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;
typedef long long ll;
#define F first
#define S second
const ll mod=1e9+7;
ll qpow(ll xf, ll yf){
if(yf==0)return 1;
if(yf&1)return (qpow(xf, yf-1)*xf)%mod;
return qpow((xf*xf)%mod, yf/2);
}
int valid(int n, int a[]){
map<int, int>m;
int c=0;
for(int i=0; i<n; i++){
if(m[a[i]]){
return 0;
}
m[a[i]]=1;
if(a[i]<=n){
if(c==0){
c=(a[i]-i+n-1)%n+1;
}
else if((a[i]-i+n-1)%n+1!=c){
return 0;
}
}
}
return 1;
}
//----------------------
int replacement(int n, int a[], int replacementSeq[]){
vector<pair<int, int>> v;
int c=0;
for(int i=0; i<n; i++){
if(a[i]<=n)c=(a[i]-i+n-1)%n+1;
}
if(c==0){
for(int i=0; i<n; i++){
v.push_back({a[i], i+1});
}
}
else{
for(int i=0; i<n; i++){
v.push_back({a[i], (c+i+1)%n});
}
}
sort(v.begin(), v.end());
c=n+1;
for(int i=0; i<n; i++){
while(v[i].F>v[i].S){
replacementSeq[c-n-1]=v[i].S;
v[i].S=c;
c++;
}
}
return c-n-1;
}
//----------------------
int countReplacement(int n, int a[]){
if(!valid(n, a))return 0;
vector<ll> v;
ll c=n+1, c1=0;
for(int i=0; i<n; i++){
if(a[i]>n)v.push_back(a[i]);
}
sort(v.begin(), v.end());
c1=v.size();
ll r=1;
for(int i=0; i<c1; i++){
r=(r*qpow(c1-i, v[i]-c));
c=v[i]+1;
}
return r;
}
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