Imagine a future generation communicating via an emoji$-$based language. They can also

do some basic math with the same language. Consider the following example:

Our goal is to interpret this particular mysterious addition operation given in above figure. More specifically, given the two emojicexpressions

as summands and their addition result as another emojic$-$expression above, we would like to assign a different digit to

each emoji in the emojic$-$expressions $($in the two summands and the summation result$),$ without leading zeros $($i$.$e$.,$ the first digit of

each number, the couple and family emojis in the above example, cannot be zero$),$ such that the summation in our decimal system

is correct. An example solution is as follows:

$4$

$1$ import itertools

$2$ function EnumerateOrderedDigits$($int n$)$:

$3$ return list$($itertools$.$permutations$($range$(10),$n$))$

$4$ function SolveMyEmojiPuzzle$()$:

$5$ Emojis $=[$couple$,$family$,$heart$,$smiley$,$dog$,$cat$]$

$6$ OrderedDigits $=$ EnumerateOrderedDigits$(6)$

$7$ OrderedDigits $=[$od for od in OrderedDigits if od$[0]!=0$ and od$[1]!=0]$

$8$ List$\_$of$\_$EmojiDigitAssignments $=[$dict$($zip$($Emojis$,$od$))$ for od in OrderedDigits$]$

$9$ Solutions $=[]$

$10$ for assignment in List$\_$of$\_$EmojiDigitAssignments:

$11$ if assignment correctly solves the puzzle:

$12$ Add $($summand$,$summation result$)$ to Solutions

$13$ # E$.$g$.,$ we should have $(765,1530)$ in Solutions

$14$ return Solutions

$($a$)$ Implement the algorithm provided as in the pseudocode above. Note that emoji has all lowercase letters. Your function should

return list of all the solutions stored as tuple of strings in the format $(3-$digit$-$number$,3-$digit$-$number$,$ corresponding$-$sum$).$

Sample function call and expected inputs$/$outputs are provided below.

$1$ emoji$\_$solutions $=$ SolveMyEmojiPuzzle$()$ # emoji$\_$solutions is a list of tuples of strings

$2$ # emoji$\_$solutions $=[(734,734,1468),(765,765,1530),...]$ code in python