CF919A.Supermarket

入门

通过率:0%

时间限制:2.00s

内存限制:256MB

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题目描述

We often go to supermarkets to buy some fruits or vegetables, and on the tag there prints the price for a kilo. But in some supermarkets, when asked how much the items are, the clerk will say that aa yuan for bb kilos (You don't need to care about what "yuan" is), the same as a/ba/b yuan for a kilo.

Now imagine you'd like to buy mm kilos of apples. You've asked nn supermarkets and got the prices. Find the minimum cost for those apples.

You can assume that there are enough apples in all supermarkets.

我们经常去超市购买一些水果或蔬菜,商品标签上通常会印有每千克的价格。但在某些超市中,当询问商品价格时,售货员会告诉你“bb 千克卖 aa 元”(你无需关心“元”是什么货币单位),这等价于每千克 a/ba/b 元。

现在假设你想购买 mm 千克苹果。你已向 nn 家超市咨询了价格并得到了报价。请计算购买这些苹果的最低总花费。

你可以假设所有超市均有充足的苹果供应。

输入格式

The first line contains two positive integers nn and mm (1≤n≤5 0001 \leq n \leq 5\,000, 1≤m≤1001 \leq m \leq 100), denoting that there are nn supermarkets and you want to buy mm kilos of apples.

The following nn lines describe the information of the supermarkets. Each line contains two positive integers a,ba, b (1≤a,b≤1001 \leq a, b \leq 100), denoting that in this supermarket, you are supposed to pay aa yuan for bb kilos of apples.

第一行包含两个正整数 nn 和 mm(1≤n≤5 0001 \leq n \leq 5\,000,1≤m≤1001 \leq m \leq 100),表示共有 nn 家超市,且你需要购买 mm 千克苹果。

接下来的 nn 行描述各家超市的信息。每行包含两个正整数 aa 和 bb(1≤a,b≤1001 \leq a, b \leq 100),表示在该超市,你需要支付 aa 元来购买 bb 千克苹果。

输出格式

The only line, denoting the minimum cost for mm kilos of apples. Please make sure that the absolute or relative error between your answer and the correct answer won't exceed 10−610^{-6}.

Formally, let your answer be xx, and the jury's answer be yy. Your answer is considered correct if ∣x−y∣max⁡(1,∣y∣)≤10−6\frac{|x - y|}{\max{(1, |y|)}} \le 10^{-6}.

唯一的一行,表示购买 mm 千克苹果的最小花费。请确保你的答案与正确答案之间的绝对误差或相对误差不超过 10−610^{-6}。

形式化地,设你的答案为 xx,评测组的答案为 yy。若满足 ∣x−y∣max⁡(1,∣y∣)≤10−6\frac{|x - y|}{\max{(1, |y|)}} \le 10^{-6},则你的答案视为正确。

输入输出样例

  • 输入#1

    3 5
    1 2
    3 4
    1 3

    输出#1

    1.66666667
  • 输入#2

    2 1
    99 100
    98 99

    输出#2

    0.98989899

说明/提示

In the first sample, you are supposed to buy 55 kilos of apples in supermarket 33. The cost is 5/35/3 yuan.

In the second sample, you are supposed to buy 11 kilo of apples in supermarket 22. The cost is 98/9998/99 yuan.

在第一个样例中,您需要在超市 3 购买 55 千克苹果,花费为 5/35/3 元。

在第二个样例中,您需要在超市 2 购买 11 千克苹果,花费为 98/9998/99 元。

输入解题思路,AI测评打分。不知道怎么写?

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