mathematicians don't toil all night doing computations. we have a joke: a mathematician is done when he proves that x exists and may be found. he leaves what x actually is to some engineer to plug in the numbers. the advanced version is that a mathematician stops at "a solution exists!"
which is to say, please have a look at justifying why you should count any particular words in any particular way and relate them, and how they should be counted and related as being very, very important, even to the exclusion of the result. what counting means. what relations are. otherwise, it it is meaningless data, now matter how much you can chunk out. without structure and basis you'll just have a tickertape readout of random output generated by random input into an algorithm you have no definition of.
you can't add 2+2 until you know what "+" means, and what "2" means. if the question is <3,5>⊕<0,1> then you need to know a whole lot more than "4"!
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