# Practice on Toph

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Shikamaru is the most brilliant student of his class. He is very good at Mathematics. Mr. Asuma is their math teacher. Today he taught the class about square numbers. A square number is a non-negative integer which is the product of some integer with itself. For example, 0, 1, 4, 9, 16, 25 are square numbers, but 2, 3, 5, 6 are not. Mr. Asuma wanted to test whether his students can identify square numbers or not. So he gave them a homework.

He gave them an array A[ consisting of n integers and asked q questions. In each question, he gave them two integers l and r which denotes two positions of the array. The students have to tell whether the product of all the integers between the two positions (l and r inclusive) is a square number or not. In other words, they have to compute the value of P represented as the following:

`$ P = \prod\limits_{i=l}^r A_i $`

And check whether it is a square or not. The array follows 1-based indexing.

After returning home, Shikamaru started doing his homework. He was able to answer some of the questions correctly, but later some of the products P became so huge and he could not identify whether they are square or not. Can you help Shikamaru doing his homework?

The first line contains two integers **n** (1 ≤ n ≤ 10^{5}) and **q** (1 ≤ q ≤ 10^{5}). The second line contains n integers **A _{1}**,

For each question print “Yes” if the product is a square, otherwise print “No” in a separate line.

Input | Output |
---|---|

6 4 4 1 2 0 -3 -3 1 1 2 3 4 4 5 6 |
Yes No Yes Yes |

For the first input, the product is 4. It is a square number. For the second input, the product is 1×2 = 2. It is not a square number. For the third input, the product is 0. It is a square number. For the fourth input, the product is (-3)×(-3) = 9. It is a square number. |

45% Solution Ratio

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rayhan50001Fastest, 0.1s

nitaibanikLightest, 1.8 MB

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