Submission #939582

# Submission time Handle Problem Language Result Execution time Memory
939582 2024-03-06T14:32:50 Z green_gold_dog Circle selection (APIO18_circle_selection) C++17
37 / 100
2393 ms 424248 KB
//#pragma GCC optimize("Ofast")
//#pragma GCC target("avx,avx2,sse,sse2,sse3,ssse3,sse4,abm,popcnt,mmx")
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef double db;
typedef long double ldb;
typedef complex<double> cd;

constexpr ll INF64 = 9'000'000'000'000'000'000, INF32 = 2'000'000'000, MOD = 1'000'000'007;
constexpr db PI = acos(-1);
constexpr bool IS_FILE = false, IS_TEST_CASES = false;

random_device rd;
mt19937 rnd32(rd());
mt19937_64 rnd64(rd());

template<typename T>
bool assign_max(T& a, T b) {
        if (b > a) {
                a = b;
                return true;
        }
        return false;
}

template<typename T>
bool assign_min(T& a, T b) {
        if (b < a) {
                a = b;
                return true;
        }
        return false;
}

template<typename T>
T square(T a) {
        return a * a;
}

template<>
struct std::hash<pair<ll, ll>> {
        ll operator() (pair<ll, ll> p) const {
                return ((__int128)p.first * MOD + p.second) % INF64;
        }
};

struct circle {
        ll x, y, r, id;
        circle(ll x = 0, ll y = 0, ll r = 0, ll id = 0): x(x), y(y), r(r), id(id) {}
        bool operator<(const circle c2) const {
                return c2.r < r;
        }
        bool check(circle c2) {
                return square(x - c2.x) + square(y - c2.y) <= square(r + c2.r);
        }
};

struct segment_tree {
        vector<set<pair<ll, ll>>> tree;
        ll size;
        ll can = 20;
        segment_tree(ll n) {
                assert(n <= 1'000'000);
                size = 1;
                while (size < n) {
                        size *= 2;
                }
                tree.resize(size * 2);
        }
        void insert(ll x, ll y, ll id) {
                can = 20;
                insert(1, 0, size, x, y, id);
                assert(can >= 0);
        }
        void insert(ll v, ll l, ll r, ll x, ll y, ll id) {
                if (x < l || r <= x) {
                        return;
                }
                can--;
                tree[v].insert(make_pair(y, id));
                if (r - l == 1) {
                        return;
                }
                ll mid = (l + r) / 2;
                insert(v * 2, l, mid, x, y, id);
                insert(v * 2 + 1, mid, r, x, y, id);
        }
        void erase(ll x, ll y, ll id) {
                erase(1, 0, size, x, y, id);
        }
        void erase(ll v, ll l, ll r, ll x, ll y, ll id) {
                if (x < l || r <= x) {
                        return;
                }
                tree[v].erase(make_pair(y, id));
                if (r - l == 1) {
                        return;
                }
                ll mid = (l + r) / 2;
                erase(v * 2, l, mid, x, y, id);
                erase(v * 2 + 1, mid, r, x, y, id);
        }
        void get(ll l, ll r, ll nl, ll nr, vector<ll>& ans) {
                get(1, 0, size, l, r + 1, nl, nr, ans);
        }
        void get(ll v, ll l, ll r, ll ql, ll qr, ll nl, ll nr, vector<ll>& ans) {
                if (ql <= l && r <= qr) {
                        auto it = tree[v].lower_bound(make_pair(nl, 0));
                        while (it != tree[v].end() && it->first <= nr) {
                                ans.emplace_back(it->second);
                                it++;
                        }
                        return;
                }
                if (qr <= l || r <= ql) {
                        return;
                }
                ll mid = (l + r) / 2;
                get(v * 2, l, mid, ql, qr, nl, nr, ans);
                get(v * 2 + 1, mid, r, ql, qr, nl, nr, ans);
        }
};

void solve() {
        ll n;
        cin >> n;
        vector<circle> all(n);
        for (ll i = 0; i < n; i++) {
                cin >> all[i].x >> all[i].y >> all[i].r;
                all[i].id = i;
        }
        stable_sort(all.begin(), all.end());
        vector<ll> ans(n, -1);
        set<ll> allx;
        for (ll i = 0; i < n; i++) {
                allx.insert(all[i].x - all[i].r * 2);
                allx.insert(all[i].x);
                allx.insert(all[i].x + all[i].r * 2);
        }
        map<ll, ll> zip;
        ll lst = 0;
        for (auto i : allx) {
                zip[i] = lst;
                lst++;
        }
        segment_tree st(lst);
        for (ll i = 0; i < n; i++) {
                st.insert(zip[all[i].x], all[i].y, i);
        }
        for (ll i = 0; i < n; i++) {
                if (ans[all[i].id] == -1) {
                        vector<ll> na;
                        st.get(zip[all[i].x - all[i].r * 2], zip[all[i].x + all[i].r * 2], all[i].y - all[i].r * 2, all[i].y + all[i].r * 2, na);
                        for (auto j : na) {
                                if (ans[all[j].id] == -1) {
                                        if (all[i].check(all[j])) {
                                                ans[all[j].id] = all[i].id;
                                                st.erase(zip[all[j].x], all[j].y, j);
                                        }
                                }
                        }
                }
        }
        for (auto i : ans) {
                cout << i + 1 << ' ';
        }
        cout << '\n';
}

int main() {
        if (IS_FILE) {
                freopen("", "r", stdin);
                freopen("", "w", stdout);
        }
        ios_base::sync_with_stdio(false);
        cin.tie(0);
        cout.tie(0);
        ll t = 1;
        if (IS_TEST_CASES) {
                cin >> t;
        }
        for (ll i = 0; i < t; i++) {
                solve();
        }
}

Compilation message

circle_selection.cpp: In function 'int main()':
circle_selection.cpp:175:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  175 |                 freopen("", "r", stdin);
      |                 ~~~~~~~^~~~~~~~~~~~~~~~
circle_selection.cpp:176:24: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
  176 |                 freopen("", "w", stdout);
      |                 ~~~~~~~^~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 856 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 6 ms 1884 KB Output is correct
17 Correct 4 ms 1884 KB Output is correct
18 Correct 4 ms 1884 KB Output is correct
19 Correct 25 ms 8636 KB Output is correct
20 Correct 26 ms 8520 KB Output is correct
21 Correct 30 ms 8632 KB Output is correct
22 Correct 29 ms 8632 KB Output is correct
23 Correct 34 ms 8380 KB Output is correct
24 Correct 34 ms 8560 KB Output is correct
25 Correct 28 ms 8376 KB Output is correct
26 Correct 30 ms 8580 KB Output is correct
# Verdict Execution time Memory Grader output
1 Runtime error 1028 ms 424040 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 2366 ms 212248 KB Output is correct
3 Runtime error 879 ms 424080 KB Execution killed with signal 6
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Runtime error 827 ms 424248 KB Execution killed with signal 6
2 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 856 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 6 ms 1884 KB Output is correct
17 Correct 4 ms 1884 KB Output is correct
18 Correct 4 ms 1884 KB Output is correct
19 Correct 25 ms 8636 KB Output is correct
20 Correct 26 ms 8520 KB Output is correct
21 Correct 30 ms 8632 KB Output is correct
22 Correct 29 ms 8632 KB Output is correct
23 Correct 34 ms 8380 KB Output is correct
24 Correct 34 ms 8560 KB Output is correct
25 Correct 28 ms 8376 KB Output is correct
26 Correct 30 ms 8580 KB Output is correct
27 Correct 77 ms 17388 KB Output is correct
28 Correct 62 ms 17444 KB Output is correct
29 Correct 63 ms 17288 KB Output is correct
30 Correct 83 ms 17176 KB Output is correct
31 Correct 74 ms 17176 KB Output is correct
32 Correct 73 ms 17184 KB Output is correct
33 Correct 1662 ms 214436 KB Output is correct
34 Correct 1673 ms 214116 KB Output is correct
35 Correct 1849 ms 214168 KB Output is correct
36 Correct 2288 ms 212272 KB Output is correct
37 Correct 2393 ms 212176 KB Output is correct
38 Correct 2354 ms 212184 KB Output is correct
39 Correct 2298 ms 75892 KB Output is correct
40 Correct 2365 ms 76044 KB Output is correct
41 Correct 2190 ms 76092 KB Output is correct
42 Correct 1230 ms 86988 KB Output is correct
43 Correct 1402 ms 212260 KB Output is correct
44 Correct 1359 ms 212324 KB Output is correct
45 Correct 1393 ms 212316 KB Output is correct
46 Correct 1402 ms 212404 KB Output is correct
47 Correct 1500 ms 212268 KB Output is correct
48 Correct 1411 ms 212248 KB Output is correct
49 Correct 1547 ms 212252 KB Output is correct
50 Correct 1439 ms 212256 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 1 ms 604 KB Output is correct
7 Correct 1 ms 604 KB Output is correct
8 Correct 1 ms 604 KB Output is correct
9 Correct 1 ms 600 KB Output is correct
10 Correct 1 ms 604 KB Output is correct
11 Correct 1 ms 604 KB Output is correct
12 Correct 1 ms 604 KB Output is correct
13 Correct 1 ms 856 KB Output is correct
14 Correct 1 ms 604 KB Output is correct
15 Correct 1 ms 604 KB Output is correct
16 Correct 6 ms 1884 KB Output is correct
17 Correct 4 ms 1884 KB Output is correct
18 Correct 4 ms 1884 KB Output is correct
19 Correct 25 ms 8636 KB Output is correct
20 Correct 26 ms 8520 KB Output is correct
21 Correct 30 ms 8632 KB Output is correct
22 Correct 29 ms 8632 KB Output is correct
23 Correct 34 ms 8380 KB Output is correct
24 Correct 34 ms 8560 KB Output is correct
25 Correct 28 ms 8376 KB Output is correct
26 Correct 30 ms 8580 KB Output is correct
27 Runtime error 1028 ms 424040 KB Execution killed with signal 6
28 Halted 0 ms 0 KB -