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Largest Rectangle in Histogram

**Problem Statement:** Given the required input arguments, write an efficient algorithm to solve the **Largest Rectangle in Histogram** problem. Implement the required logic as specified by standard definitions for this classic algorithmic challenge. **Hint / Expected Approach:** Monotonic increasing stack, extend left **Edge Cases to Consider:** - (1) Single bar - (2) All same height - (3) Strictly decreasing heights

Examples

Example 1
Input: [2,1,5,6,2,3]
Output: 10
Explanation: Classic
Example 2
Input: [2,4]
Output: 4
Example 3
Input: [1]
Output: 1
Explanation: Single bar

Constraints

  • ▪Input arguments are within valid ranges
  • ▪Optimize for execution speed
  • ▪Handle null/empty inputs gracefully

Watch Out For Edge Cases

  • ▪Single bar
  • ▪All same height
  • ▪Strictly decreasing heights
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