Problem. This problem extends to previous 1D range query problem to allow hot update of the values. If we still use the same cache sum approach, we will end up…

Problem To extend the 1D range query problem to 2D, we can still use the same cache approach but with a new “2D” formula. The new formula for calculating area E…

Problem. This is a very straight forward rage cache problem since the only required operation is a range summation query. The way I handle this problem is to cache the…