#include "circuit.h"
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef vector<int> vi;
typedef vector<vi> vii;
typedef pair<int,int> pi;
typedef vector<pi> pii;
typedef tuple<ll,int,int> ti;
typedef vector<ll> li;
typedef vector<li> lii;
#define REP(i,a,b) for(int i=a;i<b;i++)
#define F first
#define S second
#define PB push_back
#define LSOne(s) ((s)&(-s))
#define all(x) (x).begin(),(x).end()
ll INF=1000000000000000010;
int inf=1e9+10;
ll M=1000002022;
int n,m,k;
vi a,p,lazy;
vector<ll> X,Y;
void update(int x,int l,int r,int u,int v){
if(u>v)return;
if(lazy[x]%2){
lazy[x]=0;
if(l!=r){
swap(X[2*x],Y[2*x]);
swap(X[2*x+1],Y[2*x+1]);
lazy[2*x]++;
lazy[2*x+1]++;
}
}
if(l==u&&r==v){
swap(X[x],Y[x]);
lazy[x]++;
return;
}
int mid=(l+r)/2;
update(2*x,l,mid,u,min(v,mid));
update(2*x+1,mid+1,r,max(u,mid+1),v);
X[x]=(X[2*x]*Y[2*x+1])%M+(X[2*x+1]*Y[2*x])%M+(X[2*x]*X[2*x+1]*2LL)%M;
Y[x]=(Y[2*x]*X[2*x+1])%M+(Y[2*x+1]*X[2*x])%M+(Y[2*x]*Y[2*x+1]*2LL)%M;
X[x]%=M;
Y[x]%=M;
}
void init(int N, int MM, std::vector<int> P, std::vector<int> A) {
n=N;m=MM;p=P;a=A;
k=n+m;
X.resize(k+1,0);
Y.resize(k+1,0);
lazy.resize(k+1,0);
REP(i,n,n+m){
if(a[i-n])X[i+1]=1;
else Y[i+1]=1;
}
for(int i=n;i>=1;i--){
X[i]=(X[2*i]*Y[2*i+1])%M+(X[2*i+1]*Y[2*i])%M+(X[2*i]*X[2*i+1]*2LL)%M;
Y[i]=(Y[2*i]*X[2*i+1])%M+(Y[2*i+1]*X[2*i])%M+(Y[2*i]*Y[2*i+1]*2LL)%M;
X[i]%=M;
Y[i]%=M;
}
return;
}
int count_ways(int L, int R) {
update(1,0,m-1,L-n,R-n);
return X[1];
}
