Submission #588101

# Submission time Handle Problem Language Result Execution time Memory
588101 2022-07-02T17:23:54 Z Clan328 Fountain Parks (IOI21_parks) C++17
15 / 100
176 ms 23960 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[x[i]/2-1][y[i]/2-1] = 1;
            matIdx[x[i]/2-1][y[i]/2-1] = i;
        }

        for (int i = 0; i < maxY/2-1; 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]);
            }

            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 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 55 ms 9388 KB Output is correct
10 Correct 5 ms 1364 KB Output is correct
11 Correct 29 ms 5200 KB Output is correct
12 Correct 7 ms 1876 KB Output is correct
13 Correct 9 ms 2892 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 63 ms 9408 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 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 55 ms 9388 KB Output is correct
10 Correct 5 ms 1364 KB Output is correct
11 Correct 29 ms 5200 KB Output is correct
12 Correct 7 ms 1876 KB Output is correct
13 Correct 9 ms 2892 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 63 ms 9408 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 146 ms 23252 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 564 KB Output is correct
27 Correct 2 ms 564 KB Output is correct
28 Correct 54 ms 10100 KB Output is correct
29 Correct 83 ms 14644 KB Output is correct
30 Correct 134 ms 18748 KB Output is correct
31 Correct 176 ms 23960 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 304 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 1 ms 296 KB Output is correct
40 Correct 1 ms 300 KB Output is correct
41 Correct 1 ms 300 KB Output is correct
42 Correct 1 ms 304 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 440 KB Output is correct
45 Correct 56 ms 9736 KB Output is correct
46 Correct 99 ms 13620 KB Output is correct
47 Correct 100 ms 13604 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 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 55 ms 9388 KB Output is correct
10 Correct 5 ms 1364 KB Output is correct
11 Correct 29 ms 5200 KB Output is correct
12 Correct 7 ms 1876 KB Output is correct
13 Correct 9 ms 2892 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 63 ms 9408 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 146 ms 23252 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 564 KB Output is correct
27 Correct 2 ms 564 KB Output is correct
28 Correct 54 ms 10100 KB Output is correct
29 Correct 83 ms 14644 KB Output is correct
30 Correct 134 ms 18748 KB Output is correct
31 Correct 176 ms 23960 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 304 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 1 ms 296 KB Output is correct
40 Correct 1 ms 300 KB Output is correct
41 Correct 1 ms 300 KB Output is correct
42 Correct 1 ms 304 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 440 KB Output is correct
45 Correct 56 ms 9736 KB Output is correct
46 Correct 99 ms 13620 KB Output is correct
47 Correct 100 ms 13604 KB Output is correct
48 Runtime error 1 ms 404 KB Execution killed with signal 11
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 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 55 ms 9388 KB Output is correct
10 Correct 5 ms 1364 KB Output is correct
11 Correct 29 ms 5200 KB Output is correct
12 Correct 7 ms 1876 KB Output is correct
13 Correct 9 ms 2892 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 63 ms 9408 KB Output is correct
17 Runtime error 1 ms 296 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 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 55 ms 9388 KB Output is correct
10 Correct 5 ms 1364 KB Output is correct
11 Correct 29 ms 5200 KB Output is correct
12 Correct 7 ms 1876 KB Output is correct
13 Correct 9 ms 2892 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 63 ms 9408 KB Output is correct
17 Runtime error 68 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 1 ms 212 KB Output is correct
5 Correct 1 ms 212 KB Output is correct
6 Correct 1 ms 212 KB Output is correct
7 Correct 1 ms 212 KB Output is correct
8 Correct 0 ms 212 KB Output is correct
9 Correct 55 ms 9388 KB Output is correct
10 Correct 5 ms 1364 KB Output is correct
11 Correct 29 ms 5200 KB Output is correct
12 Correct 7 ms 1876 KB Output is correct
13 Correct 9 ms 2892 KB Output is correct
14 Correct 1 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 63 ms 9408 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 146 ms 23252 KB Output is correct
24 Correct 1 ms 212 KB Output is correct
25 Correct 1 ms 468 KB Output is correct
26 Correct 1 ms 564 KB Output is correct
27 Correct 2 ms 564 KB Output is correct
28 Correct 54 ms 10100 KB Output is correct
29 Correct 83 ms 14644 KB Output is correct
30 Correct 134 ms 18748 KB Output is correct
31 Correct 176 ms 23960 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 1 ms 212 KB Output is correct
35 Correct 1 ms 212 KB Output is correct
36 Correct 0 ms 304 KB Output is correct
37 Correct 1 ms 212 KB Output is correct
38 Correct 0 ms 212 KB Output is correct
39 Correct 1 ms 296 KB Output is correct
40 Correct 1 ms 300 KB Output is correct
41 Correct 1 ms 300 KB Output is correct
42 Correct 1 ms 304 KB Output is correct
43 Correct 1 ms 340 KB Output is correct
44 Correct 1 ms 440 KB Output is correct
45 Correct 56 ms 9736 KB Output is correct
46 Correct 99 ms 13620 KB Output is correct
47 Correct 100 ms 13604 KB Output is correct
48 Runtime error 1 ms 404 KB Execution killed with signal 11
49 Halted 0 ms 0 KB -