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 "gondola.h"
#include <bits/stdc++.h>
using namespace std;
int valid(int n, int inputSeq[]){
int t=1;
for(int i=0;i<n;i++){
if(inputSeq[i]<=n){
for(int j=0;j<n;j++){
if(inputSeq[(i+j)%n]<=n){
if((inputSeq[i]+j)%n!=inputSeq[(i+j)%n]%n){
t=0;
}
}
}
break;
}
}
sort(inputSeq,inputSeq+n);
for(int i=0;i<n-1;i++){
if(inputSeq[i]==inputSeq[i+1])t=0;
}
return t;
}
int K[100000],P[250001];
int replacement(int n, int gondolaSeq[], int replacementSeq[]){
int mx=0;
for(int i=0;i<n;i++){
mx=max(mx,gondolaSeq[i]);
}
for(int i=0;i<n;i++){
K[i]=i+1;
}
for(int i=0;i<n;i++){
if(gondolaSeq[i]<=n){
for(int j=0;j<n;j++){
K[(i+j)%n]=(gondolaSeq[i]+j)%n;
}
for(int j=0;j<n;j++){
if(!K[j])K[j]=n;
}
break;
}
}
for(int i=0;i<n;i++){
P[gondolaSeq[i]]=K[i];
}
for(int i=0;i<n;i++){
if(gondolaSeq[i]==mx){
int c=0;
int t=K[i];
for(int j=n+1;j<=mx-1;j++){
if(!P[j]){
replacementSeq[c]=t;
t=j;
}
else{
replacementSeq[c]=P[j];
}
c++;
}
replacementSeq[c]=t;
}
}
return mx-n;
}
long long pw(long long x,int y){
long long a=1;
while(y){
if(y&1)a=a*x%1000000009;
x=x*x%1000000009;
y/=2;
}
return a;
}
int countReplacement(int n, int inputSeq[]){
if(!valid(n,inputSeq))return 0;
long long k;
if(inputSeq[0]<=n)k=1;
else k=n;
int p=n;
for(int i=0;i<n;i++){
if(inputSeq[i]<=p)continue;
k*=pw(n-i,inputSeq[i]-p-1);
k%=1000000009;
p=inputSeq[i];
}
return k;
}
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