oj.uz

Submission #258968

# Submission time Handle Problem Language Result Execution time Memory
258968 2020-08-06T22:11:40 Z amoo_safar Circle selection (APIO18_circle_selection) C++14
100 / 100
 1585 ms 35412 KB 
// Null
#include <bits/stdc++.h>
 
#define pb push_back
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define debug(x) cerr << #x << " : " << x << '\n'
 
using namespace std;
 
typedef long long ll;
typedef long double ld;
typedef string str;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;
const ll Mod = 1000000007LL;
const int N = 3e5 + 10;
const int Inf = 2e9;

int n, x[N], y[N], r[N];
int mk[N];

vector<pii> V[N];
vector<int> U, X, Y;

void Build(int L){
	for(int i = 0; i < (int) U.size(); i++) V[i].clear();
	U.clear();

	for(int i : X){
		if(mk[i]) continue;
		U.pb(x[i] / L);
	}
	//sort(all(U));
	U.resize(unique(all(U)) - U.begin() );
	for(int i : Y)
		if(!mk[i])
			V[lower_bound(all(U), x[i] / L) - U.begin()].pb({y[i] / L, i});
	for(int i = 0; i < (int) U.size(); i++)
		sort(all(V[i]));
}

int main(){
	ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
	cin >> n;
	for(int i = 1; i <= n; i++){
		cin >> x[i] >> y[i] >> r[i];
		X.pb(i);
		Y.pb(i);
	}
	vector<int> I(n); iota(all(I), 1);
	sort(all(I), [&](int i, int j){
		return (r[i] == r[j] ? i < j : r[i] > r[j]);
	});
	sort(all(X), [&](int i, int j){
		return x[i] < x[j];
	});
	sort(all(Y), [&](int i, int j){
		return y[i] < y[j];
	});

	int L = r[I[0]];
	Build(L);
	for(auto id : I){
		if(mk[id]) continue;
		if(L*3 >= 4*r[id]) Build(L = r[id]);

		int i = x[id] / L;
		int j = y[id] / L;

		int nei;
		for(int pos = lower_bound(all(U), i - 2) - U.begin(); pos < (int) U.size() && U[pos] <= i + 2; pos ++){

			for(int posj = lower_bound(all(V[pos]), pii(j - 2, -1)) - V[pos].begin(); posj < (int) V[pos].size() && V[pos][posj].F <= j + 2; posj ++){
				nei = V[pos][posj].S;
				if(mk[nei]) continue;
				if(1ll*(x[id] - x[nei])*(x[id] - x[nei]) + 1ll*(y[id] - y[nei])*(y[id] - y[nei]) <= 1ll*(r[id] + r[nei])*(r[id] + r[nei]) ){
					mk[nei] = id;
				}
			}
		}
	}
	
	for(int i = 1; i <= n; i++) cout << mk[i] << ' ';
	cout << '\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 5 ms 7424 KB Output is correct
2 Correct 5 ms 7424 KB Output is correct
3 Correct 6 ms 7552 KB Output is correct
4 Correct 5 ms 7424 KB Output is correct
5 Correct 6 ms 7424 KB Output is correct
6 Correct 6 ms 7424 KB Output is correct
7 Correct 6 ms 7424 KB Output is correct
8 Correct 5 ms 7424 KB Output is correct
9 Correct 6 ms 7424 KB Output is correct
10 Correct 5 ms 7424 KB Output is correct
11 Correct 5 ms 7424 KB Output is correct
12 Correct 5 ms 7424 KB Output is correct
13 Correct 5 ms 7424 KB Output is correct
14 Correct 5 ms 7424 KB Output is correct
15 Correct 5 ms 7424 KB Output is correct
16 Correct 7 ms 7424 KB Output is correct
17 Correct 5 ms 7424 KB Output is correct
18 Correct 5 ms 7424 KB Output is correct
19 Correct 9 ms 7680 KB Output is correct
20 Correct 9 ms 7680 KB Output is correct
21 Correct 9 ms 7680 KB Output is correct
22 Correct 12 ms 7808 KB Output is correct
23 Correct 12 ms 7680 KB Output is correct
24 Correct 12 ms 7680 KB Output is correct
25 Correct 12 ms 7808 KB Output is correct
26 Correct 12 ms 7768 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 257 ms 21444 KB Output is correct
2 Correct 242 ms 22600 KB Output is correct
3 Correct 236 ms 23500 KB Output is correct
4 Correct 237 ms 21352 KB Output is correct
5 Correct 284 ms 22476 KB Output is correct
6 Correct 433 ms 29268 KB Output is correct
7 Correct 307 ms 27856 KB Output is correct
8 Correct 322 ms 27732 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 4 ms 7424 KB Output is correct
2 Correct 197 ms 13032 KB Output is correct
3 Correct 728 ms 32680 KB Output is correct
4 Correct 758 ms 32664 KB Output is correct
5 Correct 654 ms 33280 KB Output is correct
6 Correct 267 ms 20832 KB Output is correct
7 Correct 133 ms 14316 KB Output is correct
8 Correct 28 ms 8952 KB Output is correct
9 Correct 842 ms 35148 KB Output is correct
10 Correct 606 ms 34380 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 458 ms 23608 KB Output is correct
2 Correct 501 ms 35408 KB Output is correct
3 Correct 307 ms 30296 KB Output is correct
4 Correct 518 ms 34900 KB Output is correct
5 Correct 488 ms 35412 KB Output is correct
6 Correct 290 ms 29392 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7424 KB Output is correct
2 Correct 5 ms 7424 KB Output is correct
3 Correct 6 ms 7552 KB Output is correct
4 Correct 5 ms 7424 KB Output is correct
5 Correct 6 ms 7424 KB Output is correct
6 Correct 6 ms 7424 KB Output is correct
7 Correct 6 ms 7424 KB Output is correct
8 Correct 5 ms 7424 KB Output is correct
9 Correct 6 ms 7424 KB Output is correct
10 Correct 5 ms 7424 KB Output is correct
11 Correct 5 ms 7424 KB Output is correct
12 Correct 5 ms 7424 KB Output is correct
13 Correct 5 ms 7424 KB Output is correct
14 Correct 5 ms 7424 KB Output is correct
15 Correct 5 ms 7424 KB Output is correct
16 Correct 7 ms 7424 KB Output is correct
17 Correct 5 ms 7424 KB Output is correct
18 Correct 5 ms 7424 KB Output is correct
19 Correct 9 ms 7680 KB Output is correct
20 Correct 9 ms 7680 KB Output is correct
21 Correct 9 ms 7680 KB Output is correct
22 Correct 12 ms 7808 KB Output is correct
23 Correct 12 ms 7680 KB Output is correct
24 Correct 12 ms 7680 KB Output is correct
25 Correct 12 ms 7808 KB Output is correct
26 Correct 12 ms 7768 KB Output is correct
27 Correct 13 ms 7936 KB Output is correct
28 Correct 12 ms 7936 KB Output is correct
29 Correct 16 ms 7936 KB Output is correct
30 Correct 20 ms 7936 KB Output is correct
31 Correct 20 ms 7936 KB Output is correct
32 Correct 20 ms 8064 KB Output is correct
33 Correct 111 ms 12140 KB Output is correct
34 Correct 99 ms 12264 KB Output is correct
35 Correct 106 ms 12392 KB Output is correct
36 Correct 201 ms 13092 KB Output is correct
37 Correct 213 ms 15720 KB Output is correct
38 Correct 203 ms 15724 KB Output is correct
39 Correct 478 ms 15056 KB Output is correct
40 Correct 451 ms 15064 KB Output is correct
41 Correct 461 ms 15056 KB Output is correct
42 Correct 94 ms 14060 KB Output is correct
43 Correct 121 ms 16872 KB Output is correct
44 Correct 121 ms 16744 KB Output is correct
45 Correct 125 ms 16748 KB Output is correct
46 Correct 119 ms 16748 KB Output is correct
47 Correct 114 ms 16748 KB Output is correct
48 Correct 118 ms 16744 KB Output is correct
49 Correct 116 ms 16744 KB Output is correct
50 Correct 114 ms 16732 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 7424 KB Output is correct
2 Correct 5 ms 7424 KB Output is correct
3 Correct 6 ms 7552 KB Output is correct
4 Correct 5 ms 7424 KB Output is correct
5 Correct 6 ms 7424 KB Output is correct
6 Correct 6 ms 7424 KB Output is correct
7 Correct 6 ms 7424 KB Output is correct
8 Correct 5 ms 7424 KB Output is correct
9 Correct 6 ms 7424 KB Output is correct
10 Correct 5 ms 7424 KB Output is correct
11 Correct 5 ms 7424 KB Output is correct
12 Correct 5 ms 7424 KB Output is correct
13 Correct 5 ms 7424 KB Output is correct
14 Correct 5 ms 7424 KB Output is correct
15 Correct 5 ms 7424 KB Output is correct
16 Correct 7 ms 7424 KB Output is correct
17 Correct 5 ms 7424 KB Output is correct
18 Correct 5 ms 7424 KB Output is correct
19 Correct 9 ms 7680 KB Output is correct
20 Correct 9 ms 7680 KB Output is correct
21 Correct 9 ms 7680 KB Output is correct
22 Correct 12 ms 7808 KB Output is correct
23 Correct 12 ms 7680 KB Output is correct
24 Correct 12 ms 7680 KB Output is correct
25 Correct 12 ms 7808 KB Output is correct
26 Correct 12 ms 7768 KB Output is correct
27 Correct 257 ms 21444 KB Output is correct
28 Correct 242 ms 22600 KB Output is correct
29 Correct 236 ms 23500 KB Output is correct
30 Correct 237 ms 21352 KB Output is correct
31 Correct 284 ms 22476 KB Output is correct
32 Correct 433 ms 29268 KB Output is correct
33 Correct 307 ms 27856 KB Output is correct
34 Correct 322 ms 27732 KB Output is correct
35 Correct 4 ms 7424 KB Output is correct
36 Correct 197 ms 13032 KB Output is correct
37 Correct 728 ms 32680 KB Output is correct
38 Correct 758 ms 32664 KB Output is correct
39 Correct 654 ms 33280 KB Output is correct
40 Correct 267 ms 20832 KB Output is correct
41 Correct 133 ms 14316 KB Output is correct
42 Correct 28 ms 8952 KB Output is correct
43 Correct 842 ms 35148 KB Output is correct
44 Correct 606 ms 34380 KB Output is correct
45 Correct 458 ms 23608 KB Output is correct
46 Correct 501 ms 35408 KB Output is correct
47 Correct 307 ms 30296 KB Output is correct
48 Correct 518 ms 34900 KB Output is correct
49 Correct 488 ms 35412 KB Output is correct
50 Correct 290 ms 29392 KB Output is correct
51 Correct 13 ms 7936 KB Output is correct
52 Correct 12 ms 7936 KB Output is correct
53 Correct 16 ms 7936 KB Output is correct
54 Correct 20 ms 7936 KB Output is correct
55 Correct 20 ms 7936 KB Output is correct
56 Correct 20 ms 8064 KB Output is correct
57 Correct 111 ms 12140 KB Output is correct
58 Correct 99 ms 12264 KB Output is correct
59 Correct 106 ms 12392 KB Output is correct
60 Correct 201 ms 13092 KB Output is correct
61 Correct 213 ms 15720 KB Output is correct
62 Correct 203 ms 15724 KB Output is correct
63 Correct 478 ms 15056 KB Output is correct
64 Correct 451 ms 15064 KB Output is correct
65 Correct 461 ms 15056 KB Output is correct
66 Correct 94 ms 14060 KB Output is correct
67 Correct 121 ms 16872 KB Output is correct
68 Correct 121 ms 16744 KB Output is correct
69 Correct 125 ms 16748 KB Output is correct
70 Correct 119 ms 16748 KB Output is correct
71 Correct 114 ms 16748 KB Output is correct
72 Correct 118 ms 16744 KB Output is correct
73 Correct 116 ms 16744 KB Output is correct
74 Correct 114 ms 16732 KB Output is correct
75 Correct 343 ms 32460 KB Output is correct
76 Correct 307 ms 31824 KB Output is correct
77 Correct 322 ms 30276 KB Output is correct
78 Correct 316 ms 30024 KB Output is correct
79 Correct 357 ms 30420 KB Output is correct
80 Correct 346 ms 30152 KB Output is correct
81 Correct 744 ms 32392 KB Output is correct
82 Correct 760 ms 32204 KB Output is correct
83 Correct 838 ms 32328 KB Output is correct
84 Correct 705 ms 32720 KB Output is correct
85 Correct 759 ms 32348 KB Output is correct
86 Correct 783 ms 32364 KB Output is correct
87 Correct 651 ms 33512 KB Output is correct
88 Correct 1362 ms 28360 KB Output is correct
89 Correct 1585 ms 30788 KB Output is correct
90 Correct 1477 ms 30784 KB Output is correct
91 Correct 1392 ms 30916 KB Output is correct
92 Correct 1064 ms 30784 KB Output is correct
93 Correct 726 ms 35028 KB Output is correct
94 Correct 438 ms 30796 KB Output is correct
95 Correct 776 ms 35156 KB Output is correct
96 Correct 829 ms 34876 KB Output is correct
97 Correct 525 ms 30924 KB Output is correct
98 Correct 547 ms 31780 KB Output is correct
99 Correct 792 ms 35280 KB Output is correct
100 Correct 633 ms 35028 KB Output is correct
101 Correct 565 ms 30800 KB Output is correct
102 Correct 731 ms 34772 KB Output is correct
103 Correct 530 ms 31052 KB Output is correct
104 Correct 760 ms 34900 KB Output is correct
105 Correct 283 ms 28244 KB Output is correct
106 Correct 387 ms 33872 KB Output is correct
107 Correct 387 ms 34000 KB Output is correct
108 Correct 402 ms 34004 KB Output is correct
109 Correct 396 ms 34004 KB Output is correct
110 Correct 390 ms 33996 KB Output is correct
111 Correct 386 ms 33996 KB Output is correct
112 Correct 393 ms 33876 KB Output is correct
113 Correct 443 ms 34000 KB Output is correct
114 Correct 379 ms 33876 KB Output is correct
115 Correct 391 ms 34124 KB Output is correct
116 Correct 381 ms 35156 KB Output is correct