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;
int n, m;
int st[300000 + 10], tail;
struct Node {
  double r, s;
  int pos;
} girl[300000 + 10];
int ys[300000 + 10] = {0};
bool inst[300000 + 10] = {false};
bool xd(struct Node a, struct Node b) { return (a.r == b.r && a.s == b.s); }
bool wb(struct Node a, struct Node b) {
  if (!xd(a, b) && (a.r >= b.r) && (a.s >= b.s)) return true;
  return false;
}
bool pd(struct Node a, struct Node b, struct Node c) {
  double t1 = (1 / a.r), t2 = (1 / b.r), t3 = (1 / c.r);
  double q1 = (1 / a.s), q2 = (1 / b.s), q3 = (1 / c.s);
  if ((t2 - t1) * (q1 - q3) - (q1 - q2) * (t3 - t1) > 0) return true;
  return false;
}
bool cmp(struct Node a, struct Node b) {
  return (a.r > b.r) || (a.r == b.r && a.s > b.s);
}
int main() {
  scanf("%d", &n);
  for (int i = 1; i <= n; i++) {
    scanf("%lf %lf", &girl[i].s, &girl[i].r);
    girl[i].pos = i;
  }
  sort(girl + 1, girl + n + 1, cmp);
  tail = 0;
  for (int i = 1; i <= n; i++) {
    if (tail && wb(girl[st[tail]], girl[i])) continue;
    if (tail && xd(girl[i], girl[st[tail]])) {
      ys[girl[i].pos] = girl[st[tail]].pos;
      continue;
    }
    while ((tail >= 2) && pd(girl[st[tail - 1]], girl[st[tail]], girl[i]))
      tail--;
    st[++tail] = i;
  }
  for (int i = 1; i <= tail; i++) inst[girl[st[i]].pos] = true;
  for (int i = 1; i <= n; i++)
    if (inst[i] || inst[ys[i]]) printf("%d ", i);
  printf("\n");
  return 0;
}
