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>
using namespace std;
#define ll long long
#define ull unsigned long long
#define pb(e) push_back(e)
#define sv(a) sort(a.begin(),a.end())
#define sa(a,n) sort(a,a+n)
#define mp(a,b) make_pair(a,b)
#define vf first
#define vs second
#define ar array
#define all(x) x.begin(),x.end()
const int inf = 0x3f3f3f3f;
const int mod = 1000000007;
const double PI=3.14159265358979323846264338327950288419716939937510582097494459230;
bool remender(ll a , ll b){return a%b;}
#include "gondola.h"
ll multi(ll x , ll y){
return (x*y)%mod;
}
ll power(ll x , ll y){
x %= mod;
ll res = 1;
while(y > 0){
if(y&1)res=multi(res,x);
y=y>>1;
x = multi(x,x);
}
return res;
}
int valid(int n, int arr[]){
for(int i = 0; i < n; i++){
if(arr[i] <= n){
int cur = arr[i];
int j = i + 1;
j %= n;
while(j != i){
cur = 1 + (cur % n);
if(cur != arr[j] && arr[j] <= n)return 0;
j++;
j %= n;
}
break;
}
}
map<int,int> m;
for(int i = 0; i < n; i++){
m[arr[i]]++;
if(m[arr[i]] == 2)return 0;
}
return 1;
}
int replacement(int n, int arr[], int res[]){
vector<pair<int,int>> v;
for(int i = 0; i < n; i++){
if(arr[i] > n)v.pb(mp(arr[i] , i));
}
int ini[n];
for(int i = 0; i < n; i++){
ini[i] = i + 1;
}
for(int i = 0; i < n; i++){
if(arr[i] <= n){
ini[i] = arr[i];
int j = i + 1;
j %= n;
int cur = 1 + arr[i] % n;
while(j != i){
ini[j] = cur;
cur = 1 + cur % n;
j++;
j %=n;
}
break;
}
}
int cur = 0;
int j = 0;
sv(v);
while(j < (int)v.size()){
while(cur + n + 1 < v[j].vf){
res[cur] = ini[v[j].vs];
ini[v[j].vs] = cur + n + 1;
cur++;
}
res[cur] = ini[v[j].vs];
ini[v[j].vs] = v[j].vf;
cur++;
j++;
}
return cur;
}
int countReplacement(int n, int arr[]){
if(valid(n , arr) == 0)return 0;
ll ans = 1;
vector<pair<ll,int>> v;
for(int i = 0; i < n; i++){
if(arr[i] > n)v.pb(mp(arr[i] , i));
}
sv(v);
ll last = n + 1;
int j = 0;
while(j < (int)v.size()){
ll dif = v[j].vf - last;
ll rem = v.size() - j;
ans *= power(rem , dif);
ans %= mod;
last = v[j].vf + 1;
j++;
}
return ans;
}
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