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Description

N(3<=N<=20000) ping pong players live along a west-east street(consider the street as a line
segment). Each player has a unique skill rank. To improve their skill rank, they often compete with
each other. If two players want to compete, they must choose a referee among other ping pong
players and hold the game in the referee's house. For some reason, the contestants can’t choose a
referee whose skill rank is higher or lower than both of theirs. The contestants have to walk to the
referee’s house, and because they are lazy, they want to make their total walking distance no more
than the distance between their houses. Of course all players live in different houses and the
position of their houses are all different. If the referee or any of the two contestants is different, we
call two games different. Now is the problem: how many different games can be held in this ping
pong street?

Input Format

The first line of the input contains an integer T(1<=T<=20), indicating the number of test cases,
followed by T lines each of which describes a test case.
Every test case consists of N + 1 integers. The first integer is N, the number of players. Then N
distinct integers a1, a2 … aN follow, indicating the skill rank of each player, in the order of west to
east. (1 <= ai <= 100000, i = 1 … N).

Output Format

For each test case, output a single line contains an integer, the total number of different games.

Sample Input 1

1 
3 1 2 3

Sample Output 1

1

Hints

Problem Source

Migrated from old NTUJ.

ICPC 2008, Beijing

Subtasks

No. Testdata Range Score

Testdata and Limits

No. Time Limit (ms) Memory Limit (VSS, KiB) Output Limit (KiB) Subtasks
0 10000 65536 200