CF1861D.Sorting By Multiplication
普及/提高-
通过率:0%
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题目描述
You are given an array a of length n , consisting of positive integers.
You can perform the following operation on this array any number of times (possibly zero):
- choose three integers l , r and x such that 1≤l≤r≤n , and multiply every ai such that l≤i≤r by x .
Note that you can choose any integer as x , it doesn't have to be positive.
You have to calculate the minimum number of operations to make the array a sorted in strictly ascending order (i. e. the condition a1<a2<⋯<an must be satisfied).
输入格式
The first line contains a single integer t ( 1≤t≤104 ) — the number of test cases.
The first line of each test case contains one integer n ( 1≤n≤2⋅105 ) — the length of the array a .
The second line of each test case contains n integers a1,a2,…,an ( 1≤ai≤109 ) — the array a .
Additional constraint on the input: the sum of n over all test cases does not exceed 2⋅105 .
输出格式
For each test case, print one integer — the minimum number of operations required to make a sorted in strictly ascending order.
输入输出样例
输入#1
3 5 1 1 2 2 2 6 5 4 3 2 5 1 3 1 2 3
输出#1
3 2 0
说明/提示
In the first test case, we can perform the operations as follows:
- l=2 , r=4 , x=3 ;
- l=4 , r=4 , x=2 ;
- l=5 , r=5 , x=10 .
After these operations, the array a becomes [1,3,6,12,20] .In the second test case, we can perform one operation as follows:
- l=1 , r=4 , x=−2 ;
- l=6 , r=6 , x=1337 .
After these operations, the array a becomes [−10,−8,−6,−4,5,1337] .In the third test case, the array a is already sorted.