AT_abc390_b [ABC390B] Geometric Sequence

You are given a length- $ N $ sequence $ A=(A_1,A_2,\ldots,A_N) $ of positive integers. Determine whether $ A $ is a geometric progression.

The input is given from Standard Input in the following format: > $ N $ $ A_1 $ $ A_2 $ $ \ldots $ $ A_N $

If $ A $ is a geometric progression, print `Yes`; otherwise, print `No`.

### Sample Explanation 1 $ A=(3,6,12,24,48) $ . $ A $ is a geometric progression with first term $ 3 $ , common ratio $ 2 $ , and five terms. Therefore, print `Yes`. ### Sample Explanation 2 $ A=(1,2,3) $ . Since $ A_1 : A_2 = 1 : 2 \neq 2 : 3 = A_2 : A_3 $ , $ A $ is not a geometric progression. Therefore, print `No`. ### Sample Explanation 3 $ A $ is a geometric progression with first term $ 10 $ , common ratio $ 0.8 $ , and two terms. Therefore, print `Yes`. ### Constraints - $ 2 \leq N \leq 100 $ - $ 1 \leq A_i \leq 10^9 $ - All input values are integers.