CF535E.Tavas and Pashmaks

普及/提高-

通过率:0%

时间限制:1.00s

内存限制:256MB

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题目描述

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

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 s__i meters per second and his/her running speed is r__i 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.

塔瓦斯是新体育竞赛“帕什马克斯”(Pashmaks)中的一名啦啦队员。

该竞赛分为两个阶段:先游泳,再立即跑步。每位选手在恰好游完 SS 米后,立刻开始跑 RR 米。获胜者是指没有任何其他选手比其更早完成跑步的人(可能有多个获胜者)。

比赛开始前,塔瓦斯已知共有 nn 名选手报名参赛;他还知道第 ii 名选手的游泳速度为 sis_i 米/秒,跑步速度为 rir_i 米/秒。遗憾的是,他并不知道 RR 和 SS 的具体取值,但知道它们均为大于 00 的实数。

作为一名啦啦队员,塔瓦斯想知道该为谁加油助威,因此他希望找出所有可能获胜的选手。我们称一名选手“可能获胜”,当且仅当存在某些 R>0R > 0 和 S>0S > 0 的取值,使得在该取值下,该选手成为获胜者。

塔瓦斯并不熟悉编程,因此请你帮他解决这个问题。

输入格式

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 s__i and r__i (1 ≤ s__i, r__i ≤ 104).

输入的第一行包含一个整数 nn(1≤n≤2×1051 \leq n \leq 2 \times 10^5)。

接下来的 nn 行描述了参赛者的信息。第 ii 行包含两个整数 sis_i 和 rir_i(1≤si,ri≤1041 \leq s_i, r_i \leq 10^4)。

输出格式

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

在输出的第一行且唯一一行中,按升序打印可能获胜者的编号序列。

输入输出样例

  • 输入#1

    3
    1 3
    2 2
    3 1

    输出#1

    1 2 3
  • 输入#2

    3
    1 2
    1 1
    2 1

    输出#2

    1 3

输入解题思路,AI测评打分。不知道怎么写?

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