UVa 12124 Assemble：二分搜索&最小值最大问题

NWERC 2007 / UVa 12124 Assemble：二分搜索&最小值最大问题2014-10-04 synapse7

12124 - Assemble

Time limit: 3.000 seconds

Recently your team noticed that the computer you use to practice for programming contests is not good enough anymore. Therefore, you decide to buy a new computer.

To make the ideal computer for your needs, you decide to buy separate components and assemble the computer yourself. You need to buy exactly one of each type of component.

The problem is which components to buy. As you all know, the quality of a computer is equal to the quality of its weakest component. Therefore, you want to maximize the quality of the component with the lowest quality, while not exceeding your budget.

Input

On the first line one positive number: the number of testcases, at most 100. After that per testcase:

One line with two integers: 1 ≤ n ≤ 1000, the number of available components and 1 ≤b ≤ 1000000000, your budget.

n lines in the following format: ``type name price quality"", wheretype is a string with the type of the component, name is a string with the unique name of the component,price is an integer （0 ≤ price < 1000000） which represents the price of the component andquality is an integer （0 ≤ quality ≤ 1000000000） which represents the quality of the component （higher is better）. The strings contain only letters, digits and underscores and have a maximal length of 20 characters.

It will always possible to construct a computer with your budget.

Output

Per testcase:

One line with one integer: the maximal possible quality.

Sample Input

118 800processor 3500_MHz 66 5processor 4200_MHz 103 7processor 5000_MHz 156 9processor 6000_MHz 219 12memory 1_GB 35 3memory 2_GB 88 6memory 4_GB 170 12mainbord all_onboard 52 10harddisk 250_GB 54 10harddisk 500_FB 99 12casing midi 36 10monitor 17_inch 157 5monitor 19_inch 175 7monitor 20_inch 210 9monitor 22_inch 293 12mouse cordless_optical 18 12mouse microsoft 30 9keyboard office 4 10

Sample Output

思路：解决“最小值最大”的常用方法就是二分答案。假设答案为x，那么删除品质小于x的所有配件，如果能组装出一台电脑，那么正确答案ans>=x，否则ans<x。