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 com.sun.org.apache.xml.internal.utils.StringComparable;

import java.io.BufferedReader;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.*;

public class Main {
    public static void main(String[] args) {
//     Test.testing();
        ConsoleIO io = new ConsoleIO();
        new Main(io).solve();
        io.flush();
    }

    ConsoleIO io;

    Main(ConsoleIO io) {
        this.io = io;
    }

    ArrayList<ArrayList<Integer>> gr;
    boolean[] visit;

    class Pair {
        public Pair(int a, int b) {
            this.a = a;
            this.b = b;
        }

        public int a; // index
        public int b; // cost
    }

    class Edge {
        public Edge(int u, int v, int c) {
            this.u = u;
            this.v = v;
            this.c = c;
        }

        public int u;
        public int v;
        public int c;
    }

    long MOD = 1_000_000_007;
    int n, m, k;
    int[][] map;
    int move, change, time;

    public void solve() {
        n = io.readInt();
        int[] l = io.readIntArray();
        int[] res = new int[n+1];
        int[] c = new int[n + 1];

        for(int i = 0;i<n;i++) {
            int max = 0;
            int id = 0;
            for (int j = i; j < n; j++) {
                int t = l[j];
                c[t]++;
                int v = c[t];
                if (v > max || v == max && t < id) {
                    max = v;
                    id = t;
                }
                res[id]++;
            }
            for (int j = 0; j < c.length; j++) c[j] = 0;
        }

        StringBuilder sb = new StringBuilder();
        for(int i = 1;i<res.length;i++){
            if(sb.length()>0)sb.append(' ');
            sb.append(res[i]);
        }
        io.writeLine(sb.toString());
    }

    class Brack{
        public Brack(int d){
            this.dir = d;
        }
        public int dir;
        public Brack left;
        public Brack right;
    }

    long gcd(long a, long b) {
        if (a < b) return gcd(b, a);
        if (b == 0) return a;
        return gcd(b, a % b);
    }
}

class ConsoleIO {
    BufferedReader br;
    PrintWriter out;
    public ConsoleIO(){br = new BufferedReader(new InputStreamReader(System.in));out = new PrintWriter(System.out);}
    public void flush(){this.out.close();}
    public void writeLine(String s) {this.out.println(s);}
    public void writeInt(int a) {this.out.print(a);this.out.print(' ');}
    public void writeWord(String s){
        this.out.print(s);
    }
    public int read(char[] buf, int len){try {return br.read(buf,0,len);}catch (Exception ex){ return -1; }}
    public String readLine() {try {return br.readLine();}catch (Exception ex){ return "";}}
    public long readLong() {
        return Long.parseLong(this.readLine());
    }
    public int readInt() {
        return Integer.parseInt(this.readLine().trim());
    }
    public long[] readLongArray() {
        String[]n=this.readLine().trim().split("\\s+");long[]r=new long[n.length];
        for(int i=0;i<n.length;i++)r[i]=Long.parseLong(n[i]);
        return r;
    }
    public int[] readIntArray() {
        String[]n=this.readLine().trim().split("\\s+");int[]r=new int[n.length];
        for(int i=0;i<n.length;i++)r[i]=Integer.parseInt(n[i]);
        return r;
    }
    public void writeIntArray(int[] a) {
        StringBuilder sb = new StringBuilder();
        for (int i = 0; i < a.length; i++) {if (i > 0) sb.append(' ');sb.append(a[i]);}
        this.writeLine(sb.toString());
    }
}


