Search⌘ K
AI Features
Home
Courses
Mastering Algorithms for Problem Solving in Python

Solution: Backtracking

Explore how to solve the minimum length addition chain problem using a recursive backtracking algorithm in Python. Understand the process of building addition chains and implementing code to find solutions. This lesson guides you through coding and logic development for this algorithmic challenge.

We'll cover the following...

Let's practice what we have learned so far.

Task

An addition chain for an integer nn is an increasing sequence of integers that starts with 11 and ends with nn, such that each entry after the first is the sum of two earlier entries. More formally, the integer sequence x0<x1<x2<⋅⋅⋅<xlx_0 < x_1 < x_2 < ··· < x_l is an addition chain for n if and only if

  • x0=1x_0 = 1,
  • xl=nx_l = n
...