Allow us to characterize the terrorizing worth of a succession as the amount of the number of slopes and the number of valleys in the arrangement. You can change precisely one integer in the succession to any number that you need, or let the grouping stay unaltered. What is the base terrorizing esteem that you can accomplish

Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter13: Decision Making Under Uncertainty
Section13.4: Decision Trees
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Allow us to characterize the terrorizing worth of a succession as the amount of the number of slopes and the number of valleys in the arrangement. You can change precisely one integer in the succession to any number that you need, or let the grouping stay unaltered. What is the base terrorizing esteem that you can accomplish? 

 

Input 

 

The main line of the input contains a solitary integer t (1≤t≤10000) — the number of experiments. The portrayal of the experiments follows. 

 

The main line of each experiment contains a solitary integer n (1≤n≤3⋅105). 

 

The second line of each experiment contains n space-isolated integers a1, a2, ..., an (1≤ai≤109). 

 

It is ensured that the amount of n over all experiments doesn't surpass 3⋅105. 

 

Output 

 

For each experiment, print a solitary integer — the base terrorizing esteem that you can accomplish.

 

 

 

 

 

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