using System;
using System.Linq;
using System.Text.RegularExpressions;
using System.Collections.Generic;
using static program.Input;
using static program.MyMath;
using static System.Console;

namespace program {
  class Program {
    static string alp = "abcdefghijklmnopqrstuvwxyz";
    static string Alp = "ABCDEFGHIJKLMNOPQRSTUVWXYZ";
    static long MOD = 1000000007;
    static void Main()
    {
      var n = ScanLong();
      var a = ScanLongArray();
      long sum = 0;
      for(int i=0; i<n; i++)
        a[i] -= (i+1);
      Array.Sort(a);
      long mid = n%2 ==0 ? (a[n/2]+a[(n-1)/2])/2 : a[n/2];
      WriteLine(a.Select(_=>Math.Abs(_ - mid)).Sum());
    }
  }
  
  static class Input {
    static public int ScanInt() { return int.Parse(Console.ReadLine()); }
    static public uint ScanUint() { return uint.Parse(Console.ReadLine()); }
    static public double ScanDouble() { return double.Parse(Console.ReadLine()); }
    static public long ScanLong() { return long.Parse(Console.ReadLine()); }
    static public ulong ScanUlong() { return ulong.Parse(Console.ReadLine()); }
    static public int[] ScanIntArray() { return Console.ReadLine().Split().Select(x => int.Parse(x)).ToArray(); }
    static public uint[] ScanUintArray() { return Console.ReadLine().Split().Select(x => uint.Parse(x)).ToArray(); }
    static public double[] ScanDoubleArray() { return Console.ReadLine().Split().Select(x => double.Parse(x)).ToArray(); }
    static public long[] ScanLongArray() { return Console.ReadLine().Split().Select(x => long.Parse(x)).ToArray(); }
    static public ulong[] ScanUlongArray() { return Console.ReadLine().Split().Select(x => ulong.Parse(x)).ToArray(); }

    static public string ScanStr() { return Console.ReadLine(); }
    static public string[] ScanStrArray() { return ScanStr().Split(); }
    static public string RegaxReplace(this string arg1, string pattern, string replacement) { return Regex.Replace(arg1, pattern, replacement); }
    static public string Join<T>(this IEnumerable<T> source, string separator) { return string.Join(separator, source); }
  }
  
  static class MyMath {
    static public IEnumerable<int> PrimeFactors(this int n)
    {
      int tmp = n;
      for(int i=2; i*i <= n; i++) {
        while(tmp%i==0){
          tmp /= i;
          yield return i;
        }
      }
      if(tmp != 1) yield return tmp;
    }
    static public IEnumerable<long> PrimeFactors(this long n)
    {
      var tmp = n;
      for(long i=2; i*i <= n; i++) {
        while(tmp%i==0){
          tmp /= i;
          yield return i;
        }
      }
      if(tmp != 1) yield return tmp;
    }
    static public int Digit(this int n, int d){ if(d<0) return 0; return (n%(int)Math.Pow(10,d+1)) / (int)Math.Pow(10,d); }
  	static public int Length(this int n) { if(n<0) return 0; return (int)Math.Log10(n)+1; }
    static public int Top(this int n) { return n.Digit(n.Length()-1); }
    public static bool isPrime(this int p){
      if(p<=1) return false;
      for(int i=2; i*i<=p; i++)
        if(p%i==0) return false;
      return true;
    }
    public static bool isPrime(this long p){
      if(p<=1) return false;
      for(long i=2; i*i<=p; i++)
        if(p%i==0) return false;
      return true;
    }
    public static int GCD(int a, int b) {
        Func<int, int, int> gcd = null;
        gcd = (x, y) => y == 0 ? x : gcd(y, x % y);
        return a > b ? gcd(a, b) : gcd(b, a);
    }
    public static long GCD(long a, long b) {
        Func<long, long, long> gcd = null;
        gcd = (x, y) => y == 0 ? x : gcd(y, x % y);
        return a > b ? gcd(a, b) : gcd(b, a);
    }
    public static ulong extGCD(ulong a, ulong b, ref ulong x, ref ulong y) {
      if(b==0) {
        x=1; 
        y=0;
        return a;
      }
      var d = extGCD(b, a%b, ref y, ref x);
      y -= a/b *x;
      return d;
    }
    public static int LCM(int a, int b) { return a * b / GCD(a, b); }
    public static long LCM(long a, long b) { return a * b / GCD(a, b); }
    public static long Inv(this long a, long m = 1000000007) {
      long b = m, u = 1, v = 0;
      while (b!=0) {
        long t = a / b;
        a -= t * b;
        swap(ref a, ref b);
        u -= t * v;
        swap(ref u, ref v);
      }
      u %= m; 
      if (u < 0) u += m;
      return u;
	}
    private static void swap(ref long a, ref long b){
        var t = a;
        a = b;
        b = t;
    }
  }
}


Measured memory_bytes: 32516