Square Numbers#2804

Square Numbers

1 secondo

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A number is called square if the sum of its digits is equal to the square of a natural number.

For example, the number $88$ is square because the sum of its digits is $8 + 8 = 16$ 8+8=16, which is the square of $4$ . In contrast, the number $23$ is not square since the sum of its digits is $2 + 3 = 5$ 2+3=5, and there is no natural number whose square is $5$ .

Determine if the given natural number is square.

Input

A single natural number not exceeding $1 0^{9}$ 10^9.

Output

Print Yes if the given number is square; otherwise, print No.

Esempi

Esempio 1

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8 + 8 = 16

2 + 3 = 5

1 0^{9}