# Extra Lab - Algorithm Complexity ### Q1 ``` for (int i = 0; i < n; i++) { for (int j = 0; j < n / 2; j++) { for (int k = 0; k < n / 1000; k++) { //something to run } } } ``` ### Q2 ``` for (int x = n; x > 10; x /= 2) { //something to run } ``` ### Q3 ``` int g = 1; while (g < n) { for (int v = 1; v < n - 9; v++) { //something to run } g *= 3; } ``` ### Q4 ``` int i = 1; while (i < n) { i *= 2; method1(n); } public static void method1(int n) { for (int i = 0; i < n / 4; i++) { //something to run } } ``` ### Q5 ``` public static void method2(int n) { //something to run if (n > 10) method2(n / 5); } ``` ### Q6 ``` public static int method3(int n) { //something to run if (n > 10) { return (method3(n - 6)); } else return 1; } ``` ### Q7 ``` public static int method4(int n) { //something to run if (n > 1) { return (method4(n - 1) + method4(n - 1)); } else return 1; } ``` ## Answer ``` q1 O(n^3) q2 O(log n) q3 O(n log n) q4 O(n log n) q5 O(log n) q6 O(n) q7 O(2^n) ```