# GATE Papers >> CSE >> 2015 >> Question No 13

Question No. 13

Match the following:

 (P) Prim’s algorithm for minimum spanning tree (i) Backtracking (Q) Floyd – Warshal algorithm for all pairs shortest paths (ii) Greedy method (R) Mergesort (iii) Dynamic programming (S) Hamiltonian circuit (iv) Divide and conquer

##### Answer : (C) P-ii, Q-iii, R-iv, S-i

Solution of Question No 13 of GATE 2015 CSE Paper

Prims algorithm for finding MST is a greedy algorithm. Floyd warshalls algorithm for finding all shortest paths is dynamic algorithm.

Merge sort is a Divide and Conquer algorithm. Hamiltonian circuit is an NP-complete problem and done by using backtracking.

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