Submission #826086

#	Time	Username	Problem	Language	Result	Execution time	Memory
826086		PixelCat	Digital Circuit (IOI22_circuit)	C++17	16 / 100	1540 ms	12464 KiB

circuit

#include "circuit.h"

#ifdef NYAOWO
#include "stub.cpp"
#endif

#include <bits/stdc++.h>
#define For(i, a, b) for(int i = a; i <= b; i++)
#define Forr(i, a, b) for(int i = a; i >= b; i--)
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define sz(x) ((int)x.size())
#define eb emplace_back
#define int LL
using namespace std;
using i32 = int32_t;
using LL = long long;
using pii = pair<int, int>;

const int MAXN = 200'000;
const int MOD = 1'000'002'022;

int n, m;
vector<int> adj[MAXN + 10];
int p[MAXN + 10];
int dp[MAXN + 10][2];
int a[MAXN + 10];
int flip[MAXN + 10];

void update(int x) {
    if(x >= n) {
        dp[x][a[x]] = 1;
        dp[x][1 - a[x]] = 0;
        if(flip[x]) swap(dp[x][0], dp[x][1]);
        return;
    }
    vector<int> v(1, 1);
    for(auto &child:adj[x]) {
        vector<int> v2;
        v2.eb(v[0] * dp[child][0] % MOD);
        For(i, 1, sz(v) - 1) {
            v2.eb((v[i] * dp[child][0] + v[i - 1] * dp[child][1]) % MOD);
        }
        v2.eb(v.back() * dp[child][1] % MOD);
        v.swap(v2);
    }
    dp[x][0] = dp[x][1] = 0;
    int c = sz(adj[x]);
    For(i, 0, c) {
        dp[x][0] = (dp[x][0] + v[i] * (c - i)) % MOD;
        dp[x][1] = (dp[x][1] + v[i] * i) % MOD;
    }
    if(flip[x]) swap(dp[x][0], dp[x][1]);
}

void init(i32 N, i32 M, std::vector<i32> P, std::vector<i32> A) {
    n = N; m = M;
    p[0] = -1;
    For(i, 1, n + m - 1) {
        adj[P[i]].eb(i);
        p[i] = P[i];
    }
    For(i, 0, m - 1) {
        a[n + i] = A[i];
    }
    Forr(i, n + m - 1, 0) update(i);
}

#define L(id) ((id) * 2 + 1)
#define R(id) ((id) * 2 + 2)
void range_flip(int id, int l, int r, int L, int R) {
    if(l >= L && r <= R) {
        flip[id] ^= 1;
        update(id);
        // cerr << id << " " << l << " " << r << " " << dp[id][1] << dp[id][0] << "\n";
        return;
    }
    int mi = (l + r) / 2;
    if(L <= mi) range_flip(L(id), l, mi, L, R);
    if(R > mi)  range_flip(R(id), mi + 1, r, L, R);
    update(id);
}

i32 count_ways(i32 L, i32 R) {
    // int i = L;
    // swap(dp[i][0], dp[i][1]);
    // i = p[i];
    // while(i >= 0) {
    //     update(i);
    //     i = p[i];
    // }
    range_flip(0, n, n + m - 1, L, R);
    return (i32)dp[0][1];
}

/*

3 4 3
-1 0 1 2 1 1 0
1 0 1 0
3 4
4 5
3 6

2
0
6

*/

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