import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.Arrays;
import java.io.BufferedWriter;
import java.io.Writer;
import java.io.OutputStreamWriter;
import java.util.InputMismatchException;
import java.io.IOException;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 */
class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        InputReader in = new InputReader(inputStream);
        OutputWriter out = new OutputWriter(outputStream);
        Task3 solver = new Task3();
        solver.solve(1, in, out);
        out.close();
    }

    static class Task3 {
        public void solve(int testNumber, InputReader in, OutputWriter out) {
            int N = in.nextInt();
            long a[] = in.nextLongArray(N);

            //Remove the incrementation from given array(the +1,+2,+3 part)
            for (int i = 0; i < N; i++) {
                a[i] -= (i + 1);
            }

            //Sort the array
            Arrays.sort(a);
            long sumFromLeftSide[] = Arrays.copyOf(a, N);  //Summation of array a from left side
            for (int i = 1; i < N; i++) {
                sumFromLeftSide[i] += sumFromLeftSide[i - 1];
            }
            long sumFromRightSide[] = Arrays.copyOf(a, N);  //Summation of array a from right side
            for (int i = N - 2; i >= 0; i--) {
                sumFromRightSide[i] += sumFromRightSide[i + 1];
            }

            //Divide the array into two parts and calculate minimum possible value of eqn A_1 - (b+1),  A_2 - (b+2)..
            long minAns = Long.MAX_VALUE;
            for (int i = 0; i < N; i++) {
                long left = ((i + 1) * a[i]) - sumFromLeftSide[i];
                long right = sumFromRightSide[i] - ((N - i) * a[i]);
                minAns = Math.min(Math.abs(left + right), minAns);
            }
            out.println(minAns);
        }

    }

    static class OutputWriter {
        private final PrintWriter writer;

        public OutputWriter(OutputStream outputStream) {
            writer = new PrintWriter(new BufferedWriter(new OutputStreamWriter(outputStream)));
        }

        public OutputWriter(Writer writer) {
            this.writer = new PrintWriter(writer);
        }

        public void close() {
            writer.close();
        }

        public void println(long i) {
            writer.println(i);
        }

    }

    static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private InputReader.SpaceCharFilter filter;

        public InputReader(InputStream stream) {
            this.stream = stream;
        }

        public int read() {
            if (numChars == -1) {
                throw new InputMismatchException();
            }
            if (curChar >= numChars) {
                curChar = 0;
                try {
                    numChars = stream.read(buf);
                } catch (IOException e) {
                    throw new InputMismatchException();
                }
                if (numChars <= 0) {
                    return -1;
                }
            }
            return buf[curChar++];
        }

        public int nextInt() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9') {
                    throw new InputMismatchException();
                }
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public long nextLong() {
            int c = read();
            while (isSpaceChar(c)) {
                c = read();
            }
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            long res = 0;
            do {
                if (c < '0' || c > '9') {
                    throw new InputMismatchException();
                }
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }

        public boolean isSpaceChar(int c) {
            if (filter != null) {
                return filter.isSpaceChar(c);
            }
            return isWhitespace(c);
        }

        public static boolean isWhitespace(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }

        public long[] nextLongArray(int n) {
            long[] array = new long[n];
            for (int i = 0; i < n; ++i) array[i] = nextLong();
            return array;
        }

        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);

        }

    }
}



Measured memory_bytes: 27392