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You are given two integers n and k. For any positive integer x, define the following sequence: This sequence will eventually reach the value 1. The popcount-depth of x is defined as the smallest integer d >= 0 such that pd = 1. For example, if x = 7 (binary representation "111"). Then, the sequence is: 7 → 3 → 2 → 1, so the popcount-depth of 7 is 3. Your task is to determine the number of integers in the range [1, n] whose popcount-depth is exactly equal to k. Return the number of such integers.
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You are given two integers n and k. For any positive integer x, define the following sequence: This sequence will eventually reach the value 1. The popcount-depth of x is defined as the smallest integer d >= 0 such that pd = 1. For example, if x = 7 (binary representation "111"). Then, the sequence is: 7 → 3 → 2 → 1, so the popcount-depth of 7 is 3. Your task is to determine the number of integers in the range [1, n] whose popcount-depth is exactly equal to k. Return the number of such integers.
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n = 4, k = 1
2
n = 7, k = 2
3
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Solve Number of Integers With Popcount-Depth Equal to K I — You are given two integers n and k. For any positive integer x, define the follo...
Here's the optimal approach using Math:
Time: O(n) | Space: O(n)
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