This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
#define rc(x) return cout<<x<<endl,0
#define pb push_back
#define mkp make_pair
#define in insert
#define er erase
#define fd find
#define fr first
#define sc second
typedef long long ll;
typedef long double ld;
const ll INF=0x3f3f3f3f3f3f3f3f;
const ll llinf=(1LL<<62);
const int inf=(1<<30);
const int nmax=1e6+50;
const int mod=1e9+7;
using namespace std;
int n,q,f[nmax],pr[nmax],x,i,j;
bitset<nmax>viz;
set<pair<int,int> >s;
set<pair<int,int> >::iterator it;
vector<int>d[nmax];
int main()
{
//freopen("sol.in","r",stdin);
//freopen("sol.out","w",stdout);
//mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
ios_base::sync_with_stdio(false);cin.tie(0);cerr.tie(0);cout.tie(0);
cin>>n>>q;
for(i=1;i<=n;i++)
{
cin>>x;
for(j=x;j<=1e6;j+=x)d[j].pb(x);
s.in(mkp(pr[x],x));
}
for(i=1;i<=1e6;i++)
{
f[i]=inf;
for(j=0;j<(int)d[i].size();j++)viz[d[i][j]]=1;
for(it=s.begin();it!=s.end();it++)
{
if(viz[it->sc])continue;
f[i]=it->fr+1;
break;
}
for(j=0;j<(int)d[i].size();j++)
{
viz[d[i][j]]=0;
s.er(s.fd(mkp(pr[d[i][j]],d[i][j])));
pr[d[i][j]]=f[i];
s.in(mkp(pr[d[i][j]],d[i][j]));
}
}
while(q--)
{
cin>>x;
if(f[x]==inf)cout<<"oo\n";
else cout<<f[x]<<'\n';
}
return 0;
}
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