#include "circuit.h"
#include <bits/stdc++.h>
#define ll long long
#define pii pair<int,int>
#define pll pair<ll,ll>
#define rep(i,m,n) for(int i=(m); i<=(n); i++)
#define reb(i,m,n) for(int i=(m); i>=(n); i--)
#define iter(id, v) for(auto id : v)
#define fs first
#define se second
#define MP make_pair
#define pb push_back
#define bit(msk, i) ((msk >> i) & 1)
#define SZ(v) (ll)v.size()
#define ALL(v) v.begin(),v.end()
using namespace std;
mt19937_64 rd(chrono :: steady_clock :: now ().time_since_epoch().count());
ll Rand (ll l, ll r) { return uniform_int_distribution<ll> (l, r) (rd); }
const int N = 2e3 + 7;
const int Mod = 1e9 + 2022;
const int INF = 1e9;
const ll BASE = 137;
const int szBL = 350;
int n, m, Q;
int P[N], a[N];
vector<int> ke[N];
pii qr[N];
namespace sub3 {
ll dp[N][2], f[N][N];
void dfs (int u, int p) {
iter (&v, ke[u]) {
if (v != p) {///aware!!!!!!!!
dfs(v, u);
}
}
int m = SZ(ke[u]);
rep (i, 0, m)
rep (j, 0, m) f[i][j] = 0;
f[0][0] = 1;
rep (i, 1, m) {
int v = ke[u][i - 1];
rep (j, 0, m ) {
f[i][j] = f[i - 1][j] * dp[v][0] % Mod;
if (j) (f[i][j] += f[i - 1][j - 1] * dp[v][1] % Mod) %= Mod;
// cout << u<<" "<<v<<","<<i<<" "<<j<<" "<<f[i][j] <<"\n";
}
}
ll pre = f[m][0];
rep (i, 1, m) {
(dp[u][0] += pre) %= Mod;
(pre += f[m][i]) %= Mod;
}
ll suf = 0;
reb (i, m, 1) {
(suf += f[m][i]) %= Mod;
(dp[u][1] += suf) %= Mod;
}
// cout << u<<" "<<dp[u][0]<<","<<dp[u][1] <<"\n";
}
ll solution() {
rep (i, 1, n + m) rep (j, 0, 1) dp[i][j] = 0;
rep (i, n + 1, n + m) dp[i][a[i]] = 1;
dfs(1, 0);
return dp[1][1];
// cout << dp[1][1] <<"\n";
}
}
namespace sub4 {
ll dp[N][2];
int pa[N];
bool check () {
int K = 1; while (K < m) K *= 2;
if (K == m && m == n + 1) {
rep (i, 2, n + m) if (P[i] + 1 == i / 2) {} else return 0;
return 1;
}
return 0;
}
void update (int u) {
int v1 = ke[u][0], v2 = ke[u][1];
ll delta = (dp[v1][0] * dp[v2][1] % Mod + dp[v1][1] * dp[v2][0] % Mod) % Mod;
dp[u][0] = (delta + 2LL * dp[v1][0] * dp[v2][0] % Mod) % Mod;
dp[u][1] = (delta + 2LL * dp[v1][1] * dp[v2][1] % Mod) % Mod;
}
void dfs (int u, int p) {
pa[u] = p;
iter (&v, ke[u]) {
dfs(v, u);
}
update (u);
}
void init () {
dfs(1, 0);
}
ll solution(int u) {
dp[u][a[u]] = 1;
dp[u][a[u] ^ 1] = 0;
while (u != 1) {
u = pa[u];
update(u);
}
return dp[1][1];
}
}
int count_ways (int L, int R) {
++L;
++R;
rep (i, L, R) a[i] ^= 1;
if (L == R && sub4 :: check()) return sub4 :: solution(L);
else
return sub3 :: solution();
}
void init (int _n, int _m, vector<int> _P, vector<int> _a) {
n = _n;
m = _m;
rep (i, 1, n + m) P[i] = _P[i - 1];
rep (i, 1, m) a[i + n] = _a[i - 1];
rep (i, 1, n + m) {
if (i > 1) {
ke[P[i] + 1].pb(i);
// cout << i <<" "<<P[i] + 1 <<"\n";
}
}
if (sub4 :: check())
sub4 :: init();
}
void solution() {
cin >> n >> m >> Q;
rep (i, 1, n + m) {
cin >> P[i];
if (i > 1) {
ke[P[i] + 1].pb(i);
// cout << i <<" "<<P[i] + 1 <<"\n";
}
}
rep (i, n + 1, n + m) cin >> a[i];
if (sub4 :: check())
sub4 :: init();
rep (i, 1, Q) {
int L, R;
cin >> L >> R;
cout << count_ways(L, R) <<"\n";
}
}
//#define file(name) freopen(name".inp","r",stdin); \
//freopen(name".out","w",stdout);
//int main () {
//// file("c");
// ios_base :: sync_with_stdio(false); cin.tie(0); cout.tie(0);
// int num_Test = 1;
// init(3, 4, {-1, 0, 1, 2, 1, 1, 0}, {1, 0, 1, 0});
// cout << count_ways(3, 4) <<"\n";
//// cin >> num_Test;
//// while (num_Test--)
//// solution();
//}
/*
no bug +5
3 4 3
-1 0 1 2 1 1 0
1 0 1 0
3 4
4 5
3 6
*/
Compilation message
circuit.cpp:163:1: warning: multi-line comment [-Wcomment]
163 | //#define file(name) freopen(name".inp","r",stdin); \
| ^
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
2 ms |
600 KB |
Execution killed with signal 11 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
2 ms |
600 KB |
Execution killed with signal 11 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
2 ms |
600 KB |
Execution killed with signal 11 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
8 ms |
2136 KB |
Execution killed with signal 11 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
8 ms |
2136 KB |
Execution killed with signal 11 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
2 ms |
600 KB |
Execution killed with signal 11 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
2 ms |
600 KB |
Execution killed with signal 11 |
| 2 |
Halted |
0 ms |
0 KB |
- |
| # |
Verdict |
Execution time |
Memory |
Grader output |
| 1 |
Runtime error |
2 ms |
600 KB |
Execution killed with signal 11 |
| 2 |
Halted |
0 ms |
0 KB |
- |
