Find Players With Zero or One Losses — LeetCode #2225 (Medium)
Tags: Array, Hash Table, Sorting, Counting
Related patterns: Hash Map, Array
Brute Force approach
Time complexity: O(n²). Space complexity: O(1).
In the brute force approach, we will iterate through the matches and for each player, we will count how many matches they have lost. This is straightforward but inefficient, as it requires checking each player against all matches.
The time complexity is O(n²) because for each unique player, we iterate through all matches to count losses. This can be slow for large inputs.
- Step 1: Create a list of unique players from the matches.
- Step 2: For each player, count the number of losses by iterating through the matches.
- Step 3: Classify players into two lists based on their loss count: zero losses and one loss.
Input: [[1,3],[2,3],[3,6],[5,6],[5,7],[4,5],[4,8],[4,9],[10,4],[10,9]]
1. Players set: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}
2. Count losses for player 1: 0 losses
3. Count losses for player 2: 0 losses
4. Count losses for player 3: 2 losses
5. Count losses for player 4: 3 losses
6. Count losses for player 5: 1 loss
7. Count losses for player 6: 2 losses
8. Count losses for player 7: 0 losses
9. Count losses for player 8: 0 losses
10. Count losses for player 9: 2 losses
11. Count losses for player 10: 0 losses
Final output: [[1, 2, 10], [4, 5, 7, 8]]
Optimal Solution approach
Time complexity: O(n). Space complexity: O(n).
In the optimal solution, we use a single pass through the matches to count losses for each player using a hash map. This reduces the time complexity significantly, allowing us to efficiently categorize players.
The time complexity is O(n) because we only iterate through the matches once and then through the hash map, which is efficient for large inputs.
- Step 1: Initialize a hash map to count losses for each player.
- Step 2: Iterate through the matches and update the loss count for the loser in the hash map.
- Step 3: Create two lists for players with zero losses and one loss by checking the hash map.
Input: [[1,3],[2,3],[3,6],[5,6],[5,7],[4,5],[4,8],[4,9],[10,4],[10,9]]
1. Initialize lossCount: {}
2. After processing [1,3]: lossCount: {3: 1, 1: 0}
3. After processing [2,3]: lossCount: {3: 2, 1: 0, 2: 0}
4. After processing [3,6]: lossCount: {3: 2, 1: 0, 2: 0, 6: 1}
5. After processing [5,6]: lossCount: {3: 2, 1: 0, 2: 0, 6: 1, 5: 0}
6. After processing [5,7]: lossCount: {3: 2, 1: 0, 2: 0, 6: 1, 5: 0, 7: 0}
Final output: [[1, 2, 10], [4, 5, 7, 8]]
Key Insights
- Using a hash map allows for efficient counting of losses without needing nested loops.
- Sorting the final lists ensures the output is in increasing order, which is a common requirement.
Common Mistakes
- Failing to initialize the hash map correctly, leading to incorrect counts.
- Not considering players who have not lost any matches, which can lead to missing entries in the output.
Interview Tips
- Always clarify the requirements and constraints of the problem before jumping into coding.
- Think about edge cases, such as when there are no matches or when all players have lost.
- Explain your thought process and approach as you code, as this demonstrates your problem-solving skills to the interviewer.