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Data Structure · Q222

Dynamic Programming in Data Structures

Programming · Data Structure · question 222

Q222

What is the time complexity of the following dynamic programming implementation used to find the length of the longest increasing subsequence? #include int longest_inc_sub(int *arr, int len) int i, j, tmp_max; int LIS[len]; // array to store the lengths of the longest increasing subsequence LIS[0]=1; for(i = 1; i tmp_max) tmp_max = LIS[j]; LIS[i] = tmp_max + 1; int max = LIS[0]; for(i = 0; i max) max = LIS[i]; return max; int main() int arr[] = 10,22,9,33,21,50,41,60,80, len = 9; int ans = longest_inc_sub(arr, len); printf("%d",ans); return 0;

A.
O(1)
B.
O(n)
C.
O(n2)
Answer
D.
O(nlogn)

Answer: Option C

Solution

Answer: Option C
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