#3750

Minimum Number of Flips to Reverse Binary String

Easy
MathTwo PointersStringBit ManipulationTwo PointersString Manipulation
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Approaches

Brute ForceOptimal
Complexity Comparison
Brute ForceOptimal Solution
Time
O(n²)
O(n)
Space
O(1)
O(1)
💡

Intuition

Time O(n)Space O(1)

Using two pointers, we can efficiently compare bits from the start and end of the string, counting mismatches.

⚙️

Algorithm

3 steps
  1. 1Step 1: Convert n to its binary string representation.
  2. 2Step 2: Initialize two pointers, one at the start and one at the end of the string.
  3. 3Step 3: Move both pointers towards the center, counting mismatches until they meet.
solution.py8 lines
1def minFlips(n):
2    s = bin(n)[2:]
3    left, right, flips = 0, len(s) - 1, 0
4    while left < right:
5        if s[left] != s[right]: flips += 1
6        left += 1
7        right -= 1
8    return flips

Complexity note: We only traverse the string once with two pointers, leading to O(n) time complexity.

  • 1Flipping bits can be visualized as matching pairs.
  • 2Two pointers reduce unnecessary comparisons.

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