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Submission #530002

# Submission time Handle Problem Language Result Execution time Memory
530002 2022-02-24T11:11:02 Z Alex_tz307 Toll (BOI17_toll) C++17
100 / 100
 113 ms 79572 KB 
#include <bits/stdc++.h>
#define INF 0x3f3f3f3f

using namespace std;

const int kN = 5e4;
const int kLog = 15;
const int kK = 5;
int res[kK][kK], ret[kK][kK], dp[kN][1 + kLog][kK][kK];

void minSelf(int &x, int y) {
  if (y < x) {
    x = y;
  }
}

void combine(int n, int a[kK][kK], int b[kK][kK], int c[kK][kK]) {
  for (int i = 0; i < n; ++i) {
    for (int j = 0; j < n; ++j) {
      for (int k = 0; k < n; ++k) {
        minSelf(a[i][j], b[i][k] + c[k][j]);
      }
    }
  }
}

void testCase() {
  int k, n, m, q;
  cin >> k >> n >> m >> q;
  for (int i = 0; i <= (n - 1) / k; ++i) {
    for (int j = 0; (1 << j) <= (n - 1) / k; ++j) {
      for (int a = 0; a < k; ++a) {
        for (int b = 0; b < k; ++b) {
          dp[i][j][a][b] = INF;
        }
      }
    }
  }
  for (int i = 0; i < m; ++i) {
    int a, b, t;
    cin >> a >> b >> t;
    dp[a / k][0][a % k][b % k] = t;
  }
  for (int j = 1; (1 << j) <= (n - 1) / k; ++j) {
    for (int i = 0; i + (1 << j) - 1 <= (n - 1) / k; ++i) {
      combine(k, dp[i][j], dp[i][j - 1], dp[i + (1 << (j - 1))][j - 1]);
    }
  }
  for (int qq = 0; qq < q; ++qq) {
    int a, b;
    cin >> a >> b;
    for (int i = 0; i < k; ++i) {
      for (int j = 0; j < k; ++j) {
        if (i == j) {
          res[i][i] = 0;
        } else {
          res[i][j] = INF;
        }
      }
    }
    int s = a / k, t = b / k;
    for (int i = kLog; i >= 0; --i) {
      if (s + (1 << i) <= t) {
        for (int l = 0; l < k; ++l) {
          for (int c = 0; c < k; ++c) {
            ret[l][c] = res[l][c];
            res[l][c] = INF;
          }
        }
        combine(k, res, ret, dp[s][i]);
        s += (1 << i);
      }
    }
    if (res[a % k][b % k] == INF) {
      cout << "-1\n";
    } else {
      cout << res[a % k][b % k] << '\n';
    }
  }
}

int main() {
  ios_base::sync_with_stdio(false);
  cin.tie(nullptr);
  int tests = 1;
  for (int tc = 0; tc < tests; ++tc) {
    testCase();
  }
  return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 69 ms 79428 KB Output is correct
2 Correct 0 ms 328 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 2 ms 1868 KB Output is correct
6 Correct 2 ms 1868 KB Output is correct
7 Correct 2 ms 1868 KB Output is correct
8 Correct 67 ms 79416 KB Output is correct
9 Correct 65 ms 79428 KB Output is correct
10 Correct 49 ms 78724 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 69 ms 41044 KB Output is correct
2 Correct 0 ms 332 KB Output is correct
3 Correct 0 ms 204 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 324 KB Output is correct
7 Correct 4 ms 1868 KB Output is correct
8 Correct 5 ms 1188 KB Output is correct
9 Correct 65 ms 79456 KB Output is correct
10 Correct 86 ms 28688 KB Output is correct
11 Correct 83 ms 41156 KB Output is correct
12 Correct 70 ms 27796 KB Output is correct
13 Correct 64 ms 12100 KB Output is correct
14 Correct 41 ms 17356 KB Output is correct
15 Correct 47 ms 10820 KB Output is correct
16 Correct 47 ms 10840 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 1868 KB Output is correct
7 Correct 1 ms 1100 KB Output is correct
8 Correct 3 ms 588 KB Output is correct
9 Correct 2 ms 588 KB Output is correct
10 Correct 60 ms 79244 KB Output is correct
11 Correct 61 ms 40960 KB Output is correct
12 Correct 71 ms 28492 KB Output is correct
13 Correct 80 ms 28748 KB Output is correct
14 Correct 80 ms 28176 KB Output is correct
15 Correct 45 ms 10936 KB Output is correct
16 Correct 43 ms 10880 KB Output is correct

Subtask #4
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 332 KB Output is correct
2 Correct 1 ms 204 KB Output is correct
3 Correct 1 ms 204 KB Output is correct
4 Correct 0 ms 204 KB Output is correct
5 Correct 1 ms 204 KB Output is correct
6 Correct 1 ms 1868 KB Output is correct
7 Correct 1 ms 1100 KB Output is correct
8 Correct 3 ms 588 KB Output is correct
9 Correct 2 ms 588 KB Output is correct
10 Correct 60 ms 79244 KB Output is correct
11 Correct 61 ms 40960 KB Output is correct
12 Correct 71 ms 28492 KB Output is correct
13 Correct 80 ms 28748 KB Output is correct
14 Correct 80 ms 28176 KB Output is correct
15 Correct 45 ms 10936 KB Output is correct
16 Correct 43 ms 10880 KB Output is correct
17 Correct 68 ms 41008 KB Output is correct
18 Correct 1 ms 332 KB Output is correct
19 Correct 0 ms 332 KB Output is correct
20 Correct 1 ms 332 KB Output is correct
21 Correct 0 ms 204 KB Output is correct
22 Correct 1 ms 204 KB Output is correct
23 Correct 4 ms 1872 KB Output is correct
24 Correct 3 ms 1152 KB Output is correct
25 Correct 5 ms 716 KB Output is correct
26 Correct 4 ms 720 KB Output is correct
27 Correct 66 ms 79572 KB Output is correct
28 Correct 73 ms 28616 KB Output is correct
29 Correct 77 ms 28840 KB Output is correct
30 Correct 68 ms 28180 KB Output is correct

Subtask #5
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 69 ms 79428 KB Output is correct
2 Correct 0 ms 328 KB Output is correct
3 Correct 0 ms 332 KB Output is correct
4 Correct 1 ms 332 KB Output is correct
5 Correct 2 ms 1868 KB Output is correct
6 Correct 2 ms 1868 KB Output is correct
7 Correct 2 ms 1868 KB Output is correct
8 Correct 67 ms 79416 KB Output is correct
9 Correct 65 ms 79428 KB Output is correct
10 Correct 49 ms 78724 KB Output is correct
11 Correct 69 ms 41044 KB Output is correct
12 Correct 0 ms 332 KB Output is correct
13 Correct 0 ms 204 KB Output is correct
14 Correct 1 ms 332 KB Output is correct
15 Correct 1 ms 204 KB Output is correct
16 Correct 1 ms 324 KB Output is correct
17 Correct 4 ms 1868 KB Output is correct
18 Correct 5 ms 1188 KB Output is correct
19 Correct 65 ms 79456 KB Output is correct
20 Correct 86 ms 28688 KB Output is correct
21 Correct 83 ms 41156 KB Output is correct
22 Correct 70 ms 27796 KB Output is correct
23 Correct 64 ms 12100 KB Output is correct
24 Correct 41 ms 17356 KB Output is correct
25 Correct 47 ms 10820 KB Output is correct
26 Correct 47 ms 10840 KB Output is correct
27 Correct 0 ms 332 KB Output is correct
28 Correct 1 ms 204 KB Output is correct
29 Correct 1 ms 204 KB Output is correct
30 Correct 0 ms 204 KB Output is correct
31 Correct 1 ms 204 KB Output is correct
32 Correct 1 ms 1868 KB Output is correct
33 Correct 1 ms 1100 KB Output is correct
34 Correct 3 ms 588 KB Output is correct
35 Correct 2 ms 588 KB Output is correct
36 Correct 60 ms 79244 KB Output is correct
37 Correct 61 ms 40960 KB Output is correct
38 Correct 71 ms 28492 KB Output is correct
39 Correct 80 ms 28748 KB Output is correct
40 Correct 80 ms 28176 KB Output is correct
41 Correct 45 ms 10936 KB Output is correct
42 Correct 43 ms 10880 KB Output is correct
43 Correct 68 ms 41008 KB Output is correct
44 Correct 1 ms 332 KB Output is correct
45 Correct 0 ms 332 KB Output is correct
46 Correct 1 ms 332 KB Output is correct
47 Correct 0 ms 204 KB Output is correct
48 Correct 1 ms 204 KB Output is correct
49 Correct 4 ms 1872 KB Output is correct
50 Correct 3 ms 1152 KB Output is correct
51 Correct 5 ms 716 KB Output is correct
52 Correct 4 ms 720 KB Output is correct
53 Correct 66 ms 79572 KB Output is correct
54 Correct 73 ms 28616 KB Output is correct
55 Correct 77 ms 28840 KB Output is correct
56 Correct 68 ms 28180 KB Output is correct
57 Correct 113 ms 23184 KB Output is correct
58 Correct 81 ms 79456 KB Output is correct
59 Correct 78 ms 41212 KB Output is correct