Write a program **to find if the given numbers are Amicable**. For two numbers to be amicable, the sum of the proper factors of **first number** is equal to the **second number** and sum of the proper factors of **second number** is equal to the **first number**.

For **e.g.,** the factors of 220 are 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110 and there sum is 284. Where as for 284 the factors are 1, 2, 4, 71, 142 and there is 220. So the numbers 220 and 284 are amicable. Note that although the number is factor of itself, we should not consider it while summing up.

Input (int, int) |
Output (boolean) |

`220, 284` |
true |

`150, 174` |
false |

`1184, 1210` |
true |

`512, 438` |
false |