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Submission #368178

# Submission time Handle Problem Language Result Execution time Memory
368178 2021-02-19T17:29:39 Z YJU Circle selection (APIO18_circle_selection) C++14
100 / 100
 2308 ms 42240 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;


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)){
		vector<pair<pll,ll> > loc;
		while(R==0);
		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 3 ms 2796 KB Output is correct
18 Correct 2 ms 2796 KB Output is correct
19 Correct 5 ms 3372 KB Output is correct
20 Correct 5 ms 3372 KB Output is correct
21 Correct 5 ms 3372 KB Output is correct
22 Correct 8 ms 3372 KB Output is correct
23 Correct 9 ms 3356 KB Output is correct
24 Correct 8 ms 3372 KB Output is correct
25 Correct 10 ms 3372 KB Output is correct
26 Correct 8 ms 3372 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 204 ms 28700 KB Output is correct
2 Correct 235 ms 28736 KB Output is correct
3 Correct 229 ms 28736 KB Output is correct
4 Correct 224 ms 28736 KB Output is correct
5 Correct 252 ms 28736 KB Output is correct
6 Correct 360 ms 28736 KB Output is correct
7 Correct 265 ms 28992 KB Output is correct
8 Correct 280 ms 29120 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 175 ms 14168 KB Output is correct
3 Correct 584 ms 36796 KB Output is correct
4 Correct 576 ms 36928 KB Output is correct
5 Correct 567 ms 41656 KB Output is correct
6 Correct 241 ms 22476 KB Output is correct
7 Correct 120 ms 12120 KB Output is correct
8 Correct 21 ms 4708 KB Output is correct
9 Correct 645 ms 42240 KB Output is correct
10 Correct 584 ms 39592 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 516 ms 28736 KB Output is correct
2 Correct 427 ms 35776 KB Output is correct
3 Correct 299 ms 37104 KB Output is correct
4 Correct 439 ms 36032 KB Output is correct
5 Correct 436 ms 36416 KB Output is correct
6 Correct 280 ms 37184 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 3 ms 2796 KB Output is correct
18 Correct 2 ms 2796 KB Output is correct
19 Correct 5 ms 3372 KB Output is correct
20 Correct 5 ms 3372 KB Output is correct
21 Correct 5 ms 3372 KB Output is correct
22 Correct 8 ms 3372 KB Output is correct
23 Correct 9 ms 3356 KB Output is correct
24 Correct 8 ms 3372 KB Output is correct
25 Correct 10 ms 3372 KB Output is correct
26 Correct 8 ms 3372 KB Output is correct
27 Correct 9 ms 3944 KB Output is correct
28 Correct 9 ms 3944 KB Output is correct
29 Correct 9 ms 3944 KB Output is correct
30 Correct 16 ms 3944 KB Output is correct
31 Correct 15 ms 3944 KB Output is correct
32 Correct 16 ms 3944 KB Output is correct
33 Correct 76 ms 14600 KB Output is correct
34 Correct 75 ms 14556 KB Output is correct
35 Correct 84 ms 14428 KB Output is correct
36 Correct 163 ms 13912 KB Output is correct
37 Correct 169 ms 14040 KB Output is correct
38 Correct 170 ms 14168 KB Output is correct
39 Correct 689 ms 15668 KB Output is correct
40 Correct 670 ms 15560 KB Output is correct
41 Correct 684 ms 15720 KB Output is correct
42 Correct 94 ms 13016 KB Output is correct
43 Correct 134 ms 14168 KB Output is correct
44 Correct 139 ms 14040 KB Output is correct
45 Correct 130 ms 14040 KB Output is correct
46 Correct 135 ms 14040 KB Output is correct
47 Correct 133 ms 14040 KB Output is correct
48 Correct 131 ms 14040 KB Output is correct
49 Correct 136 ms 14040 KB Output is correct
50 Correct 136 ms 14040 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 3 ms 2796 KB Output is correct
18 Correct 2 ms 2796 KB Output is correct
19 Correct 5 ms 3372 KB Output is correct
20 Correct 5 ms 3372 KB Output is correct
21 Correct 5 ms 3372 KB Output is correct
22 Correct 8 ms 3372 KB Output is correct
23 Correct 9 ms 3356 KB Output is correct
24 Correct 8 ms 3372 KB Output is correct
25 Correct 10 ms 3372 KB Output is correct
26 Correct 8 ms 3372 KB Output is correct
27 Correct 204 ms 28700 KB Output is correct
28 Correct 235 ms 28736 KB Output is correct
29 Correct 229 ms 28736 KB Output is correct
30 Correct 224 ms 28736 KB Output is correct
31 Correct 252 ms 28736 KB Output is correct
32 Correct 360 ms 28736 KB Output is correct
33 Correct 265 ms 28992 KB Output is correct
34 Correct 280 ms 29120 KB Output is correct
35 Correct 2 ms 2668 KB Output is correct
36 Correct 175 ms 14168 KB Output is correct
37 Correct 584 ms 36796 KB Output is correct
38 Correct 576 ms 36928 KB Output is correct
39 Correct 567 ms 41656 KB Output is correct
40 Correct 241 ms 22476 KB Output is correct
41 Correct 120 ms 12120 KB Output is correct
42 Correct 21 ms 4708 KB Output is correct
43 Correct 645 ms 42240 KB Output is correct
44 Correct 584 ms 39592 KB Output is correct
45 Correct 516 ms 28736 KB Output is correct
46 Correct 427 ms 35776 KB Output is correct
47 Correct 299 ms 37104 KB Output is correct
48 Correct 439 ms 36032 KB Output is correct
49 Correct 436 ms 36416 KB Output is correct
50 Correct 280 ms 37184 KB Output is correct
51 Correct 9 ms 3944 KB Output is correct
52 Correct 9 ms 3944 KB Output is correct
53 Correct 9 ms 3944 KB Output is correct
54 Correct 16 ms 3944 KB Output is correct
55 Correct 15 ms 3944 KB Output is correct
56 Correct 16 ms 3944 KB Output is correct
57 Correct 76 ms 14600 KB Output is correct
58 Correct 75 ms 14556 KB Output is correct
59 Correct 84 ms 14428 KB Output is correct
60 Correct 163 ms 13912 KB Output is correct
61 Correct 169 ms 14040 KB Output is correct
62 Correct 170 ms 14168 KB Output is correct
63 Correct 689 ms 15668 KB Output is correct
64 Correct 670 ms 15560 KB Output is correct
65 Correct 684 ms 15720 KB Output is correct
66 Correct 94 ms 13016 KB Output is correct
67 Correct 134 ms 14168 KB Output is correct
68 Correct 139 ms 14040 KB Output is correct
69 Correct 130 ms 14040 KB Output is correct
70 Correct 135 ms 14040 KB Output is correct
71 Correct 133 ms 14040 KB Output is correct
72 Correct 131 ms 14040 KB Output is correct
73 Correct 136 ms 14040 KB Output is correct
74 Correct 136 ms 14040 KB Output is correct
75 Correct 249 ms 37952 KB Output is correct
76 Correct 252 ms 37440 KB Output is correct
77 Correct 242 ms 37568 KB Output is correct
78 Correct 227 ms 37696 KB Output is correct
79 Correct 315 ms 37440 KB Output is correct
80 Correct 218 ms 37696 KB Output is correct
81 Correct 574 ms 36800 KB Output is correct
82 Correct 575 ms 36692 KB Output is correct
83 Correct 566 ms 36544 KB Output is correct
84 Correct 580 ms 37064 KB Output is correct
85 Correct 563 ms 36672 KB Output is correct
86 Correct 563 ms 36672 KB Output is correct
87 Correct 633 ms 36672 KB Output is correct
88 Correct 2213 ms 34972 KB Output is correct
89 Correct 2308 ms 35092 KB Output is correct
90 Correct 2308 ms 35184 KB Output is correct
91 Correct 2196 ms 35044 KB Output is correct
92 Correct 2304 ms 35232 KB Output is correct
93 Correct 478 ms 35648 KB Output is correct
94 Correct 485 ms 36160 KB Output is correct
95 Correct 472 ms 35516 KB Output is correct
96 Correct 483 ms 35712 KB Output is correct
97 Correct 622 ms 35520 KB Output is correct
98 Correct 394 ms 36032 KB Output is correct
99 Correct 486 ms 35776 KB Output is correct
100 Correct 446 ms 35520 KB Output is correct
101 Correct 472 ms 35900 KB Output is correct
102 Correct 487 ms 35904 KB Output is correct
103 Correct 595 ms 35648 KB Output is correct
104 Correct 489 ms 35388 KB Output is correct
105 Correct 365 ms 33596 KB Output is correct
106 Correct 422 ms 36416 KB Output is correct
107 Correct 438 ms 36544 KB Output is correct
108 Correct 425 ms 36544 KB Output is correct
109 Correct 428 ms 36416 KB Output is correct
110 Correct 428 ms 36544 KB Output is correct
111 Correct 427 ms 36544 KB Output is correct
112 Correct 427 ms 36416 KB Output is correct
113 Correct 428 ms 36544 KB Output is correct
114 Correct 427 ms 36444 KB Output is correct
115 Correct 426 ms 36416 KB Output is correct
116 Correct 419 ms 36416 KB Output is correct