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> //:3
using namespace std;
typedef long long ll;
#define all(a) (a).begin(), (a).end()
#define ff first
#define ss second
#define pb push_back
#define mp make_pair
#define rc(s) return cout<<s,0
#define pi pair <int, int>
#define sz(x) (int)((x).size())
#include "gondola.h"
const int dx[] = {0, 1, 0, -1};
const int dy[] = {1, 0, -1, 0};
const ll inf = 2e9;
const ll mod = 1e9 + 9;
const int N = 2e5 + 11;
const ll INF64 = 3e18 + 1;
const double eps = 1e-14;
const double PI = acos(-1);
//ifstream in(".in");
//ofstream out(".out");
int a[N];
ll poww(ll x, ll p){
ll ans = 1;
while(p){
if(p % 2)ans*= x, ans %= mod;
x = x*x % mod;
p /= 2;
}
return (ans + mod) % mod;
}
int valid(int n, int x[]){
ll j = -1;
for(int i = 0; i < n; i++){
a[i] = x[i] - 1;
if(a[i] >= n)continue;
j = i;
}
for(int i = 0; i < n; i++){
if(i == j)continue;
ll diff = j - i;
ll val = (a[j] - diff + n) % n;
if(a[i] < n && a[i] != val)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 x[], int y[]){
vector<pi>t;
int j = -1;
for(int i = 0; i < n; i++){
if(x[i] > n){
t.push_back({x[i], i});
}else j = i;
}
if(sz(t) == n)x[0] = 1;
for(int i = 0; i < n; i++){
if(i < j){
int val = x[j] + (i - j);
if(val > n)val -= n;
x[i] = val;
}else{
int val = x[j] - (j - i);
if(val < 1)val += n;
x[i] = val;
}
}
sort(all(t));
vector<ll>ans;
ll k = n;
for(int i = 0; i < sz(t); i++){
int num = t[i].ff, idx = t[i].ss;
ans.push_back(x[idx]);
for(int j = k + 1; j < num; j++)ans.push_back(j);
k = num;
}
for(int i = 0; i < sz(ans); i++)y[i] = ans[i];
return sz(ans);
}
int countReplacement(int n, int x[]){
bool X = valid(n, x);
if(!X)return 0;
ll ans = 1;
vector<ll>t;
for(int i = 1; i < n; i++){
if(x[i] > n)t.push_back(x[i]);
}
sort(all(t));
ll prev = n;
for(int i = 0; i < sz(t); i++){
ll pozitiiDisponibile = sz(t) - i;
ll numereDisponibile = t[i] - 1 - prev;
ans = (ans * poww(pozitiiDisponibile, numereDisponibile)) % mod;
ans = (ans + mod) % mod;
prev = t[i];
}
if(sz(t) == n){
ans = (ans * n) % mod;
ans = (ans + mod) % mod;
}
return ans;
}
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