oj.uz

Submission #386719

# Submission time Handle Problem Language Result Execution time Memory
386719 2021-04-07T08:38:28 Z ogibogi2004 Road Construction (JOI21_road_construction) C++14
38 / 100
 10000 ms 57516 KB 
#include<bits/stdc++.h>
using namespace std;
#define ll long long
const int MAXN=250006;
const ll INF=4e9;
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);
		}
		set<ll>::iterator l=ys.lower_bound(v[i].y-d);
		set<ll>::iterator r=ys.lower_bound(v[i].y+d+1);
		--r;
		cnt+=fen.query(compressed_y[(*l)],compressed_y[(*r)]);
		if(cnt>=k)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(-INF/2-1);
	xs.insert(INF/2+1);
	ys.insert(-INF/2-1);
	ys.insert(INF/2+1);
	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:56:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<point>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   56 |  for(int i=0;i<v.size();++i)
      |              ~^~~~~~~~~
road_construction.cpp: In function 'void find(long long int)':
road_construction.cpp:78:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<point>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   78 |  for(int i=0;i<v.size();++i)
      |              ~^~~~~~~~~
road_construction.cpp: In function 'int main()':
road_construction.cpp:147:15: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  147 |  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 73 ms 6236 KB Output is correct
2 Correct 73 ms 6236 KB Output is correct
3 Correct 61 ms 6252 KB Output is correct
4 Correct 65 ms 6252 KB Output is correct
5 Correct 61 ms 5084 KB Output is correct
6 Correct 9 ms 1388 KB Output is correct

Subtask #2
6.0 / 6.0

# Verdict Execution time Memory Grader output
1 Correct 3121 ms 57508 KB Output is correct
2 Correct 3092 ms 57516 KB Output is correct
3 Correct 69 ms 6124 KB Output is correct
4 Correct 2915 ms 57260 KB Output is correct
5 Correct 2832 ms 57508 KB Output is correct
6 Correct 2718 ms 57508 KB Output is correct
7 Correct 2425 ms 56740 KB Output is correct

Subtask #3
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 8990 ms 52192 KB Output is correct
2 Execution timed out 10055 ms 52440 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 8990 ms 52192 KB Output is correct
2 Execution timed out 10055 ms 52440 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 73 ms 6236 KB Output is correct
2 Correct 73 ms 6236 KB Output is correct
3 Correct 61 ms 6252 KB Output is correct
4 Correct 65 ms 6252 KB Output is correct
5 Correct 61 ms 5084 KB Output is correct
6 Correct 9 ms 1388 KB Output is correct
7 Correct 7756 ms 25860 KB Output is correct
8 Correct 7678 ms 25860 KB Output is correct
9 Correct 59 ms 6252 KB Output is correct
10 Correct 5054 ms 22520 KB Output is correct
11 Correct 3135 ms 21368 KB Output is correct
12 Correct 695 ms 5104 KB Output is correct
13 Correct 661 ms 6212 KB Output is correct

Subtask #6
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 73 ms 6236 KB Output is correct
2 Correct 73 ms 6236 KB Output is correct
3 Correct 61 ms 6252 KB Output is correct
4 Correct 65 ms 6252 KB Output is correct
5 Correct 61 ms 5084 KB Output is correct
6 Correct 9 ms 1388 KB Output is correct
7 Correct 3121 ms 57508 KB Output is correct
8 Correct 3092 ms 57516 KB Output is correct
9 Correct 69 ms 6124 KB Output is correct
10 Correct 2915 ms 57260 KB Output is correct
11 Correct 2832 ms 57508 KB Output is correct
12 Correct 2718 ms 57508 KB Output is correct
13 Correct 2425 ms 56740 KB Output is correct
14 Correct 8990 ms 52192 KB Output is correct
15 Execution timed out 10055 ms 52440 KB Time limit exceeded
16 Halted 0 ms 0 KB -