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Submission #1087261

# Submission time Handle Problem Language Result Execution time Memory
1087261 2024-09-12T11:47:37 Z TrungNotChung Circle selection (APIO18_circle_selection) C++17
100 / 100
 1392 ms 49236 KB 
#include <bits/stdc++.h>
#define pii pair<int, int>
#define fi first
#define se second
#define task "main"

using namespace std;
const int N = (int)3e5 + 10; 

struct Circle {
    int x, y, r, i;
    Circle(int _x = 0, int _y = 0, int _r = 0, int _i = 0) {
        x = _x, y = _y, r = _r, i = _i;
    }
} circles[N];

int n;
int res[N];
 
bool cmp(const Circle &a, const Circle &b){
    if (a.r == b.r) return a.i < b.i;
    return a.r > b.r;
}

bool intersect(const Circle &a, const Circle &b) {
    return 1LL * (a.x - b.x) * (a.x - b.x) + 1LL * (a.y - b.y) * (a.y - b.y) <= 1LL * (a.r + b.r) * (a.r + b.r);
}

void solve() {
    cin >> n;
    for(int i = 0; i < n; i++) {
        cin >> circles[i].x >> circles[i].y >> circles[i].r;
        circles[i].i = i;
    }
    sort (circles, circles + n, cmp);

    memset(res, -1, sizeof res);
    for (int lg = 30; lg >= 0; --lg) {
        int r = (1 << lg);
        map<pii, vector<int> > grid;
        bool found = false;
        for (int i = 0; i < n; ++i) {
            if (res[circles[i].i] == -1 && circles[i].r >= r / 2 && circles[i].r <= r) {
                found = true;
                break;
            }
        }
        if(!found) continue;
        for (int i = 0; i < n; ++i) {
            if (res[circles[i].i] == -1) {
                grid[pii(circles[i].x / r, circles[i].y / r)].push_back(i);
            }
        }

        for (int i = 0; i < n; ++i) {
            if (circles[i].r < r / 2) break;
            if (res[circles[i].i] != -1 || circles[i].r > r) continue;
            for(int x = circles[i].x / r - 2; x <= circles[i].x / r + 2; ++x) {
                for(int y = circles[i].y / r - 2; y <= circles[i].y / r + 2; ++y) {
                    if (grid.find(pii(x, y)) == grid.end()) continue;
                    vector<int> &candidates = grid[pii(x, y)];
                    for (int j = (int)candidates.size() - 1; j >= 0; --j) {
                        int c = candidates[j];
                        if (res[circles[c].i] == -1 && intersect(circles[c], circles[i])) {
                            res[circles[c].i] = circles[i].i;
                            swap (candidates[j], candidates.back());
                            candidates.pop_back();
                        }
                    }
                }
            }
        }
    }

    for(int i = 0; i < n; i++) cout << res[i] + 1 << ' ';
}
 
int main() {
#ifdef LOCAL
    freopen(task".inp", "r", stdin);
    freopen(task".out", "w", stdout);
#endif
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    cout.tie(0);
    solve();
    return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6232 KB Output is correct
2 Correct 3 ms 6232 KB Output is correct
3 Correct 3 ms 6236 KB Output is correct
4 Correct 2 ms 6236 KB Output is correct
5 Correct 2 ms 6184 KB Output is correct
6 Correct 3 ms 6236 KB Output is correct
7 Correct 2 ms 6300 KB Output is correct
8 Correct 2 ms 6236 KB Output is correct
9 Correct 2 ms 6240 KB Output is correct
10 Correct 2 ms 6236 KB Output is correct
11 Correct 2 ms 6236 KB Output is correct
12 Correct 2 ms 6176 KB Output is correct
13 Correct 2 ms 6296 KB Output is correct
14 Correct 3 ms 6232 KB Output is correct
15 Correct 2 ms 6236 KB Output is correct
16 Correct 3 ms 6200 KB Output is correct
17 Correct 4 ms 6488 KB Output is correct
18 Correct 5 ms 6236 KB Output is correct
19 Correct 5 ms 6492 KB Output is correct
20 Correct 4 ms 6488 KB Output is correct
21 Correct 4 ms 6492 KB Output is correct
22 Correct 11 ms 6872 KB Output is correct
23 Correct 13 ms 7028 KB Output is correct
24 Correct 11 ms 7020 KB Output is correct
25 Correct 11 ms 7004 KB Output is correct
26 Correct 12 ms 7008 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 116 ms 15136 KB Output is correct
2 Correct 147 ms 15948 KB Output is correct
3 Correct 118 ms 15176 KB Output is correct
4 Correct 112 ms 15132 KB Output is correct
5 Correct 174 ms 15124 KB Output is correct
6 Correct 463 ms 25488 KB Output is correct
7 Correct 228 ms 16212 KB Output is correct
8 Correct 244 ms 18576 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 6488 KB Output is correct
2 Correct 327 ms 20512 KB Output is correct
3 Correct 1206 ms 49232 KB Output is correct
4 Correct 1226 ms 49232 KB Output is correct
5 Correct 1180 ms 43660 KB Output is correct
6 Correct 399 ms 24656 KB Output is correct
7 Correct 176 ms 15952 KB Output is correct
8 Correct 25 ms 8284 KB Output is correct
9 Correct 1392 ms 47928 KB Output is correct
10 Correct 1018 ms 40840 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1020 ms 48980 KB Output is correct
2 Correct 753 ms 48216 KB Output is correct
3 Correct 258 ms 24144 KB Output is correct
4 Correct 773 ms 48400 KB Output is correct
5 Correct 726 ms 48556 KB Output is correct
6 Correct 167 ms 19200 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6232 KB Output is correct
2 Correct 3 ms 6232 KB Output is correct
3 Correct 3 ms 6236 KB Output is correct
4 Correct 2 ms 6236 KB Output is correct
5 Correct 2 ms 6184 KB Output is correct
6 Correct 3 ms 6236 KB Output is correct
7 Correct 2 ms 6300 KB Output is correct
8 Correct 2 ms 6236 KB Output is correct
9 Correct 2 ms 6240 KB Output is correct
10 Correct 2 ms 6236 KB Output is correct
11 Correct 2 ms 6236 KB Output is correct
12 Correct 2 ms 6176 KB Output is correct
13 Correct 2 ms 6296 KB Output is correct
14 Correct 3 ms 6232 KB Output is correct
15 Correct 2 ms 6236 KB Output is correct
16 Correct 3 ms 6200 KB Output is correct
17 Correct 4 ms 6488 KB Output is correct
18 Correct 5 ms 6236 KB Output is correct
19 Correct 5 ms 6492 KB Output is correct
20 Correct 4 ms 6488 KB Output is correct
21 Correct 4 ms 6492 KB Output is correct
22 Correct 11 ms 6872 KB Output is correct
23 Correct 13 ms 7028 KB Output is correct
24 Correct 11 ms 7020 KB Output is correct
25 Correct 11 ms 7004 KB Output is correct
26 Correct 12 ms 7008 KB Output is correct
27 Correct 6 ms 6748 KB Output is correct
28 Correct 6 ms 6748 KB Output is correct
29 Correct 6 ms 6748 KB Output is correct
30 Correct 25 ms 7476 KB Output is correct
31 Correct 24 ms 7576 KB Output is correct
32 Correct 22 ms 7512 KB Output is correct
33 Correct 42 ms 10120 KB Output is correct
34 Correct 40 ms 10012 KB Output is correct
35 Correct 46 ms 9852 KB Output is correct
36 Correct 284 ms 20304 KB Output is correct
37 Correct 271 ms 20372 KB Output is correct
38 Correct 298 ms 20420 KB Output is correct
39 Correct 240 ms 13904 KB Output is correct
40 Correct 243 ms 13912 KB Output is correct
41 Correct 248 ms 13992 KB Output is correct
42 Correct 158 ms 15120 KB Output is correct
43 Correct 225 ms 19968 KB Output is correct
44 Correct 196 ms 20052 KB Output is correct
45 Correct 193 ms 20052 KB Output is correct
46 Correct 196 ms 20048 KB Output is correct
47 Correct 187 ms 20052 KB Output is correct
48 Correct 190 ms 20108 KB Output is correct
49 Correct 185 ms 20048 KB Output is correct
50 Correct 186 ms 20048 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 6232 KB Output is correct
2 Correct 3 ms 6232 KB Output is correct
3 Correct 3 ms 6236 KB Output is correct
4 Correct 2 ms 6236 KB Output is correct
5 Correct 2 ms 6184 KB Output is correct
6 Correct 3 ms 6236 KB Output is correct
7 Correct 2 ms 6300 KB Output is correct
8 Correct 2 ms 6236 KB Output is correct
9 Correct 2 ms 6240 KB Output is correct
10 Correct 2 ms 6236 KB Output is correct
11 Correct 2 ms 6236 KB Output is correct
12 Correct 2 ms 6176 KB Output is correct
13 Correct 2 ms 6296 KB Output is correct
14 Correct 3 ms 6232 KB Output is correct
15 Correct 2 ms 6236 KB Output is correct
16 Correct 3 ms 6200 KB Output is correct
17 Correct 4 ms 6488 KB Output is correct
18 Correct 5 ms 6236 KB Output is correct
19 Correct 5 ms 6492 KB Output is correct
20 Correct 4 ms 6488 KB Output is correct
21 Correct 4 ms 6492 KB Output is correct
22 Correct 11 ms 6872 KB Output is correct
23 Correct 13 ms 7028 KB Output is correct
24 Correct 11 ms 7020 KB Output is correct
25 Correct 11 ms 7004 KB Output is correct
26 Correct 12 ms 7008 KB Output is correct
27 Correct 116 ms 15136 KB Output is correct
28 Correct 147 ms 15948 KB Output is correct
29 Correct 118 ms 15176 KB Output is correct
30 Correct 112 ms 15132 KB Output is correct
31 Correct 174 ms 15124 KB Output is correct
32 Correct 463 ms 25488 KB Output is correct
33 Correct 228 ms 16212 KB Output is correct
34 Correct 244 ms 18576 KB Output is correct
35 Correct 2 ms 6488 KB Output is correct
36 Correct 327 ms 20512 KB Output is correct
37 Correct 1206 ms 49232 KB Output is correct
38 Correct 1226 ms 49232 KB Output is correct
39 Correct 1180 ms 43660 KB Output is correct
40 Correct 399 ms 24656 KB Output is correct
41 Correct 176 ms 15952 KB Output is correct
42 Correct 25 ms 8284 KB Output is correct
43 Correct 1392 ms 47928 KB Output is correct
44 Correct 1018 ms 40840 KB Output is correct
45 Correct 1020 ms 48980 KB Output is correct
46 Correct 753 ms 48216 KB Output is correct
47 Correct 258 ms 24144 KB Output is correct
48 Correct 773 ms 48400 KB Output is correct
49 Correct 726 ms 48556 KB Output is correct
50 Correct 167 ms 19200 KB Output is correct
51 Correct 6 ms 6748 KB Output is correct
52 Correct 6 ms 6748 KB Output is correct
53 Correct 6 ms 6748 KB Output is correct
54 Correct 25 ms 7476 KB Output is correct
55 Correct 24 ms 7576 KB Output is correct
56 Correct 22 ms 7512 KB Output is correct
57 Correct 42 ms 10120 KB Output is correct
58 Correct 40 ms 10012 KB Output is correct
59 Correct 46 ms 9852 KB Output is correct
60 Correct 284 ms 20304 KB Output is correct
61 Correct 271 ms 20372 KB Output is correct
62 Correct 298 ms 20420 KB Output is correct
63 Correct 240 ms 13904 KB Output is correct
64 Correct 243 ms 13912 KB Output is correct
65 Correct 248 ms 13992 KB Output is correct
66 Correct 158 ms 15120 KB Output is correct
67 Correct 225 ms 19968 KB Output is correct
68 Correct 196 ms 20052 KB Output is correct
69 Correct 193 ms 20052 KB Output is correct
70 Correct 196 ms 20048 KB Output is correct
71 Correct 187 ms 20052 KB Output is correct
72 Correct 190 ms 20108 KB Output is correct
73 Correct 185 ms 20048 KB Output is correct
74 Correct 186 ms 20048 KB Output is correct
75 Correct 141 ms 17560 KB Output is correct
76 Correct 127 ms 17476 KB Output is correct
77 Correct 122 ms 17372 KB Output is correct
78 Correct 120 ms 17356 KB Output is correct
79 Correct 156 ms 17032 KB Output is correct
80 Correct 120 ms 17292 KB Output is correct
81 Correct 1272 ms 49020 KB Output is correct
82 Correct 1031 ms 48840 KB Output is correct
83 Correct 1059 ms 48976 KB Output is correct
84 Correct 1151 ms 49236 KB Output is correct
85 Correct 1055 ms 48980 KB Output is correct
86 Correct 1016 ms 48980 KB Output is correct
87 Correct 1293 ms 48672 KB Output is correct
88 Correct 879 ms 29972 KB Output is correct
89 Correct 849 ms 29912 KB Output is correct
90 Correct 855 ms 30048 KB Output is correct
91 Correct 838 ms 29996 KB Output is correct
92 Correct 845 ms 29952 KB Output is correct
93 Correct 913 ms 47848 KB Output is correct
94 Correct 915 ms 48208 KB Output is correct
95 Correct 966 ms 47956 KB Output is correct
96 Correct 1075 ms 47728 KB Output is correct
97 Correct 1285 ms 47956 KB Output is correct
98 Correct 542 ms 31312 KB Output is correct
99 Correct 912 ms 48208 KB Output is correct
100 Correct 878 ms 47872 KB Output is correct
101 Correct 754 ms 36760 KB Output is correct
102 Correct 877 ms 47440 KB Output is correct
103 Correct 1388 ms 46672 KB Output is correct
104 Correct 899 ms 47876 KB Output is correct
105 Correct 578 ms 32780 KB Output is correct
106 Correct 689 ms 46488 KB Output is correct
107 Correct 665 ms 46596 KB Output is correct
108 Correct 660 ms 46520 KB Output is correct
109 Correct 670 ms 46464 KB Output is correct
110 Correct 672 ms 46476 KB Output is correct
111 Correct 692 ms 46508 KB Output is correct
112 Correct 674 ms 46464 KB Output is correct
113 Correct 667 ms 46528 KB Output is correct
114 Correct 697 ms 46536 KB Output is correct
115 Correct 673 ms 46520 KB Output is correct
116 Correct 673 ms 46416 KB Output is correct