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Submission #1092904

# Submission time Handle Problem Language Result Execution time Memory
1092904 2024-09-25T10:35:45 Z juicy Toll (BOI17_toll) C++17
100 / 100
 241 ms 105784 KB 
#include <bits/stdc++.h>

using namespace std;

#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif

const int N = 5e4, B = 100, inf = 1e9;

int k, n, m, o;
int d[N][500], blk[N], lt[500], rt[500], nxt[N];
vector<array<int, 2>> g[N];

int qry(vector<array<int, 2>> a, int b) {
  int id = blk[a[0][0]];
  if (id == blk[b]) {
    int res = inf;
    b -= lt[id];
    for (auto [u, c] : a) {
      if (d[u][b] < inf) {
        res = min(res, c + d[u][b]);
      }
    }
    return res == inf ? -1 : res;
  }
  fill(nxt + rt[id] + 1, nxt + rt[id] + 1 + k, inf);
  for (int i = rt[id] - k + 1; i <= rt[id]; ++i) {
    int k = i - lt[id], cur = inf;
    for (auto [u, c] : a) {
      if (d[u][k] < inf) {
        cur = min(cur, c + d[u][k]);
      }
    }
    if (cur != inf) {
      for (auto [v, c] : g[i]) {
        nxt[v] = min(nxt[v], cur + c);
      }
    }
  }
  vector<array<int, 2>> nw;
  for (int i = rt[id] + 1; i <= rt[id] + k; ++i) {
    if (nxt[i] != inf) {
      nw.push_back({i, nxt[i]});
    }
  }
  return !nw.size() ? -1 : qry(nw, b);
}

int main() {
  ios::sync_with_stdio(false); cin.tie(nullptr);

  cin >> k >> n >> m >> o;
  for (int i = 0; i < n; ++i) {
    blk[i] = i / k / B;
    rt[blk[i]] = i;
  }
  for (int i = n - 1; ~i; --i) {
    lt[blk[i]] = i;
  }
  while (m--) {
    int a, b, c; cin >> a >> b >> c;
    g[a].push_back({b, c});
  }
  memset(d, 0x3f, sizeof(d));
  for (int i = 0; i < n; ++i) {
    int id = blk[i];
    d[i][i - lt[id]] = 0;
    for (int j = i; blk[j] == id; ++j) {
      int jj = j - lt[id];
      if (d[i][jj] < inf) {
        for (auto [k, w] : g[j]) {
          if (k <= rt[id]) {
            int kk = k - lt[id];
            d[i][kk] = min(d[i][kk], d[i][jj] + w);
          }
        }
      }
    }
  }
  while (o--) {
    int a, b; cin >> a >> b;
    cout << qry({{a, 0}}, b) << "\n";
  }
  return 0;
}

Subtask #1
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 181 ms 102480 KB Output is correct
2 Correct 47 ms 99412 KB Output is correct
3 Correct 49 ms 99416 KB Output is correct
4 Correct 49 ms 99360 KB Output is correct
5 Correct 47 ms 99468 KB Output is correct
6 Correct 50 ms 99356 KB Output is correct
7 Correct 48 ms 99412 KB Output is correct
8 Correct 76 ms 102228 KB Output is correct
9 Correct 71 ms 102072 KB Output is correct
10 Correct 55 ms 99920 KB Output is correct

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 173 ms 102736 KB Output is correct
2 Correct 45 ms 99408 KB Output is correct
3 Correct 44 ms 99412 KB Output is correct
4 Correct 43 ms 99408 KB Output is correct
5 Correct 45 ms 99408 KB Output is correct
6 Correct 47 ms 99408 KB Output is correct
7 Correct 42 ms 99420 KB Output is correct
8 Correct 47 ms 99544 KB Output is correct
9 Correct 70 ms 101968 KB Output is correct
10 Correct 240 ms 104540 KB Output is correct
11 Correct 212 ms 103064 KB Output is correct
12 Correct 89 ms 102212 KB Output is correct
13 Correct 174 ms 104720 KB Output is correct
14 Correct 138 ms 102740 KB Output is correct
15 Correct 123 ms 102232 KB Output is correct
16 Correct 114 ms 102092 KB Output is correct

Subtask #3
8.0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 47 ms 99412 KB Output is correct
2 Correct 53 ms 99412 KB Output is correct
3 Correct 50 ms 99412 KB Output is correct
4 Correct 48 ms 99412 KB Output is correct
5 Correct 45 ms 99408 KB Output is correct
6 Correct 47 ms 99476 KB Output is correct
7 Correct 45 ms 99408 KB Output is correct
8 Correct 51 ms 99636 KB Output is correct
9 Correct 50 ms 99376 KB Output is correct
10 Correct 73 ms 101968 KB Output is correct
11 Correct 107 ms 102964 KB Output is correct
12 Correct 138 ms 104276 KB Output is correct
13 Correct 139 ms 104780 KB Output is correct
14 Correct 115 ms 103600 KB Output is correct
15 Correct 103 ms 101972 KB Output is correct
16 Correct 100 ms 102112 KB Output is correct

Subtask #4
31.0 / 31.0

# Verdict Execution time Memory Grader output
1 Correct 47 ms 99412 KB Output is correct
2 Correct 53 ms 99412 KB Output is correct
3 Correct 50 ms 99412 KB Output is correct
4 Correct 48 ms 99412 KB Output is correct
5 Correct 45 ms 99408 KB Output is correct
6 Correct 47 ms 99476 KB Output is correct
7 Correct 45 ms 99408 KB Output is correct
8 Correct 51 ms 99636 KB Output is correct
9 Correct 50 ms 99376 KB Output is correct
10 Correct 73 ms 101968 KB Output is correct
11 Correct 107 ms 102964 KB Output is correct
12 Correct 138 ms 104276 KB Output is correct
13 Correct 139 ms 104780 KB Output is correct
14 Correct 115 ms 103600 KB Output is correct
15 Correct 103 ms 101972 KB Output is correct
16 Correct 100 ms 102112 KB Output is correct
17 Correct 118 ms 102992 KB Output is correct
18 Correct 45 ms 99408 KB Output is correct
19 Correct 45 ms 99400 KB Output is correct
20 Correct 56 ms 99412 KB Output is correct
21 Correct 47 ms 99340 KB Output is correct
22 Correct 44 ms 99260 KB Output is correct
23 Correct 49 ms 99408 KB Output is correct
24 Correct 51 ms 99508 KB Output is correct
25 Correct 50 ms 99616 KB Output is correct
26 Correct 46 ms 99444 KB Output is correct
27 Correct 76 ms 102228 KB Output is correct
28 Correct 152 ms 104520 KB Output is correct
29 Correct 173 ms 105040 KB Output is correct
30 Correct 129 ms 103772 KB Output is correct

Subtask #5
44.0 / 44.0

# Verdict Execution time Memory Grader output
1 Correct 181 ms 102480 KB Output is correct
2 Correct 47 ms 99412 KB Output is correct
3 Correct 49 ms 99416 KB Output is correct
4 Correct 49 ms 99360 KB Output is correct
5 Correct 47 ms 99468 KB Output is correct
6 Correct 50 ms 99356 KB Output is correct
7 Correct 48 ms 99412 KB Output is correct
8 Correct 76 ms 102228 KB Output is correct
9 Correct 71 ms 102072 KB Output is correct
10 Correct 55 ms 99920 KB Output is correct
11 Correct 173 ms 102736 KB Output is correct
12 Correct 45 ms 99408 KB Output is correct
13 Correct 44 ms 99412 KB Output is correct
14 Correct 43 ms 99408 KB Output is correct
15 Correct 45 ms 99408 KB Output is correct
16 Correct 47 ms 99408 KB Output is correct
17 Correct 42 ms 99420 KB Output is correct
18 Correct 47 ms 99544 KB Output is correct
19 Correct 70 ms 101968 KB Output is correct
20 Correct 240 ms 104540 KB Output is correct
21 Correct 212 ms 103064 KB Output is correct
22 Correct 89 ms 102212 KB Output is correct
23 Correct 174 ms 104720 KB Output is correct
24 Correct 138 ms 102740 KB Output is correct
25 Correct 123 ms 102232 KB Output is correct
26 Correct 114 ms 102092 KB Output is correct
27 Correct 47 ms 99412 KB Output is correct
28 Correct 53 ms 99412 KB Output is correct
29 Correct 50 ms 99412 KB Output is correct
30 Correct 48 ms 99412 KB Output is correct
31 Correct 45 ms 99408 KB Output is correct
32 Correct 47 ms 99476 KB Output is correct
33 Correct 45 ms 99408 KB Output is correct
34 Correct 51 ms 99636 KB Output is correct
35 Correct 50 ms 99376 KB Output is correct
36 Correct 73 ms 101968 KB Output is correct
37 Correct 107 ms 102964 KB Output is correct
38 Correct 138 ms 104276 KB Output is correct
39 Correct 139 ms 104780 KB Output is correct
40 Correct 115 ms 103600 KB Output is correct
41 Correct 103 ms 101972 KB Output is correct
42 Correct 100 ms 102112 KB Output is correct
43 Correct 118 ms 102992 KB Output is correct
44 Correct 45 ms 99408 KB Output is correct
45 Correct 45 ms 99400 KB Output is correct
46 Correct 56 ms 99412 KB Output is correct
47 Correct 47 ms 99340 KB Output is correct
48 Correct 44 ms 99260 KB Output is correct
49 Correct 49 ms 99408 KB Output is correct
50 Correct 51 ms 99508 KB Output is correct
51 Correct 50 ms 99616 KB Output is correct
52 Correct 46 ms 99444 KB Output is correct
53 Correct 76 ms 102228 KB Output is correct
54 Correct 152 ms 104520 KB Output is correct
55 Correct 173 ms 105040 KB Output is correct
56 Correct 129 ms 103772 KB Output is correct
57 Correct 241 ms 105784 KB Output is correct
58 Correct 78 ms 102224 KB Output is correct
59 Correct 174 ms 103272 KB Output is correct