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Submission #1073584

# Submission time Handle Problem Language Result Execution time Memory
1073584 2024-08-24T16:20:01 Z Jarif_Rahman Park (BOI16_park) C++17
100 / 100
 464 ms 73008 KB 
#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";
}

Subtask #1
27.0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 394 ms 67248 KB Output is correct
2 Correct 422 ms 68012 KB Output is correct
3 Correct 392 ms 66512 KB Output is correct
4 Correct 397 ms 66732 KB Output is correct
5 Correct 418 ms 66756 KB Output is correct
6 Correct 405 ms 67204 KB Output is correct
7 Correct 384 ms 68288 KB Output is correct
8 Correct 380 ms 66896 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct

Subtask #2
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 9920 KB Output is correct
2 Correct 51 ms 9952 KB Output is correct
3 Correct 54 ms 10128 KB Output is correct
4 Correct 49 ms 10352 KB Output is correct
5 Correct 49 ms 9920 KB Output is correct
6 Correct 52 ms 10692 KB Output is correct
7 Correct 46 ms 8128 KB Output is correct
8 Correct 45 ms 8124 KB Output is correct

Subtask #3
42.0 / 42.0

# Verdict Execution time Memory Grader output
1 Correct 394 ms 67248 KB Output is correct
2 Correct 422 ms 68012 KB Output is correct
3 Correct 392 ms 66512 KB Output is correct
4 Correct 397 ms 66732 KB Output is correct
5 Correct 418 ms 66756 KB Output is correct
6 Correct 405 ms 67204 KB Output is correct
7 Correct 384 ms 68288 KB Output is correct
8 Correct 380 ms 66896 KB Output is correct
9 Correct 1 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 50 ms 9920 KB Output is correct
12 Correct 51 ms 9952 KB Output is correct
13 Correct 54 ms 10128 KB Output is correct
14 Correct 49 ms 10352 KB Output is correct
15 Correct 49 ms 9920 KB Output is correct
16 Correct 52 ms 10692 KB Output is correct
17 Correct 46 ms 8128 KB Output is correct
18 Correct 45 ms 8124 KB Output is correct
19 Correct 442 ms 72480 KB Output is correct
20 Correct 452 ms 71824 KB Output is correct
21 Correct 463 ms 72228 KB Output is correct
22 Correct 464 ms 72552 KB Output is correct
23 Correct 449 ms 71960 KB Output is correct
24 Correct 428 ms 73008 KB Output is correct