#3271
Hash Divided String
MediumStringSimulationHash 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)
The optimal solution improves efficiency by directly calculating the hash values without unnecessary iterations. By using a single loop to process the string, we reduce the time complexity significantly.
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Algorithm
6 steps- 1Step 1: Initialize an empty string result to store the final hashed characters.
- 2Step 2: Loop through the string s in increments of k to extract each substring.
- 3Step 3: For each substring, calculate the sum of the hash values of its characters in a single pass.
- 4Step 4: Compute the remainder of the sum when divided by 26 to get hashedChar.
- 5Step 5: Convert hashedChar back to a character and append it to result.
- 6Step 6: Return the result string.
solution.py9 lines
1# Full working Python code
2
3def hash_divided_string(s, k):
4 result = ''
5 for i in range(0, len(s), k):
6 hash_sum = sum(ord(s[j]) - ord('a') for j in range(i, i + k))
7 hashedChar = hash_sum % 26
8 result += chr(hashedChar + ord('a'))
9 return resultℹ
Complexity note: The time complexity is O(n) because we are processing each character exactly once. The space complexity is O(n) due to the storage of the result string.
- 1Understanding how to break down the string into substrings is crucial.
- 2Hashing characters based on their position in the alphabet is a common technique.
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