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>
#define pb push_back
#define all(x) x.begin(),x.end()
using namespace std;
using u64=uint32_t;
const int N = 500'000;
const int LG=18;
const u64 BASE = 31;
int n,lg;
static u64 cash[LG+1][N+1],inv_cash[LG+1][N+1],pw[LG+1][N+1];
void init(int _n, const char s[])
{
n=_n;
while((1<<lg)<=n)
{
lg++;
}
lg--;
for(int i=0;i<=lg;i++)
{
if(i>0)
{
pw[i][1]=pw[i-1][1]*pw[i-1][1];
}
else
{
pw[i][1]=BASE;
}
for(int j=2;j<=n;j++)
{
pw[i][j]=pw[i][j-1]*pw[i][1];
}
}
for(int i=0;i<=lg;i++)
{
for(int j=1;j<=n;j++)
{
cash[i][j]=cash[i][j-1]+pw[i][j]*(s[j-1]-'a');
}
}
for(int i=0;i<n;i++)
{
inv_cash[0][i+1]=s[i]-'a';
}
for(int i=1;i<=lg;i++)
{
for(int j=1;j+(1<<i)-1<=n;j++)
{
inv_cash[i][j]=inv_cash[i-1][j]+pw[lg-i][1]*inv_cash[i-1][j+(1<<(i-1))];
}
}
}
int query(int l, int k)
{
l++;
int r = l+(1<<k)-1;
//out of bound
if(r>n)
{
return 0;
}
return cash[lg-k][r]-cash[lg-k][l-1]==inv_cash[k][l]*pw[lg-k][l];
}
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