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Solution: All Paths From Source to Target

Explore how to solve combinatorial problems by finding all paths from source to target in a directed acyclic graph. Learn to implement depth-first search with backtracking to traverse the graph, track current paths, and collect all valid solutions without cycles. This lesson helps you understand the recursive exploration technique and manage the trade-offs in time and space complexity associated with such graph problems.

Statement

You are given a directed acyclic graph (DAG) with nn nodes, labeled from 00 to n1n - 1. The graph is represented as an adjacency list, where graph[i] is a list of all nodes to which node i has a directed edge to.

Your task is to find all possible paths from node 0 ...