Given two numbers you are required to check whether they are anagrams of each other or not in binary representation.

Examples:

Input : a = 8, b = 4 Output : Yes Binary representations of both numbers have same 0s and 1s. Input : a = 4, b = 5 Output : No

We have existing solution for this problem please refer Check if binary representations of two numbers are anagram link. We can solve this problem quickly in python using Counter(iterable) method and **Dictionary Comparison**. Approach is simple,

- Convert both number into it’s binary using bin() function.
- Since binary representation of both numbers could differ in length so we will append zeros in start of shorter string to make both string of equal length. ie.; append zeros = abs(len(bin1)-len(bin2)).
- Convert both output string containing 0 and 1 returned by bin function into dictionary using
**Counter()**function, having 0 and 1 keys and their count as value. Compare both dictionaries, if value of 0’s and 1’s in both dictionaries are equal then binary representations of two numbers are anagram otherwise not.

`# function to Check if binary representations` `# of two numbers are anagram` `from` `collections ` `import` `Counter` ` ` `def` `checkAnagram(num1,num2):` ` ` ` ` `# convert numbers into in binary` ` ` `# and remove first two characters of ` ` ` `# output string because bin function ` ` ` `# '0b' as prefix in output string` ` ` `bin1 ` `=` `bin` `(num1)[` `2` `:]` ` ` `bin2 ` `=` `bin` `(num2)[` `2` `:]` ` ` ` ` `# append zeros in shorter string` ` ` `zeros ` `=` `abs` `(` `len` `(bin1)` `-` `len` `(bin2))` ` ` `if` `(` `len` `(bin1)>` `len` `(bin2)):` ` ` `bin2 ` `=` `zeros ` `*` `'0'` `+` `bin2` ` ` `else` `:` ` ` `bin1 ` `=` `zeros ` `*` `'0'` `+` `bin1` ` ` ` ` `# convert binary representations ` ` ` `# into dictionary` ` ` `dict1 ` `=` `Counter(bin1)` ` ` `dict2 ` `=` `Counter(bin2)` ` ` ` ` `# compare both dictionaries` ` ` `if` `dict1 ` `=` `=` `dict2:` ` ` `print` `(` `'Yes'` `)` ` ` `else` `:` ` ` `print` `(` `'No'` `)` ` ` `# Driver program` `if` `__name__ ` `=` `=` `"__main__"` `:` ` ` `num1 ` `=` `8` ` ` `num2 ` `=` `4` ` ` `checkAnagram(num1,num2)` ` ` |

Output:

Yes

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