj.uz

Submission #386738

# Submission time Handle Problem Language Result Execution time Memory
386738 2021-04-07T08:54:02 Z ogibogi2004 Road Construction (JOI21_road_construction) C++14
65 / 100
 10000 ms 57692 KB 
#include<bits/stdc++.h>
using namespace std;
#define ll long long
const int MAXN=250009;
const ll INF=4e9;
const int INF1=2e9+2000;
int n,k;
vector<ll>output;
struct point
{
	ll x,y;
	bool operator<(point const& other)const
	{
		return make_pair(x,y)<make_pair(other.x,other.y);
	}
};
struct BIT
{
	int t[MAXN];
	void init()
	{
		for(int i=0;i<MAXN;++i)t[i]=0;
	}
	void update(int idx,int val)
	{
		++idx;
		for(;idx<MAXN;idx+=idx&(-idx))
		{
			t[idx]+=val;
		}
	}
	int query(int idx)
	{
		++idx;
		int ret=0;
		for(;idx>0;idx-=idx&(-idx))
		{
			ret+=t[idx];
		}
		return ret;
	}
	int query(int l,int r)
	{
		return query(r)-query(l-1);
	}
}fen;
vector<point>v;
map<int,int>compressed_y;
map<int,int>compressed_x;
set<ll>xs;
set<ll>ys;
bool ok(ll d)
{
	fen.init();
	int last_deleted=-1;
	int cnt=0;
	for(int i=0;i<v.size();++i)
	{
		while(v[last_deleted+1].x+d<v[i].x)
		{
			++last_deleted;
			fen.update(compressed_y[v[last_deleted].y],-1);
		}
		map<int,int>::iterator l=compressed_y.lower_bound(max((ll)-INF1,v[i].y-d));
		map<int,int>::iterator r=compressed_y.lower_bound(min((ll)INF1,v[i].y+d+1));
		--r;
		cnt+=fen.query((*l).second,(*r).second);
		if(cnt>=k||i==v.size()-1)break;
		fen.update(compressed_y[v[i].y],1);
	}
	//cout<<d<<" "<<cnt<<endl;
	return cnt>=k;
}
void find(ll d)
{
	fen.init();
	int last_deleted=-1;
	set<pair<ll,ll> >s;
	for(int i=0;i<v.size();++i)
	{
		//cout<<i<<":\n";
		while(v[last_deleted+1].x+d<v[i].x)
		{
			++last_deleted;
			s.erase({v[last_deleted].y,v[last_deleted].x});
		}
		set<pair<ll,ll> >::iterator it=s.lower_bound({v[i].y-d,-INF});
		for(;it!=s.end();++it)
		{
			if((*it).first>v[i].y+d)break;
			//cout<<(*it).first<<" "<<(*it).second<<" "<<v[i].x<<" "<<v[i].y<<endl;
			output.push_back(max(abs((*it).first-v[i].y),abs((*it).second-v[i].x)));
		}
		s.insert({v[i].y,v[i].x});
	}
	sort(output.begin(),output.end());
}
int x,y;
int main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);cout.tie(NULL);
	cin>>n>>k;
	for(int i=1;i<=n;++i)
	{
		cin>>x>>y;
		v.push_back({x+y,x-y});
		xs.insert(v.back().x);
		ys.insert(v.back().y);
	}
	xs.insert(-INF1);
	xs.insert(INF1);
	ys.insert(-INF1);
	ys.insert(INF1);
	int cnt=0;
	for(auto xd:xs)
	{
		++cnt;
		compressed_x[xd]=cnt;
	}
	cnt=0;
	for(auto xd:ys)
	{
		++cnt;
		compressed_y[xd]=cnt;
	}
	sort(v.begin(),v.end());
	/*cout<<"v:\n";
	for(auto xd:v)
	{
		cout<<xd.x<<" "<<xd.y<<endl;
	}
	cout<<endl<<endl;*/
	ll low=1,high=INF-1,mid,ans=INF;
	while(low<=high)
	{
		mid=(low+high)/2;
		if(ok(mid))
		{
			ans=mid;
			high=mid-1;
		}
		else low=mid+1;
	}
	//cout<<ans<<endl;
	find(ans-1);
	//cout<<output.size()<<endl;
	for(int i=0;i<output.size()&&i<k;++i)cout<<output[i]<<'\n';
	//cout<<(ll)k-(ll)output.size()<<endl;
	for(int i=0;i<(ll)k-(ll)output.size();++i)cout<<ans<<'\n';
return 0;
}

Compilation message

road_construction.cpp: In function 'bool ok(long long int)':
road_construction.cpp:57:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<point>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   57 |  for(int i=0;i<v.size();++i)
      |              ~^~~~~~~~~
road_construction.cpp:68:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<point>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   68 |   if(cnt>=k||i==v.size()-1)break;
      |              ~^~~~~~~~~~~~
road_construction.cpp: In function 'void find(long long int)':
road_construction.cpp:79:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<point>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   79 |  for(int i=0;i<v.size();++i)
      |              ~^~~~~~~~~
road_construction.cpp: In function 'int main()':
road_construction.cpp:148:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  148 |  for(int i=0;i<output.size()&&i<k;++i)cout<<output[i]<<'\n';
      |              ~^~~~~~~~~~~~~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 6156 KB Output is correct
2 Correct 68 ms 6236 KB Output is correct
3 Correct 65 ms 6252 KB Output is correct
4 Correct 59 ms 6252 KB Output is correct
5 Correct 60 ms 5084 KB Output is correct
6 Correct 8 ms 1388 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 2326 ms 57588 KB Output is correct
2 Correct 2345 ms 57692 KB Output is correct
3 Correct 60 ms 6124 KB Output is correct
4 Correct 2150 ms 57300 KB Output is correct
5 Correct 2017 ms 57556 KB Output is correct
6 Correct 1912 ms 57416 KB Output is correct
7 Correct 1828 ms 56740 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 4261 ms 52308 KB Output is correct
2 Correct 5097 ms 52308 KB Output is correct
3 Correct 6 ms 1260 KB Output is correct
4 Correct 1710 ms 52308 KB Output is correct
5 Correct 658 ms 5588 KB Output is correct

Subtask #4
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 4261 ms 52308 KB Output is correct
2 Correct 5097 ms 52308 KB Output is correct
3 Correct 6 ms 1260 KB Output is correct
4 Correct 1710 ms 52308 KB Output is correct
5 Correct 658 ms 5588 KB Output is correct
6 Correct 5716 ms 52308 KB Output is correct
7 Correct 5696 ms 52308 KB Output is correct
8 Correct 5 ms 1260 KB Output is correct
9 Correct 6 ms 1260 KB Output is correct
10 Correct 5549 ms 48468 KB Output is correct
11 Correct 1375 ms 52180 KB Output is correct
12 Correct 818 ms 5544 KB Output is correct

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 6156 KB Output is correct
2 Correct 68 ms 6236 KB Output is correct
3 Correct 65 ms 6252 KB Output is correct
4 Correct 59 ms 6252 KB Output is correct
5 Correct 60 ms 5084 KB Output is correct
6 Correct 8 ms 1388 KB Output is correct
7 Correct 3445 ms 25860 KB Output is correct
8 Correct 3569 ms 25860 KB Output is correct
9 Correct 60 ms 6252 KB Output is correct
10 Correct 2310 ms 22768 KB Output is correct
11 Correct 1592 ms 21404 KB Output is correct
12 Correct 485 ms 5028 KB Output is correct
13 Correct 500 ms 6380 KB Output is correct

Subtask #6
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 6156 KB Output is correct
2 Correct 68 ms 6236 KB Output is correct
3 Correct 65 ms 6252 KB Output is correct
4 Correct 59 ms 6252 KB Output is correct
5 Correct 60 ms 5084 KB Output is correct
6 Correct 8 ms 1388 KB Output is correct
7 Correct 2326 ms 57588 KB Output is correct
8 Correct 2345 ms 57692 KB Output is correct
9 Correct 60 ms 6124 KB Output is correct
10 Correct 2150 ms 57300 KB Output is correct
11 Correct 2017 ms 57556 KB Output is correct
12 Correct 1912 ms 57416 KB Output is correct
13 Correct 1828 ms 56740 KB Output is correct
14 Correct 4261 ms 52308 KB Output is correct
15 Correct 5097 ms 52308 KB Output is correct
16 Correct 6 ms 1260 KB Output is correct
17 Correct 1710 ms 52308 KB Output is correct
18 Correct 658 ms 5588 KB Output is correct
19 Correct 5716 ms 52308 KB Output is correct
20 Correct 5696 ms 52308 KB Output is correct
21 Correct 5 ms 1260 KB Output is correct
22 Correct 6 ms 1260 KB Output is correct
23 Correct 5549 ms 48468 KB Output is correct
24 Correct 1375 ms 52180 KB Output is correct
25 Correct 818 ms 5544 KB Output is correct
26 Correct 3445 ms 25860 KB Output is correct
27 Correct 3569 ms 25860 KB Output is correct
28 Correct 60 ms 6252 KB Output is correct
29 Correct 2310 ms 22768 KB Output is correct
30 Correct 1592 ms 21404 KB Output is correct
31 Correct 485 ms 5028 KB Output is correct
32 Correct 500 ms 6380 KB Output is correct
33 Execution timed out 10073 ms 52276 KB Time limit exceeded
34 Halted 0 ms 0 KB -