oj.uz

Submission #1061726

# Submission time Handle Problem Language Result Execution time Memory
1061726 2024-08-16T12:14:48 Z mc061 Fountain Parks (IOI21_parks) C++17
35 / 100
 1061 ms 72404 KB 
#include <bits/stdc++.h>
using namespace std;

map<pair<int, int>, int> vid;
int di[2] = {2, 0};
int dj[2] = {0, 2};

struct edge {
    int i1, j1, i2, j2;
};

vector<edge> edges;
const int N = 2e5+6;
struct DSU {
    int p[N]={};
    int sz[N];
    DSU() {
        iota(p, p+N, 0);
        fill(sz, sz+N, 1);
    }
    int get(int a) {
        return p[a] = (a == p[a] ? a : get(p[a]));
    }
    void merge(int a, int b) {
        int x = get(a), y = get(b);
        if (x == y) return;
        if (sz[x] > sz[y]) swap(x, y);
        p[x] = y;
        sz[y] += sz[x];
    }
};

vector<edge> horizontal, vertical;

void build(vector<int> u, vector<int> v, vector<int> a, vector<int> b);
bool try_build() {
    //0 - up(hor)   (from road: -1;+1)
    //1 - down(hor) (from road: +1;+1)
    //2 - left(ver) (from road: +1;-1)
    //3 - right(ver)(from road: +1;+1)

    vector<int> tlx = {-1, 1, 1, 1};
    vector<int> tly = {1, 1, -1, 1};

    vector<int> dx = {0, 0, 2, 2};
    vector<int> dy = {2, 2, 0, 0};

    map<pair<int, int>, int> bench_dir;
    for (const auto& e : horizontal) {
        bench_dir[{e.i1-1, e.j1+1}] = 0;
    }
    
    auto sieve_down = [&] (int bi, int bj) -> void {
        bench_dir.erase({bi, bj});
        bi += 2;
        while (bench_dir.count({bi, bj})) {
            bench_dir[{bi, bj}] = 1;
            bi += 2;
        }
        bench_dir[{bi, bj}] = 1;
    };

    for (const auto& e : vertical) {
        int wi_left = e.i1+1;
        int wj_left = e.j1-1;

        int wi_right = e.i1+1;
        int wj_right = e.j1+1;

        if (bench_dir.count({wi_left, wj_left})) {
            if (!bench_dir.count({wi_right, wj_right})) {
                bench_dir[{wi_right, wj_right}] = 3;
                continue;
            }
            int prev_dir = bench_dir[{wi_left, wj_left}];
            
            if (prev_dir == 0) {
                sieve_down(wi_left, wj_left);
                bench_dir[{wi_left, wj_left}] = 2;
                continue;
            }
            if (prev_dir == 1) {
                int prev_dir2 = bench_dir[{wi_right, wj_right}];
                if (prev_dir2 == 1) {
                    return false;
                }
            }
            sieve_down(wi_right, wj_right);
            bench_dir[{wi_right, wj_right}] = 3;
        }
        else {
            bench_dir[{wi_left, wj_left}] = 2;
        }
    }
    map<array<int, 4>, pair<int, int>> road_to_bench;
    for (const auto& [x, y] : bench_dir) {         
        int tx = x.first-tlx[y];
        int ty = x.second-tly[y];
        int bx = tx+dx[y];
        int by = ty+dy[y];
        road_to_bench[{tx, ty, bx, by}] = {x.first, x.second};
    }

    vector<int> u, v, a, b;

    for (const auto& e : horizontal) {
        u.push_back(vid[{e.i1, e.j1}]);
        v.push_back(vid[{e.i2, e.j2}]);
        a.push_back(road_to_bench[{e.i1, e.j1, e.i2, e.j2}].first);
        b.push_back(road_to_bench[{e.i1, e.j1, e.i2, e.j2}].second);
    }
    for (const auto& e : vertical) {
        u.push_back(vid[{e.i1, e.j1}]);
        v.push_back(vid[{e.i2, e.j2}]);
        a.push_back(road_to_bench[{e.i1, e.j1, e.i2, e.j2}].first);
        b.push_back(road_to_bench[{e.i1, e.j1, e.i2, e.j2}].second);
    }
    build(u, v, a, b);
    return true;
}

int construct_roads(vector<int> x, vector<int> y) {
    const int n = x.size();
    for (int i = 0; i < n; ++i) {
        vid[{x[i], y[i]}] = i;
    }
    vector<edge> all_vert;
    vector<edge> all_hor;
    for (int i = 0; i < n; ++i) {
        for (int j = 0; j < 2; ++j) {
            int ni = x[i] + di[j];
            int nj = y[i] + dj[j];
            auto it = vid.find({ni, nj});
            if (it == vid.end()) continue;
            edges.push_back({x[i], y[i], ni, nj});
            bool hor = ni == x[i];
            if (!hor) all_vert.push_back({x[i], y[i], ni, nj});
            else all_hor.push_back({x[i], y[i], ni, nj});
        }
    }

    for (int z = 0; z < 12; ++z) {
        random_shuffle(all_hor.begin(), all_hor.end());
        random_shuffle(all_vert.begin(), all_vert.end());
        vertical.clear();
        horizontal.clear();
        DSU d;
        for (const edge& e : all_vert) {
            int id1 = vid[{e.i1, e.j1}];
            int id2 = vid[{e.i2, e.j2}];
            if (d.get(id1) == d.get(id2)) continue;
            d.merge(id1, id2);
            vertical.push_back(e);
        }
        for (const edge& e : all_hor) {
            bool hor = e.i1 == e.i2;
            int id1 = vid[{e.i1, e.j1}];
            int id2 = vid[{e.i2, e.j2}];
            if (d.get(id1) == d.get(id2)) continue;
            d.merge(id1, id2);
            horizontal.push_back(e);
        }

        if (d.sz[d.get(0)] != n) return 0;

        sort(vertical.begin(), vertical.end(), [&](const edge& a, const edge& b) {
            if (a.i1 != b.i1) return a.i1 < b.i1;
            return a.j1 < b.j1; 
        });
        int j = try_build();
        if (j == 1) return true;
    }
    return false;
}

Compilation message

parks.cpp: In function 'int construct_roads(std::vector<int>, std::vector<int>)':
parks.cpp:156:18: warning: unused variable 'hor' [-Wunused-variable]
  156 |             bool hor = e.i1 == e.i2;
      |                  ^~~

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1884 KB Output is correct
2 Correct 1 ms 1884 KB Output is correct
3 Correct 1 ms 1884 KB Output is correct
4 Correct 1 ms 1884 KB Output is correct
5 Correct 1 ms 1884 KB Output is correct
6 Correct 1 ms 1884 KB Output is correct
7 Correct 1 ms 1884 KB Output is correct
8 Correct 1 ms 1884 KB Output is correct
9 Correct 261 ms 31952 KB Output is correct
10 Correct 18 ms 5076 KB Output is correct
11 Correct 124 ms 17976 KB Output is correct
12 Correct 27 ms 6372 KB Output is correct
13 Correct 39 ms 8380 KB Output is correct
14 Correct 2 ms 1884 KB Output is correct
15 Correct 2 ms 2140 KB Output is correct
16 Correct 261 ms 32088 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1884 KB Output is correct
2 Correct 1 ms 1884 KB Output is correct
3 Correct 1 ms 1884 KB Output is correct
4 Correct 1 ms 1884 KB Output is correct
5 Correct 1 ms 1884 KB Output is correct
6 Correct 1 ms 1884 KB Output is correct
7 Correct 1 ms 1884 KB Output is correct
8 Correct 1 ms 1884 KB Output is correct
9 Correct 261 ms 31952 KB Output is correct
10 Correct 18 ms 5076 KB Output is correct
11 Correct 124 ms 17976 KB Output is correct
12 Correct 27 ms 6372 KB Output is correct
13 Correct 39 ms 8380 KB Output is correct
14 Correct 2 ms 1884 KB Output is correct
15 Correct 2 ms 2140 KB Output is correct
16 Correct 261 ms 32088 KB Output is correct
17 Correct 1 ms 1884 KB Output is correct
18 Correct 1 ms 1788 KB Output is correct
19 Correct 1 ms 1884 KB Output is correct
20 Correct 1 ms 1884 KB Output is correct
21 Correct 1 ms 1884 KB Output is correct
22 Correct 1 ms 1884 KB Output is correct
23 Correct 696 ms 67432 KB Output is correct
24 Correct 1 ms 1880 KB Output is correct
25 Correct 3 ms 2396 KB Output is correct
26 Correct 3 ms 2396 KB Output is correct
27 Correct 4 ms 2512 KB Output is correct
28 Correct 209 ms 27648 KB Output is correct
29 Correct 361 ms 39728 KB Output is correct
30 Correct 523 ms 54312 KB Output is correct
31 Correct 678 ms 66316 KB Output is correct
32 Correct 1 ms 1884 KB Output is correct
33 Correct 1 ms 1884 KB Output is correct
34 Correct 1 ms 1884 KB Output is correct
35 Correct 1 ms 1884 KB Output is correct
36 Correct 1 ms 1884 KB Output is correct
37 Correct 1 ms 1884 KB Output is correct
38 Correct 1 ms 1884 KB Output is correct
39 Correct 1 ms 1884 KB Output is correct
40 Correct 1 ms 1884 KB Output is correct
41 Correct 1 ms 1880 KB Output is correct
42 Correct 1 ms 1884 KB Output is correct
43 Correct 2 ms 2140 KB Output is correct
44 Correct 3 ms 2396 KB Output is correct
45 Correct 256 ms 32424 KB Output is correct
46 Correct 415 ms 46884 KB Output is correct
47 Correct 427 ms 48472 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1884 KB Output is correct
2 Correct 1 ms 1884 KB Output is correct
3 Correct 1 ms 1884 KB Output is correct
4 Correct 1 ms 1884 KB Output is correct
5 Correct 1 ms 1884 KB Output is correct
6 Correct 1 ms 1884 KB Output is correct
7 Correct 1 ms 1884 KB Output is correct
8 Correct 1 ms 1884 KB Output is correct
9 Correct 261 ms 31952 KB Output is correct
10 Correct 18 ms 5076 KB Output is correct
11 Correct 124 ms 17976 KB Output is correct
12 Correct 27 ms 6372 KB Output is correct
13 Correct 39 ms 8380 KB Output is correct
14 Correct 2 ms 1884 KB Output is correct
15 Correct 2 ms 2140 KB Output is correct
16 Correct 261 ms 32088 KB Output is correct
17 Correct 1 ms 1884 KB Output is correct
18 Correct 1 ms 1788 KB Output is correct
19 Correct 1 ms 1884 KB Output is correct
20 Correct 1 ms 1884 KB Output is correct
21 Correct 1 ms 1884 KB Output is correct
22 Correct 1 ms 1884 KB Output is correct
23 Correct 696 ms 67432 KB Output is correct
24 Correct 1 ms 1880 KB Output is correct
25 Correct 3 ms 2396 KB Output is correct
26 Correct 3 ms 2396 KB Output is correct
27 Correct 4 ms 2512 KB Output is correct
28 Correct 209 ms 27648 KB Output is correct
29 Correct 361 ms 39728 KB Output is correct
30 Correct 523 ms 54312 KB Output is correct
31 Correct 678 ms 66316 KB Output is correct
32 Correct 1 ms 1884 KB Output is correct
33 Correct 1 ms 1884 KB Output is correct
34 Correct 1 ms 1884 KB Output is correct
35 Correct 1 ms 1884 KB Output is correct
36 Correct 1 ms 1884 KB Output is correct
37 Correct 1 ms 1884 KB Output is correct
38 Correct 1 ms 1884 KB Output is correct
39 Correct 1 ms 1884 KB Output is correct
40 Correct 1 ms 1884 KB Output is correct
41 Correct 1 ms 1880 KB Output is correct
42 Correct 1 ms 1884 KB Output is correct
43 Correct 2 ms 2140 KB Output is correct
44 Correct 3 ms 2396 KB Output is correct
45 Correct 256 ms 32424 KB Output is correct
46 Correct 415 ms 46884 KB Output is correct
47 Correct 427 ms 48472 KB Output is correct
48 Correct 1 ms 1880 KB Output is correct
49 Correct 1 ms 1884 KB Output is correct
50 Correct 1 ms 1884 KB Output is correct
51 Correct 1 ms 1884 KB Output is correct
52 Correct 1 ms 1884 KB Output is correct
53 Correct 1 ms 1884 KB Output is correct
54 Correct 1 ms 1884 KB Output is correct
55 Incorrect 721 ms 72404 KB a[0] = 0 is not an odd integer
56 Halted 0 ms 0 KB -

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1884 KB Output is correct
2 Correct 1 ms 1884 KB Output is correct
3 Correct 1 ms 1884 KB Output is correct
4 Correct 1 ms 1884 KB Output is correct
5 Correct 1 ms 1884 KB Output is correct
6 Correct 1 ms 1884 KB Output is correct
7 Correct 1 ms 1884 KB Output is correct
8 Correct 1 ms 1884 KB Output is correct
9 Correct 261 ms 31952 KB Output is correct
10 Correct 18 ms 5076 KB Output is correct
11 Correct 124 ms 17976 KB Output is correct
12 Correct 27 ms 6372 KB Output is correct
13 Correct 39 ms 8380 KB Output is correct
14 Correct 2 ms 1884 KB Output is correct
15 Correct 2 ms 2140 KB Output is correct
16 Correct 261 ms 32088 KB Output is correct
17 Correct 1 ms 1880 KB Output is correct
18 Correct 1 ms 1884 KB Output is correct
19 Correct 1 ms 1884 KB Output is correct
20 Correct 570 ms 66588 KB Output is correct
21 Correct 578 ms 63936 KB Output is correct
22 Correct 594 ms 65428 KB Output is correct
23 Correct 448 ms 54580 KB Output is correct
24 Correct 157 ms 17492 KB Output is correct
25 Correct 353 ms 30248 KB Output is correct
26 Correct 274 ms 30300 KB Output is correct
27 Correct 625 ms 63964 KB Output is correct
28 Correct 703 ms 62624 KB Output is correct
29 Correct 566 ms 62256 KB Output is correct
30 Correct 609 ms 62648 KB Output is correct
31 Correct 1 ms 1880 KB Output is correct
32 Correct 28 ms 6416 KB Output is correct
33 Correct 75 ms 9808 KB Output is correct
34 Correct 624 ms 64216 KB Output is correct
35 Correct 10 ms 3236 KB Output is correct
36 Correct 59 ms 8624 KB Output is correct
37 Correct 132 ms 15444 KB Output is correct
38 Incorrect 643 ms 15056 KB Solution announced impossible, but it is possible.
39 Halted 0 ms 0 KB -

Subtask #5
20.0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1884 KB Output is correct
2 Correct 1 ms 1884 KB Output is correct
3 Correct 1 ms 1884 KB Output is correct
4 Correct 1 ms 1884 KB Output is correct
5 Correct 1 ms 1884 KB Output is correct
6 Correct 1 ms 1884 KB Output is correct
7 Correct 1 ms 1884 KB Output is correct
8 Correct 1 ms 1884 KB Output is correct
9 Correct 261 ms 31952 KB Output is correct
10 Correct 18 ms 5076 KB Output is correct
11 Correct 124 ms 17976 KB Output is correct
12 Correct 27 ms 6372 KB Output is correct
13 Correct 39 ms 8380 KB Output is correct
14 Correct 2 ms 1884 KB Output is correct
15 Correct 2 ms 2140 KB Output is correct
16 Correct 261 ms 32088 KB Output is correct
17 Correct 558 ms 64496 KB Output is correct
18 Correct 549 ms 66284 KB Output is correct
19 Correct 627 ms 63976 KB Output is correct
20 Correct 608 ms 63668 KB Output is correct
21 Correct 517 ms 56404 KB Output is correct
22 Correct 1 ms 1884 KB Output is correct
23 Correct 69 ms 11748 KB Output is correct
24 Correct 22 ms 4680 KB Output is correct
25 Correct 91 ms 11688 KB Output is correct
26 Correct 188 ms 19588 KB Output is correct
27 Correct 379 ms 33476 KB Output is correct
28 Correct 638 ms 41268 KB Output is correct
29 Correct 1061 ms 51480 KB Output is correct
30 Correct 1035 ms 57924 KB Output is correct
31 Correct 1042 ms 65204 KB Output is correct
32 Correct 626 ms 63472 KB Output is correct
33 Correct 652 ms 62244 KB Output is correct
34 Correct 5 ms 2648 KB Output is correct
35 Correct 8 ms 3232 KB Output is correct
36 Correct 267 ms 32480 KB Output is correct
37 Correct 465 ms 49604 KB Output is correct
38 Correct 642 ms 65648 KB Output is correct

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1884 KB Output is correct
2 Correct 1 ms 1884 KB Output is correct
3 Correct 1 ms 1884 KB Output is correct
4 Correct 1 ms 1884 KB Output is correct
5 Correct 1 ms 1884 KB Output is correct
6 Correct 1 ms 1884 KB Output is correct
7 Correct 1 ms 1884 KB Output is correct
8 Correct 1 ms 1884 KB Output is correct
9 Correct 261 ms 31952 KB Output is correct
10 Correct 18 ms 5076 KB Output is correct
11 Correct 124 ms 17976 KB Output is correct
12 Correct 27 ms 6372 KB Output is correct
13 Correct 39 ms 8380 KB Output is correct
14 Correct 2 ms 1884 KB Output is correct
15 Correct 2 ms 2140 KB Output is correct
16 Correct 261 ms 32088 KB Output is correct
17 Correct 1 ms 1884 KB Output is correct
18 Correct 1 ms 1788 KB Output is correct
19 Correct 1 ms 1884 KB Output is correct
20 Correct 1 ms 1884 KB Output is correct
21 Correct 1 ms 1884 KB Output is correct
22 Correct 1 ms 1884 KB Output is correct
23 Correct 696 ms 67432 KB Output is correct
24 Correct 1 ms 1880 KB Output is correct
25 Correct 3 ms 2396 KB Output is correct
26 Correct 3 ms 2396 KB Output is correct
27 Correct 4 ms 2512 KB Output is correct
28 Correct 209 ms 27648 KB Output is correct
29 Correct 361 ms 39728 KB Output is correct
30 Correct 523 ms 54312 KB Output is correct
31 Correct 678 ms 66316 KB Output is correct
32 Correct 1 ms 1884 KB Output is correct
33 Correct 1 ms 1884 KB Output is correct
34 Correct 1 ms 1884 KB Output is correct
35 Correct 1 ms 1884 KB Output is correct
36 Correct 1 ms 1884 KB Output is correct
37 Correct 1 ms 1884 KB Output is correct
38 Correct 1 ms 1884 KB Output is correct
39 Correct 1 ms 1884 KB Output is correct
40 Correct 1 ms 1884 KB Output is correct
41 Correct 1 ms 1880 KB Output is correct
42 Correct 1 ms 1884 KB Output is correct
43 Correct 2 ms 2140 KB Output is correct
44 Correct 3 ms 2396 KB Output is correct
45 Correct 256 ms 32424 KB Output is correct
46 Correct 415 ms 46884 KB Output is correct
47 Correct 427 ms 48472 KB Output is correct
48 Correct 1 ms 1880 KB Output is correct
49 Correct 1 ms 1884 KB Output is correct
50 Correct 1 ms 1884 KB Output is correct
51 Correct 1 ms 1884 KB Output is correct
52 Correct 1 ms 1884 KB Output is correct
53 Correct 1 ms 1884 KB Output is correct
54 Correct 1 ms 1884 KB Output is correct
55 Incorrect 721 ms 72404 KB a[0] = 0 is not an odd integer
56 Halted 0 ms 0 KB -