Bear Limak has n colored balls, arranged in one long row. Balls are numbered 1 through n, from left to right. There are n possible colors, also numbered 1 through n. The i-th ball has color ti.

For a fixed interval (set of consecutive elements) of balls we can define a dominant color. It's a color occurring the biggest number of times in the interval. In case of a tie between some colors, the one with the smallest number (index) is chosen as dominant.

There are <image> non-empty intervals in total. For each color, your task is to count the number of intervals in which this color is dominant.

Input

The first line of the input contains a single integer n (1 ≤ n ≤ 5000) — the number of balls.

The second line contains n integers t1, t2, ..., tn (1 ≤ ti ≤ n) where ti is the color of the i-th ball.

Output

Print n integers. The i-th of them should be equal to the number of intervals where i is a dominant color.

Examples

Input

4
1 2 1 2


Output

7 3 0 0 


Input

3
1 1 1


Output

6 0 0 

Note

In the first sample, color 2 is dominant in three intervals:

  * An interval [2, 2] contains one ball. This ball's color is 2 so it's clearly a dominant color. 
  * An interval [4, 4] contains one ball, with color 2 again. 
  * An interval [2, 4] contains two balls of color 2 and one ball of color 1. 



There are 7 more intervals and color 1 is dominant in all of them.
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintWriter;
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.File;
import java.io.FileNotFoundException;
import java.util.StringTokenizer;
import java.io.Writer;
import java.io.BufferedReader;
import java.io.FileReader;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 *
 * @author zodiacLeo
 */
public class Main {
    public static void main(String[] args) {
        InputStream inputStream = System.in;
        OutputStream outputStream = System.out;
        FastScanner in = new FastScanner(inputStream);
        FastPrinter out = new FastPrinter(outputStream);
        BearandColors solver = new BearandColors();
        solver.solve(1, in, out);
        out.close();
    }
    
    static class BearandColors {
        private int N;
        private int[] balls;
        
        public void solve(int testNumber, FastScanner in, FastPrinter out) {
            N = in.nextInt();
            balls = new int[N + 1];
            
            for (int i = 1; i <= N; i++) {
                balls[i] = in.nextInt();
            }
            
            int[] result = new int[N + 1];
            for (int s = 1; s <= N; s++) {
                int color1 = balls[s];
                
                int best = 0;
                int[] count = new int[N + 1];
                for (int e = s; e <= N; e++) {
                    int color2 = balls[e];
                    count[color2]++;
                    if (best == count[color2]) {
                        color1 = Math.min(color1, color2);
                    }
                    if (best < count[color2]) {
                        best = count[color2];
                        color1 = color2;
                    }
                    result[color1]++;
                }
            }
            
            
            StringBuilder sb = new StringBuilder();
            for (int i = 1; i <= N; i++) {
                sb.append(result[i] + " ");
            }
            out.println(sb);
        }
        
    }
    
    static class FastPrinter extends PrintWriter {
        public FastPrinter(OutputStream out) {
            super(out);
        }
        
        public FastPrinter(Writer out) {
            super(out);
        }
        
    }
    
    static class FastScanner {
        public BufferedReader br;
        public StringTokenizer st;
        
        public FastScanner(InputStream is) {
            br = new BufferedReader(new InputStreamReader(is));
        }
        
        public FastScanner(File f) {
            try {
                br = new BufferedReader(new FileReader(f));
            } catch (FileNotFoundException e) {
                e.printStackTrace();
            }
        }
        
        public String next() {
            while (st == null || !st.hasMoreElements()) {
                String s = null;
                try {
                    s = br.readLine();
                } catch (IOException e) {
                    e.printStackTrace();
                }
                if (s == null) {
                    return null;
                }
                st = new StringTokenizer(s);
            }
            return st.nextToken();
        }
        
        public int nextInt() {
            return Integer.parseInt(next());
        }
        
    }
}

