Submission #492522

# Submission time Handle Problem Language Result Execution time Memory
492522 2021-12-07T17:07:52 Z dxz05 Fountain Parks (IOI21_parks) C++17
5 / 100
552 ms 31452 KB
#include "parks.h"
#include <bits/stdc++.h>

using namespace std;

const int N = 2e5 + 3e2;

#define all(x) (x).begin(), (x).end()

int p[N];

int find(int x){
    return (x == p[x] ? x : p[x] = find(p[x]));
}

bool unite(int x, int y){
    x = find(x);
    y = find(y);
    if (x == y) return false;
    if (rand() & 1) swap(x, y);
    p[x] = y;
    return true;
}

bool can(vector<int> &x, vector<int> &y, vector<int> &U, vector<int> &V, vector<int> &A, vector<int> &B, const vector<int> &dx, const vector<int> &dy){
    int n = x.size();

    bool ok = true;
    set<pair<int, int>> points;
    for (int it = 0; it < n - 1; it++){
        A[it] = B[it] = 0;

        int i = U[it], j = V[it];
        int X = (x[i] + x[j]) / 2, Y = (y[i] + y[j]) / 2;
        if (x[i] == x[j]){
            for (int d : dx){
                if (!points.count({x[i] + d, Y})){
                    A[it] = x[i] + d;
                    break;
                }
            }

            B[it] = Y;
        } else {
            for (int d : dy){
                if (!points.count({X, y[i] + d})){
                    B[it] = y[i] + d;
                    break;
                }
            }

            A[it] = X;
        }

        if (A[it] == 0 || B[it] == 0) ok = false;

        points.insert({A[it], B[it]});
    }

    return ok;
}

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

    vector<int> perm(n);
    iota(all(perm), 0);
    sort(all(perm), [&](int i, int j){
        return x[i] < x[j] || x[i] == x[j] && y[i] < y[j];
    });

    iota(p, p + n, 0);

    map<pair<int, int>, int> id;
    for (int i = 0; i < n; i++){
        id[{x[i], y[i]}] = i;
    }

    vector<int> U, V, A(n - 1), B(n - 1);

    vector<int> dx = {0, 2};
    vector<int> dy = {2, 0};

    for (int it = 0; it < dx.size(); it++){
        for (int i : perm){
            int X = x[i] + dx[it], Y = y[i] + dy[it];
            if (id.find({X, Y}) != id.end()){
                int j = id[{X, Y}];
                if (!unite(i, j)) continue;
                U.push_back(i);
                V.push_back(j);
            }
        }
    }

    if (U.size() != n - 1) return 0;

    if (can(x, y, U, V, A, B, {1, -1}, {1, -1})){
        build(U, V, A, B);
        return 1;
    }

    if (can(x, y, U, V, A, B, {1, -1}, {-1, 1})){
        build(U, V, A, B);
        return 1;
    }

    if (can(x, y, U, V, A, B, {-1, 1}, {1, -1})){
        build(U, V, A, B);
        return 1;
    }

    if (can(x, y, U, V, A, B, {-1, 1}, {-1, 1})){
        build(U, V, A, B);
        return 1;
    }

    return 0;
}

Compilation message

parks.cpp: In lambda function:
parks.cpp:73:44: warning: suggest parentheses around '&&' within '||' [-Wparentheses]
   73 |         return x[i] < x[j] || x[i] == x[j] && y[i] < y[j];
parks.cpp: In function 'int construct_roads(std::vector<int>, std::vector<int>)':
parks.cpp:88:25: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   88 |     for (int it = 0; it < dx.size(); it++){
      |                      ~~~^~~~~~~~~~~
parks.cpp:100:18: warning: comparison of integer expressions of different signedness: 'std::vector<int>::size_type' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  100 |     if (U.size() != n - 1) return 0;
      |         ~~~~~~~~~^~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 0 ms 300 KB Output is correct
9 Correct 150 ms 15516 KB Output is correct
10 Correct 12 ms 1996 KB Output is correct
11 Correct 71 ms 8596 KB Output is correct
12 Correct 19 ms 2904 KB Output is correct
13 Correct 35 ms 5384 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 464 KB Output is correct
16 Correct 161 ms 15652 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 0 ms 300 KB Output is correct
9 Correct 150 ms 15516 KB Output is correct
10 Correct 12 ms 1996 KB Output is correct
11 Correct 71 ms 8596 KB Output is correct
12 Correct 19 ms 2904 KB Output is correct
13 Correct 35 ms 5384 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 464 KB Output is correct
16 Correct 161 ms 15652 KB Output is correct
17 Correct 0 ms 204 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 0 ms 300 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 390 ms 31380 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 2 ms 460 KB Output is correct
26 Correct 3 ms 588 KB Output is correct
27 Correct 4 ms 736 KB Output is correct
28 Correct 123 ms 12740 KB Output is correct
29 Correct 267 ms 19128 KB Output is correct
30 Correct 304 ms 25316 KB Output is correct
31 Correct 402 ms 31452 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 320 KB Output is correct
34 Correct 0 ms 204 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 0 ms 204 KB Output is correct
37 Correct 0 ms 204 KB Output is correct
38 Correct 0 ms 204 KB Output is correct
39 Correct 0 ms 204 KB Output is correct
40 Correct 0 ms 204 KB Output is correct
41 Correct 1 ms 204 KB Output is correct
42 Correct 1 ms 296 KB Output is correct
43 Correct 2 ms 460 KB Output is correct
44 Correct 3 ms 588 KB Output is correct
45 Incorrect 185 ms 15048 KB Solution announced impossible, but it is possible.
46 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 0 ms 300 KB Output is correct
9 Correct 150 ms 15516 KB Output is correct
10 Correct 12 ms 1996 KB Output is correct
11 Correct 71 ms 8596 KB Output is correct
12 Correct 19 ms 2904 KB Output is correct
13 Correct 35 ms 5384 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 464 KB Output is correct
16 Correct 161 ms 15652 KB Output is correct
17 Correct 0 ms 204 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 0 ms 300 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 390 ms 31380 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 2 ms 460 KB Output is correct
26 Correct 3 ms 588 KB Output is correct
27 Correct 4 ms 736 KB Output is correct
28 Correct 123 ms 12740 KB Output is correct
29 Correct 267 ms 19128 KB Output is correct
30 Correct 304 ms 25316 KB Output is correct
31 Correct 402 ms 31452 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 320 KB Output is correct
34 Correct 0 ms 204 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 0 ms 204 KB Output is correct
37 Correct 0 ms 204 KB Output is correct
38 Correct 0 ms 204 KB Output is correct
39 Correct 0 ms 204 KB Output is correct
40 Correct 0 ms 204 KB Output is correct
41 Correct 1 ms 204 KB Output is correct
42 Correct 1 ms 296 KB Output is correct
43 Correct 2 ms 460 KB Output is correct
44 Correct 3 ms 588 KB Output is correct
45 Incorrect 185 ms 15048 KB Solution announced impossible, but it is possible.
46 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 0 ms 300 KB Output is correct
9 Correct 150 ms 15516 KB Output is correct
10 Correct 12 ms 1996 KB Output is correct
11 Correct 71 ms 8596 KB Output is correct
12 Correct 19 ms 2904 KB Output is correct
13 Correct 35 ms 5384 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 464 KB Output is correct
16 Correct 161 ms 15652 KB Output is correct
17 Correct 1 ms 204 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 0 ms 204 KB Output is correct
20 Correct 403 ms 30640 KB Output is correct
21 Correct 426 ms 30568 KB Output is correct
22 Correct 393 ms 30780 KB Output is correct
23 Correct 324 ms 26340 KB Output is correct
24 Correct 239 ms 19680 KB Output is correct
25 Correct 292 ms 21424 KB Output is correct
26 Correct 249 ms 21572 KB Output is correct
27 Correct 376 ms 30512 KB Output is correct
28 Correct 408 ms 30512 KB Output is correct
29 Correct 552 ms 30532 KB Output is correct
30 Correct 415 ms 30544 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Incorrect 25 ms 2508 KB Solution announced impossible, but it is possible.
33 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 0 ms 300 KB Output is correct
9 Correct 150 ms 15516 KB Output is correct
10 Correct 12 ms 1996 KB Output is correct
11 Correct 71 ms 8596 KB Output is correct
12 Correct 19 ms 2904 KB Output is correct
13 Correct 35 ms 5384 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 464 KB Output is correct
16 Correct 161 ms 15652 KB Output is correct
17 Correct 419 ms 31076 KB Output is correct
18 Correct 521 ms 30920 KB Output is correct
19 Incorrect 518 ms 30640 KB Solution announced impossible, but it is possible.
20 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 204 KB Output is correct
5 Correct 0 ms 204 KB Output is correct
6 Correct 0 ms 204 KB Output is correct
7 Correct 1 ms 204 KB Output is correct
8 Correct 0 ms 300 KB Output is correct
9 Correct 150 ms 15516 KB Output is correct
10 Correct 12 ms 1996 KB Output is correct
11 Correct 71 ms 8596 KB Output is correct
12 Correct 19 ms 2904 KB Output is correct
13 Correct 35 ms 5384 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 2 ms 464 KB Output is correct
16 Correct 161 ms 15652 KB Output is correct
17 Correct 0 ms 204 KB Output is correct
18 Correct 0 ms 204 KB Output is correct
19 Correct 1 ms 204 KB Output is correct
20 Correct 0 ms 300 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 390 ms 31380 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 2 ms 460 KB Output is correct
26 Correct 3 ms 588 KB Output is correct
27 Correct 4 ms 736 KB Output is correct
28 Correct 123 ms 12740 KB Output is correct
29 Correct 267 ms 19128 KB Output is correct
30 Correct 304 ms 25316 KB Output is correct
31 Correct 402 ms 31452 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 1 ms 320 KB Output is correct
34 Correct 0 ms 204 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 0 ms 204 KB Output is correct
37 Correct 0 ms 204 KB Output is correct
38 Correct 0 ms 204 KB Output is correct
39 Correct 0 ms 204 KB Output is correct
40 Correct 0 ms 204 KB Output is correct
41 Correct 1 ms 204 KB Output is correct
42 Correct 1 ms 296 KB Output is correct
43 Correct 2 ms 460 KB Output is correct
44 Correct 3 ms 588 KB Output is correct
45 Incorrect 185 ms 15048 KB Solution announced impossible, but it is possible.
46 Halted 0 ms 0 KB -