oj.uz

Submission #386714

# Submission time Handle Problem Language Result Execution time Memory
386714 2021-04-07T08:35:42 Z ogibogi2004 Road Construction (JOI21_road_construction) C++14
38 / 100
 10000 ms 57556 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);
		}
		auto l=ys.lower_bound(v[i].y-d);
		auto 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});
		}
		auto 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 main()
{
	ios_base::sync_with_stdio(false);
	cin.tie(NULL);cout.tie(NULL);
	cin>>n>>k;
	for(int i=1;i<=n;++i)
	{
		int x,y;
		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=0,high=INF,mid,ans=-1;
	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 71 ms 6236 KB Output is correct
3 Correct 60 ms 6252 KB Output is correct
4 Correct 61 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 3988 ms 57556 KB Output is correct
2 Correct 3591 ms 57396 KB Output is correct
3 Correct 56 ms 6124 KB Output is correct
4 Correct 2965 ms 57252 KB Output is correct
5 Correct 2978 ms 57504 KB Output is correct
6 Correct 2841 ms 57428 KB Output is correct
7 Correct 2457 ms 56788 KB Output is correct

Subtask #3
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 9365 ms 52396 KB Output is correct
2 Execution timed out 10046 ms 52208 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 9365 ms 52396 KB Output is correct
2 Execution timed out 10046 ms 52208 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 71 ms 6236 KB Output is correct
3 Correct 60 ms 6252 KB Output is correct
4 Correct 61 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 8113 ms 25860 KB Output is correct
8 Correct 7414 ms 25860 KB Output is correct
9 Correct 60 ms 6252 KB Output is correct
10 Correct 4886 ms 22652 KB Output is correct
11 Correct 3119 ms 21312 KB Output is correct
12 Correct 701 ms 5028 KB Output is correct
13 Correct 693 ms 6108 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 71 ms 6236 KB Output is correct
3 Correct 60 ms 6252 KB Output is correct
4 Correct 61 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 3988 ms 57556 KB Output is correct
8 Correct 3591 ms 57396 KB Output is correct
9 Correct 56 ms 6124 KB Output is correct
10 Correct 2965 ms 57252 KB Output is correct
11 Correct 2978 ms 57504 KB Output is correct
12 Correct 2841 ms 57428 KB Output is correct
13 Correct 2457 ms 56788 KB Output is correct
14 Correct 9365 ms 52396 KB Output is correct
15 Execution timed out 10046 ms 52208 KB Time limit exceeded
16 Halted 0 ms 0 KB -