Submission #970521

# Submission time Handle Problem Language Result Execution time Memory
970521 2024-04-26T16:21:42 Z kilkuwu Fireworks (APIO16_fireworks) C++17
100 / 100
135 ms 44868 KB
#include <bits/stdc++.h>

#define nl '\n'

#ifdef LOCAL
#include "template/debug.hpp"
#else
#define dbg(...) ;
#define timer(...) ;
#endif

signed main() {
  std::ios::sync_with_stdio(false);
  std::cin.tie(nullptr);
  
  int n, m;
  std::cin >> n >> m;
  std::vector<int> P(n + m), C(n + m);
  for (int i = 1; i < n + m; i++) {
    std::cin >> P[i] >> C[i];
    --P[i];
  }

  // we do dfs now 
  // f(x) is the minimum value to get 
  std::vector<int64_t> a(n + m), b(n + m);
  std::vector<std::priority_queue<int64_t>> dp(n + m);

  auto merge = [&](int i, int j) {
    a[i] += a[j];
    b[i] += b[j];
    if (dp[i].size() < dp[j].size()) {
      std::swap(dp[i], dp[j]);
    }
    while (dp[j].size()) {
      dp[i].push(dp[j].top());
      dp[j].pop();
    }
  };

  for (int i = n + m - 1; i >= n; i--) {
    a[i] = 1;
    b[i] = -C[i];
    dp[i].push(C[i]);
    dp[i].push(C[i]);
    merge(P[i], i);
  }
  dbg("done peasants");

  auto pop_right = [&](int i) -> int64_t {
    int64_t popped = dp[i].top();
    int64_t v = a[i] * popped + b[i];
    --a[i];
    b[i] = v - a[i] * popped;
    dp[i].pop();
    return popped;
  };

  auto insert_right = [&](int i, int64_t p) -> void {
    int64_t v = a[i] * p + b[i];
    a[i]++;
    b[i] = v - a[i] * p;
    dp[i].push(p);
  };

  for (int i = n - 1; i > 0; i--) {
    while (a[i] > 1) {
      pop_right(i);
    }
    auto t1 = pop_right(i) + C[i];
    auto t0 = pop_right(i) + C[i]; 
    insert_right(i, t0);
    insert_right(i, t1);
    b[i] += C[i];
    merge(P[i], i);
  }

  while (a[0] > 0) {
    pop_right(0);
  }

  std::cout << a[0] * dp[0].top() + b[0] << nl;
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 456 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 0 ms 348 KB Output is correct
6 Correct 1 ms 460 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 348 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 0 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 1 ms 344 KB Output is correct
14 Correct 1 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 0 ms 348 KB Output is correct
17 Correct 1 ms 344 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 1 ms 352 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 456 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 1 ms 352 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 352 KB Output is correct
32 Correct 1 ms 620 KB Output is correct
33 Correct 1 ms 616 KB Output is correct
34 Correct 1 ms 608 KB Output is correct
35 Correct 1 ms 604 KB Output is correct
36 Correct 2 ms 864 KB Output is correct
37 Correct 2 ms 860 KB Output is correct
38 Correct 2 ms 860 KB Output is correct
39 Correct 2 ms 860 KB Output is correct
40 Correct 1 ms 604 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 1 ms 608 KB Output is correct
43 Correct 2 ms 868 KB Output is correct
44 Correct 2 ms 852 KB Output is correct
45 Correct 2 ms 952 KB Output is correct
46 Correct 2 ms 1116 KB Output is correct
47 Correct 2 ms 1176 KB Output is correct
48 Correct 2 ms 836 KB Output is correct
49 Correct 2 ms 1116 KB Output is correct
50 Correct 2 ms 720 KB Output is correct
51 Correct 2 ms 860 KB Output is correct
52 Correct 2 ms 860 KB Output is correct
53 Correct 2 ms 860 KB Output is correct
54 Correct 2 ms 1072 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 0 ms 348 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 0 ms 348 KB Output is correct
5 Correct 1 ms 348 KB Output is correct
6 Correct 0 ms 348 KB Output is correct
7 Correct 0 ms 348 KB Output is correct
8 Correct 0 ms 348 KB Output is correct
9 Correct 0 ms 456 KB Output is correct
10 Correct 0 ms 348 KB Output is correct
11 Correct 1 ms 348 KB Output is correct
12 Correct 0 ms 348 KB Output is correct
13 Correct 0 ms 348 KB Output is correct
14 Correct 0 ms 348 KB Output is correct
15 Correct 0 ms 348 KB Output is correct
16 Correct 1 ms 460 KB Output is correct
17 Correct 0 ms 348 KB Output is correct
18 Correct 0 ms 348 KB Output is correct
19 Correct 0 ms 348 KB Output is correct
20 Correct 0 ms 348 KB Output is correct
21 Correct 0 ms 348 KB Output is correct
22 Correct 0 ms 348 KB Output is correct
23 Correct 1 ms 344 KB Output is correct
24 Correct 1 ms 348 KB Output is correct
25 Correct 0 ms 348 KB Output is correct
26 Correct 0 ms 348 KB Output is correct
27 Correct 1 ms 344 KB Output is correct
28 Correct 0 ms 348 KB Output is correct
29 Correct 1 ms 352 KB Output is correct
30 Correct 1 ms 348 KB Output is correct
31 Correct 1 ms 352 KB Output is correct
32 Correct 1 ms 620 KB Output is correct
33 Correct 1 ms 616 KB Output is correct
34 Correct 1 ms 608 KB Output is correct
35 Correct 1 ms 604 KB Output is correct
36 Correct 2 ms 864 KB Output is correct
37 Correct 2 ms 860 KB Output is correct
38 Correct 2 ms 860 KB Output is correct
39 Correct 2 ms 860 KB Output is correct
40 Correct 1 ms 604 KB Output is correct
41 Correct 1 ms 604 KB Output is correct
42 Correct 1 ms 608 KB Output is correct
43 Correct 2 ms 868 KB Output is correct
44 Correct 2 ms 852 KB Output is correct
45 Correct 2 ms 952 KB Output is correct
46 Correct 2 ms 1116 KB Output is correct
47 Correct 2 ms 1176 KB Output is correct
48 Correct 2 ms 836 KB Output is correct
49 Correct 2 ms 1116 KB Output is correct
50 Correct 2 ms 720 KB Output is correct
51 Correct 2 ms 860 KB Output is correct
52 Correct 2 ms 860 KB Output is correct
53 Correct 2 ms 860 KB Output is correct
54 Correct 2 ms 1072 KB Output is correct
55 Correct 5 ms 1628 KB Output is correct
56 Correct 16 ms 5720 KB Output is correct
57 Correct 27 ms 9420 KB Output is correct
58 Correct 36 ms 12020 KB Output is correct
59 Correct 47 ms 15616 KB Output is correct
60 Correct 61 ms 19404 KB Output is correct
61 Correct 71 ms 22448 KB Output is correct
62 Correct 78 ms 24516 KB Output is correct
63 Correct 101 ms 28988 KB Output is correct
64 Correct 99 ms 30496 KB Output is correct
65 Correct 51 ms 21588 KB Output is correct
66 Correct 56 ms 21756 KB Output is correct
67 Correct 49 ms 21720 KB Output is correct
68 Correct 112 ms 28412 KB Output is correct
69 Correct 102 ms 29092 KB Output is correct
70 Correct 97 ms 28892 KB Output is correct
71 Correct 135 ms 44868 KB Output is correct
72 Correct 131 ms 44064 KB Output is correct
73 Correct 113 ms 40488 KB Output is correct
74 Correct 119 ms 42152 KB Output is correct
75 Correct 118 ms 40396 KB Output is correct
76 Correct 123 ms 40128 KB Output is correct
77 Correct 123 ms 39280 KB Output is correct
78 Correct 130 ms 38560 KB Output is correct
79 Correct 105 ms 37520 KB Output is correct