CF1832C.Contrast Value

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题目描述

For an array of integers [a1,a2,,an][a_1, a_2, \dots, a_n] , let's call the value a1a2+a2a3++an1an|a_1-a_2|+|a_2-a_3|+\cdots+|a_{n-1}-a_n| the contrast of the array. Note that the contrast of an array of size 11 is equal to 00 .

You are given an array of integers aa . Your task is to build an array of bb in such a way that all the following conditions are met:

  • bb is not empty, i.e there is at least one element;
  • bb is a subsequence of aa , i.e bb can be produced by deleting some elements from aa (maybe zero);
  • the contrast of bb is equal to the contrast of aa .

What is the minimum possible size of the array bb ?

输入格式

The first line contains a single integer tt ( 1t1041 \le t \le 10^4 ) — the number of test cases.

The first line of each test case contains a single integer nn ( 1n31051 \le n \le 3 \cdot 10^5 ) — the size of the array aa .

The second line contains nn integers a1,a2,,ana_1, a_2, \cdot, a_n ( 0ai1090 \le a_i \le 10^9 ) — elements of the array itself.

The sum of nn over all test cases doesn't exceed 31053 \cdot 10^5 .

输出格式

For each test case, print a single integer — the minimum possible size of the array bb .

输入输出样例

  • 输入#1

    4
    5
    1 3 3 3 7
    2
    4 2
    4
    1 1 1 1
    7
    5 4 2 1 0 0 4

    输出#1

    2
    2
    1
    3
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