Vrijeme: 11:06

Weirdgebra #2

Marica, šokirana nakon geometrijske interpretacije prošlog zadatka, vjerovala je da ne postoji još zadataka koji imaju tako drugačiju interpretaciju. Međutim, Ivica s podsmjehom Marici postavlja sljedeće pitanje:

Odredi vrijednost sljedećeg izraza modulo 1023

\binom{1012}{1}+2\binom{1012}{2}+\cdots+1011\binom{1012}{1011}+1012\binom{1012}{1012}

Marica, shocked after the geometric interpretation of the previous problem, believed that there were no more tasks with such an unusual interpretation. However, Ivica, with a smirk, poses the following question to Marica:

Determine the value of the following expression modulo 1023. \binom{1012}{1}+2\binom{1012}{2}+\cdots+1011\binom{1012}{1011}+1012\binom{1012}{1012}