Solutions
🟒 Counting Bits

Counting Bits

Difficulty: EasyTopic: Dynamic ProgrammingBit ManipulationLeetcode:338.Counting Bits

Given an integer n, return an array ans of length n + 1 such that for each i (0 <= i <= n), ans[i] is the number of 1's in the binary representation of i.

Example 1:

Input: n = 2
Output: [0,1,1]
Explanation:
0 --> 0
1 --> 1
2 --> 10
 

Example 2:

Input: n = 5
Output: [0,1,1,2,1,2]
Explanation:
0 --> 0
1 --> 1
2 --> 10
3 --> 11
4 --> 100
5 --> 101
 

Constraints:

  • 0 <= n <= 105

Follow up:

  • It is very easy to come up with a solution with a runtime of O(n log n). Can you do it in linear time O(n) and possibly in a single pass?
  • Can you do it without using any built-in function (i.e., like __builtin_popcount in C++)?

Solution

write solution in here

/**
 * @param {number} n
 * @return {number[]}
 */
var countBits = function(n) {
  const ans = new Array(n + 1).fill(0);
  for (let i = 1; i <= n; i++) {
    ans[i] = ans[i >> 1] + (i & 1);
  }
  return ans;
};

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