oj.uz

Submission #482429

# Submission time Handle Problem Language Result Execution time Memory
482429 2021-10-24T14:33:55 Z oToToT Circle selection (APIO18_circle_selection) C++17
100 / 100
 2287 ms 330812 KB 
#pragma GCC optimize( "O3" )
#include <bits/stdc++.h>
using namespace std;
const int N = 300000 + 5;
const int C = 1000000000;
template < typename A, typename B >
using UMP = unordered_map< A, B >;
using lld = int64_t;

int n;
vector< int > ord;
lld x[ N ], y[ N ], r[ N ];

inline bool inter( int i, int j ) {
	const lld ox = x[ i ] - x[ j ];
	const lld oy = y[ i ] - y[ j ];
	const lld R = r[ i ] + r[ j ];
	return ox * ox + oy * oy <= R * R;
}

void init() {
	cin >> n;
	for ( int i = 0 ; i < n ; ++ i )
		cin >> x[ i ] >> y[ i ] >> r[ i ];
	for ( int i = 0 ; i < n ; ++ i )
		x[ i ] += C, y[ i ] += C;

	ord.resize( n );
	iota( ord.begin(), ord.end(), 0 );
	sort( ord.begin(), ord.end(), []( int a, int b ) {
		return tie( r[ a ], b ) > tie( r[ b ], a );
	} );
}

UMP< lld, UMP< lld, vector< int > > > plane;
int ans[ N ];
int LogL = 32;
lld unit = 1;
inline void build() {
	plane.clear(); plane.rehash( n );
	for ( int i = 0 ; i < n ; ++ i ) {
		if ( ans[ i ] ) continue;
		plane[ x[ i ] >> LogL ][ y[ i ] >> LogL ].push_back( i );
	}
}

const int dx[] = { -1, 0, 1 }, dy[] = { -1, 0, 1 };

void solve() {
	build();
	for ( int i : ord ) {
		if ( ans[ i ] ) continue;
		ans[ i ] = i + 1;
		int pLogL = LogL;
		while( ( unit << ( -- LogL ) ) > r[ i ] + r[ i ] );
		if ( pLogL != ++ LogL ) build();
		lld X = x[ i ] >> LogL, Y = y[ i ] >> LogL;
		for ( int i_ = 0 ; i_ < 3 ; ++ i_ ) {
			for ( int j_ = 0 ; j_ < 3 ; ++ j_ ) {
				for ( int j : plane[ X + dx[ i_ ] ][ Y + dy[ j_ ] ] ) {
					if ( ans[ j ] ) continue;
					if ( inter( i, j ) ) ans[ j ] = i + 1;
				}
			}
		}
	}
	for ( int i = 0 ; i < n ; ++ i )
		cout << ans[ i ] << " \n"[ i == n - 1 ];
}

int main() {
	ios_base::sync_with_stdio( false );
	cin.tie( nullptr );
	init(); solve();
	return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 328 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 4 ms 716 KB Output is correct
20 Correct 3 ms 716 KB Output is correct
21 Correct 3 ms 716 KB Output is correct
22 Correct 10 ms 2252 KB Output is correct
23 Correct 14 ms 2168 KB Output is correct
24 Correct 10 ms 2252 KB Output is correct
25 Correct 12 ms 3416 KB Output is correct
26 Correct 9 ms 2596 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 155 ms 22936 KB Output is correct
2 Correct 174 ms 23584 KB Output is correct
3 Correct 148 ms 23776 KB Output is correct
4 Correct 158 ms 22216 KB Output is correct
5 Correct 177 ms 21220 KB Output is correct
6 Correct 535 ms 43412 KB Output is correct
7 Correct 209 ms 22400 KB Output is correct
8 Correct 234 ms 26656 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 561 ms 33512 KB Output is correct
3 Correct 2209 ms 99576 KB Output is correct
4 Correct 2081 ms 96848 KB Output is correct
5 Correct 1660 ms 73732 KB Output is correct
6 Correct 576 ms 35400 KB Output is correct
7 Correct 222 ms 24488 KB Output is correct
8 Correct 23 ms 5492 KB Output is correct
9 Correct 2287 ms 89580 KB Output is correct
10 Correct 1247 ms 67848 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1697 ms 189032 KB Output is correct
2 Correct 1057 ms 330812 KB Output is correct
3 Correct 219 ms 25760 KB Output is correct
4 Correct 909 ms 254848 KB Output is correct
5 Correct 1055 ms 303000 KB Output is correct
6 Correct 175 ms 24412 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 328 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 4 ms 716 KB Output is correct
20 Correct 3 ms 716 KB Output is correct
21 Correct 3 ms 716 KB Output is correct
22 Correct 10 ms 2252 KB Output is correct
23 Correct 14 ms 2168 KB Output is correct
24 Correct 10 ms 2252 KB Output is correct
25 Correct 12 ms 3416 KB Output is correct
26 Correct 9 ms 2596 KB Output is correct
27 Correct 6 ms 1180 KB Output is correct
28 Correct 8 ms 1100 KB Output is correct
29 Correct 6 ms 1100 KB Output is correct
30 Correct 23 ms 4292 KB Output is correct
31 Correct 23 ms 4556 KB Output is correct
32 Correct 24 ms 4020 KB Output is correct
33 Correct 52 ms 8892 KB Output is correct
34 Correct 52 ms 8892 KB Output is correct
35 Correct 53 ms 7996 KB Output is correct
36 Correct 565 ms 38432 KB Output is correct
37 Correct 537 ms 35120 KB Output is correct
38 Correct 645 ms 37792 KB Output is correct
39 Correct 169 ms 8188 KB Output is correct
40 Correct 152 ms 8152 KB Output is correct
41 Correct 142 ms 8200 KB Output is correct
42 Correct 67 ms 8504 KB Output is correct
43 Correct 293 ms 94836 KB Output is correct
44 Correct 301 ms 95048 KB Output is correct
45 Correct 297 ms 95016 KB Output is correct
46 Correct 300 ms 95040 KB Output is correct
47 Correct 305 ms 95148 KB Output is correct
48 Correct 295 ms 95036 KB Output is correct
49 Correct 306 ms 95200 KB Output is correct
50 Correct 293 ms 95076 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB Output is correct
2 Correct 0 ms 328 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 0 ms 332 KB Output is correct
6 Correct 1 ms 332 KB Output is correct
7 Correct 0 ms 332 KB Output is correct
8 Correct 1 ms 332 KB Output is correct
9 Correct 1 ms 332 KB Output is correct
10 Correct 1 ms 332 KB Output is correct
11 Correct 1 ms 332 KB Output is correct
12 Correct 1 ms 332 KB Output is correct
13 Correct 1 ms 332 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 332 KB Output is correct
16 Correct 1 ms 332 KB Output is correct
17 Correct 1 ms 332 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 4 ms 716 KB Output is correct
20 Correct 3 ms 716 KB Output is correct
21 Correct 3 ms 716 KB Output is correct
22 Correct 10 ms 2252 KB Output is correct
23 Correct 14 ms 2168 KB Output is correct
24 Correct 10 ms 2252 KB Output is correct
25 Correct 12 ms 3416 KB Output is correct
26 Correct 9 ms 2596 KB Output is correct
27 Correct 155 ms 22936 KB Output is correct
28 Correct 174 ms 23584 KB Output is correct
29 Correct 148 ms 23776 KB Output is correct
30 Correct 158 ms 22216 KB Output is correct
31 Correct 177 ms 21220 KB Output is correct
32 Correct 535 ms 43412 KB Output is correct
33 Correct 209 ms 22400 KB Output is correct
34 Correct 234 ms 26656 KB Output is correct
35 Correct 1 ms 332 KB Output is correct
36 Correct 561 ms 33512 KB Output is correct
37 Correct 2209 ms 99576 KB Output is correct
38 Correct 2081 ms 96848 KB Output is correct
39 Correct 1660 ms 73732 KB Output is correct
40 Correct 576 ms 35400 KB Output is correct
41 Correct 222 ms 24488 KB Output is correct
42 Correct 23 ms 5492 KB Output is correct
43 Correct 2287 ms 89580 KB Output is correct
44 Correct 1247 ms 67848 KB Output is correct
45 Correct 1697 ms 189032 KB Output is correct
46 Correct 1057 ms 330812 KB Output is correct
47 Correct 219 ms 25760 KB Output is correct
48 Correct 909 ms 254848 KB Output is correct
49 Correct 1055 ms 303000 KB Output is correct
50 Correct 175 ms 24412 KB Output is correct
51 Correct 6 ms 1180 KB Output is correct
52 Correct 8 ms 1100 KB Output is correct
53 Correct 6 ms 1100 KB Output is correct
54 Correct 23 ms 4292 KB Output is correct
55 Correct 23 ms 4556 KB Output is correct
56 Correct 24 ms 4020 KB Output is correct
57 Correct 52 ms 8892 KB Output is correct
58 Correct 52 ms 8892 KB Output is correct
59 Correct 53 ms 7996 KB Output is correct
60 Correct 565 ms 38432 KB Output is correct
61 Correct 537 ms 35120 KB Output is correct
62 Correct 645 ms 37792 KB Output is correct
63 Correct 169 ms 8188 KB Output is correct
64 Correct 152 ms 8152 KB Output is correct
65 Correct 142 ms 8200 KB Output is correct
66 Correct 67 ms 8504 KB Output is correct
67 Correct 293 ms 94836 KB Output is correct
68 Correct 301 ms 95048 KB Output is correct
69 Correct 297 ms 95016 KB Output is correct
70 Correct 300 ms 95040 KB Output is correct
71 Correct 305 ms 95148 KB Output is correct
72 Correct 295 ms 95036 KB Output is correct
73 Correct 306 ms 95200 KB Output is correct
74 Correct 293 ms 95076 KB Output is correct
75 Correct 169 ms 24720 KB Output is correct
76 Correct 180 ms 24996 KB Output is correct
77 Correct 176 ms 25080 KB Output is correct
78 Correct 157 ms 26204 KB Output is correct
79 Correct 213 ms 25132 KB Output is correct
80 Correct 157 ms 26216 KB Output is correct
81 Correct 2174 ms 114936 KB Output is correct
82 Correct 1840 ms 116376 KB Output is correct
83 Correct 2040 ms 97524 KB Output is correct
84 Correct 1925 ms 94296 KB Output is correct
85 Correct 2089 ms 102828 KB Output is correct
86 Correct 1986 ms 114724 KB Output is correct
87 Correct 1806 ms 86108 KB Output is correct
88 Correct 575 ms 24124 KB Output is correct
89 Correct 586 ms 24136 KB Output is correct
90 Correct 584 ms 24284 KB Output is correct
91 Correct 580 ms 24256 KB Output is correct
92 Correct 565 ms 24080 KB Output is correct
93 Correct 1838 ms 163132 KB Output is correct
94 Correct 1768 ms 110540 KB Output is correct
95 Correct 1819 ms 179264 KB Output is correct
96 Correct 1936 ms 193720 KB Output is correct
97 Correct 1691 ms 110064 KB Output is correct
98 Correct 657 ms 48288 KB Output is correct
99 Correct 1706 ms 177080 KB Output is correct
100 Correct 1603 ms 195976 KB Output is correct
101 Correct 825 ms 47020 KB Output is correct
102 Correct 1552 ms 167608 KB Output is correct
103 Correct 1664 ms 102880 KB Output is correct
104 Correct 1637 ms 201356 KB Output is correct
105 Correct 282 ms 24768 KB Output is correct
106 Correct 669 ms 161684 KB Output is correct
107 Correct 743 ms 162016 KB Output is correct
108 Correct 681 ms 161588 KB Output is correct
109 Correct 667 ms 161440 KB Output is correct
110 Correct 670 ms 161232 KB Output is correct
111 Correct 676 ms 161668 KB Output is correct
112 Correct 676 ms 161504 KB Output is correct
113 Correct 665 ms 161024 KB Output is correct
114 Correct 672 ms 161160 KB Output is correct
115 Correct 676 ms 161768 KB Output is correct
116 Correct 737 ms 221008 KB Output is correct