Submission #261156

#TimeUsernameProblemLanguageResultExecution timeMemory
261156SorahISACircle selection (APIO18_circle_selection)C++17
0 / 100
3124 ms581572 KiB
#pragma GCC optimize("Ofast", "unroll-loops")
#include <bits/stdc++.h>
using namespace std;

#define int long long
#define double long double
using pii = pair<int, int>;
template<typename T>
using prior = priority_queue<T, vector<T>, greater<T>>;
template<typename T>
using Prior = priority_queue<T>;

#define X first
#define Y second
#define ALL(x) (x).begin(), (x).end()
#define eb emplace_back
#define pb push_back
#define fastIO() ios_base::sync_with_stdio(false), cin.tie(0)

const int INF = 0x7f7f7f7f;
const int maxn = 3E5 + 5;
int R;

struct Circle {
    int x, y, r, id;
    bool operator < (const Circle &rhs) const {
        if (r == rhs.r) return id > rhs.id;
        return r < rhs.r;
    }
};

int32_t main() {
    fastIO();
    
    int n;
    cin >> n;
    
    Prior<Circle> pq;
    vector<Circle> cir(n);
    for (int i = 0; i < n; ++i) {
        cin >> cir[i].x >> cir[i].y >> cir[i].r;
        cir[i].id = i;
        pq.push(cir[i]);
    }
    
    R = cir[0].r;
    map<pii, set<int>> cid;
    for (int i = 0; i < n; ++i) {
        cid[{cir[i].x / R, cir[i].y / R}].insert(cir[i].id);
    }
    
    vector<int> ans(n, -1);
    while (!pq.empty()) {
        while (!pq.empty() and ans[pq.top().id] != -1) pq.pop();
        if (pq.empty()) break;
        int bx = cir[pq.top().id].x / R;
        int by = cir[pq.top().id].y / R;
        for (int i : {-2, -1, 0, 1, 2}) {
            for (int j : {-2, -1, 0, 1, 2}) {
                vector<int> tbe;
                for (auto c : cid[{bx + i, by + j}]) {
                    int dx = abs(cir[pq.top().id].x - cir[c].x);
                    int dy = abs(cir[pq.top().id].y - cir[c].y);
                    int dr =     cir[pq.top().id].r + cir[c].r;
                    // cout << dx << " " << dy << " " << dr << "\n";
                    if (dx*dx + dy*dy <= dr*dr) tbe.eb(c), ans[c] = pq.top().id;
                }
                for (auto x : tbe) cid[{bx + i, by + j}].erase(x);
            }
        }
    }
    
    for (int i = 0; i < n; ++i) cout << ans[i] + 1 << " \n"[i == n-1];
    
    return 0;
}
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