polegajcym
Polegajcym is not a separate lexical entry in standard Polish; it is a non-diacritic representation often encountered in ASCII texts for the present participle form polegający/polegającego of the verb polegać, meaning to rely on or to be based on. In correct, diacritic-rich Polish, the instrumental singular masculine form is polegającym, and the related feminine form is polegającą. The form polegajcym would be considered a misspelling or an ASCII approximation of polegającym.
Polegajacy, polegający and their declined forms function as adjectives or participles derived from polegać. They describe
Usage notes: polegający is declined like an adjective, with masculine singular instrumental form polegającym, feminine singular
In summary, polegajcym is an unofficial ASCII rendition of the standard Polish form polegającym, used to describe