D - 約数 /

### 問題文

• X の正の約数の個数の方が多いなら X と出力し、
• Y の正の約数の個数の方が多いなら Y と出力し、
• 両者が等しいなら Z と出力してください。

### 制約

• 1 \leq X, Y \leq 10^6
• X, Y は整数

### 入力

X Y


### 入力例 1

4 6


### 出力例 1

Y


4 の正の約数は 1, 2, 43 つであり、6 の正の約数は 1, 2, 3, 64 つです。 6 の正の約数の方が 4 の正の約数より多いので、Y を出力します。

### 入力例 2

6 4


### 出力例 2

X


### 入力例 3

3 5


### 出力例 3

Z


Score : 7 points

### Warning

Do not make any mention of this problem until October 2, 2021, 6:00 p.m. JST. In case of violation, compensation may be demanded. After the examination, you can reveal your total score and grade to others, but nothing more (for example, which problems you solved).

### Problem Statement

You are given positive integers X and Y. Compare the number of positive divisors of X and that of Y.

• If X has more positive divisors than Y does, print X.
• If Y has more positive divisors than X does, print Y.
• If X and Y have the same number of divisors, print Z.

### Constraints

• 1 \leq X, Y \leq 10^6
• X and Y are integers.

### Input

Input is given from Standard Input in the following format:

X Y


### Sample Input 1

4 6


### Sample Output 1

Y


4 has three positive divisors: 1, 2, and 4, while 6 has four positive divisors: 1, 2, 3, and 6. Since 6 has more positive divisors than 4 does, you should print Y.

### Sample Input 2

6 4


### Sample Output 2

X


### Sample Input 3

3 5


### Sample Output 3

Z