Submission #588107

# Submission time Handle Problem Language Result Execution time Memory
588107 2022-07-02T17:33:03 Z Clan328 Fountain Parks (IOI21_parks) C++17
15 / 100
160 ms 23308 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;
        }

        for (int i = 0; i < maxY/2; i++) {
            if (mat[i][0] && mat[i][1]) {
                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]) {
                u.pb(matIdx[i][0]);
                v.pb(matIdx[i][1]);
                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][1]);
                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]);
                a.pb(3);
                b.pb(2*i+3);
                unite(matIdx[i][1], matIdx[i+1][1]);
            }
        }

        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 0 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 0 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 59 ms 9384 KB Output is correct
10 Correct 5 ms 1364 KB Output is correct
11 Correct 26 ms 5204 KB Output is correct
12 Correct 8 ms 1884 KB Output is correct
13 Correct 9 ms 2788 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 55 ms 9396 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 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 0 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 59 ms 9384 KB Output is correct
10 Correct 5 ms 1364 KB Output is correct
11 Correct 26 ms 5204 KB Output is correct
12 Correct 8 ms 1884 KB Output is correct
13 Correct 9 ms 2788 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 55 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 160 ms 23264 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 2 ms 468 KB Output is correct
27 Correct 2 ms 596 KB Output is correct
28 Correct 53 ms 9532 KB Output is correct
29 Correct 93 ms 14072 KB Output is correct
30 Correct 114 ms 18692 KB Output is correct
31 Correct 150 ms 23308 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 0 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 0 ms 212 KB Output is correct
42 Correct 0 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 60 ms 9168 KB Output is correct
46 Correct 86 ms 13208 KB Output is correct
47 Correct 81 ms 13232 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 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 0 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 59 ms 9384 KB Output is correct
10 Correct 5 ms 1364 KB Output is correct
11 Correct 26 ms 5204 KB Output is correct
12 Correct 8 ms 1884 KB Output is correct
13 Correct 9 ms 2788 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 55 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 160 ms 23264 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 2 ms 468 KB Output is correct
27 Correct 2 ms 596 KB Output is correct
28 Correct 53 ms 9532 KB Output is correct
29 Correct 93 ms 14072 KB Output is correct
30 Correct 114 ms 18692 KB Output is correct
31 Correct 150 ms 23308 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 0 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 0 ms 212 KB Output is correct
42 Correct 0 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 60 ms 9168 KB Output is correct
46 Correct 86 ms 13208 KB Output is correct
47 Correct 81 ms 13232 KB Output is correct
48 Incorrect 0 ms 212 KB Pair u[2]=0 @(6, 2) and v[2]=3 @(4, 4) does not form a valid edge (distance != 2)
49 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 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 0 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 59 ms 9384 KB Output is correct
10 Correct 5 ms 1364 KB Output is correct
11 Correct 26 ms 5204 KB Output is correct
12 Correct 8 ms 1884 KB Output is correct
13 Correct 9 ms 2788 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 55 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 0 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 0 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 59 ms 9384 KB Output is correct
10 Correct 5 ms 1364 KB Output is correct
11 Correct 26 ms 5204 KB Output is correct
12 Correct 8 ms 1884 KB Output is correct
13 Correct 9 ms 2788 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 55 ms 9396 KB Output is correct
17 Runtime error 49 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 0 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 0 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 59 ms 9384 KB Output is correct
10 Correct 5 ms 1364 KB Output is correct
11 Correct 26 ms 5204 KB Output is correct
12 Correct 8 ms 1884 KB Output is correct
13 Correct 9 ms 2788 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 55 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 160 ms 23264 KB Output is correct
24 Correct 0 ms 212 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 2 ms 468 KB Output is correct
27 Correct 2 ms 596 KB Output is correct
28 Correct 53 ms 9532 KB Output is correct
29 Correct 93 ms 14072 KB Output is correct
30 Correct 114 ms 18692 KB Output is correct
31 Correct 150 ms 23308 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 0 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 0 ms 212 KB Output is correct
42 Correct 0 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 60 ms 9168 KB Output is correct
46 Correct 86 ms 13208 KB Output is correct
47 Correct 81 ms 13232 KB Output is correct
48 Incorrect 0 ms 212 KB Pair u[2]=0 @(6, 2) and v[2]=3 @(4, 4) does not form a valid edge (distance != 2)
49 Halted 0 ms 0 KB -