There are n walruses standing in a queue in an airport. They are numbered starting from the queue's tail: the 1-st walrus stands at the end of the queue and the n-th walrus stands at the beginning of the queue. The i-th walrus has the age equal to ai.

The i-th walrus becomes displeased if there's a younger walrus standing in front of him, that is, if exists such j (i < j), that ai > aj. The displeasure of the i-th walrus is equal to the number of walruses between him and the furthest walrus ahead of him, which is younger than the i-th one. That is, the further that young walrus stands from him, the stronger the displeasure is.

The airport manager asked you to count for each of n walruses in the queue his displeasure.

Input

The first line contains an integer n (2 ≤ n ≤ 105) — the number of walruses in the queue. The second line contains integers ai (1 ≤ ai ≤ 109).

Note that some walruses can have the same age but for the displeasure to emerge the walrus that is closer to the head of the queue needs to be strictly younger than the other one.

Output

Print n numbers: if the i-th walrus is pleased with everything, print "-1" (without the quotes). Otherwise, print the i-th walrus's displeasure: the number of other walruses that stand between him and the furthest from him younger walrus.

Examples

Input

6
10 8 5 3 50 45


Output

2 1 0 -1 0 -1 

Input

7
10 4 6 3 2 8 15


Output

4 2 1 0 -1 -1 -1 

Input

5
10 3 1 10 11


Output

1 0 -1 -1 -1 
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.InputMismatchException;
import java.util.StringTokenizer;

public class magic2 {
	public static void main(String[] args) throws Exception {
		FasterScanner sc = new FasterScanner();
		PrintWriter out = new PrintWriter(System.out);
		int N = sc.nextInt();
		int[] array = new int[N];
		int[] small = new int[N];
		for(int a=0;a<N;a++){
			array[a]=sc.nextInt();
		}
		small[N-1]=array[N-1];
		for(int a=N-2;a>=0;a--){
			small[a]=Math.min(small[a+1],array[a]);
		}
		for(int a=0;a<N;a++){
			if(small[a]==array[a]){
				out.print("-1 ");
				continue;
			}
			int low = a+1;
			int high = N-1;
			int mid = 42;
			while(low<high){
				mid = ((low+high)>>1)+((low+high)&1);
				int age = small[mid];
				//System.out.println(a+" "+age+" "+array[mid]+" "+array[a]+" "+low+" "+mid+" "+high);
				if(age<array[a]){
					low=mid;
				}
				else high=mid-1;
			}
			out.print((low-a-1)+" ");
		}
		out.close();
	}


	static class FasterScanner{
		private InputStream stream;
		private byte[] buf = new byte[1024];
		private int curChar;
		private int numChars;
		
		public FasterScanner(){
			stream = System.in;
		}
		int read(){
			if(numChars==-1)
				throw new InputMismatchException();
			if(curChar>=numChars){
				curChar = 0;
				try{
					numChars = stream.read(buf);
				} catch (IOException e){
					throw new InputMismatchException();
				}
				if(numChars <= 0)
					return -1;
			}
			return buf[curChar++];
		}
		
		boolean isSpaceChar(int c){
			return c==' '||c=='\n'||c=='\r'||c=='\t'||c==-1;
		}
		boolean isEndline(int c){
			return c=='\n'||c=='\r'||c==-1;
		}
		int nextInt(){
			return Integer.parseInt(next());
		}
		long nextLong(){
			return Long.parseLong(next());
		}
		double nextDouble(){
			return Double.parseDouble(next());
		}
		String next(){
			int c = read();
			while(isSpaceChar(c))
				c=read();
			StringBuilder res = new StringBuilder();
			do{
				res.appendCodePoint(c);
				c=read();
			} while(!isSpaceChar(c));
			return res.toString();
		}
		String nextLine(){
			int c = read();
			while(isEndline(c))
				c=read();
			StringBuilder res = new StringBuilder();
			do{
				res.appendCodePoint(c);
				c = read();
			}while(!isEndline(c));
			return res.toString();
		}
		
	}
	static class FastScanner {
		BufferedReader br;
		StringTokenizer st;

		public FastScanner(InputStream in) throws Exception {
			br = new BufferedReader(new InputStreamReader(in));
			st = new StringTokenizer(br.readLine().trim());
		}

		public int numTokens() throws Exception {
			if (!st.hasMoreTokens()) {
				st = new StringTokenizer(br.readLine().trim());
				return numTokens();
			}
			return st.countTokens();
		}

		public boolean hasNext() throws Exception {
			if (!st.hasMoreTokens()) {
				st = new StringTokenizer(br.readLine().trim());
				return hasNext();
			}
			return true;
		}

		public String next() throws Exception {
			if (!st.hasMoreTokens()) {
				st = new StringTokenizer(br.readLine().trim());
				return next();
			}
			return st.nextToken();
		}

		public double nextDouble() throws Exception {
			return Double.parseDouble(next());
		}

		public float nextFloat() throws Exception {
			return Float.parseFloat(next());
		}

		public long nextLong() throws Exception {
			return Long.parseLong(next());
		}

		public int nextInt() throws Exception {
			return Integer.parseInt(next());
		}

		public String nextLine() throws Exception {
			return br.readLine();
		}
	}

}
