Submission #1084479

#	Time	Username	Problem	Language	Result	Execution time	Memory
1084479		SamueleVid	Digital Circuit (IOI22_circuit)	C++17	34 / 100	3018 ms	13580 KiB

circuit

#include <bits/stdc++.h>
using namespace std;
#define ll long long

constexpr ll MOD = 1000002022;
constexpr int MAXN = 2e5 + 5;
vector<int> adj[MAXN];
pair<ll, ll> dp[MAXN]; // attivo, spento
bool lazy[MAXN]; // attivo, spento
int N, M;
vector<int> A;
vector<int> P;
int PW;
bool is_seg = 0;

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) 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;
    }

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

pair<ll, ll> merge(int a, int b) {
    vector<ll> poly_a = {dp[a].second, dp[a].first};
    vector<ll> poly_b = {dp[b].second, dp[b].first};

    vector<ll> poly = mult(poly_a, poly_b);

    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;
    }

    return {acceso, spento};
}

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

    if (M == N + 1 && (M & (M - 1)) == 0) is_seg = 1;
    
    if (is_seg) {
        for (int i = 0; i < PW; i ++) dp[PW + i] = {A[i], A[i] ^ 1};
        for (int i = PW - 1; i >= 1; i --) dp[i] = merge(2 * i, 2 * i + 1);
        fill(lazy, lazy + MAXN, 0);
    }
}

void push_lazy(int idx) {
    if (lazy[idx] == 0) return;
    lazy[idx] = 0;
    auto [acceso, spento] = dp[idx];
    dp[idx] = {spento, acceso};

    if (idx >= PW) return;
    lazy[2 * idx] ^= 1;
    lazy[2 * idx + 1] ^= 1;
}

void update(int idx, int l, int r, int ql, int qr) {
    // cout << "idx, l, r, ql, qr : " << idx << " " << l << " " << r << " " << ql << " " << qr << '\n';
    push_lazy(idx);
    if (ql <= l && r <= qr) {
        lazy[idx] = 1;
        push_lazy(idx);
        return;
    }
    if (r <= ql || qr <= l) return;
    push_lazy(idx);

    update(2 * idx    , l, (l + r) / 2, ql, qr);
    update(2 * idx + 1, (l + r) / 2, r, ql, qr);

    dp[idx] = merge(2 * idx, 2 * idx + 1);
}

int count_ways(int L, int R) {
    if (!is_seg) {
        
        for (int i = L - N; i <= R - N; i ++) {
            A[i] ^= 1;
        }

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

        dfs(0);
        return dp[0].first;
    }
    else {
          
        update(1, 0, PW, L - N, R + 1 - N);
        
        return dp[1].first;
    }
}

Compilation message (stderr)

circuit.cpp: In function 'std::vector<long long int> mult(std::vector<long long int>&, std::vector<long long int>&)':
circuit.cpp:21:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   21 |     for (int i = 0; i < a.size(); i ++) {
      |                     ~~^~~~~~~~~~
circuit.cpp:22:27: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   22 |         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 ++) {
      |                     ~~^~~~~~~~~~~~~
circuit.cpp: In function 'std::pair<long long int, long long int> merge(int, int)':
circuit.cpp:65:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<long long int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   65 |     for (int i = 0; i < poly.size(); i ++) {
      |                     ~~^~~~~~~~~~~~~

• Subtask 1: 2 / 2
• Subtask 2: 7 / 7
• Subtask 3: 9 / 9
• Subtask 4: 4 / 4
• Subtask 5: 12 / 12
• Subtask 6: 0 / 27
• Subtask 7: 0 / 28
• Subtask 8: 0 / 11