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 CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
const long long mod = 1000000007;
long long powmod(long long a, long long b) {
  long long res = 1;
  a %= mod;
  for (; b; b >>= 1) {
    if (b & 1) res = res * a % mod;
    a = a * a % mod;
  }
  return res;
}
struct vector2 {
  double x, y;
  explicit vector2(double x_ = 0, double y_ = 0) : x(x_), y(y_) {}
  bool operator==(const vector2& rhs) const { return x == rhs.x && y == rhs.y; }
  bool operator<(const vector2& rhs) const {
    return x != rhs.x ? x < rhs.x : y > rhs.y;
  }
  vector2 operator+(const vector2& rhs) const {
    return vector2(x + rhs.x, y + rhs.y);
  }
  vector2 operator-(const vector2& rhs) const {
    return vector2(x - rhs.x, y - rhs.y);
  }
  vector2 operator*(double rhs) const { return vector2(x * rhs, y * rhs); }
  double norm() const { return hypot(x, y); }
  vector2 normalize() const { return vector2(x / norm(), y / norm()); }
  double polar() const {
    return fmod(atan2(y, x) + 2 * 3.141592653589793, 2 * 3.141592653589793);
  }
  double dot(const vector2& rhs) const { return x * rhs.x + y * rhs.y; }
  double cross(const vector2& rhs) const { return x * rhs.y - rhs.x * y; }
  vector2 project(const vector2& rhs) const {
    vector2 r = rhs.normalize();
    return r * r.dot(*this);
  }
};
double howMuchCloser(vector2 p, vector2 a, vector2 b) {
  return (b - p).norm() - (a - p).norm();
}
double ccw(vector2 a, vector2 b) { return a.cross(b); }
double ccw(vector2 p, vector2 a, vector2 b) { return ccw(a - p, b - p); }
bool lineIntersection(vector2 a, vector2 b, vector2 c, vector2 d, vector2& x) {
  double det = (b - a).cross(d - c);
  if (fabs(det) < FLT_EPSILON) return false;
  x = a + (b - a) * ((c - a).cross(d - c) / det);
  return true;
}
bool parallelSegments(vector2 a, vector2 b, vector2 c, vector2 d, vector2& p) {
  if (b < a) swap(a, b);
  if (d < c) swap(c, d);
  if (ccw(a, b, c) != 0 || b < c || d < a) return false;
  if (a < c)
    p = c;
  else
    p = a;
  return true;
}
bool isBoundingRectangle(vector2 p, vector2 a, vector2 b) {
  if (b < a) swap(a, b);
  return p == a || p == b || (a < p && p < b);
}
bool segmentIntersection(vector2 a, vector2 b, vector2 c, vector2 d,
                         vector2& p) {
  if (!lineIntersection(a, b, c, d, p)) return parallelSegments(a, b, c, d, p);
  return isBoundingRectangle(p, a, b) && isBoundingRectangle(p, c, d);
}
bool fastSegmentIntersection(vector2 a, vector2 b, vector2 c, vector2 d) {
  double ab = ccw(a, b, c) * ccw(a, b, d);
  double cd = ccw(c, d, a) * ccw(c, d, b);
  if (ab == 0 && cd == 0) {
    if (b < a) swap(a, b);
    if (d < c) swap(c, d);
    return !(b < c || d < a);
  }
  return ab <= 0 && cd <= 0;
}
vector2 perpendicularFoot(vector2 p, vector2 a, vector2 b) {
  return a + (p - a).project(b - a);
}
double pointToLine(vector2 p, vector2 a, vector2 b) {
  return (p - perpendicularFoot(p, a, b)).norm();
}
double area(const vector<vector2>& p) {
  double ret = 0;
  for (int i = 0; i < (int)p.size(); i++) {
    int j = (i + 1) % p.size();
    ret += p[i].cross(p[j]);
  }
  return fabs(ret) / 2.;
}
bool isInside(vector2 q, const vector<vector2>& p) {
  int crosses = 0;
  for (int i = 0; i < (int)p.size(); i++) {
    int j = (i + 1) % p.size();
    if ((p[i].y > q.y) != (p[j].y > q.y)) {
      double atX =
          p[i].x + (p[j].x - p[i].x) * (q.y - p[i].y) / (p[j].y - p[i].y);
      if (atX > q.x) crosses++;
    }
  }
  return crosses % 2 > 0;
}
vector<vector2> cutPolygonByLine(vector<vector2>& poly, vector2 a, vector2 b) {
  int n = poly.size();
  vector<bool> inside(n, 0);
  for (int i = 0; i < (int)n; i++) {
    inside[i] = ccw(a, b, poly[i]) >= 0;
  }
  vector<vector2> ret;
  for (int i = 0; i < (int)n; i++) {
    if (inside[i]) ret.push_back(poly[i]);
    int j = (i + 1) % n;
    vector2 cross;
    if (inside[i] != inside[j]) {
      if (!lineIntersection(a, b, poly[i], poly[j], cross)) continue;
      ret.push_back(cross);
    }
  }
  return ret;
}
vector<vector2> giftWrap(const vector<vector2>& points) {
  int n = points.size();
  vector<vector2> hull;
  vector2 pivot = *min_element(points.begin(), points.end());
  hull.push_back(pivot);
  while (1) {
    vector2 ph = hull.back(), next = points[0];
    for (int i = 1; i < (int)n; i++) {
      double cross = ccw(ph, next, points[i]);
      double dist = (next - ph).norm() - (points[i] - ph).norm();
      if (cross > 0 || (cross == 0 && dist < 0)) next = points[i];
    }
    if (next == pivot) break;
    hull.push_back(next);
  }
  return hull;
}
vector<vector2> giftWrap1(const vector<vector2>& points) {
  int n = points.size();
  vector<vector2> hull;
  hull.push_back(points[0]);
  hull.push_back(points[1]);
  for (int i = 2; i < (int)n; i++) {
    int sz = hull.size();
    while (hull.size() > 1) {
      if (ccw(hull[hull.size() - 2], hull[hull.size() - 1], points[i]) >= 0)
        hull.pop_back();
      else
        break;
    }
    hull.push_back(points[i]);
  }
  return hull;
}
int n, p, q, c, d, maxC, maxD;
vector<vector2> points;
int main() {
  maxC = maxD = 0;
  scanf("%d%d%d", &n, &p, &q);
  for (int i = 0; i < (int)n; i++) {
    scanf("%d%d", &c, &d);
    points.push_back(vector2(c, d));
    maxC = max(maxC, c);
    maxD = max(maxD, d);
  }
  points.push_back(vector2(maxC, 0));
  points.push_back(vector2(0, maxD));
  sort(points.begin(), points.end());
  vector<vector2> hull = giftWrap1(points);
  double ans = 10000000;
  double tmpP = double(p) * 1000000, tmpQ = double(q) * 1000000;
  for (int i = 0; i < (int)hull.size(); i++) {
    vector2 p1(-1, -1);
    if (segmentIntersection(hull[i], hull[(i + 1) % hull.size()], vector2(0, 0),
                            vector2(double(tmpP), double(tmpQ)), p1)) {
      if (p1.x != -1) {
        ans = min(ans, p / p1.x);
      }
    }
  }
  printf("%.12lf\n", ans);
  return 0;
}