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;
const int mod=1e9+9;
#define ll long long
int valid(int n, int inputSeq[])
{
set<int> st;
for (int i=0; i<n; i++)
{
if (st.find(inputSeq[i])!=st.end()) return 0;
st.insert(inputSeq[i]);
}
int s, cnt(0);
bool can=1;
pair<int, int> mn={INT_MAX, -1};
for (int i=0; i<n; i++) mn=min(mn, {inputSeq[i], i});
if (mn.first>n) return 1;
cnt=mn.first;
s=mn.second;
for (int i=s; i<n; i++) if (inputSeq[i]!=cnt++&&inputSeq[i]<=n) can=0;
for (int i=0; i<s; i++) if (inputSeq[i]!=cnt++&&inputSeq[i]<=n) can=0;
return can;
}
//----------------------
int replacement(int n, int gondolaSeq[], int replacementSeq[])
{
int cnt(0), res(0);
set<pair<int, int>> s;
for (int i=0; i<n; i++) if (gondolaSeq[i]>n) s.insert({gondolaSeq[i], i});
pair<int, int> mn={INT_MAX, -1};
for (int i=0; i<n; i++) if (gondolaSeq[i]<=n) mn=min(mn, {gondolaSeq[i], i});
if (mn.first==INT_MAX) mn={1, 0};
cnt=mn.first-1;
vector<int> p(n);
for (int i=mn.second; i<n; i++) p[i]=(++cnt)>n?cnt-n:cnt;
for (int i=0; i<mn.second; i++) p[i]=(++cnt)>n?cnt-n:cnt;
for (auto [x, y]:s)
{
replacementSeq[res++]=p[y];
while (res+n!=x) replacementSeq[res]=res+n, res++;
}
return res;
}
//----------------------
ll binpow(ll x, ll a)
{
if (a==0) return 1;
if (a==1) return x;
ll tmp=binpow(x, a/2);
if (a%2==0) return (tmp*tmp)%mod;
return (((tmp*tmp)%mod)*x)%mod;
}
int countReplacement(int n, int inputSeq[])
{
if (!valid(n, inputSeq)) return 0;
int sz(n+1);
long long ans=1, l;
set<pair<int, int>> s;
for (int i=0; i<n; i++) if (inputSeq[i]>n) s.insert({inputSeq[i], i});
if ((int)s.size()==n) for (int i=1; i<=n; i++) ans=n;
l=(int)s.size();
for (auto [x, y]:s)
{
ans=(ans*binpow(l, x-sz))%mod;
sz=x+1;
l--;
}
return ans;
}
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