Submission #588110

# Submission time Handle Problem Language Result Execution time Memory
588110 2022-07-02T17:34:45 Z Clan328 Fountain Parks (IOI21_parks) C++17
15 / 100
156 ms 24048 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][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]);
                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 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 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 56 ms 9424 KB Output is correct
10 Correct 6 ms 1364 KB Output is correct
11 Correct 30 ms 5240 KB Output is correct
12 Correct 8 ms 1876 KB Output is correct
13 Correct 15 ms 2892 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 56 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 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 56 ms 9424 KB Output is correct
10 Correct 6 ms 1364 KB Output is correct
11 Correct 30 ms 5240 KB Output is correct
12 Correct 8 ms 1876 KB Output is correct
13 Correct 15 ms 2892 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 56 ms 9396 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 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 1 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 147 ms 23216 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 472 KB Output is correct
27 Correct 1 ms 564 KB Output is correct
28 Correct 64 ms 9800 KB Output is correct
29 Correct 84 ms 14592 KB Output is correct
30 Correct 112 ms 18708 KB Output is correct
31 Correct 156 ms 24048 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 0 ms 296 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 296 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 308 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 312 KB Output is correct
44 Correct 2 ms 444 KB Output is correct
45 Correct 56 ms 9848 KB Output is correct
46 Correct 85 ms 13900 KB Output is correct
47 Correct 85 ms 13952 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 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 56 ms 9424 KB Output is correct
10 Correct 6 ms 1364 KB Output is correct
11 Correct 30 ms 5240 KB Output is correct
12 Correct 8 ms 1876 KB Output is correct
13 Correct 15 ms 2892 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 56 ms 9396 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 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 1 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 147 ms 23216 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 472 KB Output is correct
27 Correct 1 ms 564 KB Output is correct
28 Correct 64 ms 9800 KB Output is correct
29 Correct 84 ms 14592 KB Output is correct
30 Correct 112 ms 18708 KB Output is correct
31 Correct 156 ms 24048 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 0 ms 296 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 296 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 308 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 312 KB Output is correct
44 Correct 2 ms 444 KB Output is correct
45 Correct 56 ms 9848 KB Output is correct
46 Correct 85 ms 13900 KB Output is correct
47 Correct 85 ms 13952 KB Output is correct
48 Incorrect 1 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 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 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 56 ms 9424 KB Output is correct
10 Correct 6 ms 1364 KB Output is correct
11 Correct 30 ms 5240 KB Output is correct
12 Correct 8 ms 1876 KB Output is correct
13 Correct 15 ms 2892 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 56 ms 9396 KB Output is correct
17 Runtime error 1 ms 300 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 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 56 ms 9424 KB Output is correct
10 Correct 6 ms 1364 KB Output is correct
11 Correct 30 ms 5240 KB Output is correct
12 Correct 8 ms 1876 KB Output is correct
13 Correct 15 ms 2892 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 56 ms 9396 KB Output is correct
17 Runtime error 52 ms 19472 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 0 ms 212 KB Output is correct
7 Correct 0 ms 212 KB Output is correct
8 Correct 1 ms 212 KB Output is correct
9 Correct 56 ms 9424 KB Output is correct
10 Correct 6 ms 1364 KB Output is correct
11 Correct 30 ms 5240 KB Output is correct
12 Correct 8 ms 1876 KB Output is correct
13 Correct 15 ms 2892 KB Output is correct
14 Correct 0 ms 340 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 56 ms 9396 KB Output is correct
17 Correct 0 ms 212 KB Output is correct
18 Correct 1 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 1 ms 212 KB Output is correct
22 Correct 0 ms 212 KB Output is correct
23 Correct 147 ms 23216 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 472 KB Output is correct
27 Correct 1 ms 564 KB Output is correct
28 Correct 64 ms 9800 KB Output is correct
29 Correct 84 ms 14592 KB Output is correct
30 Correct 112 ms 18708 KB Output is correct
31 Correct 156 ms 24048 KB Output is correct
32 Correct 1 ms 212 KB Output is correct
33 Correct 1 ms 212 KB Output is correct
34 Correct 0 ms 296 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 296 KB Output is correct
38 Correct 1 ms 212 KB Output is correct
39 Correct 0 ms 212 KB Output is correct
40 Correct 1 ms 212 KB Output is correct
41 Correct 1 ms 308 KB Output is correct
42 Correct 1 ms 212 KB Output is correct
43 Correct 1 ms 312 KB Output is correct
44 Correct 2 ms 444 KB Output is correct
45 Correct 56 ms 9848 KB Output is correct
46 Correct 85 ms 13900 KB Output is correct
47 Correct 85 ms 13952 KB Output is correct
48 Incorrect 1 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 -