Submission #1073584

#TimeUsernameProblemLanguageResultExecution timeMemory
1073584Jarif_RahmanPark (BOI16_park)C++17
100 / 100
464 ms73008 KiB
#include <bits/stdc++.h>
#define pb push_back
#define f first
#define sc second
using namespace std;
typedef long long int ll;
typedef string str;
typedef long double ld;

struct dsu{
    int n;
    vector<int> p, sz;
    dsu(int _n): n(_n){
        p.resize(n);
        sz.resize(n, 1);
        for(int i = 0; i < n; i++) p[i] = i;
    }
    int get(int x){
        if(p[x] != x) p[x] = get(p[x]);
        return p[x];
    }
    void unite(int a, int b){
        a = get(a), b = get(b);
        if(a == b) return;
        if(sz[a] < sz[b]) swap(a, b);
        p[b] = a;
        sz[a]+=sz[b];
        sz[b] = 0;
    }
    bool same(int a, int b){
        return get(a) == get(b);
    }
};

int main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    int n, m; ld w, h; cin >> n >> m >> w >> h;

    vector<tuple<ld, ld, ld>> circles(n);
    vector<tuple<ld, int, int>> queries;
    for(auto &[x, y, r]: circles) cin >> x >> y >> r;
    for(int i = 0; i < m; i++){
        ld r; int e; cin >> r >> e;
        queries.push_back({r, e, i});
    }

    dsu ds(n+4);
    vector<tuple<ld, int, int>> op;
    for(int i = 0; i < n; i++){
        auto [x1, y1, r1] = circles[i];
        op.push_back({y1-r1, i, n});
        op.push_back({w-x1-r1, i, n+1});
        op.push_back({h-y1-r1, i, n+2});
        op.push_back({x1-r1, i, n+3});
        for(int j = i+1; j < n; j++){
            auto [x2, y2, r2] = circles[j];
            ld dis = (x1-x2)*(x1-x2) + (y1-y2)*(y1-y2);
            dis = sqrt(dis);
            op.push_back({dis-r1-r2, i, j});
        }
    }

    sort(op.rbegin(), op.rend());
    sort(queries.begin(), queries.end());

    vector<pair<int, int>> sth[5][5];
    sth[1][1] = {};
    sth[1][2] = { {0,1}, {0,2}, {0,3} };
    sth[1][3] = { {0,2}, {1,3}, {0,3}, {1,2} };
    sth[1][4] = { {3,0}, {3,1}, {3,2} };
    sth[2][1] = sth[1][2], sth[2][2] = {};
    sth[2][3] = { {1,0}, {1,2}, {1,3} };
    sth[2][4] = { {0,2}, {1,3}, {0,1}, {2,3} };
    sth[3][1] = sth[1][3], sth[3][2] = sth[2][3], sth[3][3] = {};
    sth[3][4] = { {2,0}, {2,1}, {2,3} };
    sth[4][1] = sth[1][4], sth[4][2] = sth[2][4], sth[4][3] = sth[3][4], sth[4][4] = {};

    vector<string> ans(m, "");
    for(auto [r, e, in]: queries){
        while(!op.empty() && get<0>(op.back()) < r*2.0){
            auto [_, a, b] = op.back();
            op.pop_back();
            ds.unite(a, b);
        }
        for(int i = 1; i <= 4; i++){
            bool ok = 1;
            for(auto [a, b]: sth[e][i]) ok&=!ds.same(n+a, n+b);
            if(ok) ans[in]+=('0'+i);
        }
    }

    for(auto x: ans) cout << x << "\n";
}
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