Consider the following algorithms and their running times:

Algorithms Complexities
(A) Breadth First Search (I) θ(v + E)
(B) Rabin-Karp Algorithm (II) O(v + E)
(C) Depth-First Search (III) θ((n − m − 1)m)
(D) Heap sort (worst case) (IV) O(n2)
(E) Quick sort (worst case) (V) O(n lg n)


Which one of the following is correct?

1
​(A) - (III), (B) - (II), (C) - (I), (D) - (IV), (E) - (V)
2
(A) - (II), (B) - (III), (C) - (I), (D) - (IV), (E) - (V)
3
(A) - (II), (B) - (III), (C) - (I), (D) - (V), (E) - (IV)
4
(A) - (III), (B) - (I), (C) - (II), (D) - (IV), (E) - (V)

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