Problem: Mikhail the Freelancer dreams of two things: to become a cool programmer and to buy a flat in Moscow. To become a cool programmer, he needs at least p experience points, and a desired flat in Moscow costs q dollars. Mikhail is determined to follow his dreams and registered at a freelance site.

He has suggestions to work on n distinct projects. Mikhail has already evaluated that the participation in the i-th project will increase his experience by ai per day and bring bi dollars per day. As freelance work implies flexible working hours, Mikhail is free to stop working on one project at any time and start working on another project. Doing so, he receives the respective share of experience and money. Mikhail is only trying to become a cool programmer, so he is able to work only on one project at any moment of time.

Find the real value, equal to the minimum number of days Mikhail needs to make his dream come true.

For example, suppose Mikhail is suggested to work on three projects and a1 = 6, b1 = 2, a2 = 1, b2 = 3, a3 = 2, b3 = 6. Also, p = 20 and q = 20. In order to achieve his aims Mikhail has to work for 2.5 days on both first and third projects. Indeed, a1·2.5 + a2·0 + a3·2.5 = 6·2.5 + 1·0 + 2·2.5 = 20 and b1·2.5 + b2·0 + b3·2.5 = 2·2.5 + 3·0 + 6·2.5 = 20.

Input

The first line of the input contains three integers n, p and q (1 ≤ n ≤ 100 000, 1 ≤ p, q ≤ 1 000 000) — the number of projects and the required number of experience and money.

Each of the next n lines contains two integers ai and bi (1 ≤ ai, bi ≤ 1 000 000) — the daily increase in experience and daily income for working on the i-th project.

Output

Print a real value — the minimum number of days Mikhail needs to get the required amount of experience and money. Your answer will be considered correct if its absolute or relative error does not exceed 10 - 6. 

Namely: let's assume that your answer is a, and the answer of the jury is b. The checker program will consider your answer correct, if <image>.

Examples

Input

3 20 20
6 2
1 3
2 6


Output

5.000000000000000


Input

4 1 1
2 3
3 2
2 3
3 2


Output

0.400000000000000

Note

First sample corresponds to the example in the problem statement.

Solution (in JAVA):

Solution:
import java.io.OutputStream;
import java.io.IOException;
import java.io.InputStream;
import java.util.Arrays;
import java.util.AbstractSet;
import java.util.InputMismatchException;
import java.util.Random;
import java.util.ArrayList;
import java.util.Map;
import java.io.OutputStreamWriter;
import java.util.NoSuchElementException;
import java.io.OutputStream;
import java.io.PrintWriter;
import java.util.Iterator;
import java.io.BufferedWriter;
import java.util.Collection;
import java.util.Set;
import java.io.IOException;
import java.util.List;
import java.util.AbstractMap;
import java.io.Writer;
import java.util.Map.Entry;
import java.util.Comparator;
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();
	}

	static class TaskC {
		public void solve(int testNumber, InputReader in, OutputWriter out) {
			int n = in.readInt();
			int p = in.readInt();
			int q = in.readInt();
			Point[] points = new Point[n + 3];
			double x = 0;
			double y = 0;
			for (int i = 0; i < n; i++) {
				points[i] = Point.readPoint(in);
				x = Math.max(x, points[i].x);
				y = Math.max(y, points[i].y);
			}
			points[n] = new Point(x, 0);
			points[n + 1] = new Point(0, y);
			points[n + 2] = Point.ORIGIN;
			points = new EHashSet<>(Arrays.asList(points)).toArray(new Point[0]);
			Segment[] sides = Polygon.convexHull(points).sides();
			Line line = Point.ORIGIN.line(new Point(p, q));
			double dst = 0;
			for (Segment segment : sides) {
				if (segment.line() == null) {
					continue;
				}
				Point point = segment.intersect(line);
				if (point == null) {
					continue;
				}
				dst = Math.max(dst, Point.ORIGIN.distance(point));
			}
			out.printLine(new Point(p, q).distance(Point.ORIGIN) / dst);
		}

	}

	static class EHashMap<E, V> extends AbstractMap<E, V> {
		private static final int[] shifts = new int[10];
		private int size;
		private HashEntry<E, V>[] data;
		private int capacity;
		private Set<Entry<E, V>> entrySet;

		static {
			Random random = new Random(System.currentTimeMillis());
			for (int i = 0; i < 10; i++)
				shifts[i] = 1 + 3 * i + random.nextInt(3);
		}

		public EHashMap() {
			this(4);
		}

		private void setCapacity(int size) {
			capacity = Integer.highestOneBit(4 * size);
			//noinspection unchecked
			data = new HashEntry[capacity];
		}

		public EHashMap(int maxSize) {
			setCapacity(maxSize);
			entrySet = new AbstractSet<Entry<E, V>>() {

				public Iterator<Entry<E, V>> iterator() {
					return new Iterator<Entry<E, V>>() {
						private HashEntry<E, V> last = null;
						private HashEntry<E, V> current = null;
						private HashEntry<E, V> base = null;
						private int lastIndex = -1;
						private int index = -1;

						public boolean hasNext() {
							if (current == null) {
								for (index++; index < capacity; index++) {
									if (data[index] != null) {
										base = current = data[index];
										break;
									}
								}
							}
							return current != null;
						}

						public Entry<E, V> next() {
							if (!hasNext())
								throw new NoSuchElementException();
							last = current;
							lastIndex = index;
							current = current.next;
							if (base.next != last)
								base = base.next;
							return last;
						}

						public void remove() {
							if (last == null)
								throw new IllegalStateException();
							size--;
							if (base == last)
								data[lastIndex] = last.next;
							else
								base.next = last.next;
						}
					};
				}


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

		public EHashMap(Map<E, V> map) {
			this(map.size());
			putAll(map);
		}


		public Set<Entry<E, V>> entrySet() {
			return entrySet;
		}


		public void clear() {
			Arrays.fill(data, null);
			size = 0;
		}

		private int index(Object o) {
			return getHash(o.hashCode()) & (capacity - 1);
		}

		private int getHash(int h) {
			int result = h;
			for (int i : shifts)
				result ^= h >>> i;
			return result;
		}


		public V remove(Object o) {
			if (o == null)
				return null;
			int index = index(o);
			HashEntry<E, V> current = data[index];
			HashEntry<E, V> last = null;
			while (current != null) {
				if (current.key.equals(o)) {
					if (last == null)
						data[index] = current.next;
					else
						last.next = current.next;
					size--;
					return current.value;
				}
				last = current;
				current = current.next;
			}
			return null;
		}


		public V put(E e, V value) {
			if (e == null)
				return null;
			int index = index(e);
			HashEntry<E, V> current = data[index];
			if (current != null) {
				while (true) {
					if (current.key.equals(e)) {
						V oldValue = current.value;
						current.value = value;
						return oldValue;
					}
					if (current.next == null)
						break;
					current = current.next;
				}
			}
			if (current == null)
				data[index] = new HashEntry<E, V>(e, value);
			else
				current.next = new HashEntry<E, V>(e, value);
			size++;
			if (2 * size > capacity) {
				HashEntry<E, V>[] oldData = data;
				setCapacity(size);
				for (HashEntry<E, V> entry : oldData) {
					while (entry != null) {
						HashEntry<E, V> next = entry.next;
						index = index(entry.key);
						entry.next = data[index];
						data[index] = entry;
						entry = next;
					}
				}
			}
			return null;
		}


		public V get(Object o) {
			if (o == null)
				return null;
			int index = index(o);
			HashEntry<E, V> current = data[index];
			while (current != null) {
				if (current.key.equals(o))
					return current.value;
				current = current.next;
			}
			return null;
		}


		public boolean containsKey(Object o) {
			if (o == null)
				return false;
			int index = index(o);
			HashEntry<E, V> current = data[index];
			while (current != null) {
				if (current.key.equals(o))
					return true;
				current = current.next;
			}
			return false;
		}


		public int size() {
			return size;
		}

		private static class HashEntry<E, V> implements Entry<E, V> {
			private final E key;
			private V value;
			private HashEntry<E, V> next;

			private HashEntry(E key, V value) {
				this.key = key;
				this.value = value;
			}

			public E getKey() {
				return key;
			}

			public V getValue() {
				return value;
			}

			public V setValue(V value) {
				V oldValue = this.value;
				this.value = value;
				return oldValue;
			}

		}

	}

	static class GeometryUtils {
		public static double epsilon = 1e-8;

		public static double fastHypot(double x, double y) {
			return Math.sqrt(x * x + y * y);
		}

	}

	static class Segment {
		public final Point a;
		public final Point b;
		private Line line = null;

		public Segment(Point a, Point b) {
			this.a = a;
			this.b = b;
		}

		public boolean contains(Point point, boolean includeEnds) {
			if (a.equals(point) || b.equals(point))
				return includeEnds;
			if (a.equals(b))
				return false;
			Line line = line();
			if (!line.contains(point))
				return false;
			Line perpendicular = line.perpendicular(a);
			double aValue = perpendicular.value(a);
			double bValue = perpendicular.value(b);
			double pointValue = perpendicular.value(point);
			return aValue < pointValue && pointValue < bValue || bValue < pointValue && pointValue < aValue;
		}

		public Line line() {
			if (line == null)
				line = a.line(b);
			return line;
		}

		public Point intersect(Line line) {
			Line selfLine = line();
			Point intersect = selfLine.intersect(line);
			if (intersect == null)
				return null;
			if (contains(intersect, true))
				return intersect;
			return null;
		}

	}

	static class Polygon {
		public final Point[] vertices;
		private Segment[] sides;

		public Polygon(Point... vertices) {
			this.vertices = vertices.clone();
		}

		public static boolean over(Point a, Point b, Point c) {
			return a.x * (b.y - c.y) + b.x * (c.y - a.y) + c.x * (a.y - b.y) < -GeometryUtils.epsilon;
		}

		private static boolean under(Point a, Point b, Point c) {
			return a.x * (b.y - c.y) + b.x * (c.y - a.y) + c.x * (a.y - b.y) > GeometryUtils.epsilon;
		}

		public static Polygon convexHull(Point[] points) {
			if (points.length == 1)
				return new Polygon(points);
			Arrays.sort(points, new Comparator<Point>() {
				public int compare(Point o1, Point o2) {
					int value = Double.compare(o1.x, o2.x);
					if (value != 0)
						return value;
					return Double.compare(o1.y, o2.y);
				}
			});
			Point left = points[0];
			Point right = points[points.length - 1];
			List<Point> up = new ArrayList<Point>();
			List<Point> down = new ArrayList<Point>();
			for (Point point : points) {
				if (point == left || point == right || !under(left, point, right)) {
					while (up.size() >= 2 && under(up.get(up.size() - 2), up.get(up.size() - 1), point))
						up.remove(up.size() - 1);
					up.add(point);
				}
				if (point == left || point == right || !over(left, point, right)) {
					while (down.size() >= 2 && over(down.get(down.size() - 2), down.get(down.size() - 1), point))
						down.remove(down.size() - 1);
					down.add(point);
				}
			}
			Point[] result = new Point[up.size() + down.size() - 2];
			int index = 0;
			for (Point point : up)
				result[index++] = point;
			for (int i = down.size() - 2; i > 0; i--)
				result[index++] = down.get(i);
			return new Polygon(result);
		}

		public Segment[] sides() {
			if (sides == null) {
				sides = new Segment[vertices.length];
				for (int i = 0; i < vertices.length - 1; i++)
					sides[i] = new Segment(vertices[i], vertices[i + 1]);
				sides[sides.length - 1] = new Segment(vertices[vertices.length - 1], vertices[0]);
			}
			return sides;
		}

	}

	static class EHashSet<E> extends AbstractSet<E> {
		private static final Object VALUE = new Object();
		private final Map<E, Object> map;

		public EHashSet() {
			this(4);
		}

		public EHashSet(int maxSize) {
			map = new EHashMap<E, Object>(maxSize);
		}

		public EHashSet(Collection<E> collection) {
			this(collection.size());
			addAll(collection);
		}


		public boolean contains(Object o) {
			return map.containsKey(o);
		}


		public boolean add(E e) {
			if (e == null)
				return false;
			return map.put(e, VALUE) == null;
		}


		public boolean remove(Object o) {
			if (o == null)
				return false;
			return map.remove(o) != null;
		}


		public void clear() {
			map.clear();
		}


		public Iterator<E> iterator() {
			return map.keySet().iterator();
		}


		public int size() {
			return map.size();
		}

	}

	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 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 double readDouble() {
			int c = read();
			while (isSpaceChar(c))
				c = read();
			int sgn = 1;
			if (c == '-') {
				sgn = -1;
				c = read();
			}
			double res = 0;
			while (!isSpaceChar(c) && c != '.') {
				if (c == 'e' || c == 'E')
					return res * Math.pow(10, readInt());
				if (c < '0' || c > '9')
					throw new InputMismatchException();
				res *= 10;
				res += c - '0';
				c = read();
			}
			if (c == '.') {
				c = read();
				double m = 1;
				while (!isSpaceChar(c)) {
					if (c == 'e' || c == 'E')
						return res * Math.pow(10, readInt());
					if (c < '0' || c > '9')
						throw new InputMismatchException();
					m /= 10;
					res += (c - '0') * m;
					c = read();
				}
			}
			return res * sgn;
		}

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

		}

	}

	static class Line {
		public final double a;
		public final double b;
		public final double c;

		public Line(Point p, double angle) {
			a = Math.sin(angle);
			b = -Math.cos(angle);
			c = -p.x * a - p.y * b;
		}

		public Line(double a, double b, double c) {
			double h = GeometryUtils.fastHypot(a, b);
			this.a = a / h;
			this.b = b / h;
			this.c = c / h;
		}

		public Point intersect(Line other) {
			if (parallel(other))
				return null;
			double determinant = b * other.a - a * other.b;
			double x = (c * other.b - b * other.c) / determinant;
			double y = (a * other.c - c * other.a) / determinant;
			return new Point(x, y);
		}

		public boolean parallel(Line other) {
			return Math.abs(a * other.b - b * other.a) < GeometryUtils.epsilon;
		}

		public boolean contains(Point point) {
			return Math.abs(value(point)) < GeometryUtils.epsilon;
		}

		public Line perpendicular(Point point) {
			return new Line(-b, a, b * point.x - a * point.y);
		}

		public double value(Point point) {
			return a * point.x + b * point.y + c;
		}


		public boolean equals(Object o) {
			if (this == o) return true;
			if (o == null || getClass() != o.getClass()) return false;

			Line line = (Line) o;

			if (!parallel(line)) return false;
			if (Math.abs(a * line.c - c * line.a) > GeometryUtils.epsilon || Math.abs(b * line.c - c * line.b) > GeometryUtils.epsilon)
				return false;

			return true;
		}

	}

	static class Point {
		public static final Point ORIGIN = new Point(0, 0);
		public final double x;
		public final double y;


		public String toString() {
			return "(" + x + ", " + y + ")";
		}

		public Point(double x, double y) {
			this.x = x;
			this.y = y;
		}

		public Line line(Point other) {
			if (equals(other))
				return null;
			double a = other.y - y;
			double b = x - other.x;
			double c = -a * x - b * y;
			return new Line(a, b, c);
		}


		public boolean equals(Object o) {
			if (this == o)
				return true;
			if (o == null || getClass() != o.getClass())
				return false;

			Point point = (Point) o;

			return Math.abs(x - point.x) <= GeometryUtils.epsilon && Math.abs(y - point.y) <= GeometryUtils.epsilon;
		}


		public int hashCode() {
			int result;
			long temp;
			temp = x != +0.0d ? Double.doubleToLongBits(x) : 0L;
			result = (int) (temp ^ (temp >>> 32));
			temp = y != +0.0d ? Double.doubleToLongBits(y) : 0L;
			result = 31 * result + (int) (temp ^ (temp >>> 32));
			return result;
		}

		public double distance(Point other) {
			return GeometryUtils.fastHypot(x - other.x, y - other.y);
		}

		public static Point readPoint(InputReader in) {
			double x = in.readDouble();
			double y = in.readDouble();
			return new Point(x, y);
		}

	}

	static 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();
		}

	}
}