Explanation

563.Count Iterations When Multiplying by Two

Easy
For the loop i = 1; while (i < n) { i *= 2; }, return how many times it runs. Multiplying the loop variable is the mirror image of dividing it: instead of shrinking n towards 1, it grows i towards n, doublingExponential Growth of the Loop VariableBecause i doubles each pass, it reaches n after only about log₂(n) passes. each time. Either way the loop runs about log₂(n) times, so loops like for (i = 1; i < n; i *= 2) are O(log n).

Example 1:

Input: n = 10

Output: 4

Example 2:

Input: n = 16

Output: 4

+ 5 hidden test cases run on Submit.

Constraints:

  • ●1 ≤ n ≤ 1000000000

n =

10