Search⌘ K

Useful Formulae

Explore essential formulas to calculate algorithm time complexity, including summations and logarithmic expressions. Understand how these formulas apply to analyzing loops and runtime decisions, preparing you to evaluate efficiency in coding interviews.

We'll cover the following...

Formulas

Here is a list of handy formulas which can be helpful when calculating the time complexity of an algorithm:

Summation Equation
(i=1nc)=c+c+c++c\left(\sum_{i=1}^n c \right) = c + c+ c + \cdots + c cncn
(i=1ni)=1+2+3++n\left(\sum_{i=1}^n i \right) = 1+2+3+\cdots+n n(n+1)2\frac{n(n+1)}{2}
...