Submission #588136

# Submission time Handle Problem Language Result Execution time Memory
588136 2022-07-02T17:58:00 Z Clan328 Fountain Parks (IOI21_parks) C++17
15 / 100
154 ms 23200 KB
#include "parks.h"
#include <bits/stdc++.h>

using namespace std;

#define pb push_back

struct Coord {
    int x, y, i;

    bool operator<(Coord other) const  {
        if (y == other.y) {
            return x < other.x;
        }
        return y < other.y;
    }
};

int n;
vector<Coord> coords;
std::vector<int> u, v, a, b;

vector<int> link;

int find(int x) {
    if (link[x] != x) link[x] = find(link[x]);
    return link[x];
}

void unite(int a, int b) {
    int x = find(a), y = find(b);
    link[x] = y;
}

bool same(int a, int b) {
    return find(a) == find(b);
}

void connect(int i, int j) {
    if (coords[i].x == coords[j].x) {
        u.pb(coords[i].i);
        v.pb(coords[j].i);
        if (coords[i].x == 4)
            a.pb(coords[i].x+1);
        else
            a.pb(coords[i].x-1);
        b.pb(coords[i].y+1);
    } else if (coords[i].y == coords[j].y) {
        u.pb(coords[i].i);
        v.pb(coords[j].i);
        a.pb(coords[i].x+1);
        b.pb(coords[i].y-1);
    }
}

int construct_roads(std::vector<int> x, std::vector<int> y) {
    if (x.size() == 1) {
        build({}, {}, {}, {});
        return 1;
    }  

    n = x.size();

    int maxX = 0;
    for (int i = 0; i < n; i++) maxX = max(maxX, x[i]);

    bool res = true;
    if (maxX <= 4) {
        coords = vector<Coord>(n);
        for (int i = 0; i < n; i++) {
            coords[i] = {x[i], y[i], i};
        }

        sort(coords.begin(), coords.end());
        
        link = vector<int>(n);
        iota(link.begin(), link.end(), 0);
        for (int i = 0; i < n-1; i++) {
            if ((coords[i].y+2 == coords[i+1].y && coords[i].x == coords[i+1].x) || (coords[i].y == coords[i+1].y && abs(coords[i+1].x-coords[i].x) == 2)) {
                connect(i, i+1);
                unite(i, i+1);
            }
            if (i+2 < n && ((coords[i].y+2 == coords[i+2].y && coords[i].x == coords[i+2].x) || (coords[i].y == coords[i+2].y && abs(coords[i+2].x-coords[i].x) == 2))) {
                connect(i, i+2);
                unite(i, i+2);
            }
        }
        
        for (int i = 0; i < n-1; i++) {
            res &= find(i) == find(i+1);
        }
    } else {
        int maxY = 0;
        for (int i = 0; i < n; i++) maxY = max(maxY, y[i]);

        link = vector<int>(n);
        iota(link.begin(), link.end(), 0);
        vector<vector<int>> mat(maxY/2, vector<int>(3)), matIdx(maxY/2, vector<int>(3));
        for (int i = 0; i < n; i++) {
            mat[y[i]/2-1][x[i]/2-1] = 1;
            matIdx[y[i]/2-1][x[i]/2-1] = i;
        }

        map<int, map<int, int>> bench;

        for (int i = 0; i < maxY/2; i++) {
            if (mat[i][0] && mat[i][1]) {
                if (bench[3][2*i+1]) {
                    if (!same(matIdx[i][0], matIdx[i][1])) {
                        u.pb(matIdx[i][0]);
                        v.pb(matIdx[i][1]);
                        a.pb(3);
                        b.pb(2*i+3);
                        unite(matIdx[i][0], matIdx[i][1]);
                    }
                } else {
                    u.pb(matIdx[i][0]);
                    v.pb(matIdx[i][1]);
                    a.pb(3);
                    b.pb(2*i+1);
                    unite(matIdx[i][0], matIdx[i][1]);
                }
            }
            if (mat[i][1] && mat[i][2]) {
                if (bench[5][2*i+1]) {
                    if (!same(matIdx[i][1], matIdx[i][2])) {
                        u.pb(matIdx[i][1]);
                        v.pb(matIdx[i][2]);
                        a.pb(5);
                        b.pb(2*i+3);
                        unite(matIdx[i][1], matIdx[i][2]);
                    }
                } else {
                    u.pb(matIdx[i][1]);
                    v.pb(matIdx[i][2]);
                    a.pb(5);
                    b.pb(2*i+1);
                    unite(matIdx[i][1], matIdx[i][2]);
                }
            }
            if (i == maxY/2-1) continue;
            bool isValid = false;
            if (mat[i][0] && mat[i+1][0]) {
                u.pb(matIdx[i][0]);
                v.pb(matIdx[i+1][0]);
                a.pb(1);
                b.pb(2*i+3);
                unite(matIdx[i][0], matIdx[i+1][0]);
                isValid = true;
            }
            if (mat[i][2] && mat[i+1][2]) {
                u.pb(matIdx[i][2]);
                v.pb(matIdx[i+1][2]);
                a.pb(7);
                b.pb(2*i+3);
                unite(matIdx[i][2], matIdx[i+1][2]);
                isValid = true;
            }

            if (!isValid && mat[i][1] && mat[i+1][1]) {
                u.pb(matIdx[i][1]);
                v.pb(matIdx[i+1][1]);
                if (!bench[3][2*i+3])
                    a.pb(3);
                else if (!bench[5][2*i+3])
                    a.pb(5);
                else
                    res = false;
                b.pb(2*i+3);
                unite(matIdx[i][1], matIdx[i+1][1]);
            }

            if (a.size()) {
                bench[a[a.size()-1]][b[b.size()-1]] = true;
            }
        }



        for (int i = 0; i < n-1; i++) {
            res &= find(i) == find(i+1);
        }
    }

    if (!res) return 0;

    build(u, v, a, b);
    return 1;
}
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 58 ms 9428 KB Output is correct
10 Correct 8 ms 1364 KB Output is correct
11 Correct 28 ms 5208 KB Output is correct
12 Correct 8 ms 1876 KB Output is correct
13 Correct 11 ms 2896 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 67 ms 9396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 58 ms 9428 KB Output is correct
10 Correct 8 ms 1364 KB Output is correct
11 Correct 28 ms 5208 KB Output is correct
12 Correct 8 ms 1876 KB Output is correct
13 Correct 11 ms 2896 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 67 ms 9396 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 154 ms 23200 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 2 ms 596 KB Output is correct
28 Correct 58 ms 9492 KB Output is correct
29 Correct 96 ms 14052 KB Output is correct
30 Correct 129 ms 18692 KB Output is correct
31 Correct 152 ms 23196 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 0 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 63 ms 9252 KB Output is correct
46 Correct 86 ms 13220 KB Output is correct
47 Correct 88 ms 13176 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 58 ms 9428 KB Output is correct
10 Correct 8 ms 1364 KB Output is correct
11 Correct 28 ms 5208 KB Output is correct
12 Correct 8 ms 1876 KB Output is correct
13 Correct 11 ms 2896 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 67 ms 9396 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 154 ms 23200 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 2 ms 596 KB Output is correct
28 Correct 58 ms 9492 KB Output is correct
29 Correct 96 ms 14052 KB Output is correct
30 Correct 129 ms 18692 KB Output is correct
31 Correct 152 ms 23196 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 0 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 63 ms 9252 KB Output is correct
46 Correct 86 ms 13220 KB Output is correct
47 Correct 88 ms 13176 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 0 ms 212 KB Output is correct
51 Correct 0 ms 212 KB Output is correct
52 Correct 0 ms 212 KB Output is correct
53 Correct 0 ms 212 KB Output is correct
54 Incorrect 0 ms 212 KB Tree @(3, 7) appears more than once: for edges on positions 4 and 6
55 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 58 ms 9428 KB Output is correct
10 Correct 8 ms 1364 KB Output is correct
11 Correct 28 ms 5208 KB Output is correct
12 Correct 8 ms 1876 KB Output is correct
13 Correct 11 ms 2896 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 67 ms 9396 KB Output is correct
17 Runtime error 1 ms 340 KB Execution killed with signal 11
18 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 58 ms 9428 KB Output is correct
10 Correct 8 ms 1364 KB Output is correct
11 Correct 28 ms 5208 KB Output is correct
12 Correct 8 ms 1876 KB Output is correct
13 Correct 11 ms 2896 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 67 ms 9396 KB Output is correct
17 Runtime error 52 ms 19404 KB Execution killed with signal 11
18 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 0 ms 212 KB Output is correct
5 Correct 0 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 58 ms 9428 KB Output is correct
10 Correct 8 ms 1364 KB Output is correct
11 Correct 28 ms 5208 KB Output is correct
12 Correct 8 ms 1876 KB Output is correct
13 Correct 11 ms 2896 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 67 ms 9396 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 0 ms 212 KB Output is correct
19 Correct 0 ms 212 KB Output is correct
20 Correct 0 ms 212 KB Output is correct
21 Correct 0 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 154 ms 23200 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 468 KB Output is correct
27 Correct 2 ms 596 KB Output is correct
28 Correct 58 ms 9492 KB Output is correct
29 Correct 96 ms 14052 KB Output is correct
30 Correct 129 ms 18692 KB Output is correct
31 Correct 152 ms 23196 KB Output is correct
32 Correct 0 ms 212 KB Output is correct
33 Correct 0 ms 212 KB Output is correct
34 Correct 0 ms 212 KB Output is correct
35 Correct 0 ms 212 KB Output is correct
36 Correct 0 ms 212 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 0 ms 212 KB Output is correct
41 Correct 1 ms 212 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 468 KB Output is correct
45 Correct 63 ms 9252 KB Output is correct
46 Correct 86 ms 13220 KB Output is correct
47 Correct 88 ms 13176 KB Output is correct
48 Correct 0 ms 212 KB Output is correct
49 Correct 0 ms 212 KB Output is correct
50 Correct 0 ms 212 KB Output is correct
51 Correct 0 ms 212 KB Output is correct
52 Correct 0 ms 212 KB Output is correct
53 Correct 0 ms 212 KB Output is correct
54 Incorrect 0 ms 212 KB Tree @(3, 7) appears more than once: for edges on positions 4 and 6
55 Halted 0 ms 0 KB -