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<iostream>
#include<vector>
#include<algorithm>
#include<utility>
#include "gondola.h"
#define MAXN 1000000010
#define MOD 1000000009
using namespace std;
bool used[MAXN];
int valid(int n, int inputSeq[])
{
for(long long i=0;i<n;i++)
{
if(used[inputSeq[i]])return 0;
used[inputSeq[i]]=1;
if(inputSeq[i]<=n)
{
long long prev=i-1,valp=inputSeq[i]-1;
if(prev<0)prev=n-1;
if(valp<1)valp=n;
long long next=i+1,valn=inputSeq[i]+1;
if(next>=n)next=0;
if(valn>n)valn=1;
if(inputSeq[prev]<=n && inputSeq[prev]!=valp)return 0;
if(inputSeq[next]<=n && inputSeq[next]!=valn)return 0;
}
}
return 1;
}
//----------------------
vector<pair<long long,long long>> order;
int replacement(int n, int gondolaSeq[], int replacementSeq[])
{
order.clear();
long long ans=0,pos=-1;
for(long long i=0;i<n;i++)if(gondolaSeq[i]<=n){pos=i;break;}
if(pos==-1)for(long long i=0;i<n;i++)order.push_back({gondolaSeq[i],i+1});
else
{
long long curr=gondolaSeq[pos];
for(long long i=pos-1;i>=0;i--)
{
curr--;
if(curr==0)curr=n;
if(gondolaSeq[i]>n)order.push_back({gondolaSeq[i],curr});
gondolaSeq[i]=curr;
}
for(long long i=n-1;i>pos;i--)
{
curr--;
if(curr==0)curr=n;
if(gondolaSeq[i]>n)order.push_back({gondolaSeq[i],curr});
gondolaSeq[i]=curr;
}
}
sort(order.begin(),order.end());
long long last=n;
for(long long i=0;i<(long long)order.size();i++)
{
long long ind=order[i].first;
long long frst=order[i].second;
replacementSeq[ans++]=frst;
for(long long j=last+2;j<=ind;j++)
{
replacementSeq[ans++]=j-1;
}
last=ind;
}
return ans;
}
//----------------------
long long power(long long x, long long n)
{
if(n==0)return 1;
if(n==1)return x;
long long half=power(x,n/2);
long long ne=(half*half)%MOD;
if(n&1){ne*=x;ne%=MOD;}
return ne%MOD;
}
int countReplacement(int n, int inputSeq[])
{
order.clear();
if(!valid(n,inputSeq))return 0;
long long pos=-1;
for(long long i=0;i<n;i++)if(inputSeq[i]<=n){pos=i;break;}
if(pos==-1)for(long long i=0;i<n;i++)order.push_back({inputSeq[i],i+1});
else
{
long long curr=inputSeq[pos];
for(long long i=pos-1;i>=0;i--)
{
curr--;
if(curr==0)curr=n;
if(inputSeq[i]>n)order.push_back({inputSeq[i],curr});
inputSeq[i]=curr;
}
for(long long i=n-1;i>pos;i--)
{
curr--;
if(curr==0)curr=n;
if(inputSeq[i]>n)order.push_back({inputSeq[i],curr});
inputSeq[i]=curr;
}
}
if(order.size()==0)return 1;
sort(order.begin(),order.end());
long long ans=1;
if(pos==-1)ans=n;
long long last=n;
for(long long i=0;i<(long long)order.size();i++)
{
long long ind=order[i].first;
long long use=power((long long)order.size()-i,ind-last-1)%MOD;
ans*=use;
ans%=MOD;
last=ind;
}
return (int)ans;
}
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