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Submission #368179

# Submission time Handle Problem Language Result Execution time Memory
368179 2021-02-19T17:31:28 Z YJU Circle selection (APIO18_circle_selection) C++14
100 / 100
 2079 ms 30732 KB 
#include<bits/stdc++.h>
#pragma GCC optimize("unroll-loops,no-stack-protector,Ofast")
using namespace std;
typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pll;
const ll MOD=1e9+7;
const ll MOD2=998244353;
const ll N=3e5+5;
const ld pi=acos(-1);
const ll INF=(1LL<<60);
#define SQ(i) ((i)*(i))
#define REP(i,n) for(ll i=0;i<n;i++)
#define REP1(i,n) for(ll i=1;i<=n;i++)
#define pb push_back
#define mp make_pair
#define X first
#define Y second
#define setp setprecision
#define lwb lower_bound
#define SZ(_a) (ll)_a.size()

struct circle{
	ll r,x,y,id;
	bool operator <(circle B){
		return (r!=B.r?r>B.r:id<B.id);
	}
};

bool inter(circle A,circle B){
	return (SQ(A.r+B.r)>=SQ(A.x-B.x)+SQ(A.y-B.y));
}

ll n,ans[N];
vector<circle> cir;
vector<pair<pll,ll> > loc;

int main(){
	ios_base::sync_with_stdio(0);cin.tie(0);
	memset(ans,-1,sizeof(ans));
	cin>>n;
	cir.resize(n);
	REP(i,n)cin>>cir[i].x>>cir[i].y>>cir[i].r,cir[i].id=i;
	sort(cir.begin(),cir.end());
	ll R=cir[0].r+1;
	while(SZ(cir)){
		loc.clear();
		REP(i,SZ(cir))loc.pb(mp(mp(cir[i].x/R,cir[i].y/R),i));
		sort(loc.begin(),loc.end());
		for(auto i:cir){
			if(ans[i.id]!=-1)continue;
			if(i.r<R/2)break;
			ans[i.id]=i.id;
			ll cx=i.x/R,cy=i.y/R;
			for(int x=cx-2;x<=cx+2;x++){
				pair<pll,ll> pos=mp(mp(x,cy-2),-1);
				for(int j=lwb(loc.begin(),loc.end(),pos)-loc.begin();j<SZ(loc);j++){
					if(loc[j].X.X!=x||loc[j].X.Y>cy+2)break;
					if(ans[cir[loc[j].Y].id]==-1&&inter(i,cir[loc[j].Y])){
						ans[cir[loc[j].Y].id]=i.id;
					}
				}
			}
		}
		vector<circle> tmp=cir;
		cir.clear();
		for(auto i:tmp){
			if(ans[i.id]==-1)cir.pb(i);
		}
		R>>=1;
	}
	REP(i,n)cout<<ans[i]+1<<(i==n-1?"\n":" ");
	return 0;
}
/*
11
9 9 2
13 2 1
11 8 2
3 3 2
3 12 1
12 14 1
9 8 5
2 8 2
5 2 1
14 4 2
14 14 1
*/

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2668 KB Output is correct
3 Correct 2 ms 2668 KB Output is correct
4 Correct 2 ms 2668 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2668 KB Output is correct
7 Correct 2 ms 2668 KB Output is correct
8 Correct 2 ms 2668 KB Output is correct
9 Correct 2 ms 2668 KB Output is correct
10 Correct 2 ms 2668 KB Output is correct
11 Correct 2 ms 2668 KB Output is correct
12 Correct 2 ms 2668 KB Output is correct
13 Correct 2 ms 2668 KB Output is correct
14 Correct 2 ms 2668 KB Output is correct
15 Correct 2 ms 2668 KB Output is correct
16 Correct 2 ms 2796 KB Output is correct
17 Correct 2 ms 2796 KB Output is correct
18 Correct 2 ms 2796 KB Output is correct
19 Correct 5 ms 3244 KB Output is correct
20 Correct 5 ms 3244 KB Output is correct
21 Correct 5 ms 3244 KB Output is correct
22 Correct 8 ms 3244 KB Output is correct
23 Correct 9 ms 3244 KB Output is correct
24 Correct 8 ms 3244 KB Output is correct
25 Correct 8 ms 3244 KB Output is correct
26 Correct 8 ms 3244 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 208 ms 28608 KB Output is correct
2 Correct 222 ms 28608 KB Output is correct
3 Correct 223 ms 28608 KB Output is correct
4 Correct 228 ms 28608 KB Output is correct
5 Correct 248 ms 28608 KB Output is correct
6 Correct 342 ms 28608 KB Output is correct
7 Correct 256 ms 28736 KB Output is correct
8 Correct 271 ms 28608 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 166 ms 11480 KB Output is correct
3 Correct 572 ms 28864 KB Output is correct
4 Correct 563 ms 28864 KB Output is correct
5 Correct 545 ms 28424 KB Output is correct
6 Correct 244 ms 16464 KB Output is correct
7 Correct 109 ms 10072 KB Output is correct
8 Correct 20 ms 4452 KB Output is correct
9 Correct 588 ms 29196 KB Output is correct
10 Correct 524 ms 30436 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 490 ms 28608 KB Output is correct
2 Correct 432 ms 28864 KB Output is correct
3 Correct 298 ms 28736 KB Output is correct
4 Correct 445 ms 28864 KB Output is correct
5 Correct 422 ms 28736 KB Output is correct
6 Correct 281 ms 28736 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2668 KB Output is correct
3 Correct 2 ms 2668 KB Output is correct
4 Correct 2 ms 2668 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2668 KB Output is correct
7 Correct 2 ms 2668 KB Output is correct
8 Correct 2 ms 2668 KB Output is correct
9 Correct 2 ms 2668 KB Output is correct
10 Correct 2 ms 2668 KB Output is correct
11 Correct 2 ms 2668 KB Output is correct
12 Correct 2 ms 2668 KB Output is correct
13 Correct 2 ms 2668 KB Output is correct
14 Correct 2 ms 2668 KB Output is correct
15 Correct 2 ms 2668 KB Output is correct
16 Correct 2 ms 2796 KB Output is correct
17 Correct 2 ms 2796 KB Output is correct
18 Correct 2 ms 2796 KB Output is correct
19 Correct 5 ms 3244 KB Output is correct
20 Correct 5 ms 3244 KB Output is correct
21 Correct 5 ms 3244 KB Output is correct
22 Correct 8 ms 3244 KB Output is correct
23 Correct 9 ms 3244 KB Output is correct
24 Correct 8 ms 3244 KB Output is correct
25 Correct 8 ms 3244 KB Output is correct
26 Correct 8 ms 3244 KB Output is correct
27 Correct 9 ms 3688 KB Output is correct
28 Correct 8 ms 3688 KB Output is correct
29 Correct 9 ms 3688 KB Output is correct
30 Correct 15 ms 3688 KB Output is correct
31 Correct 15 ms 3688 KB Output is correct
32 Correct 15 ms 3688 KB Output is correct
33 Correct 82 ms 11484 KB Output is correct
34 Correct 72 ms 11484 KB Output is correct
35 Correct 81 ms 11484 KB Output is correct
36 Correct 155 ms 11480 KB Output is correct
37 Correct 161 ms 11736 KB Output is correct
38 Correct 166 ms 11736 KB Output is correct
39 Correct 569 ms 12056 KB Output is correct
40 Correct 573 ms 12056 KB Output is correct
41 Correct 561 ms 12184 KB Output is correct
42 Correct 102 ms 11608 KB Output is correct
43 Correct 128 ms 11608 KB Output is correct
44 Correct 130 ms 11608 KB Output is correct
45 Correct 131 ms 11608 KB Output is correct
46 Correct 127 ms 11608 KB Output is correct
47 Correct 137 ms 11608 KB Output is correct
48 Correct 144 ms 11556 KB Output is correct
49 Correct 129 ms 11616 KB Output is correct
50 Correct 130 ms 11608 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2668 KB Output is correct
2 Correct 2 ms 2668 KB Output is correct
3 Correct 2 ms 2668 KB Output is correct
4 Correct 2 ms 2668 KB Output is correct
5 Correct 2 ms 2668 KB Output is correct
6 Correct 2 ms 2668 KB Output is correct
7 Correct 2 ms 2668 KB Output is correct
8 Correct 2 ms 2668 KB Output is correct
9 Correct 2 ms 2668 KB Output is correct
10 Correct 2 ms 2668 KB Output is correct
11 Correct 2 ms 2668 KB Output is correct
12 Correct 2 ms 2668 KB Output is correct
13 Correct 2 ms 2668 KB Output is correct
14 Correct 2 ms 2668 KB Output is correct
15 Correct 2 ms 2668 KB Output is correct
16 Correct 2 ms 2796 KB Output is correct
17 Correct 2 ms 2796 KB Output is correct
18 Correct 2 ms 2796 KB Output is correct
19 Correct 5 ms 3244 KB Output is correct
20 Correct 5 ms 3244 KB Output is correct
21 Correct 5 ms 3244 KB Output is correct
22 Correct 8 ms 3244 KB Output is correct
23 Correct 9 ms 3244 KB Output is correct
24 Correct 8 ms 3244 KB Output is correct
25 Correct 8 ms 3244 KB Output is correct
26 Correct 8 ms 3244 KB Output is correct
27 Correct 208 ms 28608 KB Output is correct
28 Correct 222 ms 28608 KB Output is correct
29 Correct 223 ms 28608 KB Output is correct
30 Correct 228 ms 28608 KB Output is correct
31 Correct 248 ms 28608 KB Output is correct
32 Correct 342 ms 28608 KB Output is correct
33 Correct 256 ms 28736 KB Output is correct
34 Correct 271 ms 28608 KB Output is correct
35 Correct 2 ms 2668 KB Output is correct
36 Correct 166 ms 11480 KB Output is correct
37 Correct 572 ms 28864 KB Output is correct
38 Correct 563 ms 28864 KB Output is correct
39 Correct 545 ms 28424 KB Output is correct
40 Correct 244 ms 16464 KB Output is correct
41 Correct 109 ms 10072 KB Output is correct
42 Correct 20 ms 4452 KB Output is correct
43 Correct 588 ms 29196 KB Output is correct
44 Correct 524 ms 30436 KB Output is correct
45 Correct 490 ms 28608 KB Output is correct
46 Correct 432 ms 28864 KB Output is correct
47 Correct 298 ms 28736 KB Output is correct
48 Correct 445 ms 28864 KB Output is correct
49 Correct 422 ms 28736 KB Output is correct
50 Correct 281 ms 28736 KB Output is correct
51 Correct 9 ms 3688 KB Output is correct
52 Correct 8 ms 3688 KB Output is correct
53 Correct 9 ms 3688 KB Output is correct
54 Correct 15 ms 3688 KB Output is correct
55 Correct 15 ms 3688 KB Output is correct
56 Correct 15 ms 3688 KB Output is correct
57 Correct 82 ms 11484 KB Output is correct
58 Correct 72 ms 11484 KB Output is correct
59 Correct 81 ms 11484 KB Output is correct
60 Correct 155 ms 11480 KB Output is correct
61 Correct 161 ms 11736 KB Output is correct
62 Correct 166 ms 11736 KB Output is correct
63 Correct 569 ms 12056 KB Output is correct
64 Correct 573 ms 12056 KB Output is correct
65 Correct 561 ms 12184 KB Output is correct
66 Correct 102 ms 11608 KB Output is correct
67 Correct 128 ms 11608 KB Output is correct
68 Correct 130 ms 11608 KB Output is correct
69 Correct 131 ms 11608 KB Output is correct
70 Correct 127 ms 11608 KB Output is correct
71 Correct 137 ms 11608 KB Output is correct
72 Correct 144 ms 11556 KB Output is correct
73 Correct 129 ms 11616 KB Output is correct
74 Correct 130 ms 11608 KB Output is correct
75 Correct 247 ms 28736 KB Output is correct
76 Correct 248 ms 29032 KB Output is correct
77 Correct 237 ms 28736 KB Output is correct
78 Correct 223 ms 28736 KB Output is correct
79 Correct 308 ms 28736 KB Output is correct
80 Correct 215 ms 28736 KB Output is correct
81 Correct 554 ms 28736 KB Output is correct
82 Correct 549 ms 28788 KB Output is correct
83 Correct 542 ms 28864 KB Output is correct
84 Correct 590 ms 28816 KB Output is correct
85 Correct 591 ms 28736 KB Output is correct
86 Correct 607 ms 28736 KB Output is correct
87 Correct 627 ms 28736 KB Output is correct
88 Correct 1990 ms 30472 KB Output is correct
89 Correct 2079 ms 30604 KB Output is correct
90 Correct 2027 ms 30628 KB Output is correct
91 Correct 1926 ms 30732 KB Output is correct
92 Correct 2008 ms 30712 KB Output is correct
93 Correct 464 ms 28868 KB Output is correct
94 Correct 492 ms 28864 KB Output is correct
95 Correct 481 ms 28864 KB Output is correct
96 Correct 469 ms 28992 KB Output is correct
97 Correct 604 ms 28864 KB Output is correct
98 Correct 399 ms 28992 KB Output is correct
99 Correct 479 ms 28864 KB Output is correct
100 Correct 440 ms 28864 KB Output is correct
101 Correct 471 ms 28864 KB Output is correct
102 Correct 477 ms 28736 KB Output is correct
103 Correct 586 ms 28736 KB Output is correct
104 Correct 481 ms 28736 KB Output is correct
105 Correct 364 ms 28864 KB Output is correct
106 Correct 471 ms 28736 KB Output is correct
107 Correct 415 ms 28736 KB Output is correct
108 Correct 429 ms 28864 KB Output is correct
109 Correct 431 ms 28864 KB Output is correct
110 Correct 431 ms 28736 KB Output is correct
111 Correct 420 ms 28864 KB Output is correct
112 Correct 431 ms 28788 KB Output is correct
113 Correct 419 ms 28864 KB Output is correct
114 Correct 432 ms 28864 KB Output is correct
115 Correct 427 ms 28736 KB Output is correct
116 Correct 437 ms 28736 KB Output is correct