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Submission #762845

# Submission time Handle Problem Language Result Execution time Memory
762845 2023-06-21T21:04:07 Z ThegeekKnight16 Toll (BOI17_toll) C++17
100 / 100
 257 ms 28716 KB 
#include <bits/stdc++.h>
using namespace std;
const int MAXN = 5e4 + 10;
const int INF = 0x3f3f3f3f;
array<vector<pair<int, int> >, MAXN> grafo;
int K, N, M, O;
struct node
{
    //Niveis do comeco e do fim, respectivamente
    int X, Y;
    array<array<int, 5>, 5> dist;

    node(int x = 0, int y = 0) : X(x), Y(y)
    {
        dist[0] = {0, INF, INF, INF, INF};
        dist[1] = {INF, 0, INF, INF, INF};
        dist[2] = {INF, INF, 0, INF, INF};
        dist[3] = {INF, INF, INF, 0, INF};
        dist[4] = {INF, INF, INF, INF, 0};
    }

    //O(K⁴) ≃ 625
    node operator+(node outro) const
    {
        if (X == -1) return outro;
        if (outro.X == -1) return *this;
        node resp;
        // cerr << X << " " << Y << " " << outro.X << " " << outro.Y << '\n';
        //Novo X
        for (int k = 0; k < K; k++)
        {
            //Novo Y
            for (int k2 = 0; k2 < K; k2++)
            {
                resp.dist[k][k2] = INF;
                //Intermediario da esquerda (final)
                for (int i = 0, v = Y*K; i < K; i++, v++)
                {
                    //Intermediario da direira (comeco)
                    for (auto [viz, p] : grafo[v])
                    {
                        // cerr << k << " " << i << " " << viz << " " << k2 << '\n';
                        //       k -> k2 =                           k -> v ---------> viz -> k2
                        resp.dist[k][k2] = min(resp.dist[k][k2], dist[k][i] + p + outro.dist[viz%K][k2]);
                    }
                }
            }
        }
        resp.X = X; resp.Y = outro.Y;
        /*for (int i = 0; i < K; i++)
        {
            for (int j = 0; j < K; j++)
            {
                cerr << (resp.dist[i][j] == INF ? -1 : resp.dist[i][j]) << " ";
            }
            cerr << '\n';
        }*/
        // cerr << '\n';
        return resp;
    }
} seg[4*MAXN];
node nulo(-1, -1);

//O(4*N*K⁴) ≃ 1.25e8
void build(int pos, int ini, int fim)
{
    if (ini == fim)
    {
        seg[pos] = node(ini, ini);
        return;
    }
    int m = (ini + fim) >> 1;
    int e = 2*pos; int d = 2*pos + 1;
    build(e, ini,  m );
    build(d, m+1, fim);
    seg[pos] = seg[e] + seg[d];
    // cerr << "Soma funciona!" << '\n';
}

//O(logN*K⁴) ≃ 1e4 p/ query
node query(int pos, int ini, int fim, int p, int q)
{
    if (q < ini || p > fim) return nulo;
    if (p <= ini && fim <= q) return seg[pos];
    int m = (ini + fim) >> 1;
    int e = 2*pos; int d = 2*pos + 1;
    return query(e, ini, m, p, q) + query(d, m+1, fim, p, q);
}

int main()
{
    ios_base::sync_with_stdio(false);
    cin.tie(NULL);
    cin >> K >> N >> M >> O;
    // cerr << "PENIS" << '\n';
    for (int i = 0; i < M; i++)
    {
        int X, Y, P;
        cin >> X >> Y >> P;
        grafo[X].emplace_back(Y, P);
    }
    // cerr << "PENIS" << '\n';
    build(1, 0, N/K);
    // cerr << "PENIS" << '\n';
    for (int i = 0; i < O; i++)
    {
        int X, Y;
        cin >> X >> Y;
        if (X/K >= Y/K) {cout << "-1" << '\n'; continue;}
        // cerr << "||" << X << " " << X/K << " " << Y << " " << Y/K << '\n';
        node resp = query(1, 0, N/K, X/K, Y/K);
        /*for (int i = 0; i < K; i++)
        {
            for (int j = 0; j < K; j++)
            {
                cerr << (resp.dist[i][j] == INF ? -1 : resp.dist[i][j]) << " ";
            }
            cerr << '\n';
        }*/
        cout << (resp.dist[X%K][Y%K] == INF ? -1 : resp.dist[X%K][Y%K]) << '\n';
    }
    // cerr << "PENIS" << '\n';
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 25192 KB Output is correct
2 Correct 10 ms 22628 KB Output is correct
3 Correct 10 ms 22636 KB Output is correct
4 Correct 10 ms 22636 KB Output is correct
5 Correct 10 ms 22640 KB Output is correct
6 Correct 11 ms 22644 KB Output is correct
7 Correct 11 ms 22692 KB Output is correct
8 Correct 37 ms 25136 KB Output is correct
9 Correct 37 ms 24980 KB Output is correct
10 Correct 23 ms 22756 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 47 ms 25828 KB Output is correct
2 Correct 10 ms 22608 KB Output is correct
3 Correct 10 ms 22632 KB Output is correct
4 Correct 10 ms 22588 KB Output is correct
5 Correct 12 ms 22612 KB Output is correct
6 Correct 10 ms 22632 KB Output is correct
7 Correct 14 ms 22644 KB Output is correct
8 Correct 16 ms 22756 KB Output is correct
9 Correct 32 ms 25072 KB Output is correct
10 Correct 84 ms 27348 KB Output is correct
11 Correct 52 ms 25948 KB Output is correct
12 Correct 59 ms 25384 KB Output is correct
13 Correct 135 ms 27828 KB Output is correct
14 Correct 48 ms 25676 KB Output is correct
15 Correct 69 ms 25140 KB Output is correct
16 Correct 70 ms 25140 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 22612 KB Output is correct
2 Correct 9 ms 22636 KB Output is correct
3 Correct 9 ms 22612 KB Output is correct
4 Correct 10 ms 22524 KB Output is correct
5 Correct 10 ms 22628 KB Output is correct
6 Correct 10 ms 22612 KB Output is correct
7 Correct 13 ms 22612 KB Output is correct
8 Correct 15 ms 22740 KB Output is correct
9 Correct 14 ms 22652 KB Output is correct
10 Correct 31 ms 24988 KB Output is correct
11 Correct 35 ms 25636 KB Output is correct
12 Correct 52 ms 27200 KB Output is correct
13 Correct 55 ms 27692 KB Output is correct
14 Correct 44 ms 26392 KB Output is correct
15 Correct 42 ms 25004 KB Output is correct
16 Correct 41 ms 25100 KB Output is correct

Subtask #4
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 10 ms 22612 KB Output is correct
2 Correct 9 ms 22636 KB Output is correct
3 Correct 9 ms 22612 KB Output is correct
4 Correct 10 ms 22524 KB Output is correct
5 Correct 10 ms 22628 KB Output is correct
6 Correct 10 ms 22612 KB Output is correct
7 Correct 13 ms 22612 KB Output is correct
8 Correct 15 ms 22740 KB Output is correct
9 Correct 14 ms 22652 KB Output is correct
10 Correct 31 ms 24988 KB Output is correct
11 Correct 35 ms 25636 KB Output is correct
12 Correct 52 ms 27200 KB Output is correct
13 Correct 55 ms 27692 KB Output is correct
14 Correct 44 ms 26392 KB Output is correct
15 Correct 42 ms 25004 KB Output is correct
16 Correct 41 ms 25100 KB Output is correct
17 Correct 41 ms 25676 KB Output is correct
18 Correct 9 ms 22612 KB Output is correct
19 Correct 11 ms 22748 KB Output is correct
20 Correct 10 ms 22640 KB Output is correct
21 Correct 10 ms 22636 KB Output is correct
22 Correct 10 ms 22648 KB Output is correct
23 Correct 12 ms 22680 KB Output is correct
24 Correct 14 ms 22740 KB Output is correct
25 Correct 52 ms 22780 KB Output is correct
26 Correct 30 ms 22764 KB Output is correct
27 Correct 28 ms 25032 KB Output is correct
28 Correct 69 ms 27212 KB Output is correct
29 Correct 82 ms 27828 KB Output is correct
30 Correct 59 ms 26532 KB Output is correct

Subtask #5
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 37 ms 25192 KB Output is correct
2 Correct 10 ms 22628 KB Output is correct
3 Correct 10 ms 22636 KB Output is correct
4 Correct 10 ms 22636 KB Output is correct
5 Correct 10 ms 22640 KB Output is correct
6 Correct 11 ms 22644 KB Output is correct
7 Correct 11 ms 22692 KB Output is correct
8 Correct 37 ms 25136 KB Output is correct
9 Correct 37 ms 24980 KB Output is correct
10 Correct 23 ms 22756 KB Output is correct
11 Correct 47 ms 25828 KB Output is correct
12 Correct 10 ms 22608 KB Output is correct
13 Correct 10 ms 22632 KB Output is correct
14 Correct 10 ms 22588 KB Output is correct
15 Correct 12 ms 22612 KB Output is correct
16 Correct 10 ms 22632 KB Output is correct
17 Correct 14 ms 22644 KB Output is correct
18 Correct 16 ms 22756 KB Output is correct
19 Correct 32 ms 25072 KB Output is correct
20 Correct 84 ms 27348 KB Output is correct
21 Correct 52 ms 25948 KB Output is correct
22 Correct 59 ms 25384 KB Output is correct
23 Correct 135 ms 27828 KB Output is correct
24 Correct 48 ms 25676 KB Output is correct
25 Correct 69 ms 25140 KB Output is correct
26 Correct 70 ms 25140 KB Output is correct
27 Correct 10 ms 22612 KB Output is correct
28 Correct 9 ms 22636 KB Output is correct
29 Correct 9 ms 22612 KB Output is correct
30 Correct 10 ms 22524 KB Output is correct
31 Correct 10 ms 22628 KB Output is correct
32 Correct 10 ms 22612 KB Output is correct
33 Correct 13 ms 22612 KB Output is correct
34 Correct 15 ms 22740 KB Output is correct
35 Correct 14 ms 22652 KB Output is correct
36 Correct 31 ms 24988 KB Output is correct
37 Correct 35 ms 25636 KB Output is correct
38 Correct 52 ms 27200 KB Output is correct
39 Correct 55 ms 27692 KB Output is correct
40 Correct 44 ms 26392 KB Output is correct
41 Correct 42 ms 25004 KB Output is correct
42 Correct 41 ms 25100 KB Output is correct
43 Correct 41 ms 25676 KB Output is correct
44 Correct 9 ms 22612 KB Output is correct
45 Correct 11 ms 22748 KB Output is correct
46 Correct 10 ms 22640 KB Output is correct
47 Correct 10 ms 22636 KB Output is correct
48 Correct 10 ms 22648 KB Output is correct
49 Correct 12 ms 22680 KB Output is correct
50 Correct 14 ms 22740 KB Output is correct
51 Correct 52 ms 22780 KB Output is correct
52 Correct 30 ms 22764 KB Output is correct
53 Correct 28 ms 25032 KB Output is correct
54 Correct 69 ms 27212 KB Output is correct
55 Correct 82 ms 27828 KB Output is correct
56 Correct 59 ms 26532 KB Output is correct
57 Correct 257 ms 28716 KB Output is correct
58 Correct 36 ms 25100 KB Output is correct
59 Correct 64 ms 25928 KB Output is correct