Let's denote a function 

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You are given an array a consisting of n integers. You have to calculate the sum of d(ai, aj) over all pairs (i, j) such that 1 ≤ i ≤ j ≤ n.

Input

The first line contains one integer n (1 ≤ n ≤ 200000) — the number of elements in a.

The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 109) — elements of the array. 

Output

Print one integer — the sum of d(ai, aj) over all pairs (i, j) such that 1 ≤ i ≤ j ≤ n.

Examples

Input

5
1 2 3 1 3


Output

4


Input

4
6 6 5 5


Output

0


Input

4
6 6 4 4


Output

-8

Note

In the first example:

  1. d(a1, a2) = 0; 
  2. d(a1, a3) = 2; 
  3. d(a1, a4) = 0; 
  4. d(a1, a5) = 2; 
  5. d(a2, a3) = 0; 
  6. d(a2, a4) = 0; 
  7. d(a2, a5) = 0; 
  8. d(a3, a4) = - 2; 
  9. d(a3, a5) = 0; 
  10. d(a4, a5) = 2. 
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.io.FilterInputStream;
import java.io.BufferedInputStream;
import java.math.BigInteger;
import java.util.HashMap;
import java.io.InputStream;

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

    static class DAlmostDifference {
        public void solve(int testNumber, ScanReader in, PrintWriter out) {

            int n = in.scanInt();
            BigInteger ans = BigInteger.valueOf(0);
            long arr[] = new long[n];
            in.scanLong(arr);

            long sum = 0;
            HashMap<Long, Integer> hashMap = new HashMap<>();


            for (int i = 0; i < n; i++) {
                long y = arr[i];
                //y y-1 y+1

                long c1 = hashMap.getOrDefault(y, 0);
                long c2 = hashMap.getOrDefault(y - 1, 0);
                long c3 = hashMap.getOrDefault(y + 1, 0);


                ans = ans.add(BigInteger.valueOf(y * ((i) - (c1 + c2 + c3))));

                ans = ans.subtract(BigInteger.valueOf(sum));
                ans = ans.add(BigInteger.valueOf(y * c1));
                ans = ans.add(BigInteger.valueOf((y - 1) * c2));
                ans = ans.add(BigInteger.valueOf((y + 1) * c3));


                hashMap.put(y, hashMap.getOrDefault(y, 0) + 1);
                sum += y;


            }
            out.println(ans.toString());


        }

    }

    static class ScanReader {
        private byte[] buf = new byte[4 * 1024];
        private int INDEX;
        private BufferedInputStream in;
        private int TOTAL;

        public ScanReader(InputStream inputStream) {
            in = new BufferedInputStream(inputStream);
        }

        private int scan() {
            if (INDEX >= TOTAL) {
                INDEX = 0;
                try {
                    TOTAL = in.read(buf);
                } catch (Exception e) {
                    e.printStackTrace();
                }
                if (TOTAL <= 0) return -1;
            }
            return buf[INDEX++];
        }

        public int scanInt() {
            int I = 0;
            int n = scan();
            while (isWhiteSpace(n)) n = scan();
            int neg = 1;
            if (n == '-') {
                neg = -1;
                n = scan();
            }
            while (!isWhiteSpace(n)) {
                if (n >= '0' && n <= '9') {
                    I *= 10;
                    I += n - '0';
                    n = scan();
                }
            }
            return neg * I;
        }

        private boolean isWhiteSpace(int n) {
            if (n == ' ' || n == '\n' || n == '\r' || n == '\t' || n == -1) return true;
            else return false;
        }

        public long scanLong() {
            long I = 0;
            int n = scan();
            while (isWhiteSpace(n)) n = scan();
            int neg = 1;
            if (n == '-') {
                neg = -1;
                n = scan();
            }
            while (!isWhiteSpace(n)) {
                if (n >= '0' && n <= '9') {
                    I *= 10;
                    I += n - '0';
                    n = scan();
                }
            }
            return neg * I;
        }

        public void scanLong(long[] A) {
            for (int i = 0; i < A.length; i++) A[i] = scanLong();
        }

    }
}

