304013: CF772A. Voltage Keepsake
Memory Limit:256 MB
Time Limit:2 S
Judge Style:Text Compare
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Description
Voltage Keepsake
题意翻译
N个机器,每个机器每秒需要消耗能量,每台机器自己有一些能量, 我们有一个充电器可以提供能量(只能同时充一台机器) 问最多可以用多长时间(如果可以永动就输出-1) 注:时间可以为任意实数(就是有小数) 输入第一行就是 n,p n是几台机器 p是充电器每秒充多少电 接下来n行 两个数 第一个是每秒耗电量 第二个是自己带了多少电题目描述
You have $ n $ devices that you want to use simultaneously. The $ i $ -th device uses $ a_{i} $ units of power per second. This usage is continuous. That is, in $ λ $ seconds, the device will use $ λ·a_{i} $ units of power. The $ i $ -th device currently has $ b_{i} $ units of power stored. All devices can store an arbitrary amount of power. You have a single charger that can plug to any single device. The charger will add $ p $ units of power per second to a device. This charging is continuous. That is, if you plug in a device for $ λ $ seconds, it will gain $ λ·p $ units of power. You can switch which device is charging at any arbitrary unit of time (including real numbers), and the time it takes to switch is negligible. You are wondering, what is the maximum amount of time you can use the devices until one of them hits $ 0 $ units of power. If you can use the devices indefinitely, print -1. Otherwise, print the maximum amount of time before any one device hits $ 0 $ power.输入输出格式
输入格式
The first line contains two integers, $ n $ and $ p $ ( $ 1<=n<=100000 $ , $ 1<=p<=10^{9} $ ) — the number of devices and the power of the charger. This is followed by $ n $ lines which contain two integers each. Line $ i $ contains the integers $ a_{i} $ and $ b_{i} $ ( $ 1<=a_{i},b_{i}<=100000 $ ) — the power of the device and the amount of power stored in the device in the beginning.
输出格式
If you can use the devices indefinitely, print -1. Otherwise, print the maximum amount of time before any one device hits $ 0 $ power. Your answer will be considered correct if its absolute or relative error does not exceed $ 10^{-4} $ . Namely, let's assume that your answer is $ a $ and the answer of the jury is $ b $ . The checker program will consider your answer correct if ![](https://cdn.luogu.com.cn/upload/vjudge_pic/CF772A/52c84cb27b50fce8b08f35fa39c1f083ebd1a014.png).
输入输出样例
输入样例 #1
2 1
2 2
2 1000
输出样例 #1
2.0000000000
输入样例 #2
1 100
1 1
输出样例 #2
-1
输入样例 #3
3 5
4 3
5 2
6 1
输出样例 #3
0.5000000000