You've got a robot, its task is destroying bombs on a square plane. Specifically, the square plane contains n bombs, the i-th bomb is at point with coordinates (xi, yi). We know that no two bombs are at the same point and that no bomb is at point with coordinates (0, 0). Initially, the robot is at point with coordinates (0, 0). Also, let's mark the robot's current position as (x, y). In order to destroy all the bombs, the robot can perform three types of operations:

  1. Operation has format "1 k dir". To perform the operation robot have to move in direction dir k (k ≥ 1) times. There are only 4 directions the robot can move in: "R", "L", "U", "D". During one move the robot can move from the current point to one of following points: (x + 1, y), (x - 1, y), (x, y + 1), (x, y - 1) (corresponding to directions). It is forbidden to move from point (x, y), if at least one point on the path (besides the destination point) contains a bomb. 
  2. Operation has format "2". To perform the operation robot have to pick a bomb at point (x, y) and put it in a special container. Thus, the robot can carry the bomb from any point to any other point. The operation cannot be performed if point (x, y) has no bomb. It is forbidden to pick a bomb if the robot already has a bomb in its container. 
  3. Operation has format "3". To perform the operation robot have to take a bomb out of the container and destroy it. You are allowed to perform this operation only if the robot is at point (0, 0). It is forbidden to perform the operation if the container has no bomb. 



Help the robot and find the shortest possible sequence of operations he can perform to destroy all bombs on the coordinate plane.

Input

The first line contains a single integer n (1 ≤ n ≤ 105) — the number of bombs on the coordinate plane. Next n lines contain two integers each. The i-th line contains numbers (xi, yi) ( - 109 ≤ xi, yi ≤ 109) — the coordinates of the i-th bomb. It is guaranteed that no two bombs are located at the same point and no bomb is at point (0, 0). 

Output

In a single line print a single integer k — the minimum number of operations needed to destroy all bombs. On the next lines print the descriptions of these k operations. If there are multiple sequences, you can print any of them. It is guaranteed that there is the solution where k ≤ 106.

Examples

Input

2
1 1
-1 -1


Output

12
1 1 R
1 1 U
2
1 1 L
1 1 D
3
1 1 L
1 1 D
2
1 1 R
1 1 U
3


Input

3
5 0
0 5
1 0


Output

12
1 1 R
2
1 1 L
3
1 5 R
2
1 5 L
3
1 5 U
2
1 5 D
3
import java.io.OutputStreamWriter;
import java.io.BufferedWriter;
import java.util.Comparator;
import java.io.OutputStream;
import java.util.RandomAccess;
import java.io.PrintWriter;
import java.util.Random;
import java.util.AbstractList;
import java.io.Writer;
import java.util.Map;
import java.util.List;
import java.io.IOException;
import java.util.Arrays;
import java.util.InputMismatchException;
import java.util.AbstractSet;
import java.util.Iterator;
import java.util.Set;
import java.util.AbstractMap;
import java.util.NoSuchElementException;
import java.math.BigInteger;
import java.util.Collections;
import java.io.InputStream;

/**
 * Built using CHelper plug-in
 * Actual solution is at the top
 * @author Nguyen Trung Hieu - vuondenthanhcong11@gmail.com
 */
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();
        final int[] x = new int[count];
        final int[] y = new int[count];
        int[] dist = new int[count];
        IOUtils.readIntArrays(in, x, y);

        int totalAnswer = 0;
        for (int i = 0; i < count; i++) {
            int cur = 6;
            if (x[i] == 0)
                cur -= 2;
            if (y[i] == 0)
                cur -= 2;
            totalAnswer += cur;
            dist[i] = Math.abs(x[i]) + Math.abs(y[i]);
        }

        ArrayUtils.orderBy(dist, x, y);

        out.printLine(totalAnswer);

        for (int idx = 0; idx < count; idx++) {
            int curX = Math.abs(x[idx]);
            int curY = Math.abs(y[idx]);

            if (x[idx] > 0)
                out.printLine("1 " + curX + " R");
            if (x[idx] < 0)
                out.printLine("1 " + curX + " L");
            if (y[idx] > 0)
                out.printLine("1 " + curY + " U");
            if (y[idx] < 0)
                out.printLine("1 " + curY + " D");

            out.printLine(2);


            if (x[idx] > 0)
                out.printLine("1 " + curX + " L");
            if (x[idx] < 0)
                out.printLine("1 " + curX + " R");

            if (y[idx] > 0)
                out.printLine("1 " + curY + " D");
            if (y[idx] < 0)
                out.printLine("1 " + curY + " U");

            out.printLine(3);
        }
    }
}

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

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

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

}

class IOUtils {

    public static void readIntArrays(InputReader in, int[]... arrays) {
        for (int i = 0; i < arrays[0].length; i++) {
            for (int j = 0; j < arrays.length; j++)
                arrays[j][i] = in.readInt();
        }
    }

}

class ArrayUtils {
    private static int[] tempInt = new int[0];

    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) {
        new IntArray(array).subList(from, to).inPlaceSort(comparator);
//        ensureCapacityInt(to - from);
//        System.arraycopy(array, from, tempInt, 0, to - from);
//        sortImpl(array, from, to, tempInt, 0, to - from, comparator);
        return array;
    }

    private static void ensureCapacityInt(int size) {
        if (tempInt.length >= size)
            return;
        size = Math.max(size, tempInt.length << 1);
        tempInt = new int[size];
    }

    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;
            }
        });
    }

    /*Them boi Nguyen Trung Hieu*/


    public static void orderBy(int[] base, int[]... arrays) {
        int[] order = ArrayUtils.order(base);
        order(order, base);
        for (int[] array : arrays)
            order(order, array);
    }

    public static void order(int[] order, int[] array) {
        ensureCapacityInt(order.length);
        for (int i = 0; i < order.length; i++)
            tempInt[i] = array[order[i]];
        System.arraycopy(tempInt, 0, array, 0, array.length);
    }

    //update 24/8/2013


}

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 = 8;

    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, size(), 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 >>= 1;
        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();
        }
    }

    public IntSortedList sort(IntComparator comparator) {
        return new IntArray(this).inPlaceSort(comparator);
    }

    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();
    }

    public IntSortedList sort(IntComparator comparator) {
        if (comparator == this.comparator)
            return this;
        return super.sort(comparator);
    }

    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;
            }

            public void add(int value) {
                //To change body of implemented methods use File | Settings | File Templates.
            }
        };
    }
}

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;
    }
}

