#383
Ransom Note
EasyHash TableStringCountingHash 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 uses a frequency count of characters in the magazine. This allows us to efficiently check if we have enough letters to construct the ransom note.
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Algorithm
4 steps- 1Step 1: Create a frequency map (dictionary) to count occurrences of each character in magazine.
- 2Step 2: For each character in ransomNote, check if it exists in the frequency map and if the count is greater than zero.
- 3Step 3: Decrease the count in the frequency map for each character used.
- 4Step 4: If all characters are accounted for, return true; otherwise, return false.
solution.py10 lines
1# Full working Python code
2
3def canConstruct(ransomNote, magazine):
4 from collections import Counter
5 magazine_count = Counter(magazine)
6 for char in ransomNote:
7 if magazine_count[char] <= 0:
8 return False
9 magazine_count[char] -= 1
10 return Trueℹ
Complexity note: The time complexity is O(n) because we traverse the magazine and ransomNote strings once each. The space complexity is O(n) for storing the frequency counts.
- 1Using a frequency count allows us to efficiently track character availability.
- 2The optimal solution scales better with larger inputs due to linear time complexity.
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