oj.uz

Submission #386707

# Submission time Handle Problem Language Result Execution time Memory
386707 2021-04-07T08:32:48 Z ogibogi2004 Road Construction (JOI21_road_construction) C++14
38 / 100
 10000 ms 66440 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<ll,int>compressed_y;
map<ll,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);
	xs.insert(INF);
	ys.insert(-INF);
	ys.insert(INF);
	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);
	//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 74 ms 6252 KB Output is correct
2 Correct 75 ms 6252 KB Output is correct
3 Correct 64 ms 6236 KB Output is correct
4 Correct 63 ms 6236 KB Output is correct
5 Correct 64 ms 5100 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 3388 ms 65236 KB Output is correct
2 Correct 3382 ms 65220 KB Output is correct
3 Correct 58 ms 6108 KB Output is correct
4 Correct 3087 ms 66324 KB Output is correct
5 Correct 2869 ms 66236 KB Output is correct
6 Correct 2576 ms 66440 KB Output is correct
7 Correct 2489 ms 66132 KB Output is correct

Subtask #3
0 / 7.0

# Verdict Execution time Memory Grader output
1 Execution timed out 10058 ms 60068 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Execution timed out 10058 ms 60068 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 74 ms 6252 KB Output is correct
2 Correct 75 ms 6252 KB Output is correct
3 Correct 64 ms 6236 KB Output is correct
4 Correct 63 ms 6236 KB Output is correct
5 Correct 64 ms 5100 KB Output is correct
6 Correct 9 ms 1388 KB Output is correct
7 Correct 8669 ms 28992 KB Output is correct
8 Correct 8541 ms 28988 KB Output is correct
9 Correct 65 ms 6236 KB Output is correct
10 Correct 5500 ms 25256 KB Output is correct
11 Correct 3682 ms 23868 KB Output is correct
12 Correct 682 ms 8324 KB Output is correct
13 Correct 696 ms 7640 KB Output is correct

Subtask #6
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 74 ms 6252 KB Output is correct
2 Correct 75 ms 6252 KB Output is correct
3 Correct 64 ms 6236 KB Output is correct
4 Correct 63 ms 6236 KB Output is correct
5 Correct 64 ms 5100 KB Output is correct
6 Correct 9 ms 1388 KB Output is correct
7 Correct 3388 ms 65236 KB Output is correct
8 Correct 3382 ms 65220 KB Output is correct
9 Correct 58 ms 6108 KB Output is correct
10 Correct 3087 ms 66324 KB Output is correct
11 Correct 2869 ms 66236 KB Output is correct
12 Correct 2576 ms 66440 KB Output is correct
13 Correct 2489 ms 66132 KB Output is correct
14 Execution timed out 10058 ms 60068 KB Time limit exceeded
15 Halted 0 ms 0 KB -