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## Data Structure Questions and Answers-Longest Increasing Subsequence

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Question 1 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

The longest increasing subsequence problem is a problem to find the length of a subsequence from a sequence of array elements such that the subsequence is sorted in increasing order and it's length is maximum. This problem can be solved using .....

Recursion | |

Dynamic programming | |

Brute force | |

All of the mentioned |

Question 1 Explanation:

The longest increasing subsequence problem can be solved using all of the mentioned methods.

Question 2 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

Find the longest increasing subsequence for the given sequence:

{10, -10, 12, 9, 10, 15, 13, 14}

{10, 12, 15} | |

{10, 12, 13, 14} | |

{-10, 12, 13, 14} | |

{-10, 9, 10, 13, 14} |

Question 2 Explanation:

The longest increasing subsequence is {-10, 9, 10, 13, 14}.

Question 3 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

Find the length of the longest increasing subsequence for the given sequence:

{-10, 24, -9, 35, -21, 55, -41, 76, 84}

5 | |

4 | |

3 | |

6 |

Question 3 Explanation:

The longest increasing subsequence is {-10, 24, 35, 55, 76, 84} and it's length is 6.

Question 4 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

For any given sequence, there will ALWAYS be a unique increasing subsequence with the longest length.

True | |

False |

Question 4 Explanation:

For a given sequence, it is possible that there is more than one subsequence with the longest length.

Consider, the following sequence: {10, 11, 12, 1, 2, 3}:

There are two longest increasing subsequences: {1, 2, 3} and {10, 11, 12}.

Question 5 [CLICK ON ANY CHOICE TO KNOW MCQ multiple objective type questions RIGHT ANSWER] |

The number of increasing subsequences with the longest length for the given sequence are:

{10, 9, 8, 7, 6, 5}

3 | |

4 | |

5 | |

6 |

Question 5 Explanation:

Each array element individually forms a longest increasing subsequence and so, the length of the longest increasing subsequence is 1. So, the number of increasing subsequences with the longest length is 6.

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