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Submission #627208

# Submission time Handle Problem Language Result Execution time Memory
627208 2022-08-12T11:20:34 Z model_code Digital Circuit (IOI22_circuit) C++17
22 / 100
 2500 ms 9036 KB 
// time_limit/solution-ayaze-dp.cpp
// O((N+M)^2 Q log (N + M))
#include "circuit.h"
#include <bits/stdc++.h>
using namespace std;

const int kMod = 1'000'002'022;

vector<pair<int, int>> dp;
vector<int> P;
vector<int> depth;
vector<vector<int>> children;
int N;

void calculate(int v) {
  if (v >= N) return;

  vector<int> temp_dp = {1};

  for (int chld : children[v]) {
    vector<int> next_dp(temp_dp.size()+1, 0);
    
    for (int i = 0 ; i < static_cast<int>(temp_dp.size()) ; i++) {
      next_dp[i] = (next_dp[i] + 1ll * temp_dp[i] * dp[chld].first) % kMod;
      next_dp[i+1] = (next_dp[i+1] + 1ll * temp_dp[i] * dp[chld].second) % kMod;
    }

    temp_dp = next_dp;
  }

  int chld_count = children[v].size();
  dp[v] = {0, 0};

  for (int i = 0 ; i < static_cast<int>(temp_dp.size()) ; i++) {
    dp[v].first = (dp[v].first + 1ll * (chld_count - i) * temp_dp[i]) % kMod;
    dp[v].second = (dp[v].second + 1ll * i * temp_dp[i]) % kMod;
  }
}

void init(int _N, int M, std::vector<int> _P, std::vector<int> A) {
  N = _N;
  P = _P;
  depth.resize(N+M);
  dp.resize(N+M);
  children.resize(N+M);

  for (int i = 1 ; i < static_cast<int>(P.size()) ; i++) {
    children[P[i]].push_back(i);
    depth[i] = 1 + depth[P[i]];
  }

  for (int i = N+M-1 ; i >= 0 ; i--) {
    if (i >= N) {
      dp[i] = {A[i-N] == 0, A[i-N] == 1};
    } else {
      calculate(i);
    }
  }
}

int count_ways(int L, int R) {
  set<pair<int, int>> st;
  for (int i = L ; i <= R ; i++) {
    swap(dp[i].first, dp[i].second);
    st.insert({depth[P[i]], P[i]});
  }

  while (!st.empty()) { // try to optimize, but this might be slower..
    pair<int, int> cur = *st.rbegin();
    st.erase(cur);

    int v = cur.second;
    calculate(v);
    if (v > 0) {
      st.insert({depth[P[v]], P[v]});
    }
  }
  return dp[0].second;
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 17 ms 464 KB Output is correct
4 Correct 21 ms 512 KB Output is correct
5 Correct 22 ms 504 KB Output is correct
6 Correct 16 ms 496 KB Output is correct
7 Correct 15 ms 512 KB Output is correct
8 Correct 15 ms 464 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 2 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 2 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 2 ms 336 KB Output is correct
8 Correct 2 ms 432 KB Output is correct
9 Correct 3 ms 344 KB Output is correct
10 Correct 3 ms 336 KB Output is correct
11 Correct 4 ms 464 KB Output is correct
12 Correct 2 ms 336 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 17 ms 464 KB Output is correct
4 Correct 21 ms 512 KB Output is correct
5 Correct 22 ms 504 KB Output is correct
6 Correct 16 ms 496 KB Output is correct
7 Correct 15 ms 512 KB Output is correct
8 Correct 15 ms 464 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 2 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 2 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 2 ms 336 KB Output is correct
16 Correct 2 ms 432 KB Output is correct
17 Correct 3 ms 344 KB Output is correct
18 Correct 3 ms 336 KB Output is correct
19 Correct 4 ms 464 KB Output is correct
20 Correct 2 ms 336 KB Output is correct
21 Correct 3 ms 416 KB Output is correct
22 Correct 2 ms 440 KB Output is correct
23 Correct 2 ms 384 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 2 ms 336 KB Output is correct
26 Correct 4 ms 336 KB Output is correct
27 Correct 3 ms 336 KB Output is correct
28 Correct 4 ms 336 KB Output is correct
29 Correct 19 ms 512 KB Output is correct
30 Correct 19 ms 468 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 3 ms 384 KB Output is correct
33 Correct 3 ms 340 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 4 ms 340 KB Output is correct
36 Correct 3 ms 384 KB Output is correct
37 Correct 16 ms 468 KB Output is correct
38 Correct 21 ms 512 KB Output is correct
39 Correct 2 ms 336 KB Output is correct
40 Correct 2 ms 356 KB Output is correct
41 Correct 2 ms 384 KB Output is correct
42 Correct 2 ms 368 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1251 ms 4648 KB Output is correct
2 Correct 1673 ms 9012 KB Output is correct
3 Correct 1502 ms 9036 KB Output is correct
4 Correct 1606 ms 9036 KB Output is correct

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 1251 ms 4648 KB Output is correct
2 Correct 1673 ms 9012 KB Output is correct
3 Correct 1502 ms 9036 KB Output is correct
4 Correct 1606 ms 9036 KB Output is correct
5 Execution timed out 3009 ms 5024 KB Time limit exceeded
6 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 1 ms 364 KB Output is correct
3 Correct 2 ms 336 KB Output is correct
4 Correct 1 ms 336 KB Output is correct
5 Correct 2 ms 336 KB Output is correct
6 Correct 1 ms 336 KB Output is correct
7 Correct 2 ms 336 KB Output is correct
8 Correct 2 ms 432 KB Output is correct
9 Correct 3 ms 344 KB Output is correct
10 Correct 3 ms 336 KB Output is correct
11 Correct 4 ms 464 KB Output is correct
12 Correct 2 ms 336 KB Output is correct
13 Correct 1251 ms 4648 KB Output is correct
14 Correct 1673 ms 9012 KB Output is correct
15 Correct 1502 ms 9036 KB Output is correct
16 Correct 1606 ms 9036 KB Output is correct
17 Execution timed out 3009 ms 5024 KB Time limit exceeded
18 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 17 ms 464 KB Output is correct
4 Correct 21 ms 512 KB Output is correct
5 Correct 22 ms 504 KB Output is correct
6 Correct 16 ms 496 KB Output is correct
7 Correct 15 ms 512 KB Output is correct
8 Correct 15 ms 464 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 2 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 2 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 2 ms 336 KB Output is correct
16 Correct 2 ms 432 KB Output is correct
17 Correct 3 ms 344 KB Output is correct
18 Correct 3 ms 336 KB Output is correct
19 Correct 4 ms 464 KB Output is correct
20 Correct 2 ms 336 KB Output is correct
21 Correct 3 ms 416 KB Output is correct
22 Correct 2 ms 440 KB Output is correct
23 Correct 2 ms 384 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 2 ms 336 KB Output is correct
26 Correct 4 ms 336 KB Output is correct
27 Correct 3 ms 336 KB Output is correct
28 Correct 4 ms 336 KB Output is correct
29 Correct 19 ms 512 KB Output is correct
30 Correct 19 ms 468 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 3 ms 384 KB Output is correct
33 Correct 3 ms 340 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 4 ms 340 KB Output is correct
36 Correct 3 ms 384 KB Output is correct
37 Correct 16 ms 468 KB Output is correct
38 Correct 21 ms 512 KB Output is correct
39 Correct 2 ms 336 KB Output is correct
40 Correct 2 ms 356 KB Output is correct
41 Correct 2 ms 384 KB Output is correct
42 Correct 2 ms 368 KB Output is correct
43 Execution timed out 3066 ms 740 KB Time limit exceeded
44 Halted 0 ms 0 KB -

Subtask #8
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 208 KB Output is correct
2 Correct 1 ms 256 KB Output is correct
3 Correct 17 ms 464 KB Output is correct
4 Correct 21 ms 512 KB Output is correct
5 Correct 22 ms 504 KB Output is correct
6 Correct 16 ms 496 KB Output is correct
7 Correct 15 ms 512 KB Output is correct
8 Correct 15 ms 464 KB Output is correct
9 Correct 1 ms 208 KB Output is correct
10 Correct 1 ms 364 KB Output is correct
11 Correct 2 ms 336 KB Output is correct
12 Correct 1 ms 336 KB Output is correct
13 Correct 2 ms 336 KB Output is correct
14 Correct 1 ms 336 KB Output is correct
15 Correct 2 ms 336 KB Output is correct
16 Correct 2 ms 432 KB Output is correct
17 Correct 3 ms 344 KB Output is correct
18 Correct 3 ms 336 KB Output is correct
19 Correct 4 ms 464 KB Output is correct
20 Correct 2 ms 336 KB Output is correct
21 Correct 3 ms 416 KB Output is correct
22 Correct 2 ms 440 KB Output is correct
23 Correct 2 ms 384 KB Output is correct
24 Correct 1 ms 336 KB Output is correct
25 Correct 2 ms 336 KB Output is correct
26 Correct 4 ms 336 KB Output is correct
27 Correct 3 ms 336 KB Output is correct
28 Correct 4 ms 336 KB Output is correct
29 Correct 19 ms 512 KB Output is correct
30 Correct 19 ms 468 KB Output is correct
31 Correct 1 ms 340 KB Output is correct
32 Correct 3 ms 384 KB Output is correct
33 Correct 3 ms 340 KB Output is correct
34 Correct 2 ms 340 KB Output is correct
35 Correct 4 ms 340 KB Output is correct
36 Correct 3 ms 384 KB Output is correct
37 Correct 16 ms 468 KB Output is correct
38 Correct 21 ms 512 KB Output is correct
39 Correct 2 ms 336 KB Output is correct
40 Correct 2 ms 356 KB Output is correct
41 Correct 2 ms 384 KB Output is correct
42 Correct 2 ms 368 KB Output is correct
43 Correct 1251 ms 4648 KB Output is correct
44 Correct 1673 ms 9012 KB Output is correct
45 Correct 1502 ms 9036 KB Output is correct
46 Correct 1606 ms 9036 KB Output is correct
47 Execution timed out 3009 ms 5024 KB Time limit exceeded
48 Halted 0 ms 0 KB -