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Reverse Degree of a String
Calculate the reverse degree of a string by simulating operations on its characters based on their positions in the alphabet.
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Code langs
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Practice Focus
Easy · String plus Simulation
Answer-first summary
Calculate the reverse degree of a string by simulating operations on its characters based on their positions in the alphabet.
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The problem requires calculating the reverse degree of a string. By simulating operations on its characters, we derive the degree based on their positions in the alphabet. The solution depends on simulating each character's operation efficiently.
Problem Statement
Given a string s, you are tasked with calculating its reverse degree. The reverse degree is determined by applying an operation to each character of the string, which is based on its position in the alphabet.
For each character in the string, calculate its position in the reverse alphabet (starting from 'z' = 1, 'y' = 2, ..., 'a' = 26). Sum these positions to return the reverse degree of the string.
Examples
Example 1
Input: s = "abc"
Output: 148
The reversed degree is 26 + 50 + 72 = 148 .
Example 2
Input: s = "zaza"
Output: 160
The reverse degree is 1 + 52 + 3 + 104 = 160 .
Constraints
- 1 <= s.length <= 1000
- s contains only lowercase English letters.
Solution Approach
Simulate Character Operations
Start by simulating the reverse alphabet position for each character in the string. For every character, find its reverse alphabet position and accumulate the sum.
Efficient Accumulation
Instead of re-calculating positions repeatedly, directly map each character to its reverse position using its ASCII value, making the summing process efficient.
Edge Case Considerations
Handle edge cases where the string length is minimal or maximal. Ensure that operations scale appropriately for strings of size up to 1000 characters.
Complexity Analysis
| Metric | Value |
|---|---|
| Time | Depends on the final approach |
| Space | Depends on the final approach |
The time complexity depends on the approach used to traverse the string and compute the reverse alphabet positions. A direct calculation of each character's reverse degree gives a time complexity of O(n), where n is the length of the string. The space complexity depends on whether any additional data structures are used, but with a direct approach, the space complexity is O(1).
What Interviewers Usually Probe
- Ensure the candidate correctly simulates the reverse position of each character.
- Watch for an efficient solution that avoids unnecessary recalculations.
- Look for proper handling of edge cases like strings of minimal and maximal length.
Common Pitfalls or Variants
Common pitfalls
- Misunderstanding the reverse alphabet positioning, leading to incorrect calculations.
- Recalculating character positions multiple times rather than storing values for efficiency.
- Forgetting to properly handle the string length limits and failing to optimize for larger inputs.
Follow-up variants
- Consider extending the problem to handle mixed-case strings and their reverse degree.
- Change the problem to calculate the forward degree and compare the solutions.
- Challenge the candidate to optimize the solution further with a different approach, like using precomputed values.
FAQ
What is the reverse degree of a string?
The reverse degree of a string is the sum of the reverse positions of each character in the string, where 'z' = 1, 'y' = 2, ..., 'a' = 26.
How do I simulate the reverse alphabet position for each character?
For each character, find its ASCII value and subtract it from the ASCII value of 'z' to get the reverse alphabet position.
How can I optimize the solution for large strings?
You can optimize the solution by calculating each character's reverse position once and summing them directly, without redundant operations.
What is the complexity of the reverse degree problem?
The time complexity is O(n), where n is the length of the string. The space complexity is O(1) if no additional data structures are used.
How does GhostInterview help with the reverse degree of a string problem?
GhostInterview provides efficient techniques, helps with simulating character operations, and ensures proper handling of edge cases for calculating the reverse degree.
Solution
Solution 1: Simulation
We can simulate the reverse degree of each character in the string. For each character, calculate its position in the reverse alphabet, multiply it by its position in the string, and then sum up all the results.
class Solution:
def reverseDegree(self, s: str) -> int:
ans = 0
for i, c in enumerate(s, 1):
x = 26 - (ord(c) - ord("a"))
ans += i * x
return ansContinue Topic
string
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