Bad Prices ( Codeforces Round #582 )

Polycarp analyzes the prices of the new berPhone. At his disposal are the prices for nn last days: a1,a2,…,ana1,a2,…,an, where aiai is the price of berPhone on the day ii.

Polycarp considers the price on the day ii to be bad if later (that is, a day with a greater number) berPhone was sold at a lower price. For example, if n=6n=6 and a=[3,9,4,6,7,5]a=[3,9,4,6,7,5], then the number of days with a bad price is 33 — these are days 22 (a2=9a2=9), 44 (a4=6a4=6) and 55 (a5=7a5=7).

Print the number of days with a bad price.

You have to answer tt independent data sets.

Input

The first line contains an integer tt (1≤t≤100001≤t≤10000) — the number of sets of input data in the test. Input data sets must be processed independently, one after another.

Each input data set consists of two lines. The first line contains an integer nn (1≤n≤1500001≤n≤150000) — the number of days. The second line contains nn integers a1,a2,…,ana1,a2,…,an (1≤ai≤1061≤ai≤106), where aiai is the price on the ii-th day.

It is guaranteed that the sum of nn over all data sets in the test does not exceed 150000150000.

Output

Print tt integers, the jj-th of which should be equal to the number of days with a bad price in the jj-th input data set.

Example

input

Copy

5
6
3 9 4 6 7 5
1
1000000
2
2 1
10
31 41 59 26 53 58 97 93 23 84
7
3 2 1 2 3 4 5

output

Copy

3
0
1
8
2

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分析：逆序遍历，如果当前值的大于当前值最小值，就计数++，否则，更新当前最小值

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