# Running Rivalry

Alice and Bob have taken up running and are interested in tracking their progress by comparing their daily distances.

For a stretch of $N$ days, Alice ran $A_i$ meters and Bob ran $B_i$ meters on day $i$.

On any given day,

- Alice feels
*discontent*if Bob's distance is**more than double**hers, and*content*otherwise. - Bob feels
*discontent*if Alice's distance is**more than double**his, and*content*otherwise.

For instance, on a specific day:

- Should Alice run $200$ meters and Bob $500$, Alice would be discontent while Bob would be content.
- Should Alice cover $500$ meters and Bob $240$, Alice would be content while Bob would be discontent.
- If Alice runs $300$ meters and Bob $500$, both would find contentment.

Determine the number of days where **both** Alice and Bob felt content.

## Input Format

- The initial line of input presents a single integer $T$, representing the count of test cases.
- Each test case is divided into three lines.
- The opening line of a test case states a single integer $N$ — the count of days.
- The subsequent line lists $N$ integers separated by spaces $A_1, A_2, \ldots, A_N$ — the distances Alice ran each day.
- The last line also lists $N$ integers separated by spaces $B_1, B_2, \ldots, B_N$ — the distances Bob ran each day.

## Output Format

For every test case, report in a new line the tally of days when **both** Alice and Bob were content.

## Constraints

- $1 \leq T \leq 1000$
- $1 \leq N \leq 100$
- $1 \leq A_i, B_i \leq 10^5$

## Sample Test Cases (with explanations)

### Case #1:

Input:

`4 3 100 200 300 300 200 100 4 1000 1000 1000 1000 400 500 600 1200 4 800 399 1400 532 2053 2300 3400 23 5 800 850 900 950 1000 600 800 1000 1200 1400`

Output:

`1 3 0 5`

#### Explanation

**Test case $1$:** Alice is discontent on the first day, as her $100$ meters is significantly less than Bob's $300$; Bob's distance being over twice of Alice's.

On the contrary, Bob is discontent on the third day.

The second day sees both Alice and Bob content, leading to the answer being $1$.

**Test case $2$:** Day $1$ has Bob discontent but content on the remaining days, whereas Alice is content throughout, making them both content on three days — the second, third, and fourth days.

**Test case $3$:** Days $1, 2, 3$ see Alice discontent and day $4$ sees Bob discontent.

**Test case $4$:** Across all five days, both Alice and Bob are content.