oj.uz

Submission #386713

# Submission time Handle Problem Language Result Execution time Memory
386713 2021-04-07T08:35:18 Z ogibogi2004 Road Construction (JOI21_road_construction) C++14
38 / 100
 10000 ms 58524 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);
	//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 71 ms 6236 KB Output is correct
2 Correct 72 ms 6236 KB Output is correct
3 Correct 62 ms 6252 KB Output is correct
4 Correct 59 ms 6252 KB Output is correct
5 Correct 160 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 3434 ms 57580 KB Output is correct
2 Correct 3255 ms 57508 KB Output is correct
3 Correct 55 ms 6124 KB Output is correct
4 Correct 2898 ms 58468 KB Output is correct
5 Correct 2712 ms 58524 KB Output is correct
6 Correct 2445 ms 58404 KB Output is correct
7 Correct 2332 ms 58452 KB Output is correct

Subtask #3
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 9516 ms 52276 KB Output is correct
2 Execution timed out 10025 ms 52308 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 9516 ms 52276 KB Output is correct
2 Execution timed out 10025 ms 52308 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #5
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 6236 KB Output is correct
2 Correct 72 ms 6236 KB Output is correct
3 Correct 62 ms 6252 KB Output is correct
4 Correct 59 ms 6252 KB Output is correct
5 Correct 160 ms 5084 KB Output is correct
6 Correct 9 ms 1388 KB Output is correct
7 Correct 8109 ms 25860 KB Output is correct
8 Correct 8920 ms 25860 KB Output is correct
9 Correct 59 ms 6252 KB Output is correct
10 Correct 5358 ms 22552 KB Output is correct
11 Correct 3355 ms 21340 KB Output is correct
12 Correct 702 ms 8324 KB Output is correct
13 Correct 702 ms 7432 KB Output is correct

Subtask #6
0 / 35.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 6236 KB Output is correct
2 Correct 72 ms 6236 KB Output is correct
3 Correct 62 ms 6252 KB Output is correct
4 Correct 59 ms 6252 KB Output is correct
5 Correct 160 ms 5084 KB Output is correct
6 Correct 9 ms 1388 KB Output is correct
7 Correct 3434 ms 57580 KB Output is correct
8 Correct 3255 ms 57508 KB Output is correct
9 Correct 55 ms 6124 KB Output is correct
10 Correct 2898 ms 58468 KB Output is correct
11 Correct 2712 ms 58524 KB Output is correct
12 Correct 2445 ms 58404 KB Output is correct
13 Correct 2332 ms 58452 KB Output is correct
14 Correct 9516 ms 52276 KB Output is correct
15 Execution timed out 10025 ms 52308 KB Time limit exceeded
16 Halted 0 ms 0 KB -