답안 #49665

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
49665 2018-06-01T18:50:17 Z gs14004 원 고르기 (APIO18_circle_selection) C++17
64 / 100
4000 ms 94988 KB
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
const int MX=300010, inf=2e9;
 
struct CIRCLE {
	int x, y, r, idx, kill;
} C[MX];
 
inline ll sq(ll x){ return x*x; }
inline ll dist(int a, int b){
	return sq(C[a].x-C[b].x)+sq(C[a].y-C[b].y);
}
inline bool hit(int a, int b){
	return dist(a,b)<=sq(C[a].r+C[b].r);
}
 
int n;
 
void input(){
	cin>>n;
	for(int i=1; i<=n; i++){
		int x, y, r;
		cin>>x>>y>>r;
		C[i]={x,y,r,i,0};
	}
}
 
vector<vector<vi>> G;
ll t=1<<30;
// [-t, 0), [0, t)
 
inline int sect(int idx, int x0, int y0){
	// 1 3
	// 0 2
	int x=C[idx].x, y=C[idx].y;
	if(x<x0)
		if(y<y0) return 0;
		else return 1;
	else
		if(y<y0) return 2;
		else return 3;
}
 
inline int range(ll x){
	if(x>0) return x/t;
	return -((-x+t-1)/t);
}
inline int xrange(const vi &cell){
	return range(C[cell.front()].x);
}
inline int yrange(const vi &cell){
	return range(C[cell.front()].y);
}
inline int xrange(const vector<vi> &X){
	return xrange(X.front());
}
 
 
void init_grid(){
	vi V[4];
	for(int i=1; i<=n; i++){
		V[sect(i,0,0)].push_back(i);
	}
	vector<vi> X[2];
	for(int k=0; k<4; k++)
		if(!V[k].empty())
			X[k/2].push_back(V[k]);
 
	if(!X[0].empty()) G.push_back(X[0]);
	if(!X[1].empty()) G.push_back(X[1]);
}
 
void resize_grid(){
	vector<vector<vi>> tmp;
	for(auto &X:G){
		vector<vi> newX[2];
		for(vi &cell:X){
			vi V[4];
			int x=xrange(cell)*t + t/2;
			int y=yrange(cell)*t + t/2;
			for(int idx:cell){
				if(C[idx].kill!=0) continue;
				V[sect(idx,x,y)].push_back(idx);
			}
			for(int k=0; k<4; k++)
				if(!V[k].empty())
					newX[k/2].push_back(V[k]);
		}
		if(!newX[0].empty()) tmp.push_back(newX[0]);
		if(!newX[1].empty()) tmp.push_back(newX[1]);
	}
	// slow!!!
	G=tmp;
	t/=2;
}
void process(const vi &cell, int killer){
	// cell을 업데이트 안해도 되나?
	for(int killed:cell)
		if(C[killed].kill==0 && hit(killed, killer))
			C[killed].kill=killer;
}
 
void kill(int idx){
	while(C[idx].r*2<t){
		resize_grid();
	}
	int x=C[idx].x, y=C[idx].y;
	ll lx=range(x)-2, hx=range(x)+3;
	ll ly=range(y)-2, hy=range(y)+3;
	
	int n1=G.size();
	int s1=0, e1=n1-1;
	while(s1<e1){
		int m1=(s1+e1)/2;
		if(xrange(G[m1])<lx) s1=m1+1;
		else e1=m1;
	}
	int pos=s1;
	while(pos<min(n1,s1+5) && lx<=xrange(G[pos]) && xrange(G[pos])<=hx){
		vector<vi> &X=G[pos];
		int n2=X.size();
		int s2=0, e2=n2-1;
		while(s2<e2){
			int m2=(s2+e2)/2;
			if(yrange(X[m2])<ly) s2=m2+1;
			else e2=m2;
		}
		while(s2<n2 && ly<=yrange(X[s2]) && yrange(X[s2])<=hy){
			process(X[s2], idx);
			s2++;
		}
		pos++;
	}
}
 
void solve(){
	CIRCLE D[MX];
	for(int i=1; i<=n; i++) D[i]=C[i];
	sort(D+1, D+n+1, [](CIRCLE &a, CIRCLE &b){
		if(a.r==b.r) return a.idx<b.idx;
		return a.r>b.r;
	});
	for(int i=1; i<=n; i++){
		int idx=D[i].idx;
		if(C[idx].kill!=0) continue;
		kill(idx);
	}
}
 
int main(){
	ios::sync_with_stdio(0); cin.tie(0);
	input();
	init_grid();
	solve();
	
	for(int i=1; i<=n; i++) cout<<C[i].kill<<' ';
	return 0;
}
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 408 KB Output is correct
4 Correct 2 ms 468 KB Output is correct
5 Correct 2 ms 516 KB Output is correct
6 Correct 2 ms 520 KB Output is correct
7 Correct 2 ms 536 KB Output is correct
8 Correct 2 ms 536 KB Output is correct
9 Correct 2 ms 536 KB Output is correct
10 Correct 3 ms 536 KB Output is correct
11 Correct 4 ms 540 KB Output is correct
12 Correct 3 ms 540 KB Output is correct
13 Correct 2 ms 592 KB Output is correct
14 Correct 3 ms 620 KB Output is correct
15 Correct 2 ms 620 KB Output is correct
16 Correct 3 ms 620 KB Output is correct
17 Correct 4 ms 620 KB Output is correct
18 Correct 3 ms 620 KB Output is correct
19 Correct 8 ms 876 KB Output is correct
20 Correct 6 ms 876 KB Output is correct
21 Correct 5 ms 896 KB Output is correct
22 Correct 43 ms 1932 KB Output is correct
23 Correct 38 ms 1932 KB Output is correct
24 Correct 34 ms 2004 KB Output is correct
25 Correct 39 ms 2164 KB Output is correct
26 Correct 32 ms 2164 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 263 ms 15960 KB Output is correct
2 Correct 197 ms 17156 KB Output is correct
3 Correct 189 ms 17556 KB Output is correct
4 Correct 194 ms 17556 KB Output is correct
5 Correct 331 ms 18704 KB Output is correct
6 Correct 917 ms 38272 KB Output is correct
7 Correct 382 ms 38272 KB Output is correct
8 Correct 384 ms 38272 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 38272 KB Output is correct
2 Correct 732 ms 38272 KB Output is correct
3 Correct 2991 ms 63160 KB Output is correct
4 Correct 3274 ms 63160 KB Output is correct
5 Correct 1899 ms 63160 KB Output is correct
6 Correct 666 ms 63160 KB Output is correct
7 Correct 311 ms 63160 KB Output is correct
8 Correct 64 ms 63160 KB Output is correct
9 Correct 2664 ms 63160 KB Output is correct
10 Correct 1806 ms 63160 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 3257 ms 68568 KB Output is correct
2 Execution timed out 4027 ms 94988 KB Time limit exceeded
3 Halted 0 ms 0 KB -
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 408 KB Output is correct
4 Correct 2 ms 468 KB Output is correct
5 Correct 2 ms 516 KB Output is correct
6 Correct 2 ms 520 KB Output is correct
7 Correct 2 ms 536 KB Output is correct
8 Correct 2 ms 536 KB Output is correct
9 Correct 2 ms 536 KB Output is correct
10 Correct 3 ms 536 KB Output is correct
11 Correct 4 ms 540 KB Output is correct
12 Correct 3 ms 540 KB Output is correct
13 Correct 2 ms 592 KB Output is correct
14 Correct 3 ms 620 KB Output is correct
15 Correct 2 ms 620 KB Output is correct
16 Correct 3 ms 620 KB Output is correct
17 Correct 4 ms 620 KB Output is correct
18 Correct 3 ms 620 KB Output is correct
19 Correct 8 ms 876 KB Output is correct
20 Correct 6 ms 876 KB Output is correct
21 Correct 5 ms 896 KB Output is correct
22 Correct 43 ms 1932 KB Output is correct
23 Correct 38 ms 1932 KB Output is correct
24 Correct 34 ms 2004 KB Output is correct
25 Correct 39 ms 2164 KB Output is correct
26 Correct 32 ms 2164 KB Output is correct
27 Correct 8 ms 94988 KB Output is correct
28 Correct 9 ms 94988 KB Output is correct
29 Correct 9 ms 94988 KB Output is correct
30 Correct 54 ms 94988 KB Output is correct
31 Correct 63 ms 94988 KB Output is correct
32 Correct 59 ms 94988 KB Output is correct
33 Correct 68 ms 94988 KB Output is correct
34 Correct 70 ms 94988 KB Output is correct
35 Correct 76 ms 94988 KB Output is correct
36 Correct 706 ms 94988 KB Output is correct
37 Correct 836 ms 94988 KB Output is correct
38 Correct 859 ms 94988 KB Output is correct
39 Correct 422 ms 94988 KB Output is correct
40 Correct 389 ms 94988 KB Output is correct
41 Correct 438 ms 94988 KB Output is correct
42 Correct 281 ms 94988 KB Output is correct
43 Correct 729 ms 94988 KB Output is correct
44 Correct 676 ms 94988 KB Output is correct
45 Correct 686 ms 94988 KB Output is correct
46 Correct 672 ms 94988 KB Output is correct
47 Correct 719 ms 94988 KB Output is correct
48 Correct 716 ms 94988 KB Output is correct
49 Correct 718 ms 94988 KB Output is correct
50 Correct 763 ms 94988 KB Output is correct
# 결과 실행 시간 메모리 Grader output
1 Correct 2 ms 376 KB Output is correct
2 Correct 2 ms 376 KB Output is correct
3 Correct 2 ms 408 KB Output is correct
4 Correct 2 ms 468 KB Output is correct
5 Correct 2 ms 516 KB Output is correct
6 Correct 2 ms 520 KB Output is correct
7 Correct 2 ms 536 KB Output is correct
8 Correct 2 ms 536 KB Output is correct
9 Correct 2 ms 536 KB Output is correct
10 Correct 3 ms 536 KB Output is correct
11 Correct 4 ms 540 KB Output is correct
12 Correct 3 ms 540 KB Output is correct
13 Correct 2 ms 592 KB Output is correct
14 Correct 3 ms 620 KB Output is correct
15 Correct 2 ms 620 KB Output is correct
16 Correct 3 ms 620 KB Output is correct
17 Correct 4 ms 620 KB Output is correct
18 Correct 3 ms 620 KB Output is correct
19 Correct 8 ms 876 KB Output is correct
20 Correct 6 ms 876 KB Output is correct
21 Correct 5 ms 896 KB Output is correct
22 Correct 43 ms 1932 KB Output is correct
23 Correct 38 ms 1932 KB Output is correct
24 Correct 34 ms 2004 KB Output is correct
25 Correct 39 ms 2164 KB Output is correct
26 Correct 32 ms 2164 KB Output is correct
27 Correct 263 ms 15960 KB Output is correct
28 Correct 197 ms 17156 KB Output is correct
29 Correct 189 ms 17556 KB Output is correct
30 Correct 194 ms 17556 KB Output is correct
31 Correct 331 ms 18704 KB Output is correct
32 Correct 917 ms 38272 KB Output is correct
33 Correct 382 ms 38272 KB Output is correct
34 Correct 384 ms 38272 KB Output is correct
35 Correct 2 ms 38272 KB Output is correct
36 Correct 732 ms 38272 KB Output is correct
37 Correct 2991 ms 63160 KB Output is correct
38 Correct 3274 ms 63160 KB Output is correct
39 Correct 1899 ms 63160 KB Output is correct
40 Correct 666 ms 63160 KB Output is correct
41 Correct 311 ms 63160 KB Output is correct
42 Correct 64 ms 63160 KB Output is correct
43 Correct 2664 ms 63160 KB Output is correct
44 Correct 1806 ms 63160 KB Output is correct
45 Correct 3257 ms 68568 KB Output is correct
46 Execution timed out 4027 ms 94988 KB Time limit exceeded
47 Halted 0 ms 0 KB -