oj.uz

Submission #679050

# Submission time Handle Problem Language Result Execution time Memory
679050 2023-01-07T10:38:38 Z Cross_Ratio Circle selection (APIO18_circle_selection) C++14
100 / 100
 1833 ms 238172 KB 
#include <bits/stdc++.h>
#define int long long
using namespace std;
array<int, 3> A[300005];
const int INF = 2e9 + 1;
unordered_map<int, vector<int>> M[31];
int pw2[33];
int ans[300005];
int dx[9] = {-1,-1,-1,0,0,0,1,1,1};
int dy[9] = {-1,0,1,-1,0,1,-1,0,1};
bool inter(int a, int b) {
    int k = 1LL * (A[a][0]-A[b][0])*(A[a][0]-A[b][0]);
    k += 1LL * (A[a][1]-A[b][1])*(A[a][1]-A[b][1]);
    return k <= 1LL*(A[a][2]+A[b][2])*(A[a][2]+A[b][2]);
}
bool vis[33];
signed main() {
    cin.sync_with_stdio(false);
    cin.tie(0);
    cout.tie(0);
    int i, j;
    pw2[0] = 1;
    for(i=1;i<33;i++) pw2[i] = pw2[i-1] * 2;
    int N;
    cin >> N;
    for(i=0;i<N;i++) cin >> A[i][0] >> A[i][1] >> A[i][2];
    for(i=0;i<N;i++) {
        A[i][0] += (int)1e9;
        A[i][1] += (int)1e9;
    }
    vector<array<int, 2>> V;
    for(i=0;i<N;i++) V.push_back({A[i][2], i});
    sort(V.begin(),V.end(), [](array<int, 2> x, array<int,2> y) {
         if(x[0]==y[0]) return x[1]<y[1];
         return x[0]>y[0];
         });
    for(i=0;i<N;i++) ans[i] = -1;
    for(i=0;i<N;i++) {
        int id = V[i][1];
        if(ans[id]!=-1) continue;
        ans[id] = id;
        int k = 0;
        while(2*A[id][2]>pw2[k+1]) k++;
        if(!vis[k]) {
            for(j=0;j<N;j++) {
                if(ans[j]!=-1) continue;
                M[k][INF*(A[j][0]/pw2[k+1])+A[j][1]/pw2[k+1]].push_back(j);
            }
            vis[k] = true;
        }
        //cout << id << ' ' << k << '\n';
        int x1 = A[id][0]/pw2[k+1], x2 = A[id][1]/pw2[k+1];
        for(j=0;j<9;j++) {
            for(int v : M[k][INF*(x1+dx[j])+x2+dy[j]]) {
                //cout << k << ' ' << x1+dx[j] << ' ' << x2 + dy[j] << ' ' << v << '\n';
                if(ans[v]!=-1||inter(v, id)) {
                    if(ans[v]==-1) ans[v] = id;
                }
            }
        }
    }
    for(i=0;i<N;i++) cout << ans[i] + 1 << ' ';
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 3 ms 868 KB Output is correct
20 Correct 3 ms 912 KB Output is correct
21 Correct 3 ms 860 KB Output is correct
22 Correct 11 ms 4016 KB Output is correct
23 Correct 12 ms 4412 KB Output is correct
24 Correct 13 ms 4064 KB Output is correct
25 Correct 11 ms 4132 KB Output is correct
26 Correct 13 ms 4412 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 138 ms 26900 KB Output is correct
2 Correct 140 ms 27820 KB Output is correct
3 Correct 139 ms 29092 KB Output is correct
4 Correct 140 ms 29736 KB Output is correct
5 Correct 169 ms 25808 KB Output is correct
6 Correct 427 ms 67628 KB Output is correct
7 Correct 203 ms 29880 KB Output is correct
8 Correct 211 ms 35136 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 434 ms 79196 KB Output is correct
3 Correct 1656 ms 223996 KB Output is correct
4 Correct 1619 ms 225232 KB Output is correct
5 Correct 1313 ms 178308 KB Output is correct
6 Correct 450 ms 67308 KB Output is correct
7 Correct 183 ms 34624 KB Output is correct
8 Correct 24 ms 6972 KB Output is correct
9 Correct 1833 ms 236668 KB Output is correct
10 Correct 1037 ms 122844 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1229 ms 183448 KB Output is correct
2 Correct 1247 ms 182692 KB Output is correct
3 Correct 203 ms 29792 KB Output is correct
4 Correct 1233 ms 183108 KB Output is correct
5 Correct 1198 ms 183260 KB Output is correct
6 Correct 166 ms 28716 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 3 ms 868 KB Output is correct
20 Correct 3 ms 912 KB Output is correct
21 Correct 3 ms 860 KB Output is correct
22 Correct 11 ms 4016 KB Output is correct
23 Correct 12 ms 4412 KB Output is correct
24 Correct 13 ms 4064 KB Output is correct
25 Correct 11 ms 4132 KB Output is correct
26 Correct 13 ms 4412 KB Output is correct
27 Correct 6 ms 1368 KB Output is correct
28 Correct 5 ms 1264 KB Output is correct
29 Correct 5 ms 1368 KB Output is correct
30 Correct 24 ms 7736 KB Output is correct
31 Correct 27 ms 8564 KB Output is correct
32 Correct 23 ms 7604 KB Output is correct
33 Correct 49 ms 10444 KB Output is correct
34 Correct 51 ms 10560 KB Output is correct
35 Correct 60 ms 10244 KB Output is correct
36 Correct 443 ms 80888 KB Output is correct
37 Correct 446 ms 79332 KB Output is correct
38 Correct 447 ms 81336 KB Output is correct
39 Correct 176 ms 28728 KB Output is correct
40 Correct 177 ms 28768 KB Output is correct
41 Correct 190 ms 28752 KB Output is correct
42 Correct 63 ms 9932 KB Output is correct
43 Correct 337 ms 61052 KB Output is correct
44 Correct 348 ms 60900 KB Output is correct
45 Correct 353 ms 60992 KB Output is correct
46 Correct 419 ms 61016 KB Output is correct
47 Correct 355 ms 61052 KB Output is correct
48 Correct 356 ms 60992 KB Output is correct
49 Correct 334 ms 60996 KB Output is correct
50 Correct 384 ms 60996 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 340 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 340 KB Output is correct
6 Correct 0 ms 340 KB Output is correct
7 Correct 1 ms 340 KB Output is correct
8 Correct 1 ms 336 KB Output is correct
9 Correct 0 ms 340 KB Output is correct
10 Correct 0 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 340 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 348 KB Output is correct
17 Correct 1 ms 348 KB Output is correct
18 Correct 1 ms 340 KB Output is correct
19 Correct 3 ms 868 KB Output is correct
20 Correct 3 ms 912 KB Output is correct
21 Correct 3 ms 860 KB Output is correct
22 Correct 11 ms 4016 KB Output is correct
23 Correct 12 ms 4412 KB Output is correct
24 Correct 13 ms 4064 KB Output is correct
25 Correct 11 ms 4132 KB Output is correct
26 Correct 13 ms 4412 KB Output is correct
27 Correct 138 ms 26900 KB Output is correct
28 Correct 140 ms 27820 KB Output is correct
29 Correct 139 ms 29092 KB Output is correct
30 Correct 140 ms 29736 KB Output is correct
31 Correct 169 ms 25808 KB Output is correct
32 Correct 427 ms 67628 KB Output is correct
33 Correct 203 ms 29880 KB Output is correct
34 Correct 211 ms 35136 KB Output is correct
35 Correct 1 ms 340 KB Output is correct
36 Correct 434 ms 79196 KB Output is correct
37 Correct 1656 ms 223996 KB Output is correct
38 Correct 1619 ms 225232 KB Output is correct
39 Correct 1313 ms 178308 KB Output is correct
40 Correct 450 ms 67308 KB Output is correct
41 Correct 183 ms 34624 KB Output is correct
42 Correct 24 ms 6972 KB Output is correct
43 Correct 1833 ms 236668 KB Output is correct
44 Correct 1037 ms 122844 KB Output is correct
45 Correct 1229 ms 183448 KB Output is correct
46 Correct 1247 ms 182692 KB Output is correct
47 Correct 203 ms 29792 KB Output is correct
48 Correct 1233 ms 183108 KB Output is correct
49 Correct 1198 ms 183260 KB Output is correct
50 Correct 166 ms 28716 KB Output is correct
51 Correct 6 ms 1368 KB Output is correct
52 Correct 5 ms 1264 KB Output is correct
53 Correct 5 ms 1368 KB Output is correct
54 Correct 24 ms 7736 KB Output is correct
55 Correct 27 ms 8564 KB Output is correct
56 Correct 23 ms 7604 KB Output is correct
57 Correct 49 ms 10444 KB Output is correct
58 Correct 51 ms 10560 KB Output is correct
59 Correct 60 ms 10244 KB Output is correct
60 Correct 443 ms 80888 KB Output is correct
61 Correct 446 ms 79332 KB Output is correct
62 Correct 447 ms 81336 KB Output is correct
63 Correct 176 ms 28728 KB Output is correct
64 Correct 177 ms 28768 KB Output is correct
65 Correct 190 ms 28752 KB Output is correct
66 Correct 63 ms 9932 KB Output is correct
67 Correct 337 ms 61052 KB Output is correct
68 Correct 348 ms 60900 KB Output is correct
69 Correct 353 ms 60992 KB Output is correct
70 Correct 419 ms 61016 KB Output is correct
71 Correct 355 ms 61052 KB Output is correct
72 Correct 356 ms 60992 KB Output is correct
73 Correct 334 ms 60996 KB Output is correct
74 Correct 384 ms 60996 KB Output is correct
75 Correct 166 ms 31924 KB Output is correct
76 Correct 163 ms 28896 KB Output is correct
77 Correct 147 ms 29120 KB Output is correct
78 Correct 150 ms 31660 KB Output is correct
79 Correct 214 ms 29432 KB Output is correct
80 Correct 147 ms 31660 KB Output is correct
81 Correct 1737 ms 238172 KB Output is correct
82 Correct 1713 ms 218820 KB Output is correct
83 Correct 1651 ms 226424 KB Output is correct
84 Correct 1622 ms 222180 KB Output is correct
85 Correct 1615 ms 222928 KB Output is correct
86 Correct 1605 ms 219600 KB Output is correct
87 Correct 1664 ms 213952 KB Output is correct
88 Correct 781 ms 84048 KB Output is correct
89 Correct 774 ms 84148 KB Output is correct
90 Correct 769 ms 84108 KB Output is correct
91 Correct 755 ms 84032 KB Output is correct
92 Correct 737 ms 84068 KB Output is correct
93 Correct 1699 ms 227036 KB Output is correct
94 Correct 1549 ms 213952 KB Output is correct
95 Correct 1580 ms 225480 KB Output is correct
96 Correct 1733 ms 224372 KB Output is correct
97 Correct 1692 ms 220132 KB Output is correct
98 Correct 515 ms 78800 KB Output is correct
99 Correct 1787 ms 222156 KB Output is correct
100 Correct 1782 ms 217160 KB Output is correct
101 Correct 675 ms 89792 KB Output is correct
102 Correct 1564 ms 205680 KB Output is correct
103 Correct 1626 ms 213084 KB Output is correct
104 Correct 1678 ms 218392 KB Output is correct
105 Correct 288 ms 29636 KB Output is correct
106 Correct 841 ms 137228 KB Output is correct
107 Correct 941 ms 137348 KB Output is correct
108 Correct 1113 ms 137268 KB Output is correct
109 Correct 885 ms 137428 KB Output is correct
110 Correct 1605 ms 137248 KB Output is correct
111 Correct 1246 ms 137328 KB Output is correct
112 Correct 925 ms 137392 KB Output is correct
113 Correct 1143 ms 137260 KB Output is correct
114 Correct 986 ms 137332 KB Output is correct
115 Correct 911 ms 137324 KB Output is correct
116 Correct 924 ms 137132 KB Output is correct