CF1814D.Balancing Weapons
普及/提高-
通过率:0%
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题目描述
You've got a job in a game studio that developed an online shooter, and your first big task is to help to balance weapons. The game has n weapons: the i -th gun has an integer fire rate fi and an integer damage per bullet di . The i -th gun's total firepower is equal to pi=fi⋅di .
You have to modify the values di of some guns in such a way that the new values di will still be integers, and the firepower of all guns will become balanced. Given an integer k , the guns are said to be balanced if 1≤i≤nmaxpi−1≤i≤nminpi≤k .
Since gamers that play your game don't like big changes, you need to change the values di for the minimum possible number of guns. What is the minimum number of guns for which you have to change these values to make the guns balanced?
Note that the new values di must be integers greater than 0 .
输入格式
The first line contains a single integer t ( 1≤t≤1000 ) — the number of test cases.
The first line of each test case contains two integers n and k ( 2≤n≤3000 ; 0≤k≤1500 ) — the number of guns to balance, and the maximum allowed gap between the most and the least powerful weapons.
The second line contains n integers f1,f2,…,fn ( 1≤fi≤2000 ), where fi is the fire rate of the i -th gun.
The third line contains n integers d1,d2,…,dn ( 1≤di≤109 ), where di is the damage per bullet of the i -th gun.
It's guaranteed that the sum of n over all test cases doesn't exceed 3000 .
输出格式
For each test case, print the minimum number of guns which damage di you have to change in order to make the guns balanced.
Note that the new values di must be integers greater than 0 .
输入输出样例
输入#1
5 4 2 6 3 13 7 1 2 1 2 3 2 100 101 102 100 99 98 5 0 1 12 4 4 3 12 1 3 3 4 2 50 1000 10 1000000000 1 3 5 1 19 11 49 4 72
输出#1
2 3 0 1 2
说明/提示
In the first test case, you can set d1=2 and d2=4 . You'll get an array d=[2,4,1,2] , and the values of firepower will be p=[12,12,13,14] . The guns are balanced, since 14−12≤2 .
In the second test case, you have to change the value di for all three guns. For example, you can set d=[5151,5100,5050] .
In the third test case, all guns are already balanced, so you don't have to change anything.