Prove that the time complexity of the pseudocode below is O(Log n). for (int i = 1; i <=n; i *= c) { // some O(1) expressions } for (int i = n; i > 0; i /= c) { // some O(1) expressions }
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Prove that the time complexity of the pseudocode below is O(Log n).
for (int i = 1; i <=n; i *= c) {
// some O(1) expressions
}
for (int i = n; i > 0; i /= c) {
// some O(1) expressions
}
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- An algorithm was introduced for finding integers a, b for anym, n where m, n are positive such that am+bn = gcd(m, n). Implementthis algorithm as a Python programWhat is the time complexity of given loop.Find the time complexity of the following code, for (i=1: iWhat are the complexities of the following code segments in terms of n? Give an upper bound. a) int i=1;while (i<= n) { int j = i; while (j > 0) j = j/2;i++; } b) int i,j s=0; for (i=0; i<n; i++) { i--; s++; if (s == n) { i++; s = 0; } } c) while (n > 0) { for (int i=0; i<n; i++) sum++; n = n/2; }What is the time complexity of the following code: for( int i = n; i> 0; i-- ) { for( int j = 1:j = 1; k/= 2){ // constant number of operations } } } O a. O(n?) O b. O(n³logn) O. O(n?logn) O d. O(nlogn)List two ways to rewrite the following code with code optimization methods for(i=0;iThe time complexity of the following code is O(n^2). In C++, write a code to confirm the time complexity of the following pseudocode: int j = 2 while (j<n) { int k = j while (k<n) { sum += a[k]=b[k] k += n^1/3 log n } j = j*sqrt(5) }Answer the given question with a proper explanation and step-by-step solution. Calculate the time complexity of the function: int a = 0; for(int i = 0; i < n; i++){ a += i; } int b = 0; for(int j = 0; j < m; j++){ b += j; }Please analyze the run time of the following two programs in terms of the tightest Big O.What is the running time of the following piece of code for a given integer n: x=2; while(xAnswer (JAVA LANGUAGE) 1) a. for (int i = 0; true; i++) System.out.println(a[i]); b. for (int i = 0; true; i++) ; %3D Which loop statement System.out.println (a[i]); outputs the elements of c. for (int i = 0; i <= a.length; i++) %3D array 'a'? System.out.println (a[i]); d. for (int i = 1; i <= a.length ; i+t) System.out.println (a[i-1]); e. None of the above for (int i = 0; i < a.length; i++) 2) Which if statement on the %3D right should be used inside a. if (a[i] $ 2 = 1) !! the for loop to check for b. if (ali] % 2 != 1) the odd elements in array c. if(i$2 1) 'a'? d. if (a[i] % 2 == 1) e. None of the above a. if (a [i-n] 8 2 0) 3) To check if the last element in an integer array b. if (a[n-1] % 2 0) == 'a' is even we write : f. if (a[a.length-i] % 2 g. if (a [a.length-1] % 2 0) 0) h. None of the aboveRecommended textbooks for youDatabase System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill Education
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