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Submission #284323

# Submission time Handle Problem Language Result Execution time Memory
284323 2020-08-27T08:39:46 Z AlexLuchianov Toll (BOI17_toll) C++14
100 / 100
 119 ms 25732 KB 
#include <iostream>
#include <vector>
#include <algorithm>
#include <cassert>
#include <cmath>

using ll = long long;
#define MIN(a, b) (((a) < (b)) ? (a) : (b))
#define MAX(a, b) (((a) < (b)) ? (b) : (a))

int const sigma = 5;
int const inf = 1000000000;

struct Matrix {
  int dp[sigma][sigma];
  Matrix() {
    for(int i = 0; i < sigma; i++)
      for(int j = 0; j < sigma; j++)
        dp[i][j] = inf;
  }
  Matrix operator * (Matrix a) {
    Matrix result;
    for(int i = 0; i < sigma; i++)
      for(int j = 0; j < sigma; j++)
        for(int h = 0; h < sigma; h++) 
          result.dp[i][j] = std::min(result.dp[i][j], dp[i][h] + a.dp[h][j]);
    return result;
  }
};

class SegmentTree{
private:
  std::vector<Matrix> aint;
public:
  SegmentTree(int n) {
    aint.resize(1 + 4 * n);
  }
  void build(int node, int from, int to, std::vector<Matrix> &aux) {
    if(from < to) {
      int mid = (from + to) / 2;
      build(node * 2, from, mid, aux);
      build(node * 2 + 1, mid + 1, to, aux);
      aint[node] = aint[node * 2] * aint[node * 2 + 1];
    } else
      aint[node] = aux[from];
  }
  Matrix query(int node, int from, int to, int x, int y) {
    if(from == x && to == y)
      return aint[node];
    else {
      int mid = (from + to) / 2;
      if(x <= mid && y <= mid)
        return query(node * 2, from, mid, x, y);
      else if(mid + 1 <= x && mid + 1 <= y)
        return query(node * 2 + 1, mid + 1, to, x, y);
      else
        return query(node *2 , from, mid, x, mid) * query(node * 2 +1 , mid + 1, to, mid + 1, y);
    }
  }
};

int main() {
  std::ios::sync_with_stdio(0);
  std::cin.tie(0);

  int k, n, m, q;
  std::cin >> k >> n >> m >> q;
  
  std::vector<Matrix> aux(n / k);
  for(int i = 1;i <= m; i++) {
    int x, y, cost;
    std::cin >> x >> y >> cost;
    aux[x / k].dp[x % k][y % k] = cost;
  }
  SegmentTree aint(n);
  aint.build(1, 0, n / k - 1, aux);
  for(int i = 1;i <= q; i++) {
    int x, y;
    std::cin >> x >> y;
    if(x / k == y / k)
      std::cout << -1 << '\n';
    else {
      Matrix ext = aint.query(1, 0, n / k - 1, x/ k, y / k - 1);
      int result = ext.dp[x % k][y % k];
      if(result == inf)
        std::cout << -1 << '\n';
      else
        std::cout << result << '\n';
       
    }
  }
  return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 24952 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 3 ms 896 KB Output is correct
6 Correct 3 ms 768 KB Output is correct
7 Correct 3 ms 896 KB Output is correct
8 Correct 80 ms 24824 KB Output is correct
9 Correct 77 ms 24824 KB Output is correct
10 Correct 60 ms 24872 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 88 ms 22520 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 1 ms 384 KB Output is correct
6 Correct 0 ms 384 KB Output is correct
7 Correct 12 ms 896 KB Output is correct
8 Correct 12 ms 896 KB Output is correct
9 Correct 82 ms 25720 KB Output is correct
10 Correct 83 ms 23908 KB Output is correct
11 Correct 79 ms 24184 KB Output is correct
12 Correct 66 ms 22904 KB Output is correct
13 Correct 65 ms 15096 KB Output is correct
14 Correct 41 ms 14584 KB Output is correct
15 Correct 36 ms 13952 KB Output is correct
16 Correct 35 ms 13952 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 2 ms 896 KB Output is correct
7 Correct 2 ms 768 KB Output is correct
8 Correct 2 ms 896 KB Output is correct
9 Correct 2 ms 768 KB Output is correct
10 Correct 47 ms 25592 KB Output is correct
11 Correct 52 ms 23928 KB Output is correct
12 Correct 73 ms 23672 KB Output is correct
13 Correct 67 ms 24024 KB Output is correct
14 Correct 61 ms 23416 KB Output is correct
15 Correct 34 ms 13820 KB Output is correct
16 Correct 33 ms 13912 KB Output is correct

Subtask #4
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 1 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 1 ms 384 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
6 Correct 2 ms 896 KB Output is correct
7 Correct 2 ms 768 KB Output is correct
8 Correct 2 ms 896 KB Output is correct
9 Correct 2 ms 768 KB Output is correct
10 Correct 47 ms 25592 KB Output is correct
11 Correct 52 ms 23928 KB Output is correct
12 Correct 73 ms 23672 KB Output is correct
13 Correct 67 ms 24024 KB Output is correct
14 Correct 61 ms 23416 KB Output is correct
15 Correct 34 ms 13820 KB Output is correct
16 Correct 33 ms 13912 KB Output is correct
17 Correct 65 ms 23932 KB Output is correct
18 Correct 1 ms 512 KB Output is correct
19 Correct 0 ms 384 KB Output is correct
20 Correct 1 ms 384 KB Output is correct
21 Correct 1 ms 384 KB Output is correct
22 Correct 0 ms 384 KB Output is correct
23 Correct 8 ms 896 KB Output is correct
24 Correct 8 ms 872 KB Output is correct
25 Correct 6 ms 896 KB Output is correct
26 Correct 8 ms 896 KB Output is correct
27 Correct 55 ms 25732 KB Output is correct
28 Correct 72 ms 23776 KB Output is correct
29 Correct 78 ms 24056 KB Output is correct
30 Correct 60 ms 23416 KB Output is correct

Subtask #5
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 24952 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 1 ms 384 KB Output is correct
4 Correct 0 ms 384 KB Output is correct
5 Correct 3 ms 896 KB Output is correct
6 Correct 3 ms 768 KB Output is correct
7 Correct 3 ms 896 KB Output is correct
8 Correct 80 ms 24824 KB Output is correct
9 Correct 77 ms 24824 KB Output is correct
10 Correct 60 ms 24872 KB Output is correct
11 Correct 88 ms 22520 KB Output is correct
12 Correct 0 ms 384 KB Output is correct
13 Correct 0 ms 384 KB Output is correct
14 Correct 0 ms 384 KB Output is correct
15 Correct 1 ms 384 KB Output is correct
16 Correct 0 ms 384 KB Output is correct
17 Correct 12 ms 896 KB Output is correct
18 Correct 12 ms 896 KB Output is correct
19 Correct 82 ms 25720 KB Output is correct
20 Correct 83 ms 23908 KB Output is correct
21 Correct 79 ms 24184 KB Output is correct
22 Correct 66 ms 22904 KB Output is correct
23 Correct 65 ms 15096 KB Output is correct
24 Correct 41 ms 14584 KB Output is correct
25 Correct 36 ms 13952 KB Output is correct
26 Correct 35 ms 13952 KB Output is correct
27 Correct 0 ms 384 KB Output is correct
28 Correct 1 ms 384 KB Output is correct
29 Correct 1 ms 384 KB Output is correct
30 Correct 1 ms 384 KB Output is correct
31 Correct 0 ms 384 KB Output is correct
32 Correct 2 ms 896 KB Output is correct
33 Correct 2 ms 768 KB Output is correct
34 Correct 2 ms 896 KB Output is correct
35 Correct 2 ms 768 KB Output is correct
36 Correct 47 ms 25592 KB Output is correct
37 Correct 52 ms 23928 KB Output is correct
38 Correct 73 ms 23672 KB Output is correct
39 Correct 67 ms 24024 KB Output is correct
40 Correct 61 ms 23416 KB Output is correct
41 Correct 34 ms 13820 KB Output is correct
42 Correct 33 ms 13912 KB Output is correct
43 Correct 65 ms 23932 KB Output is correct
44 Correct 1 ms 512 KB Output is correct
45 Correct 0 ms 384 KB Output is correct
46 Correct 1 ms 384 KB Output is correct
47 Correct 1 ms 384 KB Output is correct
48 Correct 0 ms 384 KB Output is correct
49 Correct 8 ms 896 KB Output is correct
50 Correct 8 ms 872 KB Output is correct
51 Correct 6 ms 896 KB Output is correct
52 Correct 8 ms 896 KB Output is correct
53 Correct 55 ms 25732 KB Output is correct
54 Correct 72 ms 23776 KB Output is correct
55 Correct 78 ms 24056 KB Output is correct
56 Correct 60 ms 23416 KB Output is correct
57 Correct 119 ms 24540 KB Output is correct
58 Correct 81 ms 25724 KB Output is correct
59 Correct 84 ms 24184 KB Output is correct