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 maxn = 3e5 + 5;
struct node {
  double a, b;
  int pos;
  friend bool operator<(node x, node y) {
    return x.a == y.a ? x.b > y.b : x.a > y.a;
  }
  friend bool operator==(node x, node y) { return x.a == y.a && x.b == y.b; }
} p[maxn];
int n, ans[maxn], s[maxn], top;
int useless[maxn];
double work(int x, int y) {
  return p[x].a * p[y].a * (p[y].b - p[x].b) / (p[x].b * p[y].b) /
         (p[y].a - p[x].a);
}
signed main() {
  scanf("%d", &n);
  for (int q = 1; q <= n; q++) {
    scanf("%lf", &p[q].a), scanf("%lf", &p[q].b);
    p[q].pos = q;
  }
  sort(p + 1, p + n + 1);
  double now = p[1].b;
  for (int q = 2; q <= n; q++)
    if (p[q].b <= now)
      useless[q] = 1;
    else
      now = max(now, p[q].b);
  s[top = 1] = 1;
  for (int q = 2; q <= n; q++) {
    if (useless[q] || work(q, s[top]) > 0) continue;
    while (top > 1 && work(q, s[top]) < work(s[top - 1], s[top])) top--;
    s[++top] = q;
  }
  for (int q = 1; q <= top; q++) {
    ans[p[s[q]].pos] = 1;
    for (int w = s[q] + 1; w <= n && p[s[q]] == p[w]; w++) ans[p[w].pos] = 1;
  }
  for (int q = 1; q <= n; q++)
    if (ans[q]) cout << q << " ";
  cout << endl;
}
