nejrychlejím
"Nejrychlejším" is the genitive singular masculine/neuter form of the Czech superlative adjective "nejrychlejší," meaning "fastest." This form is used when the noun it modifies is singular, masculine or neuter, and is the object of a preposition or a verb that requires the genitive case. For example, in the sentence "Hledám nejrychlejším způsobem," the word "způsobem" (way) is masculine, and the verb "hledám" (I am looking for) can take the genitive case. Therefore, "nejrychlejším" modifies "způsobem" to mean "the fastest way."
In Czech grammar, case endings change depending on the gender, number, and grammatical function of the noun.