Given a sorted array of integers, what can be the minimum worst case time complexity to find ceiling of a number x in given array? Ceiling of an element x is the smallest element present in array which is greater than or equal to x. Ceiling is not present if x is greater than the maximum element present in array. For example, if the given array is {12, 67, 90, 100, 300, 399} and x = 95, then output should be 100.(A) O(LogLogn)(B) O(n)(C) O(Logn)(D) O(Logn * Logn)

Given a sorted array of integers, what can be the minimum worst case t

1.	Given a sorted array of integers, what can be the minimum worst case time complexity to find ceiling of a number x in given array? Ceiling of an element x is the smallest element present in array which is greater than or equal to x. Ceiling is not present if x is greater than the maximum element present in array. For example, if the given array is {12, 67, 90, 100, 300, 399} and x = 95, then output should be 100.(A) O(LogLogn)(B) O(n)(C) O(Logn)(D) O(Logn * Logn)
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Consider the following C program that attempts to locate an element x in an array Y[] using binary search. The program is erroneous. (GATE CS 2008)1. f(int Y[10], int x) {2. int i, j, k;3. i = 0; j = 9;4. do {5. k = (i + j) /2;6. if( Y[k] < x) i = k; else j = k;7. } while(Y[k] != x && i < j);8. if(Y[k] == x) printf ("x is in the array ") ;9. else printf (" x is not in the array ") ;10. }On which of the following contents of Y and x does the program fail?(A) Y is [1 2 3 4 5 6 7 8 9 10] and x < 10(B) Y is [1 3 5 7 9 11 13 15 17 19] and x < 1(C) Y is [2 2 2 2 2 2 2 2 2 2] and x > 2(D) Y is [2 4 6 8 10 12 14 16 18 20] and 2 < x < 20 and x is even
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Given a sorted array of integers, what can be the minimum worst case time complexity to find ceiling of a number x in given array? Ceiling of an element x is the smallest element present in array which is greater than or equal to x. Ceiling is not present if x is greater than the maximum element present in array. For example, if the given array is {12, 67, 90, 100, 300, 399} and x = 95, then output should be 100.(A) O(LogLogn)(B) O(n)(C) O(Logn)(D) O(Logn * Logn)

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