oj.uz

Submission #1061725

# Submission time Handle Problem Language Result Execution time Memory
1061725 2024-08-16T12:13:56 Z mc061 Fountain Parks (IOI21_parks) C++17
15 / 100
 790 ms 71844 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 < 4; ++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 1880 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 1880 KB Output is correct
5 Correct 1 ms 1880 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 273 ms 32008 KB Output is correct
10 Correct 19 ms 5076 KB Output is correct
11 Correct 117 ms 18012 KB Output is correct
12 Correct 30 ms 6368 KB Output is correct
13 Correct 39 ms 8384 KB Output is correct
14 Correct 2 ms 1884 KB Output is correct
15 Correct 2 ms 2140 KB Output is correct
16 Correct 265 ms 32104 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1880 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 1880 KB Output is correct
5 Correct 1 ms 1880 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 273 ms 32008 KB Output is correct
10 Correct 19 ms 5076 KB Output is correct
11 Correct 117 ms 18012 KB Output is correct
12 Correct 30 ms 6368 KB Output is correct
13 Correct 39 ms 8384 KB Output is correct
14 Correct 2 ms 1884 KB Output is correct
15 Correct 2 ms 2140 KB Output is correct
16 Correct 265 ms 32104 KB Output is correct
17 Correct 2 ms 1880 KB Output is correct
18 Correct 1 ms 1880 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 738 ms 65964 KB Output is correct
24 Correct 1 ms 1880 KB Output is correct
25 Correct 3 ms 2392 KB Output is correct
26 Correct 3 ms 2396 KB Output is correct
27 Correct 4 ms 2652 KB Output is correct
28 Correct 210 ms 27592 KB Output is correct
29 Correct 367 ms 40496 KB Output is correct
30 Correct 512 ms 53808 KB Output is correct
31 Correct 730 ms 66940 KB Output is correct
32 Correct 1 ms 1884 KB Output is correct
33 Correct 2 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 1880 KB Output is correct
37 Correct 1 ms 1880 KB Output is correct
38 Correct 2 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 1884 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 253 ms 32176 KB Output is correct
46 Correct 462 ms 48428 KB Output is correct
47 Correct 422 ms 47704 KB Output is correct

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1880 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 1880 KB Output is correct
5 Correct 1 ms 1880 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 273 ms 32008 KB Output is correct
10 Correct 19 ms 5076 KB Output is correct
11 Correct 117 ms 18012 KB Output is correct
12 Correct 30 ms 6368 KB Output is correct
13 Correct 39 ms 8384 KB Output is correct
14 Correct 2 ms 1884 KB Output is correct
15 Correct 2 ms 2140 KB Output is correct
16 Correct 265 ms 32104 KB Output is correct
17 Correct 2 ms 1880 KB Output is correct
18 Correct 1 ms 1880 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 738 ms 65964 KB Output is correct
24 Correct 1 ms 1880 KB Output is correct
25 Correct 3 ms 2392 KB Output is correct
26 Correct 3 ms 2396 KB Output is correct
27 Correct 4 ms 2652 KB Output is correct
28 Correct 210 ms 27592 KB Output is correct
29 Correct 367 ms 40496 KB Output is correct
30 Correct 512 ms 53808 KB Output is correct
31 Correct 730 ms 66940 KB Output is correct
32 Correct 1 ms 1884 KB Output is correct
33 Correct 2 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 1880 KB Output is correct
37 Correct 1 ms 1880 KB Output is correct
38 Correct 2 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 1884 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 253 ms 32176 KB Output is correct
46 Correct 462 ms 48428 KB Output is correct
47 Correct 422 ms 47704 KB Output is correct
48 Correct 1 ms 1884 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 1956 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 790 ms 71844 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 1880 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 1880 KB Output is correct
5 Correct 1 ms 1880 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 273 ms 32008 KB Output is correct
10 Correct 19 ms 5076 KB Output is correct
11 Correct 117 ms 18012 KB Output is correct
12 Correct 30 ms 6368 KB Output is correct
13 Correct 39 ms 8384 KB Output is correct
14 Correct 2 ms 1884 KB Output is correct
15 Correct 2 ms 2140 KB Output is correct
16 Correct 265 ms 32104 KB Output is correct
17 Correct 1 ms 1884 KB Output is correct
18 Correct 1 ms 1884 KB Output is correct
19 Correct 1 ms 1884 KB Output is correct
20 Correct 590 ms 66240 KB Output is correct
21 Correct 622 ms 64604 KB Output is correct
22 Correct 575 ms 65944 KB Output is correct
23 Correct 446 ms 55540 KB Output is correct
24 Correct 152 ms 17492 KB Output is correct
25 Correct 349 ms 31588 KB Output is correct
26 Correct 250 ms 30888 KB Output is correct
27 Correct 640 ms 62228 KB Output is correct
28 Correct 664 ms 63932 KB Output is correct
29 Correct 592 ms 63016 KB Output is correct
30 Correct 593 ms 63020 KB Output is correct
31 Correct 1 ms 1884 KB Output is correct
32 Correct 28 ms 6308 KB Output is correct
33 Correct 69 ms 9592 KB Output is correct
34 Correct 581 ms 64616 KB Output is correct
35 Correct 11 ms 3232 KB Output is correct
36 Correct 58 ms 8768 KB Output is correct
37 Correct 135 ms 15532 KB Output is correct
38 Incorrect 277 ms 15136 KB Solution announced impossible, but it is possible.
39 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1880 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 1880 KB Output is correct
5 Correct 1 ms 1880 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 273 ms 32008 KB Output is correct
10 Correct 19 ms 5076 KB Output is correct
11 Correct 117 ms 18012 KB Output is correct
12 Correct 30 ms 6368 KB Output is correct
13 Correct 39 ms 8384 KB Output is correct
14 Correct 2 ms 1884 KB Output is correct
15 Correct 2 ms 2140 KB Output is correct
16 Correct 265 ms 32104 KB Output is correct
17 Correct 557 ms 63976 KB Output is correct
18 Correct 547 ms 66156 KB Output is correct
19 Correct 601 ms 63984 KB Output is correct
20 Correct 629 ms 63432 KB Output is correct
21 Correct 496 ms 57376 KB Output is correct
22 Correct 1 ms 1884 KB Output is correct
23 Correct 67 ms 11872 KB Output is correct
24 Correct 21 ms 4684 KB Output is correct
25 Correct 92 ms 11792 KB Output is correct
26 Correct 186 ms 19928 KB Output is correct
27 Correct 352 ms 33260 KB Output is correct
28 Correct 631 ms 41324 KB Output is correct
29 Incorrect 638 ms 28848 KB Solution announced impossible, but it is possible.
30 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 1880 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 1880 KB Output is correct
5 Correct 1 ms 1880 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 273 ms 32008 KB Output is correct
10 Correct 19 ms 5076 KB Output is correct
11 Correct 117 ms 18012 KB Output is correct
12 Correct 30 ms 6368 KB Output is correct
13 Correct 39 ms 8384 KB Output is correct
14 Correct 2 ms 1884 KB Output is correct
15 Correct 2 ms 2140 KB Output is correct
16 Correct 265 ms 32104 KB Output is correct
17 Correct 2 ms 1880 KB Output is correct
18 Correct 1 ms 1880 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 738 ms 65964 KB Output is correct
24 Correct 1 ms 1880 KB Output is correct
25 Correct 3 ms 2392 KB Output is correct
26 Correct 3 ms 2396 KB Output is correct
27 Correct 4 ms 2652 KB Output is correct
28 Correct 210 ms 27592 KB Output is correct
29 Correct 367 ms 40496 KB Output is correct
30 Correct 512 ms 53808 KB Output is correct
31 Correct 730 ms 66940 KB Output is correct
32 Correct 1 ms 1884 KB Output is correct
33 Correct 2 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 1880 KB Output is correct
37 Correct 1 ms 1880 KB Output is correct
38 Correct 2 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 1884 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 253 ms 32176 KB Output is correct
46 Correct 462 ms 48428 KB Output is correct
47 Correct 422 ms 47704 KB Output is correct
48 Correct 1 ms 1884 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 1956 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 790 ms 71844 KB a[0] = 0 is not an odd integer
56 Halted 0 ms 0 KB -