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Submission #446412

# Submission time Handle Problem Language Result Execution time Memory
446412 2021-07-21T21:22:55 Z luciocf Fountain Parks (IOI21_parks) C++17
30 / 100
 3500 ms 56868 KB 
#include <bits/stdc++.h>
#include "parks.h"

using namespace std;

const int maxn = 2e5+10;

int linha[] = {-2, 2, 0, 0};
int coluna[] = {0, 0, -2, 2};

struct Pt
{
    int x, y, ind;
} a[maxn];

struct Road
{
    int u, v, x, y;
} road[maxn];

bool mark[maxn];

struct DSU
{
    int pai[maxn], peso[maxn];

    void init(int n)
    {
        for (int i = 1; i <= n; i++)
            pai[i] = i;
    }

    int Find(int x)
    {
        if (pai[x] == x) return x;
        return pai[x] = Find(pai[x]);
    }

    void Join(int x, int y)
    {
        x = Find(x), y = Find(y);
        if (x == y) return;

        if (peso[x] < peso[y]) swap(x, y);

        pai[y] = x, peso[x] += peso[y]; 
    }
} dsu;

bool comp(Pt a, Pt b)
{
    if (a.x == b.x) return a.y < b.y;
    return a.x < b.x;
}

int construct_roads(vector<int> X, vector<int> Y)
{
    int n = X.size();

    bool sub = 1;
    int mn = 8, mx = 0;

    map<pair<int, int>, int> mp;

    for (int i = 1; i <= n; i++)
    {
        a[i] = {X[i-1], Y[i-1], i};

        mp[{a[i].x, a[i].y}] = i;

        mx = max(mx, a[i].x);
        mn = min(mn, a[i].x);
    }

    if (mx > 6) sub = 0;

    dsu.init(n);

    if (sub)
    {
        map<pair<int, int>, int> bench;

        sort(a+1, a+n+1, comp);

        int ind = 0;

        for (int i = 1; i < n; i++)
        {
            if (dsu.Find(a[i].ind) != dsu.Find(a[i+1].ind) && a[i].x == a[i+1].x && a[i].y+2 == a[i+1].y)
            {
                dsu.Join(a[i].ind, a[i+1].ind);

                road[++ind] = {a[i].ind, a[i+1].ind, a[i].x-1, a[i].y+1};

                if (a[i].x == mx)
                {
                    road[ind].x = a[i].x+1, road[ind].y = a[i].y+1;
                    bench[{a[i].x+1, a[i].y+1}] = 1;
                }
                else if (a[i].x == mn)
                {
                    bench[{a[i].x-1, a[i].y+1}] = 1;
                } 
                else
                {
                    if (bench[{a[i].x-1, a[i].y+1}] == 1)
                    {
                        road[ind].x = a[i].x+1, road[ind].y = a[i].y+1;
                        bench[{a[i].x+1, a[i].y+1}] = 1;
                    }
                    else
                    {
                        bench[{a[i].x-1, a[i].y+1}] = 1;
                    }
                }
            }

            if (mp[{a[i].x+2, a[i].y}] && dsu.Find(a[i].ind) != dsu.Find(mp[{a[i].x+2, a[i].y}]))
            {
                dsu.Join(a[i].ind, mp[{a[i].x+2, a[i].y}]);

                if (bench[{a[i].x+1, a[i].y-1}])
                {
                    road[++ind] = {a[i].ind, mp[{a[i].x+2, a[i].y}], a[i].x+1, a[i].y+1};
                    bench[{a[i].x+1, a[i].y+1}] = 1;
                }
                else
                {
                    road[++ind] = {a[i].ind, mp[{a[i].x+2, a[i].y}], a[i].x+1, a[i].y-1};
                    bench[{a[i].x+1, a[i].y-1}] = 1;
                }
            }
        }

        if (ind != n-1) return 0;

        vector<int> U, V, A, B;

        for (int i = 1; i < n; i++)
        {
            U.push_back(road[i].u-1), V.push_back(road[i].v-1);
            A.push_back(road[i].x), B.push_back(road[i].y);
        }

        build(U, V, A, B);
        return 1;
    }

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

    int ind = 0;

    queue<int> fila;
    fila.push(1), mark[1] = 1;

    while (!fila.empty())
    {
        int i = fila.front();

        for (int j = 0; j < 4; j++)
        {
            int dx = a[i].x+linha[j], dy = a[i].y+coluna[j];

            if (!mp[{dx, dy}]) continue;

            int o = mp[{dx, dy}];

            if (mark[o]) continue;

            mark[o] = 1, fila.push(o);

            if (dsu.Find(i) != dsu.Find(o) && a[i].x == a[o].x && a[i].y+2 == a[o].y)
            {
                dsu.Join(i, o);

                road[++ind] = {i, o, a[i].x-1, a[i].y+1};

                if (bench[{a[i].x-1, a[i].y+1}] == 1)
                {
                    road[ind].x = a[i].x+1, road[ind].y = a[i].y+1;
                    bench[{a[i].x+1, a[i].y+1}] = 1;
                }
                else
                {
                    bench[{a[i].x-1, a[i].y+1}] = 1;
                }
            }

            if (dsu.Find(i) != dsu.Find(o) && a[i].x+2 == a[o].x)
            {
                dsu.Join(i, o);

                if (bench[{a[i].x+1, a[i].y-1}])
                {
                    road[++ind] = {i, o, a[i].x+1, a[i].y+1};
                    bench[{a[i].x+1, a[i].y+1}] = 1;
                }
                else
                {
                    road[++ind] = {i, o, a[i].x+1, a[i].y-1};
                    bench[{a[i].x+1, a[i].y-1}] = 1;
                }
            }
        }
    }

    if (ind != n-1) return 0;

    vector<int> U, V, A, B;

    for (int i = 1; i < n; i++)
    {
        U.push_back(road[i].u-1), V.push_back(road[i].v-1);
        A.push_back(road[i].x), B.push_back(road[i].y);
    }

    build(U, V, A, B);
    return 1;
}

Subtask #1
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 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 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 181 ms 28624 KB Output is correct
10 Correct 14 ms 3276 KB Output is correct
11 Correct 78 ms 15592 KB Output is correct
12 Correct 20 ms 4728 KB Output is correct
13 Correct 47 ms 10604 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 2 ms 716 KB Output is correct
16 Correct 184 ms 28556 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 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 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 181 ms 28624 KB Output is correct
10 Correct 14 ms 3276 KB Output is correct
11 Correct 78 ms 15592 KB Output is correct
12 Correct 20 ms 4728 KB Output is correct
13 Correct 47 ms 10604 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 2 ms 716 KB Output is correct
16 Correct 184 ms 28556 KB Output is correct
17 Correct 0 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 1 ms 204 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 479 ms 50544 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 2 ms 588 KB Output is correct
26 Correct 4 ms 844 KB Output is correct
27 Correct 5 ms 1100 KB Output is correct
28 Correct 150 ms 20520 KB Output is correct
29 Correct 247 ms 30508 KB Output is correct
30 Correct 344 ms 40608 KB Output is correct
31 Correct 445 ms 50664 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 0 ms 204 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 0 ms 204 KB Output is correct
38 Correct 1 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 0 ms 204 KB Output is correct
42 Correct 0 ms 204 KB Output is correct
43 Correct 2 ms 716 KB Output is correct
44 Correct 3 ms 844 KB Output is correct
45 Correct 189 ms 27052 KB Output is correct
46 Correct 293 ms 39064 KB Output is correct
47 Correct 292 ms 39072 KB Output is correct

Subtask #3
15.0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 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 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 181 ms 28624 KB Output is correct
10 Correct 14 ms 3276 KB Output is correct
11 Correct 78 ms 15592 KB Output is correct
12 Correct 20 ms 4728 KB Output is correct
13 Correct 47 ms 10604 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 2 ms 716 KB Output is correct
16 Correct 184 ms 28556 KB Output is correct
17 Correct 0 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 1 ms 204 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 479 ms 50544 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 2 ms 588 KB Output is correct
26 Correct 4 ms 844 KB Output is correct
27 Correct 5 ms 1100 KB Output is correct
28 Correct 150 ms 20520 KB Output is correct
29 Correct 247 ms 30508 KB Output is correct
30 Correct 344 ms 40608 KB Output is correct
31 Correct 445 ms 50664 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 0 ms 204 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 0 ms 204 KB Output is correct
38 Correct 1 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 0 ms 204 KB Output is correct
42 Correct 0 ms 204 KB Output is correct
43 Correct 2 ms 716 KB Output is correct
44 Correct 3 ms 844 KB Output is correct
45 Correct 189 ms 27052 KB Output is correct
46 Correct 293 ms 39064 KB Output is correct
47 Correct 292 ms 39072 KB Output is correct
48 Correct 0 ms 204 KB Output is correct
49 Correct 1 ms 204 KB Output is correct
50 Correct 0 ms 204 KB Output is correct
51 Correct 0 ms 204 KB Output is correct
52 Correct 0 ms 204 KB Output is correct
53 Correct 0 ms 204 KB Output is correct
54 Correct 0 ms 204 KB Output is correct
55 Correct 452 ms 48548 KB Output is correct
56 Correct 0 ms 204 KB Output is correct
57 Correct 3 ms 716 KB Output is correct
58 Correct 9 ms 1860 KB Output is correct
59 Correct 12 ms 2252 KB Output is correct
60 Correct 194 ms 24472 KB Output is correct
61 Correct 285 ms 32800 KB Output is correct
62 Correct 358 ms 40080 KB Output is correct
63 Correct 448 ms 48408 KB Output is correct
64 Correct 0 ms 204 KB Output is correct
65 Correct 0 ms 204 KB Output is correct
66 Correct 0 ms 204 KB Output is correct
67 Correct 421 ms 56868 KB Output is correct
68 Correct 424 ms 56864 KB Output is correct
69 Correct 421 ms 56604 KB Output is correct
70 Correct 5 ms 1100 KB Output is correct
71 Correct 10 ms 1996 KB Output is correct
72 Correct 188 ms 26788 KB Output is correct
73 Correct 308 ms 39964 KB Output is correct
74 Correct 447 ms 53264 KB Output is correct
75 Correct 468 ms 51944 KB Output is correct
76 Correct 428 ms 56736 KB Output is correct
77 Correct 6 ms 1356 KB Output is correct
78 Correct 10 ms 2164 KB Output is correct
79 Correct 188 ms 26476 KB Output is correct
80 Correct 315 ms 39580 KB Output is correct
81 Correct 443 ms 52668 KB Output is correct

Subtask #4
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 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 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 181 ms 28624 KB Output is correct
10 Correct 14 ms 3276 KB Output is correct
11 Correct 78 ms 15592 KB Output is correct
12 Correct 20 ms 4728 KB Output is correct
13 Correct 47 ms 10604 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 2 ms 716 KB Output is correct
16 Correct 184 ms 28556 KB Output is correct
17 Execution timed out 3595 ms 204 KB Time limit exceeded
18 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 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 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 181 ms 28624 KB Output is correct
10 Correct 14 ms 3276 KB Output is correct
11 Correct 78 ms 15592 KB Output is correct
12 Correct 20 ms 4728 KB Output is correct
13 Correct 47 ms 10604 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 2 ms 716 KB Output is correct
16 Correct 184 ms 28556 KB Output is correct
17 Execution timed out 3600 ms 19024 KB Time limit exceeded
18 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 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 0 ms 204 KB Output is correct
8 Correct 0 ms 204 KB Output is correct
9 Correct 181 ms 28624 KB Output is correct
10 Correct 14 ms 3276 KB Output is correct
11 Correct 78 ms 15592 KB Output is correct
12 Correct 20 ms 4728 KB Output is correct
13 Correct 47 ms 10604 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 2 ms 716 KB Output is correct
16 Correct 184 ms 28556 KB Output is correct
17 Correct 0 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 1 ms 204 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 479 ms 50544 KB Output is correct
24 Correct 1 ms 204 KB Output is correct
25 Correct 2 ms 588 KB Output is correct
26 Correct 4 ms 844 KB Output is correct
27 Correct 5 ms 1100 KB Output is correct
28 Correct 150 ms 20520 KB Output is correct
29 Correct 247 ms 30508 KB Output is correct
30 Correct 344 ms 40608 KB Output is correct
31 Correct 445 ms 50664 KB Output is correct
32 Correct 0 ms 204 KB Output is correct
33 Correct 1 ms 204 KB Output is correct
34 Correct 0 ms 204 KB Output is correct
35 Correct 0 ms 204 KB Output is correct
36 Correct 1 ms 204 KB Output is correct
37 Correct 0 ms 204 KB Output is correct
38 Correct 1 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 0 ms 204 KB Output is correct
42 Correct 0 ms 204 KB Output is correct
43 Correct 2 ms 716 KB Output is correct
44 Correct 3 ms 844 KB Output is correct
45 Correct 189 ms 27052 KB Output is correct
46 Correct 293 ms 39064 KB Output is correct
47 Correct 292 ms 39072 KB Output is correct
48 Correct 0 ms 204 KB Output is correct
49 Correct 1 ms 204 KB Output is correct
50 Correct 0 ms 204 KB Output is correct
51 Correct 0 ms 204 KB Output is correct
52 Correct 0 ms 204 KB Output is correct
53 Correct 0 ms 204 KB Output is correct
54 Correct 0 ms 204 KB Output is correct
55 Correct 452 ms 48548 KB Output is correct
56 Correct 0 ms 204 KB Output is correct
57 Correct 3 ms 716 KB Output is correct
58 Correct 9 ms 1860 KB Output is correct
59 Correct 12 ms 2252 KB Output is correct
60 Correct 194 ms 24472 KB Output is correct
61 Correct 285 ms 32800 KB Output is correct
62 Correct 358 ms 40080 KB Output is correct
63 Correct 448 ms 48408 KB Output is correct
64 Correct 0 ms 204 KB Output is correct
65 Correct 0 ms 204 KB Output is correct
66 Correct 0 ms 204 KB Output is correct
67 Correct 421 ms 56868 KB Output is correct
68 Correct 424 ms 56864 KB Output is correct
69 Correct 421 ms 56604 KB Output is correct
70 Correct 5 ms 1100 KB Output is correct
71 Correct 10 ms 1996 KB Output is correct
72 Correct 188 ms 26788 KB Output is correct
73 Correct 308 ms 39964 KB Output is correct
74 Correct 447 ms 53264 KB Output is correct
75 Correct 468 ms 51944 KB Output is correct
76 Correct 428 ms 56736 KB Output is correct
77 Correct 6 ms 1356 KB Output is correct
78 Correct 10 ms 2164 KB Output is correct
79 Correct 188 ms 26476 KB Output is correct
80 Correct 315 ms 39580 KB Output is correct
81 Correct 443 ms 52668 KB Output is correct
82 Execution timed out 3595 ms 204 KB Time limit exceeded
83 Halted 0 ms 0 KB -