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Submission #1107106

# Submission time Handle Problem Language Result Execution time Memory
1107106 2024-10-31T17:00:47 Z mispertion Circle selection (APIO18_circle_selection) C++17
100 / 100
 2752 ms 86436 KB 
#include<bits/stdc++.h>

using namespace std;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
using ll = long long;
#define int ll
using ld = long double;
using pii = pair<int, int>;
#define F first
#define S second

const ld PI = 3.1415926535;
const int N = 5e5 + 2;
const int M = 2e6 + 1;
int mod = 998244353;
const int infi = INT_MAX;
const ll infl = LLONG_MAX;

int mult(int a, int b) {
    return a * 1LL * b % mod;
}

int sum(int a, int b) {
    if (a + b < 0)
        return a + b + mod;
    if (a + b >= mod)
        return a + b - mod;
    return a + b;
}


ll binpow(ll a, ll n) {
    if (n == 0)
        return 1;
    if (n % 2 == 1) {
        return binpow(a, n - 1) * a % mod;
    } else {
        ll b = binpow(a, n / 2);
        return b * b % mod;
    }
}

int n, ans[N], x[N], y[N], r[N];
int csz = 1e9+1;
set<pair<pii, pii>> cs;
vector<pii> sps;
vector<vector<pair<pii, pii>>> mp;

pii get(int x, int y){
    return {floor((ld)x / (ld)csz), floor((ld)y / (ld)csz)};
}

bool inter(pair<pii, pii> a, pair<pii, pii> b){
    return (((a.S.F - b.S.F) * (a.S.F - b.S.F) + (a.S.S - b.S.S) * (a.S.S - b.S.S)) <= (a.F.F + b.F.F) * (a.F.F + b.F.F));
}

void solve() {
    cin >> n;
    for(int i = 1; i <= n; i++){
        cin >> x[i] >> y[i] >> r[i];
        cs.insert({{r[i], n - i + 1}, {x[i], y[i]}});
        sps.push_back(get(x[i], y[i]));
    }
    sort(sps.begin(), sps.end());
    sps.resize(unique(sps.begin(), sps.end()) - sps.begin());
    mp.resize(sps.size());
    for(int i = 1; i <= n; i++){
        mp[lower_bound(sps.begin(), sps.end(), get(x[i], y[i])) - sps.begin()].push_back({{r[i], n - i + 1}, {x[i], y[i]}});
    }
    while(cs.size() > 0){
        auto e = *cs.rbegin();
        cs.erase(e);
        if(e.F.F <= csz / 2){
            csz = e.F.F;
            sps.clear();
            for(auto e : mp){
                for(auto crc : e){
                    sps.push_back(get(crc.S.F, crc.S.S));
                }
            }
            sort(sps.begin(), sps.end());
            sps.resize(unique(sps.begin(), sps.end()) - sps.begin());
            mp.assign(sps.size(), vector<pair<pii, pii>>());
            for(int i = 1; i <= n; i++){
                if(ans[i] == 0){
                    mp[lower_bound(sps.begin(), sps.end(), get(x[i], y[i])) - sps.begin()].push_back({{r[i], n - i + 1}, {x[i], y[i]}});
                }
            }
        }        
        ans[n - e.F.S + 1] = n - e.F.S + 1;
        pii bl = get(e.S.F, e.S.S);
        for(int x = bl.F - 2; x <= bl.F + 2; x++){
            for(int y = bl.S - 2; y <= bl.S + 2; y++){
                auto ps = lower_bound(sps.begin(), sps.end(), make_pair(x, y));
                if(ps == sps.end() || *ps != make_pair(x, y))
                    continue;
                for(auto crc : mp[ps - sps.begin()]){
                    if(inter(crc, e)){
                        if(ans[n - crc.F.S + 1] == 0){
                            ans[n - crc.F.S + 1] = n - e.F.S + 1;
                            cs.erase(crc);
                        }
                    }
                }
            }
        }
    }
    for(int i = 1; i <= n; i++)
        cout << ans[i] << ' ';
    cout << '\n';
}

signed main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);
    int t = 1;
    //cin >> t;
    while (t--) {
        solve();
    }
    return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4432 KB Output is correct
2 Correct 1 ms 4432 KB Output is correct
3 Correct 1 ms 4432 KB Output is correct
4 Correct 1 ms 4432 KB Output is correct
5 Correct 1 ms 4432 KB Output is correct
6 Correct 1 ms 6480 KB Output is correct
7 Correct 1 ms 4432 KB Output is correct
8 Correct 1 ms 6480 KB Output is correct
9 Correct 1 ms 4432 KB Output is correct
10 Correct 1 ms 4432 KB Output is correct
11 Correct 1 ms 4604 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4432 KB Output is correct
14 Correct 1 ms 4432 KB Output is correct
15 Correct 1 ms 4604 KB Output is correct
16 Correct 2 ms 6736 KB Output is correct
17 Correct 2 ms 4688 KB Output is correct
18 Correct 2 ms 4688 KB Output is correct
19 Correct 5 ms 7248 KB Output is correct
20 Correct 5 ms 7372 KB Output is correct
21 Correct 7 ms 7504 KB Output is correct
22 Correct 15 ms 5580 KB Output is correct
23 Correct 17 ms 5580 KB Output is correct
24 Correct 15 ms 5488 KB Output is correct
25 Correct 15 ms 5340 KB Output is correct
26 Correct 16 ms 5456 KB Output is correct

Subtask #2
12.0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 576 ms 62632 KB Output is correct
2 Correct 621 ms 65664 KB Output is correct
3 Correct 539 ms 63660 KB Output is correct
4 Correct 591 ms 69800 KB Output is correct
5 Correct 603 ms 60188 KB Output is correct
6 Correct 883 ms 68988 KB Output is correct
7 Correct 656 ms 61660 KB Output is correct
8 Correct 690 ms 65140 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4600 KB Output is correct
2 Correct 406 ms 30816 KB Output is correct
3 Correct 1231 ms 70888 KB Output is correct
4 Correct 1306 ms 79028 KB Output is correct
5 Correct 1410 ms 75056 KB Output is correct
6 Correct 582 ms 45384 KB Output is correct
7 Correct 275 ms 28852 KB Output is correct
8 Correct 44 ms 8332 KB Output is correct
9 Correct 1485 ms 78780 KB Output is correct
10 Correct 1281 ms 76180 KB Output is correct

Subtask #4
23.0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 864 ms 67240 KB Output is correct
2 Correct 797 ms 65856 KB Output is correct
3 Correct 643 ms 63656 KB Output is correct
4 Correct 817 ms 69736 KB Output is correct
5 Correct 814 ms 65876 KB Output is correct
6 Correct 555 ms 63912 KB Output is correct

Subtask #5
30.0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4432 KB Output is correct
2 Correct 1 ms 4432 KB Output is correct
3 Correct 1 ms 4432 KB Output is correct
4 Correct 1 ms 4432 KB Output is correct
5 Correct 1 ms 4432 KB Output is correct
6 Correct 1 ms 6480 KB Output is correct
7 Correct 1 ms 4432 KB Output is correct
8 Correct 1 ms 6480 KB Output is correct
9 Correct 1 ms 4432 KB Output is correct
10 Correct 1 ms 4432 KB Output is correct
11 Correct 1 ms 4604 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4432 KB Output is correct
14 Correct 1 ms 4432 KB Output is correct
15 Correct 1 ms 4604 KB Output is correct
16 Correct 2 ms 6736 KB Output is correct
17 Correct 2 ms 4688 KB Output is correct
18 Correct 2 ms 4688 KB Output is correct
19 Correct 5 ms 7248 KB Output is correct
20 Correct 5 ms 7372 KB Output is correct
21 Correct 7 ms 7504 KB Output is correct
22 Correct 15 ms 5580 KB Output is correct
23 Correct 17 ms 5580 KB Output is correct
24 Correct 15 ms 5488 KB Output is correct
25 Correct 15 ms 5340 KB Output is correct
26 Correct 16 ms 5456 KB Output is correct
27 Correct 18 ms 6236 KB Output is correct
28 Correct 17 ms 6356 KB Output is correct
29 Correct 14 ms 6780 KB Output is correct
30 Correct 36 ms 6536 KB Output is correct
31 Correct 32 ms 6868 KB Output is correct
32 Correct 32 ms 6356 KB Output is correct
33 Correct 130 ms 27696 KB Output is correct
34 Correct 111 ms 27700 KB Output is correct
35 Correct 190 ms 29752 KB Output is correct
36 Correct 376 ms 31472 KB Output is correct
37 Correct 379 ms 33012 KB Output is correct
38 Correct 392 ms 31476 KB Output is correct
39 Correct 828 ms 31712 KB Output is correct
40 Correct 827 ms 31492 KB Output is correct
41 Correct 783 ms 32376 KB Output is correct
42 Correct 227 ms 29036 KB Output is correct
43 Correct 251 ms 30600 KB Output is correct
44 Correct 254 ms 30612 KB Output is correct
45 Correct 244 ms 28972 KB Output is correct
46 Correct 262 ms 29036 KB Output is correct
47 Correct 255 ms 29120 KB Output is correct
48 Correct 260 ms 29000 KB Output is correct
49 Correct 239 ms 30624 KB Output is correct
50 Correct 243 ms 30576 KB Output is correct

Subtask #6
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4432 KB Output is correct
2 Correct 1 ms 4432 KB Output is correct
3 Correct 1 ms 4432 KB Output is correct
4 Correct 1 ms 4432 KB Output is correct
5 Correct 1 ms 4432 KB Output is correct
6 Correct 1 ms 6480 KB Output is correct
7 Correct 1 ms 4432 KB Output is correct
8 Correct 1 ms 6480 KB Output is correct
9 Correct 1 ms 4432 KB Output is correct
10 Correct 1 ms 4432 KB Output is correct
11 Correct 1 ms 4604 KB Output is correct
12 Correct 1 ms 4444 KB Output is correct
13 Correct 1 ms 4432 KB Output is correct
14 Correct 1 ms 4432 KB Output is correct
15 Correct 1 ms 4604 KB Output is correct
16 Correct 2 ms 6736 KB Output is correct
17 Correct 2 ms 4688 KB Output is correct
18 Correct 2 ms 4688 KB Output is correct
19 Correct 5 ms 7248 KB Output is correct
20 Correct 5 ms 7372 KB Output is correct
21 Correct 7 ms 7504 KB Output is correct
22 Correct 15 ms 5580 KB Output is correct
23 Correct 17 ms 5580 KB Output is correct
24 Correct 15 ms 5488 KB Output is correct
25 Correct 15 ms 5340 KB Output is correct
26 Correct 16 ms 5456 KB Output is correct
27 Correct 576 ms 62632 KB Output is correct
28 Correct 621 ms 65664 KB Output is correct
29 Correct 539 ms 63660 KB Output is correct
30 Correct 591 ms 69800 KB Output is correct
31 Correct 603 ms 60188 KB Output is correct
32 Correct 883 ms 68988 KB Output is correct
33 Correct 656 ms 61660 KB Output is correct
34 Correct 690 ms 65140 KB Output is correct
35 Correct 1 ms 4600 KB Output is correct
36 Correct 406 ms 30816 KB Output is correct
37 Correct 1231 ms 70888 KB Output is correct
38 Correct 1306 ms 79028 KB Output is correct
39 Correct 1410 ms 75056 KB Output is correct
40 Correct 582 ms 45384 KB Output is correct
41 Correct 275 ms 28852 KB Output is correct
42 Correct 44 ms 8332 KB Output is correct
43 Correct 1485 ms 78780 KB Output is correct
44 Correct 1281 ms 76180 KB Output is correct
45 Correct 864 ms 67240 KB Output is correct
46 Correct 797 ms 65856 KB Output is correct
47 Correct 643 ms 63656 KB Output is correct
48 Correct 817 ms 69736 KB Output is correct
49 Correct 814 ms 65876 KB Output is correct
50 Correct 555 ms 63912 KB Output is correct
51 Correct 18 ms 6236 KB Output is correct
52 Correct 17 ms 6356 KB Output is correct
53 Correct 14 ms 6780 KB Output is correct
54 Correct 36 ms 6536 KB Output is correct
55 Correct 32 ms 6868 KB Output is correct
56 Correct 32 ms 6356 KB Output is correct
57 Correct 130 ms 27696 KB Output is correct
58 Correct 111 ms 27700 KB Output is correct
59 Correct 190 ms 29752 KB Output is correct
60 Correct 376 ms 31472 KB Output is correct
61 Correct 379 ms 33012 KB Output is correct
62 Correct 392 ms 31476 KB Output is correct
63 Correct 828 ms 31712 KB Output is correct
64 Correct 827 ms 31492 KB Output is correct
65 Correct 783 ms 32376 KB Output is correct
66 Correct 227 ms 29036 KB Output is correct
67 Correct 251 ms 30600 KB Output is correct
68 Correct 254 ms 30612 KB Output is correct
69 Correct 244 ms 28972 KB Output is correct
70 Correct 262 ms 29036 KB Output is correct
71 Correct 255 ms 29120 KB Output is correct
72 Correct 260 ms 29000 KB Output is correct
73 Correct 239 ms 30624 KB Output is correct
74 Correct 243 ms 30576 KB Output is correct
75 Correct 627 ms 73652 KB Output is correct
76 Correct 601 ms 72300 KB Output is correct
77 Correct 574 ms 73592 KB Output is correct
78 Correct 481 ms 68120 KB Output is correct
79 Correct 665 ms 68832 KB Output is correct
80 Correct 442 ms 68136 KB Output is correct
81 Correct 1448 ms 79096 KB Output is correct
82 Correct 1384 ms 80808 KB Output is correct
83 Correct 1408 ms 78752 KB Output is correct
84 Correct 1479 ms 81340 KB Output is correct
85 Correct 1281 ms 78900 KB Output is correct
86 Correct 1288 ms 80904 KB Output is correct
87 Correct 1478 ms 80988 KB Output is correct
88 Correct 2752 ms 82448 KB Output is correct
89 Correct 2513 ms 80460 KB Output is correct
90 Correct 2592 ms 80272 KB Output is correct
91 Correct 2466 ms 86436 KB Output is correct
92 Correct 2520 ms 77808 KB Output is correct
93 Correct 1277 ms 79880 KB Output is correct
94 Correct 1299 ms 80164 KB Output is correct
95 Correct 1096 ms 79952 KB Output is correct
96 Correct 1170 ms 79988 KB Output is correct
97 Correct 1278 ms 77720 KB Output is correct
98 Correct 945 ms 75584 KB Output is correct
99 Correct 1154 ms 77992 KB Output is correct
100 Correct 1138 ms 77688 KB Output is correct
101 Correct 1173 ms 77652 KB Output is correct
102 Correct 1113 ms 79628 KB Output is correct
103 Correct 1310 ms 79648 KB Output is correct
104 Correct 1136 ms 79748 KB Output is correct
105 Correct 873 ms 70568 KB Output is correct
106 Correct 795 ms 75056 KB Output is correct
107 Correct 799 ms 72836 KB Output is correct
108 Correct 827 ms 72880 KB Output is correct
109 Correct 825 ms 72856 KB Output is correct
110 Correct 858 ms 72944 KB Output is correct
111 Correct 845 ms 72884 KB Output is correct
112 Correct 780 ms 74152 KB Output is correct
113 Correct 779 ms 72776 KB Output is correct
114 Correct 791 ms 72844 KB Output is correct
115 Correct 808 ms 74156 KB Output is correct
116 Correct 828 ms 75464 KB Output is correct