Tavas is a cheerleader in the new sports competition named "Pashmaks".

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This competition consists of two part: swimming and then running. People will immediately start running R meters after they finished swimming exactly S meters. A winner is a such person that nobody else finishes running before him/her (there may be more than one winner).

Before the match starts, Tavas knows that there are n competitors registered for the match. Also, he knows that i-th person's swimming speed is si meters per second and his/her running speed is ri meters per second. Unfortunately, he doesn't know the values of R and S, but he knows that they are real numbers greater than 0.

As a cheerleader, Tavas wants to know who to cheer up. So, he wants to know all people that might win. We consider a competitor might win if and only if there are some values of R and S such that with these values, (s)he will be a winner.

Tavas isn't really familiar with programming, so he asked you to help him.

Input

The first line of input contains a single integer n (1 ≤ n ≤ 2 × 105).

The next n lines contain the details of competitors. i-th line contains two integers si and ri (1 ≤ si, ri ≤ 104).

Output

In the first and the only line of output, print a sequence of numbers of possible winners in increasing order.

Examples

Input

3
1 3
2 2
3 1


Output

1 2 3 


Input

3
1 2
1 1
2 1


Output

1 3 
#include <bits/stdc++.h>
struct str {
  double first;
  double second;
  int index;
} x[200010];
bool cmp(str a, str b) {
  if (a.first == b.first) return a.second < b.second;
  return a.first < b.first;
}
std::vector<str> P, St;
int CCW(str A, str B, str C) {
  double s1 = A.first * B.second + B.first * C.second + C.first * A.second;
  double s2 = A.second * B.first + B.second * C.first + C.second * A.first;
  if (s1 > s2) return 1;
  if (s1 < s2) return -1;
  return 0;
}
std::map<std::pair<double, double>, std::vector<int> > M;
int check[200010];
int main() {
  int a;
  scanf("%d", &a);
  for (int i = 1; i <= a; i++) {
    double b, c;
    scanf("%lf%lf", &b, &c);
    M[std::make_pair(1 / b, 1 / c)].push_back(i);
    x[i] = {(double)1 / b, (double)1 / c, i};
  }
  std::sort(x + 1, x + a + 1, cmp);
  double max = x[1].second;
  P.push_back(x[1]);
  for (int i = 2; i <= a; i++) {
    if (x[i].second < max) {
      P.push_back(x[i]);
      max = x[i].second;
    }
  }
  if (P.size() <= 1) {
    std::vector<int> V = M[std::make_pair(P[0].first, P[0].second)];
    for (int j = 0; j < V.size(); j++) check[V[j]] = 1;
    for (int i = 1; i <= a; i++)
      if (check[i] == 1) printf("%d ", i);
    return 0;
  } else {
    St.push_back(P[0]);
    St.push_back(P[1]);
    for (int i = 2; i < P.size(); i++) {
      while (St.size() >= 2) {
        str A = St[St.size() - 1];
        str B = St[St.size() - 2];
        if (CCW(B, A, P[i]) < 0)
          St.pop_back();
        else
          break;
      }
      St.push_back(P[i]);
    }
    for (int i = 0; i < St.size(); i++) {
      std::vector<int> V = M[std::make_pair(St[i].first, St[i].second)];
      for (int j = 0; j < V.size(); j++) check[V[j]] = 1;
    }
    for (int i = 1; i <= a; i++)
      if (check[i] == 1) printf("%d ", i);
  }
}
