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>
#pragma GCC optimize("Ofast")
using namespace std;
#define F first
#define S second
#define ll long long
// #define int ll
#define pb push_back
#define sz(s) (int)s.size()
#define pii pair<int,int>
#define all(v) v.begin(),v.end()
#define mem(a,i) memset(a,i,sizeof(a))
#define in insert
#define lb lower_bound
#define ub upper_bound
#define y1 yy
#define ppb pop_back
#define ull unsigned ll
const int MAX=3e6+55;
const int inf=1e9;
const int N=2e5;
const int C=331;
const int C1=431;
const int mod=1e9+9;
const int mod1=1e9+9;
#include "gondola.h"
int pos[MAX];
int valid(int n, int a[])
{
int mn=0;
for(int i=0;i<n;i++){
if(a[i]<a[mn])mn=i;
// pos[a[i]]=i;
}
vector<int> v;
for(int i=mn;i<n;i++){
if(a[i]<=n){
v.pb(a[i]);
pos[a[i]]=i-mn;
}
}
for(int i=0;i<mn;i++){
if(a[i]<=n){
v.pb(a[i]);
pos[a[i]]=n-mn+i;
}
}
for(int i=1;i<sz(v);i++){
if(v[i]<=v[i-1]||v[i]-v[i-1]!=pos[v[i]]-pos[v[i-1]])return 0;
}
sort(a,a+n);
for(int i=1;i<n;i++){
if(a[i]==a[i-1])return 0;
}
return 1;
}
int replacement(int n, int a[], int q[])
{
vector<pii> v;
bool ok=0;
for(int i=0;i<n;i++){
if(a[i]<=n){
ok=1;
int st=i-a[i]+1;
if(st<0)st+=n;
// cout<<st<<"\n";
for(int j=st;j<n;j++)if(a[j]>n)v.pb({a[j],j-st+1});
for(int j=0;j<st;j++)if(a[j]>n)v.pb({a[j],n-st+j+1});
break;
}
}
if(!ok){
for(int i=0;i<n;i++){
v.pb({a[i],i+1});
}
}
sort(all(v));
int pos=0;
int r=n+1;
// cout<<sz(v)<<"\n";
for(int i=0;i<sz(v);i++){
q[pos++]=v[i].S;
// cout<<r<<" "<<v[i].F;
while(r<v[i].F){
q[pos++]=r++;
}
r++;
}
return pos;
}
int binpow(int a,int n){
if(n==0)return 1;
if(n%2==1)return a*1ll*binpow(a,n-1)%mod;
int k=binpow(a,n/2);
return k*1ll*k%mod;
}
//----------------------
int countReplacement(int n, int a[])
{
ll ans=1;
if(!valid(n,a))return 0;
vector<int> v;
for(int i=0;i<n;i++){
if(a[i]>n){
v.pb(a[i]);
}
}
sort(all(v));
int r=n+1;
for(int i=0;i<sz(v);i++){
// cout<<sz(v)-i<<" "<<v[i]-r<<" "<<binpow(sz(v)-i,v[i]-r)<<"\n";
ans=ans*1ll*binpow(sz(v)-i,v[i]-r)%mod;
r=v[i]+1;
}
if(sz(v)==n)ans=ans*1ll*n%mod;
return ans;
}
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