Problem: According to an old legeng, a long time ago Ankh-Morpork residents did something wrong to miss Fortune, and she cursed them. She said that at some time n snacks of distinct sizes will fall on the city, and the residents should build a Snacktower of them by placing snacks one on another. Of course, big snacks should be at the bottom of the tower, while small snacks should be at the top.

Years passed, and once different snacks started to fall onto the city, and the residents began to build the Snacktower.

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However, they faced some troubles. Each day exactly one snack fell onto the city, but their order was strange. So, at some days the residents weren't able to put the new stack on the top of the Snacktower: they had to wait until all the bigger snacks fell. Of course, in order to not to anger miss Fortune again, the residents placed each snack on the top of the tower immediately as they could do it.

Write a program that models the behavior of Ankh-Morpork residents.

Input

The first line contains single integer n (1 ≤ n ≤ 100 000) — the total number of snacks.

The second line contains n integers, the i-th of them equals the size of the snack which fell on the i-th day. Sizes are distinct integers from 1 to n. 

Output

Print n lines. On the i-th of them print the sizes of the snacks which the residents placed on the top of the Snacktower on the i-th day in the order they will do that. If no snack is placed on some day, leave the corresponding line empty.

Examples

Input

3
3 1 2


Output

3
 
2 1

Input

5
4 5 1 2 3


Output

 
5 4
 
 
3 2 1

Note

In the example a snack of size 3 fell on the first day, and the residents immediately placed it. On the second day a snack of size 1 fell, and the residents weren't able to place it because they were missing the snack of size 2. On the third day a snack of size 2 fell, and the residents immediately placed it. Right after that they placed the snack of size 1 which had fallen before.

Solution (in JAVA):

Solution:
    import java.io.*;
    import java.util.*;
    public class cro1 {
    public static void main(String[] args) {
    	InputReader s=new InputReader(System.in);
                PrintWriter p=new PrintWriter(System.out);

    	int t=1;
        while(t-->0){

        int n=s.nextInt();
        int a[]=new int[n];
        scan(a,n,s);
        int max=n;
        HashSet<Integer> h=new HashSet<Integer>();
        for (int i=0;i<n;i++) {
            if(a[i]==max){
                System.out.print(a[i]+" ");
                max--;
                while(h.contains(max)){
                    System.out.print(max+" ");
                    h.remove(max);
                    max--;
                }
                System.out.println();
            }
            else{
                h.add(a[i]);
                System.out.println();
            }
        }


        }


    	}	






        static void scan(int a[],int n,InputReader s){
            for (int i=0;i<n;i++) {
                a[i]=s.nextInt();
            }
        }

        static void print(int a[]){
            System.out.println(Arrays.toString(a));
        }

        public static boolean isPrime(long n) {
          if(n<=1)
            return false;
          if(n > 2 && (n & 1) == 0)
           return false;
         for(int i = 3; i * i <= n; i += 2)
            if (n % i == 0) 
                return false;
        return true;
    }

        private static long gcd(long number1, long number2) { 
        if(number2 == 0){ 
        return number1;
        }

        return gcd(number2, number1%number2);
        }

        private static long lcm(long a, long b)
        {
         return a * (b / gcd(a, b));
        }

        static long power(long x, long y)
        {
            if( y == 0)
            return 1;
            else if (y%2 == 0)
            return power(x, y/2)*power(x, y/2);
            else
            return x*power(x, y/2)*power(x, y/2); 
        }   





    	static class InputReader {
        private InputStream stream;
        private byte[] buf = new byte[1024];
        private int curChar;
        private int numChars;
        private SpaceCharFilter filter;
     
        public InputReader(InputStream stream) {
            this.stream = stream;
        }
     
        public static boolean isWhitespace(int c) {
            return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
        }
     
        public 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++];
        }
     
        public int nextInt() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            int res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }
     
        public long nextLong() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            int sgn = 1;
            if (c == '-') {
                sgn = -1;
                c = read();
            }
            long res = 0;
            do {
                if (c < '0' || c > '9')
                    throw new InputMismatchException();
                res *= 10;
                res += c - '0';
                c = read();
            } while (!isSpaceChar(c));
            return res * sgn;
        }
     
        public String nextToken() {
            int c = read();
            while (isSpaceChar(c))
                c = read();
            StringBuilder res = new StringBuilder();
            do {
                res.appendCodePoint(c);
                c = read();
            } while (!isSpaceChar(c));
            return res.toString();
        }
     
        public boolean isSpaceChar(int c) {
            if (filter != null)
                return filter.isSpaceChar(c);
            return isWhitespace(c);
        }
     
        public interface SpaceCharFilter {
            public boolean isSpaceChar(int ch);
        }
    }
    }