This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "circuit.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
const ll mod = 1000002022;
const int maxn = 2e5 + 10;
int n, m, p[maxn], a[maxn];
vector < int > children[maxn];
ll dp[maxn][2], temp[maxn];
void update_state(int v)
{
dp[v][0] = dp[v][1] = 0;
if (v >= n)
{
dp[v][1] = a[v - n];
dp[v][0] = 1 - dp[v][1];
return;
}
int c = children[v].size();
for (int i = 0; i <= c; i ++)
temp[i] = 0;
temp[0] = 1;
for (int u : children[v])
{
for (int i = c; i >= 0; i --)
{
temp[i] = (temp[i] * dp[u][0]) % mod;
if (i > 0)
temp[i] = (temp[i] + temp[i - 1] * dp[u][1]) % mod;
}
}
for (int i = 0; i <= c; i ++)
{
dp[v][0] = (dp[v][0] + temp[i] * (ll)(c - i)) % mod;
dp[v][1] = (dp[v][1] + temp[i] * (ll)(i)) % mod;
}
///cout << v << " " << dp[v][0] << " " << dp[v][1] << endl;
}
void solve_state(int v)
{
for (int u : children[v])
{
solve_state(u);
}
update_state(v);
}
ll pw[maxn];
int act = 0, logM = 0;
void init(int N, int M, std::vector<int> P, std::vector<int> A)
{
n = N;
m = M;
pw[0] = 1;
for (int i = 1; i <= M; i ++)
pw[i] = (pw[i - 1] * (ll)(2)) % mod;
while((1 << logM) < M)
logM ++;
for (int i = 0; i < N + M; i ++)
p[i] = P[i];
for (int i = 0; i < M; i ++)
a[i] = A[i], act += a[i];
for (int i = 1; i < N + M; i ++)
{
children[p[i]].push_back(i);
}
solve_state(0);
}
int tree[4 * maxn], lazy[4 * maxn];
int count_ways(int L, int R)
{
if (L == R)
{
act -= a[L - n];
a[L - n] = (a[L - n] + 1) % 2;
act += a[L - n];
ll ans = (pw[n - logM] * act) % mod;
return ans;
}
else
{
for (int i = L - n; i <= R - n; i ++)
a[i] = ((a[i] + 1) & 1);
solve_state(0);
}
return dp[0][1];
}
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