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# Algorithm Interview Questions and Answers

### Ques 1. What is the purpose of Dijkstra's algorithm?

Dijkstra's algorithm is used to find the shortest paths from a source vertex to all other vertices in a weighted graph. It works for graphs with non-negative edge weights.

### Ques 2. Explain the concept of backtracking.

Backtracking is a general algorithm for finding all (or some) solutions to computational problems, particularly constraint satisfaction problems. It incrementally builds candidates for solutions and abandons a candidate as soon as it determines it cannot be completed to a valid solution.

### Ques 3. What is the purpose of the Bellman-Ford algorithm?

The Bellman-Ford algorithm is used to find the shortest paths from a source vertex to all other vertices in a weighted graph. It can handle graphs with negative weight edges, but it detects and reports negative weight cycles.

### Ques 4. Explain the concept of topological sorting.

Topological sorting is an ordering of the vertices of a directed acyclic graph (DAG) such that for every directed edge (u, v), vertex u comes before v in the ordering. It is used in scheduling and task sequencing.