Problem: One very well-known internet resource site (let's call it X) has come up with a New Year adventure. Specifically, they decided to give ratings to all visitors.

There are n users on the site, for each user we know the rating value he wants to get as a New Year Present. We know that user i wants to get at least ai rating units as a present.

The X site is administered by very creative and thrifty people. On the one hand, they want to give distinct ratings and on the other hand, the total sum of the ratings in the present must be as small as possible.

Help site X cope with the challenging task of rating distribution. Find the optimal distribution.

Input

The first line contains integer n (1 ≤ n ≤ 3·105) — the number of users on the site. The next line contains integer sequence a1, a2, ..., an (1 ≤ ai ≤ 109).

Output

Print a sequence of integers b1, b2, ..., bn. Number bi means that user i gets bi of rating as a present. The printed sequence must meet the problem conditions. 

If there are multiple optimal solutions, print any of them.

Examples

Input

3
5 1 1


Output

5 1 2


Input

1
1000000000


Output

1000000000

Solution (in JAVA):

Solution:
import java.io.OutputStreamWriter;
import java.io.BufferedWriter;
import java.util.Comparator;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.io.Writer;
import java.io.IOException;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.NoSuchElementException;
import java.math.BigInteger;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 * @author Egor Kulikov (egor@egork.net)
 */
public class Main {
	public static void main(String[] args) {
		InputStream inputStream = System.in;
		OutputStream outputStream = System.out;
		InputReader in = new InputReader(inputStream);
		OutputWriter out = new OutputWriter(outputStream);
		TaskC solver = new TaskC();
		solver.solve(1, in, out);
		out.close();
	}
}

class TaskC {
    public void solve(int testNumber, InputReader in, OutputWriter out) {
		int count = in.readInt();
		int[] rating = IOUtils.readIntArray(in, count);
		int[] order = ArrayUtils.order(rating);
		int current = 0;
		for (int i : order) {
			current++;
			current = Math.max(current, rating[i]);
			rating[i] = current;
		}
		out.printLine(rating);
    }
}

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 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 readInt() {
		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 boolean isSpaceChar(int c) {
		if (filter != null)
			return filter.isSpaceChar(c);
		return isWhitespace(c);
	}

	public static boolean isWhitespace(int c) {
		return c == ' ' || c == '\n' || c == '\r' || c == '\t' || c == -1;
	}

	public interface SpaceCharFilter {
		public boolean isSpaceChar(int ch);
	}
}

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

    public void printLine(int[] array) {
        print(array);
        writer.println();
    }

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

	}

class IOUtils {

	public static int[] readIntArray(InputReader in, int size) {
		int[] array = new int[size];
		for (int i = 0; i < size; i++)
			array[i] = in.readInt();
		return array;
	}

	}

class ArrayUtils {

	public static int[] createOrder(int size) {
		int[] order = new int[size];
		for (int i = 0; i < size; i++)
			order[i] = i;
		return order;
	}

	public static int[] sort(int[] array, IntComparator comparator) {
		return sort(array, 0, array.length, comparator);
	}

	public static int[] sort(int[] array, int from, int to, IntComparator comparator) {
		if (from == 0 && to == array.length)
			new IntArray(array).inPlaceSort(comparator);
		else
			new IntArray(array).subList(from, to).inPlaceSort(comparator);
		return array;
	}

	public static int[] order(final int[] array) {
		return sort(createOrder(array.length), new IntComparator() {
			public int compare(int first, int second) {
				if (array[first] < array[second])
					return -1;
				if (array[first] > array[second])
					return 1;
				return 0;
			}
		});
	}

	}

abstract class IntCollection {
	public abstract IntIterator iterator();
	public abstract int size();

	}

interface IntIterator {
	public int value() throws NoSuchElementException;
	/*
	 * @throws NoSuchElementException only if iterator already invalid
	 */
	public void advance() throws NoSuchElementException;
	public boolean isValid();
}

interface IntComparator {
    public static final IntComparator DEFAULT = new IntComparator() {
        public int compare(int first, int second) {
            if (first < second)
                return -1;
            if (first > second)
                return 1;
            return 0;
        }
    };

	public int compare(int first, int second);
}

abstract class IntList extends IntCollection implements Comparable<IntList> {
	private static final int INSERTION_THRESHOLD = 16;

	public abstract int get(int index);
	public abstract void set(int index, int value);

	public IntIterator iterator() {
		return new IntIterator() {
			private int size = size();
			private int index = 0;

			public int value() throws NoSuchElementException {
				if (!isValid())
					throw new NoSuchElementException();
				return get(index);
			}

			public void advance() throws NoSuchElementException {
				if (!isValid())
					throw new NoSuchElementException();
				index++;
			}

			public boolean isValid() {
				return index < size;
			}
		};
	}

	public IntList subList(final int from, final int to) {
		return new SubList(from, to);
	}

	private void swap(int first, int second) {
		if (first == second)
			return;
		int temp = get(first);
		set(first, get(second));
		set(second, temp);
	}

	public IntSortedList inPlaceSort(IntComparator comparator) {
		quickSort(0, size() - 1, (Integer.bitCount(Integer.highestOneBit(size()) - 1) * 5) >> 1, comparator);
		return new IntSortedArray(this, comparator);
	}

	private void quickSort(int from, int to, int remaining, IntComparator comparator) {
		if (to - from < INSERTION_THRESHOLD) {
			insertionSort(from, to, comparator);
			return;
		}
		if (remaining == 0) {
			heapSort(from, to, comparator);
			return;
		}
		remaining--;
		int pivotIndex = (from + to) >> 1;
		int pivot = get(pivotIndex);
		swap(pivotIndex, to);
		int storeIndex = from;
		int equalIndex = to;
		for (int i = from; i < equalIndex; i++) {
			int value = comparator.compare(get(i), pivot);
			if (value < 0)
				swap(storeIndex++, i);
			else if (value == 0)
				swap(--equalIndex, i--);
		}
		quickSort(from, storeIndex - 1, remaining, comparator);
		for (int i = equalIndex; i <= to; i++)
			swap(storeIndex++, i);
		quickSort(storeIndex, to, remaining, comparator);
	}

	private void heapSort(int from, int to, IntComparator comparator) {
		for (int i = (to + from - 1) >> 1; i >= from; i--)
			siftDown(i, to, comparator, from);
		for (int i = to; i > from; i--) {
			swap(from, i);
			siftDown(from, i - 1, comparator, from);
		}
	}

	private void siftDown(int start, int end, IntComparator comparator, int delta) {
		int value = get(start);
		while (true) {
			int child = ((start - delta) << 1) + 1 + delta;
			if (child > end)
				return;
			int childValue = get(child);
			if (child + 1 <= end) {
				int otherValue = get(child + 1);
				if (comparator.compare(otherValue, childValue) > 0) {
					child++;
					childValue = otherValue;
				}
			}
			if (comparator.compare(value, childValue) >= 0)
				return;
			swap(start, child);
			start = child;
		}
	}

	private void insertionSort(int from, int to, IntComparator comparator) {
		for (int i = from + 1; i <= to; i++) {
			int value = get(i);
			for (int j = i - 1; j >= from; j--) {
				if (comparator.compare(get(j), value) <= 0)
					break;
				swap(j, j + 1);
			}
		}
	}

	public int hashCode() {
		int hashCode = 1;
		for (IntIterator i = iterator(); i.isValid(); i.advance())
			hashCode = 31 * hashCode + i.value();
		return hashCode;
	}

	public boolean equals(Object obj) {
		if (!(obj instanceof IntList))
			return false;
		IntList list = (IntList)obj;
		if (list.size() != size())
			return false;
		IntIterator i = iterator();
		IntIterator j = list.iterator();
		while (i.isValid()) {
			if (i.value() != j.value())
				return false;
			i.advance();
			j.advance();
		}
		return true;
	}

	public int compareTo(IntList o) {
		IntIterator i = iterator();
		IntIterator j = o.iterator();
		while (true) {
			if (i.isValid()) {
				if (j.isValid()) {
					if (i.value() != j.value()) {
						if (i.value() < j.value())
							return -1;
						else
							return 1;
					}
				} else
					return 1;
			} else {
				if (j.isValid())
					return -1;
				else
					return 0;
			}
			i.advance();
			j.advance();
		}
	}

	private class SubList extends IntList {
        private final int to;
        private final int from;
        private int size;

        public SubList(int from, int to) {
            this.to = to;
            this.from = from;
            size = to - from;
        }

        public int get(int index) {
            if (index < 0 || index >= size)
                throw new IndexOutOfBoundsException();
            return IntList.this.get(index + from);
        }

        public void set(int index, int value) {
            if (index < 0 || index >= size)
                throw new IndexOutOfBoundsException();
            IntList.this.set(index + from, value);
        }

        public int size() {
            return size;
        }

        }
}

abstract class IntSortedList extends IntList {
	protected final IntComparator comparator;

	protected IntSortedList(IntComparator comparator) {
		this.comparator = comparator;
	}

	public void set(int index, int value) {
		throw new UnsupportedOperationException();
	}

	public IntSortedList inPlaceSort(IntComparator comparator) {
		if (comparator == this.comparator)
			return this;
		throw new UnsupportedOperationException();
	}

	protected void ensureSorted() {
		int size = size();
		if (size == 0)
			return;
		int last = get(0);
		for (int i = 1; i < size; i++) {
			int current = get(i);
			if (comparator.compare(last, current) > 0)
				throw new IllegalArgumentException();
			last = current;
		}
	}

	public IntSortedList subList(final int from, final int to) {
		return new IntSortedList(comparator) {
			private int size = to - from;

			@Override
			public int get(int index) {
				if (index < 0 || index >= size)
					throw new IndexOutOfBoundsException();
				return IntSortedList.this.get(index + from);
			}

			@Override
			public int size() {
				return size;
			}
		};
	}
}

class IntArray extends IntList {
	private final int[] array;

	public IntArray(int[] array) {
		this.array = array;
	}

	public IntArray(IntCollection collection) {
		array = new int[collection.size()];
		int i = 0;
		for (IntIterator iterator = collection.iterator(); iterator.isValid(); iterator.advance())
			array[i++] = iterator.value();
	}

	public int get(int index) {
		return array[index];
	}

	public void set(int index, int value) {
		array[index] = value;
	}

	public int size() {
		return array.length;
	}

	}

class IntSortedArray extends IntSortedList {
	private final int[] array;

	public IntSortedArray(int[] array) {
		this(array, IntComparator.DEFAULT);
	}

	public IntSortedArray(IntCollection collection) {
		this(collection, IntComparator.DEFAULT);
	}

	public IntSortedArray(int[] array, IntComparator comparator) {
		super(comparator);
		this.array = array;
		ensureSorted();
	}

	public IntSortedArray(IntCollection collection, IntComparator comparator) {
		super(comparator);
		array = new int[collection.size()];
		int i = 0;
		for (IntIterator iterator = collection.iterator(); iterator.isValid(); iterator.advance())
			array[i++] = iterator.value();
		ensureSorted();
	}

	public int get(int index) {
		return array[index];
	}

	public int size() {
		return array.length;
	}
}