Given an array of integers, arr, of size n

$,$

$$that represent the frequency of each element, for each element, do exactly one of these operations:

$1$

$.$

$$Leave the frequency unchanged.

$2$

$.$

$$Increase the frequency of the element by x

$.$

$3$

$.$

$$Decrease the frequency of the element by y

$.$

$4$

$.$

$$Multiply the frequency of the element by z

$.$

Find the maximum number of elements with the same frequency that can be obtained.

Example

X

$=$

$1$

y

$=$

$1$

z

$=$

$3$

n

$=$

$4$

arr

$=$

$[$

$1$

$,$

$2$

$,$

$4$

$,$

$1$

$0$

$]$

frequency.