1857. Largest Color Value in a Directed Graph | Leetcode Daily - Python
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Dive into LeetCode 1857: "Largest Color Value in a Directed Graph"! In this video, we break down how to solve this challenging graph problem step-by-step. We're given a directed graph where each node has a color, and our goal is to find the path with the highest frequency of any single color. A crucial catch is that if the graph contains a cycle, the answer is -1.
We'll explore an efficient approach using a combination of Topological Sort and Dynamic Programming. Learn how to:
1. Represent the graph and calculate in-degrees for each node.
2. Use a queue to process nodes in topological order, which also helps detect cycles.
3. Implement a dynamic programming table (dp_counts[node][color]) to store the maximum count of each color on paths ending at a specific node.
4. Propagate these counts to neighboring nodes as we traverse the graph.
5. Handle cycle detection: if not all nodes are processed, a cycle exists.
6. Determine the overall largest color value found across all valid paths.
We'll walk through the logic, an example, and then a Python code implementation, explaining each part clearly. Understand the time and space complexity of this O(N + M) solution.
Perfect for coding interview preparation and improving problem-solving skills.
👍 Like, Subscribe, and Comment! Let me know what problems you'd like to see solved.
Solution Link:
https://leetcode.com/problems/largest-color-value-in-a-directed-graph/editiorial/
#leetcode #python #algorithms #codinginterview #dailycoding
Видео 1857. Largest Color Value in a Directed Graph | Leetcode Daily - Python канала Leetcode Daily
Dive into LeetCode 1857: "Largest Color Value in a Directed Graph"! In this video, we break down how to solve this challenging graph problem step-by-step. We're given a directed graph where each node has a color, and our goal is to find the path with the highest frequency of any single color. A crucial catch is that if the graph contains a cycle, the answer is -1.
We'll explore an efficient approach using a combination of Topological Sort and Dynamic Programming. Learn how to:
1. Represent the graph and calculate in-degrees for each node.
2. Use a queue to process nodes in topological order, which also helps detect cycles.
3. Implement a dynamic programming table (dp_counts[node][color]) to store the maximum count of each color on paths ending at a specific node.
4. Propagate these counts to neighboring nodes as we traverse the graph.
5. Handle cycle detection: if not all nodes are processed, a cycle exists.
6. Determine the overall largest color value found across all valid paths.
We'll walk through the logic, an example, and then a Python code implementation, explaining each part clearly. Understand the time and space complexity of this O(N + M) solution.
Perfect for coding interview preparation and improving problem-solving skills.
👍 Like, Subscribe, and Comment! Let me know what problems you'd like to see solved.
Solution Link:
https://leetcode.com/problems/largest-color-value-in-a-directed-graph/editiorial/
#leetcode #python #algorithms #codinginterview #dailycoding
Видео 1857. Largest Color Value in a Directed Graph | Leetcode Daily - Python канала Leetcode Daily
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26 мая 2025 г. 5:13:27
00:09:06
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