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Submission #984699

# Submission time Handle Problem Language Result Execution time Memory
984699 2024-05-17T03:08:21 Z huutuan Circle selection (APIO18_circle_selection) C++14
100 / 100
 1925 ms 55192 KB 
#include<bits/stdc++.h>

using namespace std;

#define int long long

const int N=3e5+10;
int n;
pair<int, int> a[N];
int b[N], del[N];
map<pair<int, int>, vector<int>> mp;

bool check(int i, int j){
   return ((a[i].first-a[j].first)*(a[i].first-a[j].first)+(a[i].second-a[j].second)*(a[i].second-a[j].second))<=(b[i]+b[j])*(b[i]+b[j]);
}

int32_t main(){
   ios_base::sync_with_stdio(false);
   cin.tie(nullptr);
   int x=0;
   cin >> n;
   for (int i=1; i<=n; ++i){
      cin >> a[i].first >> a[i].second >> b[i];
      a[i].first+=1e9; a[i].second+=1e9;
      x=max(x, b[i]);
   }
   vector<int> v(n); iota(v.begin(), v.end(), 1);
   sort(v.begin(), v.end(), [&](int k, int l){
      return make_pair(b[k], -k)>make_pair(b[l], -l);
   });
   auto build=[&](){
      mp.clear();
      for (int i=1; i<=n; ++i) if (!del[i]){
         mp[{a[i].first/x, a[i].second/x}].push_back(i);
      }
   };
   build();
   for (int i:v){
      if (del[i]) continue;
      if (b[i]<=x/2){
         x/=2;
         build();
      }
      for (int j=a[i].first/x-2; j<=a[i].first/x+2; ++j){
         for (int k=a[i].second/x-2; k<=a[i].second/x+2; ++k){
            if (!mp.count({j, k})) continue;
            for (int l:mp[{j, k}]) if (!del[l] && check(i, l)) del[l]=i;
         }
      }
   }
   for (int i=1; i<=n; ++i) cout << del[i] << " \n"[i==n];
   return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4440 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4440 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 3 ms 4696 KB Output is correct
20 Correct 2 ms 4700 KB Output is correct
21 Correct 3 ms 4700 KB Output is correct
22 Correct 11 ms 5212 KB Output is correct
23 Correct 13 ms 5212 KB Output is correct
24 Correct 11 ms 5212 KB Output is correct
25 Correct 10 ms 5192 KB Output is correct
26 Correct 11 ms 5212 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 112 ms 14520 KB Output is correct
2 Correct 113 ms 14636 KB Output is correct
3 Correct 137 ms 16296 KB Output is correct
4 Correct 108 ms 15460 KB Output is correct
5 Correct 151 ms 18672 KB Output is correct
6 Correct 553 ms 30940 KB Output is correct
7 Correct 227 ms 20260 KB Output is correct
8 Correct 250 ms 22372 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 384 ms 17484 KB Output is correct
3 Correct 1617 ms 46856 KB Output is correct
4 Correct 1691 ms 55132 KB Output is correct
5 Correct 1521 ms 48584 KB Output is correct
6 Correct 423 ms 26740 KB Output is correct
7 Correct 190 ms 15496 KB Output is correct
8 Correct 26 ms 6748 KB Output is correct
9 Correct 1925 ms 54076 KB Output is correct
10 Correct 1383 ms 47572 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1297 ms 46888 KB Output is correct
2 Correct 918 ms 53908 KB Output is correct
3 Correct 378 ms 34180 KB Output is correct
4 Correct 946 ms 54436 KB Output is correct
5 Correct 881 ms 54472 KB Output is correct
6 Correct 178 ms 28012 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4440 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4440 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 3 ms 4696 KB Output is correct
20 Correct 2 ms 4700 KB Output is correct
21 Correct 3 ms 4700 KB Output is correct
22 Correct 11 ms 5212 KB Output is correct
23 Correct 13 ms 5212 KB Output is correct
24 Correct 11 ms 5212 KB Output is correct
25 Correct 10 ms 5192 KB Output is correct
26 Correct 11 ms 5212 KB Output is correct
27 Correct 5 ms 4700 KB Output is correct
28 Correct 4 ms 4700 KB Output is correct
29 Correct 5 ms 4700 KB Output is correct
30 Correct 27 ms 5720 KB Output is correct
31 Correct 28 ms 5724 KB Output is correct
32 Correct 30 ms 5724 KB Output is correct
33 Correct 39 ms 7652 KB Output is correct
34 Correct 40 ms 7804 KB Output is correct
35 Correct 46 ms 7040 KB Output is correct
36 Correct 312 ms 17596 KB Output is correct
37 Correct 305 ms 17592 KB Output is correct
38 Correct 337 ms 17612 KB Output is correct
39 Correct 362 ms 16180 KB Output is correct
40 Correct 349 ms 16156 KB Output is correct
41 Correct 339 ms 16132 KB Output is correct
42 Correct 209 ms 17576 KB Output is correct
43 Correct 216 ms 17232 KB Output is correct
44 Correct 215 ms 17236 KB Output is correct
45 Correct 225 ms 17344 KB Output is correct
46 Correct 258 ms 17272 KB Output is correct
47 Correct 212 ms 17336 KB Output is correct
48 Correct 221 ms 17232 KB Output is correct
49 Correct 219 ms 17352 KB Output is correct
50 Correct 225 ms 17348 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4444 KB Output is correct
2 Correct 1 ms 4444 KB Output is correct
3 Correct 1 ms 4440 KB Output is correct
4 Correct 1 ms 4444 KB Output is correct
5 Correct 1 ms 4444 KB Output is correct
6 Correct 1 ms 4444 KB Output is correct
7 Correct 1 ms 4444 KB Output is correct
8 Correct 1 ms 4444 KB Output is correct
9 Correct 1 ms 4444 KB Output is correct
10 Correct 1 ms 4444 KB Output is correct
11 Correct 1 ms 4444 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4444 KB Output is correct
14 Correct 1 ms 4444 KB Output is correct
15 Correct 1 ms 4444 KB Output is correct
16 Correct 1 ms 4444 KB Output is correct
17 Correct 1 ms 4440 KB Output is correct
18 Correct 1 ms 4444 KB Output is correct
19 Correct 3 ms 4696 KB Output is correct
20 Correct 2 ms 4700 KB Output is correct
21 Correct 3 ms 4700 KB Output is correct
22 Correct 11 ms 5212 KB Output is correct
23 Correct 13 ms 5212 KB Output is correct
24 Correct 11 ms 5212 KB Output is correct
25 Correct 10 ms 5192 KB Output is correct
26 Correct 11 ms 5212 KB Output is correct
27 Correct 112 ms 14520 KB Output is correct
28 Correct 113 ms 14636 KB Output is correct
29 Correct 137 ms 16296 KB Output is correct
30 Correct 108 ms 15460 KB Output is correct
31 Correct 151 ms 18672 KB Output is correct
32 Correct 553 ms 30940 KB Output is correct
33 Correct 227 ms 20260 KB Output is correct
34 Correct 250 ms 22372 KB Output is correct
35 Correct 1 ms 4444 KB Output is correct
36 Correct 384 ms 17484 KB Output is correct
37 Correct 1617 ms 46856 KB Output is correct
38 Correct 1691 ms 55132 KB Output is correct
39 Correct 1521 ms 48584 KB Output is correct
40 Correct 423 ms 26740 KB Output is correct
41 Correct 190 ms 15496 KB Output is correct
42 Correct 26 ms 6748 KB Output is correct
43 Correct 1925 ms 54076 KB Output is correct
44 Correct 1383 ms 47572 KB Output is correct
45 Correct 1297 ms 46888 KB Output is correct
46 Correct 918 ms 53908 KB Output is correct
47 Correct 378 ms 34180 KB Output is correct
48 Correct 946 ms 54436 KB Output is correct
49 Correct 881 ms 54472 KB Output is correct
50 Correct 178 ms 28012 KB Output is correct
51 Correct 5 ms 4700 KB Output is correct
52 Correct 4 ms 4700 KB Output is correct
53 Correct 5 ms 4700 KB Output is correct
54 Correct 27 ms 5720 KB Output is correct
55 Correct 28 ms 5724 KB Output is correct
56 Correct 30 ms 5724 KB Output is correct
57 Correct 39 ms 7652 KB Output is correct
58 Correct 40 ms 7804 KB Output is correct
59 Correct 46 ms 7040 KB Output is correct
60 Correct 312 ms 17596 KB Output is correct
61 Correct 305 ms 17592 KB Output is correct
62 Correct 337 ms 17612 KB Output is correct
63 Correct 362 ms 16180 KB Output is correct
64 Correct 349 ms 16156 KB Output is correct
65 Correct 339 ms 16132 KB Output is correct
66 Correct 209 ms 17576 KB Output is correct
67 Correct 216 ms 17232 KB Output is correct
68 Correct 215 ms 17236 KB Output is correct
69 Correct 225 ms 17344 KB Output is correct
70 Correct 258 ms 17272 KB Output is correct
71 Correct 212 ms 17336 KB Output is correct
72 Correct 221 ms 17232 KB Output is correct
73 Correct 219 ms 17352 KB Output is correct
74 Correct 225 ms 17348 KB Output is correct
75 Correct 159 ms 24428 KB Output is correct
76 Correct 125 ms 23508 KB Output is correct
77 Correct 123 ms 26836 KB Output is correct
78 Correct 140 ms 25604 KB Output is correct
79 Correct 157 ms 24660 KB Output is correct
80 Correct 149 ms 25716 KB Output is correct
81 Correct 1513 ms 54912 KB Output is correct
82 Correct 1488 ms 54752 KB Output is correct
83 Correct 1572 ms 54688 KB Output is correct
84 Correct 1602 ms 55192 KB Output is correct
85 Correct 1495 ms 54928 KB Output is correct
86 Correct 1358 ms 54968 KB Output is correct
87 Correct 1698 ms 54728 KB Output is correct
88 Correct 1567 ms 45888 KB Output is correct
89 Correct 1365 ms 45852 KB Output is correct
90 Correct 1366 ms 45900 KB Output is correct
91 Correct 1512 ms 46100 KB Output is correct
92 Correct 1353 ms 45864 KB Output is correct
93 Correct 1038 ms 53768 KB Output is correct
94 Correct 1287 ms 54076 KB Output is correct
95 Correct 1070 ms 53796 KB Output is correct
96 Correct 1099 ms 53824 KB Output is correct
97 Correct 1702 ms 53928 KB Output is correct
98 Correct 698 ms 42504 KB Output is correct
99 Correct 1145 ms 53936 KB Output is correct
100 Correct 1025 ms 53696 KB Output is correct
101 Correct 975 ms 47548 KB Output is correct
102 Correct 1056 ms 53360 KB Output is correct
103 Correct 1568 ms 53380 KB Output is correct
104 Correct 1037 ms 53640 KB Output is correct
105 Correct 903 ms 51468 KB Output is correct
106 Correct 814 ms 52468 KB Output is correct
107 Correct 865 ms 52640 KB Output is correct
108 Correct 856 ms 52536 KB Output is correct
109 Correct 882 ms 52492 KB Output is correct
110 Correct 887 ms 52492 KB Output is correct
111 Correct 872 ms 52484 KB Output is correct
112 Correct 901 ms 52488 KB Output is correct
113 Correct 850 ms 52560 KB Output is correct
114 Correct 787 ms 52560 KB Output is correct
115 Correct 786 ms 52488 KB Output is correct
116 Correct 777 ms 52560 KB Output is correct