Paint House

There is $n$ house in village where you living. each house has some color $c_i$ $(1 \le c_i \le n)$. You have $n$ Color. You want to paint all house in same color(you can paint all houses in any color you want ). In one day you can repaint any house in any of the $n$ color. You have infinite amount of color of all type. Print minimum days it take to paint all house in same color. Yo