We give an answer to the last open problem of F. Takens 2008 which is related to “historic behavior” of dynamical systems. For this purpose, existence of non-trivial wandering domains near a homoclinic tangency has a significant role, which is conjectured by E. Colli and E.Vargas 2001. Concretely speaking, we show that any Newhouse open set in the $C^{infty}$ topology of two-dimensional diffeomorphisms is contained in the closure of the set of diffeomorphisms which have wandering domains whose forward orbits have historic behavior. Moreover, this result implies an answer in the $C^{infty}$ category to one of the open problems of S. van Strien 2010 which is concerned with wandering domains for H’enon family. This study is a joint research with Soma Teruhiko.