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# Data Structures :: Trie

Home > Technical Aptitude > Data Structures > Trie > General Questions
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Which of the following special type of trie is used for fast searching of the full texts?

ACtrie

BHash tree

CSuffix tree

DT tree

Explanation:

Suffix tree, a special type of trie, contains all the suffixes of the given text at the key and their position in the text as their values. So, suffix trees are used for fast searching of the full texts.

Workspace

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What traversal over trie gives the lexicographical sorting of the set of the strings?

Apostorder

Bpreorders

Cinorder

Dlevel order

Explanation:

In trie, we store the strings in such a way that there is one node for every common prefix. Therefore the inorder traversal over trie gives the lexicographically sorted set of strings.

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What is a time complexity for x pattern occurrence of length n?

AO (log n!)

BƟ (n!)

CO (n2)

DƟ (n + x)

Explanation:

Suffix tree is also known as PAT tree or position tree. It allows fast string operation. To check if a substring is present in a string of a length of n, the time complexity for such operation is found to be O (n). The time complexity for x pattern occurrence of length n is Ɵ (n + x).

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What is a time complexity for finding the longest substring that is common in string S1 and S2 (n1 and n2 are the string lengths of strings s1, s2 respectively)?

AO (log n!)

BƟ (n!)

CO (n2+ n1)

DƟ (n1 + n2)

Explanation:

Suffix Tree allows fast string operation. To check if a substring is present in a string of a length of n, the time complexity for such operation is found to be O (n). The time complexity for finding the longest substring that is common in string S1 and S2 is Ɵ (n1 + n2).

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What is a time complexity for finding the longest substring that is repeated in a string?

AO (log n!)

BƟ (n!)

CO (n2+ n1)

DƟ (n)

Explanation:

Suffix Tree allows fast string operation. To check if a substring is present in a string of a length of n, the time complexity for such operation is found to be O (n). The time complexity for finding the longest substring that is repeated in a string is Ɵ (n).

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What is a time complexity for finding frequently occurring of a substring of minimum length in a string?

AƟ (n)

BƟ (n!)

CO (n2+ n1)

DO (log n!)

Explanation:

Suffix Tree allows fast string operation. To check if a substring is present in a string of a length of n, the time complexity for such operation is found to be O (n). The time complexity for finding frequently occurring of a substring of minimum length in a string is Ɵ (n).

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Which tree allows fast implementation of string operation?

ARope Tree

BSuffix Tree

CTango Tree

DTop Tree

Explanation:

In computer science, a suffix tree is also known as PAT tree or position tree. It is a compressed search tree or prefix tree in which keys contain the suffix of text values as the text position. It allows fast string operation to be carried out by the user.

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What is a time complexity for finding the longest prefix that is common between suffix in a string?

AƟ (n)

BƟ (n!)

CƟ (1)

DO (log n!)

Explanation:

Suffix Tree allows fast string operation. To check if a substring is present in a string of a length of n, the time complexity for such operation is found to be O (n). The time complexity for finding the longest prefix that is common between suffix in a string is Ɵ (1).

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What is a time complexity for finding all the maximal palindrome in a string?

AƟ (n)

BƟ (n!)

CƟ (1)

DO (log n!)

Explanation:

Palindrome is a string that is the same when reading forward as well as backward. To check if a substring is present in a string of a length of n, the time complexity for such operation is found to be O (n). The time complexity for finding all the maximal palindrome in a string is Ɵ (n).

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What is the time complexity of Uttkonen’s algorithm?

AO (log n!)

BO (n!)

CO (n2)

DO (n log n)

Explanation:

The concept of Suffix Tree was introduced by Weiner in 1973. Ukkonen provided the first online contribution of Suffix tree which had the time complexity of the fastest algorithm of that period. Ukkonen’s algorithm had a time complexity of n log n.

Workspace

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