oj.uz

Submission #1066955

# Submission time Handle Problem Language Result Execution time Memory
1066955 2024-08-20T09:03:05 Z j_vdd16 Digital Circuit (IOI22_circuit) C++17
7 / 100
 3000 ms 3900 KB 
#include "circuit.h"

#include <algorithm>
#include <bitset>
#include <cstdint>
#include <cstring>
#include <iostream>
#include <limits.h>
#include <math.h>
#include <map>
#include <numeric>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <vector>

#define int long long
#define loop(X, N) for(int X = 0; X < (N); X++)
#define all(V) V.begin(), V.end()
#define rall(V) V.rbegin(), V.rend()

using namespace std;

typedef vector<int> vi;
typedef vector<vi> vvi;
typedef pair<int, int> ii;
typedef vector<ii> vii;
typedef vector<vector<ii>> vvii;
typedef vector<bool> vb;
typedef vector<vector<bool>> vvb;


int n, m;
vvi children;
vector<signed> assignment;
vi c;

constexpr int mod = 1'000'002'022;
int dfs(int node) { //a
    if (node >= n) {
        return { assignment[node - n] };
    }

    vii counts; //c, a
    for (int child : children[node]) {
        int res = dfs(child);
        counts.push_back({c[child], res});
    }

    /*
    2 children:
    a = 
        1 * (a[0] * b[1] + b[0] * a[1]) +
        2 * (a[0] * a[1])
      =
        1 * (a[0] * (c[1] - a[1]) + (c[0] - a[0]) * a[1]) +
        2 * (a[0] * a[1])
      = a[0] * c[1] + c[0] * a[1]
    */
    /*
    a - b
    |
    c - d
    |
    e

    c = e * 1 + d * 1
    a = c * 1 + b * 2 = (e * 1 + d * 1) + b * 2
    */
    return (counts[0].first * counts[1].second + counts[0].second * counts[1].first) % mod;
}

vi factors;
void cDfs(int node) {
    if (node >= n) {
        c[node] = 1;
        return;
    }

    vii out;
    c[node] = children[node].size();
    for (int child : children[node]) {
        cDfs(child);

        c[node] = (c[node] * c[child]) % mod;
    }
}
void factorDfs(int node, int factor) {
    if (node >= n) {
        factors[node - n] = factor;
        return;
    }

    factorDfs(children[node][0], (factor * c[children[node][1]]) % mod);
    factorDfs(children[node][1], (factor * c[children[node][0]]) % mod);
}

void init(signed N, signed M, std::vector<signed> P, std::vector<signed> A) {
    n = N;
    m = M;
    children = vvi(n);
    assignment = A;
    c = vi(n + m);
    factors = vi(m);

    for (int i = 1; i < n + m; i++) {
        children[P[i]].push_back(i);
    }

    cDfs(0);
    factorDfs(0, 1);
}

signed count_ways(signed L, signed R) {
    for (int i = L; i <= R; i++) {
        assignment[i - n] ^= 1;
    }

    int res = 0;
    loop(i, m) {
        res = (res + assignment[i] * factors[i]) % mod;
    }

    return res;
    /*
    3 children:
    a = 
        1 * (a[0] * b[1] * b[2] + b[0] * a[1] * b[2] + b[0] * b[1] * a[2]) + 
        2 * (a[0] * a[1] * b[2] + a[0] * b[1] * a[2] + b[0] * a[1] * a[2]) +
        3 * (a[0] * a[1] * a[2])
      =
        1 * (a[0] * (c[1] - a[1]) * (c[2] - a[2]))
        2 * (a[0] * a[1] * (c[2] - a[2]))
        3 * (a[0] * a[1] * a[2])
      =
        (1 + 2 - 3) * (a[0] * a[1] * a[2])
        a[0] * c[1] * c[2]
        2 * (a[0] * a[1] * c[2]) - 2 * (a[0] * a[1] * c[2])
    
    C = c[0] * c[1] * c[2] * 3
    b = C - a
      = 

    2 children:
    a = 
        1 * (a[0] * b[1] + b[0] * a[1]) +
        2 * (a[0] * a[1])
      =
        1 * (a[0] * (c[1] - a[1]) + (c[0] - a[0]) * a[1]) +
        2 * (a[0] * a[1])
      = a[0] * c[1] + c[0] * a[1]
    
    C = c[0] * c[1] * 2
    b = C - a
      = 
    */

    //return 0;
}

Subtask #1
0 / 2.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Execution timed out 3008 ms 344 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #2
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 600 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 1 ms 344 KB Output is correct

Subtask #3
0 / 9.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Execution timed out 3008 ms 344 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #4
0 / 4.0

# Verdict Execution time Memory Grader output
1 Execution timed out 3009 ms 3900 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 3009 ms 3900 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0 / 27.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 344 KB Output is correct
4 Correct 1 ms 344 KB Output is correct
5 Correct 0 ms 344 KB Output is correct
6 Correct 0 ms 344 KB Output is correct
7 Correct 1 ms 344 KB Output is correct
8 Correct 1 ms 344 KB Output is correct
9 Correct 1 ms 344 KB Output is correct
10 Correct 1 ms 600 KB Output is correct
11 Correct 1 ms 600 KB Output is correct
12 Correct 1 ms 344 KB Output is correct
13 Execution timed out 3009 ms 3900 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 344 KB Output is correct
2 Execution timed out 3008 ms 344 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #8
0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Execution timed out 3008 ms 344 KB Time limit exceeded
3 Halted 0 ms 0 KB -