Computer Science - 9210 OxfordAQA

Searching Algorithms

Gbogbo ọrọ náà

You have lost your passport somewhere in the house. One way to find it is to start in the hall and search every room in turn until you hit it. The other way, if the house is a hotel with numbered rooms and you know the number, is to walk to the middle corridor, see whether your room is above or below, and ignore half the building. Both plans find the passport. Only one of them is any use in a hotel with a thousand rooms.

Those two plans are the linear search and the binary search, and this specification wants three things from you: the mechanics of each, the ability to follow and write pseudocode for both, and a clear-eyed comparison of where each one wins. The comparison is not simply that binary is faster. Binary search demands something in return, and knowing what it demands is the difference between a two-mark answer and a four-mark one.

Ebumnobi

  1. Understand and explain how the linear search algorithm works.
  2. Understand and explain how the binary search algorithm works.
  3. Compare and contrast linear and binary search algorithms.

Maapụ uche

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Akwụkwọ Ọmụmụ

A search algorithm answers a question of the form: is this value in this collection, and if so, where? The answer usually comes back as a position, and by convention an impossible position such as -1 means the value was not there at all. Almost every program you use runs thousands of searches a second, and the specification requires two of them by name: the linear search and the binary search.

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Nnyocha Ọmụmụ

Ekele diri gi maka imecha ihe karịrị na Searching Algorithms. Ugbu a na ị na-enyochakwa isi echiche na echiche ndị dị mkpa, ọ bụ oge iji nwalee ihe ị ma. Ngwa a na-enye ụdị ajụjụ ọmụmụ dị iche iche emebere iji kwado nghọta gị wee nyere gị aka ịmata otú ị ghọtara ihe ndị a kụziri.

Ị ga-ahụ ngwakọta nke ụdị ajụjụ dị iche iche, gụnyere ajụjụ chọrọ ịhọrọ otu n’ime ọtụtụ azịza, ajụjụ chọrọ mkpirisi azịza, na ajụjụ ede ede. A na-arụpụta ajụjụ ọ bụla nke ọma iji nwalee akụkụ dị iche iche nke ihe ọmụma gị na nkà nke ịtụgharị uche.

Jiri akụkụ a nke nyocha ka ohere iji kụziere ihe ị matara banyere isiokwu ahụ ma chọpụta ebe ọ bụla ị nwere ike ịchọ ọmụmụ ihe ọzọ. Ekwela ka nsogbu ọ bụla ị na-eche ihu mee ka ị daa mba; kama, lee ha anya dị ka ohere maka ịzụlite onwe gị na imeziwanye.

  1. Which condition must be met before a binary search can be used? A. The data must be stored in a file B. The data must be numeric C. The data must be sorted D. The data must contain no duplicates Answer: C
  2. An array holds 64 sorted items. What is the maximum number of comparisons a binary search will make? A. 6 B. 8 C. 32 D. 64 Answer: A
  3. A linear search is used on an array of 40 items to look for a value that is not present. How many comparisons are made? A. 1 B. 20 C. 39 D. 40 Answer: D
  4. In an iterative binary search, which assignment is made when the middle element is smaller than the target? A. First becomes Middle B. First becomes Middle + 1 C. Last becomes Middle D. Last becomes Middle - 1 Answer: B
  5. Which of the following is an advantage of a linear search over a binary search? A. It makes fewer comparisons on large data sets B. It works on data that is not in any order C. It halves the search area at each step D. It can only be used on arrays Answer: B

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