#include<bits/stdc++.h>
using namespace std;
/*******  All Required define Pre-Processors and typedef Constants *******/
#define rep(i,n) for(int i=0; i<(n); ++i)
#define all(cont) cont.begin(), cont.end()
#define rall(cont) cont.rbegin(), cont.rend()
#define Dcout(a) cout << setprecision(20) << a << endl
#define ll long long
#define ld long double
#define pii pair<int, int>
#define pll pair<ll, ll>
#define pb push_back
#define eb emplace_back
#define vi vector<int>
#define vll vector<ll>
#define vpi vector<pii>
#define vpll vector<pll>
#define fi first
#define se second
using Graph = vector<vector<ll>>;
const ll INF = (1LL << 60);
const double pi=acos(-1.0);
/******************* debug ********************/
#define debug(var)  do{std::cout << #var << " : ";view(var);}while(0)
#define deb cout << "line : " << __LINE__ << " debug" << endl
template<typename T> void view(T e){cout << e << endl;}
template<typename T> void view(const vector<T>& v){
    for(const auto& e : v) cout << e << " ";
    cout << endl;}
template<typename T> void view(const vector<vector<T> >& vv){
    for(const auto& v : vv){ view(v); }}
/****** Template of some basic operations *****/
struct IoSetup {
    IoSetup() {
        cin.tie(nullptr);
        ios::sync_with_stdio(false);
        cout << fixed << setprecision(10);
        cerr << fixed << setprecision(10);
        }
} iosetup;


template< typename T1, typename T2 >
ostream &operator<<(ostream &os, const pair< T1, T2 >& p) {
    os << p.first << " " << p.second;
    return os;
}

template< typename T1, typename T2 >
istream &operator>>(istream &is, pair< T1, T2 > &p) {
    is >> p.first >> p.second;
    return is;
}

template< typename T >
ostream &operator<<(ostream &os, const vector< T > &v) {
    for(int i = 0; i < (int) v.size(); i++) {
        os << v[i] << (i + 1 != v.size() ? " " : "");
    }
    return os;
}

template< typename T >
istream &operator>>(istream &is, vector< T > &v) {
    for(T &in : v) is >> in;
    return is;
}

template< typename T1, typename T2 >
inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }

template< typename T1, typename T2 >
inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }

template< typename T = ll >
vector< T > make_v(size_t a) {
    return vector< T >(a);
}

template< typename T, typename... Ts >
auto make_v(size_t a, Ts... ts) {
    return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...));
}

template< typename T, typename V >
typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) {
    t = v;
}

template< typename T, typename V >
typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) {
    for(auto &e : t) fill_v(e, v);
}

template< typename F >
struct FixPoint : F {
    FixPoint(F &&f) : F(forward< F >(f)) {}

    template< typename... Args >
    decltype(auto) operator()(Args &&... args) const {
        return F::operator()(*this, forward< Args >(args)...);
    }
};

template< typename F >
inline decltype(auto) MFP(F &&f) {
    return FixPoint< F >{forward< F >(f)};
}
/*******************************************************/
/******************** Start coding ! *******************/

int main(){
    int n; cin >> n;
    if(n==1) {
        cout << 0 << endl;
        return 0;
    }

    vector<ll> a(n),b(n);
    for(int i=0; i<n; i++) cin >> a[i];

    for(int i=0; i<n; i++){
        b[i] = (a[i] - (i+1));
    }

    sort(all(b));

    ll x1, x2;
    x1 = b[n/2];
    x2 = b[n/2-1];

    if(n%2==1){
        ll ans = 0;
        rep(i,n){
            ans += (ll)(abs(a[i]-(i+1+x1)));
        }

        cout << ans << endl;
    }else{
        ll x = x1+x2;
        ll v1,v2;
        if(x%2==0){
            v1 = x/2;
            v2 = x/2;
        }else{
            v1 = x/2;
            v2 = x/2+1;
        }
        ll ans1 = 0;
        rep(i,n){
            ans1 += (ll)(abs(a[i] - (i+1+v1)));
        }
        ll ans2 = 0;
        rep(i,n){
            ans2 += (ll)(abs(a[i] - (i+1+v2)));
        }

        cout << (ll)(min(ans1,ans2)) << endl;
    }
}



Measured memory_bytes: 6376