Lu, Yukuan

Union Find algorithm.

Ref:

• 算法设计与分析(Algorithm design and analysis) by 黄宇
• 并查集（Union-Find）算法 by labuladong

Outline

• Lower bound and adversary argument
• Selection - select the median
  • Expected linear time
  • Worst-case linear time
• A Lower bound for Finding the Median

Ref:

• 算法设计与分析(Algorithm design and analysis) by 黄宇

Latex grammer.

Oultline

• MergeSort
  • Worst-case analysis of MergeSort
  • More than sort: the MergeSort D&C
• Lower Bounds for comparison-based sorting ( nlogn )
  • Worst-case ( Omega(nlogn) )
  • Average-case (nlogn - 1.443n )

Ref:

• 算法设计与分析(Algorithm design and analysis) by 黄宇

Outline:

• Heap

• HeapSort

• FixHeap

• ConstructHeap

• Accelerated HeapSort

Ref:

• 算法设计与分析(Algorithm design and analysis) by 黄宇

Outline:

• Inversion

• InsertionSort

• Analysis of InsertionSort

• QuickSort

• Analysis of QuickSort

Ref:

• 算法设计与分析(Algorithm design and analysis) by 黄宇

Outline

• Recursion in algorithm design
  • The divide and conquer strategy
  • Proving the correctness of recursive procedures
• Solving recurrence equations
  • Some elementary techniques
  • Master theorem

Ref:

• 算法设计与分析(Algorithm design and analysis) by 黄宇

Outline:

• How to Compare Two Algorithms
• Brute Force by Iteration
• Brute Force by Recursion

Ref:

• 算法设计与分析(Algorithm design and analysis) by 黄宇

There is no whiz, bang effect

That's made up of 1s and 0s

That takes a special talent

Ref:

• 算法设计与分析(Algorithm design and analysis) by 黄宇

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