How to Solve Count K- Reducible Numbers Less Than N Problem
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Count K-Reducible Numbers Less Than N
You are given a binary string s representing a number n in its binary form. You are also given an integer k. An integer x is called k-reducible if performing the following operation at most k times re...
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Understanding the Count K- Reducible Numbers Less Than N Problem
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Problem Statement
You are given a binary string s representing a number n in its binary form. You are also given an integer k. An integer x is called k-reducible if performing the following operation at most k times reduces it to 1: Replace x with the count of set bits in its binary representation. For example, the binary representation of 6 is "110". Applying the operation once reduces it to 2 (since "110" has two set bits). Applying the operation again to 2 (binary "10") reduces it to 1 (since "10" has one set bit). Return an integer denoting the number of positive integers less than n that are k-reducible. Since the answer may be too large, return it modulo 109 + 7.
Count K-Reducible Numbers Less Than N
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Examples
s = "111", k = 13n = 7. The 1-reducible integers less than 7 are 1, 2, and 4.
s = "1000", k = 26n = 8. The 2-reducible integers less than 8 are 1, 2, 3, 4, 5, and 6.
s = "1", k = 30There are no positive integers less than n = 1, so the answer is 0.
Constraints
1 <= s.length <= 800s has no leading zeros.s consists only of the characters '0' and '1'.1 <= k <= 5How Interview Coder Helps with Leetcode Problems
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