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Engineering
Data Structures and Algorithms
5. For a list A define the algorithm sort as follows: function sort (A,L, R): select the smallest element in A[L,...,R] and swap it with A[L] if R-L 1: sort (A [L+1,... ,R]) end if end function " Prove by induction that for any list A that sort (A,0,len (A)-1) is sorted. Solution: [15 pts]

5. For a list A define the algorithm sort as follows: function sort (A,L, R): select the smallest element in A[L,...,R] and swap it with A[L] if R-L 1: sort (A [L+1,... ,R]) end if end function " Prove by induction that for any list A that sort (A,0,len (A)-1) is sorted. Solution: [15 pts]

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5. For a list A define the algorithm sort as follows: function sort (A,L, R): select the smallest element in A[L,...,R] and swap it with A[L] if R-L 1: sort (A [L+1,... ,R]) end if end function " Prove by induction that for any list A that sort (A,0,len (A)-1) is sorted. Solution: [15 pts]
Transcribed Image Text:5. For a list A define the algorithm sort as follows: function sort (A,L, R): select the smallest element in A[L,...,R] and swap it with A[L] if R-L 1: sort (A [L+1,... ,R]) end if end function " Prove by induction that for any list A that sort (A,0,len (A)-1) is sorted. Solution: [15 pts]
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