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Submission #790488

# Submission time Handle Problem Language Result Execution time Memory
790488 2023-07-22T17:32:59 Z dxz05 Digital Circuit (IOI22_circuit) C++17
18 / 100
 3000 ms 7556 KB 
#include "circuit.h"
#include <bits/stdc++.h>

using namespace std;

const int MaxN = 200005;
const int MOD = 1e9 + 2022;

using ll = long long;

int N, M;
vector<int> g[MaxN];

ll dp[MaxN][2];
vector<int> A;

void dfs(int v){
    if (v >= N){
        int st = A[v - N];
        dp[v][st] = 1;
        dp[v][!st] = 0;
        return;
    }

    int c = (int) g[v].size();

    for (int u : g[v]){
        dfs(u);
    }

    vector<ll> knapsack(c + 1, 0);
    knapsack[0] = 1;

    dp[v][0] = 0;
    dp[v][1] = 0;

    long long tot = c;
    for (int u : g[v]){
        tot = tot * (dp[u][0] + dp[u][1]) % MOD;
        for (int i = c; i >= 0; i--){
            long long x = knapsack[i] * dp[u][0];
            if (i > 0) x += knapsack[i - 1] * dp[u][1];
            knapsack[i] = x % MOD;
        }
    }

    for (int i = 1; i <= c; i++){
        dp[v][1] += knapsack[i] * i;
        dp[v][1] %= MOD;
    }

    dp[v][0] = tot - dp[v][1];
    if (dp[v][0] < 0) dp[v][0] += MOD;
}

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++){
        g[P[i]].push_back(i);
    }
}

int count_ways(int L, int R) {
    for (int i = L; i <= R; i++){
        A[i - N] ^= 1;
    }
    dfs(0);
    return dp[0][1];
}

Subtask #1
2.0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4944 KB Output is correct
2 Correct 2 ms 4944 KB Output is correct
3 Correct 11 ms 5048 KB Output is correct
4 Correct 13 ms 5044 KB Output is correct
5 Correct 10 ms 5040 KB Output is correct
6 Correct 10 ms 4944 KB Output is correct
7 Correct 16 ms 4944 KB Output is correct
8 Correct 10 ms 4944 KB Output is correct

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4944 KB Output is correct
2 Correct 2 ms 4944 KB Output is correct
3 Correct 3 ms 4944 KB Output is correct
4 Correct 3 ms 4944 KB Output is correct
5 Correct 3 ms 4944 KB Output is correct
6 Correct 3 ms 4944 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 3 ms 5072 KB Output is correct
10 Correct 3 ms 5072 KB Output is correct
11 Correct 4 ms 5072 KB Output is correct
12 Correct 3 ms 4944 KB Output is correct

Subtask #3
9.0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4944 KB Output is correct
2 Correct 2 ms 4944 KB Output is correct
3 Correct 11 ms 5048 KB Output is correct
4 Correct 13 ms 5044 KB Output is correct
5 Correct 10 ms 5040 KB Output is correct
6 Correct 10 ms 4944 KB Output is correct
7 Correct 16 ms 4944 KB Output is correct
8 Correct 10 ms 4944 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 2 ms 4944 KB Output is correct
11 Correct 3 ms 4944 KB Output is correct
12 Correct 3 ms 4944 KB Output is correct
13 Correct 3 ms 4944 KB Output is correct
14 Correct 3 ms 4944 KB Output is correct
15 Correct 3 ms 5072 KB Output is correct
16 Correct 3 ms 5072 KB Output is correct
17 Correct 3 ms 5072 KB Output is correct
18 Correct 3 ms 5072 KB Output is correct
19 Correct 4 ms 5072 KB Output is correct
20 Correct 3 ms 4944 KB Output is correct
21 Correct 2 ms 5072 KB Output is correct
22 Correct 3 ms 4944 KB Output is correct
23 Correct 3 ms 4944 KB Output is correct
24 Correct 3 ms 5072 KB Output is correct
25 Correct 3 ms 5072 KB Output is correct
26 Correct 3 ms 5072 KB Output is correct
27 Correct 4 ms 5072 KB Output is correct
28 Correct 3 ms 5072 KB Output is correct
29 Correct 9 ms 4944 KB Output is correct
30 Correct 11 ms 4944 KB Output is correct
31 Correct 2 ms 5072 KB Output is correct
32 Correct 4 ms 5072 KB Output is correct
33 Correct 3 ms 4944 KB Output is correct
34 Correct 3 ms 4944 KB Output is correct
35 Correct 4 ms 4944 KB Output is correct
36 Correct 3 ms 5072 KB Output is correct
37 Correct 10 ms 5168 KB Output is correct
38 Correct 10 ms 5188 KB Output is correct
39 Correct 2 ms 4944 KB Output is correct
40 Correct 3 ms 4944 KB Output is correct
41 Correct 3 ms 4956 KB Output is correct
42 Correct 3 ms 4944 KB Output is correct

Subtask #4
0 / 4.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3091 ms 7556 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 3091 ms 7556 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4944 KB Output is correct
2 Correct 2 ms 4944 KB Output is correct
3 Correct 3 ms 4944 KB Output is correct
4 Correct 3 ms 4944 KB Output is correct
5 Correct 3 ms 4944 KB Output is correct
6 Correct 3 ms 4944 KB Output is correct
7 Correct 3 ms 5072 KB Output is correct
8 Correct 3 ms 5072 KB Output is correct
9 Correct 3 ms 5072 KB Output is correct
10 Correct 3 ms 5072 KB Output is correct
11 Correct 4 ms 5072 KB Output is correct
12 Correct 3 ms 4944 KB Output is correct
13 Execution timed out 3091 ms 7556 KB Time limit exceeded
14 Halted 0 ms 0 KB -

Subtask #7
0 / 28.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4944 KB Output is correct
2 Correct 2 ms 4944 KB Output is correct
3 Correct 11 ms 5048 KB Output is correct
4 Correct 13 ms 5044 KB Output is correct
5 Correct 10 ms 5040 KB Output is correct
6 Correct 10 ms 4944 KB Output is correct
7 Correct 16 ms 4944 KB Output is correct
8 Correct 10 ms 4944 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 2 ms 4944 KB Output is correct
11 Correct 3 ms 4944 KB Output is correct
12 Correct 3 ms 4944 KB Output is correct
13 Correct 3 ms 4944 KB Output is correct
14 Correct 3 ms 4944 KB Output is correct
15 Correct 3 ms 5072 KB Output is correct
16 Correct 3 ms 5072 KB Output is correct
17 Correct 3 ms 5072 KB Output is correct
18 Correct 3 ms 5072 KB Output is correct
19 Correct 4 ms 5072 KB Output is correct
20 Correct 3 ms 4944 KB Output is correct
21 Correct 2 ms 5072 KB Output is correct
22 Correct 3 ms 4944 KB Output is correct
23 Correct 3 ms 4944 KB Output is correct
24 Correct 3 ms 5072 KB Output is correct
25 Correct 3 ms 5072 KB Output is correct
26 Correct 3 ms 5072 KB Output is correct
27 Correct 4 ms 5072 KB Output is correct
28 Correct 3 ms 5072 KB Output is correct
29 Correct 9 ms 4944 KB Output is correct
30 Correct 11 ms 4944 KB Output is correct
31 Correct 2 ms 5072 KB Output is correct
32 Correct 4 ms 5072 KB Output is correct
33 Correct 3 ms 4944 KB Output is correct
34 Correct 3 ms 4944 KB Output is correct
35 Correct 4 ms 4944 KB Output is correct
36 Correct 3 ms 5072 KB Output is correct
37 Correct 10 ms 5168 KB Output is correct
38 Correct 10 ms 5188 KB Output is correct
39 Correct 2 ms 4944 KB Output is correct
40 Correct 3 ms 4944 KB Output is correct
41 Correct 3 ms 4956 KB Output is correct
42 Correct 3 ms 4944 KB Output is correct
43 Execution timed out 3004 ms 5232 KB Time limit exceeded
44 Halted 0 ms 0 KB -

Subtask #8
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4944 KB Output is correct
2 Correct 2 ms 4944 KB Output is correct
3 Correct 11 ms 5048 KB Output is correct
4 Correct 13 ms 5044 KB Output is correct
5 Correct 10 ms 5040 KB Output is correct
6 Correct 10 ms 4944 KB Output is correct
7 Correct 16 ms 4944 KB Output is correct
8 Correct 10 ms 4944 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 2 ms 4944 KB Output is correct
11 Correct 3 ms 4944 KB Output is correct
12 Correct 3 ms 4944 KB Output is correct
13 Correct 3 ms 4944 KB Output is correct
14 Correct 3 ms 4944 KB Output is correct
15 Correct 3 ms 5072 KB Output is correct
16 Correct 3 ms 5072 KB Output is correct
17 Correct 3 ms 5072 KB Output is correct
18 Correct 3 ms 5072 KB Output is correct
19 Correct 4 ms 5072 KB Output is correct
20 Correct 3 ms 4944 KB Output is correct
21 Correct 2 ms 5072 KB Output is correct
22 Correct 3 ms 4944 KB Output is correct
23 Correct 3 ms 4944 KB Output is correct
24 Correct 3 ms 5072 KB Output is correct
25 Correct 3 ms 5072 KB Output is correct
26 Correct 3 ms 5072 KB Output is correct
27 Correct 4 ms 5072 KB Output is correct
28 Correct 3 ms 5072 KB Output is correct
29 Correct 9 ms 4944 KB Output is correct
30 Correct 11 ms 4944 KB Output is correct
31 Correct 2 ms 5072 KB Output is correct
32 Correct 4 ms 5072 KB Output is correct
33 Correct 3 ms 4944 KB Output is correct
34 Correct 3 ms 4944 KB Output is correct
35 Correct 4 ms 4944 KB Output is correct
36 Correct 3 ms 5072 KB Output is correct
37 Correct 10 ms 5168 KB Output is correct
38 Correct 10 ms 5188 KB Output is correct
39 Correct 2 ms 4944 KB Output is correct
40 Correct 3 ms 4944 KB Output is correct
41 Correct 3 ms 4956 KB Output is correct
42 Correct 3 ms 4944 KB Output is correct
43 Execution timed out 3091 ms 7556 KB Time limit exceeded
44 Halted 0 ms 0 KB -