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>
using namespace std;
const int N = 2e5 + 10;
struct Node {
  int a, b;
  bool operator<(const Node &o) const {
    if (b == o.b) return a > o.a;
    return b < o.b;
  }
  double ins(Node o) {
    return ((double)a * b * o.b - (double)b * o.a * o.b) /
           ((double)o.a * o.b * a - (double)a * b * o.a);
  }
} t[N], dt[N];
int n, st[N];
map<pair<int, int>, bool> Map;
int main() {
  scanf("%d", &n);
  for (int i = 1; i <= n; i++) {
    scanf("%d%d", &t[i].a, &t[i].b);
    dt[i] = t[i];
  }
  sort(t + 1, t + n + 1);
  int top = 0;
  for (int i = 1; i <= n; i++) {
    if (i > 1 && t[i - 1].b == t[i].b) continue;
    while (top > 1 &&
           t[st[top - 1]].ins(t[st[top]]) - t[st[top]].ins(t[i]) > 1e-20)
      top--;
    st[++top] = i;
  }
  for (int i = 1; i <= top; i++)
    if (top == i || t[st[i + 1]].ins(t[st[i]]) > 1e-20)
      Map[make_pair(t[st[i]].a, t[st[i]].b)] = 1;
  for (int i = 1; i <= n; i++)
    if (Map[make_pair(dt[i].a, dt[i].b)]) printf("%d ", i);
  return 0;
}
