#include "gondola.h"
#include <bits/stdc++.h>
using namespace std;
set<int> existe;
int valid(int n, int inputSeq[])
{
int valido = 1, inicio = -1, valor = INT_MAX;
for(int i = 0; i < n; ++i){
if(inputSeq[i] <= n && inputSeq[i] < valor){
inicio = i;
valor = inputSeq[i];
}
if(existe.count(inputSeq[i]) != 0){
valido = 0;
}
existe.insert(inputSeq[i]);
}
if(inicio != -1){
valor++;
for(int i = inicio + 1; i < n; ++i){
if(inputSeq[i] <= n && inputSeq[i] != valor){
valido = 0;
}
valor++;
}
for(int i = 0; i < inicio; ++i){
if(inputSeq[i] <= n && inputSeq[i] != valor){
valido = 0;
}
valor++;
}
}
return valido;
}
//----------------------
struct dato{
int original, valor;
};
dato arre[100002];
bool compara(dato a, dato b){
if(a.valor < b.valor){
return true;
}
return false;
}
set<int> ocupe;
int replacement(int n, int gondolaSeq[], int replacementSeq[])
{
int ind = 0, cont = 0, ini = -1, mayor = INT_MAX;
for(int i = 0; i < n; ++i){
if(gondolaSeq[i] <= n && gondolaSeq[i] < mayor){
mayor = gondolaSeq[i];
ini = i;
}
ocupe.insert(gondolaSeq[i]);
}
if(ini != -1){
for(int i = ini; i < n; ++i){
arre[i].original = mayor;
ocupe.insert(mayor);
arre[i].valor = gondolaSeq[i];
mayor++;
}
for(int i = 0; i < ini; ++i){
arre[i].original = mayor;
ocupe.insert(mayor);
arre[i].valor = gondolaSeq[i];
mayor++;
}
mayor = gondolaSeq[ini] - 1;
for(int i = ini - 1; i >= 0; --i){
if(mayor > 0){
arre[i].original = mayor;
ocupe.insert(mayor);
}
mayor--;
}
}else{
mayor = 1;
for(int i = 0; i < n; ++i){
arre[i].original = mayor;
ocupe.insert(mayor);
arre[i].valor = gondolaSeq[i];
mayor++;
}
}
sort(arre, arre + n, compara);
for(int i = 0; i < n; ++i){
while(arre[i].original < arre[i].valor){
replacementSeq[ind] = arre[i].original;
ind++;
cont++;
while(arre[i].original < arre[i].valor && ocupe.count(arre[i].original) == 1){
arre[i].original++;
}
}
}
return cont;
}
//----------------------
bool fijo[250002];
long long int acumulado[250002];
long long int original[250002];
long long int aux, pos = -1, res = 1, suma;
int countReplacement(int n, int inputSeq[])
{
for(int i = 0; i < n; ++i){
if(inputSeq[i] <= n){
aux = inputSeq[i];
pos = i;
break;
}
}
if(pos == -1){
aux = 1;
for(int i = 0; i < n; ++i){
original[i] = aux;
aux++;
}
res*= n;
res%= 1000000009;
}else{
while(aux > 1){
aux--;
pos--;
if(pos == -1){
pos = n - 1;
}
}
for(int i = pos; i < n; ++i){
original[i] = aux;
aux++;
}
for(int i = 0; i < pos; ++i){
original[i] = aux;
aux++;
}
}
for(int i = 0; i < n; ++i){
fijo[inputSeq[i]] = true;
fijo[original[i]] = true;
acumulado[original[i]]++;
acumulado[inputSeq[i] + 1]--;
}
for(int i = 1; i <= 250000; ++i){
suma+= acumulado[i];
if(!fijo[i]){
if(suma > 0){
res*= suma;
}
res%= 1000000009;
}
}
return res;
}
