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 <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#define F first
#define S second
#define pb push_back
#define ppb pop_back
#define ep insert
#define endl '\n'
#define elif else if
#define pow pwr
#define sqrt sqrtt
//#define int long long
#define ll long long
#define y1 YONE
#define free freeee
#define lcm llcm
typedef unsigned long long ull;
using namespace std;
const int N=1e6+5,M=1e6+3;
int a[N],n,k,b[N],p[N],ans;
int32_t main(){
ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL);
cin>>n>>k;
for (int i=1;i<=n-k+1;i++) cin>>b[i];
for (int mask=0;mask<(1<<k);mask++){
if (__builtin_popcount(mask)!=b[1]) continue;
bool ok=true;
for (int j=1;j<=k;j++) p[j]=p[j-1]+bool(mask&(1<<(j-1)));
for (int i=k+1;i<=min(2*k,n);i++){
p[i]=p[i-1];
int s=p[i]-p[i-k];
if (s==b[i-k+1]) continue;
if (s==b[i-k+1]-1) {p[i]++;continue;}
ok=false;break;
}
ans+=ok;
}cout<<ans%M<<endl;
return 0;
}
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