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| 1 | +# Problem Title |
| 2 | + |
| 3 | +**Difficulty:** Easy |
| 4 | +**Category:** Strings,Hash table |
| 5 | +**Leetcode Link:** [Problem Link]https://leetcode.com/problems/ransom-note/ |
| 6 | + |
| 7 | +--- |
| 8 | + |
| 9 | +## 📝 Introduction |
| 10 | + |
| 11 | +You are given two strings: ransomNote and magazine. |
| 12 | +You need to determine if you can construct the ransomNote using the letters from magazine. |
| 13 | + |
| 14 | +Each letter in magazine can only be used once in ransomNote. |
| 15 | +Return true if possible, otherwise return false. |
| 16 | + |
| 17 | +Constraints: |
| 18 | + |
| 19 | +1 <= ransomNote.length, magazine.length <= 10⁵ |
| 20 | + |
| 21 | +ransomNote and magazine consist of lowercase English letters |
| 22 | + |
| 23 | +--- |
| 24 | + |
| 25 | +## 💡 Approach & Key Insights |
| 26 | + |
| 27 | +The key idea is to count the frequency of each character in both ransomNote and magazine. |
| 28 | +Then, ensure that for each character required by the ransom note, the magazine has at least that many occurrences. |
| 29 | + |
| 30 | +A brute force approach would be inefficient. |
| 31 | +Instead, we can use a hash map (or Python’s collections.Counter) to store and compare character frequencies efficiently. |
| 32 | + |
| 33 | +--- |
| 34 | + |
| 35 | +## 🛠️ Breakdown of Approaches |
| 36 | + |
| 37 | +### 1️⃣ Brute Force / Naive Approach |
| 38 | + |
| 39 | +-**Explanation:** For every character in ransomNote, loop through magazine and find a match, removing used characters. |
| 40 | +This leads to nested iterations and repeated string operations. |
| 41 | + |
| 42 | +- **Time Complexity:** *O(n^2) - nested loops for character comparisons* |
| 43 | +- **Space Complexity:** *O(1) - no additional data structures used* |
| 44 | +- **Example/Dry Run:** |
| 45 | + |
| 46 | +Example input: ransomNote = "aa", magazine = "aab" |
| 47 | +Step 1 → Check for 'a' in magazine → Found |
| 48 | +Step 2 → Remove 'a' → magazine = "ab" |
| 49 | +Step 3 → Check for 'a' again → Found |
| 50 | +Step 4 → Return true |
| 51 | + |
| 52 | + |
| 53 | +### 2️⃣ Optimized Approach |
| 54 | + |
| 55 | +- **Explanation:** Use a hash map to count how many times each letter appears in magazine. |
| 56 | +Then, for each letter in ransomNote, check if it exists in the map with sufficient count. Decrease the count as we go |
| 57 | + |
| 58 | +- **Time Complexity:** *O(m + n) - where m = len(magazine), n = len(ransomNote)* |
| 59 | +- **Space Complexity:** *O(1)-because character set is fixed (26 lowercase letters) |
| 60 | + |
| 61 | +- **Example/Dry Run:** |
| 62 | + |
| 63 | +ransomNote = "aa", magazine = "aab" |
| 64 | +Step 1 → magazine_counter = {'a': 2, 'b': 1} |
| 65 | +Step 2 → Check 'a' in ransomNote → Yes (2 available) → decrement to 1 |
| 66 | +Step 3 → Check 'a' again → Yes (1 available) → decrement to 0 |
| 67 | +Step 4 → Return true |
| 68 | + |
| 69 | + |
| 70 | +### 3️⃣ Best / Final Optimized Approach (if applicable) |
| 71 | + |
| 72 | +- **Explanation:** * Use a hash map to count how many times each letter appears in magazine. |
| 73 | +Then, for each letter in ransomNote, check if it exists in the map with sufficient count. Decrease the count as we go* |
| 74 | +- **Time Complexity:** *O(m + n) - where m = len(magazine), n = len(ransomNote)* |
| 75 | +- **Space Complexity:** *O(1) - because character set is fixed (26 lowercase letters)* |
| 76 | +- **Example/Dry Run:** |
| 77 | + |
| 78 | +Example input: |
| 79 | +ransomNote = "aa", magazine = "aab" |
| 80 | +Step 1 → magazine_counter = {'a': 2, 'b': 1} |
| 81 | +Step 2 → Check 'a' in ransomNote → Yes (2 available) → decrement to 1 |
| 82 | +Step 3 → Check 'a' again → Yes (1 available) → decrement to 0 |
| 83 | +Step 4 → Return true |
| 84 | +--- |
| 85 | + |
| 86 | +## 📊 Complexity Analysis |
| 87 | + |
| 88 | +| Approach | Time Complexity | Space Complexity | |
| 89 | +| ------------- | --------------- | ---------------- | |
| 90 | +| Brute Force | O(n^2) | O(1) | |
| 91 | +| Optimized | O(m + n) | O(1) | |
| 92 | +| Best Approach | O(m + n) | O(1) | |
| 93 | + |
| 94 | +--- |
| 95 | + |
| 96 | +## 📉 Optimization Ideas |
| 97 | + |
| 98 | +Use collections.Counter in Python for cleaner syntax and built-in methods for frequency counting and subtraction. |
| 99 | + |
| 100 | +Early exit: if len(ransomNote) > len(magazine), return False immediately. |
| 101 | + |
| 102 | +--- |
| 103 | + |
| 104 | +## 📌 Example Walkthroughs & Dry Runs |
| 105 | + |
| 106 | +Example: |
| 107 | +Input: ransomNote = "abc", magazine = "aabbcc" |
| 108 | +Process: |
| 109 | +1 → Count magazine: {'a': 2, 'b': 2, 'c': 2} |
| 110 | +2 → 'a' needed → OK |
| 111 | +3 → 'b' needed → OK |
| 112 | +4 → 'c' needed → OK |
| 113 | +Output: true |
| 114 | + |
| 115 | +Input: ransomNote = "aab", magazine = "abc" |
| 116 | +Process: |
| 117 | +1 → Count magazine: {'a': 1, 'b': 1, 'c': 1} |
| 118 | +2 → 'a' needed → Only 1 'a' available |
| 119 | +Output: false |
| 120 | + |
| 121 | +--- |
| 122 | + |
| 123 | +## 🔗 Additional Resources |
| 124 | + |
| 125 | +- collections.Counter docs |
| 126 | +- Pythonic Solution Discussion |
| 127 | + |
| 128 | + |
| 129 | +--- |
| 130 | + |
| 131 | +Author: Andrew |
| 132 | +Date: 13/06/2025 |
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