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Asymptotic Notation (O, ?, ? )

Asymptotic Notation (O, ?, ? ). Describes the behavior of the time or space complexity for large instance characteristics Common asymptotic functions 1 (constant), log n , n (linear) n log n , n 2 , n 3 2 n ( exponential), n!

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Insertion Sort

Insertion Sort. for (int i = 1; i < n; i++) {// insert a[i] into a[0:i-1] int t = a[i]; int j; for (j = i - 1; j >= 0 && t < a[j]; j--) a[j + 1] = a[j]; a[j + 1] = t; }. Complexity. Space/Memory Time Count a particular operation Count number of steps

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Insertion Sort

Insertion Sort. for (i = 1; i < n; i++) {/* insert a[i] into a[0:i-1] */ int t = a[i]; int j; for (j = i - 1; j >= 0 && t < a[j]; j--) a[j + 1] = a[j]; a[j + 1] = t; }. Complexity. Space/Memory Time Count a particular operation Count number of steps

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Practical complexities - PowerPoint PPT Presentation

Asymptotic Notation (O, ?, ? )

Insertion Sort

Insertion Sort