#3412
Find Mirror Score of a String
MediumHash TableStringStackSimulationHash MapArray
Approaches
Brute ForceOptimal
Complexity Comparison
| Brute Force | Optimal Solution★ | |
|---|---|---|
| Time | O(n²) | O(n) |
| Space | O(1) | O(n) |
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Intuition
Time O(n)Space O(n)
Using a stack allows us to efficiently track the indices of characters that can potentially form a mirror pair. This reduces the need to repeatedly check all previous characters.
⚙️
Algorithm
3 steps- 1Step 1: Initialize a score variable to 0 and a stack to keep track of indices.
- 2Step 2: For each character at index i, check if the stack is not empty and if the character at the top of the stack is the mirror of s[i].
- 3Step 3: If a match is found, pop the index from the stack, mark both indices, and add the difference (i - j) to the score. Otherwise, push the current index onto the stack.
solution.py11 lines
1# Full working Python code
2score = 0
3s = 'aczzx'
4stack = []
5for i in range(len(s)):
6 if stack and s[stack[-1]] == chr(219 - ord(s[i])):
7 j = stack.pop()
8 score += i - j
9 else:
10 stack.append(i)
11print(score)ℹ
Complexity note: The time complexity is O(n) because we process each character once. The space complexity is O(n) due to the stack that may store all indices in the worst case.
- 1Using a stack helps in efficiently finding mirror pairs.
- 2Understanding character encoding can simplify mirror calculations.
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