oj.uz

Submission #793152

# Submission time Handle Problem Language Result Execution time Memory
793152 2023-07-25T14:30:56 Z SlavicG Digital Circuit (IOI22_circuit) C++17
22 / 100
 3000 ms 13332 KB 
#include <bits/stdc++.h>
#include "circuit.h"
using namespace std;
const int N = 2e5 + 5, mod = 1000002022;
vector<int> adj[N];
int64_t dp[N][2], color[N];
vector<int> par;
void dfs(int u) {
    if(adj[u].size() == 0) {
        if(color[u]) dp[u][0] = 0, dp[u][1] = 1;
        else dp[u][0] = 1, dp[u][1] = 0;
        return;
    }
    for(int v: adj[u]) dfs(v);
    vector<vector<int64_t>> D((int)adj[u].size() + 1, vector<int64_t>((int)adj[u].size() + 1));
    D[0][0] = 1;
    for(int i = 0; i < (int)adj[u].size(); ++i) {
        for(int j = 0; j <= i; ++j) {
            D[i + 1][j] += D[i][j] * dp[adj[u][i]][0] % mod;
            D[i + 1][j] %= mod;
            D[i + 1][j + 1] += D[i][j] * dp[adj[u][i]][1] % mod;
            D[i + 1][j + 1] %= mod; 
        }
    }
    dp[u][0] = dp[u][1] = 0;
    for(int i = 0; i <= (int)adj[u].size(); ++i) {
        dp[u][1] += D[(int)adj[u].size()][i] * i % mod;
        dp[u][1] %= mod;
        dp[u][0] += D[(int)adj[u].size()][i] * ((int)adj[u].size() - i) % mod;
        dp[u][0] %= mod;
    }
} 
void calc(int u) {
    if(adj[u].size() == 0) {
        if(color[u]) dp[u][0] = 0, dp[u][1] = 1;
        else dp[u][0] = 1, dp[u][1] = 0;
        return;
    }
    vector<vector<int64_t>> D((int)adj[u].size() + 1, vector<int64_t>((int)adj[u].size() + 1));
    D[0][0] = 1;
    for(int i = 0; i < (int)adj[u].size(); ++i) {
        for(int j = 0; j <= i; ++j) {
            D[i + 1][j] += D[i][j] * dp[adj[u][i]][0] % mod;
            D[i + 1][j] %= mod;
            D[i + 1][j + 1] += D[i][j] * dp[adj[u][i]][1] % mod;
            D[i + 1][j + 1] %= mod; 
        }
    }
    dp[u][0] = dp[u][1] = 0;
    for(int i = 0; i <= (int)adj[u].size(); ++i) {
        dp[u][1] += D[(int)adj[u].size()][i] * i % mod;
        dp[u][1] %= mod;
        dp[u][0] += D[(int)adj[u].size()][i] * ((int)adj[u].size() - i) % mod;
        dp[u][0] %= mod;
    }
}
void init(int N, int M, std::vector<int> P, std::vector<int> A) {
    par = P;
    for(int i = 1; i < N + M; ++i) {
        adj[P[i]].push_back(i);
    }
    for(int i = 0; i < M; ++i) color[i + N] = A[i];
    dfs(0);
}

int count_ways(int L, int R) {
    for(int i = L; i <= R; ++i) {
        color[i] ^= 1;
    }
    if(L == R) {
        int u = L;
        while(u != 0) {
            calc(u);
            u = par[u];
        }
        calc(0);
    } else {
        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 3 ms 4944 KB Output is correct
3 Correct 35 ms 12508 KB Output is correct
4 Correct 32 ms 12964 KB Output is correct
5 Correct 29 ms 12972 KB Output is correct
6 Correct 30 ms 12992 KB Output is correct
7 Correct 34 ms 12996 KB Output is correct
8 Correct 29 ms 12964 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 3 ms 4944 KB Output is correct
3 Correct 4 ms 4944 KB Output is correct
4 Correct 3 ms 4944 KB Output is correct
5 Correct 3 ms 4996 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 4 ms 5072 KB Output is correct
8 Correct 4 ms 5072 KB Output is correct
9 Correct 3 ms 5072 KB Output is correct
10 Correct 3 ms 5200 KB Output is correct
11 Correct 4 ms 5200 KB Output is correct
12 Correct 3 ms 5072 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 3 ms 4944 KB Output is correct
3 Correct 35 ms 12508 KB Output is correct
4 Correct 32 ms 12964 KB Output is correct
5 Correct 29 ms 12972 KB Output is correct
6 Correct 30 ms 12992 KB Output is correct
7 Correct 34 ms 12996 KB Output is correct
8 Correct 29 ms 12964 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 3 ms 4944 KB Output is correct
11 Correct 4 ms 4944 KB Output is correct
12 Correct 3 ms 4944 KB Output is correct
13 Correct 3 ms 4996 KB Output is correct
14 Correct 3 ms 5072 KB Output is correct
15 Correct 4 ms 5072 KB Output is correct
16 Correct 4 ms 5072 KB Output is correct
17 Correct 3 ms 5072 KB Output is correct
18 Correct 3 ms 5200 KB Output is correct
19 Correct 4 ms 5200 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 4 ms 5072 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 4944 KB Output is correct
24 Correct 3 ms 5072 KB Output is correct
25 Correct 4 ms 5072 KB Output is correct
26 Correct 4 ms 5048 KB Output is correct
27 Correct 5 ms 5072 KB Output is correct
28 Correct 3 ms 5072 KB Output is correct
29 Correct 39 ms 12972 KB Output is correct
30 Correct 28 ms 12960 KB Output is correct
31 Correct 3 ms 5200 KB Output is correct
32 Correct 4 ms 5064 KB Output is correct
33 Correct 3 ms 4976 KB Output is correct
34 Correct 3 ms 4944 KB Output is correct
35 Correct 7 ms 5440 KB Output is correct
36 Correct 3 ms 5200 KB Output is correct
37 Correct 40 ms 13332 KB Output is correct
38 Correct 29 ms 13180 KB Output is correct
39 Correct 3 ms 5072 KB Output is correct
40 Correct 4 ms 5072 KB Output is correct
41 Correct 4 ms 4992 KB Output is correct
42 Correct 3 ms 5012 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 716 ms 8344 KB Output is correct
2 Correct 853 ms 11632 KB Output is correct
3 Correct 1118 ms 11640 KB Output is correct
4 Correct 995 ms 11612 KB Output is correct

Subtask #5
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 716 ms 8344 KB Output is correct
2 Correct 853 ms 11632 KB Output is correct
3 Correct 1118 ms 11640 KB Output is correct
4 Correct 995 ms 11612 KB Output is correct
5 Execution timed out 3087 ms 8312 KB Time limit exceeded
6 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 3 ms 4944 KB Output is correct
3 Correct 4 ms 4944 KB Output is correct
4 Correct 3 ms 4944 KB Output is correct
5 Correct 3 ms 4996 KB Output is correct
6 Correct 3 ms 5072 KB Output is correct
7 Correct 4 ms 5072 KB Output is correct
8 Correct 4 ms 5072 KB Output is correct
9 Correct 3 ms 5072 KB Output is correct
10 Correct 3 ms 5200 KB Output is correct
11 Correct 4 ms 5200 KB Output is correct
12 Correct 3 ms 5072 KB Output is correct
13 Correct 716 ms 8344 KB Output is correct
14 Correct 853 ms 11632 KB Output is correct
15 Correct 1118 ms 11640 KB Output is correct
16 Correct 995 ms 11612 KB Output is correct
17 Execution timed out 3087 ms 8312 KB Time limit exceeded
18 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 3 ms 4944 KB Output is correct
3 Correct 35 ms 12508 KB Output is correct
4 Correct 32 ms 12964 KB Output is correct
5 Correct 29 ms 12972 KB Output is correct
6 Correct 30 ms 12992 KB Output is correct
7 Correct 34 ms 12996 KB Output is correct
8 Correct 29 ms 12964 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 3 ms 4944 KB Output is correct
11 Correct 4 ms 4944 KB Output is correct
12 Correct 3 ms 4944 KB Output is correct
13 Correct 3 ms 4996 KB Output is correct
14 Correct 3 ms 5072 KB Output is correct
15 Correct 4 ms 5072 KB Output is correct
16 Correct 4 ms 5072 KB Output is correct
17 Correct 3 ms 5072 KB Output is correct
18 Correct 3 ms 5200 KB Output is correct
19 Correct 4 ms 5200 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 4 ms 5072 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 4944 KB Output is correct
24 Correct 3 ms 5072 KB Output is correct
25 Correct 4 ms 5072 KB Output is correct
26 Correct 4 ms 5048 KB Output is correct
27 Correct 5 ms 5072 KB Output is correct
28 Correct 3 ms 5072 KB Output is correct
29 Correct 39 ms 12972 KB Output is correct
30 Correct 28 ms 12960 KB Output is correct
31 Correct 3 ms 5200 KB Output is correct
32 Correct 4 ms 5064 KB Output is correct
33 Correct 3 ms 4976 KB Output is correct
34 Correct 3 ms 4944 KB Output is correct
35 Correct 7 ms 5440 KB Output is correct
36 Correct 3 ms 5200 KB Output is correct
37 Correct 40 ms 13332 KB Output is correct
38 Correct 29 ms 13180 KB Output is correct
39 Correct 3 ms 5072 KB Output is correct
40 Correct 4 ms 5072 KB Output is correct
41 Correct 4 ms 4992 KB Output is correct
42 Correct 3 ms 5012 KB Output is correct
43 Execution timed out 3020 ms 5308 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 3 ms 4944 KB Output is correct
3 Correct 35 ms 12508 KB Output is correct
4 Correct 32 ms 12964 KB Output is correct
5 Correct 29 ms 12972 KB Output is correct
6 Correct 30 ms 12992 KB Output is correct
7 Correct 34 ms 12996 KB Output is correct
8 Correct 29 ms 12964 KB Output is correct
9 Correct 2 ms 4944 KB Output is correct
10 Correct 3 ms 4944 KB Output is correct
11 Correct 4 ms 4944 KB Output is correct
12 Correct 3 ms 4944 KB Output is correct
13 Correct 3 ms 4996 KB Output is correct
14 Correct 3 ms 5072 KB Output is correct
15 Correct 4 ms 5072 KB Output is correct
16 Correct 4 ms 5072 KB Output is correct
17 Correct 3 ms 5072 KB Output is correct
18 Correct 3 ms 5200 KB Output is correct
19 Correct 4 ms 5200 KB Output is correct
20 Correct 3 ms 5072 KB Output is correct
21 Correct 4 ms 5072 KB Output is correct
22 Correct 3 ms 5072 KB Output is correct
23 Correct 3 ms 4944 KB Output is correct
24 Correct 3 ms 5072 KB Output is correct
25 Correct 4 ms 5072 KB Output is correct
26 Correct 4 ms 5048 KB Output is correct
27 Correct 5 ms 5072 KB Output is correct
28 Correct 3 ms 5072 KB Output is correct
29 Correct 39 ms 12972 KB Output is correct
30 Correct 28 ms 12960 KB Output is correct
31 Correct 3 ms 5200 KB Output is correct
32 Correct 4 ms 5064 KB Output is correct
33 Correct 3 ms 4976 KB Output is correct
34 Correct 3 ms 4944 KB Output is correct
35 Correct 7 ms 5440 KB Output is correct
36 Correct 3 ms 5200 KB Output is correct
37 Correct 40 ms 13332 KB Output is correct
38 Correct 29 ms 13180 KB Output is correct
39 Correct 3 ms 5072 KB Output is correct
40 Correct 4 ms 5072 KB Output is correct
41 Correct 4 ms 4992 KB Output is correct
42 Correct 3 ms 5012 KB Output is correct
43 Correct 716 ms 8344 KB Output is correct
44 Correct 853 ms 11632 KB Output is correct
45 Correct 1118 ms 11640 KB Output is correct
46 Correct 995 ms 11612 KB Output is correct
47 Execution timed out 3087 ms 8312 KB Time limit exceeded
48 Halted 0 ms 0 KB -