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Decrease and conquer

Ghezala Mohamed English

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Decrease and conquer

  • Reduce problem instance to smaller instance of the same problem - Solve smaller instance - Extend solution of smaller instance to obtain solution to original instance - Can be implemented either top-down or bottom-up - Also referred to as inductive or incremental approach ----------------------------------------
  1. Decrease by a constant (usually by 1)

    • ex: aˆn reduce it to aˆn-1
    • insertion sort
      • Sort  6, 4,  1, 8, 5  6 | 4   1 8   5   start by 6 4   6 | 1   8 5       then compare 4    1   4 6 | 8   5 1   4 6   8 | 5 1   4 5   6 8
    • topological
  2. Decrease by factor

    • decrease by half,third .... ex:3ˆ8 = 3ˆ4*3ˆ4
  3. Decrease by variable size

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Mind Map on Decrease and conquer, created by Ghezala Mohamed on 19/10/2018.
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Ghezala Mohamed
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