1. Data Structures and Algorithms Lecture # 1 Book: Fundamentals of Data Structures in c++ Horwitz, Sahani, and Mehta

15. Abstraction Vs. Implementation Two dimensional array User’s view (abstraction) System’s view (implementation) 54 345 106 0 99 82 76 22 64 38 2 3 6 3 5 1 54 345 106 0 99 82 76 22 64 38 2 3 6 3 5 1

25. found=false; while (( ! Found) && (low<= high)) { mid = (low + high)/2; if( A[mid]==key) found=true; else if ( A[mid] > key) high = mid – 1; else low = mid +1; } Key=29 73 55 50 48 47 32 29 28 22 15 12 10 7 5 3 2 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 0

31. Example 1 – Summing of a list of numbers (Step count Table) 2n+3 Total 0 0 0 } 1 1 1 return temp; N n 1 temp+=list[i] ; n + 1 n + 1 1 for (i=0;i<n; i++) 0 0 0 int i ; 1 1 1 float temp=0; 0 0 0 { 0 0 0 Float sum (float list[],int n) Total Steps Frequency S/e Statement

34. ----------------------  n growth