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 sun.reflect.generics.tree.Tree;

import java.io.*;
import java.util.*;

public class Cf1805C {
    private static InputReader in = new InputReader(System.in);
    private static OutputWriter out = new OutputWriter(System.out);




    private static void solve() throws Exception{
        int n = in.readInt();
        int[] t = new int[n+1];
        for(int i=1; i<=n; ++i){
            t[i] = in.readInt();
        }
        int[] count = new int[n+1];


        for(int i=1; i<=n; ++i){
            int[] temp = new int[n+1];
            int maxCount = 0;
            int maxColor = n+1;
            for(int j=i; j<=n; ++j ) {
                temp[t[j]]++;
                if(temp[t[j]]>maxCount){
                    maxCount = temp[t[j]];
                    maxColor = t[j];
                }
                else if(temp[t[j]]==maxCount){
                    maxColor = Math.min(t[j],maxColor);
                }
                count[maxColor]++;
            }
        }
        for(int i=1; i<=n; ++i){
            out.print(count[i]+" ");
        }
        out.println();




    }



    public static void main(String[] args) throws Exception {
        solve();
        out.close();
    }


    private static class InputReader {
        private InputStream stream;
        private byte[] buffer;
        private int currentIndex;
        private int bytesRead;

        public InputReader(InputStream stream) {
            this.stream = stream;
            buffer = new byte[131072];
        }


        public InputReader(InputStream stream, int bufferSize) {
            this.stream = stream;
            buffer = new byte[bufferSize];
        }


        private int read() throws IOException {
            if (currentIndex >= bytesRead) {
                currentIndex = 0;
                bytesRead = stream.read(buffer);
                if (bytesRead <= 0) {
                    return -1;
                }
            }
            return buffer[currentIndex++];
        }

        public String readString() throws IOException {
            int c = read();
            while (!isPrintable(c)) {
                c = read();
            }
            StringBuilder result = new StringBuilder();
            do {
                result.appendCodePoint(c);
                c = read();
            } while (isPrintable(c));
            return result.toString();
        }

        public int readInt() throws Exception {
            int c = read();
            int sign = 1;
            while (!isPrintable(c)) {
                c = read();
            }
            if (c == '-') {
                sign = -1;
                c = read();
            }
            int result = 0;
            do {
                if ((c < '0') || (c > '9')) {
                    throw new InputMismatchException();
                }
                result *= 10;
                result += (c - '0');
                c = read();
            } while (isPrintable(c));
            return sign * result;
        }

        public long readLong() throws Exception {
            int c = read();
            int sign = 1;
            while (!isPrintable(c)) {
                c = read();
            }
            if (c == '-') {
                sign = -1;
                c = read();
            }
            long result = 0;
            do {
                if ((c < '0') || (c > '9')) {
                    throw new InputMismatchException();
                }
                result *= 10;
                result += (c - '0');
                c = read();
            } while (isPrintable(c));
            return sign * result;
        }

        public double readDouble() throws Exception {
            int c = read();
            int sign = 1;
            while (!isPrintable(c)) {
                c = read();
            }
            if (c == '-') {
                sign = -1;
                c = read();
            }
            boolean fraction = false;
            double multiplier = 1;
            double result = 0;
            do {
                if ((c == 'e') || (c == 'E')) {
                    return sign * result * Math.pow(10, readInt());
                }
                if ((c < '0') || (c > '9')) {
                    if ((c == '.') && (!fraction)) {
                        fraction = true;
                        c = read();
                        continue;
                    }
                    throw new InputMismatchException();
                }
                if (fraction) {
                    multiplier /= 10;
                    result += (c - '0') * multiplier;
                    c = read();
                } else {
                    result *= 10;
                    result += (c - '0');
                    c = read();
                }
            } while (isPrintable(c));
            return sign * result;
        }

        private boolean isPrintable(int c) {
            return ((c > 32) && (c < 127));
        }
    }

    private static class OutputWriter {
        private 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 print(Object... objects) {
            for (int i = 0; i < objects.length; i++) {
                if (i != 0) {
                    writer.print(' ');
                }
                writer.print(objects[i]);
            }
        }

        public void println(Object... objects) {
            print(objects);
            writer.println();
        }

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

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