Marinada '24

[lang=hr] Da na ploču zapišemo brojeve $2^{3336}$ i $5^{3336}$ trebalo bi nam jako jako dugo. Vjerojatno bi nam trebalo toliko dugo da bismo prije umrli nego uspjeli zapisati te brojeve do kraja. Na sreću za našeg $Frenda$ Ivana, on je $Besmrtan$ pa može zapisati svih $n$ znamenaka od $2^{3336}$ i svih $m$ znamenaka od $5^{3336}$. Prije nego je počeo pisati rekao Vam je $Dođi$ $pa$ $vidi$. Budite mudriji od Ivana i prije njega izračunajte koliko je $n + m$. [/lang] [lang=en] If we were to write down the numbers $2^{3336}$ and $5^{3336}$ on a board, it would take an extremely long time—probably so long that we'd die before we could finish writing them. Luckily for our friend Ivan, he is $Immortal$ and can write all $n$ digits of $2^{3336}$ and all $m$ digits of $5^{3336}$. Before he started writing, he told you, "$Come$ $and$ $see$." Be wiser than Ivan and calculate $n + m$ before him. [/lang]