I need help with this question: Prove the algorithm Merge(A,B) is correct using induction. The algorithm is as follows:
Posted: Sun May 15, 2022 10:12 am
I need help with this question:
Prove the algorithm Merge(A,B) is correct using induction.
The algorithm is as follows:
Merge(A, B) algorithm
(1) If A is an empty array then output B.
(2) If B is an empty array then output A.
(3) If A[0] < B[0] then output the array (A[0], Merge(A1 ,
B)).
(4) If B[0] ≤ A[0] then output the array (B[0], Merge(A, B1
)).
Prove the algorithm Merge(A,B) is correct using induction.
The algorithm is as follows:
Merge(A, B) algorithm
(1) If A is an empty array then output B.
(2) If B is an empty array then output A.
(3) If A[0] < B[0] then output the array (A[0], Merge(A1 ,
B)).
(4) If B[0] ≤ A[0] then output the array (B[0], Merge(A, B1
)).