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.awt.List;

import java.io.BufferedReader;
import java.io.File;
import java.io.FileNotFoundException;
import java.io.FileReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.math.BigDecimal;
import java.math.BigInteger;
import java.text.DecimalFormat;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Collections;
import java.util.Comparator;
import java.util.HashMap;
import java.util.HashSet;
import java.util.LinkedHashMap;
import java.util.LinkedList;
import java.util.Map;
import java.util.Map.Entry;
import java.util.Queue;
import java.util.Scanner;
import java.util.Set;
import java.util.Stack;
import java.util.StringTokenizer;
import java.util.TreeMap;
import java.util.Vector;
 
 
public class Main {
    
	
	public static void main(String[] args) {
		  	FastScanner sc = new FastScanner();
			PrintWriter out = new PrintWriter(System.out);
			int n =sc.nextInt();
			int a[]=new int[n];
			for(int i=0;i<n;i++)
			    a[i]=sc.nextInt();
			int ans[]=new int[5000+5];
			for(int i=0;i<n;i++){
			    int mx =-1;int num=Integer.MAX_VALUE;
			    int cnt[]=new int[n+3];
			    for(int j=i;j<n;j++){
				cnt[a[j]]++;
				
				if(cnt[a[j]]>mx){
				    mx=cnt[a[j]];
				    num=a[j];
				}
				if(cnt[a[j]]==mx)num=Math.min(num, a[j]);
				    
				ans[num]++;
				
			    }
			    
			}
			for(int i=1;i<=n;i++)
			    out.print(ans[i]+" ");
			out.close();
		
	}
	
	
	

	
	
	
	

	
	
	
	

			
	
		
	
	
	
		

			

		

	
	

	

	
	
	
	
	static void generate(int[] p, int L, int R) {
		  if (L == R) {
			  //the permutation is here ya omar(base case)
		  
		  }else { 
		    for (int i = L; i <= R; i++) {
		    	int tmp = p[L]; p[L] = p[i]; p[i] = tmp;//swap
		      generate(p, L+1, R);//recurse 
		      tmp = p[L]; p[L] = p[i]; p[i] = tmp;//unswap

		    }
		  }
		}

















































	
}
		 


	
	
	
	











	
 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
class FastScanner {
 
 
 
 
    BufferedReader br;
    StringTokenizer st;
 
    public FastScanner() {
        br = new BufferedReader(new InputStreamReader(System.in));
    }
 
    public FastScanner(String s) {
        try {
            br = new BufferedReader(new FileReader(s));
        } catch (FileNotFoundException e) {
            e.printStackTrace();
        }
    }
 
    String nextToken() {
        while (st == null || !st.hasMoreElements()) {
            try {
 
                st = new StringTokenizer(br.readLine());
            } catch (IOException e) {
                e.printStackTrace();
            }
        }
        return st.nextToken();
    }
 
    int nextInt() {
        return Integer.parseInt(nextToken());
    }
 
    long nextLong() {
        return Long.parseLong(nextToken());
    }
 
    double nextDouble() {
        return Double.parseDouble(nextToken());
    }
}