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답안 #446408

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
446408 2021-07-21T21:15:49 Z luciocf 분수 공원 (IOI21_parks) C++17
30 / 100
 1306 ms 70076 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];

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;

    for (int i = 1; i < n; i++)
    {
        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 (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] = {a[i].ind, a[i+1].ind, 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] = {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;
}

Subtask #1
5.0 / 5.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 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 1 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 184 ms 28544 KB Output is correct
10 Correct 14 ms 3344 KB Output is correct
11 Correct 79 ms 15592 KB Output is correct
12 Correct 22 ms 4816 KB Output is correct
13 Correct 48 ms 10564 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 2 ms 716 KB Output is correct
16 Correct 207 ms 28588 KB Output is correct

Subtask #2
10.0 / 10.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 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 1 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 184 ms 28544 KB Output is correct
10 Correct 14 ms 3344 KB Output is correct
11 Correct 79 ms 15592 KB Output is correct
12 Correct 22 ms 4816 KB Output is correct
13 Correct 48 ms 10564 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 2 ms 716 KB Output is correct
16 Correct 207 ms 28588 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 204 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 495 ms 50620 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 20528 KB Output is correct
29 Correct 240 ms 30500 KB Output is correct
30 Correct 351 ms 40512 KB Output is correct
31 Correct 454 ms 50464 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 0 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 0 ms 204 KB Output is correct
37 Correct 1 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 1 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 3 ms 716 KB Output is correct
44 Correct 3 ms 972 KB Output is correct
45 Correct 192 ms 26996 KB Output is correct
46 Correct 308 ms 39068 KB Output is correct
47 Correct 298 ms 39064 KB Output is correct

Subtask #3
15.0 / 15.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 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 1 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 184 ms 28544 KB Output is correct
10 Correct 14 ms 3344 KB Output is correct
11 Correct 79 ms 15592 KB Output is correct
12 Correct 22 ms 4816 KB Output is correct
13 Correct 48 ms 10564 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 2 ms 716 KB Output is correct
16 Correct 207 ms 28588 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 204 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 495 ms 50620 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 20528 KB Output is correct
29 Correct 240 ms 30500 KB Output is correct
30 Correct 351 ms 40512 KB Output is correct
31 Correct 454 ms 50464 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 0 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 0 ms 204 KB Output is correct
37 Correct 1 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 1 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 3 ms 716 KB Output is correct
44 Correct 3 ms 972 KB Output is correct
45 Correct 192 ms 26996 KB Output is correct
46 Correct 308 ms 39068 KB Output is correct
47 Correct 298 ms 39064 KB Output is correct
48 Correct 0 ms 204 KB Output is correct
49 Correct 0 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 1 ms 204 KB Output is correct
54 Correct 0 ms 204 KB Output is correct
55 Correct 461 ms 48356 KB Output is correct
56 Correct 1 ms 224 KB Output is correct
57 Correct 3 ms 716 KB Output is correct
58 Correct 10 ms 1860 KB Output is correct
59 Correct 12 ms 2264 KB Output is correct
60 Correct 197 ms 24424 KB Output is correct
61 Correct 289 ms 32808 KB Output is correct
62 Correct 365 ms 39980 KB Output is correct
63 Correct 469 ms 48408 KB Output is correct
64 Correct 0 ms 204 KB Output is correct
65 Correct 0 ms 284 KB Output is correct
66 Correct 0 ms 204 KB Output is correct
67 Correct 433 ms 56704 KB Output is correct
68 Correct 437 ms 56720 KB Output is correct
69 Correct 481 ms 56476 KB Output is correct
70 Correct 5 ms 1100 KB Output is correct
71 Correct 9 ms 2036 KB Output is correct
72 Correct 231 ms 26776 KB Output is correct
73 Correct 345 ms 39944 KB Output is correct
74 Correct 458 ms 53260 KB Output is correct
75 Correct 479 ms 51784 KB Output is correct
76 Correct 495 ms 56748 KB Output is correct
77 Correct 6 ms 1356 KB Output is correct
78 Correct 11 ms 2168 KB Output is correct
79 Correct 199 ms 26540 KB Output is correct
80 Correct 323 ms 39576 KB Output is correct
81 Correct 456 ms 52636 KB Output is correct

Subtask #4
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 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 1 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 184 ms 28544 KB Output is correct
10 Correct 14 ms 3344 KB Output is correct
11 Correct 79 ms 15592 KB Output is correct
12 Correct 22 ms 4816 KB Output is correct
13 Correct 48 ms 10564 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 2 ms 716 KB Output is correct
16 Correct 207 ms 28588 KB Output is correct
17 Incorrect 1 ms 204 KB Solution announced impossible, but it is possible.
18 Halted 0 ms 0 KB -

Subtask #5
0 / 20.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 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 1 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 184 ms 28544 KB Output is correct
10 Correct 14 ms 3344 KB Output is correct
11 Correct 79 ms 15592 KB Output is correct
12 Correct 22 ms 4816 KB Output is correct
13 Correct 48 ms 10564 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 2 ms 716 KB Output is correct
16 Correct 207 ms 28588 KB Output is correct
17 Incorrect 1306 ms 70076 KB Pair u[1]=1 @(100002, 52498) and v[1]=2 @(82816, 2) does not form a valid edge (distance != 2)
18 Halted 0 ms 0 KB -

Subtask #6
0 / 30.0

# 결과 실행 시간 메모리 Grader output
1 Correct 0 ms 204 KB Output is correct
2 Correct 0 ms 204 KB Output is correct
3 Correct 1 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 1 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 184 ms 28544 KB Output is correct
10 Correct 14 ms 3344 KB Output is correct
11 Correct 79 ms 15592 KB Output is correct
12 Correct 22 ms 4816 KB Output is correct
13 Correct 48 ms 10564 KB Output is correct
14 Correct 1 ms 460 KB Output is correct
15 Correct 2 ms 716 KB Output is correct
16 Correct 207 ms 28588 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 204 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 0 ms 204 KB Output is correct
23 Correct 495 ms 50620 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 20528 KB Output is correct
29 Correct 240 ms 30500 KB Output is correct
30 Correct 351 ms 40512 KB Output is correct
31 Correct 454 ms 50464 KB Output is correct
32 Correct 1 ms 204 KB Output is correct
33 Correct 0 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 0 ms 204 KB Output is correct
37 Correct 1 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 1 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 3 ms 716 KB Output is correct
44 Correct 3 ms 972 KB Output is correct
45 Correct 192 ms 26996 KB Output is correct
46 Correct 308 ms 39068 KB Output is correct
47 Correct 298 ms 39064 KB Output is correct
48 Correct 0 ms 204 KB Output is correct
49 Correct 0 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 1 ms 204 KB Output is correct
54 Correct 0 ms 204 KB Output is correct
55 Correct 461 ms 48356 KB Output is correct
56 Correct 1 ms 224 KB Output is correct
57 Correct 3 ms 716 KB Output is correct
58 Correct 10 ms 1860 KB Output is correct
59 Correct 12 ms 2264 KB Output is correct
60 Correct 197 ms 24424 KB Output is correct
61 Correct 289 ms 32808 KB Output is correct
62 Correct 365 ms 39980 KB Output is correct
63 Correct 469 ms 48408 KB Output is correct
64 Correct 0 ms 204 KB Output is correct
65 Correct 0 ms 284 KB Output is correct
66 Correct 0 ms 204 KB Output is correct
67 Correct 433 ms 56704 KB Output is correct
68 Correct 437 ms 56720 KB Output is correct
69 Correct 481 ms 56476 KB Output is correct
70 Correct 5 ms 1100 KB Output is correct
71 Correct 9 ms 2036 KB Output is correct
72 Correct 231 ms 26776 KB Output is correct
73 Correct 345 ms 39944 KB Output is correct
74 Correct 458 ms 53260 KB Output is correct
75 Correct 479 ms 51784 KB Output is correct
76 Correct 495 ms 56748 KB Output is correct
77 Correct 6 ms 1356 KB Output is correct
78 Correct 11 ms 2168 KB Output is correct
79 Correct 199 ms 26540 KB Output is correct
80 Correct 323 ms 39576 KB Output is correct
81 Correct 456 ms 52636 KB Output is correct
82 Incorrect 1 ms 204 KB Solution announced impossible, but it is possible.
83 Halted 0 ms 0 KB -