Submission #1264905

#	Time	Username	Problem	Language	Result	Execution time	Memory
1264905		silentloop	Digital Circuit (IOI22_circuit)	C++20	18 / 100	3098 ms	7044 KiB

circuit

#include <bits/stdc++.h>
#define ll long long
#define sz(x) int(x.size())
#define forn(i, n) for (i = 0; i < n; i++)
#define all(x) x.begin(), x.end()
#define pb push_back
#define mp make_pair
#define fr first
#define se second
using namespace std;

const int MAXN = 2e5 + 1;
const int MOD = 1000002022;
vector<ll> grafo[MAXN];

ll val[MAXN];

ll n, m, tot = 0;

pair<ll, ll> dfs(ll nod) { // fr: ways activo (state=1), se: ways apagado (state=0)
    if (nod >= n) {
        return {val[nod], 1 - val[nod]};
    }
    vector<pair<ll, ll>> children_ways;
    for (auto k : grafo[nod]) {
        auto p = dfs(k);
        children_ways.pb(p);
    }
    int c = sz(children_ways);
    if (c == 0) {
        return {0, 0}; 
    }
    vector<ll> S(c);
    for (int i = 0; i < c; i++) {
        S[i] = (children_ways[i].fr + children_ways[i].se) % MOD;
    }
    // Productos prefijo (left: prod j=0 to i-1)
    vector<ll> left(c);
    left[0] = 1;
    for (int i = 1; i < c; i++) {
        left[i] = left[i - 1] * S[i - 1] % MOD;
    }
    // Productos sufijo (right: prod j=i+1 to c-1)
    vector<ll> right(c);
    right[c - 1] = 1;
    for (int i = c - 2; i >= 0; i--) {
        right[i] = right[i + 1] * S[i + 1] % MOD;
    }
    // Calcular on
    ll onn = 0;
    for (int i = 0; i < c; i++) {
        ll prod_others = left[i] * right[i] % MOD;
        onn = (onn + children_ways[i].fr * prod_others % MOD) % MOD;
    }
    // Calcular full_prod = prod all S
    ll full_prod = 1;
    for (auto s : S) {
        full_prod = full_prod * s % MOD;
    }
    // off = c * full_prod - onn
    ll off = ((ll)c * full_prod % MOD - onn + MOD) % MOD;
    return {onn, off};
}

void calc() {
    pair<ll, ll> a = dfs(0);
    tot = a.fr;
}

void init(int N, int M, std::vector<int> P, std::vector<int> A) {
    ll i;
    for (i = 1; i < sz(P); i++)
        grafo[P[i]].pb(i);
    for (i = 0; i < sz(A); i++)
        val[i + N] = A[i];
    n = N;
    m = M;
}

int count_ways(int L, int R) {
    ll i;
    for (i = L; i <= R; i++)
        val[i] = !val[i];
    calc();
    return tot;
}

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