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Submission #1084441

# Submission time Handle Problem Language Result Execution time Memory
1084441 2024-09-06T08:52:35 Z SamueleVid Digital Circuit (IOI22_circuit) C++17
18 / 100
 3000 ms 5328 KB 
#include <bits/stdc++.h>
using namespace std;
#define ll long long

constexpr ll MOD = 1000002022;
constexpr int MAXN = 1e5 + 5;
vector<int> adj[MAXN];
pair<ll, ll> dp[MAXN]; // attivo, spento
int N, M;
vector<int> A;

vector<ll> mult(vector<ll> &a, vector<ll> &b) { // b size è il minore ed è sempre 2
    int dim = (a.size() - 1) + (b.size() - 1) + 1;
    vector<ll> res(dim);

    for (int i = 0; i < a.size(); i ++) {
        for (int j = 0; j < b.size(); j ++) {
            int sum = (i + j < dim) ? i + j : i + j - dim;
            res[sum] += (a[i] * b[j]) % MOD;
            res[sum] %= MOD;
        }
    }

    return res;
}

void dfs(int u) {
    if (u >= N) {
    //   cout << "u : " << u << '\n';
    //   cout << "source: " << dp[u].first << " " << dp[u].second << '\n';
      return;
    };

    vector<ll> poly;
    poly.push_back(1);

    for (auto x : adj[u]) {
        dfs(x);
        auto [acceso, spento] = dp[x];
        vector<ll> curr_poly = {spento, acceso};
        poly = mult(poly, curr_poly); 
    }

    ll acceso = 0;
    ll spento = 0;
    for (int i = 0; i < poly.size(); i ++) {
        acceso += (poly[i] * i) % MOD;
        acceso %= MOD;
        spento += (poly[i] * (poly.size() - 1 - i)) % MOD;
        spento %= MOD;
    }
    // cout << "u : " << u << '\n';
    // cout << acceso << " " << spento << '\n';

    dp[u] = {acceso, spento};
}

void init(int N, int M, vector<int> P, vector<int> A) {
    :: N = N;
    :: M = M;
    :: A = A;
    for (int i = 1; i < N + M; i ++) {
        adj[P[i]].push_back(i);
    }
}

int count_ways(int L, int R) {
    for (int i = L - N; i <= R - N; i ++) {
      // cout << " i : " << i << '\n';
      A[i] ^= 1;
    }

    // cout << "A : ";
    // for (int i = 0; i < M; i ++) cout << A[i] << " ";
    // cout << '\n';

    for (int i = 0; i < M; i ++) {
        dp[N + i] = {A[i], A[i] ^ 1};
    }

    dfs(0);
    return dp[0].first;
}

Compilation message

circuit.cpp: In function 'std::vector<long long int> mult(std::vector<long long int>&, std::vector<long long int>&)':
circuit.cpp:17:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   17 |     for (int i = 0; i < a.size(); i ++) {
      |                     ~~^~~~~~~~~~
circuit.cpp:18:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   18 |         for (int j = 0; j < b.size(); j ++) {
      |                         ~~^~~~~~~~~~
circuit.cpp: In function 'void dfs(int)':
circuit.cpp:47:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   47 |     for (int i = 0; i < poly.size(); i ++) {
      |                     ~~^~~~~~~~~~~~~

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2656 KB Output is correct
3 Correct 18 ms 2904 KB Output is correct
4 Correct 19 ms 2916 KB Output is correct
5 Correct 21 ms 2904 KB Output is correct
6 Correct 19 ms 2904 KB Output is correct
7 Correct 19 ms 2904 KB Output is correct
8 Correct 19 ms 2904 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2784 KB Output is correct
3 Correct 2 ms 2648 KB Output is correct
4 Correct 2 ms 2648 KB Output is correct
5 Correct 2 ms 2648 KB Output is correct
6 Correct 1 ms 2648 KB Output is correct
7 Correct 2 ms 2648 KB Output is correct
8 Correct 2 ms 2648 KB Output is correct
9 Correct 2 ms 2728 KB Output is correct
10 Correct 3 ms 2904 KB Output is correct
11 Correct 2 ms 2904 KB Output is correct
12 Correct 2 ms 2648 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2656 KB Output is correct
3 Correct 18 ms 2904 KB Output is correct
4 Correct 19 ms 2916 KB Output is correct
5 Correct 21 ms 2904 KB Output is correct
6 Correct 19 ms 2904 KB Output is correct
7 Correct 19 ms 2904 KB Output is correct
8 Correct 19 ms 2904 KB Output is correct
9 Correct 1 ms 2648 KB Output is correct
10 Correct 1 ms 2784 KB Output is correct
11 Correct 2 ms 2648 KB Output is correct
12 Correct 2 ms 2648 KB Output is correct
13 Correct 2 ms 2648 KB Output is correct
14 Correct 1 ms 2648 KB Output is correct
15 Correct 2 ms 2648 KB Output is correct
16 Correct 2 ms 2648 KB Output is correct
17 Correct 2 ms 2728 KB Output is correct
18 Correct 3 ms 2904 KB Output is correct
19 Correct 2 ms 2904 KB Output is correct
20 Correct 2 ms 2648 KB Output is correct
21 Correct 2 ms 2648 KB Output is correct
22 Correct 2 ms 2648 KB Output is correct
23 Correct 2 ms 2648 KB Output is correct
24 Correct 2 ms 2648 KB Output is correct
25 Correct 2 ms 2648 KB Output is correct
26 Correct 2 ms 2648 KB Output is correct
27 Correct 2 ms 2648 KB Output is correct
28 Correct 2 ms 2648 KB Output is correct
29 Correct 19 ms 2904 KB Output is correct
30 Correct 19 ms 2904 KB Output is correct
31 Correct 2 ms 2904 KB Output is correct
32 Correct 2 ms 2656 KB Output is correct
33 Correct 2 ms 2648 KB Output is correct
34 Correct 2 ms 2648 KB Output is correct
35 Correct 5 ms 2648 KB Output is correct
36 Correct 2 ms 2904 KB Output is correct
37 Correct 19 ms 3160 KB Output is correct
38 Correct 19 ms 3156 KB Output is correct
39 Correct 2 ms 2648 KB Output is correct
40 Correct 2 ms 2648 KB Output is correct
41 Correct 2 ms 2648 KB Output is correct
42 Correct 2 ms 2652 KB Output is correct

Subtask #4
0 / 4.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3049 ms 5328 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3049 ms 5328 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2784 KB Output is correct
3 Correct 2 ms 2648 KB Output is correct
4 Correct 2 ms 2648 KB Output is correct
5 Correct 2 ms 2648 KB Output is correct
6 Correct 1 ms 2648 KB Output is correct
7 Correct 2 ms 2648 KB Output is correct
8 Correct 2 ms 2648 KB Output is correct
9 Correct 2 ms 2728 KB Output is correct
10 Correct 3 ms 2904 KB Output is correct
11 Correct 2 ms 2904 KB Output is correct
12 Correct 2 ms 2648 KB Output is correct
13 Execution timed out 3049 ms 5328 KB Time limit exceeded
14 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2648 KB Output is correct
2 Correct 1 ms 2656 KB Output is correct
3 Correct 18 ms 2904 KB Output is correct
4 Correct 19 ms 2916 KB Output is correct
5 Correct 21 ms 2904 KB Output is correct
6 Correct 19 ms 2904 KB Output is correct
7 Correct 19 ms 2904 KB Output is correct
8 Correct 19 ms 2904 KB Output is correct
9 Correct 1 ms 2648 KB Output is correct
10 Correct 1 ms 2784 KB Output is correct
11 Correct 2 ms 2648 KB Output is correct
12 Correct 2 ms 2648 KB Output is correct
13 Correct 2 ms 2648 KB Output is correct
14 Correct 1 ms 2648 KB Output is correct
15 Correct 2 ms 2648 KB Output is correct
16 Correct 2 ms 2648 KB Output is correct
17 Correct 2 ms 2728 KB Output is correct
18 Correct 3 ms 2904 KB Output is correct
19 Correct 2 ms 2904 KB Output is correct
20 Correct 2 ms 2648 KB Output is correct
21 Correct 2 ms 2648 KB Output is correct
22 Correct 2 ms 2648 KB Output is correct
23 Correct 2 ms 2648 KB Output is correct
24 Correct 2 ms 2648 KB Output is correct
25 Correct 2 ms 2648 KB Output is correct
26 Correct 2 ms 2648 KB Output is correct
27 Correct 2 ms 2648 KB Output is correct
28 Correct 2 ms 2648 KB Output is correct
29 Correct 19 ms 2904 KB Output is correct
30 Correct 19 ms 2904 KB Output is correct
31 Correct 2 ms 2904 KB Output is correct
32 Correct 2 ms 2656 KB Output is correct
33 Correct 2 ms 2648 KB Output is correct
34 Correct 2 ms 2648 KB Output is correct
35 Correct 5 ms 2648 KB Output is correct
36 Correct 2 ms 2904 KB Output is correct
37 Correct 19 ms 3160 KB Output is correct
38 Correct 19 ms 3156 KB Output is correct
39 Correct 2 ms 2648 KB Output is correct
40 Correct 2 ms 2648 KB Output is correct
41 Correct 2 ms 2648 KB Output is correct
42 Correct 2 ms 2652 KB Output is correct
43 Execution timed out 3009 ms 2904 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 2648 KB Output is correct
2 Correct 1 ms 2656 KB Output is correct
3 Correct 18 ms 2904 KB Output is correct
4 Correct 19 ms 2916 KB Output is correct
5 Correct 21 ms 2904 KB Output is correct
6 Correct 19 ms 2904 KB Output is correct
7 Correct 19 ms 2904 KB Output is correct
8 Correct 19 ms 2904 KB Output is correct
9 Correct 1 ms 2648 KB Output is correct
10 Correct 1 ms 2784 KB Output is correct
11 Correct 2 ms 2648 KB Output is correct
12 Correct 2 ms 2648 KB Output is correct
13 Correct 2 ms 2648 KB Output is correct
14 Correct 1 ms 2648 KB Output is correct
15 Correct 2 ms 2648 KB Output is correct
16 Correct 2 ms 2648 KB Output is correct
17 Correct 2 ms 2728 KB Output is correct
18 Correct 3 ms 2904 KB Output is correct
19 Correct 2 ms 2904 KB Output is correct
20 Correct 2 ms 2648 KB Output is correct
21 Correct 2 ms 2648 KB Output is correct
22 Correct 2 ms 2648 KB Output is correct
23 Correct 2 ms 2648 KB Output is correct
24 Correct 2 ms 2648 KB Output is correct
25 Correct 2 ms 2648 KB Output is correct
26 Correct 2 ms 2648 KB Output is correct
27 Correct 2 ms 2648 KB Output is correct
28 Correct 2 ms 2648 KB Output is correct
29 Correct 19 ms 2904 KB Output is correct
30 Correct 19 ms 2904 KB Output is correct
31 Correct 2 ms 2904 KB Output is correct
32 Correct 2 ms 2656 KB Output is correct
33 Correct 2 ms 2648 KB Output is correct
34 Correct 2 ms 2648 KB Output is correct
35 Correct 5 ms 2648 KB Output is correct
36 Correct 2 ms 2904 KB Output is correct
37 Correct 19 ms 3160 KB Output is correct
38 Correct 19 ms 3156 KB Output is correct
39 Correct 2 ms 2648 KB Output is correct
40 Correct 2 ms 2648 KB Output is correct
41 Correct 2 ms 2648 KB Output is correct
42 Correct 2 ms 2652 KB Output is correct
43 Execution timed out 3049 ms 5328 KB Time limit exceeded
44 Halted 0 ms 0 KB -