+ محدودیت زمان: ۱ ثانیه
+ محدودیت حافظه: ۲۵۶ مگابایت
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As you know, it was Valentines day just a couple of days ago and just because students of SBU are amorous, we have changed the whole statement of this problem, just for you :).
Ok, Let’s talk business. We have two groups of people each standing on a line in front of the other group playing a game. Let’s name them group A and B and let’s say group A members are all females (because ladies come first) and all group B members are males. Each person has a basket for gathering flowers (of-course from the other gender 😑 ) and lots of flowers to throw for the other group. (It’s not legal to throw flowers from baskets). Each basket have a limited capacity for collecting flowers. YES we know, this is a very lovely problem. ☺
Game is played in turns (They play simultaneously). In each turn, every person should take one of it’s beautiful and fragrant flowers and throw it in to one of his/her lovers on the other side. If a person’s basket is full, he/she leaves the stage Immediately, and perhaps going to sing the love songs in the streets…. never-mind. Though it’s a game and they all enjoy playing it, it’s a game (horror songs playing… 🎶 ) and the winner is the group exiting last. In other words, a group wins the game if there are no more members of the other group on the stage. We know both group A and group B play optimally and can communicate with each other. Shamir loves valentines and he’s busy getting prepared, So it’s up to you to decide which group will win the game…
# ورودی
The first line of input shows the number of test cases $T$. Each test case will contain $3$ lines.
$$1 \leq T \leq 100$$
The first line contains two space separated integers $N$ and $M$ indicating number of group A and group B members respectively.
$$1 \leq N, M \leq 1000$$
Second and third line will contain $N$ and $M$ space separated integers indicating initial capacity of baskets for group A and B members respectively. It’s guaranteed sum of all numbers in second and third line will not exceed $10^6$.
$$ \sum a_i + \sum b_i \leq 10^6$$
# خروجی
For each test case, print in a single line whether group `A` wins or group `B`. If no one wins print `we will all sing songs together`
# مثالها
## ورودی نمونه ۱
```
1
3 6
3 4 4
1 1 1 4 3 2
```
## خروجی نمونه ۱
```
B
```