AT_abc454_b [ABC454B] Mapping
Description
There are $ N $ people numbered $ 1 $ through $ N $ .
There are $ M $ types of clothes numbered $ 1 $ through $ M $ . Person $ i $ is wearing clothes $ F_i $ .
Answer the following two questions with Yes or No.
- Question $ 1 $ : Are all $ N $ people wearing different types of clothes?
- Question $ 2 $ : For every one of the $ M $ types of clothes, is there at least one person wearing that type?
Input Format
The input is given from Standard Input in the following format:
> $ N $ $ M $ $ F_1 $ $ F_2 $ $ \dots $ $ F_N $
Output Format
Output two lines. The $ i $ -th line should contain `Yes` if the answer to question $ i $ is Yes, and `No` if it is No.
Explanation/Hint
### Sample Explanation 1
Everyone is wearing a different type of clothes, so the answer to question $ 1 $ is Yes.
There is no person wearing clothes $ 3 $ , so the answer to question $ 2 $ is No.
### Constraints
- $ 1 \leq N \leq 100 $
- $ 1 \leq M \leq 100 $
- $ 1 \leq F_i \leq M $
- All input values are integers.