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LeetCode SQL 50 Solution/610. Triangle Judgement/readme.md

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+Below is the structured README.md snippet for **LeetCode 610: Triangle Judgement**, including the problem statement, example, solution approaches (SQL and Pandas), file structure, and useful links.
+
+---
+
+# **610. Triangle Judgement**
+
+## **Problem Statement**
+You are given a table `Triangle` that contains three integer values representing the lengths of three line segments.
+
+### **Triangle Table**
+```
++-------------+------+
+| Column Name | Type |
++-------------+------+
+| x           | int  |
+| y           | int  |
+| z           | int  |
++-------------+------+
+```
+- **(x, y, z)** is the **primary key**.
+- Each row represents the lengths of three line segments.
+
+### **Task:**
+Report for each row whether the three line segments can form a triangle. A triangle can be formed if and only if the sum of any two sides is greater than the third side.
+
+---
+
+## **Example 1:**
+
+### **Input:**
+#### **Triangle Table**
+```
++----+----+----+
+| x  | y  | z  |
++----+----+----+
+| 13 | 15 | 30 |
+| 10 | 20 | 15 |
++----+----+----+
+```
+
+### **Output:**
+```
++----+----+----+----------+
+| x  | y  | z  | triangle |
++----+----+----+----------+
+| 13 | 15 | 30 | No       |
+| 10 | 20 | 15 | Yes      |
++----+----+----+----------+
+```
+
+### **Explanation:**
+- For the first row: `13 + 15` is not greater than `30`, so the segments cannot form a triangle.  
+- For the second row: All conditions are met (`10+20 > 15`, `10+15 > 20`, `20+15 > 10`), so they form a triangle.
+
+---
+
+## **Solution Approaches**
+
+### **SQL Solution**
+```sql
+SELECT
+  x,
+  y,
+  z,
+  IF(x + y > z AND x + z > y AND y + z > x, 'Yes', 'No') AS triangle
+FROM Triangle;
+```
+**Explanation:**
+- The query checks if the sum of any two sides is greater than the third side.
+- If all conditions are true, it returns `'Yes'`; otherwise, it returns `'No'`.
+
+---
+
+### **Pandas Solution**
+```python
+import pandas as pd
+
+def triangle_judgement(triangle: pd.DataFrame) -> pd.DataFrame:
+    # Create a new column 'triangle' based on the triangle inequality conditions
+    triangle['triangle'] = triangle.apply(
+        lambda row: 'Yes' if (row['x'] + row['y'] > row['z'] and 
+                              row['x'] + row['z'] > row['y'] and 
+                              row['y'] + row['z'] > row['x']) else 'No',
+        axis=1
+    )
+    return triangle
+
+# Example usage:
+# df = pd.DataFrame({'x': [13, 10], 'y': [15, 20], 'z': [30, 15]})
+# print(triangle_judgement(df))
+```
+**Explanation:**
+- The Pandas solution uses `apply()` with a lambda function to evaluate the triangle inequality for each row.
+- It then creates a new column `triangle` with the result `'Yes'` or `'No'`.
+
+---
+
+## **File Structure**
+```
+LeetCode610/
+├── problem_statement.md       # Contains the problem description and constraints.
+├── sql_solution.sql           # Contains the SQL solution.
+├── pandas_solution.py         # Contains the Pandas solution.
+├── README.md                  # Overview of the problem and available solutions.
+```
+
+---
+
+## **Useful Links**
+- [LeetCode Problem 610](https://leetcode.com/problems/triangle-judgement/)
+- [SQL IF Function](https://www.w3schools.com/sql/func_mysql_if.asp)
+- [Pandas apply() Documentation](https://pandas.pydata.org/docs/reference/api/pandas.DataFrame.apply.html)
+
+---
+
+This structured format provides a comprehensive overview of the problem along with multiple solution approaches. Happy coding! 🚀